diff --git "a/data/dm_maths/full_data/2667_11255.jsonl" "b/data/dm_maths/full_data/2667_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2667_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Rearrange 155*h - 21 + 21 to n*h + a and give n.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -m + 4, -2*x - 16 = -7*x - m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 3*v**7\/35 - v**5\/15 - 18*v**2. What is the third derivative of h(g) wrt g?\nAnswer: 432*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5042909 and 50462?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -714154184*d**2*j**2 + 214309842*j**2 with respect to d.\nAnswer: -1428308368*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.4 + -119.4. Let i = w - -101. Put -5, -2\/3, i in decreasing order.\nAnswer: i, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33259 + 33259 + 451*j to the form y*j + v and give y.\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i - 1353. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 + -106. Let k be t*(136\/60 + -2). Which is the closest to 3\/19? (a) k (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 20 = -7*z. Solve -2*m - z*h = -4, 3*m + 0*m - 6 = h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 5:45 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 77641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 41000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -237 - -225. Let x(r) = r**3 + 14*r**2 + 22*r + 1. What is the tens digit of x(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 29*n**3 + 4*n**2 + 8*n**2 + 75*n**2 - 17. Let r(x) = -10*x**3 - 29*x**2 + 6. Let f(y) = 6*k(y) + 17*r(y). What is the third derivative of f(o) wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - f + 1. Let i = f + -6. Sort i, -3, 5 in decreasing order.\nAnswer: 5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28154 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*t = -236*t + 248. Let v(g) = -g**2 + 2*g - 1. Let c(k) = k. Calculate t*c(p) - v(p).\nAnswer: p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6306 + -219. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 590158 divided by -3.\nAnswer: -590158\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 44*c**2 - 123*c + 5. Let q be f(-41). Suppose -3*o + 15 - 8 = -i, o - q*i = 7. Factor o*y**2 - 8\/3*y + 0 + 2\/3*y**3.\nAnswer: 2*y*(y - 1)*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -18 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -205985, -3, -4, 13 in increasing order.\nAnswer: -205985, -4, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1886578814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 329?\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 801 divided by 5\nAnswer: 801\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2948*k = -2945*k - 1317. Calculate the remainder when k is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 4239 - 4243 = 5*b, 180*c + 2*b - 180 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.02 - 13. Let o = -85 - -80. Let v = 1\/81 + -251\/648. Which is the second biggest value? (a) o (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + 12. What is the remainder when c is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)\/f)\/f**(-1\/2))\/((f*f**(2\/9))\/(f*f\/(f*f**(-5))*f))*(f\/(f*f**0))**(1\/4)*((f\/(f\/f**(2\/9)))\/f)\/f**(-3) assuming f is positive.\nAnswer: f**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 442977386 to the power of 1\/3, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**2 - 7*g - 7. Suppose 5 = -2*l + 3. Let z be -3 + (l + 2)\/(3\/(-3)). What is the units digit of f(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8064) + 2*sqrt(8064) + sqrt(56))\/(sqrt(8) + sqrt(16)\/(sqrt(10)\/sqrt(5))).\nAnswer: 37*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 1 - 12) + 170 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(245) + -1)*3 - (3*sqrt(880) - sqrt(55))\/sqrt(11)).\nAnswer: -30*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(132) - sqrt(132)) + sqrt(132) + sqrt(132))*3)\/(-2*sqrt(972) + sqrt(12)))**2.\nAnswer: 396\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4169689570 to the nearest integer?\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22607338.\nAnswer: 2, 13, 229, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6b + 1693?\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -28*n**2 - 76*n - 88. Let v(f) = 9*f**2 + 25*f + 29. Let l(c) = -5*r(c) - 16*v(c). Factor l(b).\nAnswer: -4*(b + 2)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**(-47)*(d**2)**(-9\/2) assuming d is positive.\nAnswer: d**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24903625*k**3*u**2 - 5*k*u**2 + 5*k*u + 55*k - 2*u**2 - 472 wrt k.\nAnswer: 149421750*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 3 - -10)\/2. Let h = 9 + n. What is the lowest common multiple of 8 and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911.965ug in milligrams?\nAnswer: 1.911965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 5740800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23206 and 14.\nAnswer: 162442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqqoqqoqq. Give prob of picking 2 q.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 472 divided by -118?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 j, and 2 n when four letters picked without replacement from {n: 6, c: 4, j: 1, i: 2}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -587316.\nAnswer: -5\/293658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/(((-162)\/(-24))\/27)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - 66. Suppose -s + 2*j = -16, 2*s = -2*s - j + 28. Let d = s + w. Solve -4*u + d = 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 7*g - 3*g)*(g - 2 - 1 + 1) - 10*g**2 + 2*g**2 - 3*g**2 to q*g**2 + f + z*g and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - -1.64. Let c = 0.4 + y. What is the closest to c in 2, 0.3, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -6190.\nAnswer: -30950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**5\/60 + a**4\/12 - a**3\/3 + a**2. Suppose 3*f + 17 = -7. Let b = 4 + f. Give i(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*q. Suppose q = t - 4*h - 1 + 5, 0 = 5*t + 2*h - 46. Let y(v) = 2*v**2 - 9*v + 11. Is y(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105569*l**2 + l - 224485.\nAnswer: -211138*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11039 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17 - -2)\/(3\/9). Let t = p - -95. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*u + 10*o = -89*u - 235, 179 = -5*u - 3*o + 7*o for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 62. Let g be (-4)\/1 + 5 + 631. Let d = -368 + g. Calculate the greatest common factor of d and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 20 = -4*y, -s + 5*y = -3*s + 11. Let c(d) = d**3 - 8*d**2 + d - 9. Let x be c(s). What are the prime factors of (0 + x - 2) + 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 + -104. What is the lowest common multiple of (-8)\/(((-88)\/198)\/(6\/9)) and v?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2878121923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**2 - 4*g**2 + 2*g**2)*(3*g**2 + 2312*g - 1095*g - 55 - 1210*g) to h*g**2 + o + z*g**4 + r*g**3 + d*g and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28254559?\nAnswer: 673, 41983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3073674?\nAnswer: 2, 3, 23, 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**5\/60 + r**2. Let k = -3 - -5. Let j(x) = -3*x**k + x**2 + x**2. Calculate j(g(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 2*l**3\/3 - 3*l - 2. Let h be j(-3). What is the greatest common factor of h and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.758 + 10795\nAnswer: 10795.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**3 + o - 12*o - 4*o**3 + 6 + 4*o**2 - 3*o**3. Let c(p) = 7*p**3 - 9*p**2 + 21*p - 12. Let i(v) = 3*c(v) + 5*w(v). Give i(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2515 + -56034?\nAnswer: -53216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1658.606 and -0.15?\nAnswer: -248.7909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 259 + -266. What is the nearest to 2\/7 in -5, -4\/11, t?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77) + (3*sqrt(77)*1 - sqrt(77)))*3)\/(((sqrt(175) - -3*sqrt(175)*2) + sqrt(175))*-4).\nAnswer: 27*sqrt(11)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rczcbaracyrb. Give prob of picking 2 r and 2 a.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = 2*o, -l + 118 = o. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-946)\/(-352)*2\/(-1 - (-9)\/15).\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((-13)\/(-39)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -2, 3, -13, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.2 and 0.2.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 - 10249*w - 10249*w - w**2 - 5*w**2 - 11 + 20497*w + 2*w**3 + 2*w**4 to q + k*w**3 + a*w + g*w**2 + v*w**4 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2075, -8930, -20557, -36956, -58127?\nAnswer: -84070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -200 + 405. List the prime factors of v.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1547*f**3 + 143*f**2 + 143*f + 143. Let t(j) = -43*j**3 - 4*j**2 - 4*j - 4. Calculate 4*d(o) + 143*t(o).\nAnswer: 39*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18285684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -902 * 0.6.\nAnswer: -541.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q - 2. Let x(y) = -8*y. What is a(x(i))?\nAnswer: 64*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 445910?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 742, 1444, 2416, 3652, 5146, 6892?\nAnswer: 8884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 - -0.5. Let u be 4\/(-10) - 546\/585. Put u, m, 1 in ascending order.\nAnswer: u, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/(-7370)*(-640)\/6 + (-5)\/(-55). Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/8910 and 62\/9472545.\nAnswer: 208395990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1284106763 to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/1257536 and 97\/224.\nAnswer: 1257536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -1896\/13 (b) 2\/5 (c) -0.5 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 18 + a + 19 - 2. Let v be p(0). Calculate the highest common divisor of v and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -526372 by 2.\nAnswer: -263186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 - 2*f + 1. Let u(n) = -n**2 + 1. Let x(k) = o(k) - 2*u(k). Let j be x(-3). Which is the nearest to -2\/7? (a) 5 (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002606973179 to 6 dps.\nAnswer: -0.000261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3607.\nAnswer: 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1. Let r(c) = c**2 + 2. Determine -10*k(m) - 2*r(m).\nAnswer: -2*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -36*f**2 + 24*f - 7. Let c(k) = 36*k**2 - 21*k + 6. Determine 5*c(m) + 4*z(m).\nAnswer: 36*m**2 - 9*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*a = 7*a + 6453 + 3746. Solve 25*v = 267 - a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**3 - 3*a**2 - a. Let c be u(-4). Let m = 45 - c. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = k + 2, -2*v + 5*v - 2*k - 3 = 0. Let j be (12 - 3) + v - 2. What is the units digit of 20\/j*(6 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42111 or 42114?\nAnswer: 42114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 2*g - 1. Suppose 23 = 5*q - 37. Suppose -x + 3*x - 18 = 0. Let t be (x\/(-12))\/(q\/(-32)). Determine p(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -3059 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0044045 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19308 is divided by 2030.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.45? (a) -1\/4 (b) 1 (c) -1\/3 (d) -0.24 (e) -1\/19 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -51dbb3 (base 14) to base 15\nAnswer: -399631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*-125*-908320. What is z rounded to the nearest one million?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2*q - 20*q**2 - 2*q + 19*q**2.\nAnswer: -q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10\/9 (b) -1\/41 (c) -521 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -7*a**4\/2 - 754*a**3 + 117211*a**2\/2 + 25684*a - 33672 = 0.\nAnswer: -276, -1, 4\/7, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w - 2. Suppose -10 = -3*s + 2, -q - 4*s + 21 = 0. Suppose -3*g + 1 = t - q*g, -3*g = 3*t + 15. Is p(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1424 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2228 by 7.\nAnswer: 2228\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 19 - 33*o + 63*o - 32*o to h + g*o and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 2*r - 5*r**2 + (3 + 2*r - 3)*(4*r - 2*r + 2*r) to the form d + b*r + m*r**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(2)*-3*-1*-6.\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*k*m*s**2 + 7*k*m*s - 2*k*s**3 + 2*k - 121*m*s**3 - 75142*s**3 wrt m.\nAnswer: 8*k*s**2 + 7*k*s - 121*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r + 13*r**2 - 16*r**2 + 4*r**2 + 14*r**2 + 51*r in the form l*r + n + c*r**2 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 8*l**6\/15 + 68*l**5\/25 + 28*l**4\/5 + 88*l**3\/15 + 16*l**2\/5 + 4*l\/5 + 12. Factor c(u).\nAnswer: 4*(u + 1)**4*(4*u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33*(5 - (-18)\/(-4)))\/((-495)\/330)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -96, -232, -408, -624, -880, -1176?\n\"Answer: -20*y**2 - 76*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -179*o**4 - 1282*o**3 + 21475951.\nAnswer: -716*o**3 - 3846*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3 - 7228*u**2 + 824576*u + 1678080 = 0. Calculate u.\nAnswer: -2, 120, 3496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3492*z - 7 + 7781*z + 12119*z + 3 + 3 in the form c + y*z and give y.\nAnswer: 16408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mill. Give prob of picking 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 16*z - 63. Let b be o(11). Solve 7*d - 4 = b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6122 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37581 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-3)\/(-2))\/(-3))\/((-1)\/28). What is the highest common factor of u and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.5 and 11.9026?\nAnswer: 19.4026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -9*s**2\/2 + 10*s + 21. Differentiate c(n) wrt n.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 28*f**2 + 121*f + 30. List the prime factors of s(8).\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45441455?\nAnswer: 5, 257, 35363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5 = 11. What is the units digit of (0 + a)*(-1)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21035 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 17*i = 1610. Is 23 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 509795 divided by 7843\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v - 4*v + 0*v + (v + 2*v - v)*(3 - 5 + 3) + 10*v + 46 - 6*v - 7*v.\nAnswer: v + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 3*q. Let z be (0 + 5)\/(1*-1). Let n(r) = r**2 + 29*r. Let i(k) = -k**2 - 45*k. Let h(c) = -5*i(c) - 8*n(c). Determine z*v(m) - 2*h(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 + 22*q**2 - 42*q**2 + 12*q**2.\nAnswer: -8*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 337*p - 3155. What is t(9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 + 24*l**2 + 80*l + 20. Give s(-4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**6\/120 - 2*k**5\/15 + k**4\/24 - k**2. Let q be j(8). Solve -n - q = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*x**2 - 160*x - 16 = 0. What is x?\nAnswer: -2, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-1 + 0) - -2) + (2 - 2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1053))**2 - (-5 + sqrt(52)\/sqrt(4)).\nAnswer: -sqrt(13) + 4217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 0.4. Which is the biggest value? (a) 4\/9 (b) o (c) -1\/6 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -3. Let c(h) be the first derivative of 0*h**z + 0*h**2 + 1\/3*h**3 + 0*h**5 + 3 + 0*h + 1\/7*h**7 + 0*h**6. Find the third derivative of c(p) wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 3*f**2\/2 - 3. Let x(a) = 2*a. Let d(p) = -3*l(p) + 5*x(p). Let j(m) = -3*m**2. Give j(d(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8064339 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7239083.75 rounded to the nearest one hundred?\nAnswer: 7239100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22674*c**3 + 52 - 22768*c**3 + 60.\nAnswer: -94*c**3 + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o + 2 - 9*o**3 - 5*o**2 + 8*o**3 - 4. What are the prime factors of z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7*d = 0. Suppose d*f = f. Solve k = 2 - f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v**2 - 30*v + 89. Let t be j(3). Let z = 2722\/3 - 834. Let o = z + t. Which is the biggest value? (a) -1\/5 (b) o (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/165 and -29\/40.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + q - 13, -4*i = -266*q + 264*q - 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3779, 3875, 3969, 4061?\n\"Answer: -r**2 + 99*r + 3681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2149\/12 + 179. What is the common denominator of 15778\/(-4368) + 4\/26 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c + 3. Let q be b(-2). Let h(d) = -9*d**2 + 3*d + 3. Let w(f) = 11*f**2 - 3*f - 3. Let i(s) = -6*h(s) - 5*w(s). What is i(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -9. Suppose k - 3*v = 3*k - 28, -2*k + z = v. Calculate the remainder when 56 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 738*s**3 + 85 - 23 + 214 wrt s.\nAnswer: -2214*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.38 - 0.32. Let l = y + 1.7. What is the smallest value in 1\/8, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k - f = 45, -k + 4*f = -26. Let s(a) = 3*a**3 + 2*a**2 + a. Let g be s(-1). What is the remainder when (40 - 2) + (-4)\/g is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 114 (b) 2\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (-12582)\/(-30) + 6\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-24)\/9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/147)\/((-1)\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -3\/22, 2\/5, -4, 3, 1\/6?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 14. Suppose w = -4*k + 53, 2*w = -4*k + 31 + 19. Suppose 0 = g + 3*f + 8, -5*f = g + 4 + k. Give x(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1003044275362?\nAnswer: -1003044275362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136\/207 + 2\/207. Let g(d) be the first derivative of d - u*d**3 + 1\/2*d**2 + 3 - 1\/2*d**4 + 1\/6*d**6 + 1\/5*d**5. Suppose g(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 11. Let k(q) = q**2 - 11*q - 9. Let p be k(h). Find the third derivative of -3*l**4 + 2*l**3 - 2*l**p + 7*l**4 - 2*l**2 wrt l.\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 5:26 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from scscscccccc.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 496, 994, 1518, 2086, 2716, 3426, 4234, 5158?\nAnswer: 6216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*v + 106*v = -16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113021 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 1. Let p(l) = 50*l + 30. Let i(a) = -p(a) + 3*q(a). Find the first derivative of i(m) wrt m.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 9106.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 74265216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - i**2 - 2*i + 2. Let h be d(3). Let k be 102\/(-14) + 4\/h. Let t = -4 - k. Solve -t*j = -4*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2228 + 5086. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2889 times 5\nAnswer: 14445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + -2*sqrt(72) + sqrt(72))*-2)**2 + 2.\nAnswer: -1728*sqrt(2) + 3170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.2 + 21. Which is the closest to 2\/11? (a) -1\/3 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**4 - 16*t**3 + 16*t + 8. Let b(z) = 20*z**4 + 104*z**3 - 104*z - 52. Let a(u) = -5*b(u) - 32*r(u). Let a(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3517*j**2 - 5495 + 1008*j**2 + 15*j**2 - 3352*j**2 + 700*j**2 wrt j?\nAnswer: -10292*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 918 + 2336. Calculate the smallest common multiple of 12 and r.\nAnswer: 19524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970\/4125*45\/(-18)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + m + 2*m - 4, 6 = -3*m. Suppose 139 = 4*l + 3*c, 5*l - 25 = -c + 146. Calculate the remainder when l is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*-8*(-1)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9894597697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188333 is divided by 8968?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q = -30. Suppose 5*v - 12*w = -q*w + 475, 5*v - 3*w = 475. Calculate the highest common factor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.16 (b) -10700 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 6*l - l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 839421 * 0.23.\nAnswer: 193066.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 69?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2869?\nAnswer: 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 3*x - 19, -10 = 5*z + 5*x - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 283188, 1132696, 2548552, 4530762, 7079332, 10194268, 13875576, 18123262?\n\"Answer: n**3 + 283168*n**2 - 3*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153892 divided by -974.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 20 + 11 - 97150937*i + 97150923*i.\nAnswer: -14*i + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642115 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.8 minus 381584371569.7?\nAnswer: -381584371580.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10558?\nAnswer: 2, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 4*u - 8. Let m be x(-6). Let r(k) = 2*k**3 + 7*k**2 - 17*k - 6. Let g be r(-5). Solve 0*j**g - 35*j**2 + m*j**3 - j**4 + 36*j**2 - 4*j**5 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -5, 2, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/9 + 220414*d\/9 + 220412\/9.\nAnswer: 2*(d + 1)*(d + 110206)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlzgygrz. What is prob of sequence lr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -18*h + 82. What is t(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-26 - -19) + 1 + 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2306, -4560, -6822, -9092, -11370?\n\"Answer: -4*o**2 - 2242*o - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y + 22. Let p(h) = 1. Give d(v) + p(v).\nAnswer: -2*v + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5916 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u = -79*u + 266076. What are the prime factors of u?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2627700 and 5532.\nAnswer: 2627700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 139.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**3 + 3*t. Let l(j) = 7*j**3 - 4*j. Let k be 2 - (10 - 7 - 5). Give k*n(y) + 3*l(y).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times -8.16627?\nAnswer: -1.2249405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 231 + -148. Let s = -429.6 + 430. Which is the smallest value? (a) s (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/865 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + d + 2087. Let v(w) = -w**3 - w**2 - w - 2081. Give -3*h(p) - 2*v(p).\nAnswer: 2*p**3 - p**2 - p - 2099","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 + 82*d + 535. Calculate the remainder when s(-35) is divided by 348.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311.0377ml to litres.\nAnswer: 0.3110377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11010 (base 2) to base 9\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3999 - -323?\nAnswer: -3676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a factor of 2115625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -71.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjhd when four letters picked without replacement from xdjhhjlxjjddldjxj?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1750646 - 1750290.0515. Let j = 356 - k. What is j rounded to 3 dps?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3604161179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 85, 133, 197, 283?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 565 + -564. Let l = -28 + 61. Which is bigger: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.48790796 to 4 decimal places.\nAnswer: -1.4879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1416*s**2 + 2328*s wrt s?\nAnswer: -2832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*h - 1. Suppose -29*d + h = -24*d. Solve 2 = -d*m + 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 14070.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49924.\nAnswer: 2, 7, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 165361248 divided by -4524?\nAnswer: -36552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -158 + 20 - 7*v + 4*v + 0*v as o*v + k and give k.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -120, 6, -3, 3, -24.\nAnswer: -120, -24, -3, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -414662213?\nAnswer: -414662214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + 4*c + 1. Let w(g) = -g. Give -h(r) - 4*w(r).\nAnswer: -3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/5)\/((-108)\/(-30)). Let n(v) be the first derivative of 0*v**2 + 4\/15*v**5 - 1\/6*v**4 + 0*v**3 + 1 - l*v**6 + 0*v. Let n(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 7*x + 40. Let g(u) = u**3 - 9*u**2 + 8*u + 6. Let d be g(x). Suppose 16 = s - 5*n, 2*s - d*s + n = -64. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86939612 divided by 4.\nAnswer: -21734903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1278*w + 1275*w + 36. Solve 0 = -7*a + w + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29911, -60196, -90499, -120826, -151183, -181576, -212011, -242494?\nAnswer: -273031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 0*b**2 + 2*b**5 + 3*b - 3*b + 2*b**5 + (-5*b + b + 2*b)*(-2*b**2 + 2*b**2 - b**4) + 4*b**3 - 4*b**3 - b**5 + 6423*b**4 - 16515*b**5 - 6423*b**4.\nAnswer: -16510*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 11. Let o(k) = -5*k**3 + k - 5. Calculate the smallest common multiple of (-3 + 0)\/p - -4 and o(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -3\/8, 4\/5, 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1\/2, -1, 0.02, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2848.1073 and -35.\nAnswer: -99683.7555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7381*n - 1168 + 7381*n + 1168 - 8219*n**2. Let a(c) = 2*c**2. Calculate a(x(u)).\nAnswer: 135103922*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1735\/2100*-2 - 6\/(-63) and ((-158)\/(-140))\/(8\/(-20))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2292125?\nAnswer: 5, 11, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2497254 to the nearest integer?\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2626, 2622, 2614, 2602, 2586, 2566?\nAnswer: 2542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 115? (a) -37 (b) -10 (c) -3\/17 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 - 2*d - 4. Let j be i(2). Suppose -s + 3 = -r, -6*r - j*s + 21 = -r. Let h be ((-1)\/12)\/((-6)\/18). Put -2\/5, -5, r, h in decreasing order.\nAnswer: r, h, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*t + 38*t + 18. Solve q + q - 2*z = 0, -t*q + 5*z = 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8821 (base 9) to base 13.\nAnswer: -2c5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 = -5*h - h. Let l = h - -136. Let b = l + -48. Solve b + 14 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 883056621 - 57*j**2 - 883056621 + 14*j**2.\nAnswer: -43*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 19. Let i be (1 + 2 + g)*-1. Suppose i - 15 = -d. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12968, 51801, 116532, 207167, 323712, 466173?\nAnswer: 634556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2 + 2*n**2 + 1 - 2*n - 3*n**2. Let j be q(-3). Suppose w - 65 + j = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 97384.5 (b) 3 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 79107?\nAnswer: 237321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 15. Suppose w*i - 52 = 38. Calculate the greatest common factor of 75 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/20*-110*(-17)\/748.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1812 and 755.\nAnswer: 9060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2 + 6. Suppose 0*w = -w + 34. Let q = w + v. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + 14. List the prime factors of i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4986 is divided by 181?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11189 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1563, 1555, 1549, 1545?\nAnswer: 1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8408741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:17 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 1 + 655*g**3 - 643*g**3.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7596614 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Let z = 4.4 - -0.6. Sort -4, z, u in decreasing order.\nAnswer: z, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - -0.3. Let w = -0.5 + u. Sort 0.4, w, 1 in decreasing order.\nAnswer: 1, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j = -8 - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/(-18)*36\/45.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 4\/(-52)*-41. Let h(o) = -2 + 2 + 3 + o. Let u be h(-5). Which is the third smallest value? (a) u (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -6. Suppose -48396 = -52*c - 48084. What is the second smallest value in -4, c, -0.1, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 61, 43, 23, 1?\n\"Answer: -t**2 - 15*t + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6813*s**2. Let c(u) = 86*u. Determine x(c(l)).\nAnswer: 50388948*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 67936.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k\/((k*k\/((k**2*k)\/k))\/k))\/k)*k\/(k\/(k\/((k\/(k\/(k**(-6)*k))*k)\/k)))*(k*k\/k**(-2\/13))\/(k*(k**(2\/5)\/k)\/k))**(-24) assuming k is positive.\nAnswer: k**(-15216\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3 - 5 = 0. Suppose s*k + 0 = 4. Suppose -10 = -k*j + 2. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47598.\nAnswer: 2, 3, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -17*c. Let m(b) be the second derivative of b**3\/3 + 58*b**2 + 63*b + 3. What is y(m(u))?\nAnswer: -34*u - 1972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/b**18)))\/b**(4\/11) assuming b is positive.\nAnswer: b**(-191\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19, -2\/103, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 6:03 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*12\/45*(-1038)\/(-6228).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3686, -3778, -3872, -3968, -4066?\nAnswer: -4166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2590, 2393, 2160, 1873, 1514, 1065, 508, -175?\nAnswer: -1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z**2 + 4. Let b(t) = -t**2 - 1. Let d(a) = -6*b(a) - g(a). What is the units digit of d(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -106, 0, -4 in descending order.\nAnswer: 0, -2, -4, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 116.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1039*n - 5410*n + 96219 - 424044 for n.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 5:12 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 2443?\nAnswer: -34\/2443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 17*y**2 - 16*y + 2. Let q be g(-16). Let d(l) = 6*l**2 - 6*l**2 - 3*l**2 - 6*l**2 + 3*l**q. Let x(b) = -6*b + 1. What is d(x(p))?\nAnswer: -216*p**2 + 72*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/240*(-18)\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-220) + (-4)\/(-22). Let j = 2 - -1. Which is the nearest to h? (a) -4 (b) -2\/15 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -312 (c) 2\/5 (d) -1\/412\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 0.3 (c) 73 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -262*j + 1093. Give q(6).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/9, -0.097, 0.3, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*t + 8*t - 57 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596659952 - -0.3?\nAnswer: 596659952.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5079, -10158, -15237, -20316?\nAnswer: -25395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**3 + 67994240*w + 2 - 67994240*w.\nAnswer: 12*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 41*h**8\/336 + h**7\/105 - 2*h**4 - 15*h**2 - 1. What is the second derivative of o(j) wrt j?\nAnswer: 820*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 96*l**3\/7 - 31792*l**2\/7 + 5294*l\/7 + 662\/7 = 0.\nAnswer: -1\/12, 1\/4, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -280 + 9aa?\nAnswer: 72a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**22\/(q**40\/q))**(-1\/11) assuming q is positive.\nAnswer: q**(17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwinslw. Give prob of sequence whsi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 216607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*n - 6*n + 4*n)*(1 - 1 + n) to u*n + b*n**2 + r and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-1 - 8) + 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4014223 to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417 = -4*p + 1077. Suppose 14 = 2*q - 4*j, 5*j = -4*q + 2*j + 72. What is the greatest common factor of q and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 281.889 + 0.111. Let r = v + -274. Sort 1, r, 2, -2\/5 in ascending order.\nAnswer: -2\/5, 1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.5, 0, -2\/3, -1278?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 2 - 2 - 14*k**3 + 76*k**3.\nAnswer: 62*k**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1069?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(1\/(-2) + 0). Suppose -x - 5 = 3*m, -3*x - 3*m = -2 - 1. What is the closest to i in x, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 642.4 times 3\nAnswer: 1927.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/5 + 71494*s\/5 - 371904 = 0 for s.\nAnswer: -71520, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 + -0.09. Let o = -2.32 - f. Let x = o + 1.3. Which is the nearest to 2\/7? (a) -6 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 12:01 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39716.691 days in weeks?\nAnswer: 5673.813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9998 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 2, 15, 1, -1 in descending order.\nAnswer: 33, 15, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r**2 + 14*r + 140. Let c(f) = -3*f**2 - 5*f - 46. Determine -14*c(w) - 5*n(w).\nAnswer: 2*w**2 - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23646969?\nAnswer: 3, 47, 55903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1658593 is divided by 11763.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 0*f - 2*f)*(1 - 3 - 1 + (5 - 1 - 6)*(-4 + 3 + 4)) + (0 + 2 + 0)*(f - 2*f + 2*f).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 415*h - 17. Is z(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 405, 702, 905, 1008, 1005, 890, 657?\n\"Answer: -a**3 - 41*a**2 + 427*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1289 by -1.\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*c - 144*c + 31 = -294*c + 3*g, 13*g - 697 = c - 23*g - 52*g for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -749, -2078, -5185, -10958, -20285, -34054, -53153?\n\"Answer: -148*t**3 - t**2 - 290*t - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 2 (c) -0.3 (d) -1\/13 (e) 3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/((-22)\/33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 5*r - 3. Determine w(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Suppose 4*w = 3*y - 167, 0*w = s*w + 4*y + 144. Let j = 154 + w. What is the highest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3961 + -2227. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2777 = 366. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 74 = -23*f + 27*f, 2*t = 2*f + 28. Which is bigger: t or 161\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-6)*40\/60. Differentiate -412 + 19*h**i - 214*h**3 + 316 wrt h.\nAnswer: -585*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -177 + -99. Let i be (2\/4)\/((-6)\/b). Suppose -42 - i = -5*h. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 195 = -5*m. Calculate the highest common factor of 273 and m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/9 + 10*w**4\/9 - 1036*w**3\/3 - 66088*w**2\/9 - 311696*w\/9 = 0. Calculate w.\nAnswer: -22, -7, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 78. Let r = s + 71. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8090 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309233?\nAnswer: 109, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -48 - 49 - 2*y**2 + 97. Let v(d) be the second derivative of -65*d**3\/6 - d**2\/2 - 373*d. Determine v(s(k)).\nAnswer: 130*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51397\/792 + 714\/11. Let d(x) be the third derivative of 9*x**2 + 0*x**3 + f*x**4 + 0 - 1\/180*x**5 + 0*x. Factor d(r).\nAnswer: -r*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 21. Let n be (r\/(-2))\/((-2)\/212). Calculate the common denominator of -137\/12 and n\/(-14) - (1 + -3).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 0*h - 4\/3*h**3 + 0*h**2 + 7. Let q(i) = 1. Let s(a) = 3*q(a) + z(a). What is the first derivative of s(j) wrt j?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3. Suppose 0*r - 2*r = v. Suppose 0 = 3*i - r*i - 27. What is the highest common divisor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v - 8. Let h(g) = 3*g**2 + 2*g + 26 - 27 + 4*g**2 + 0*g**2. Let q be h(1). Let n be l(q). Solve -n = -4*p - 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 24. Put -20, g, -4 in descending order.\nAnswer: g, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7542975mg in micrograms?\nAnswer: 754.2975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**3 + 180*a**2 + 3*a + 475. What is m(45)?\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -35 and -43.73.\nAnswer: -78.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 3, -3, 45?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5046383164181 and 1.\nAnswer: -5046383164180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three tenths of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyhzhzhyhzy. Give prob of picking 2 h and 2 z.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3306 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*p + 39 + 11 = 0, 0 = -3*f - p - 136. Which is greater: -45 or f?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000771289 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**2 + 806*h - 408*h - 432*h to d*h + v + u*h**2 and give d.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 divided by 657.\nAnswer: 41\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**6\/180 - 3*g**3 + g**2\/2 - 127. Let c(w) be the third derivative of v(w). Let i(h) = 8*h**2 + 1. Give c(i(t)).\nAnswer: 128*t**4 + 32*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*k**6 + 6*k**6 + 6*k**6 - 24*k**5 + 7*k**5 + 90*k**2 wrt k.\nAnswer: -1680*k**3 - 1020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -127*f - 474. Let l be r(-9). Which is bigger: l or 670?\nAnswer: 670","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 15*h. Suppose -4*p - 38 = -5*q + 55, 2*q = 2. Let a(r) = -r. Let j(g) = p*a(g) - 2*m(g). Let i(n) = -1 - 1683*n + 1688*n + 3 - 2. What is j(i(x))?\nAnswer: -40*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3 = 7, 0 = -3*w + 4*r + 40. Let n(t) = 2*t**2 - 5*t - 2. Let g be n(4). Let m be 15\/2*w\/g. Solve 0 + m = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 8*a - 5. Let q be l(5). Suppose 4*n = 4*y - 44, 2*n + q = y - 3. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 8*p + 4*p + 8, 5*i - 3*p + 29 = 0. Does 9 divide (i\/(-6))\/(7\/273)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - i**2 + i + 2. Let w be k(0). Let t be ((-3)\/9)\/(((-30)\/4)\/(-5)). Sort w, 3, t in decreasing order.\nAnswer: 3, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -31*h + 224. Give w(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 8:21 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i - 5. Let r(n) = n. Let z = 224 - 219. What is z*r(l) + q(l)?\nAnswer: -l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 6 - 6 = -5*x, 3*o = 3*x - 9. Suppose 35 = 5*m + 5*j - x*j, m = 5*j - 23. Calculate the smallest common multiple of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 3\/207649418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1391*t - 289332. Calculate o(-208).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(99)*-1 + sqrt(99)) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m = -5. Suppose 4*h = -2*u + 10, u - 10 = -u. Let q = -1 - -9. What is the closest to 1\/2 in m, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 1 - 1 + 0. Let x(f) = 3*f - 3. Determine c(x(d)).\nAnswer: 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136305 is divided by 9735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*u - 45 = 0, 88*u = 85*u - 9. Solve 0 = -4*p + n, 0 = 3*i + 5*p - 41 + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 174, 356, 548, 756, 986?\n\"Answer: p**3 - p**2 + 178*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172299, 172300, 172301, 172302, 172303, 172304?\nAnswer: 172305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6243710 (base 10) in base 2?\nAnswer: -10111110100010101111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 l, and 1 v when three letters picked without replacement from {n: 1, v: 5, l: 5, r: 4, e: 5}?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) 18\/19 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 22*w**2 + 7*w + 33. Is r(-8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2 + 9*f - 8. Let r be g(5). Let i = r + 89. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99524500 to the nearest one hundred thousand.\nAnswer: -99500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 53. What is the lowest common multiple of z(-9) and 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(252) + 4)*-4 + 2)*2.\nAnswer: 28 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(12\/(-78)) + -2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + (2 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-234)*(-11 + 434\/(-8))?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17)*1 - sqrt(17))*2 - (-6*(0 + sqrt(17)))**2) + 4*(-2*sqrt(102))\/sqrt(6).\nAnswer: -612 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78 (base 11) to base 14.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 0*w + 4*w + 0*w in the form g*w + c*w**3 + o*w**2 + j and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23763?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10111187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b = 45*b - t + 3, 5*t + 3 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01263372 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/30 + (-4)\/10. Let h be 2 - ((b - 2) + 1). Suppose 5*u = 2*d + 18, -5*d = 4*u - 5*u - 1. Which is greater: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2479404 divided by -5793\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbn when three letters picked without replacement from {b: 5, n: 14}?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 1\/2*b**4 - 1\/6*b**3 + 0*b**2 - 5*b + 0. Find the second derivative of x(s) wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/6 and -5\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 10 = 6. Let n(y) be the first derivative of 1\/7*y**2 + 2\/21*y**3 - 1\/14*y**b - 3 - 2\/7*y. Factor n(i).\nAnswer: -2*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7354610 and 790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -899630 - -195112. Let i = 247989877\/352 + g. Let b = i + 81\/32. Find the common denominator of -73\/8 and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 42. Suppose -c*m - 5*y + 35 = 0, -1 + 5 = 4*m - 2*y. Solve v - m = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -226 + 155.2. Let u = 61 + p. Let l = -11 - u. Round l to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a decade?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 247 - 137. Let u = 844 + g. What are the prime factors of u?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) -4 (c) -0.3 (d) -3 (e) 0.101\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 770 and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k = -1458554 + 169370. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -169.22 to 1 decimal place.\nAnswer: -169.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11422 + 15945. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 1:00 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14753*10\nAnswer: 147530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-6)\/(-80))\/(-30*(-34)\/425)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 313, 665, 1019, 1375, 1733, 2093?\nAnswer: 2455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -b1722 (base 15) to base 2\nAnswer: -10001001001011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 2:06 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, 0.3, -1\/4, -2, 376389?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1177400 and 2119320?\nAnswer: 10596600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 32 = -56. Calculate the remainder when 98 is divided by (0 + j)\/((-20)\/(-240)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/60)\/((-2)\/124) + (-294 - -290).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -54?\nAnswer: -918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3356*i + 2624*i + 71736 = 0 for i.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 9:23 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 1\/191, 398\/15, 5?\nAnswer: 1\/191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*p = -13190, 5*p - 39519 = 403*a - 406*a. What are the prime factors of a?\nAnswer: 2, 11, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 8c8b153?\nAnswer: 8c8b158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 733*p. Let f(v) = 1426 - 1426 + 190*v - 182*v. Calculate f(q(a)).\nAnswer: 5864*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28\/10)\/((-2)\/(-10)). Let n = -9 + a. Suppose n*s + 72 - 262 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = -13*d - 164360. Let j = -920529\/28 + d. What is the common denominator of j and -148*5\/320 + 5?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, -3, -0.06, 10, -940\/9?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.4? (a) -3 (b) 5 (c) -0.1 (d) -4 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11565*c - 9*c**3 + 0*c**3 - 24379*c + 12812*c.\nAnswer: -9*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 1886 - 1914 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2025233 (base 6) to base 7\nAnswer: -553011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzqp when four letters picked without replacement from {q: 2, p: 7, z: 9}?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 50670 - 50670.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -940, -3, 3.\nAnswer: -940, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90212 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 776 = -6*r + j, j + 1288 = -5*r. Does 5 divide r\/(-9) + (-2)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -7*m + 10. What is the remainder when m\/(-5) - -26*(-42)\/(-30) is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w + 12 = -3*r, 0 = -w - 4*r + 3. Suppose w = 12*s - 11*s. What is the derivative of 49*n**3 + 8 - 27*n**3 - 28*n**s wrt n?\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12439, -24903, -37367, -49831?\n\"Answer: -12464*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1533892.3 rounded to the nearest 10000?\nAnswer: -1530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -223054 from -263953354.\nAnswer: -263730300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 5*u**4\/4 + 2*u**3 + 6*u + 153. Let w = 4 + 6. Suppose -5*a = -w*a - 30. Let n(l) = -l**3 - l**2 - 1. What is a*n(x) - f(x)?\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203188 and 16116.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 17*y + 1710. Let c be k(-102). Let h(m) = m**3 + 24*m**2 + 4*m + 63. Determine h(c).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 - 7*o**4 - o + 4 - 3 wrt o.\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84504 divided by -42252.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnhqhlyy. Give prob of picking 1 l, 1 n, 1 b, and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 3 = -6*i. Let d = -221 - -220.29. Let q = d - -0.31. What is the closest to q in 2, -2\/23, i?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 3.2?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44400 by 20.\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*g = -189*g + 30 + 418 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72.999957 + -73. What is a rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19179621?\nAnswer: 3, 17, 67, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 + 72.7. Let k = -82.3 - p. Let l = k + 83. Is -17\/5 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106478 to the power of 1\/2, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (46\/1)\/(-2). Let h be r\/(-15)*-3*1. Suppose -2*x + 28 = 4*m + 2*x, -3*m + 27 = 5*x. Solve m*i = 5*i - h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 9*j**2 - 9*j + 2. Let d be t(-8). Solve -4*n - 13 + 5 = -r, 5*n + d = -r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-1 + 1 - (-21 + 42) - 33).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/3, -2\/3649, 446, -1?\nAnswer: -2\/3649","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7\/6)\/s)\/(s\/(s\/s**(-29)*s)) assuming s is positive.\nAnswer: s**(167\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 9. Let p be u(7). Let c be p\/7 + (-2)\/7. Suppose 0 = 3*a - c*a - 3*g - 15, -3*a = g - 15. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.026, -3, 2, -18\/7, 1.58.\nAnswer: -3, -18\/7, -0.026, 1.58, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-198)\/(-22)*164\/6273\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + 4*f - 5*f)*(3312 - 3312 - 40*f**2) to z*f**3 + a*f**2 + u + j*f and give z.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2 + (-1 + 5 + 0)*(-1 - 4 + 1))*(-s + 1 - 1)*((2 - 1 + 0)*(2*s - 2*s + 3*s) - 2*s + 2*s - 2*s + 56*s - 31*s - 30*s)*(3*s + s - 3*s).\nAnswer: -68*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/20)\/((-1)\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7 = 3*i, -5*i - 5*n = -4*n + 4. What is the remainder when (i\/2)\/(6\/(-168)) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4060726.\nAnswer: 2, 2030363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(50)\/(sqrt(30)\/sqrt(3)) + sqrt(5) + (sqrt(30)\/sqrt(6) - sqrt(5))*-3))**2.\nAnswer: 64*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420 and 2576889?\nAnswer: 51537780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 9 - 3 - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2 (c) 2235\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -83, -156, -221, -278, -327?\n\"Answer: 4*c**2 - 85*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136 + -134. Solve -7 = -d*j - 0*c - 5*c, 0 = j - 2*c + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 171 + 185 = 0. Is (z - (1 - 4)) + 220 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 21716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3848684806 to the nearest integer?\nAnswer: 62038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.745 + 5.885. Let p = 634507 + -634500.36599. Let l = p - h. Round l to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 3:55 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82635 - -13881785\/168. Let b = -41\/21 - i. What is the common denominator of 17\/(-12)*(-16)\/(-1) and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 2*n - 5. Let p(c) = -c**2 - c + 7. Let f(z) = -6*p(z) - 5*s(z). Does 50 divide f(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51037004?\nAnswer: 2, 12759251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 17, -2\/7, 1\/11, -10, -3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1115745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 2d843?\nAnswer: 2d84a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225377633?\nAnswer: 13, 3041, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5. Suppose 5*b + 0*d - 4*d - 32 = o, 2*b + 3*d + 1 = 0. List the prime factors of b\/4 + 23 + -2.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -135*b**3 + 21*b**2 + 59*b + 74. Is l(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1960642 is divided by 178234?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/23*60\/(-216)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) 2 (b) -2\/13 (c) 0 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 10:17 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.56 - 1.26. Let w be (1\/6 + 0)*-8. What is the third biggest value in -2\/11, y, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -9. Suppose -1 = -t*d - 21, 0 = 4*f + 5*d - 7. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*s - 42*s - 38 + 103. Suppose 0*o - 3*o = -3. Sort s, -1, 6, o in descending order.\nAnswer: 6, o, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p. Let d(i) be the second derivative of -i**3\/6 + 8*i. Give h(d(r)).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(68) + (sqrt(68) - -1*(sqrt(68)*-2 + sqrt(68))) - 2*(sqrt(68) + (sqrt(68) - sqrt(68)*1)))\/(5*(-1*sqrt(24))\/sqrt(6)))**2.\nAnswer: 117\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 6:58 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229201*0.3.\nAnswer: 68760.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 3*p + 15*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**2 - 10284*q - 30867. Determine g(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 21 (b) -0.4 (c) -5 (d) -1\/10 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -18.05. Let l(o) = o**2 + 6*o + 1. Let k be l(-5). What is the nearest to 2\/7 in g, k, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240100 rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t = -9. Let l be (-2 + -1)\/(t\/105). Let h(y) = -23959*y - 47903. Let a be h(-2). What is the greatest common factor of a and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 5) + (-4 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/12)\/(4\/(-18)). Let x = -22 - -17. Which is the third smallest value? (a) d (b) x (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccbwwp. Give prob of sequence ww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9273 is divided by 442.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7, 0.2, 3, -0.4, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1794*g = -3*f + 1792*g - 1, 2*g - 1 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5172*i - 5147*i - 17921 + 17921.\nAnswer: 25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 2*m + 3*d + 1, -d + 3 = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -5. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 3:10 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(17325\/(-22275)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0 = 3. Let s be (v + 2 + -1)*1. Is ((-1)\/(2\/(-212)))\/s 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 1:48 AM and 1:17 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-183 - 10 - 71)*((-2*i + 3*i + i)*(-3 - 1 + 1) + 4*i - 6*i + 0*i) to m*i + a and give m.\nAnswer: 2112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjj when three letters picked without replacement from {j: 7, m: 12}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 390 = -2*w, 0 = -2*x + 3*x - w - 98. Suppose -5*y - 94 = -2*l, -5*y - l + 2*l - x = 0. Suppose 4*g + 0*g + 80 = 0. Are y and g nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 163600?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1711676 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015848695.40866 + 0.3?\nAnswer: 1015848695.70866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57530 or 57531?\nAnswer: 57531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/6 and -25\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 7*i**2 - 9*i. Let z be t(8). Is 2 - 1 - (z - -1 - 35721) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*n**2 - 20*n**2 - 9*n - 18*n**2 to j*n**2 + m + g*n and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 715\/77 - 8\/28. Solve 0 = 4*n - i*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 + -43. Let k be 10\/j - 540579\/(-9). Suppose 0 = -12*w + 1153265 - k. What is w rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 28 = 5*l, 0 = 3*l - 4*l + 5*g + 10. Suppose 2217 = -l*s + 4*s. Is s\/(-7) - 4\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85350.\nAnswer: 2, 3, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 47*l - 3. Is w(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 9*k**2 + 19*k + 35. Let l be c(11). Factor 291*r**4 + 10*r**2 + 45*r**l - 286*r**4 - 35*r**3 - 25*r.\nAnswer: 5*r*(r - 5)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*u = 636 + 354 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b954a4 - 15?\nAnswer: b9548d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -7 - (-132 - 5). Let y = t - -17. What are the prime factors of y?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, and 1 c when three letters picked without replacement from ccbbwbbcbccccbc.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22968 = 1446*k - 20180 + 86929 + 10057 for k.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 13 + -1 + (-2 - -8) + -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 850340377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-2)\/(-2)*3. Does 8 divide (-2 + 131)\/3 + q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4983 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 5880 = -5*g. Suppose 5*p + 165 = 4*p. Let c = p + g. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(12\/72)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 11:39 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -5, -262, -1, -7, 2, 0 in decreasing order.\nAnswer: 2, 0, -1, -5, -7, -78, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/4 - 525*i\/4 - 387.\nAnswer: -3*(i + 3)*(i + 172)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.8? (a) -3 (b) 4 (c) -2\/5 (d) -7 (e) -1.278\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15768837?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 33. Suppose i + 2 = y. Let g be 95\/(-30) - i - 3\/(-18). Sort 34, g, 1.\nAnswer: g, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -138*j - 2. Let z(n) = 414*n + 5. Let a(m) = 8*l(m) + 3*z(m). Let r(t) = -t - 23 - 26 + 49. Determine r(a(g)).\nAnswer: -138*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 - 83*n**2 - 10*n - 118. Is l(43) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 34*a - 37*a**4 - 2*a**3 - 41*a**4 + 30*a + 74*a**4 + 25*a**2 as d*a**4 + p*a**3 + k*a + j + g*a**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9949861163 minus -1?\nAnswer: -9949861162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3725118 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9\/2, 2\/19, 0.422?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30264 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770954.\nAnswer: 2, 269, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2894 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 502 = 3*t - 5*t, 0 = o - 5*t - 150. Calculate the remainder when o is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -64, 2, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15 * 0.6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/11)*s)\/s*s*s\/s**(3\/11))\/(s**(-3))**(-42) assuming s is positive.\nAnswer: s**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.23 - 0.33. What is the third biggest value in -0.2, i, -2\/5, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**2 + 3. Let t(g) = -4*g**2 - 2. Let r(x) = 2*n(x) + 3*t(x). Let y(c) = 4*c**2. Calculate y(r(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**4\/12 - 2*a**3\/9 + 7*a**2\/6 - 4*a\/3 - 3. Factor f(m).\nAnswer: -(m - 1)**2*(m + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 4*a + 6, 0 = 2*a + 2200*q - 2199*q + 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -19.32. Let o = -0.02 + m. Sort 4, o, -0.1 in decreasing order.\nAnswer: 4, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 - 6)\/(-8))\/(-6 - 620\/(-104)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - 383?\nAnswer: -382.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*w - 209 = -202, 10 = u - w. Solve 17 - 39 = -u*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434145?\nAnswer: 3, 5, 103, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 1:33 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i. Suppose i = 2*u + t - 4*t - 13, 2*u = -3*t + 19. Solve 4*y + 0 - u = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 3*f + 13. Let b be c(6). Let j(x) = 9*x**2 + 5*x + 8. Is j(b) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2313 - 10221?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 8:41 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10212 - 2001?\nAnswer: -12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12371?\nAnswer: 89, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 439996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**2 - 23*j - 15. Let h be x(-6). Suppose 69 - 393 = -2*u. Let y = h + u. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 57\/5 - (-3)\/5. Suppose 5*d - 67 = -a. Let i = -9 + d. Let c(w) = -w**3 + 3*w**2 - 2. What is c(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -4, 2 in increasing order.\nAnswer: -6, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 - 0.5. Let y = 4 + -3. Which is greater: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 74222 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 101767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10121100 (base 3) in base 11?\nAnswer: 1a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200138312.\nAnswer: 2, 11, 367, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9*(-16535)\/(-3307)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5)*(3 - 3 + 17*g).\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18731 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 times -5\nAnswer: 11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 5*a = -24698 - 9557. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(3\/16)*z*z*z*z*z*z)\/z*z*z**(-7\/8) assuming z is positive.\nAnswer: z**(101\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 + 275 + 273 - 5*v**2 - 548.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19212 + -19211.82016. Let g = 176.174 - 176. Let a = q - g. Round a to 4 decimal places.\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1225*x**2 - 2*x - 86 wrt x?\nAnswer: -2450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 50.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -24*(0 - (-4)\/(-8)). Let x(f) = 8*f - 38. Let v be x(7). What is the greatest common factor of v and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 493297732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83 - (2 + -4)) + 3 + (7 - (7 - -12)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.934344 to 3 decimal places.\nAnswer: 0.934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 6490*d - 12381*d - 1243*d**3 + 5891*d.\nAnswer: -1243*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - l - 6. Let u be q(-3). Suppose -u*w = -7*w. Suppose -y - 4*g + 22 = w, -4*y - 4*g = -34 - 6. Solve y - 14 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196 - 196 + 96*p**2 - 7*p + 392.\nAnswer: 96*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 75*n + 78*n = 1, -4*n + 6 = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*k - 8, 2*k - 8 = f - 2*f. Let q(j) be the first derivative of -j**2 + 4*j + 1. Let t be q(f). Solve -5*o = a - 26, t = -4*a + 4*o - 7 - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 4*u - 4*v - 15, -3*u + 13 = v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 11*j**2 + 93*j + 3795. Is q(-64) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3150001 (base 8) to base 13.\nAnswer: -23526b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.9 + 3.9. What is the nearest to 2\/7 in -1\/10, 2, h?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 36 = -5*p - 37, 2*j + 4 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -23*v**2 + 3*v - 3. Suppose 6*g + 9 = 3*g. Let i(z) = 300*z**2 - 40*z + 40. Let f(l) = g*i(l) - 40*m(l). Let b(y) = y**2. Determine b(f(x)).\nAnswer: 400*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 = -h. Suppose -5*w + 0 - 5 = -4*d, h = -4*d + 3*w. Let a be ((-2)\/d)\/((-1)\/5). Is a less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**3 + 1046 + 3*i**2 + 48*i - 4*i**2 - 1047 in the form u*i**3 + q + z*i + a*i**2 and give z.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100100 - -101000001001?\nAnswer: 10100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 5511440400?\nAnswer: -5511440402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from dhbta?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.9 + -134.9. Let q = l + 124.5. Let j be (-4)\/(-18)*(2 + -8). What is the fourth smallest value in q, -3\/8, -1\/12, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6361 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - -66?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.137, 52, -1, 249, 0?\nAnswer: -0.137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b75 + 8?\nAnswer: b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 + 3. Suppose -2*t + 3 = t. Let g(m) = -t - 11*m - m**2 + 11*m. Let j(b) = 3*g(b) + p(b). Let i(f) = 4*f. Give j(i(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 + (-19 - 2 - (339 - 369))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(22)\/(sqrt(2) - sqrt(10)\/sqrt(5)*6) - (sqrt(11) + -1 + -1 + 0)**2).\nAnswer: -57*sqrt(11)\/5 + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 0. Suppose -2 = -3*f + g. Solve -k - 1 = r + 3*r, -f*k - 10 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 18618386*p - 18618384.\nAnswer: -2*(p - 9309192)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -2. Let i = 1.7 + l. Let p = -0.2649 + 1.3649. Which is the second biggest value? (a) 0.5 (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/6)*g)\/g*g**(1\/12)\/g assuming g is positive.\nAnswer: g**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5291 is divided by 264?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*c*h**4 - 7*c*h**2 + c*h + c - 1508*h**4 - 11*h wrt h.\nAnswer: -288*c*h - 36192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -151077 plus -1416.8?\nAnswer: -152493.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 105143620 (base 7) in base 6?\nAnswer: 344432414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*t - 15*t - 13*t)*(t - 3*t + 4*t) - 33*t**2 + 12*t**2 - 19*t + 22*t**2 + 2 as v + b*t + h*t**2 and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 5*u - 3. Let t be g(4). Let i be (9 - t)\/1 - -2. Let k = i - 6. Calculate the highest common divisor of k and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.759028 to one dp.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -139, -504, -1123, -2008, -3171?\n\"Answer: -2*x**3 - 115*x**2 - 6*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 8*d**2 + 8*d + 7. Let k be x(-7). Suppose -4*q + 18 - 26 = k. What is the fourth biggest value in 2\/3, q, 2, 15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14165 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 15*g - 2. Let l be h(-15). Which is the nearest to 1\/3? (a) l (b) -3\/14 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1830*x + 1813*x = -2142. Let c(r) = 3*r + 4. Let s be c(8). Suppose -s = -m - m. What is the greatest common factor of x and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -178*l - 223. Let z be 30\/(-40) + ((-300)\/16)\/3. What is the thousands digit of q(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 1109291?\nAnswer: -1109291.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4, 13, 5, -14, 3 in descending order.\nAnswer: 13, 5, 4, 3, -14, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 324343144102?\nAnswer: 324343144103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 3. Let k be z(-3). Let t = -6 + 10. Solve -2*s = -k*s + t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229090.\nAnswer: 2, 5, 31, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373441009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4019262*o**5\/5 + 6318772*o**4 + 84841168*o**3\/5 + 2282400*o**2 + 104480*o + 1600 = 0. Calculate o.\nAnswer: -2, -2\/39, -10\/227, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - (sqrt(32) + (sqrt(192) + sqrt(192)*-4)\/sqrt(6))**2) + sqrt(162) + -3 + sqrt(2) + -1.\nAnswer: -132 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -4*j - 186. Let f = j + 97. Let r = f - -109. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26968274*g**5 + 517471*g wrt g?\nAnswer: -539365480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.439 - 3.239. Let o = -0.1 + 0.12. Which is the closest to 2\/3? (a) o (b) -0.2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6228300 is divided by 1041.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 8872\/(-14)) + (-2)\/(-7). Let w = f - 328. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddln. What is prob of picking 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -23. Suppose -6*w = p - 3*w, -3*p = -3*w. Let v = h + p. Solve -3*t - 3*b + 17 = 2, t + v = b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 147*l**2 - 255*l - 2814. What is z(-72)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, z: 3}. Give prob of picking 1 l and 2 z.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/3*1\/(-3))\/(10560\/(-1152)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -52*1.5\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 5190*l**2 - 15505*l - 20700.\nAnswer: -5*(l - 1035)*(l - 4)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 a, and 1 y when three letters picked without replacement from {f: 1, a: 1, o: 1, j: 1, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/110*(-3)\/(-6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2 - ((-10)\/(-5))\/(-4)*2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + r - 49 = -42, 3*p - 3*r - 6 = 0. Suppose -z = -5*z - 3*k + 42565, -p*k - 53186 = -5*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/91 and -19\/52129.\nAnswer: 677677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 1. Let z(h) = -l*h**2 + 2*h**2 + h**2. Let o(q) = 0*q + 8*q - 4*q. Give z(o(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 40*l**2 - 29*l + 391. Give a(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 19*n - 1. Let b be z(1). Suppose -4*u - 51 + 123 = 0. Suppose 4*c - 25 = -c. Solve 0 = 3*i + 4*t - t - b, -c*t + u = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -180 and -4.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r - 1. Let k(c) = -c**2 - 9*c - 15. Let i be (-10 + 9)*6\/1. Let z be k(i). Let h(f) = -z + 7 - f - 4. Calculate -6*h(o) + n(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 5. Let k(x) = -x + 8. Let w be k(6). Let z be y(w). Solve -z*b = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-6)\/(-9))\/((-3)\/9). Suppose -f - n + 10 = 0, -3*f + 17 = h*n - 11. What is the least common multiple of f and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + h + 13, -7*c + 2*c - 2*h + 18 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 157080 and 714?\nAnswer: 157080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29092796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 528932532?\nAnswer: 2644662660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -14. Let l be (-9)\/(-6)*10\/15. Let o(y) = 11 - 3*y - 4 + 5*y + 5. Let w(f) = -1. Give b*w(t) + l*o(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/7, 5, 0.2, -3\/106?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(-4*q - 4*q + 4*q) in the form l + o*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 749890 > 749958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101100 + -1?\nAnswer: -11101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = 9*h + 85 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/15))**(-13))**37)**(1\/3) assuming g is positive.\nAnswer: g**(-481\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - 129*n**3 - 162978*n**2 - 650332*n - 649800.\nAnswer: (n - 475)*(n + 2)**2*(n + 342)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 1 - 1)*(-71 + 38 - 63)*(-1 + 5 - 3).\nAnswer: 96*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, t: 1, w: 5, j: 8}. What is prob of sequence jtwj?\nAnswer: 35\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-7 - -9)) + 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzrvnr. Give prob of picking 2 z and 1 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44459.08nm to millimeters.\nAnswer: 0.04445908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87413704 and 174827408.\nAnswer: 174827408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 0)\/2*1. Let a be (l\/5)\/((-6)\/15). Suppose 5*w + 2 = 4*s, 0 = 5*w + s - 0*s - 13. Are a and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2711*u + 2730*u + 0 + 0.\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2673))\/sqrt(3) + -3 + 3*2*((sqrt(66)\/sqrt(6) - sqrt(11)) + -1).\nAnswer: -9 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 5. Suppose q = -p + 3*q - 1, q = o*p - 3. Let k be (-3)\/(p + 7\/(-4)). Solve -k = -z - 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 8*t**2 + 2*t - 5. Give c(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31\/3 - 18\/(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -372102, -744198, -1116316, -1488468, -1860666?\n\"Answer: -2*w**3 + w**2 - 372085*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/6)\/(18\/8). Let w be -2 + 77\/49 + 0. What is the closest to w in 5, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1464132, 2928271, 4392410, 5856549, 7320688?\n\"Answer: 1464139*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u**5\/5 + 2762*u**4\/5 - 62032*u**3\/5 + 55208*u**2 + 68160*u = 0. Calculate u.\nAnswer: -1704\/17, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021955553 rounded to four decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00572542 rounded to 4 decimal places?\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4615 divided by -65.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 470? (a) 0 (b) 5 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*h + 96*h = -6. What is the remainder when 4 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 14454.91ml?\nAnswer: 14.45491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {m: 2, n: 1, f: 1, d: 1, y: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29, 38, 89, 182, 317, 494?\n\"Answer: 21*j**2 - 54*j + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/2)\/(-4)*-1. Let a = 4 + 21. Let v be a\/(-9) - (-6)\/2. What is the closest to v in 2, i, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-2 + 4)*-1. Let t be (-6 - l\/2) + 0. Let h = 0.02 + 0.08. Which is the biggest value? (a) t (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -83*v**2. Let o(s) = -2*s**2. Calculate r(o(u)).\nAnswer: -332*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*z**2 + 65*z**3 - 11*z**2 - 10*z**2.\nAnswer: 65*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o = -16*o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160478170 to the power of 1\/3, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 12870 and -11.\nAnswer: 12859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 0, -964 in ascending order.\nAnswer: -964, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 313 - 445. What is the units digit of ((-1)\/3)\/(4\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x. Let w(b) = 3*b**2 + 2*b - 1. Let v be w(1). Let q = 6 - v. Let k(c) = 3*c - q*c + 2*c. Calculate u(k(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 5:57 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.3454 minus 0.5?\nAnswer: 13.8454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*sqrt(7)*1 + (2*(1*sqrt(7) + sqrt(7)))**2 + 0.\nAnswer: -2*sqrt(7) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-11)\/44*14. Let a(q) = q**3 - 7*q**2 + 6*q - 35. Give a(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -4*f**3\/3 + 2*f. Let n(p) = -p**2. Give x(n(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h. Let v(r) = 2*r**2 + 2*r**2 - r**2. Determine v(u(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 - 107. Is k at most -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 1, 28, 69, 124?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y, -15 = -3*g + y - 4*y. Let q = 43 + -26. Suppose p - q = 4*x, -g*p - 3*x = 2*x - 185. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3 - w - 2 + 7*w. Suppose 5*u - 28 = -4*z, 5*u - 26 = -5*z + 2*z. Does 12 divide d(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54920 - 39079. Does 31 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 30 + 63 + (-5 + 2 + 1)*(-26 + 2 - 31))*(3 - 3*z**3 - 3).\nAnswer: -609*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Let c(u) = -u**3 + 6*u - 3. Let v be c(-3). Solve 5*g + v = l*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*s - 8*v = -124*s + 6, -5*s + 11 = -v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (118\/6 - 0) + 4\/12. Calculate the greatest common divisor of 25 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeddz. Give prob of picking 2 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00778 rounded to four decimal places?\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 9:08 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -4*x**7\/105 + 2*x**3\/3 + 8*x**2. Differentiate z(s) with respect to s.\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8343950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 325458 (base 10) in base 7?\nAnswer: 2523600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -92217, -184434, -276663, -368904, -461157, -553422?\n\"Answer: -6*q**2 - 92199*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + x - 4 = 0, -5*b - 4 + 13 = 4*x. Sort b, -1, 5.\nAnswer: -1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (1 - (-7)\/(-1)). Let c = 3\/46 - -155\/92. Find the common denominator of (-789)\/18 - 2\/j and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/6 - (-1)\/(-3). Let d be 1*(3\/c)\/1. Is 20 a factor of 27 + 2 + 2\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b**3 + 13*b**2 + 13*b. Let j(l) be the first derivative of -3*l**4\/4 - 2*l**3 - 3*l**2 - 2. What is -13*j(q) - 6*w(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/11 (b) -0.5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.6 - -4.6. Let d = -26 - -29. Which is the third biggest value? (a) -0.3 (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2994*w**2. Let q(a) = 3*a**2. Calculate s(q(x)).\nAnswer: -26946*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*c = -30. Let a(v) = v**2 + 6*v + 5. Let b be a(c). Solve 5*p + b = -10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.88 - 0.08. Let n = -35.33 + 33.03. Let m = n + q. Sort 1, m, -0.04, 5 in decreasing order.\nAnswer: 5, 1, -0.04, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2 + z + 2. Let b(x) = -1267*x**3 + 3*x**2 + 3*x + 6. Determine 2*b(c) - 6*n(c).\nAnswer: -2528*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 4 + 4)*(0 - 1 + 0) - 13035 - 248*h + 13035.\nAnswer: -249*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1159, -2441, -3877, -5545, -7523, -9889, -12721?\nAnswer: -16097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**3\/2 - 2*d**2 - d. Let k(b) = -b + 8. Let i be k(6). Let w(u) = 4 + 5 - 5*u - i*u. What is 9*v(a) + 4*w(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11733, 22541, 33349, 44157, 54965?\n\"Answer: 10808*w + 925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 28. Let c = d + -13. Let b(p) = -7*p**2 + 9*p**c + 9*p**2. Let s(v) = -v. Calculate s(b(a)).\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31624*y - 25122 = -31306*y for y.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = 4*u - 12, 0 = -4*i - 20. Suppose 4*z = -k + 672, 4*k = -z - u*k + 183. List the prime factors of z.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 6:26 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)*2)\/(sqrt(27) - sqrt(675)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.4 - -142.6. Let a = -171.9 + v. Let n = a - -10. What is n rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -40. Let f = 6 + 115. What is the greatest common factor of s and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 541288, 2165119, 4871510, 8660467, 13531996, 19486103, 26522794?\n\"Answer: q**3 + 541274*q**2 + 2*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -0.5 (c) -0.1 (d) -53 (e) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2*w + w)*(5 - w - 5)*(-3 + 1 - 2)*(7 + 10 + 1).\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24664264 divided by -284.\nAnswer: -86846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*d + 19 + 21, 0 = 2*d + 5*f - 38. Suppose 11*p = d*p - 8. Let w be (-2)\/(p\/1)*-1. What is the second biggest value in w, 2\/11, 1\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20445, -1, -5, 2, 8, -3, 5 in decreasing order.\nAnswer: 20445, 8, 5, 2, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1903370*x**2 - 4*x - 24267749?\nAnswer: 3806740*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - h + 3. Let x be u(9). Let f = x - 63. What is the lowest common multiple of f and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 322 (base 12) to base 2\nAnswer: 111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5 times -7.8229?\nAnswer: -50.84885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121894 divided by -60?\nAnswer: 353649\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1, -61, -109, -139, -145, -121, -61?\n\"Answer: m**3 - 67*m + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 958396447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -1. Let l(q) = 40*q**3 - 5*q**2 + 45*q - 16. Let p(u) = 9*u**3 - u**2 + 10*u - 4. Let x(a) = 2*l(a) - 9*p(a). What is 3*g(m) + x(m)?\nAnswer: -m**3 - m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 12*n**2 - 8*n + 36. Calculate the remainder when 138 is divided by x(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**6\/720 + 11*a**5\/120 + 2*a**4 + 64*a**3\/9 + 5440*a**2. Factor u(f).\nAnswer: (f + 1)*(f + 16)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 3. Let t be x(-5). Let p(u) = -u**2 + 3*u + 1. Let g be p(4). Sort g, t, -1 in increasing order.\nAnswer: g, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*f - 931 - 10381 = 479*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4118831176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190167117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = t - 12. Let b be 3*(-2)\/(-3) - 6. Let j = b - -7. What is the lowest common multiple of j and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**7\/840 + r**6\/180 - r**5\/60 + 7*r**3\/6 + 4*r**2. Let x(w) be the first derivative of k(w). Let m be 5\/2 - 1\/2. Give x(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**3 + 6*l + 3*l**2 - l + 33*l**4 - 2*l**3 + 11 - 34*l**4 in the form c*l**3 + m*l + k + x*l**4 + y*l**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -532275796 divided by -4.\nAnswer: 133068949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -101*d - 19. Let a(l) = 44*l + 10. Let b(u) = -7*a(u) - 3*m(u). Give b(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 2*n**3 + 10*n**2 - 18*n**2 + 8*n**4 - 4*n**4 + 47*n**2 to p + l*n**3 + u*n**4 + d*n**2 + c*n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from eeebfteje.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -72*r**2 - 2. Let b(c) = -17*c + 12*c + 6*c. What is b(q(d))?\nAnswer: -72*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8225 and 225225?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-168)\/(-40))\/(2\/30). Suppose 12*k - 13*k = -o. Round k to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3343, 3259, 3039, 2617, 1927, 903, -521?\nAnswer: -2411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o + 850. Let t(x) = -11*x - 1704. What is -13*k(v) - 6*t(v)?\nAnswer: v - 826","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l + 2. Let g = -18 + 10. Let h = g + 12. Let c(n) = 4*n - n + h*n - 4 + 4*n. Give -4*c(d) - 7*t(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -8842.91 to the nearest ten.\nAnswer: -8840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1097 = -5*b - 1102, -549 = -s + b. Let t = s + 1897. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 4828?\nAnswer: 4833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 8) to base 16.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**6*f + 13*c**3 - 8*c**2 + 9*c*f wrt c?\nAnswer: 120*c**3*f + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -27*b + 216, -9*b + 2*d + 17 = -4*b. Let i(r) = -5*r**3 + 4*r**2 - 2*r. Let m(q) = 4*q**3 - 4*q**2 + 2*q. Give b*m(u) + 6*i(u).\nAnswer: -2*u**3 - 4*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853 + 11211 = -416*l for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayy when three letters picked without replacement from hcyyaacchahhay?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r + 12*r = -900. Suppose 3*i - 8 = 1. Suppose i*w + h + 3 = 0, -3*w = -0*w + 5*h + 3. Put 3, w, r in increasing order.\nAnswer: w, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*y**2 - 1353 + 1353 as k + w*y**2 + o*y and give w.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 91\/4 of a litre?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 292*l + 1. Let w(y) = -y - 3. Let i(u) = -2*u - 8. Let d(t) = -3*i(t) + 8*w(t). Calculate d(n(f)).\nAnswer: -584*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -313 - -4767?\nAnswer: 4454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 118 = 3*p - 10*q, 71 = p - 5*q. Suppose 15*i - p*i = -124. Solve -7\/4*n**i + 9\/2*n**3 + 2*n + 1\/4*n**5 + 0 - 5*n**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 - 3*r**4 - r**4 + (r**4 + 4*r**3 - 4*r**3)*((4 + 1 - 3)*(3 - 3 + 2) - 4 - 1 + 3).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**3 + 4*v**2. Let q be ((5 - 1)*1)\/(-1). Let x(a) = -11*a**3 + 7*a**2. Let k = 176 - 169. What is k*y(o) + q*x(o)?\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13962 - -18117.8. Let q = -3694 + v. What is q rounded to the nearest ten?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5)*(4 + -1). Let i(n) = -n + 7. Let o(u) = 2*u - 13. Let l(z) = -5*i(z) - 3*o(z). Let w be l(6). Is m greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.94?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/391 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 + 87*d**3 + 183*d**2 + 93*d.\nAnswer: -3*d*(d - 31)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z + 8. Calculate the remainder when 385 is divided by o(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-14))\/(4\/(-8))*(-35)\/16\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 + 3*s**3 - 2*s**3 + (5*s**2 - 2*s**2 - 4*s**2)*(-2*s + s + 0*s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 11:22 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50\/60*(-43 - -37). Which is the second biggest value? (a) -4\/9 (b) l (c) -280\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**6\/120 + h**5\/12 + h**4\/12 - 3*h**3 + 5*h**2 - 72*h. Calculate l(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150.21 + -95674.\nAnswer: -95824.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 2. Let j(c) = -c**3 - 2*c**2 - 2*c - 1. Let n be j(-2). Suppose 1 + n = -2*l. What is h(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, p: 11}. Give prob of sequence yppp.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 101*q + 57. Let z be a(-51). Solve 3*y + 2*v = z*y - 3, -5*y + 5 = -2*v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170 + 269. What is the remainder when d is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*k**2 + 5*k**2 + 114*k**2 + 21*k**2)*(0*k**2 + 7*k**2 + 0*k**2).\nAnswer: 854*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 886 - 884. Let v be 52 - (1170\/(-378) - x\/(-21)). Calculate the greatest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ded when three letters picked without replacement from {x: 1, d: 7, e: 5}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.02576.\nAnswer: 0.005152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-11) - ((-91440)\/495)\/16 - (5 - 86).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, -1, 8, 3 in decreasing order.\nAnswer: 14, 8, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 7*l + 8. Let w(t) = 10*t**2 + 9575*t + 4550620. Let b(g) = w(g) - 5*z(g). Factor b(r).\nAnswer: 5*(r + 954)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418*d**3 + 205*d**3 + 212*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/30*-3*2 - 4. Let f = -0.63 - -3.63. Which is the biggest value? (a) f (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3910, -0.3, -5, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/3)\/12)\/(4\/(-60))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.99 - 3.2. Let c = -0.2091 - i. Round c to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.01 - 6.11. What is the second smallest value in -4\/9, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374867914 to the power of 1\/2, to the nearest integer?\nAnswer: 37079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 5, 2.23, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1221690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 6*n - t - 377, -2*t = -4*n + 298. Let w = n - 32. Calculate the highest common divisor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19057, -38124, -57191, -76258?\nAnswer: -95325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 16*j**2 + 3*j - 14. Is n(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*o**4 + 4542832*o**2 + 98977*o + 33.\nAnswer: 60*o**2 + 9085664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-33)\/(-5))\/((-7)\/(-35)). Let x = r - -1. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-4)\/(-4))*(-12)\/2*(-80840)\/5160?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3746210 and 1040?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*q - q + 4*q + 2 + (-1 - 3 + 2)*((2 + 0 - 4)*(-q + q - q) + 4 - 4 - 7*q).\nAnswer: 5*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-66)\/14 + 16\/(-56). Let l = -1 - y. What is the third derivative of 2*q**4 - 2*q**4 + 3*q**l - 2*q**2 - q**4 wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -84553, -338503, -761753, -1354303, -2116153?\n\"Answer: -84650*c**2 + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33525954?\nAnswer: 2, 3, 7, 11, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 1251010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d + 3. Suppose -2*r - r + 1 = 4*k, -4*r + 18 = -d*k. Suppose 5 = r*t - 10. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 179 and 1830096?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 22 = 14. Calculate the lowest common multiple of 22 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**6\/30 - 9*b**5\/20 - 99*b**2\/2 - 57*b. Differentiate k(h) with respect to h.\nAnswer: 4*h**3 - 27*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -232.\nAnswer: -3\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, 6\/5, 0.5, 55, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111 + 10?\nAnswer: -1110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 5:54 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.969 - 0.031. Let s = 8 - 3. What is the second biggest value in s, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 2*z = 0. Solve -2*y + 4*y + 8 = z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780741332?\nAnswer: 2, 3, 19, 607, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 2) + 33 + -29.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/8 and -145\/125184?\nAnswer: 125184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-88))\/((-92)\/506).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -48.93?\nAnswer: 50.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/6 - (-1625)\/30. Let t = -154\/47 + 10721\/188. Let d = k - t. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbjbjbbb. What is prob of picking 2 j and 1 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.66 + 0.04. Let h = -3.699946 + m. Round h to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**4\/24 + i**3\/2 + i**2. Let k = 57 - 52. What is z(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 15 = -4*n. Suppose 5*v + n = -3*a, 3*a + 3*v + 12 = -v. Let j = -0.8 - -1. Sort -0.1, j, a in decreasing order.\nAnswer: j, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-3) + 5544\/1512 + -96?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 792 = -2*t + 29, -3*t - 3328 = -4*i. Let a = i - 26509\/32. What is the common denominator of -25\/28 and a?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2511 - 0.25. Round b to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -829\/37107 - -1\/1197. Which is smaller: -0.7 or i?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*n + 54 = 0, 2*n + 57 = 3*o - 2*n. Find the second derivative of -375*j**2 - j + 376*j**2 - 2*j**3 + o*j wrt j.\nAnswer: -12*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 63\/33 + (-29)\/(-319). Let v(w) be the third derivative of 0 + 1\/6*w**4 - 1\/60*w**5 - 9*w**k + 0*w + 4\/3*w**3. Calculate v(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*m + 309*m - 5494 = 385*m for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, v: 16}. Give prob of sequence vvv.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + sqrt(84) + (sqrt(84) - (sqrt(84) - -3*sqrt(84) - sqrt(84)))*4)\/(sqrt(12) + (sqrt(108) - -1*sqrt(108))).\nAnswer: -6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*a**4 - 23*a**4 + 4*a + 0*a**2 + 39*a**4 - 2 - a**3 - 2*a**2 to d*a**4 + h*a + n + z*a**2 + r*a**3 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 13*o + 1009. Is c(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -25*v**2 + 9*v + 27. Let n(a) = -6*a**2 + 2*a + 7. Determine -9*n(o) + 2*u(o).\nAnswer: 4*o**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 6, 12 in descending order.\nAnswer: 12, 6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o - 3. Let c(x) = 7*x - 4. Let k(l) = -l**2 + 3*l + 13. Let r be k(-3). What is r*i(t) + 4*c(t)?\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -43, -66, -89?\n\"Answer: -23*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f - f + 2*f**4 - 46*f**2 - 52*f**3 + 45*f**2 as a + k*f**2 + v*f**3 + y*f**4 + w*f and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8*((-476)\/16)\/(-7)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m + 11. Let b be d(1). Let f be (b\/(-10))\/(-3*(-6)\/(-810)). Let z(y) = 11*y + 1. Let p be z(4). What is the greatest common factor of p and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/170 and -37\/119?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2232 - -2234. Solve y*r - 6 = l - 5, -2 = 2*r - 4*l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4 - 141483*a**3 + 141477*a**2 + 141483*a - 141480 = 0.\nAnswer: -1, 1, 47160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3976 and 103376?\nAnswer: 103376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -179, 1 in decreasing order.\nAnswer: 23, 1, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(70)*3 + sqrt(70))*5*1)\/(sqrt(810)*-3*-1*-4).\nAnswer: -20*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 2, -5, 1\/11, 41\/6, -13.8?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - 429*f + 870*f + 35*f**2 - 441*f.\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from awwazztjabz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + i**2 - 4*i**2)*(-2 + 7 - 3) + 2*i - 2*i + 2*i**2 + (4*i**2 - 2*i**2 + 0*i**2)*(3 - 3 + 2) + 1494*i - 1494*i + 178*i**2.\nAnswer: 178*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -n + 49 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 376626611 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: Solve -3*s**5 + 6*s**4 + 6*s**3 - 12*s**2 - 3*s + 6 = 0 for s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 9:01 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*((-1215)\/105)\/(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = 2*c + p, -4*p - 14 = 2*c. Find the common denominator of -97\/12 and (-536)\/(-224) + c\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*z + 2, 2*d - z = -6*z + 31. Find the third derivative of -56*r**5 + 53*r**5 - 5*r**6 - 2*r**2 + d*r**6 + 13*r wrt r.\nAnswer: -240*r**3 - 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1304, 1316, 1332, 1352, 1376, 1404, 1436?\nAnswer: 1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 346 + 159. Let v = 757 - d. Suppose -3*u + 3*q = -5*u + 136, 4*u - v = 4*q. What are the prime factors of u?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 510 + -1310. Let t = 1155 + h. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2 + (1 + 2 - 2)*(-1 - 1 + 3))*(4*r**3 + 6*r**3 - 5*r**3).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8257245, 8257255, 8257265?\nAnswer: 8257275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80689188 to the power of 1\/3, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43568841?\nAnswer: 3, 17, 827, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - 3*a**3 + a**4 - 4*a**4 - 7 + 4*a**4 in the form r + o*a**4 + k*a**2 + l*a**3 + x*a and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1470, -1467, -1462, -1455, -1446?\nAnswer: -1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7 + (-6)\/21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**3\/6 + f. Let u be h(4). List the prime factors of (-41)\/u - 4\/16.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 2*a**2 + 9\/2*a**3 + 31\/6*a**4 + 0 - 33*a. What is the first derivative of c(z) wrt z?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 330*y**3 - 45*y**2 + 45*y + 45. Let z(x) = -15*x**3 + 2*x**2 - 2*x - 2. What is 2*b(w) + 45*z(w)?\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 446?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5220417 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1227312 and 454560.\nAnswer: 12273120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23\/4? (a) -45 (b) 0.03 (c) -5.2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 106 + 18*c**2 + 13*c**2 - 29*c**2 in the form y + m*c + z*c**2 and give y.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*g + 284 = 0, -5*g - 25 = -5. Suppose -5477*m + 5496*m - 2090 = 0. Calculate the smallest common multiple of m and i.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -52 + c51?\nAnswer: bdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-80)\/180 + (-88)\/(-36). Suppose 2*r - 57 = -o, -57 = -4*o + 3*o + p*r. List the prime factors of o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -23*r**5\/20 - 13*r**3\/3 + 94*r**2 - 4*r - 51. Find the first derivative of h(q) wrt q.\nAnswer: -69*q**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50860141\/16 + -3189335. Let j = h + 10582. Calculate the common denominator of 47\/4 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/(-40))\/((-1)\/14). Let w(l) = 4*l**2 - l + 20. Is w(b) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 2*i + 6*v, 43*v - 23 = -3*i + 39*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56801.2267 - 56798. Let r = q - 0.0267. Which is smaller: r or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3225133 or 0?\nAnswer: -2\/3225133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 7 (b) 2\/5 (c) 5 (d) 25 (e) 0.2 (f) -62 (g) -57\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 46*y**3 + 104*y**2 - 11*y + 6804. Let g(b) = 9*b**3 + 21*b**2 - 2*b + 1361. Let p(f) = -11*g(f) + 2*u(f). What is the derivative of p(x) wrt x?\nAnswer: -21*x**2 - 46*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1442208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5 + 7 = 5*j, 5*k + 3*j = 22. Let l(t) = t**3. Let x be l(2). Let b be (16\/15)\/(x\/(-24)) - -3. Sort k, -3, b in increasing order.\nAnswer: -3, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597162 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/5))**(5\/19)*i*i\/i**3*(i*(i\/(i\/i**(-1\/9)))\/i)\/i)**26 assuming i is positive.\nAnswer: i**(-7748\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/2, 0.004, 1\/3, -2\/17 in descending order.\nAnswer: 1\/3, 0.004, -2\/17, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 119384.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b**6 + 1041*b**5 + 2*b**4 + 5724*b**2 + b + 2?\nAnswer: -840*b**3 + 62460*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/12*15 - 20. Put v, 1, -1, -3 in ascending order.\nAnswer: v, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 115, 251, 511, 937, 1571, 2455?\nAnswer: 3631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-14)\/(-84)). Let c(t) = -t**2 - 4*t + 8. Let g be c(-4). Suppose n + g = 2*b, 18 = b + b + 4*n. Solve b = d*l - 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osi when three letters picked without replacement from iojosoosot?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -151*t - 2094. Calculate c(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 32 - 36*i)*(-i**2 + 0*i**2 + 3*i**2) + i**3 - i**3 - 3*i**3.\nAnswer: -75*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 740\/(-420) - 6\/(-14). Put -0.13, 0.022, j in ascending order.\nAnswer: j, -0.13, 0.022","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 248883208*a + 15485712806092816.\nAnswer: (a - 124441604)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/77 and -39\/8.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.33 times 985\nAnswer: 1310.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177\/413 - 3690\/(-14) is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-31 - -20)) + -30 + 30 + -80?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/9 and (-12)\/8 + 202\/(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, 19, 219, 581, 1153, 1983, 3119, 4609?\nAnswer: 6501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -17186\nAnswer: -5\/17186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17317 + 17321. Sort s, -1, 4\/13, 0.2 in ascending order.\nAnswer: -1, 0.2, 4\/13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3e2d8a (base 15) to base 13\nAnswer: -80bcab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = w - 4*a - 14, 0 = 2*a + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**25)\/(q*q\/(q\/(q\/q**(-48)))) assuming q is positive.\nAnswer: q**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/40 + 6\/(-5). Is y greater than 10\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 24*v**3 + 108356924*v**2 + 122304396998816*v - 20384069176384 = 0.\nAnswer: -2257436, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077894.\nAnswer: 2, 3, 19961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r - 3*r - 2*r + (2 - 3 + 4)*(-4*r - 4*r + 6*r).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*a - 4*d + 1, 5*a - 4*d - 10 = 0. Suppose 0 = -a*h + 19 - 3. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92887505 = 3*b + 2*m + 86512499, 299000004 = -5*b - 2*m. What is b rounded to the nearest one million?\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q**2 - 471*q**3 + 168190 - 177*q - 167938 + 190*q wrt q.\nAnswer: -2826*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by 28\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103123022 + -3?\nAnswer: -103123031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhhkhhrfkfrhtfk. What is prob of picking 1 t and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 12, 0 = -b + 4*m - 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -277baa1 - 9?\nAnswer: -277baaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 369 + -173. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 472*t**2 + 769*t - 645. Differentiate m(j) with respect to j.\nAnswer: 944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 661572 - 11?\nAnswer: 661561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k)**(-22)*(k*k**(-2))\/(k*k**7*k)*((k*k**(-1\/2))\/(k**(-1)*k))**26 assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 194 - 277 = 0. Suppose k = 4*k - j. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/15*(-5)\/(-2). Let m be ((-3773 - -2) + 1)*k. Let z = m + -407540. Round z to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 1. Let i(d) = 4*d**2 + 23*d - 3. Let s(h) = -i(h) + 3*t(h). Let f be s(-23). Let r(q) = -19*q - 3 - 18*q + 59*q - 14*q - q**2. What is r(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7359 plus 198007?\nAnswer: 190648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 38*f + 108 = -39*f, -135 = -5*u - f for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 4:38 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*d**3 + 20*d**2 + 65473*d + 73807542 wrt d.\nAnswer: -21*d**2 + 40*d + 65473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81550*f**3*u**2 + f**2*g**2*u + f*g**2 - 211*f*u**2 + 20*g**2 wrt f.\nAnswer: -489300*f*u**2 + 2*g**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7))**24 assuming n is positive.\nAnswer: n**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741711771.\nAnswer: 3, 41, 367, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 - 600\/88 - (-251)\/11 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*h + 362 - 122, r - 6*h = 20. Solve 43*m - 14 = r*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12177 is divided by 436?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-10 - -4)) + 0 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.16 + 0.06. Let c = -2 - -2. What is the nearest to p in 1\/2, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 131. Let q = 120 - a. Calculate the remainder when q is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/(((g*g*g\/(g*g\/(g*g\/(g\/(g**(-5\/9)*g))*g))*g)\/g)\/g))\/(g\/(g\/(g\/(g\/(g*g*g*g**12))))*g**(-11)\/g) assuming g is positive.\nAnswer: g**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 - 2*y**2 - y**2 - y**2 wrt y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 8238484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + ((-38)\/171 - (-1796)\/144). Let v(q) be the first derivative of 0*q**2 + 0*q**3 + b*q**4 - 27 + 3*q. Differentiate v(g) with respect to g.\nAnswer: 51*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -21*c**3 - 396*c**2 + 147*c + 1710 = 0.\nAnswer: -19, -2, 15\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 1, -9, -2 in decreasing order.\nAnswer: 4, 1, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 1\/5 (b) 2 (c) 0.194 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 366.4 + -366.6. Which is the third smallest value? (a) r (b) -4\/5 (c) 637\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155737, -155844, -155955, -156070, -156189?\nAnswer: -156312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + (1 - (3 + 3) - (-10 + (4 - 3)))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by (-2)\/4 + (-126)\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.3? (a) 5 (b) 27401 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2971 - -3251. What is the smallest common multiple of 60 and n?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9385013, 18770018, 28155017, 37540010, 46924997, 56309978, 65694953?\nAnswer: 75079922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23379839053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 - 4 = 0. Let c = 1 + g. Suppose 0 = -3*i + 4*d + 76, c*d + 31 + 21 = 2*i. Calculate the highest common divisor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.344 + 0.044. Let p = -12 - d. Put p, 4, -1 in decreasing order.\nAnswer: 4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778095 is divided by 391.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 11*d + 17. Let y(z) = -z**2 + 5*z + 8. Let x(m) = 2*s(m) - 5*y(m). What is x(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 15 + 14)*(96*f**2 + 683 - 683) to the form q*f**2 + b + k*f and give q.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1627, -3\/13, -5\/3?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4 - 137*j**3 + 1446*j**2 - 4360*j + 2304 = 0. What is j?\nAnswer: 2\/3, 4, 9, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -0.68458.\nAnswer: -0.38458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((96\/18)\/8)\/((-80)\/3840).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lheykyeyeuhkk. What is prob of sequence kk?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -3*g**4\/32 - 5*g**3\/24 - g**2\/8 - 37. Factor a(s).\nAnswer: -s*(s + 1)*(3*s + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y + 2. Let i(q) = -q**2 - 2. Let z = -3 + 2. Let v be (-1 + (3 - 2))\/z. Let u be i(v). Let j(c) = 10*c - 6. Give u*j(w) - 7*r(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857 < 2529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 24. What is the first derivative of -13*u**2 + 0*u + 2*u - h - 2*u wrt u?\nAnswer: -26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19330818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2*c**3 - 327*a**2 + a + c**3 - 5331*c**2 + 1 wrt c?\nAnswer: 6*a**2*c**2 + 3*c**2 - 10662*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 511 = -4*i - c, 3*i = 4*c + 1547. Suppose 17*g = 14*g + i. Suppose -s - 321 = -5*f, 5*f - 5*s - 154 = g. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -730.18 to the nearest 10.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 144 - (6 + 0) - (-251 - -264)\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 66*w. Let l(o) = -o**3 - 9*o**2 - 15*o + 9. Let t be l(-7). Let z be (-18)\/(-16) + (30\/t - 2). Is 8 a factor of g(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -246333025 by -43.\nAnswer: 5728675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*j + 9, 1 = -5*l + 5*j + 6. Let m be (-10)\/(-2) + 4 + -3. Let r(w) = -3*w - 2. Let b(o) = -o - 1. Let c(d) = m*r(d) - 17*b(d). What is c(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196004697337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 - -0.1. Suppose 5*t - 3*l = -23, 4*t - 4*l + 10 + 10 = 0. Let w = t + 1. Which is the nearest to 0.1? (a) 2 (b) w (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/6 + 3*f\/2 + 11\/3.\nAnswer: -(f - 11)*(f + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-651)*(-1179)\/262\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -1\/14*q**7 + 3\/5*q**5 + 0*q**6 + 1\/2*q**4 - 3\/2*q**3 + 0 - 3*q**2 + 2*q. Factor d(f).\nAnswer: -3*(f - 2)*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 4204253.\nAnswer: 42042530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 times -200?\nAnswer: -6800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-82 - -23) + 34)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 10 - 5*b**2 - 7*b**3 - 11 + 8*b**3 + b + 3*b. Give v(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19730719*a**3*i**2*m + 2*a**3*i**2 - 2*a**2*i**2*m - 2*a**2*i**2 + 60*a**2*i + a - 28*i**2*m - 4*i**2 - 7*i*m wrt a.\nAnswer: -118384314*i**2*m + 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24.68 and -1?\nAnswer: 24.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 768792937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*p - 551614, 3*p + 56346 + 633188 = 5*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3 - 2*z**2 - 1 + 7*z - 4*z + 0*z**2. Let m be r(3). Let l(q) = q**3 + 7*q**2 + 4. Calculate l(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - q - 5, 3*q - 29 = -2*b - 2*q. Let u = -27029 + 27031. Solve -6 + b = -g - y, -y = -u*g + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*k**3 + 415*k**2 - 681*k - 89919161.\nAnswer: -51*k**2 + 830*k - 681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + h = 97 + 78, 6*j - 522 = -2*h. Solve 0 = -2*n + 5*c + 3, -85*c + j*c - 13 = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 512595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, -12, -19, -28, -39?\n\"Answer: -q**2 - 2*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 143a8 (base 11) to base 12\nAnswer: b9ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g - 13. Let a be x(10). Suppose o + 0*o = a. Suppose 2*p + 5 = o*p. Calculate the highest common factor of p and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c + 1. Let q(o) = 5*o. Let g(w) = -3*m(w) - 2*q(w). Let y be g(4). Find the third derivative of 2*b**y + 0*b**2 + b**2 + 0*b**5 + 3*b**2 wrt b.\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 2*b**2 + b + 2. Let a be d(-3). Let p(v) = 4*v**2 + 23*v + 7. Is p(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*z - 315402 - 85318 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3176024692.414 and 125.\nAnswer: -3176024567.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23037*x**5 + 21938*x?\nAnswer: 460740*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, i: 9}. What is prob of picking 3 w?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 174 (c) 3577 (d) -0.2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**3\/3 - 310. Let p(a) = 288*a. Determine i(p(o)).\nAnswer: 82944*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 3*d + 2*d)*(-4*d + 2*d + 3*d) + (-5*d + 3*d + 0*d)*(-5*d + d + d + 1).\nAnswer: 7*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2*o + z = 4, 0 = 4*z + 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 230 = -70. Let z(w) = 2*w**3 - w**2 + 17. Let c be z(0). Suppose 18*l - 20 = c*l. What is the highest common factor of l and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 19. Let s = -27 + x. Let q(l) = -63*l + 3. Let c be q(s). Calculate the greatest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 2*k - 10 - 217*k**2 + 234*k**2.\nAnswer: 17*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -5\/3 (c) 4 (d) 4.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdsrsdsrrsrss. Give prob of picking 1 s and 2 d.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.46. Let s = 150 + -150.1. What is the second smallest value in -2\/7, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*s - 19 + 33 + 36 + 29 wrt s.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*o + o + 80, 5*r + 2*o = 191. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00052581 to 5 dps.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -3*u**4\/4 + u**3 + 3*u**2\/2 - 3*u + 1. Factor w(x).\nAnswer: -3*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -248971.5 times 0.03\nAnswer: -7469.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11\/5))**9*(k*k\/((k\/k**21)\/k))**(4\/23) assuming k is positive.\nAnswer: k**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -2*g - 25. Solve -4*m + 8 = -g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 89, 78, 51, 2, -75?\n\"Answer: -z**3 - 2*z**2 + 2*z + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from bttedbotogbd?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82254\/15*(-90)\/(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2))**(-49)\/(g*g**(-1\/2))**35 assuming g is positive.\nAnswer: g**(-329\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*h + 61960 = -5744. Does 78 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9909923 to the nearest integer?\nAnswer: 3148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 21813150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 947 = 5012. Let x = -11271\/14 - a. What is the common denominator of 0 + -166*2\/(-72) and x?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441266048 to the power of 1\/2, to the nearest integer?\nAnswer: 21006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 246 + -252 - (-788)\/(-3)*23*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 1. Let q(t) = 41*t - 9. What is 18*k(w) - 2*q(w)?\nAnswer: -64*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8371520 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -650\/9 (b) -225\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*n - 10. Let j(i) be the first derivative of -1 + 1\/2*i**2 + 0*i**3 + 1\/3*i**6 + 0*i**5 + 0*i + 0*i**n. Find the second derivative of j(z) wrt z.\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i**5\/5 + 54*i**4\/5 + 74*i**3\/5 - 78*i**2\/5 - 82*i\/5 + 24\/5 = 0. What is i?\nAnswer: -4, -3, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - o + 22. Let a = 7 - 1. Suppose 4*p - a = p. What is the least common multiple of p and z(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672928?\nAnswer: 2, 17, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3054, 3055, 3056?\n\"Answer: c + 3053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-14)*8\/60?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3256 + 14?\nAnswer: 3272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 64 = 24*f. Let i be (-1)\/(-10)*(2 - -2). Which is the closest to i? (a) -5 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16242 (base 8) to base 13\nAnswer: -344b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 + 135. Let a = l + -44.99. Let f = -0.16 - a. Round f to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 6*y - 7. Let h be p(2). Suppose -6*l + h = -11. Sort l, 5, 1 in decreasing order.\nAnswer: 5, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8372426 or -8372442?\nAnswer: -8372442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126 - 123. Suppose 4*u - 2 = o*u. Let 2*t - 4\/3 - 2\/3*t**u = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 320218, 637251, 954284, 1271317, 1588350?\n\"Answer: 317033*j + 3185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -43. Let w = l - -31. Let a(c) = c**3 - 5*c**2 + 4. Determine a(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4937950 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -20. Suppose j - 6*j = d*a - 10, -5*j - 2*a = 0. Let z(w) = -5*w**3 - 2*w**2 - 2*w + 1. Is z(j) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 1)\/(24\/(-32)*700\/(-21)). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/41 (b) -2 (c) 37 (d) -90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-373)\/(-7) - (-6)\/(-21). Suppose -12 = -5*x + k. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 + 1436088*g\/5 - 27284589\/5.\nAnswer: -3*(g - 478677)*(g - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692120 is divided by 1006.\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 35674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -145 * -0.94804.\nAnswer: 137.4658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 14*p**2 + 17*p + 193. Let u be o(-11). What is the greatest common factor of u and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2182, 2184, 2186, 2188, 2190, 2192?\nAnswer: 2194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 8, 39, 94, 179?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*(g\/(g\/g**(1\/30)*g))\/g*g)\/g)\/g)\/g**(-2\/87)*g\/(g*g**(-3\/22))*(((g**(1\/2)*g)\/g)\/g)\/g*g assuming g is positive.\nAnswer: g**(-12511\/9570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153642388 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 321 + -323. Let h be (121\/(-22) + 5)*q\/3. Which is the third smallest value? (a) 2 (b) h (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11878 - 8354. Let b = -2271 + p. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 4*y. Let f be g(-6). Let m(c) = -c**3 - 12*c**2 - 3*c - 20. Does 4 divide m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4602522700 rounded to the nearest 1000000?\nAnswer: 4603000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 - 94202*s**3 - 3 + 94179*s**3.\nAnswer: -23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*c + 94 = 0, -4*c + 26 = m - 15. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/55 and -42\/25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*l**2*s**2 - 2*l**2*s - 323*l**2 + 2*l*s**3 - 4137*l*s + s**3 - 691*s**2 + 2*s wrt s.\nAnswer: -20*l**2 + 12*l*s + 6*s - 1382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (682\/55 + -12)\/((108\/(-20))\/3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.7? (a) -1\/5 (b) 1 (c) -3 (d) -5\/6 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/((-13)\/(-312)). What is the highest common factor of a and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32690.\nAnswer: 2, 5, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*c + 67*c + 218*c as v + l*c and give l.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40884017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(-595))\/((-1)\/(-5))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 4:52 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 60, 142, 260, 414, 604, 830?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9.268503 minutes?\nAnswer: 556110180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*c*w*y - 13*c*w - 22*c*y + 794*c + 71*w*y - 2*w wrt w.\nAnswer: 20*c*y - 13*c + 71*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813179947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6925*h**3 - 6924*h**3 - 27*h**2 + 4*h**2.\nAnswer: h**3 - 23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-9 + 19)) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13638 is divided by 4537.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*b + 68*b - 12. Let h = 5.03 + -5.03. What is the second smallest value in -39, -0.5, b, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1229472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**5 + 11*f**3\/3 - 1. What is the third derivative of h(r) wrt r?\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 27*o**2 - 13*o + 4. Let j(g) = 12*g**2 + 6*g - 2. Determine -5*j(z) - 2*q(z).\nAnswer: -2*z**3 - 6*z**2 - 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -73478*b - 62. Let l be h(-9). Round l to the nearest 1000.\nAnswer: 661000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1839698952.\nAnswer: 2, 3, 7, 13, 842353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014946 to six decimal places.\nAnswer: 0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39665343*i**2 + 8*i - 3524625 wrt i?\nAnswer: 79330686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r = -2*u + 8, -2*r = 2*u - 4. Let q(i) = -i**2 + 3*i. Determine q(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169 - 7*r - 174 + 345 - 28*r**2.\nAnswer: -28*r**2 - 7*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -62, -93, -124, -155, -186?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-20) + (-5)\/(-2). Sort y, -5, -2 in ascending order.\nAnswer: -5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-124)\/12 + 1)*(0 + 12). Let d = h + 114. Suppose 610 = d*m - 1096. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.40018 + 23.004. Let f = 0.389 + k. Round f to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -2\/33, 0, 0.5?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394\/10 - (-4)\/(-10).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5084 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -146, -252, -372, -512, -678?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 4*z**2 + 2. Let m(d) = 4*d**3 - 27*d**2 - 7*d + 5. Let p(c) = -5*i(c) + m(c). Suppose 2*l + 12 = -0*l. Determine p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38.2 and 2.401.\nAnswer: 91.7182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p = -20*p + 399. What are the prime factors of p?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qifii. Give prob of picking 1 q, 1 i, and 1 f.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*d + 5*d**4 + d**4 - 7*d**4 - 2*d**3 + d**2 - d to u*d**3 + a*d + g*d**2 + k + p*d**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441266579.\nAnswer: 13, 4027, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 749 and 696356.\nAnswer: 4874492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 5, -6, -35, -88, -171, -290?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (130\/20)\/(78\/12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*r + 260*r + 481890 = 2*c, 5*c = 5*r + 1204755. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(171) + -4 + -5 + -1*sqrt(171))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 25, 4*r - 126 - 1441 = t. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.2037 - 0.7908. Let s = 15 + i. Round s to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 286.1 and -1.04083?\nAnswer: 287.14083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2276*b**4 + 2*b**2 + 1947 + 538*b - 2275*b**4 - 251*b wrt b.\nAnswer: 4*b**3 + 4*b + 287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -32 - -50) + (-9 - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 2, x: 5, t: 1, c: 6}. What is prob of sequence fxc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.16, -5, -0.3, 2\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - c + 132, c - 67 = -3*j + 2*j. Let o = 7 + j. Suppose -2 = i + 4*k + 6, -24 = -2*i + 2*k. Calculate the highest common factor of o and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04228426 rounded to 3 decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**7\/168 - j**6\/120 + 3*j**5\/80 + 5*j**4\/48 + j**3\/12 + 40*j - 39. Let f(k) be the first derivative of d(k). Factor f(n).\nAnswer: -n*(n - 2)*(n + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvo when three letters picked without replacement from {b: 1, v: 7, o: 2}?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1317*s**2 - 4*s - 17. What are the prime factors of f(5)?\nAnswer: 2, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ac9 - -3989?\nAnswer: 4563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*12.371\nAnswer: 1.2371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3766, 7533, 11300, 15067, 18834, 22601?\n\"Answer: 3767*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 0)*(-30 - 320*y**3 - 30 + 316*y**3) as r*y**2 + m*y**3 + h + z*y and give h.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -708, -706, -704?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41581, -41566, -41541, -41506, -41461, -41406, -41341?\n\"Answer: 5*r**2 - 41586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 5, -51, -4, 7, -5 in decreasing order.\nAnswer: 7, 5, -4, -5, -39, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, -15, -24, -35?\n\"Answer: -t**2 - 4*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Let z = -0.125 + -4.875. Let j = o + z. Sort j, 0.5, -1 in ascending order.\nAnswer: j, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-316)\/(-553)*(1\/4)\/(2\/(30\/(-15)))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -544 (base 7) in base 14?\nAnswer: -15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaa when three letters picked without replacement from qzzazzzatzzzz?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/15))\/z**(-7\/2))\/(z*z\/(z\/((z\/(z*z\/(z*z**(1\/11)*z))*z*z*z)\/z))*z*z\/z**(-1\/5)*z) assuming z is positive.\nAnswer: z**(-877\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 56771509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-2\/7))\/y)**(-13)\/(y**15\/y*y\/((y*y**(-2\/21))\/y)))**33 assuming y is positive.\nAnswer: y**(-4345\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -264484.1 rounded to the nearest one thousand?\nAnswer: -264000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3844 - -3850. Solve -f = f + 4*t - 14, 3*t = d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4d6 (base 15) to base 12\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 5.9\nAnswer: -29.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76742515\/10108 - -30369\/4. Find the common denominator of 49\/2 and g.\nAnswer: 5054","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205 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: What is 482 minutes after 5:52 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2042, -112, 8 in ascending order.\nAnswer: -112, 8, 2042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-258)\/(-9)*(-450)\/150*(-4)\/8.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r + 10. Let k(w) = -4*w - 11. Give -5*c(t) - 4*k(t).\nAnswer: t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, b: 1, k: 1, d: 1, i: 1}. Give prob of sequence bbkd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/sqrt(3) + -1 - ((sqrt(208) - sqrt(13))*5)**2) + -5)*3.\nAnswer: -8793 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1172639, 2345323, 3518009, 4690697?\n\"Answer: d**2 + 1172681*d - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 7:11 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - -30. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**5\/a*a)\/(a*a**(-2\/5)))**27 assuming a is positive.\nAnswer: a**(729\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 12241, -12\/199, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (26 - 2) + -27 + 49?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9\/5*r**2 - 3\/5*r**4 + 2\/5*r + 2*r**3 + 0 = 0. Calculate r.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*12\/15*2\/24.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 + 271*q**2 + 113207*q\/3 + 37465.\nAnswer: (q + 1)*(q + 177)*(q + 635)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*l - 33. Let n = -11 + l. Suppose 0 = -i + 5*k + 45 + n, -5*i = 3*k - 184. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9}. Give prob of sequence kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5751567 and 2673.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 52 - 428 = 0. Let u be (-790)\/o - (-2)\/16. Which is smaller: 11 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*c**3 + 77*c**3 - 40*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*6\/(-54)*(8 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 10*o + 3002. Let m(a) = -3*a - 1001. Determine 7*m(v) + 2*x(v).\nAnswer: 2*v**2 - v - 1003","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 85531 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**3 - 4*m**2 + 2*m - 1. Let p(f) = -3*f**3 - 4*f**2 + f - 1. Let u(r) = 2*g(r) - 3*p(r). What is u(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*y - 10*y - 7*y + 26 - 2*y**3 - 211 as i + f*y + c*y**2 + l*y**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 0*m**2 + 0*m**2)*(-3*m + 2*m + 3*m) + (-2*m - 2*m + 6*m + (-16*m + 6*m + 5*m)*(-4 + 0 + 2))*(-5*m**2 - 4*m**2 + 10*m**2).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 2 = t - 3*r, -16 = -4*r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2579, 1, 5, 0.2, 2 in descending order.\nAnswer: 2579, 5, 2, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*t = -23, 8*t = 9*t + 4. Let r(b) = -b**2 - 3*b + 4. Let c be r(-4). Sort m, c, 2 in decreasing order.\nAnswer: m, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**3\/3 + 19294*f**2\/3 + 7195621*f + 1957833264 = 0.\nAnswer: -537, 20368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -83*f. Let q(w) = -4*w**2. What is o(q(j))?\nAnswer: 332*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.083.\nAnswer: -0.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**6\/360 + 7*v**5\/120 + v**4\/12 - 7*v**3\/6 + v. Let q(m) be the second derivative of k(m). What is q(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 5 + (-18 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3796712 and 2176?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.15 or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673372211.\nAnswer: 23251, 28961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4192 + -67.073395\nAnswer: -4259.073395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5105104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8547 - 8545. Calculate the lowest common multiple of 538 and u.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 + 0*t**2 + 2*t**2 - 7 - 12*t + t**3 + 4*t**2. Let n be q(-5). Solve -3\/7*p**n - 12\/7 + 12\/7*p + 3\/7*p**2 = 0 for p.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 6*d + 2*d)*(2056131*d - 2056131*d + 3771*d**3) + (1 + d - 1)*(-d**3 - d**3 + 0*d**3).\nAnswer: -7544*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -96*(21\/(-6) + 4). Find the common denominator of 29\/4 and (-115)\/w - (7\/(-4))\/(-7).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -161 (c) 13\/5 (d) -1 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 0, 3, 4, 11 in descending order.\nAnswer: 36, 11, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-40)*-44*(-1 + 6). Solve -10*b + p*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.236, -0.47, -3\/5, 3, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 140*v + 276.\nAnswer: (v + 2)*(v + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48807*c*w + 23*w + 612 wrt c.\nAnswer: 48807*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 1152 + 1160 = 8*y + 2322, 0*g - 2*g - 5*y = 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 - 2*z**5)*(23 + 76 + 40).\nAnswer: -278*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -113, -142, -169, -194, -217, -238?\n\"Answer: u**2 - 32*u - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 21*g - 3*i = 4, -g + 4*i = 1. What is the closest to 3 in g, 2\/3, -0.8, 0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2742 + -2087. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10989?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-49 + 80\/2 + 2238\/250)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(6 + 1) + (4 - 0). What is the third derivative of -39*d + 39*d - 37*d**c + 26*d**2 wrt d?\nAnswer: -888*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 90.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -100101 (base 2) to base 8\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1913*o + 3*o**3 + 1913*o.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72976241 to the nearest integer?\nAnswer: 8543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 10*m**2 - 8*m + 8. Let n(f) = 13*f - 5. Determine 5*h(d) - 8*n(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/(-2*18\/(-48))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 742906, 742904, 742902, 742900?\n\"Answer: -2*i + 742908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3440)\/5760 - (0 - 6\/16)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02383732 to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -13*x**2. Calculate z(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + -1 + sqrt(304) + -1 + -5 + -3*((-1 + sqrt(304))**2 + 0).\nAnswer: -922 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 99?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18138629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -162817.4 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - -4962.\nAnswer: 4968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**3*m + 13*l**3*o**3 + 10*m*o**3 - 2*m*o + 2*o**3 wrt l?\nAnswer: 3*l**2*m + 39*l**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/((-5)\/(-15*40) - 0). Let a = t + -452. What is the highest common divisor of a and 826?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39050, -38959, -38868, -38777, -38686?\n\"Answer: 91*x - 39141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-j + j + 2*j)*(1 - 1 + 1 - 6*j) + 2*j - 2*j**2 - 2*j)*(0 - 17*j + 0) in the form b*j**2 + h*j**3 + q + x*j and give h.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732 = 76*g + 332 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 4, -140682, -251, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/3 - -2)*(-25)\/10. What is the nearest to 1\/2 in -2\/3, p, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 1235*q**2 + 2455*q + 1225.\nAnswer: 5*(q + 1)**2*(q + 245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: What is next in 6793, 6792, 6791, 6790?\nAnswer: 6789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q + 84*q + 3*q to l + p*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 136 + -131. What is the closest to 2.2 in 0.5, 2\/15, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/1049621131?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/140*(-15)\/(-27).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + h**2 + 22*h + 40. Let s be g(6). What is the third smallest value in -11\/10, 2\/7, -5, s?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -26*d**2 + 294*d - 89. What is h(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 12*k**2 + 9*k + 16. Let s = 452 - 441. Give c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36733223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31573361773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 - 88*q + 184. Calculate k(-46).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(3\/8)*x\/((x*x**0)\/x)*x*x)\/(x**(-1\/6)\/x**(-2)))**(2\/9))**(-18\/13) assuming x is positive.\nAnswer: x**(-37\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 18*g + 20*g - 5 - 46*g. What is l(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3906325552.7 take away 0.163?\nAnswer: 3906325552.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = -1546 + 1586. Let x(r) be the second derivative of -1\/2*r**s - 13\/3*r**3 + 0 + 35*r + 0*r**2. What is the second derivative of x(h) wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 189\/1480 in -0.2, 0, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-2)\/(-4)*(-16)\/(-340)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5 - 11*j + 1 + 2*j**2 + 3 - j**2. Let t be v(11). Let n be -2 - (-16 + (1 - t)). What is the highest common factor of 8 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -157 - -163. What is the least common multiple of 8 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 44643 + 2170?\nAnswer: 46823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 1. Let n be v(1). Let c = 1481\/5 + -293. What is l in -6\/5*l**5 - c*l**4 + 0*l - 14\/5*l**3 - 4\/5*l**2 + n = 0?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488175.\nAnswer: 3, 5, 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15591549 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**5 + 11*c**4 + 15*c**3 + 8*c**2 + 5. Let o(q) = -q**4 - q**3 + 1. Let y(l) = -i(l) + 5*o(l). Factor y(n).\nAnswer: -4*n**2*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2873*y + 2878*y - 120 = 0. What is the remainder when 620 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -101641\/88 + 1155. Calculate the common denominator of k and -15\/146.\nAnswer: 6424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -645250874 divided by -322625437\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -374 + 1092. List the prime factors of j.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, c: 1, m: 4, t: 3}. Give prob of picking 1 c, 1 p, and 1 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - -1. Solve 4*d - f = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(162) + (2 + sqrt(162) - sqrt(162)) + 1 - sqrt(162))**2 - sqrt(162) - sqrt(162)) + (1 + sqrt(162) + -5 - sqrt(162)).\nAnswer: -18*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, g: 5, h: 6}. Give prob of picking 3 g and 1 h.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 487211465 or 487211466?\nAnswer: 487211466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1834 less than 26968262?\nAnswer: 26970096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -1\/5 (c) 37\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93953 = -41*r + 201739. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 1\/75*o**5 + 0*o**4 - 3*o**2 + 0 + 0*o**3 + 0*o. Factor l(n).\nAnswer: 4*n**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*i**3 - 29*i**3 - 10*i**3.\nAnswer: -134*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(18))**2 + 3 + 3 + (2*(2*sqrt(2))**2 - (sqrt(2)*2 + 3)).\nAnswer: -2*sqrt(2) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 618216.\nAnswer: 1854648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57837, -57831, -57821, -57807, -57789?\nAnswer: -57767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -57*s**5\/4 - 14085*s**4\/4 - 24396*s**3 - 23049*s**2 - 2160*s = 0.\nAnswer: -240, -6, -1, -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1507 divide 85689527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -70*46\/4 - 0. Find the common denominator of 2\/8 - d\/(-300) and (-71)\/568 + 347\/(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p**3 + 12*p + 7. Let k(b) = -6*b**3 - b**2 - 11*b - 6. Let s(c) = 6*k(c) + 5*t(c). Determine s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -14 - (-54 - -69)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -o - 17. List the prime factors of 2\/((-4)\/o) + -6 + 55.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncg when three letters picked without replacement from mmcngmgm?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 7\/2*y**3 + 5\/2*y**4 - 1\/2*y**2 - 4*y - 2 + 1\/2*y**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464816.8mg in nanograms?\nAnswer: 464816800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.91 + 0.09. Let a(d) = 63*d - 43 - 67*d - 14. Let v be a(-14). What is the smallest value in u, v, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r + 19*r = 4*r - 128 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 3*o + 5*y - 51, -4*o + y + 25 + 221 = 0 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 10*k - 8*k + 29, 5*k = -3*m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a\/a**(-45))\/a)\/a*a**(2\/49)\/a)\/(a\/(a*a\/a**(-4\/21))*a*a*((a*a*a*a**(4\/13))\/a)\/a))**(-1\/36) assuming a is positive.\nAnswer: a**(-20029\/17199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26059 + 26059. Solve a = -3*o - 15*k + 19*k - 22, 3*k = 5*o + 22 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -41*m**2 - 3. Let t(a) = -82*a**2 - 7. Give -7*p(y) + 3*t(y).\nAnswer: 41*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1210)\/(-18) + (-20)\/90. Suppose u = 2*y + 4*x - 37, 4*x = 20. Does 21 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548392299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1243940141 rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (94\/(-47))\/((-15)\/87) + -11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011 + 11111000100011011010?\nAnswer: 11111000100011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 472 and 327184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 - -173. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p + 8*p + p**2 - 20*p - 5 + 5*p. Let h be z(-4). Let m(w) = w - 1. Let j(v) = 2*v - 1. What is h*j(i) + 7*m(i)?\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28725 and 6511?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -989, -962, -921, -860, -773?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3 + 2 - 231\/3276*4\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 15*f - 17. Determine p(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*w + 186300 = -36*w + 52*w. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 19. What is the greatest common factor of 27 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101385019 is divided by 824268?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*f + 13969082*c**2 + 559*c*f**2 + 6*f**2 + 15*f with respect to f.\nAnswer: -2*c**2 + 1118*c*f + 12*f + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.1 - -4.1. Which is the nearest to 0? (a) 0.5 (b) -3\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-55))\/((-98 + 97)*(-2)\/(-22))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 + 126. Suppose n*f = 35*f + 3. Suppose 1 = -4*g + 25. Solve 0 = f*q - g + 18 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9175 and -4?\nAnswer: 36700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9814 - -9789. Is b bigger than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 - -0.0398?\nAnswer: 0.0998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004436626 rounded to 6 dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269923346 is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 15 - (-3 - -4). Suppose 2*t - q = -6*q + 21, o = -4*t + q. Let y be ((-3)\/10)\/((-6)\/(-5)). Sort y, t, -5 in decreasing order.\nAnswer: y, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33012014 (base 5) to base 14.\nAnswer: 74b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*q, 4*x - x + q = 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 510, -0.2, 2.\nAnswer: -0.2, 0.2, 2, 510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30313642, -60627281, -90940920, -121254559?\nAnswer: -151568198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23 times 100.866\nAnswer: 2319.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 9*o + 26. What are the prime factors of x(11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 f when three letters picked without replacement from {q: 6, f: 2, o: 6, v: 1, m: 3, e: 2}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*g = -90*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*26\/(-13))\/(-8).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 3. Suppose 3*l = 14 + 7. Let y be j(l). Suppose c + 2*k - 42 = 0, y*c - 85 - 95 = 4*k. Calculate the remainder when c is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l**3 + 22618*l**2 - 22617*l**2 - 1 + 6 + 0 + 0 to o*l + p + i*l**2 + x*l**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*i - 59*i = -42. What is the hundreds digit of 35856\/22 - i\/(308\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -5.4. Let z(t) = t + 2. Let q = 8 - 6. Let s be z(q). Put s, -3\/4, r in descending order.\nAnswer: s, -3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 24 (b) 8 (c) 91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8*y - 663 = 12*y, 2*q = -3*y - 441. Let w be 1\/4 + q\/(-60). Suppose 0 = 5*x - 1 - 9. Solve 4*j - 8 = -0*d - 4*d, -2*d + w = -x*j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyjyihhvyvvj. What is prob of sequence vyfi?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 4:17 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - -3)\/3*2. Factor -3*p**3 + 3*p**k + 2*p**2 - 8*p**2 + 0*p**4.\nAnswer: 3*p**2*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 0. Sort -0.17, -0.2, q in descending order.\nAnswer: -0.17, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 4. Let p(g) = 4*g + 2. Let d be p(1). Let y be q(d). Solve 2*t = -2*z, -5*z + 2*t = -y*t - 45 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 55*b + 252. Suppose -2*o + b*u - u = -84, 5*o + 5*u = 175. What is the greatest common factor of 296 and o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252.766078 rounded to two decimal places?\nAnswer: -252.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l**3 - 8*l**2 + 8*l - 8. Let b(v) = v**3 + v**2 - v + 1. Let y be 1 - -3 - (4 + -1). Calculate y*z(i) + 8*b(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2782822.\nAnswer: 2, 7, 197, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/45 and 181\/432978?\nAnswer: 6494670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g. Let f(k) be the third derivative of -k**3\/3 - 24*k**2. Let m = -1 + 3. Let p(d) = d**2 + 1. Let r(c) = m*p(c) + f(c). Determine b(r(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2)\/w*w**15\/w*w*(w**(-1))**(-1\/21) assuming w is positive.\nAnswer: w**(253\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2532*j**2*p**3 + 21520*j**2*p - 1122*p**4 - 96*p**2 wrt p?\nAnswer: 15192*j**2 - 26928*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/20720 and 163\/1377288?\nAnswer: 96410160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 + 0*x**2 - 2*x**2 + (3*x - 2*x - 2*x)*(-x + x - x) - 3042 + 3049 + 4*x**2 - 2*x + x as p*x**2 + k*x + j and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5 = -25. Let j = -1171 + 1204. Calculate the least common multiple of b and j.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2.4, -1, -3, 1\/4 in decreasing order.\nAnswer: 1\/4, -1, -2.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 50 = i. Let x(h) = 31*h**2 - 152*h - 10. Let f be x(5). Suppose i = f*j - 9. Which is bigger: 6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 16, 0 = -d - 5*c - 12 - 10. Let h(i) = -i**3 + 9*i**2 + 13*i - 25. Let w be h(10). Suppose -4*q + 7 = -w. Sort d, q, -7 in descending order.\nAnswer: q, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (0\/2)\/(-2). Solve 2 = -3*b + n - 2, -2*n - h = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22092836617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 30, 0, -2.\nAnswer: -3, -2, 0, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77.1 + -86.6. Let h = -650 - -621.7. Let o = h + x. Round o to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7984, -16010, -24066, -32158, -40292?\n\"Answer: -f**3 - 9*f**2 - 7992*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 4*w - 1. Let g be r(3). Suppose -3*s = 3, -t - 2*s = 2*t - 7. Let d be (-1)\/(t\/24*-2). Solve d*b + 6 = -0*b - 2*u, 0 = 2*u - g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -1)*21\/63. Sort j, 0.1, 5 in descending order.\nAnswer: 5, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1728486, -3456971, -5185466, -6913977, -8642510?\nAnswer: -10371071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/25)\/6)\/(8\/5)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -31. Suppose -r = r - c. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 21. Let n(o) = o + 22. What is -4*c(i) + 3*n(i)?\nAnswer: -i - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6003 + 6034. Let w(d) = d**3 - 9*d**2 - 4*d + 8. Let n be w(10). Let c = 127 - n. Calculate the remainder when c is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -103, -356, -845, -1648, -2843?\nAnswer: -4508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Suppose 0 = 2*t + x + 3. What is the third smallest value in t, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 1. Let x(n) = -n**2 + n. Let w be x(-1). What is the units digit of u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j - 1. Let n be w(-1). Solve 2*x + 2*k - k = -12, 0 = n*x + 5*k + 35 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 6)*(8 + 53*r - 18*r - 167*r).\nAnswer: -528*r + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 - (-9 + -1 - (-4 + -8 + 1))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + sqrt(2448) - sqrt(2448) - sqrt(2448))**2 + -4.\nAnswer: -96*sqrt(17) + 2460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -226, -315, -404, -493?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027475 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)\/v)**(-8)*(v**(-1\/4))**(-41)*((v**0)**(-1\/60))**13 assuming v is positive.\nAnswer: v**(137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -13*q**2 - 1418*q - 115. What is k(-110)?\nAnswer: -1435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -83*h**4\/4 + h**3\/6 + 148*h**2 + 854*h. What is the derivative of n(w) wrt w?\nAnswer: -498*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 215 and 0.28.\nAnswer: 215.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + ((sqrt(99) + sqrt(99)*-1)*3)\/sqrt(9) + ((1 + sqrt(539))**2 - sqrt(11)) + (sqrt(99)*6)**2 + sqrt(11).\nAnswer: 14*sqrt(11) + 4108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 232277680 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78734 - -1023574\/13. Factor 34\/13 - 2\/13*s**2 + j*s.\nAnswer: -2*(s - 17)*(s + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 41\/2 of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000367885986 to six decimal places.\nAnswer: -0.000368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0 - 8 = 0. Suppose 3 = -3*d + q*d. What is the greatest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by 87.\nAnswer: -110\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*t + 249*t + 13104 = 118*t + 8*t for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 times -266.45?\nAnswer: 399.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8, 6, -8, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 5780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b + 8. Let y(x) be the third derivative of 1\/24*x**4 + 1\/3*x**3 + 0*x + 2*x**2 + 2. Determine 2*l(j) - 9*y(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -190*b + 0 + 92*b + 108*b - 2 + 4*b**2. Let n(k) = -5*k**2 - 11*k + 2. What is -3*n(t) - 4*w(t)?\nAnswer: -t**2 - 7*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 2:09 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 322.5 - 322.499907. What is n rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/3 - 58*m\/3 - 56\/3 = 0. What is m?\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 510, 568, 624, 678, 730, 780, 828?\n\"Answer: -q**2 + 61*q + 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -916750 divided by 10\nAnswer: -91675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(32\/(-6)))\/((-3)\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 12*x**3 + x**2 + 25*x + 43. What is m(-2)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 4*q - 4*q)*(2*q - 4*q + q)*(0 - 1 + 2) in the form a*q + u + k*q**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33330 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/(3\/48). Let b = 11 + r. Solve t + 2 = 3*j, -4*t = -3*t + b*j + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -45754a1 (base 11) to base 15\nAnswer: -a80b0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -21*v - 12. Let k(n) = -2*n**2 + 25160*n. What is k(t(g))?\nAnswer: -882*g**2 - 529368*g - 302208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2483, -1, 7, -2 in descending order.\nAnswer: 2483, 7, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006236803 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -163, 1, -5, 0, 352.\nAnswer: -163, -5, 0, 1, 13, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4525 and 80.\nAnswer: 72400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*f - 29*f - 15*f - 30*f - 19*f.\nAnswer: 19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/10, -0.2, -2\/9?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 3:14 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 1151 = 4*c - 1134, 2*c - d = -1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -m - 31, -m - 2*m = -l + 85. Let f be (15\/9)\/((-15)\/m). Is f at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1. Let g(j) = -j - 22. What is -g(r) - 6*x(r)?\nAnswer: r + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -55 (b) 1\/7 (c) -3413 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -33, 0.1, -8, -2\/5, -0.124?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 85. Let l = f + -83. What is the least common multiple of l and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 3*f - 2*f + (f + 0 + 0)*(-1 - 2 + 4) + (2*f - 2*f + f)*(15 + 2 + 13)*(-9 + 3 - 3).\nAnswer: -268*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-11 + (-10 - -20))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 5119 - 394. Let s = z - 524. Let w = -1 - -1. Solve w - s = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 + 6*z**2 + 15*z**2 + 6*z**2.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39216689*h**2 + 67474067*h?\nAnswer: -78433378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11129, 0, 8, -4, 4, 1 in descending order.\nAnswer: 8, 4, 1, 0, -4, -11129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 - 6. Let k(l) be the first derivative of -7 + 40*l**2 - 10*l**4 + 35*l**2 - 2*l**3 - d*l**2. What is the third derivative of k(u) wrt u?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -35721247739 and 0?\nAnswer: 35721247739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 91300 rounded to the nearest one thousand?\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 6, w: 12}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 - 78. Let i = j + 5.5. Let q = -0.9 - -1. Which is the closest to q? (a) i (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/34478679 and 2\/115.\nAnswer: 172393395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.6 (c) 0.9 (d) -11 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a - 12 = 0. Let r be 3\/(-6) - (-17)\/2. Suppose r*q - 765 = a*q. Calculate the highest common divisor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-5 + -2) - 1) + (507 - 502).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 149 and 194594?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, s: 5, j: 3}. Give prob of sequence qjj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-61996)\/2*(-9)\/84. Let q = 3319 - x. Let s = 4799\/10 + -477. Find the common denominator of s and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18085*g + 9044*g - 5*l = -9046*g - 185, l = -2*g + 49 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/54 and 107\/374742.\nAnswer: 1124226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from rydmmyymmymmmmmmy?\nAnswer: 25\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24053, 24189, 24325, 24461, 24597, 24733?\nAnswer: 24869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/70 + (-36)\/(-14). Sort -0.2, t, 5, 1.\nAnswer: -0.2, 1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1894854\/25 or 75795?\nAnswer: 75795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide -6 - -6 - ((-1108)\/1 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c - 3*c + 5*c)*(3 + 4 - 5)*(652 - 89*c - 652) in the form l*c + h + a*c**2 and give a.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1293706*u**5 - 1172*u + 736.\nAnswer: -25874120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 9:31 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1113304126 and 374.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/2)\/(2*(-6)\/(-24)). Let u(s) = 3*s**2 - 2*s + 4. Suppose 3*h = 5*t - 2, 0*h + 4*t = 3*h + 4. Let l(a) = 3*a**2 - a + 3. Calculate b*u(r) + h*l(r).\nAnswer: -3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -603977555 less than -603977555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*y - 48*y + 96*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11a3a (base 14) to base 10\nAnswer: 43172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 49172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22698 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n - 3. Let o be q(2). Let i = -146 + 171. Factor 19 + 8*k + i*k**2 - o - 29*k**2.\nAnswer: -4*(k - 3)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32845350?\nAnswer: 2, 3, 5, 218969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-15))\/(2\/(-36)). Suppose 3*z - 3 = u. Let y(k) = -2*k. Give y(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0 (c) -6\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j - 1665 = 21*j. Suppose h + j = 3*a - 4*h, 2*a + h - 357 = 0. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*f + 44 = f, -4*f + 92 = 4*q. Suppose -p + 30 = -3*d, -p + 3*d + q = -d. Let k = p - 8. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1070457*k*x**4 - 3*k*x**3 - 75*k*x**2 + 7*x**3 - 90709 wrt x.\nAnswer: 25690968*k*x - 18*k + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*d - 73*d + 5*j + 2466 = 0, -2*d - 5*j = -1644. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 3\/2 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(88)*1)\/(sqrt(16)\/sqrt(18)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14083.99988252 - 14084. What is g rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/29 (b) 0.14 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k - 3. Does 6 divide w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - 3 - (0 - (5 + 0))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4002105 and 999?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617*j + 10724 = 19*j + 29441 + 37887 for j.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 113825655.274 from -40.1.\nAnswer: -113825695.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -266 - -273. Let m(w) = -21*w + 9*w + 0 + 2 + o*w + 3*w. Calculate m(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**5\/210 + 9*b**4\/14 + 243*b**3\/7 - 6*b**2 + 2*b. Factor k(g).\nAnswer: 2*(g + 27)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/68, -28, 0.3, -101, 0.4 in decreasing order.\nAnswer: 0.4, 0.3, 3\/68, -4, -28, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 16*h**2 + h + 11. Let w be n(-16). Let s(m) = m**3 + 6*m**2 + 9*m + 27. Let y be s(w). Solve -4*j - i + y = -4, -21 = -4*j + i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)\/(x*x*x*x*x\/x**7*x*x*x*x) assuming x is positive.\nAnswer: x**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*d**2*g**2 + 14*d**2 - 3034*d*g**2 - 263 wrt g.\nAnswer: -112*d**2*g - 6068*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2 = -18. Let c be (-3)\/i - 27\/45. Let g(o) = o**3 + o. Calculate g(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 9 = -v - 6*y, 3*v = -3*y + 27. Suppose -2*h + 25 + v = 0. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10551868 rounded to the nearest one hundred thousand?\nAnswer: 10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13209 + -48521?\nAnswer: -61730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 - -2) + 1 - -1) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*(-1*sqrt(500) + -3 + (-5*(sqrt(500) + -1) - sqrt(500) - sqrt(500))))**2.\nAnswer: -24000*sqrt(5) + 2400300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from oooozzz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1 = k, -2*x + 1 = -k - 0. Let h(d) = d + 2. Let o be h(x). Solve -a + o = 0, a = -4*p - p - 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -792 by -24.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-7))\/4*(5 - 4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 15*z**2 + 5*z - 75. Let g be n(15). Let s = 28 - 23. Suppose g = s*v + 4*q - 900, 0 = -q - q. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wws when three letters picked without replacement from {w: 10, s: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - r**2 + 3*r - 1. Suppose 0*x - 78*x = 41 - 197. Calculate a(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/26)*i*i**(-1)*(i\/i**(-2))\/(i*i*(i*(i\/i**(-3))\/i)\/i*i))**(2\/31) assuming i is positive.\nAnswer: i**(-77\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8862 = -526*l + 104*l for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11764 plus 16.2?\nAnswer: -11747.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -4)\/((-4)\/(-28)). Let y be (6\/5)\/(o\/5). Let v = 19.1 + -19.4. Which is the second smallest value? (a) y (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 67*u + 979. Determine l(-19).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 7761894?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14006773?\nAnswer: 11, 1273343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from gngogggov.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j = j - 24 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 + -7 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 260*p**3 + 41*p**2 + 47739*p - 34. Let m(u) = -38*u**3 - 6*u**2 - 6820*u + 5. Determine -6*j(a) - 41*m(a).\nAnswer: -2*a**3 - 6814*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhehhhxehhhehbbeb. Give prob of picking 3 b.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4673410.34 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23130929 and 1271.\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 10:50 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 631575 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.10266 - 0.03137. Let w = -32.07419 + o. Let k = -32 - w. What is k rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188*g - 84 + 148 - 62 to the form v*g + h and give v.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**6\/120 + z**5\/60 + 41*z**3\/6 - 2*z**2. Let g be t(0). Round g to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6173 - -6177. Let j(k) be the first derivative of 0*k**d + 22\/5*k**5 - 5*k**2 + 0*k**3 + 0*k - 14. Find the second derivative of j(p) wrt p.\nAnswer: 264*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 m when four letters picked without replacement from {m: 3, r: 1, d: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 54?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 33 + 27 = 0. Let b = 7 - 6. Let w be (9\/(-6))\/(b\/(-2)). Solve w*t - 2 = f - 19, p = -4*t + 5*f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x**3 - 17*x**2 + 51*x + 210. Let s be b(-4). Solve -62*u - s = 20*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -196 - -232. Suppose 2*j + 4 = -3*z, -j + 0*j - 4*z - 12 = 0. Solve 0 = -5*o + 2*u - 12, -j*u + 4 = 4*o + a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -147. Let p = m + 159. Does 28 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, 22, 52, 102, 178, 286?\n\"Answer: q**3 + q**2 + 6*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = i - 3*q - 13, 3*i - 3*q - 9 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4 (b) 6\/7 (c) -6531 (d) -0.5 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-110)\/4 - 4\/(-8). Let z = u - -45. Suppose -r = 2*r - z. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 5362.\nAnswer: 58982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f - 258477429 + 258477429.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b + 5466 = -8*b + 341880. Calculate the greatest common factor of b and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(10)\/sqrt(5)) + sqrt(44))\/(sqrt(144)*5))**2.\nAnswer: 11\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1768, -3466, -5092, -6610, -7984?\nAnswer: -9178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 152, -482, -1822, -3874, -6644, -10138, -14362, -19322?\n\"Answer: -p**3 - 347*p**2 + 414*p + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -7*x + 313. Let n = x + -33. Suppose n = -0*r - 12*r + 36. Solve 8 = -r*s - s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -7 - 9. Which is greater: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 30 - 18 = 0. Solve 6*y - 10*y = 4*x + t, 4*x + 7 = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-33)\/396)\/(2\/(-4)) + 1\/(-8). Let l(f) be the third derivative of 0 + 0*f - 24*f**2 + g*f**4 + 0*f**3. Let p(c) = 8*c. What is p(l(z))?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c + 5. Let b(y) = 2*y - 1. Let z = -58 + 67. Calculate z*b(j) + 2*d(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163 + -166.62. Let u = p - -3.62. Which is the second biggest value? (a) 5 (b) u (c) -102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*h - 20 - 44. Suppose 5*z = 5*b + 2212 + 6653, h*b = -4*z + 7084. Let i = -261 + z. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24816 and 771122.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 11154\/7 and 1593 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 1225744.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37062*l*n*t**4 - 44*l*n*t**2 - 2*l*t**2 + 47*n*t**4 + 7*n + t**2 - 11 wrt t.\nAnswer: -889488*l*n*t + 1128*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 25*r**2 - r - 19. Let y be f(-25). Suppose 0 = y*s + 42 - 162. Solve 5*a + s = 5*q, 2*a = -4*q - 0*a - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 146224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 26 = -5*o, -3*o - o + 4*t + 28 = 0. Suppose 0 = -l - 3*k - 57, o*k - 58 = 5*l + 284. Is 6 a factor of (-936)\/l + (-6)\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, r: 1, b: 2, p: 4, i: 2}. What is prob of sequence wir?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38919, -38762, -38499, -38130, -37655, -37074, -36387?\n\"Answer: 53*q**2 - 2*q - 38970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 8*r + 19. Let m be k(-3). Suppose b + 130 = m*a - 153, a - 67 = b. Is 71 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 4. Suppose -12 = -408*p + 412*p. Let c be 2\/(-60) + p\/18. Put 3, -4, w, c in descending order.\nAnswer: w, 3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208470\/6949*(-14)\/170\nAnswer: -42\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -9, -1 in increasing order.\nAnswer: -38, -9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t + 6*t**3 + t**3 + 1 + t**2 + t**4 + 3*t**3 + 0*t - 9*t**3 to the form u*t**4 + n*t + o*t**3 + j*t**2 + y and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4742*w. Let u(n) = 18361801 + n - 18361801. Give u(s(q)).\nAnswer: 4742*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*v + 247*v - 1064 = 0 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1256 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 9. Let v be c(-7). Let o = 35 + v. Let g = o + 0. Calculate the smallest common multiple of 8 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343231 (base 7) to base 14.\nAnswer: 18418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -81.1?\nAnswer: -81.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 16*k - 26. Let x be p(-2). Find the second derivative of -d**2 + 15*d**x + 9*d + 3*d**2 + 2 + 7*d**2 wrt d.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -0.5, 0.5.\nAnswer: -27, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -56. Let w(k) = k - 14. Let h(d) = 3*o(d) - 12*w(d). Let n(m) = -m + 2. Let f(g) = -1. Let r(y) = 2*f(y) + n(y). What is h(r(q))?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7090, -2\/3.\nAnswer: -5, -2\/3, 7090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.84, -6.8, -5, -0.6, 4, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1022)\/365)\/((-35)\/75)*(5 + 1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-1 - -4 - 1). Suppose -5*q + 4 + 1 = -5*i, h = 4*q + 8. What is the tens digit of (-6 + 5)\/(i\/99)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 10*l - 9. What is the units digit of z(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4188 by -2.\nAnswer: -2094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 557.9 + -558. What is the biggest value in 0.4, 0.2, -0.036, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003134686 rounded to seven dps?\nAnswer: -0.0003135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**3 - 103*w**2 + 25*w - 23. Let k = -371 + 345. Let o be u(k). Put -1\/4, o, 0.7, -0.5 in ascending order.\nAnswer: -0.5, -1\/4, 0.7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 64. Let h = 362 + -360. Put -8, 4\/3, x, h in ascending order.\nAnswer: -8, 4\/3, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/8, -2, 0.1, 4, 1\/72?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.08836*27.03\nAnswer: -2.3883708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 776 = -2*o, -2*r - 624*o = -620*o - 784. What is the smallest common multiple of 352 and r?\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6932940 - 9283207124\/1339. Let k = -4\/103 - y. Which is the fourth smallest value? (a) 3 (b) 1 (c) k (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7006a + -1?\nAnswer: -7006b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 980 - 231 = 7*v. What are the prime factors of v?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(75) + -1) - (-3 + sqrt(75)*-1)**2.\nAnswer: -87 - 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 648, -1\/8, -4, -0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.028883 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1862)\/(-665)*500\/(-25).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 219687 to the power of 1\/2, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 6:46 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -178 (base 10) to base 3\nAnswer: -20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*r - 36, 2*j + 2*j = -4*r + 40. List the prime factors of 639\/(-6)*r\/(-9).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 72481087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (0 + 9 + -2). Let m = -2 - s. Suppose -10 = 2*o - m*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 8*v + 6. Let x be g(8). Suppose -x = 4*m - 26. Let k be (-130)\/4*(-6)\/m. What is the highest common divisor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3\/1*((-6700)\/(-6))\/(-50).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 31.9 and -0.044571.\nAnswer: 31.855429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1393181*u**2 - 204*u + 5 + 204*u - 4*u**3 - 4*u**3 + 1393181*u**2.\nAnswer: -8*u**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/(o*o**(-5)\/o))**(-31) assuming o is positive.\nAnswer: o**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2097 + 20.6403. Round d to zero dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 324 = -2*d. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(-4 + 2 - 1)*(-4 + 0 + 5)*(-5*q**5 - 7*q**5 - 3*q**5).\nAnswer: -90*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/4 + 3\/2. Let w = l + 1. Suppose 0 = -w*y + 9*y - 50. What is the highest common factor of 275 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/(-18040)*154*2*(-10)\/(-8)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 15*h - 15. Let x(j) = 129*j - 130. Let i(w) = -26*r(w) + 3*x(w). Let p(f) = 40*f**2. What is i(p(m))?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 826461140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 + -36. Let t = z + -54.9. Let i = t - -3.2. What is the nearest to 2 in 2, i, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a + 65 = -a + 5*q, -8*a - q = 638 - 611 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aiia when four letters picked without replacement from {b: 5, i: 3, a: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40787\/42 or -972?\nAnswer: -40787\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49564 and 7764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sifjfjiffffijfffjg. What is prob of picking 3 j?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*v + 115*v**4 - 45*v + 3*v**3 - 3*v**3 - 2*v**2 as z*v**3 + y + g*v**2 + h*v + o*v**4 and give o.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5.4682848 - -392.62\nAnswer: 387.1517152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2013322024 - -4?\nAnswer: -2013322020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -22845, -5 in increasing order.\nAnswer: -22845, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -18*t**2 + 563*t - 125. Give g(31).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = -9*d - 76. Calculate the smallest common multiple of 10 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -3. Let n be (v - 0) + 24\/(-4). Let w = 11 + n. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 + 1. Let z(o) = 11*o**3 + 366*o**2 - 6. Give 4*i(f) + z(f).\nAnswer: 11*f**3 + 346*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {o: 9, t: 2}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*k, 3*r = 5*r - 2*k + 2. Suppose 2 + 4 = -3*g, 5*y - 39 = -3*g. Suppose -y = 2*z - 21. What is the remainder when z is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u. Let s = -2201 + 2307. Calculate the remainder when s is divided by w(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5 = -3*p, -2*p - w + 10 = w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 8*y - 7. Let n be l(-7). Let i = n - -6. What is the remainder when 321\/21 - i\/(-28) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-188))\/(72*(-3)\/(-1728))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 1, p: 1, t: 1, v: 1}. Give prob of picking 1 t and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*t - 0*t. Let w = -37493 - -337348\/9. Is w at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 187 - 185. Calculate the greatest common divisor of r and 136.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 5, -1\/5437, -1, 0.06?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**7\/35 - d**6\/15 - d**5\/20 - 9*d**2. Let n(a) = 7*a**4 - 9*a**3 - 4*a**2. Let q(w) = 6*f(w) - 5*n(w). Factor q(v).\nAnswer: v**2*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**7\/168 - u**5\/40 + u**3\/24 - 10*u. Determine f, given that m(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(243) + 4)*2 + -3 + -5*(sqrt(75) + 0 - (sqrt(21)*-1)\/sqrt(7)))**2.\nAnswer: 7020*sqrt(3) + 20277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*l**2 + 2*l**4 + 12 - 3*l**3 - 12*l**2 - l**3 + 14*l**2 - l**2 in the form v*l**4 + k*l**2 + x + o*l**3 + s*l and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41157 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 207582649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -853e8 (base 16) to base 3\nAnswer: -1000201122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 7*z**2 + z - 1. Let s be p(7). Let m be (4 - s)\/((-2)\/7). What is the second derivative of -m - 2*a - 3*a**2 + 7 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16850?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c - 100. Determine m(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {z: 2, f: 1, g: 3, y: 3, v: 1, j: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17871292 is divided by 30654.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 17 - 86*l + 5)*(20*l - 11*l - 14*l).\nAnswer: 430*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + 1*sqrt(176)).\nAnswer: -25 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 106135, 106126, 106111, 106090?\n\"Answer: -3*y**2 + 106138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 112*m - 224. What is w(-110)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.2 = 1040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -314414, -314401, -314388, -314375, -314362, -314349?\n\"Answer: 13*u - 314427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1 + 2 - 4 + 1 - 1 - 3 + 2 + (-3 - 2 + 3)*(0 + 5 - 4) + 4 - 4 - 1 + 1 + 1 + 0 - 14 + 41 + 46)*(0*k + 3*k - 4*k).\nAnswer: -67*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.8128625 - -3.811. What is b rounded to five decimal places?\nAnswer: -0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 3074?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 11. Let v(z) = z. Let m(s) = a(s) + 2*v(s). Let w be (1 - 1)\/(0 + 1). Determine m(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 68\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 299279 to the power of 1\/2, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 146\/(-8)*((-1)\/(-7) - 3944\/952)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 133*b. Let i(x) = x. Let w(s) = -160*s - 1759. Let g be w(-11). Determine g*h(v) - 114*i(v).\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + (0 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 345.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:06 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 226?\nAnswer: 225.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9903671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2\/9, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j + 35. Let u(s) = 14*s**3 + 2*s**2 + 3*s. Let a be u(2). Let w = a + j. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.033 - -0.209. Let c = -0.068 - l. Let t = 0.24198 + c. Round t to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1623743 and 8591.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48297976222 + -1.\nAnswer: 48297976221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + o - 91977, 200*o = 201*o + 6. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/186 and -121\/518538.\nAnswer: 16074678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 510716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 73 = 2*s. Let a = -36 + s. Suppose 0 = -a*u + 6*u + 1477. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 71*i = -340. Let k(m) = -m**2. Let t(g) be the second derivative of 7*g**4\/12 - g. What is i*k(v) - t(v)?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356 - 92 = 112*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 156*i - 774. Let r be p(5). What is the greatest common factor of 753 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.4 (c) 71 (d) -0.1 (e) 24.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-8\/7)*c*c**(2\/5)*c**(-1\/9)*(c*(c\/(c**13\/c*c))\/c)\/c assuming c is positive.\nAnswer: c**(-4049\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-2) + (-1)\/(-2). Let q(x) = x**2 - 4*x + 2. Let u be q(h). Find the second derivative of m**u - 2*m**3 + m - m**2 wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/3 + 3\/(-1). Let b be -26*1*(-4)\/y. Let z = -9 + b. Solve -h - z = -1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 66) + 186412\/1607\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 4*o**2 - o + 2. Let y(f) be the second derivative of f**4\/12 - f**3 + f**2\/2 + f. Let a be 2\/((12\/(-10))\/(-3)). Let m be y(a). What is l(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38805016 to the power of 1\/2, to the nearest integer?\nAnswer: 6229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -542\/9 greater than or equal to -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1123 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*u - 109, -6 = 4*u - 26. Suppose -3*i = m - 123, 5*i = -m + 69 + 54. Let n = t - m. What is the least common multiple of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60 - -33 - (-9 - 0)) + 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -170 - -190. Solve a - 2 = 0, 77*q - 81*q + 4*a - r = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*j + 202 - 334 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/3)\/(12\/(-9)). Let j = 3\/79 + -261\/632. Which is the closest to -1? (a) i (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 18*b. Let y(u) = 26*u**2. Calculate n(y(l)).\nAnswer: -1352*l**4 - 468*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 13*m - 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 183 - 122. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 334 = -2*b + 2*i, -834 = -5*b + 4*i. Let a = 221 + -213. Calculate the lowest common multiple of b and a.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 29878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 15. Sort -1, 2, l, 3 in ascending order.\nAnswer: -1, 2, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (26 - 43) + -163 + 38?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 4929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 5 - 4) + (12 - -373) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 1 + 4. Suppose 5*n + 6 + 4 = -5*h, -4*h - 6 = w*n. Which is smaller: 5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (2*-1 - -44). Suppose -3*z = 3*u - g, -2*z - 5*u - 6 = -z. Suppose -2*a + z = w, -4*w + a + 46 = 3*a. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j**2 - 4*j + 2. Let z be 3 + (2 + -5 - -2). Suppose 4*u - z = 2. Let k(r) = r**2 + r. Calculate u*h(y) + 4*k(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*c + 24*c + 10. Suppose y + 54 = h + 3*h, -18 = -c*h - 4*y. Let o = h + 10. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225*0.12194\nAnswer: -27.4365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 + -272\/5. Let c = 12015\/638 + 1\/957. Calculate the common denominator of c and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from gwmgsgag.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**2*w**2 + 13*m**2*w - 16*m**2 - 2*w**2 - 10018*w wrt m.\nAnswer: 4*m*w**2 + 26*m*w - 32*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18948096?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30597270, -30597297, -30597326, -30597357, -30597390, -30597425, -30597462?\nAnswer: -30597501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -39*l + 7. Calculate r(3).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -40. Let p = b - -16.144. What is p rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, k: 18}. What is prob of sequence kgkk?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 6*o**2 + 8*o - 6. Let i be n(7). Suppose 5*h - 14 - i = 0. Solve 2*w + h = t, 3*w - 15 = -10*t + 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 59\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/b**10))\/((b*(b\/(b**(-10)*b))\/b*b)\/b))\/((b\/b**(1\/2)*b*b)\/((b*b**(9\/8)*b)\/b)) assuming b is positive.\nAnswer: b**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {w: 2, q: 11}.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1615*z - 1615*z - 2*z**2. Let p(s) = 6*s**2 - 4*s. Give p(w(h)).\nAnswer: 24*h**4 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Find the third derivative of n*s + 4*s**4 + 5*s**2 - 3*s wrt s.\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 310 + -307. Suppose -5*b = q*u - 924, 7*u = 5*u - b + 616. List the prime factors of u.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/83 (b) -0.05 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/66 - (8 + (11 - 7733\/121)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43800 to the nearest 1000.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 32*j - 260. What is m(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.360132 + 0.03972. Let u = -202 + 202.4. Let m = j - u. Round m to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 0 + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 131, 245, 371, 509?\n\"Answer: 6*f**2 + 96*f + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from uayanev?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1011754 to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (5*sqrt(208)*2*-6 - -4*(0 + sqrt(208) + -5))).\nAnswer: 34 + 448*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + 1 + 7 + 24\/12. Is 28637\/p - (-16 - 910\/(-56)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.73 less than -0.029?\nAnswer: 2.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 12*w - 2475. Does 23 divide 145\/29 - (0 - w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2621485435?\nAnswer: 5, 173, 3030619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58142, 116286, 174430, 232574?\nAnswer: 290718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318424.\nAnswer: 2, 53, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 124740 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3766 = 2*k, 9406 = 5*u - 3*k + k. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - 103*q - 922. Calculate the remainder when h(-9) is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/11475972 and 83\/15.\nAnswer: 57379860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 - -97. Calculate the least common multiple of 44 and ((l - -2) + -6)*(-5 + 3).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddfdczzdddhhwfzfcfc. What is prob of picking 1 z, 1 w, 1 c, and 1 f?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 2002100210222?\nAnswer: -2002100210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y**4 - 576*y**3 + 732*y**2 + 344*y - 480 = 0. Calculate y.\nAnswer: -30, -4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 601943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 316\/14 - ((-24)\/(-14))\/3. Let a be (268\/m - 4) + 20\/(-110). What is the greatest common factor of a and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 575 and 2517050.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11470, 22943, 34416?\nAnswer: 45889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250085722 by 698.\nAnswer: 358289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15440453?\nAnswer: 7, 2205779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 366*h + 30769. Calculate m(-84).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 84\/39 - (-6)\/(-39). Let v(z) = z**2 + 2*z. Does 3 divide v(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = -3*s - 2*i, 21 = -s + 5*i. What is the remainder when (-1215)\/18*4\/s is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 44. Is -2\/11 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 17*q - 80 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25693 and 0.3.\nAnswer: 25693.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 870, -4, -2864?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 1558 = -1338. Suppose -5*x - 2*p = -4*x - 10, -3*x - 10 = -2*p. Suppose -a*d + 330 + 700 = x. List the prime factors of d.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749*t = 745*t - 2*p - 6, p + 3 = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 6:49 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(114) - (2*sqrt(114) + sqrt(114)))*-2)\/(sqrt(600)*2*-5)*-2.\nAnswer: 6*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 84 = -4*x. Find the first derivative of 0 - 10 - x*v**3 + 6*v**3 - 6*v**3 wrt v.\nAnswer: -63*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 213 (b) 26 (c) -2\/21 (d) 5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -305*y + 309*y - 1628. Let u = 386 - y. Round u to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -512*c**3*i - 156*c**3 - 4*c**2 - i wrt i?\nAnswer: -512*c**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:42 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**8\/12600 - l**6\/2700 - 7*l**3\/3 - 12*l**2. Let q(m) be the first derivative of x(m). Solve q(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-80))\/((-16488)\/(-4580)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -2 (c) -9 (d) 2\/11 (e) -121 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 779470 and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.011333 centuries?\nAnswer: 10813.5996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6 = 5*z, 4*v = 3*v + z - 2. Let u = -3 - v. Is (2\/3)\/((-1)\/(-1194)) + u 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 -3268824*w**3 - 10*w + 130648 wrt w?\nAnswer: -19612944*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 172 - 508. Suppose 63 + 49 = 4*u. Calculate the highest common divisor of u and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -11. Let u = -0.1 - -2.1. Let n = -5 + u. Which is the second biggest value? (a) q (b) n (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 86, -43, -5, 3 in increasing order.\nAnswer: -43, -5, -4, -2, 3, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/5165 or 0?\nAnswer: 6\/5165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 6 + -2 + (-64 - 47) - -9.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 14. What is r(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*u - 6112 = -708 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 - 18*r**2 - 12*r + 20. Determine f(9).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 14 = -2*m, 5*r = 2*r + 3*m. Let c be r\/4*4\/(-3). Factor c*j + 1\/3*j**2 + 1\/3.\nAnswer: (j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 3*a**2 - a - 3. Let u be b(-3). Suppose u = -2*g + g. Let q(z) = -z - 5. Let t be q(-5). Is g greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t**2 + 22*t**2 + 11*t**2. Let f(l) = -4*l. Determine f(w(z)).\nAnswer: -104*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 749\/2 + -366. Let o(t) = 7*t - 74. Let c be o(14). Find the common denominator of (c\/9)\/(222\/(-54)) and k.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(10\/(-4)) + (-14)\/(-2). Suppose -1 + 17 = 4*m. Suppose 3*t = m*b + 107, -t - y*b - 11 = -53. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 4*v**2 - v - 4. Let f be g(-4). Let t = -124 - f. Suppose -t*m + 72 = 5*n, 8*m = n + 4*m. Solve 3*q = -0 + n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ianyyiu. Give prob of sequence nyu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmmammmmammaamaa. Give prob of sequence az.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 7. Let s = 3 + b. Solve -2*v + i = -10, s*v = -3*v + 5*i + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + -5 + (4 - (-52 + 72))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17641 and 25.\nAnswer: -17616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 - -69. Let u = 2 - 1. Calculate the remainder when l is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q = -4. Suppose 6 = -3*o + 4*h, 2*o - 3*h = -o - 3. Is ((-8392)\/(-16))\/(q\/o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -320.48 - -321.98. Which is the smallest value? (a) 2\/3 (b) 4 (c) -2 (d) m (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(1\/((-10)\/5)). Let b be (-33)\/(-9) + 2\/6. Suppose z*d - 330 = -b*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3917*u + 324387 = -1774*u for u.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1122011 (base 3) to base 2\nAnswer: -10010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 2. Let g(p) = 8*p**2 + 6. Let v(o) = -3*g(o) + 10*l(o). Let z(w) = -2*w**2. Give z(v(x)).\nAnswer: -32*x**4 + 32*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9080 and 20480?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a**3 - 6*a**3 + 254592 - 253996 + 4*a - 4*a**3 in the form i + s*a + x*a**3 + l*a**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(5\/8*4). Which is the nearest to l? (a) 2\/3 (b) 4\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750058128.\nAnswer: 2, 3, 1201, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26908 by -33.\nAnswer: -26908\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-148 + 74) - 128.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.32913 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-6.879.\nAnswer: -0.6879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6332315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 5 - 11*p**2 + 14*p**2 - 2*p**3 + p. Let s(a) = 3*a**3 - 8*a**2 - 2*a - 8. What is -5*s(i) - 8*u(i)?\nAnswer: i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 251.74132 plus 0.3285334?\nAnswer: 252.0698534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 12, -15*y + 8 = -13*y - 2*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**3 - 7*m**2 + 7*m**2)*(-m**2 + 0*m**2 - 12*m**2)*(-64 - 95 + 56)*(1 - 5 + 2).\nAnswer: -10712*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000397079413 to six dps.\nAnswer: -0.000397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/sqrt(3))**2*-4 - ((sqrt(98)\/sqrt(2))\/sqrt(7))**2) + 0.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(sqrt(1872) + (sqrt(1872) - (sqrt(1872) + -3))**2*-4)*-5*-5*-3 + -4.\nAnswer: -3600*sqrt(13) + 10799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 8*a + 57. Determine d(6).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*k - 10*k - 16 + 2*k + 2*k**2 in the form p*k**2 + r + o*k and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 44 - (-14 + 112 - -28).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1359*p**2 + 5111*p - 5111*p - 4806*p**2 - 2*p**2 + p**2 + 0*p**2 + (2*p - 2*p - 2*p)*(0*p + 0*p - 2*p).\nAnswer: -3444*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158223 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -8 + 2. Suppose 2*i = -5*k + 7, 2*k = 4*i + 6*k - 20. Suppose -3*f - 2*f = -2*t + i, 3*f + h = 2*t. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 1 + -23 + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, 4, -19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3 + 14*n**2 - 10*n - 150 = 0.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 5*r**2 - 7*r - 2. Let n = 2 - 8. Let v be g(n). Let k = -1.5 + 0.5. What is the smallest value in v, k, -3\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 2*o - 14. Suppose -q + 8 = -4. Let l be b(q). What is l rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997738949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173144 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -19. Let p be 1 - (-3 + j + -3). Let n = -56 + 391\/7. Which is the closest to -1\/3? (a) 11 (b) n (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 13*h + 5. Let k be y(12). Let a(x) = -7*x**2 - 7. Let f(z) = 8*z**2 + 8. Give k*a(c) - 6*f(c).\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/8)\/((-3)\/(-90)*3). Let n(d) = -7*d**2 + k*d - 3*d - 2*d. Let s(v) = v. Let w(z) = 2*z**2 + 6*z. Let f(b) = -6*s(b) + w(b). Calculate f(n(h)).\nAnswer: 98*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112) - (sqrt(2112) + sqrt(2112)*-2)*-4)\/(sqrt(77)\/(2*sqrt(112))).\nAnswer: -192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 3, -9, -2\/9 in increasing order.\nAnswer: -9, -2\/9, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from zzzyyyzzuuwuuz?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) 0.7 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 175*x + 1 = 511, -343*x + 21 = -4*b - 346*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 93*d**2 - 1682*d + 2631. What is g(22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**7\/560 - g**6\/144 + g**5\/30 + 7*g**2. Let p(r) be the third derivative of f(r). What is the derivative of p(i) wrt i?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*n = 109*n + 100. Suppose 60 = 4*v + 3*k, -v + n*k + 15 = 5*k. Solve -10 = i - v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45.668 - -73.16. Let t = 0.542 - a. Round t to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*s + 5198, -s = -5*y + 480 + 8214. Suppose -2*i + y = -5*k, 1045 = 2*i + k - 681. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17793*f**4 + 110*f - 7?\nAnswer: 213516*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfyayfsesyp. What is prob of picking 2 s, 1 f, and 1 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/25 and (-38)\/76 - (-27)\/10.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a - 4. Let r be (0\/6)\/(-1 - 1). Let v = 6 + -4. Let x(m) = 0 - 3 + r*m + v*m. What is 3*w(o) - 4*x(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1496 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -5*s - 9*s. Solve -s*a + 2 - 18 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -244798.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 12:50 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33.145 + 33.9. Round f to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 13) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 12. Let b be q(9). Let p be 27 + 2 + b + -2. Suppose 0 = 3*i - v - 38, -2*i = -0*i - 3*v - p. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 17. Let f = j + 0. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2203 (base 4) in base 3?\nAnswer: -20001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 6 - -13 - 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 5*s**2 + 6*s + 12. Let x be i(6). Let m = 18 - x. Find the third derivative of -17 - 7*z**3 + m*z**2 + 17 wrt z.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 851 + -601. What is the highest common divisor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) + 5*-1*sqrt(16))\/sqrt(8))**2 + -2*((sqrt(2)*2)**2 + 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.365 times -995?\nAnswer: 36183.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, a: 1, b: 1, d: 6}. Give prob of picking 1 b and 1 g.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 10*f - 6. Let q be n(9). Let m = q + -657\/4. Let w be 2\/(-6) + (-73)\/(-219). Put m, 18\/7, w in decreasing order.\nAnswer: 18\/7, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 0.15.\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 189 - 79. What is the remainder when 107 is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 27\/(-8) + 4 - (-9)\/24.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lllu when four letters picked without replacement from uuululuuullluuuullu?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3660 and 113765?\nAnswer: 1365180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = -2*j - 4, 0 = 5*r + 2*j - 10. Let o(x) = 2*x - x**3 - r + 3*x**2 + 0*x**3 + 4*x - 4. Determine o(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -414411 divided by -414411.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(6\/(-15)) + 2\/(-4). Suppose 0 = l + 4*q - 9, 0 = -f*l + 2*q + 2*q - 30. Let t(y) = -y**2 - 8*y + 4. What is t(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -c + 4*o + 1, -2*o = 3*c - 8. Suppose p + 75 = -5*t, -4*t - 71 = -2*p + 5*p. Let z be ((-12)\/14)\/(c\/t). Round z to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.0136 + -1.0136. Suppose 2 - 4 = -5*j + 4*v, -5*j = v - 12. What is the nearest to n in 11, 3, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.028 in -4\/5, -112, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1033.087 to the nearest integer.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**3*m**6 - 32150*h**3*m**4 + 28*h**3*m**2 + h**3*m + 179*m wrt m.\nAnswer: 240*h**3*m**3 - 771600*h**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9506719631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -26*m**5\/15 - m**4\/8 + 976*m**3\/3 + 636*m**2 + 4*m. Differentiate h(v) wrt v.\nAnswer: -208*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 476 divide 479808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -13*u + 35 - 6. Which is the fourth smallest value? (a) -61\/4 (b) -5 (c) 2\/15 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 30 = -4*h - 3*k, 4*h + 26 = -3*k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 11:47 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**4 - k**3\/3 - k**2\/2 + k + 7. Let a be h(1). Solve -2*m + m + a = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1 - p**2 + 2*p + 2*p + 1. Let u be k(4). Suppose 5*a = n - 30, -2*n = -5*n - u*a + 141. What is the highest common divisor of 30 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*h + 180 = 4*o, 48 = o + 4*h. Let x = o + -16. Suppose -u + 2*i = -49 - x, -5*u + 440 = -i. What are the prime factors of u?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14472 divided by -24?\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*c + 131*c - 12*l = 5*l + 131, 4*c + 3*l + 4 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194541404.\nAnswer: 2, 3, 7, 290219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10853.999994989 - -10854. What is i rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96878237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from {u: 5, i: 12, k: 1}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -283836 - -534455. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 = -10*s. Let q be -25*(((-84)\/(-5))\/s - 2). Let d = -69 + q. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 25*p + 748. Give z(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12569287*a*f**3 + 3403*a*f + 84*a - 4*f**2 wrt f?\nAnswer: 75415722*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2574 and 1209492?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.088664?\nAnswer: 0.0088664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110766 divided by -18461.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (9 + 0 + 0) - -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 1820.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 6:03 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 6 - (-4)\/(-2). Let n be (-310)\/18 + d\/18. Let k(j) = 4*j - 7. Let b(u) = -11*u + 20. Give n*k(z) - 6*b(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p = -2. Suppose p*n - 9 = 1. What is the greatest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/((-12)\/3) - 1 - 126\/33. What is the nearest to 59 in 5, m, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 3, -i + 2*i - 4*y + 4 = 0. Suppose 10 = 3*u - 11. Let t = u + i. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-12)*384\/120*81\/(-12).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40044 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4188518 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1409, 1412, 1415?\nAnswer: 1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1222 - -746. Does y = -476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3530 is divided by 215.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 504ab9 (base 16) in base 9?\nAnswer: 10810106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3036 (base 7) to base 3.\nAnswer: 1110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -792 = -0*z - 4*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 353458601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = v + 5*r, r + 517 = 4*v + 4*r. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 2723565?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 480, 4161, 14146, 33585, 65628, 113425, 180126?\nAnswer: 268881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.1 - 8.1. Suppose 4*s - 8 = -4. Which is bigger: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/1)\/1)\/((20\/230)\/(236\/4071))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 38*y**2 - 37*y + 52. Let z be r(37). Calculate the highest common divisor of z and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63, 161, 295, 483, 743?\n\"Answer: 3*m**3 + 77*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334867.\nAnswer: 13, 25759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.36 + 17. Let f = d + -0.04. Let i = f - -1.4. Which is the nearest to 0? (a) -8 (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 438\/14125 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-100)\/(-9)*2016\/448?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -590316.87?\nAnswer: -590316.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5059984, -10119968, -15179952?\nAnswer: -20239936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32814 and 1.\nAnswer: 32814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 20. Suppose s + 1 = -d - 2*d, -3*s = -b*d - 52. Calculate the least common multiple of s and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565221731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/512 and 101\/7680?\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.13719 (b) 13 (c) 4 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - 68. Suppose x = d, 3*i + 4*d - 2 = 12. Solve 4\/3*r**i + 0 + 2\/3*r**3 - 2*r = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 291332*f**3*w**2 + 9*f**3*x**2 - 514*f**3*x - 5*f**2*x**2 - f*w - w**5*x**2 - 9*w wrt w?\nAnswer: 582664*f**3 - 20*w**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 * 9138.\nAnswer: -383796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.2, 3152, 0.3, 1, 2\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/6 - (5 - (-23)\/((-299)\/26)). Let i(t) be the first derivative of -24*t - 10 - 1\/2*t**4 + 8*t**2 + v*t**3. Solve i(m) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362\/(-8) - (20 + 15120\/(-252)).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1315)\/(-1364) + (-2)\/11. Let j = 1\/31 - i. Suppose -4*w = 11 + 9. What is the third biggest value in 4, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - (-1 - 3)) + 3. Let m be x\/(-8) + (-100)\/(-16). Suppose 0 = s - m*s + 1055. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8*n - 1. Let i(q) = -q - 1. Give 6*i(x) + v(x).\nAnswer: 2*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 34*m**3 - 8498*m**2 - 508*m + 2021. Determine v(250).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57.89127 + 57.86. Round v to three decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/45 + 2\/45.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7229 - -3\nAnswer: 7232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.98 - -1.98. Let t = -8 + 11\/2. Let g = 2\/5 - 3\/20. Which is the second biggest value? (a) g (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - u**2 + 2*u + 1. Let p be a(-2). Let c be (p\/(-3))\/(5\/(-165)). Let x = 1 + 1. Solve 0 = -x*i - 3 + c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 71*v**2 + 7 - 3.\nAnswer: 71*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-41691)\/13898)\/((-27)\/(-36)). Which is the smallest value? (a) k (b) 1\/9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -11. Let a(k) = -2*k + 23. What is the remainder when j is divided by a(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = 57*j + 24*j - 138 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-100))\/((-4)\/(-56)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*k**5 + 4637*k**2 + k**4 - k - 4637*k**2 wrt k.\nAnswer: -1120*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327685 = 14505*u + 117867 + 1254178 for u.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 7*d + 45. What is the remainder when d is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.9 + 5. Let t = 0.0258 + 1.9742. Sort z, 11, t in ascending order.\nAnswer: z, t, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 5:17 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 3*v - 65 = -12*a, a - 3*v = 13. What is the highest common divisor of a and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/(-63) + (-195620090)\/(-14). Let t = -7127136 - v. Round t to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54\/59, -0.4, -4, -108, 0 in increasing order.\nAnswer: -108, -4, -54\/59, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 25*r**2 - 542*r - 5225. Determine x(-10).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 4*r + 1. Let v be s(6). Let c = 1 + 1. Suppose 3*t = -4*k - c*t + 125, t = -2*k + v. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Suppose u*t = -4*y + 64, -4*t + 8*t - 193 = 5*y. What is the remainder when t is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {t: 10, x: 4, u: 3, q: 2}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 - -2. Let r = -4.94813 + -0.00487. Let i = 0.047 - r. Which is the closest to 0? (a) i (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 * -4.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (-3 - -11) + 1. Let o(b) = 2*b - 5. Give o(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 547, 1087, 1599, 2065, 2467, 2787?\n\"Answer: -3*s**3 + 4*s**2 + 549*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 484371560 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0 = -5. Let z(f) = 2*f**3 - 5*f**2 + 3*f. Let s(h) = -7*h**2 - 5*h + 16*h**2 + 0*h - 3*h**3. What is n*z(j) + 3*s(j)?\nAnswer: j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6 - 1. Suppose 0*y - 35 = f*y. Let j(x) = x**2 + 2*x + 5. Let r be j(y). Calculate the greatest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from owrforqqx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-230)\/6)\/23)\/(25\/255).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 - 16*q + 4. Suppose -6*m = -2 + 20. Calculate the least common multiple of 5 and r(m).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdbdzbjdjdvbdddddsvd. What is prob of sequence svzj?\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68 + 68 - 109 - 2*z to the form p + u*z and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-2\/3))**(-1\/17)*g**(4\/3)*g*g**0)\/((g\/g**(1\/2))**(-44))**(-3) assuming g is positive.\nAnswer: g**(-3251\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18470630?\nAnswer: 2, 5, 1091, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m**2 - 8*m + 14019. What is the tens digit of w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Let s = -22.1 + 19. Let z = t + s. Which is the nearest to 0.1? (a) 1\/4 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 7*c + 117. Let m be ((-1)\/c)\/(7\/(-14)). Let j = -3 - -3. What is the third biggest value in m, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178176 and 6722304.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -214*m + 66*m - 5624 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - k**2)*(-4*k + k + k) + (-4*k**2 + k**2 + 2*k**2)*(4*k - 2*k + 0*k) - 2*k**2 + 2*k**2 + 11*k**3 + 2*k**3 - 3*k + 3*k.\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 219203 and 219403 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 57681?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -39*u + 182*u - 1617 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/131 (b) -2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5550, -5526, -5502, -5478, -5454?\n\"Answer: 24*g - 5574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -42*u. Let n(s) be the third derivative of 1\/30*s**5 + 0*s + 0*s**3 + 0 + 26*s**2 + 0*s**4. Calculate n(q(z)).\nAnswer: 3528*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 483326847?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148 + -156 + (1 - (-6 + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 75*y**4 - 181*y**2 + 25*y**4 + 41*y - 3 + 235*y**3.\nAnswer: (y + 3)*(4*y - 1)*(5*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**3 - 2*o**2 - o + 1. Let k be r(1). Put 4\/3, -0.05, k in increasing order.\nAnswer: -0.05, 4\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 - (-8 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + sqrt(735)\/sqrt(3))**2 + sqrt(1280) + -1 + 0)*-3.\nAnswer: -1617 - 468*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfhhhfyvhyhsshsfyfu. What is prob of sequence sy?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v = -107 + 14 - 61 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120799.44 nanoseconds to minutes.\nAnswer: 0.000002013324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 10 = 2*y. Suppose o + 0*p = -p, -2*p = -o + y. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/21476 and 35\/5668.\nAnswer: 2340884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4 = -3*f. Suppose n - 6 = -f*n. Suppose -i + 2*m = -7 - 1, -m + 1 = n*i. Solve 5*d + 15 = i*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -479, -466, -439, -392, -319?\n\"Answer: f**3 + f**2 + 3*f - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653230 = 2903*j - 2898*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v + 3*a - 5 = 0, -3*a = -3*v - 15. Let y be 4\/((-3)\/(-2) + -1). Let u be 6\/y + (-57)\/12. Is v > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 23. Solve -2*y - h*x = -14, 15 = 5*y + x - 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**3 - 5*k**2 - 8. Let i(h) = 0*h**2 - 3*h**2 + h**3 + 3*h**3 - 5. Let d = -1531 - -1536. Calculate d*v(o) - 8*i(o).\nAnswer: -2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-182)\/4)\/((-1230)\/369*6\/40).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25176 times -5?\nAnswer: -125880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 4*f - f)*(-4 - f + 6 - f).\nAnswer: 6*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64.2? (a) 2\/3 (b) 1\/4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -4*h - 8, 978*m = 982*m - 3*h - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.75 + 0.05. Let o = q - 2. Which is the third smallest value? (a) -4 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115116 divided by 1945\nAnswer: 115116\/1945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -28*s - 25. Does 8 divide l(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*h - 2002526 = -67*h. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 4*c**2 - 5*c + 4. Let q be f(-5). Find the third derivative of 2*d**2 + 3*d**2 + 2*d**4 + 4*d**q - 3*d**4 wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -10. Suppose -f = t*f. Put f, 5, -1 in descending order.\nAnswer: 5, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -76*l + 3648. Let o be d(47). Solve 0 = -3*f + i + 3, 85 - o = f - 3*i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22\/5 + 49\/10. Solve -1\/2*a**2 + 1\/2*a**3 - t*a + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6314 is divided by 79.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820455387.\nAnswer: 3, 41, 6670369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 3*u - 3*u)*(4 - 6 - 2*u**3 - 4*u**3).\nAnswer: 6*u**4 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -15*o**3 + 4*o**2 + 451*o - 2233. Determine b(5).\nAnswer: -1753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j - 50. Let u be o(18). Find the third derivative of 4*m**4 + u*m**4 + 3*m**4 + 3*m**3 + 27*m**2 - 8*m**4 + m wrt m.\nAnswer: 72*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**5 - 150840*j**4 - 1508000*j**3.\nAnswer: -4*j**3*(j + 10)*(j + 37700)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -698 times 7?\nAnswer: -4886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*h - 87 = -188*h. Suppose 0 = a + 3 - 7, -3*s + 22 = a. What is the remainder when h is divided by (4\/3)\/(4\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -235 - -232. Let o(y) = y - 9. Let h be o(10). Let z be (10\/(-3) + 2)\/h. Which is the biggest value? (a) -0.3 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = h, 2*h + 4*k = -h - 4. Solve 0 = 3*y - h*y - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -21952*u**3 - 7*u**2 - 7. Let w(s) = -10975*s**3 - 4*s**2 - 4. Give 4*h(m) - 7*w(m).\nAnswer: -10983*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 4*n - 4. Let p be j(2). Let s(y) = -y**3 + 20*y**2 + y + 33. What is the tens digit of s(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4, g = -o - 2*o - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1496\/9, -127?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-18) - (-749)\/(-6). Suppose 118 + 134 = 2*a + 2*x, 0 = 3*a + 2*x - 378. Let u = q + a. Solve 0*i - u = -4*i - d, 4*d = -3*i + 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*h**3 - 37*h**3 + 75*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*d + 183 = 704, -d + 215 = 2*p. Let f(m) = m**3 + 4*m**2 + 7*m + 9. Let j be f(-6). Calculate the remainder when p is divided by 1 + (-1)\/(3\/j).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288\/(-45) - 1\/(15\/(-6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 6*g. Give n(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -253 - -257. Suppose -2*o = -5*m - 27 + 8, n*m = -o - 10. Solve -6 = -z - o*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 20 = -30 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/2 (c) 952 (d) 21776\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -339 (b) 2442 (c) -0.1 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -322 - -323. Which is the third biggest value? (a) 2\/3 (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 7:47 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u - 20. Let a be f(10). What is the greatest common factor of 5290 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*j - 31, -19*j + 20*j = -2*m + 8. Suppose -k + 5*f = 20, -m*f = -7*k + 3*k - 20. Sort 2, -19, k in descending order.\nAnswer: 2, k, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 22 - 20 = 0. Let z be (4 - d) + (2 - 3). Let s be (-1 - -5)\/(11\/(-6)). Which is smaller: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2068?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 14. Let v = -60 - -63. Suppose -4*x - 13 = h, x - v*x - j = 0. Let f(n) = -3*n**2 + n + 2. Let a(i) = -4*i**2 + 2*i + 2. What is h*f(r) - 2*a(r)?\nAnswer: -r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 3.5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, j: 6, c: 5}. What is prob of sequence crc?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 134?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 299866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 1 + 29 + -21 - 6 - -21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - m**2 + 2*m**4 + 0 - 2*m**2 + 12*m**2 to w + s*m + j*m**3 + o*m**2 + n*m**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.01765*-0.002.\nAnswer: 0.0040353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2427 + 113537?\nAnswer: 111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 232 + 214?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 - 62. Let f(x) = -w*x + 5 - 18 + 8 + 2. Determine f(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 b, and 1 r when three letters picked without replacement from bbprpbpopppoppvboboo.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-3 - 130\/(-30))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270017 = 21*z - 20*z - 3*d, 5*z = -4*d + 1350009. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 15*l. Let o(x) = -505*x + 22. Calculate o(k(v)).\nAnswer: -7575*v + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**2 - 169152*d + 169156 = 0.\nAnswer: -42289, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 12 = 6*a. Let u be (16\/(-4))\/((-9)\/a). Determine f so that 1\/3*f**2 + 4\/3 + u*f = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from sosssonnsnnosssnossn?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnrdojjd. What is prob of picking 1 o, 1 j, and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2212*u**3*z**2 - 2*u**3 - 2*u**2*z**2 - 17*u*z**2 - 140*u wrt u?\nAnswer: -13272*u*z**2 - 12*u - 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 504, 1796, 4332, 8532, 14816, 23604?\n\"Answer: 70*j**3 - 8*j**2 + 2*j - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3154, -3, -938.\nAnswer: -3154, -938, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/i)\/i**(-1)*(i**9*i)\/((i*i**17*i)\/i*i) assuming i is positive.\nAnswer: i**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7704769 is divided by 2017?\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 29, 31?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -3247b78?\nAnswer: 3247b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.100834 rounded to four dps?\nAnswer: 0.1008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (9098\/(-3))\/((-5)\/105*(-154)\/(-44))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - 0.8. Let m be (-21)\/(-20)*3260\/24. Let o = -143 + m. Which is the fourth smallest value? (a) 4 (b) -1 (c) o (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 9 = 37 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/((u*u\/u**(-4\/13))\/u*u)*u*u)\/u*u\/(u*u**4) assuming u is positive.\nAnswer: u**(-30\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000300205 rounded to 7 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.4, 1853, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**5\/20 - 5*u**4\/12 + 5*u**3\/6 - 5*u**2\/2 - 3*u. What is the smallest common multiple of 20 and y(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**6 + 1187329*r**3*v - r**2*v - r**2 - 826*r*v + 440*r - 2*v wrt r.\nAnswer: -240*r**3 + 7123974*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -62.67 in -0.77, -2\/3, 4?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.022590037194 and -545?\nAnswer: 545.022590037194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 277171000 to the nearest 1000000.\nAnswer: 277000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 + 58*t**2 + 21*t + 37. Calculate z(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*y = -493*y + 84 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 i when four letters picked without replacement from vvvinvidvivvdvvvnviv?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-715)\/(-35) - (-8)\/14. What is the greatest common divisor of s and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 3. Let g(h) = -432*h**2 - 2*h + 9. Give g(z) + 3*l(z).\nAnswer: -435*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**2 - 6*f + 14. Let h be v(-6). Let n = h - -187. Suppose -12 = 5*g - n. Solve -k - 2*k = g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 42*y**2 + 3*y - 3. Let d be f(2). Suppose 0*z - 98 = -2*z - 2*x, 3*x = 3*z - d. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gagkkaaggkg. What is prob of sequence kk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/20)\/((-15)\/25). Find x, given that -1\/4*x**c + 1\/8*x**4 - 1\/8*x**5 - 1\/8*x + 1\/4*x**3 + 1\/8 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 113 - 13. Suppose -5*a + 17 = v. Let x = 12 - 11.7. What is the third biggest value in 1\/3, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18069386 at most as big as 18069386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 + 78*d - 25. Let o be b(25). Suppose o*j = 32*j + 144. Let v(h) = -h**3 + 9*h**2 - 10*h. Calculate v(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/4*2)\/((-3)\/4). Solve 0 + 13\/3*q**3 + 4\/3*q + 4*q**g + 2*q**4 + 1\/3*q**5 = 0 for q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 3*v**2 - 5*v - 7. Determine p(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1215*u + 229. Is w(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y - 6. Let x be m(-3). What is the remainder when (6 - (-32)\/(-6)) + 400\/x is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-14\/5)\/(l*(l*(l*(l\/l**(-10\/7))\/l*l)\/l)\/l) assuming l is positive.\nAnswer: l**(-218\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 3*l**3 - 24*l**2 - 28*l.\nAnswer: l*(l - 7)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w*((w\/w**(-1\/9))\/w)\/w)\/w)\/w)\/((w**(-7)*w)\/w*w))**(2\/39)*(w\/(w*w**(-1\/4)*w*w))**(-1\/15)*w**6*w*w**4 assuming w is positive.\nAnswer: w**(79879\/7020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8641.\nAnswer: 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5 and -22\/359.\nAnswer: 1795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-6)*(-106)\/3. Let i = l - 157\/3. Let v = -0.8 - -1. Which is the nearest to i? (a) v (b) 2\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(833) - 1*(sqrt(833) - (sqrt(833) + 1))) + -5*(-1*sqrt(833) - sqrt(833))))**2.\nAnswer: 5544*sqrt(17) + 3628584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1792 or 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {t: 1, u: 3, h: 1, n: 1, q: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 175*t**2 - 17*t + 1. Let f = 132 + -134. What is the hundreds digit of b(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433710 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 14. Let w = m + -12. Is -13 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 434?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 - 1122*b**2 + 1121*b**2 + 1 - 4*b - b**3 + (0*b**2 + 2*b**2 + b**2)*(b - 5*b + 2*b).\nAnswer: -3*b**3 - b**2 - 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/40)\/k)\/k)\/k)**(-15\/8) assuming k is positive.\nAnswer: k**(357\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -229, -18 in decreasing order.\nAnswer: -4\/7, -18, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 1:32 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 10 = 7*d, 0 = -3*f - 5*d - 34 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.871847us to minutes.\nAnswer: 0.00000043119745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1009*h**4 - 210*h + 1?\nAnswer: -12108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**5 + 116*s**4 + 412*s**3 + 300*s**2 = 0. What is s?\nAnswer: -25, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -167 - -163. Let u(h) = h**2 + h - 4. Calculate u(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7289994*z**4 + 5237507*z wrt z?\nAnswer: 87479928*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001219343 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-28))\/(60\/96) - 4\/(-14)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15972 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + w + w)*(-w + 3*w - w) - 26*w**2 + w**2 + 31*w**2 + 108 + 7*w.\nAnswer: 4*w**2 + 7*w + 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 620 and 2227660.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 457.79382 + -2975.4?\nAnswer: -2517.60618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13.813+-0.3\nAnswer: -14.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 - 41?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/103? (a) -3 (b) 50 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 442\/(-39)) + (-33)\/18?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -895 divided by 22?\nAnswer: -895\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18174 plus 0?\nAnswer: 18174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 7.2, 2\/7 in ascending order.\nAnswer: 2\/7, 3\/4, 7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from tvtxvvvxvtx?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11114, 22518, 33966, 45464, 57018, 68634?\n\"Answer: g**3 + 16*g**2 + 11349*g - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57*l - 27*l + 47*l)*(0*l + l**2 + l + l**2) to g*l + u + m*l**2 + n*l**3 and give n.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34\/19451 - 3958243\/5543535. Let n = g - 5\/57. Let x(s) = s**3 - 5*s**2 - 2*s + 10. Let q be x(5). Is n greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 5\/7, 2.2, 2279?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645 - 195 = -22*z - 4. Calculate the highest common divisor of 23693 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/4 + 39*k\/4 = 0.\nAnswer: 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t - 4. Suppose 0 = -6*m - 552 + 570. Let h(i) be the third derivative of i**4\/6 - i**3\/2 + i**2. Give m*w(u) - 4*h(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*2*-5 + sqrt(833)*1 + -5 + sqrt(833))**2.\nAnswer: 560*sqrt(17) + 53337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/425 and 23\/80.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 47 + 74\/3*y**2 - 14*y**3 - 32\/3*y. Factor t(g).\nAnswer: -2*(7*g - 2)*(9*g - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(85)\/sqrt(5) + sqrt(17) + -5)**2 - ((sqrt(17) - (sqrt(170) - (sqrt(170)*-1 + sqrt(170)))\/sqrt(10)) + 1).\nAnswer: -100*sqrt(17) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -0.7. Let u = f + -0.4. Which is the second smallest value? (a) -5 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 91\/2187 or 0?\nAnswer: 91\/2187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 10*r + 3. Let s be w(10). Suppose -2*a + 2*b + 5 = 1, -b - 10 = s*a. Which is smaller: a or -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 79*c - 14. Let n(m) = 244*m - 44. Determine 16*i(v) - 5*n(v).\nAnswer: 44*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 133.3. Let h = q + 4.3. Let i = h + 123.7. Round i to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 - 2*m**3 + 4*m**4 + 3*m**4 + (-5*m**2 + m**2 + 2*m**2)*(2*m**2 - m + m).\nAnswer: m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 7, e: 7, i: 2, w: 1}. Give prob of sequence reie.\nAnswer: 49\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 13.7. Let l = -6 + g. Let o = 0.3 - l. Which is the closest to 0? (a) o (b) -5\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*j + 0)*(-2 + 4 - 5) + j + 3*j - 2*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -294440 and 36.\nAnswer: -10599840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 0.271?\nAnswer: 1.897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 6426 = -9*g. Does 28 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 6. Let b be (-16)\/(-3) + c\/(-9). Suppose l - b = -l. Which is smaller: 5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 904021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -277891165\/18 != -15438398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -35, -2\/11, 5, 1?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**2 + 19*d - 15. Let k(n) = -n**2 - 5*n + 4. Let h(x) = 9*k(x) + 2*s(x). Let z be h(6). Suppose 5*c - 20 = -z. Solve c*y - 2*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8854, -8885, -8938, -9025, -9158, -9349?\n\"Answer: -2*o**3 + o**2 - 20*o - 8833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/19, -0.4, -18?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3*-1*-3. Let x = -4 + d. Let y be 4 - x\/(5\/(-2)). Which is smaller: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*n**4 + 3 + (-n + n + 4*n**4 + (2*n**2 + 3 - 3)*(2*n**2 + 4 - 4) - 2*n**4 + n**4 + 0*n**4)*((1 + 7 - 2)*(4 + 2 - 5) - 2 + 5 + 4).\nAnswer: 93*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d**2 - d - 2. Let p(z) = -5*z**2 - 849 + 845 - 3*z - 6*z**2. Suppose -4 = 4*t - m + 2*m, -3*t - 3*m + 6 = 0. Calculate t*p(v) + 5*w(v).\nAnswer: -3*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001319 to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 121 - 139 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 14, 32, 56, 86, 122?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-532)\/(-6)*(-828)\/(-6). Suppose 91764 = -4*r - h. Round r to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204214?\nAnswer: 2, 102107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17688 a multiple of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6362*o**3 - 47*o**2 - 2*o - 77946 wrt o.\nAnswer: 38172*o - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k = -2*r - 18, 0 = -r + 4*k + 1. Let g(u) = u**3 + 7*u**2 + 3*u + 9. Give g(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - -0.8. Let f = -549 + 548.8. Which is the nearest to -0.3? (a) q (b) f (c) 0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95581 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: List the prime factors of 1299979969.\nAnswer: 1299979969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 2870253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/((-12)\/(-4) - 4). Suppose 2*i + f = 5*i. Suppose 3*l - 3*c + 2*c - 803 = 0, 0 = -l + i*c + 275. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from ppwpppppwpwpwwpppwp.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22881*z + 22923*z = 1008. Solve -15 = 5*f - q, 4*f + z = -q + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Suppose -3363 = -11*i - 3374. Which is the nearest to o? (a) 4 (b) i (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 517 and 2816.\nAnswer: 132352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(4 - -10) + 230\/92. Factor -38\/9*r + 2 + 22\/9*r**k - 2\/9*r**3.\nAnswer: -2*(r - 9)*(r - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*o - 154*o = 13584. List the prime factors of o.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105012 = 2*z - 44988. Round z to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 7*f = 294. Let m = f + 54. Let n = m + -93. Let x(a) = -2*a**2 + 4. Calculate x(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**9)\/b)\/b**(-2\/13))\/((b\/(b*b**(5\/6))*b)\/(b*b**(2\/7)\/b))*(b**(4\/9)*b**(-4\/3))**11 assuming b is positive.\nAnswer: b**(-30311\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 904.0488 months?\nAnswer: 7.53374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3432 and 52503.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.2. Let w = -0.05 - z. Let b = -0.35 - w. Put b, 3, -1\/3 in decreasing order.\nAnswer: 3, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86162061426\/7531945 + -1\/6025556. Let f = -11435 + x. Calculate the common denominator of -53\/38 and f.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 12*x - 24, -708*p + x - 2 = -707*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 67*o**2 + 130*o + 23. Let y be m(-65). Solve -b - 18 = -4*g, y*g - 19*g - 16 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/23))\/k**6 assuming k is positive.\nAnswer: k**(-113\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + w + 43 = 12*w, -3*x + 6*w - 4 = 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*u + 17*u. Suppose 2*t + 21 - 41 = u. Solve 13*f = t*f + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*f**2 - 72*f**2 + 159*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -175*j**3 + 2*j**2 - 6*j - 8. Let c be n(-1). Solve -49 = -168*v + c*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1377 = 1297. Suppose 3*i - v = v + 11, -p = -4*v. Solve 4*t - 15 = -i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467620999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/((-2480)\/120)*((-3)\/(-3))\/14.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 7:56 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/433, 2\/5, 5, 2\/13, -1\/2, 2?\nAnswer: 2\/433","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2103 is divided by 92?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -307 + 313. Solve 5*c + 4 + v = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -103c7 - -8?\nAnswer: -103bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f = -7 - 56. Sort 0, f, 16 in descending order.\nAnswer: 16, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86458 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 242*m + 242*m - m**2 as y*m + f + p*m**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1621 and 3242?\nAnswer: 3242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3040\/(-420))\/38)\/(6\/7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - c + 2363 = 0, -11895 = -5*s + 82*c - 77*c. What is the remainder when s is divided by 589?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 - -87. Solve -3*g + 2*k = -3 + s, 4*g = -3*k - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -639, -1276, -1913?\n\"Answer: -637*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(4\/(-8) - -1). Suppose -3*t = -b - 8. Solve 0 = -5*p + 2*p - t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 585559 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -594 - -599. Solve f*x = 10*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(-2*u**4 - 2*u**4 + 2*u**4) + (3*u**4 - 4*u**4 + 0*u**4)*(1 - 3 - 1) + (2*u**3 - 2*u**3 + u**3)*(-3 + 3 - 2*u).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 121, 122, 123, 124, 125?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*w, 4*y - 2430 = -5*w + 2*w. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1655 + 1683. What is the remainder when 253 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45053920 and 157688720?\nAnswer: 315377440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 96\/40 + 4\/(-10). Suppose k*x = 3*w + 17 + 7, 2*x + 4*w = 24. Let n be 26\/x - 6\/36. Solve 7*f - 28 = 4*f - 4*h, 8 = n*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/252*(-27)\/60*-6.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g + 7. Suppose 2*c = 5*k - 9, 5*c + 36 = -k - 0*k. Let f(s) = -s - 2. Let h(u) = c*f(u) - 2*t(u). Let m(p) = -p**2. Determine m(h(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8531087056?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 0*b**2 + 2*b**2 + 2*b**2 + 2 + b**2. Is x(2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -4*u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/((330\/(-225))\/(-11))*(-7)\/6.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 633260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -189 divided by -63\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (75\/18*-2)\/((-2)\/6). Suppose k*x = -3*x + 11032. List the prime factors of x.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/44 + 3\/198. Sort -2, 4, l in descending order.\nAnswer: 4, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1 - 15 = -3*t, -2*y = -2*t. Solve -4 = -2*g - y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/40 - (-26)\/10. Let y be (56\/(-6) - 2)*k. What is the units digit of y\/(-10) - (-6)\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/2 - -3) + -3. Solve y = -2*c + 1, -7*c + m*c + 3*y = 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9013.000024704 + -9013. What is m rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -107, 3, 30\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 0)*(2*j - 2*j + 2*j) - j - j + 3*j)*(0 + 3 - 6) - j + 2 - 2.\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 + -1. Let b = -0.8 - l. Let n = b - 0.47. Which is bigger: -1\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 401.5 + -401.6. Let r = 0.22 - 3.22. What is the closest to r in 5, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (64 - (5 - 5 - 0)). Suppose 36*y - m*y = -182. Solve -y*i - 20 = -11*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/3))**11)**(-1)*((((k\/k**1)\/k)\/k*k)**(-2\/21))**(-2) assuming k is positive.\nAnswer: k**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*o + 480*o + 3960 = 608*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241291 is divided by 81.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -229 + 154. What is the remainder when 22 is divided by 2\/(-4) - w\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132304 (base 5) to base 12.\nAnswer: 3101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, t: 7}. What is prob of sequence tt?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1066116.88 rounded to the nearest ten thousand?\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*b = -661, h - 5*b - 132 = -4*b. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122734 is divided by 9441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + ((-11688)\/(-840) - 75).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3968 and 24?\nAnswer: -95232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 - 2*h - 56. Let l(g) = 5*g**2 - g - 57. Let u(p) = 3*l(p) - 4*t(p). Let r be u(10). Solve 2*i - 20 = -r*n, -i + 24 = 3*n + 2*i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -1) + 2 + -1. Differentiate -71*f**2 + 3 + 68*f**2 + h wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1250.7 to the nearest 10.\nAnswer: -1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a - a**3 - 3*a**2 + 2*a + 0 + 5 - 4*a**2. Let f be l(-5). Let i = 35 + f. Calculate the greatest common factor of 60 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.57 + -18.07. What is the nearest to 1 in m, 0.21, -7\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 1015*x**2 + 5030*x - 8. Determine s(-5).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = d - 30, -723 = 942*d - 959*d - 3*n for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -70. Is ((-116)\/(-5))\/(4\/a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2121 - -112.0879. Let a = -112 + o. What is the third smallest value in a, -0.3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 71188*v + 711888. Give u(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**2 - 34 + 3*p**2 + 17)*(-2*p - p + 5*p).\nAnswer: -6*p**3 - 34*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66420 (base 12) to base 15.\nAnswer: 2a1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + b**3 - 3*b**3)*(31 - 15 + 11).\nAnswer: -27*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 6*a**2 - 5*a - 5. Let l(o) be the second derivative of -o**3\/6 - o**2 + 4*o. Let p be l(-7). What is w(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/160 - 29*o**5\/40 + 195*o**4\/8 + 225*o**3 - o**2 - 203*o. Suppose f(m) = 0. What is m?\nAnswer: -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 136\/(-3))*2\/(-4). Let h be 0\/((-4)\/2) - 29225\/1200. Let x = j - h. Calculate the common denominator of -137\/6 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 15*t**2 + t - 18. Let l be b(15). Let v = -51 - -66. Put l, 0.1, 3, v in decreasing order.\nAnswer: v, 3, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 22) + -12 + -1 + 13 + -8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.69 (b) 22 (c) 5034\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 454 in -0.2, -1\/2, 11\/3, -3\/2, -9?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100000010011 - 101?\nAnswer: -10010100000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48678897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64 or 2039\/588?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 2600*p + 2596.\nAnswer: 4*(p - 649)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3593 + 1535?\nAnswer: -2058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37824288 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -60852\nAnswer: 2\/15213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -407.3 + 407.3. Which is the closest to y? (a) 4\/5 (b) 0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 16.41766ms?\nAnswer: 16417.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6082697 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 + 627\/(-55) - (-3472)\/5 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 587 = -4*j + 5*m, -j - 3*m + 724 = -6*j. Let q = j + 143. Solve -2*u + 4 - 14 = q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(136) - sqrt(136)*2)*5 + sqrt(136) - sqrt(136)) + sqrt(136))\/sqrt(8) + (-4 + sqrt(1088)*-2)**2.\nAnswer: 124*sqrt(17) + 4373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4385 minus 34551075?\nAnswer: -34551076.4385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 6834*s + 13660.\nAnswer: 2*(s + 2)*(s + 3415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 96099 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**7\/210 + 43*s**6\/120 + 281*s**4\/24 + 54*s**2. What is the second derivative of t(x) wrt x?\nAnswer: 12*x**2 + 258*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9}. Give prob of picking 4 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11611866 rounded to the nearest one hundred thousand?\nAnswer: 11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*s - 12654 = s for s.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -686.1 to the nearest 10.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*(1 + (sqrt(7) - sqrt(343))*6*-4))**2.\nAnswer: 864*sqrt(7) + 145161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 10*z + 88. Calculate the smallest common multiple of 18 and z.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 11. Is -10*(14\/t - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9705453701 take away 3.4?\nAnswer: -5.3705453701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3*a + 10608 + 204, 17996 = -5*t - a. What is t rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 13. Let n be o(9). Suppose -3*x + 5*x = -n, -4*k + 4*x + 392 = 0. Suppose k = -4*i + 6*i - 2*m, -5*i - 4*m + 285 = 0. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 7407503.\nAnswer: -22222509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**6 - 7*z**3\/3 - 2. What is the third derivative of b(m) wrt m?\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 20, l + 0*i + 5*i + 14 = 0. Let j(t) = -t**3 + 10*t**2 + 11*t + 16. Let d be j(11). Solve -d = -2*x + l*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*l = -17, 5*u - l - 3*l = 5. Let i be (-1)\/u + (-1)\/2. Let h = -0.04 - -1.04. Which is the biggest value? (a) i (b) 1\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53610612 divided by 1218423.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011110111100110001010100 - -1?\nAnswer: 1000011110111100110001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 953056*k**4*m - 4*k**4 + 9*k*m + 118772031*m with respect to k.\nAnswer: 3812224*k**3*m - 16*k**3 + 9*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 26*a - 1. Let s be (1\/(-2))\/(1\/(-2)). Let q be j(s). Solve -5*p = -5*w - q, -6 = 4*w - 2*p + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-12)\/(-10) - 8397\/135. Let a = z + 87. Solve -3*i = 2*i + a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - d - 2, -2*d - 3*d + 20 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -17. Suppose 5*j + 3*y = 15, h*j + 7 = y + 2. Which is greater: j or 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -9*f + 12. Let v be (2 - -2)\/((-2)\/(-4)). Let b(n) = -v*n + 4*n**2 - 3*n**2 + 5*n. Determine b(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 71876923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*a**4*u + 63*a*u + 5653*u wrt a?\nAnswer: 52*a**3*u + 63*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 3723*m**2 - 130680*m - 650700.\nAnswer: -3*(m + 6)*(m + 30)*(m + 1205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7171*c**4 - 2*c**3 - 104546*c wrt c.\nAnswer: -86052*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -178*i**2 + 4*i**4 + 15 + 359*i**2 - 2*i**4 - 183*i**2 + 8*i + 2*i**3 as d*i + k + q*i**4 + x*i**3 + b*i**2 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**2 - 228*f + 98. Let a be w(-46). Solve -a*r - 8*r = -14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186 by -1.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1356?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wws when three letters picked without replacement from {w: 2, q: 1, s: 1, u: 5, p: 6}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1229, -2147, -10121, -22693, -39863, -61631, -87997?\nAnswer: -118961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1257, -0.4, -2 in descending order.\nAnswer: 2\/1257, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**5 + 9*q**4 - 7*q**3 - 5*q**2 - 5. Let i(s) = 2*s**5 + 5*s**4 - 4*s**3 - 3*s**2 - 3. Let g(k) = 6*a(k) - 10*i(k). Factor g(y).\nAnswer: -2*y**3*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*l - 17 = 0, 4*g - 3*l - 2*l + 17 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4719677 millilitres?\nAnswer: 0.0004719677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1048520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 9153.\nAnswer: 9153.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7253 + 9?\nAnswer: -7246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 23 + 29 = 0, -5*f + 4*c + 63 = 0. Suppose 0 = m + 5*n - 376, -728 = -2*m + 13*n - f*n. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 494158 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.6 + 16. Let q = -105 + -12. Let c = -821\/7 - q. What is the smallest value in v, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 1 + -3)\/1. Suppose r = 2*o + m - 11, o - 3*m + 12 = 4*o. What is the common denominator of 2\/o + 1018\/112 and -91\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3018, 3006, 2994, 2982, 2970?\nAnswer: 2958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u**2 - 368*u + 33. Calculate f(-62).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70500 and 1200?\nAnswer: 282000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 879756039 to the power of 1\/2, to the nearest integer?\nAnswer: 29661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*a + 64*a - 2*c + 20 = 0, -4*a + 74 = 2*c. Suppose -205 = -2*k - 3*k. Calculate the remainder when k is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (1*(sqrt(704) + sqrt(704)*-4 + sqrt(704)) + sqrt(704))*5 + -2).\nAnswer: -40*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/2*5\/((-425)\/(-153))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 54941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - (-2*sqrt(110) + sqrt(110)))*-3)\/(sqrt(10) + sqrt(40)*4) + -3 + -1)**2.\nAnswer: 16*sqrt(11)\/3 + 188\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 3\/(-5 + 2). Suppose 8 = 4*f, c*a - 6 = -2*f + 10. Let d = 7 + a. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 397*n**3 - 392*n**2 + 4*n + 8. Let k(i) = 1192*i**3 - 1176*i**2 + 11*i + 22. Let h(t) = 4*k(t) - 11*w(t). Find the third derivative of h(o) wrt o.\nAnswer: 2406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3379 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 8.2. Let t = -0.35 + -0.05. What is the closest to -1 in n, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -713786, -713859, -713924, -713975, -714006, -714011?\n\"Answer: x**3 - 2*x**2 - 74*x - 713711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -75053, -74768, -74039, -72644, -70361, -66968, -62243?\n\"Answer: 37*u**3 + 26*u - 75116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7715440, -7715439, -7715436, -7715431, -7715424, -7715415, -7715404?\n\"Answer: y**2 - 2*y - 7715439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145556.\nAnswer: 2, 36389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 25021200 to the nearest one hundred thousand.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 12070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41698 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -26 + 33 - (4 + 0). Suppose 3*a = -4*t - f, t - 7 - 2 = -4*a. What is the third derivative of -12*y**2 + y**2 + 0*y**3 - 15*y**a wrt y?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*sqrt(2299) - sqrt(2299)) + -6*(1*sqrt(684))**2 + 2.\nAnswer: -4102 + 264*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 326 + -326. Let l = 55 + -35. Let g be 1\/4 - 125\/l. What is the closest to g in r, 1, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**5 - 1335*u**4 - 49653*u**3 - 358665*u**2 + 49650*u + 360000 = 0.\nAnswer: -25, -10, -1, 1, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -10\/3*f**3 + 0 + 1\/6*f**4 + 0*f + 19*f**2. What is the units digit of x(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -598, 0.27, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 16*s**2 + s. Let k(v) = -9*v - 8 - 8 + 2 + 4*v. Let g be k(-6). Is 16 a factor of o(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 - -93. Suppose -4*l = a*o - 3*l - 2859, 5*l + 5 = 0. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096536 a multiple of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = -74. Let h be 912\/13 + (-6)\/l. What is the highest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 63*q - 251. What is j(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75629 is divided by 1776.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -917648*w**4 + 4*w**3 - 8*w**2 + 2327*w + 2 wrt w.\nAnswer: -22023552*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -x + 36. Let u be 2\/(-7) - 37\/(-7). Suppose u*j = -21 + 81. What is the remainder when x is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9138449*t**6 + 54831794*t**2.\nAnswer: -1096613880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f**2 - 3*f. Let v(p) = 5*p**2 - 2*p. Give -5*v(w) + 3*x(w).\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2)*(4960\/70)\/(-8)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94958621 and 2481.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 153*f - 1826. Let o be u(12). Suppose -5*s = -2*a - 16, -5*s = -a - 8 - 5. Let n(v) = o + v**s - 10*v + 20*v - 8. Determine n(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.2259 and -84.2?\nAnswer: 187.42078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 64255*j**3 + 209076000*j**2 + 16913514240*j.\nAnswer: 5*j*(j + 83)*(j + 6384)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3027 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -51412, -0.6, -0.2 in increasing order.\nAnswer: -51412, -2, -0.6, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -496053 divided by 4.\nAnswer: -496053\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 853046737 and 1303?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 5*x = 54, 33120*d - 33114*d - 58 = -0*x + 4*x for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 8\/9 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 6156?\nAnswer: 104652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.5303175 to 1 decimal place.\nAnswer: -106.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/(-4)*63056\/(-33780)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 109 (base 12) to base 13\nAnswer: ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4048750 divided by -410.\nAnswer: 9875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w + 3*b - 23 - 0, -2 = -2*w - 2*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5311 + -5206. Calculate the highest common factor of 435 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*r**3 - 33*r - 149*r**2 - 49*r + 149*r**2 + 93*r.\nAnswer: 424*r**3 + 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 374.95 + -369.95. Which is the biggest value? (a) 88\/5 (b) u (c) 0.2 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 + 0.12. Which is smaller: r or 1.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18811 is divided by 14917.\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 != 20371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/202?\nAnswer: -7\/202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 231\/572 + 2\/(-8). Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + p + p + (-2 + 2 + 1)*(0 - 2*p + 0))*(2 - 2 + 2*p + (-3 + 2 - 1)*(3*p + 2*p - 7*p) + 4 - 4 - p).\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = -3*z, c - 3 = 4*z - 1. Let h(t) = -3*t**c + 1 - 1. Let g(y) be the third derivative of y**5\/30 - y**2. Calculate g(h(n)).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiwiiiwiiw. What is prob of picking 4 i?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88810501 to the nearest integer?\nAnswer: 9424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**4\/4 - j**3\/3 - 3. Let v(d) = -5*d**3 - 8*d**2 - 3. Let g(n) = v(n) - 4*w(n). What is g(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3 - o**2 - 8*o + 10*o - 2. Let u(v) = v**2 - 5*v - 10. Let x = 3 - -4. Let r be u(x). What is c(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:09 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.8 (b) -2\/75 (c) -303 (d) 48 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1323 and 3375.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 2*f = -16, 9*g - 5*g + f = 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 54 = -3*f - 2*p, -5*f = -3*p - 95. What is the highest common divisor of f and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*k + 402 = 455 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117028894 to the power of 1\/2, to the nearest integer?\nAnswer: 10818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -40. What is c rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -33*y - 1. Let b be t(-2). Let q be (-36)\/(-5) - (-52)\/b. Suppose 14 = -5*u - 2*p, 0*u - 4*p - 10 = u. Put q, 3, u in decreasing order.\nAnswer: q, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 7163273?\nAnswer: 7163277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186412103.\nAnswer: 186412103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -98 = -106295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 14*f + 4. Let m be y(-14). Suppose 25 = 5*j, 4*b + m*j - 740 = -0*j. Calculate the common denominator of (-335)\/b + (-3)\/9 and 25\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-25)\/(-192)*(-28)\/(-10). Let m be (-6)\/(-21) - (-114)\/(-448). Let z = s - m. Which is the second smallest value? (a) -2 (b) -5\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/9270 and 1\/2398.\nAnswer: 11114730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6562)\/(-8106)*(-42)\/(-7021)\nAnswer: 2\/413","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1 (c) -1\/3 (d) 61 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191\/15 - 67\/5. What is the fourth biggest value in x, -5, 12, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 4:57 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5419196 and 1552.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v - 71 = -25*v. Suppose 4*o - 403 + v = 0. Suppose 48 = 2*m - 4*d, -m + 110 = 3*m - d. Calculate the remainder when o is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -11. Let g = -85357372 + 145357372. Suppose -a*s = s - g. What is s rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 27092050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:51 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssqssssssqsssq. What is prob of picking 2 s and 1 q?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150655 - -37362355\/248. Find the common denominator of q and 85\/8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137584761186 - -137583737300.89951. Let i = x - -1023826.1. Let s = i + 59. What is s rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59549129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 16144.4mm?\nAnswer: 16144400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1931.839 and -0.01.\nAnswer: 19.31839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 813887, 3255534, 7324949, 13022132, 20347083?\nAnswer: 29299802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 10 = -5*r, -r - 3*a + 35 = 4*r. Solve -w = -r - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 5, 4, -0.073, -29, -2\/3 in ascending order.\nAnswer: -29, -2\/3, -0.073, -0.05, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42291 + 1425*c + 42291.\nAnswer: 1425*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 - (-35 - (139 + -138))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 2*m**2 + m. Let y be l(2). Suppose -17 + 3 = -y*w. Is w < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:49 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2 + 178*f - 31598963 = 0. Calculate f.\nAnswer: -5711, 5533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -699\nAnswer: -6291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -36.2. Let o = -9.8 + w. Which is the third smallest value? (a) -0.2 (b) 10\/9 (c) 2\/9 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 116*s**2 + 5*s + 11. Is u(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 8, -0.13, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from hiiiiijihhbit.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 195, 807, 1867, 3405, 5451, 8035?\n\"Answer: 5*p**3 + 194*p**2 - 5*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2922 (base 11) in base 8?\nAnswer: -7277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - 15.2. Let c = z + 4.6. Let y = c + 11. Sort y, -1, -0.2.\nAnswer: -1, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 224 = -50. Solve 6*h = 59 - t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**5 + 4*g**4 + 7*g. Let b(l) = -l**5 - l**4. Let m(t) = -4*b(t) - u(t). Find the second derivative of m(a) wrt a.\nAnswer: 200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53157427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - t**2 - 2*t - 1. Let s(b) be the first derivative of 3*b**4\/4 - b**3\/3 - b**2\/2 + b + 273. Let u(y) = 5*p(y) + 5*s(y). Factor u(g).\nAnswer: 5*g*(g - 3)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*r - 5*c - 64 = -64*r, 3*r - 2*c = 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 1\/4*b**4 + 3*b**2 + 0*b + 2\/3*b**3 + 1\/30*b**5 + 0. Factor g(f).\nAnswer: 2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1285 + h + 139 - 168.\nAnswer: h + 1256","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 108767\/4398 and 24 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.4 + 0.2. Let h = p + -2.3. Which is the closest to 0? (a) -0.5 (b) h (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i. Let w be 2 - (-3)\/(-6)*4. Let l be (1 - 1)\/(-2 - w). Let n(s) = l*s + s - 3*s. Determine y(n(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 700112 and 5922.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(99))*2 + -5*(0 + sqrt(99)))**2 + 2.\nAnswer: 144*sqrt(11) + 957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 4. Let h = 199 - 196. Suppose h*b - 5 = 7. Sort -3, y, b, -5 in decreasing order.\nAnswer: b, y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14920782.56 rounded to the nearest ten thousand?\nAnswer: -14920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 74 = 10*z, -1778*w = -1786*w + 2*z + 94 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 2 = -16*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25 + -4 + 2 + -1. Solve 2*r + 2 = -3*a, -4*r - p = -5*a - r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1559, 1929, 2325, 2741, 3171, 3609, 4049, 4485?\nAnswer: 4911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*d = 0, -2*g = -2*d + d. Let k(v) be the first derivative of -3 + 0*v - 1\/3*v**3 + g*v**2. Suppose k(n) = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + 0 + (3 + sqrt(98) - sqrt(98))**2 - (sqrt(98) + (sqrt(98) + 1)**2*6)*-4).\nAnswer: 364*sqrt(2) + 2392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15 + 10 + 16 - 67*k + 9 wrt k?\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 440987.3 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -5*g + 9, 577*f - g + 6 = 579*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 29198 times -0.10004\nAnswer: -2920.96792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**4\/24 + 6*l**3 - 2*l**2. Let z be k(25). Solve -20 = -15*p + z*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -1)*(4 + -827). Let v = 88 + l. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 49*z**3\/3 + z**2\/2 + 3870*z. Let t(s) = -57*s**2. What is h(t(g))?\nAnswer: -5586*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*((sqrt(200) - 2*(0 + sqrt(200)) - sqrt(200) - (sqrt(200) + (sqrt(200) + 1)*-6))**2 - (-3 + sqrt(200) + 1 + sqrt(200) + 1)**2).\nAnswer: -8280 - 3200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6676*0.5.\nAnswer: -3338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 + 135 - 64)*(-6 + 1 + 2*o + 3) to n*o + s and give s.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2082 - 2407 + 5*h + 24*h + 6902 - 2413.\nAnswer: 29*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1295*o - 237*o + 844*o.\nAnswer: 1902*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91552 divided by -96.\nAnswer: 2861\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - s + 20 = 0, 6*m + 134*s - 129*s = 105 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 3*b. Let f(q) = -1289*q**2 - 6*q + 486. Let s(m) = 2*f(m) - 4*v(m). What is the first derivative of s(w) wrt w?\nAnswer: -5172*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -63989*m. Let p(r) = -2*r. What is p(v(u))?\nAnswer: 127978*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6. Let l(x) = -x - 2. Let a(z) = 6*d(z) + 9*l(z). Let r(y) = 11*y - 20. Let s(u) = -4*a(u) - 3*r(u). Determine s(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, 2875, -0.3, 7, -0.2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 3*b - 6. Let h be v(-5). Let i = 21 - h. What is the greatest common divisor of i and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11136\/(-448) - -27 - (-6)\/7. Solve -4\/5*g**4 + 8\/5*g**2 + 0*g + 0*g**c - 4\/5 = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.1 + -0.1. Let v = w - 2.4. Let h = -2.9 + -1.1. Which is the closest to 0.1? (a) -1\/3 (b) v (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {s: 2, v: 4, c: 2, f: 7, n: 4, i: 1}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -409 and 131.7.\nAnswer: -53865.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34193702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-667)\/(-1102) - 1\/2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h. Let q(l) = 7*l**2 + 6540*l + 52. Give q(w(v)).\nAnswer: 63*v**2 - 19620*v + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108576 by 2262.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -19 + 25 - (3 - 3\/(-3)). Let z(j) = -7*j + 9. Give z(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -46, 0.1, -0.7, 1\/5, 0?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f + 10. Let d(l) = l**3 + 6*l**2 + 8. Let n be d(-6). Solve 0*m = -f*m + n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 13, 18, 15, -2, -39?\n\"Answer: -v**3 + 5*v**2 - v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -245*o**5 - 5845*o**4 - 10265*o**3 - 5655*o**2 - 990*o = 0.\nAnswer: -22, -1, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1311806 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*l - 168 = -66*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**4\/24 - o**3 + 4*o**2. Let x be m(-9). Which is the second smallest value? (a) 2 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -6\/21065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 806669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*d + 39, 94*d = 101*d + 9*y - 8*y + 27 - 109 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13516 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from {l: 12, b: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2342? (a) 0 (b) 163 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/7 and (-2)\/1 + 335\/(-20).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9*r**2. Let i(m) = -14755*m + 6. Calculate i(w(k)).\nAnswer: -132795*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 4*c + 24. Let j(f) = f**2 + f + 1. Let n(d) = -4*j(d) + w(d). Find s, given that n(s) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.46637 times 2?\nAnswer: 2.93274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*p + 5*p + 5*n, -2*n = 10. Suppose 0*t + 12 = -4*t, -5*s + p = 3*t. Solve 4*a + s = 8*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**3\/6 + 10*g. Let r(z) = -4*z**2. What is y(r(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2697210858?\nAnswer: 2, 3, 101, 383, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 31 = 16. Let b(p) be the first derivative of -p**4\/4 + 7*p**3\/3 - 9*p**2\/2 + 8*p - 1. What is the tens digit of b(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4528528.\nAnswer: 2, 17, 16649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 19.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*5\/(-1470))\/((-1)\/(-4))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13767958 and -10.\nAnswer: -137679580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -845*p + 1728*p - 890*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 17 = 3*u, 2*u - 9 = 7*u + 3*g. Let w = 6 + u. Suppose 4*s - w*o + o - 28 = 0, -4*s - 4*o = -4. Solve 0 = s*q - 5*p - 0*p + 30, -p = 4*q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/((-90)\/10)*10\/(-12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 30*h - 2. Let t(l) = 59*l - 4. Let g(c) = -5*a(c) + 3*t(c). Does 8 divide g(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 - 33*h**2 - 1400*h\/3 + 3200.\nAnswer: -(h - 5)*(h + 24)*(h + 80)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 41. Suppose -4*a + 24 = -3*s + 25, -4*s + 4*a = -8. Calculate the remainder when d is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*n + 15. Let o = -10 - -7. Let p = 0.24 - 0.44. What is the closest to p in -2\/3, n, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 + -3.7. Let z = 5.48 + j. Let p = -0.479959 + z. Round p to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*j = 58*j - 16. Suppose -6*z + 7*z - 16 = 0. What is the lowest common multiple of z and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 219450 and 2109800.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3477 by 1159.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)*z)\/z*z\/(z**(-7)*z)*(z*z**(2\/3))**(-1\/3) assuming z is positive.\nAnswer: z**(272\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.1362 millilitres to litres.\nAnswer: 0.0641362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1610668, -3221271, -4831872, -6442471?\nAnswer: -8053068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-3)*(-270)\/72. Suppose -48 = -3*x + 3*t, -4*x = 4*t - 56 - 40. Calculate the greatest common factor of x and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 + 4*x**2 - 65*x - 23. Let k be j(23). Suppose -9*z = -32*z + k. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**3 + 5*j**2 + 22*j - 9. Let z(k) = -2*k**3 + 4*k**2 + 19*k - 7. Give -4*x(m) + 5*z(m).\nAnswer: 2*m**3 + 7*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/1)\/(-1 + -1). What is the nearest to 1 in 3, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12405997829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2021 - -14?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 283 (base 12) to base 3\nAnswer: 112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 66 + 670. Let s(j) = j**3 + 8*j**2 - 3*j - 1. Let n = 9 - 17. Let a be s(n). Calculate the highest common factor of a and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17549179 by -19.\nAnswer: -923641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**2*r**2 + q**2*r - 4*q**2 - 4686152*q*r**2 - 216*q*r - 19*q - 3*r**2 - 4*r - 1 wrt r?\nAnswer: -8*q**2 - 9372304*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24886932 is divided by 130.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**24\/(i**(-1\/19)*i)*i**(-27)\/i*i*i**27 assuming i is positive.\nAnswer: i**(438\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 - 3503*a**2 + 10654*a**2 - 3648*a**2 - 3503*a**2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -155 - -149 - (-10 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 u when four letters picked without replacement from {s: 1, u: 1, t: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + -513?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 67*x - 2413. Let z be f(-93). What is the second biggest value in z, -8\/51, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a meter in centimeters?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1007, -1014, -1023, -1034?\n\"Answer: -h**2 - 4*h - 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596299.\nAnswer: 11, 151, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:37 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/21)*p)\/p)**(-35) assuming p is positive.\nAnswer: p**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*g**2 + 112*g**2 - 168*g**2.\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/1008*8*(16\/10 - 3)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19601, -24146, -28691, -33236?\nAnswer: -37781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 59, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 731.55 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(-3) - 1)\/(6\/(-1170)).\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = x - 20168, -z + 5*x + 1520 = 9*x. Calculate the highest common factor of 2134 and z.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 - (7 - 10 - (8 + -1) - -18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, c: 4, x: 2}. What is prob of picking 2 j and 2 c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1838\/(-100))\/(2\/15). Let w = d - -803\/5. Let h = 11675\/4 + -2900. What is the common denominator of w and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29811197?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 10) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464752053.\nAnswer: 3, 23, 733, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, -17023407, 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199106224.\nAnswer: 2, 12444139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118 + 163. Which is greater: v or 43?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 216\/(-48)*4\/(-2). Suppose m*j = 4*j + 37565. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41181429 is divided by 3743766?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcyy when four letters picked without replacement from zczzczcyyczczyc?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -398 - -392. Which is the nearest to 0? (a) -3 (b) 1\/6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - o - 20 - 1 = 0, -5*o - 1 = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*g - 56525, -100*p + 103*p - 169491 = 5*g. What is the ten thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90*a**4 + 2*a**3 + 7*a**2 - 11*a + 4 wrt a.\nAnswer: -2160*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 + -13. What is the derivative of -5 + 6 - 1 + 2 - s*j wrt j?\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 67 = -2*y, 1112*y + 2*t - 22 = 1110*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 22*u + 78. Let c be k(-25). Suppose 4*x - r = 505, 0 = -x + c*x + 3*r - 249. Calculate the remainder when x is divided by 67.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124434.171 + -124345.17099976. Let s = 89 - f. Round s to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -c - 5*w + 4, 0 = -w - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**4\/4 + 2*w**3\/3 - 3*w**2\/2 + 2*w - 1. Let v be i(-3). What is the second derivative of 0*o - o + v*o - o**5 wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1946, -2050, -2154, -2258?\nAnswer: -2362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 134 - 88. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 14*a = 16. Suppose 4*b + 32 = a*d, 9 = d - 2*b + 3. Calculate the greatest common divisor of 30 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10121001 + 11233211?\nAnswer: 1112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = 6*k - 447. Suppose 0 = 5*n - 7 + k. Let b(s) = 36*s + 18. Let v be b(n). Round v to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*p + 60 = 0. Let y = p - 15. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 7:23 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 4. Let v be 72\/33 + 14\/(-77). Let l be u(v). Suppose l*r = 4*r - 36. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4453436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 3*z**2 - 3*z - 1. Let v = 63 + -60. Determine x(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*f - 4 + 24 = 0, i = 5*f + 31. Is ((8\/i)\/1)\/((-6)\/(-11601)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/13 in 0.2, 2\/9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + sqrt(1872) + 2 + 4).\nAnswer: -48*sqrt(13) - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 40, 66, 102, 148?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 12 = 4. Let c be (4\/(-95))\/(s\/20). Let y = -0.9 + 1.9. What is the closest to y in -2\/13, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 100*u + 103*u = 31, 38*u - 34*u - 45 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 103.337 to one decimal place.\nAnswer: 103.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14618431.\nAnswer: 2239, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*((sqrt(3456) - ((2*sqrt(3456) - sqrt(3456)) + sqrt(3456)))*5 - sqrt(3456)))\/(1*sqrt(648)*-6*-2).\nAnswer: -2 + 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*j + 1751, 7*n - 1739 = -2*j + 2*n. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 400 and 400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, -7, -2 in ascending order.\nAnswer: -7, -2, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -7*i**7\/2 + 42*i**6 - 759*i**5\/5 + 120*i**4 - 32*i**3 + 27*i - 22. Let r(n) be the first derivative of d(n). Factor r(q).\nAnswer: -3*q*(q - 4)**2*(7*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-348)\/(-9)*(-45)\/(-20) is divided by 36 + 6 + 1 + -7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -861*d - 32371 + 32370 + 821*d.\nAnswer: -40*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -48*u - 7. Let w be k(-2). Find the common denominator of 0\/(-8) + (-1)\/((-52)\/w) and -44\/5.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 227*r - 386*r + 195*r in the form d*r + g and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -280162 (base 9) to base 4.\nAnswer: -221223203","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 3:31 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10435713, -10435720, -10435727, -10435734, -10435741?\nAnswer: -10435748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4534*w**4 - 1574*w**2 + 15. Let o(p) = -2266*p**4 + 788*p**2 - 9. Let k(f) = -3*i(f) - 5*o(f). Find the third derivative of k(m) wrt m.\nAnswer: -54528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020092 rounded to 5 decimal places?\nAnswer: 0.00201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 21*a**2 + 18*a - 2. Is l(-18) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*b**2 + 786 - 6*b**3 - 786 in the form s*b**3 + h + w*b**2 + n*b and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30786302*v**2 - 30786315*v**2 + 4*v - 3*v - 3*v.\nAnswer: -13*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 16, 2\/9, -3\/5, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 0*l + 12. Suppose l*u - 60 = -3*m, -5*u + 180 - 73 = -2*m. What is the highest common factor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + r**3 + 3*r**3 + 2 - 2 + r**3 + (r - 2*r + 3*r)*(1 + 2*r**2 - 1) + 2*r**3 - 3*r**3 + 0*r**3)*(5*r + 3 - 2 - 3).\nAnswer: 30*r**4 - 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.226 - 0.246. Put -2\/9, 0.032, v in decreasing order.\nAnswer: 0.032, v, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1995371736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 8. Let r be j(6). Let x be (-7)\/455*-10 - (-40)\/(-598). Sort -0.4, -1\/4, r, x in decreasing order.\nAnswer: x, -1\/4, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(2\/17)\/l*l))\/l**(3\/4)*l**7*l*l**(-2\/15)\/l assuming l is positive.\nAnswer: l**(7139\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-426114)\/4212 - ((-1089)\/54)\/(-11)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/5908 and -131\/7596.\nAnswer: 53172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48881152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*g**4\/11 + 1596*g**3\/11 + 9578*g**2\/11 + 2280*g + 2200.\nAnswer: 2*(g + 5)**2*(7*g + 22)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 329457 or 329463?\nAnswer: 329457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -6058\/21, 0, -0.0637?\nAnswer: -0.0637","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 287*k - 204*k + 329*k. Let w(q) = -2*q. Give r(w(z)).\nAnswer: -824*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -727136, -1454286, -2181446, -2908622, -3635820, -4363046?\nAnswer: -5090306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 320, -24\/5, -0.5.\nAnswer: -24\/5, -0.5, 1, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qul. Give prob of sequence uq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231544232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = -s, 0*q + s - 7 = 5*q. Let h be 1*(q + (1 - 0)). Let i = 0.06 - 0.46. Which is the nearest to h? (a) 2 (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000128384 to 7 dps.\nAnswer: 0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2. Let x = -52 - -52. Let m(h) be the first derivative of x*h**2 + 0*h - 3 + 1\/3*h**3. What is c(m(o))?\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.433 and 0.0693.\nAnswer: 1.5023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22536 and 105168.\nAnswer: 315504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*g + 128. What is the remainder when (-5 + 0)*g\/5 is divided by -1 + 4 + -2 + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 0*v + 3*k - 16 = 0, 0 = -4*v - 2*k - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + p**2 - 1. Suppose 4*f + b = 16, -5*b + 13 = -f - 4. Let n = 4 - 2. Let a(h) = n*h**2 - 4*h**2 - 1 + 5*h**2 - 2. Give f*l(o) - a(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 17, 49, 105, 191, 313, 477?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-9)*696\/58\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 199*v**3 + 6*v.\nAnswer: 199*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -830000 rounded to the nearest 10000?\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 242710477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 2262.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56106820 and 4?\nAnswer: 56106820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2453287.\nAnswer: 17, 144311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 3 + 9)*(-233*y**4 + 146*y**4 + 156*y**4).\nAnswer: -621*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k - 6. Find the second derivative of -6*n**5 - 6*n**2 + 6*n**k - 16*n + 2*n wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2360*j. Let g(h) = -5799*h. Calculate g(r(f)).\nAnswer: 13685640*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 63105*j. Let d(o) = -62*o + 1. What is d(b(c))?\nAnswer: -3912510*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -19*h**2 + 119*h - 32. Let u be n(6). What is the fourth smallest value in 4, -5, -0.15, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/12*(-315)\/(-175))\/(3\/8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 9794 = 119*i. Suppose -3*k - 218 = 2*u, u = 4*u + k + 334. Let f = i - u. Calculate the highest common factor of 145 and f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/15 - 1\/1. Let u = -1.97 - -6.97. Which is the second smallest value? (a) u (b) 2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 45*d**2 - 19*d + 9. Is w(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156)*2*2)*2)\/((-2*sqrt(192)*-1 - sqrt(192)) + sqrt(192)) + -4.\nAnswer: -4 + 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 1 + 1\/1. Let g be (24\/(-4) + 0)\/j. Is 5\/(-1)*354\/g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1220 and 141260.\nAnswer: 8616860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2700?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 31*s - 123. Let z(o) = 170*o - 615. Determine -11*q(u) + 2*z(u).\nAnswer: -u + 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 716704 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/(-20))\/(6\/16). Let b(p) = -3*p**2 + 4*p + 5. Let o(h) = 5*h**2 - 7*h - 9. Calculate u*o(i) + 7*b(i).\nAnswer: -i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 599 - 597. Let q = -0.17 + -1.83. Let x = -0.2 + 0.2. Put 0.8, x, q, h in ascending order.\nAnswer: q, x, 0.8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1365)\/34125)\/(8\/420)\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220110121 + 2?\nAnswer: 220110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = -3. Let g be (u - -58) + 3\/(-1). Does 17 divide 454\/12 - (-9)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from rzrzrrz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1)**0*(w**(-1))**(-44))**(-2\/3) assuming w is positive.\nAnswer: w**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.1. Let l = 31.12 - 39.12. What is the second smallest value in l, m, -1\/4, 2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2195, -4388, -6581, -8774?\n\"Answer: -2193*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 415 + 34?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8503\/10 + 838. Calculate the common denominator of -119\/18 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w + 3. Let y be (-14 + 5 - -12)\/1. Let d(m) = 7*m + 5. Determine y*d(g) - 5*o(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 70 - -21613?\nAnswer: 21683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -155 + -4acc?\nAnswer: -4c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 159*j**2 - 26*j**6 + 6*j**4 + j**6 + 44*j**6 wrt j.\nAnswer: 2280*j**3 + 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1136, -1133, -1130, -1127, -1124, -1121?\n\"Answer: 3*w - 1139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5123904259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046411 plus -18823662?\nAnswer: -18823661.953589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-640)\/(-64) + 274\/(-10) + 10\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -551 >= -552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v**3 + 25*v**3 + 21*v**3 - 21*v**3.\nAnswer: 41*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2430501300 + -14?\nAnswer: 2430501242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -1\/20*m**6 + 0*m**2 + 14 + 1\/84*m**7 + 0*m**3 + m - 9\/40*m**5 - 5\/24*m**4. Factor u(v).\nAnswer: v**2*(v - 5)*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*w - 225*w + 10972 = 116*w for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234786708 by 23334.\nAnswer: 10062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13286 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, j: 2, m: 5}. Give prob of sequence jmfm.\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 62 = -12*i. Let l = i + -20. Calculate the remainder when 42 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + i - 4)*(-i**3 - 853477*i**2 + 426739*i**2 - 26 - i + 426736*i**2).\nAnswer: -i**4 - 2*i**3 - i**2 - 26*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 - 260. Let a be (-22 + 11)*(j\/(-57) + -3). Is 1 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 - 1563 = 204*z + 776 + 409 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -52?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 161*v**3 + 7*v**3 - v**2 - 29*v**3 in the form q + x*v**2 + z*v + l*v**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2 - -12) + (-227 - -216)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23201 + -10?\nAnswer: 23141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 133378 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*p - 9386496 = -300*p. List the prime factors of p.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 249 = -261 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27262 is divided by 4542?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (2 + (-9)\/3). Let c be d\/((-1)\/(-2) + 0). Find the third derivative of -2*h**3 + 6*h - 2*h**c - 6*h wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k. Let t(f) = -288*f**2 + 2*f - 2. Calculate t(l(c)).\nAnswer: -1152*c**2 + 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10 - 20 - 9 - 9*y - 2*y**2 - y**2 + 2*y**2. Give d(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 16*p - 59. Calculate i(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8159246 or 8159222?\nAnswer: 8159222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 9*y + 7. Suppose 0 = -25*w + 30*w + 45. Calculate x(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 6. Let m be s(4). Suppose -212 = -3*i + 2*i + 3*u, -5*u - 425 = -m*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*c**2 + 0*c + 1\/6*c**4 + 1\/6*c**3.\nAnswer: c**3*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 21*l**3 - 5*l**2\/2 + 9*l. Is b(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -70, -101?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 2 - (5 - 17 - 10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = y + 3*n - 10, 4*y = 3*n + 25. Suppose 5*q - y - 93 = 0. What is the lowest common multiple of 9 and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 14 + 9)*(-3*t**4 + 2*t**4 - 3*t**4) as o*t + j*t**4 + d*t**3 + c + v*t**2 and give j.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*z - 4*v, 24 = -3*z - z + 4*v. Suppose 3*k = c - 3, -k + 0*k = -3*c + 9. Suppose 6*g = 4*g - 4, -3*g - 24 = c*n. Do n and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 6 - 2)*(26*g - 95 + 95).\nAnswer: -156*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.8 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/36)\/(75\/(-40)). What is the nearest to -1 in c, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 5*c - 5. Let v be m(7). Let s = 13 + v. Put 0, -4, 2, s in increasing order.\nAnswer: s, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.37 + -0.353. Let g = 0.22 - z. What is g rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 12177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**3*n*n\/(n\/n**(2\/3))*(n\/(n**7\/n))**(17\/2) assuming n is positive.\nAnswer: n**(-227\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.52 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 x when three letters picked without replacement from {a: 2, x: 2, b: 2, f: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 2*h**2 + h + 1. Let m be w(3). Let n = m - 34. Solve 2 = -4*u + i - 1, 5*u + 5*i = n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**5\/20 + m**4\/4 + 5*m**3\/3 + m**2\/2 + 3*m. Let i be k(5). Solve -4*j + 3*d = 10, -5*j + 4 = 4*d + i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17624732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 3) + -4 + (-35 - (-41 - -3))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 28\/7)\/((-2)\/(-12)). Let h(m) = -2 - 5*m**3 + 0*m**3 - m**2 + x*m**3 - 4*m**3. What is h(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, t: 2, l: 8}. What is prob of picking 3 l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/5))**(-20\/9)*(b*b\/b**(-5\/2)*b)**41 assuming b is positive.\nAnswer: b**(3995\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2032 is divided by 412.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3301609 nanoseconds in minutes?\nAnswer: 0.000000000038836015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccvcccccccccc. Give prob of sequence cv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86.83 - 87.13. Let h be (9\/18)\/((-80)\/(-21)). Let z = h + -1\/32. Sort a, 2\/9, z in ascending order.\nAnswer: a, z, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1623*-10\nAnswer: -1.623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -147961992 and 70?\nAnswer: 147962062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 1\/10, 3.1, 238, -2\/5, 51, -1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 - -88. Suppose 3*s + 4*i + 11 + 14 = 0, 0 = -r*s + 2*i - 7. Which is the nearest to -0.1? (a) 2 (b) -27 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1014 + -702. What is the highest common divisor of 39 and w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 26 = -f, 4 = 3*f - 2*t + 12. Let p be 8*(-4 - 27\/f). List the prime factors of 332\/11 - p\/22.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*r + 114. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 695125289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49099104739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c**4 - 6460*c**3 - 569785*c**2 - 7632020*c - 7068675 = 0.\nAnswer: -307\/2, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*b**2 + 52*b**2 - 924*b + 924*b - 1 to a*b**2 + y + v*b and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -2044 (c) -257\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2523326.18 + 328.\nAnswer: 2523654.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1279 + 1284. What is the remainder when 782 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + -10 + (-38)\/(-2). Suppose 0*q + 4*q + 4*o = 12, 4*q + 2*o = j. Suppose f - 152 = -5*n, -q*f - 7*n + 5*n = -737. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhe when three letters picked without replacement from {h: 5, c: 1, o: 1, d: 9, e: 4}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(2 + 0 + 2*(-12 + (-1430)\/(-80))).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19184 and 10912?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2201 - -4607. Calculate the remainder when r is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10130 is divided by 2413?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fafl when four letters picked without replacement from {m: 1, u: 4, f: 2, a: 1, l: 7}.\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -34061*g**3 + 8*g**2 + g - 28. Let r be v(-4). What is r rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-6) - 9\/2. What is the second biggest value in 3, -1\/3, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 7. What is the third biggest value in l, -1\/4, 0.27?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 417 - 2087\/5. What is the nearest to 2 in r, -0.2, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 17*n + 1. Let x(o) = -o. Let g(p) = j(p) - 6*x(p). Let q be g(4). Calculate the greatest common divisor of q and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152716 and 58108.\nAnswer: 30390484","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - -16. Let i(z) be the first derivative of -z**4\/4 + 2*z**3\/3 + z**2 + 2*z - 5. Let l be i(-4). What is the greatest common divisor of l and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 229849114*-0.3\nAnswer: -68954734.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1478*j + 1841?\nAnswer: 1478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 39*g - 1. Let c(h) be the third derivative of h**5\/30 - h**4\/12 - 74*h**2 - h - 1. Calculate c(n(m)).\nAnswer: 3042*m**2 - 234*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**7*p*p*p)\/p*p))\/p)\/p**(-7)*(p\/(p*p**2))**19 assuming p is positive.\nAnswer: p**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**0)**(4\/9))**(1\/24))**(-50))**(2\/19) assuming n is positive.\nAnswer: n**(-50\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7757 (b) 0.15 (c) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -129*p - 1. Suppose -2*o - 1 = -3. Let a be u(o). What is a rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - u. Let g be d(0). Let x be 2\/5 + (-56)\/(-35). Solve g - 2\/9*m**x + 0*m + 2\/9*m**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 221, -0.4, 0.3, 3\/77 in increasing order.\nAnswer: -0.4, 0.03, 3\/77, 0.3, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 13*b - 8. Let w be f(6). Suppose -4*c = -q + w, -c + 250 = 5*q + 4*c. Does 27 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 900.999194 + -901. What is n rounded to five dps?\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 591*s**3\/2 - 247*s - 1. Let r(j) = -2*j**2. Give r(c(x)).\nAnswer: -6287058*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 5\/6, -1\/62, 86\/11, 3\/5, -2\/5?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d - 22. Let w be r(-3). Suppose 0 = -5*u + 21 - 6. Suppose 4*x + u - 19 = 0. Solve -x*o = 16, 0 = 4*q - w*o + o + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*g + 2*g = 170, g = -3*d + 101. Let s = 39 - d. What is the smallest common multiple of s and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 2*a + 6, 13*a - 2*w = 15*a - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 - 4337*c - 4669*c - 18 + 49 to h + j*c and give j.\nAnswer: -9006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*z**3 + 230*z**2 + 535*z + 330.\nAnswer: 5*(z + 1)*(z + 6)*(5*z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.791 * 1928\nAnswer: 1525.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1188450 and 17\/3433300.\nAnswer: 30899700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (0 + -23 - -28). What is the highest common factor of 50 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5692 + 10147. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5997, 12118, 18401, 24882, 31597, 38582, 45873, 53506?\nAnswer: 61517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -13*p**3 + 2*p**2 + 2*p + 1. Let r(z) = z**2 + 6*z - 8. Let n be r(-7). Let h be n*3*(-2)\/(-6). What is the smallest common multiple of m(h) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -4, -0.3, -64?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102292 + (-19)\/((-247)\/195) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38065 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: Let w(z) = -41*z - 25. Let c(y) = 14*y + 9. Let p(b) = -7*c(b) - 2*w(b). Let o(g) = -36*g - 24. Let d(f) = -3*o(f) + 5*p(f). Let u(i) = i. Calculate d(u(q)).\nAnswer: 28*q + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0247762*-0.161.\nAnswer: 0.0039889682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16*q + 2. Let k be i(3). Let j = k - -66. What is the remainder when 113\/2 - 2\/(-4) is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59430 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ususuoufuwufs. What is prob of picking 1 f and 1 s?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4058 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9177 is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(7623) + sqrt(7623) + -3 + sqrt(7623) - ((sqrt(7623)*-3 - sqrt(7623)) + 1 + sqrt(7623) - sqrt(7623)))**2.\nAnswer: -2772*sqrt(7) + 373563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4769*t + 2233 = -4450*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -1\/8*n**3 - 7\/2*n - 5\/4*n**2 - 3 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 44 (c) -3\/5 (d) -1.3 (e) 0.0323\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(3*sqrt(10)\/sqrt(5)))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Let x be (4 - k)*-1 - 4. Let u be ((-10)\/(-4))\/((-3)\/x). Solve b = 4*t + 19, 3*t + u*b = t + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*x + 226 + 107. Which is the nearest to 1\/3? (a) -3 (b) x (c) -5 (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 2 - 5)*(0*o + 3*o**2 + 0*o) - 2*o**2 + 2*o - 2*o)*(4 + 4 - 2) as g*o + n + v*o**2 and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71270552 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.34, 0.01, 0.5.\nAnswer: 0.01, 0.5, 1.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:59 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o + 468 = 39*o. Let k be (5\/50*104)\/((-2)\/(-60)). What is the highest common divisor of o and k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19836, -158764, -535868, -1270236, -2480956?\n\"Answer: -19848*a**3 + 8*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-4 - 5) - (-13 - 18 - 12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1902 = 2*r + 4*h, 0*h - 5*h + 25 = 0. Suppose -8*s + 1109 = r. Calculate the remainder when s is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**4 - 11396*d**3 + 8167912*d**2 - 72794880*d + 145180800 = 0. Calculate d.\nAnswer: 3, 6, 1420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16422 rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x. Let i be w(-5). Let o(j) = 8*j**2 + 3*j - 1. Let g be o(1). Solve i*s = -g - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*n + 3*n. Let c(y) = -13*y + 97. Let w be c(6). Solve 6*o = -x + o - w, -12 = -4*x + n*o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.9 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(85)*-4)\/(sqrt(5)*-1*3).\nAnswer: 20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141923 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1100458 and 9.9?\nAnswer: 1100467.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 12:56 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*p**3 - 467 - 142*p**3 + 467.\nAnswer: 136*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 8*s**2 + 9*s + 6. Let k be z(-9). Suppose -k*g + 2*g = -44. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 - -68.3. Sort -4, 2, r in ascending order.\nAnswer: -4, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c - 60. Let r(b) = 6*b**2 - 16*b + 2. Let t be r(3). Let i(s) = -s**2 + 11*s - 14. Calculate the lowest common multiple of c and i(t).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - (18 + -16) - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -6 - 30) + (8\/40)\/((-21)\/(-525))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 4*g + 35, -5*g - 17 = k - 9*g. Suppose 0 = 3*p - k*n - 166842, -141681 + 30469 = -2*p - 2*n. What is p rounded to the nearest one thousand?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqaa. What is prob of sequence qaqa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kga when three letters picked without replacement from kvrga?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 276 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 - 42*l - 110*l**3 + 943*l + 1456*l**2 + 681*l + 55*l - 69*l.\nAnswer: 2*l*(l - 28)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/100 and -91\/8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppbpzpp. What is prob of sequence pb?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54038\/9 - 6004. Let g = 2.99 - -0.01. What is the fourth biggest value in 1\/4, 0.3, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - n - 5. Let o be t(-3). Let f be -2*(-1)\/o - 304\/22. What is the common denominator of 1\/18 and 3 - f\/(-36) - 0\/(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (804\/737)\/((-6)\/(-33)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (0 - -8) - (-2 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3425 + 900777\/263. Let x = v + 779\/1315. Suppose -3\/5*b + 0 - x*b**2 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 - -73. Suppose 4*o - z*o + 22 = 2*k, o = -3*k + 21. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**3 + 442125*v**2 - 442110*v - 884240 = 0?\nAnswer: -1, 2, 88424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -50. Suppose o*a = -a + 2. Suppose -5*d + 5*p + 3744 + 526 = 0, -3386 = -4*d - a*p. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4022, -14152, -30396, -52754, -81226, -115812?\n\"Answer: -3057*r**2 - 959*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 6*m**2 - 8*m - 9. Let i be c(-7). What is the remainder when 15\/25 + i\/(-5) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001630801 to 6 dps.\nAnswer: 0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24008771603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -400 + 254302432?\nAnswer: 254302032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*f*v**3 - 7*f*v**2 + 16*f*v - 4*v**4 wrt v?\nAnswer: 342*f - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 57, -7, -3 in descending order.\nAnswer: 57, -3, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 3. Let t(c) be the third derivative of c**4\/24 + c**3\/3 - c**2 - 8*c. Calculate 3*g(k) - 5*t(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3106)\/(-4)*2*(-10)\/(-10).\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-726)\/12)\/(-11) + 6\/(-12). Let l = 9 - 8. Solve p*a - 18 = 3*d, -a - 3 = 5*d - l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - k + 2)*(-3*k + k + 4*k) + (-234 + 400 - 238)*(-k + k - 2*k**2) + 5*k**2 + k**2 - k**2 in the form d + j*k**2 + q*k and give j.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2197 + 2200. What is the biggest value in -4, j, -2, 7.75?\nAnswer: 7.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(153) - -2*sqrt(153)*-2) + 2*sqrt(153)*1))\/(2*-5*(sqrt(81) - (sqrt(81) + -1*sqrt(81)))).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 3 + 10 + -9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u**2 + 21 - 5 - 7 - 2 - 10. Let t(q) = 1. Calculate -s(l) - 2*t(l).\nAnswer: 11*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 1\/572 (b) 3 (c) 0 (d) -1\/2 (e) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 12:27 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 7 = -4*u. Let r(z) = z**2 - 4*z - 9. Let y be r(u). Which is bigger: 11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2075223 and -77.\nAnswer: -159792171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94.63 + 96. Let y = 0.13 + u. Let h = y - 1.6. What is the second biggest value in h, -1, 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 - 12. Let i = 87 - a. Calculate the smallest common multiple of i and 1\/((-1)\/(-16) - 0).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*j + 2*h, -7*j - h = -2*j - 21. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40312 - -433?\nAnswer: -34324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1756 = 3*q + 22. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385645294?\nAnswer: 2, 11, 5725807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8.87820407 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11130849 is divided by 683.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12374*l**5 + 480*l**3 + 17748872*l?\nAnswer: -247480*l**3 + 2880*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/548 and -23\/4932?\nAnswer: 4932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 + 3158*t - 3158*t.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21601 + -5258. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c3 + a5?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*b**5 - 27*b**4 - b**3 + 15*b - 1404?\nAnswer: -780*b**3 - 324*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 755082 + 0.02?\nAnswer: 755082.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 588630 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/545 and -31\/400?\nAnswer: 43600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*r - 486799 = 4474*r + 96881 for r.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + v + 4*v + (2*v + v - 5*v)*(-1 + 0 + 3))*(0 + 0 + v + (1 + 0 + 1)*(v + 1 - 1)) as s + d*v**2 + k*v and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -200 - -200.0541. Let w = -13.052 - -13. Let h = y + w. Round h to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36865116*m**5 - 9326*m**2 + m - 370?\nAnswer: -2211906960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 258470 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7498 by 326.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 244938 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: Expand (2 + 1 - 1)*(d - 2*d + 0*d)*(-536 + 102 - 304).\nAnswer: 1476*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q + 103. Let j be h(14). Suppose 26*i - j*i = 15680000. What is i rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 5 - 3 + 3*f.\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + m**3 - 16 + 12 to the form i*m**2 + r + a*m**3 + w*m and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8cb9 - 5?\nAnswer: 8cb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1164 is divided by 318?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36 (b) -1\/609 (c) -0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/((-27)\/3))\/((-1)\/392) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -16. Let c(b) = b - 7. Let d be c(o). Find the third derivative of 23*r**3 - 10*r**d + r**3 + 7*r**2 wrt r.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/91 + -4\/13. Let y = -11824 - -11829. Which is the smallest value? (a) -0.1 (b) 1 (c) y (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/12)\/((-1)\/(-2)). Let s = 2 + g. Put s, -5, -4, -2 in decreasing order.\nAnswer: s, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.26 - -0.16. Is 6 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/84506434 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g**2 + 5*g + 3. Suppose -2*y = 26 - 22. Let u be b(y). Calculate the highest common divisor of u and 475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**3 + 14*q**2 + 3*q + 17. Let j(p) = -p**3 - p**2 + p. Let l(x) = -c(x) - 2*j(x). Let o be l(-6). Are 13 and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12533.81817959 and 65.\nAnswer: 12598.81817959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**2\/2 - 11421*n\/2 - 5709 = 0 for n.\nAnswer: -3806, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3486544 or 3486543?\nAnswer: 3486544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + sqrt(2))*4)**2 - (-1 + sqrt(242)).\nAnswer: -11*sqrt(2) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 960946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 7 (c) 6306 (d) 3\/5 (e) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -12*a + 35581. Suppose -12888 + a = -5*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008724 to four decimal places.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24189 + -12374. What are the prime factors of m?\nAnswer: 5, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -335 - -162. Let x = -254 - r. Let h = x - -81.00000109. What is h rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7442 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 + 79*w**2 + 90*w + 45. Is 40 a factor of m(-37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 2*a**2 - 3*a + 3. Let t = 8 - 5. Let w be b(t). Solve 0 = -x - 1, 0*x - w*x - 15 = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + (-16)\/(-4) - -11. Suppose 48 = -r + n*r. What is the third derivative of -3*p**5 - 338*p**2 + 8*p**5 + 315*p**2 + r*p**5 wrt p?\nAnswer: 660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) + (sqrt(170) + (sqrt(170)*3*-6 - sqrt(170)) - sqrt(170) - sqrt(170)) - sqrt(170)))\/(sqrt(160) + sqrt(160)*2).\nAnswer: 7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -245. Let i = 9 - 5. Is (i\/(-2))\/((-6)\/m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*(-48)\/72?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 16, 32, 60, 106, 176, 276?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 396.2 rounded to the nearest 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4310.\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n = -4*i + 61, -2*n = -5*i + 77. Suppose 17*a - i*a = 86. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -289*m**2*u**3 + m**2 - 4*u**3 - 47*u**2 wrt m.\nAnswer: -578*m*u**3 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q + 217 = -8*q. Solve -4*p = -2*j + 2, q*p - 2*p + 9 = -4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 324.5692 + 0.5308. What is x rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(24\/11)\/d)\/(d*(d*d**(-27))\/d)*(d**(-2\/43)*d)\/d*d*d*d\/(d*d**(-12)))**(2\/61) assuming d is positive.\nAnswer: d**(38914\/28853)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7426?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*q + 182682 = 210*q. What are the prime factors of q?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2950? (a) -5 (b) -0.0011 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1484 rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440) - (sqrt(1440) - (sqrt(1440) - (-3*sqrt(1440)*1 - sqrt(1440)))))\/(sqrt(40)\/(sqrt(2)*-1)).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -47 (c) -1 (d) 2 (e) 2.159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -6*a**7\/7 - 7*a**3\/3 - 7. What is the third derivative of g(r) wrt r?\nAnswer: -720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -65*r**2 + 8850*r - 1360 = 0. What is r?\nAnswer: 2\/13, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6939 + -6939.00045184. Round m to 5 dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2965 is divided by 273?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -10*o + 1 - 2*o**2 + 17*o + 3 + 3*o**2. Suppose 20 = 5*z - 5*s, -7 - 11 = -5*z + 4*s. Suppose 0 = -a + z*a + 5. What is x(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/1521398 and 91\/157386?\nAnswer: 4564194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -7)*1 + 1. Let q = 10 - n. Suppose -2*u = -1 - q. Solve -p + u = -0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2895.998017 - 2896. What is r rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.074 + -1.174. What is the closest to -0.1 in 14, g, 2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 22 = 4*q + b, 4*q = -2*b + 10. Suppose -5*i + q*h - 20 = -h, 0 = 3*i + 5*h - 12. Which is smaller: -2\/39 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/7)\/o**(-2) assuming o is positive.\nAnswer: o**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -3*g + 62 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 290009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - -1. Suppose 0 = 3*h + p, -3*d + 5*d - 2*h = 144. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 3*q**4\/8 - q**3 - 2*q**2. Let a be r(4). Solve 4*z = -3*j + j + 12, a = 5*z - 5*j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173806.\nAnswer: 2, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-2)\/(-7) + 130\/(-210)). Put k, 7, 2 in descending order.\nAnswer: 7, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 3\/((-15)\/5). Let l = 328 + -3303\/10. Find the common denominator of l and ((-1101)\/(-12) - g)*6\/81.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -210, -1\/2, -48, 0.3 in increasing order.\nAnswer: -210, -48, -1\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.6 minus -0.053731621909?\nAnswer: 12.653731621909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p - 5*s + 26, -s - 14 = -3*p. Suppose 0 = u - p*u + 85. Let z = 19 - u. Calculate the highest common factor of 12 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 37, 4, -4, 14 in descending order.\nAnswer: 37, 14, 10, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 210572585 to the power of 1\/2, to the nearest integer?\nAnswer: 14511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50439053597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*3*(-4)\/(-7)*(-1981)\/1698.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34289*u**2 - 2*u + 34305*u**2 + 2*u.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*2*(-9 - (-351)\/36). Let u = 0 - i. What is the smallest common multiple of 15 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 80 - 5*t - 80.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -134*m. Let r be (-340)\/(50\/20 + 6\/(-2)). Let p be r\/(-180) + (-2)\/9. Let t be j(p). Round t to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -2 + 7 + -150 + 139.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**4\/48 - 5*h**3\/24 - h**2\/2 - 18*h. Factor b(q).\nAnswer: -(q + 1)*(q + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*o + 6 - 72, -3*o + 3*h + 102 = 0. Let f = 14807 + -14423. What is the highest common factor of o and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(-2*sqrt(48)\/sqrt(4)) + ((sqrt(16)*2)\/sqrt(8) - ((sqrt(2)*2 - sqrt(2)) + 4)) + -5)**2*-6.\nAnswer: -489 - 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2430) - sqrt(2430)) + sqrt(2430) - sqrt(90)\/sqrt(3)*5)\/(sqrt(294) + (-3*sqrt(294) + sqrt(294))*1) + -1.\nAnswer: -4*sqrt(5)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85750 is divided by 191?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4139663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqfza. What is prob of picking 1 r and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600257 and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 25*c**5 - 5*c**4 - 16*c**3 - 4*c**2 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, -2\/7, 0.4, -23?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3933 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -12. Let c = n - -6. Which is greater: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 11:15 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 156\/344 + (-1)\/2. Is 1 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24827 - 24843. Let z = 0.5 - 0.2. Which is the nearest to h? (a) z (b) 2\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719384645?\nAnswer: 5, 7, 20553847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1602 times -0.037?\nAnswer: 0.0059274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 13*s**2 + 12*s + 7. Let b(r) = -r**3 - 10*r**2 - r + 3. Let x be b(-10). Is o(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166917?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (88 - 2)\/2*62812\/164 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 5*y - 1\/3*y**2 + 0 + 1\/18*y**4 + 5\/18*y**3 - 1\/12*y**5. Factor x(c).\nAnswer: -(c - 1)*(c + 1)*(5*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81022 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 568*c + 108*c + 149*c - 24*c.\nAnswer: 801*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**4 - 21816*u**3 - 29724292*u**2 + 59514048*u - 29767936 = 0. What is u?\nAnswer: -2728, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -206789 + 206789 + 6*s. What is m(6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cvvmvvvvvvvcvcvv.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 297 + -3264\/11. Is 1 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 22*t**2 + 56*t + 19. Let a be m(19). Solve a = 12*k - 13*k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 + 95*z**3 - 1825*z**2 + 7845*z - 10080.\nAnswer: 5*(z - 7)*(z - 3)**2*(z + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**2 - 2*w**2 - 3*w**2 + (0 + 0 - w)*(3*w - 4*w - w) + 0*w**2 - w**2 - 5*w**2 + w**2 - 2 + 2 to n*w**2 + p + x*w and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -25*m - 4. Let g(y) = -2266*y - 2261*y - 2288*y + 6939*y + 21. Give 2*g(r) + 11*l(r).\nAnswer: -27*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853509099?\nAnswer: 3, 284503033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/5 or 2\/133?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 96*i - 3. Let a be s(-12). Let q = 25431\/22 + a. What is the common denominator of -27\/10 and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -18. Suppose 4*z - w = 3*z. Suppose -6 = -z*d + 8. Solve -5*s + d = -18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685*p + 1162*p - 3712*p.\nAnswer: -3235*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 9:38 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-78)\/30 - -5 - (-6)\/10) + 14745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 57 = -3. Let z = l - -14. Let x = -1319\/55 + 119\/5. Which is bigger: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839 is divided by 834.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2228223498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 11 - 39 = 0. Suppose -s + 69 = 2*a, -2*a = -4*a - 4*s + 66. What is the greatest common factor of a and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*j + 102*j = -1032. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2736128211.\nAnswer: 3, 912042737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*v - 32 = 0, -16 = -m - 7*v + 4*v. Calculate the highest common factor of 20 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2124342 (base 5) to base 14\nAnswer: d2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 5*k**2 + 5*k - 7. What is the remainder when w(6) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -726 * -5.\nAnswer: 3630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -377 - -4?\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5 - 1220*g**4 + 274034*g**3 - 27003848*g**2 + 1018943744*g - 3660941312 = 0. Calculate g.\nAnswer: 4, 112, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**2\/5 + 8*t\/5 + 8\/5 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8514.2524 - -4.9.\nAnswer: -8509.3524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 175 or 0.2?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 656987173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4 - 2. Suppose 4*l = -5*x + 18, 3*l - 4 = r*x - l. Let i be x*(1 + 0)*1. Which is the second biggest value? (a) -5 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 688470798?\nAnswer: 688470793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z - 2*z + (3 - 4 + 11)*(-3*z + z + 4*z).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2*48\/(-8). Is 4 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - -15) + 6 - 21\/3. Calculate the greatest common divisor of 530 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 100 - 145*s**3 + 108 - 293 + 409*s**3.\nAnswer: 264*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -3, 3 in decreasing order.\nAnswer: 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 11*b**2 + 20*b - 18. Determine o(6).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 121*s - 103*s - 616464. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40905 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 75 = 4*w, 0*r - 3*r - 3 = 0. Let t(g) = g + 8. What is the lowest common multiple of t(-4) and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008284125135 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 9*g**2 + 36*g - 84. What is h(8)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.73 times -62890?\nAnswer: -423249.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -4, -26 in decreasing order.\nAnswer: -1, -2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 17*a**2 + 37*a - 75. Let c be d(15). Solve -12 + c = -6*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9874 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 708 + -678. Calculate the greatest common divisor of 170 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3396 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 40. Let q be (18\/(-12))\/(x\/(-28)). Let s be -18*(q\/(-4))\/(-7). Calculate the greatest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in -0.1, 99, -1\/6, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 11:07 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189799402 + -0.227.\nAnswer: 189799401.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**3 + 6*y**2 + 3*y. Let k = 13 - 15. Let q be w(k). Calculate the common denominator of 1298\/(-84) - q\/21 and -151\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.34 (c) 0.5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtttwdi. What is prob of picking 1 w and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8589994258 - -0.859. Round a to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 168*s - 163*s - h, -6 = s - 2*h. What is the nearest to -0.1 in -2\/7, 0.01, s, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1403*c*m*n**2 + 14*c*n - c - 184*m*n**2 - 2*n**2 + 9*n + 120 wrt m?\nAnswer: 1403*c*n**2 - 184*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d - -3a8c0?\nAnswer: 3a891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 74 + j + 132 in the form f*j + k and give k.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2\/4 + (-286)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 17624*r - 229122. Calculate k(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46\/5, -5, -11.4107 in decreasing order.\nAnswer: 46\/5, -5, -11.4107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + -45. Let v = k + -11. Solve 32 = -3*g - 4*y, y - 10 - v = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7128 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k - 19*k - 314 - k**2.\nAnswer: -k**2 - 314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-5)*(-4)\/(-6). Let t = 28 - 27.73. Let j = t + -0.27. What is the nearest to q in j, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - a + 4. Let t be l(-4). Let q(y) = -y**3 - 7*y**2 + 7*y - 1. Let d be q(t). Let w be (1 - 2) + (5 - -2). Is w less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -4. Suppose 0 = -r + 2, p = 3*p + t*r - 16. Let h(m) = m**3 + m + 1. Let v = -3 - -2. Let u(j) = 5*j**3 + 6*j + 6. Calculate p*h(x) + v*u(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**34)\/(c\/(c**(-6\/7)*c))*(c*c**(-1\/4)*c*c*c)\/c*(c\/(c\/(c*(c**(-1\/7)\/c)\/c*c)))\/c assuming c is positive.\nAnswer: c**(-129\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*q - 5*u, 0 = q - 5*u. Let r be 7\/((-28)\/(-152)) - 5. Suppose q*k = -k + r. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1860)\/(-10230))\/(138\/(-22)).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13174580 divided by 88420\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3192 and 2964?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -162*l**5 - 28908*l**4 - 1134026*l**3 - 3608192*l**2 - 1436904*l - 153504 = 0. What is l?\nAnswer: -123, -52, -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-22) + 0 - 5\/((-18480)\/144).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3dc (base 15) to base 3\nAnswer: 1012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1313*r**2\/4 + r\/2.\nAnswer: r*(1313*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3860.999993365 + -3861. What is s rounded to seven dps?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0.4 (c) -2104 (d) 0.1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73269 divided by -24423.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 7, j: 12}. What is prob of sequence yk?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 92\/(-8) + 1\/(-2). Let n = u + 14. Calculate the greatest common factor of n and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*l + 44680, 0 = 4*l + 20*k - 17*k - 35747. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5.342516 days?\nAnswer: 461593382400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, d: 1, t: 4, n: 1, m: 1}. What is prob of picking 1 m and 1 t?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2826549375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 <= -0.069573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 - (285 + -292 + 1 + 40).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3222 = 3243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*t + 191*t = -120. Calculate the greatest common divisor of 123 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 + 4*r**2 + 5*r - 4. Let s be h(-4). List the prime factors of (24\/(-14))\/((-16)\/s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 74 and 723?\nAnswer: 53502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(170) - sqrt(170)*1)*-4 + sqrt(170))\/(sqrt(60)\/sqrt(3) - sqrt(5)))\/(-5*(-1*sqrt(162)*2 - sqrt(162) - sqrt(162))*4))**2.\nAnswer: 17\/518400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 994 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 16*g - 22 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 35 (b) -5 (c) -0.4 (d) 2\/9 (e) 4\/7 (f) 9 (g) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/28)\/(2\/7). Suppose d*r - 11 = 1. Suppose -x = -h - 5, -x - h + 5 = 2*h. What is the remainder when x is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*u = -431, u = 2*y - 575 - 280. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*y**2 + 250*y + 253*y - 503*y - 68*y**2.\nAnswer: 207*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77 - 12*m**2 + m**3 - 2*m - 167 + m + m with respect to m.\nAnswer: 3*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4112*u - 1764. Let s(j) = 1373*j - 587. Let t(c) = 7*s(c) - 2*v(c). Differentiate t(d) with respect to d.\nAnswer: 1387","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/23, -1.5917?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158\/(-48) + 40\/15.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -285 + 4847\/17. Let q(r) = r**3 + 21*r**2 - 44*r + 43. Let n be q(-23). What is the smallest value in 4, w, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*g - 266*g + 8 = 0. Solve -14 + g = -12*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, f: 14}. Give prob of sequence fcc.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.01, 4245.\nAnswer: -2\/9, 0.01, 4245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**3 + 9*y - 1. Let m(c) = c**3 - 2*c. Determine -9*m(d) - 2*s(d).\nAnswer: -d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54.1 + 47. Let p = -2118 + 2115. Which is greater: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11165735, -11165750, -11165765, -11165780?\nAnswer: -11165795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 67500, 67485, 67454, 67401, 67320, 67205, 67050?\n\"Answer: -g**3 - 2*g**2 - 2*g + 67505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -21212011100?\nAnswer: 21212011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39.68 + -41. Let b = 1.5 + x. Let o = -9.82 - b. Are 0.2 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**5 - 3*v**3 - 9. Let y(o) be the third derivative of -o**8\/42 - o**6\/24 - 5*o**3\/2 + 8*o**2 - 7*o. Let u(b) = 5*r(b) - 3*y(b). Factor u(m).\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**4\/24 + 1363*s**2. Let w(i) = 19410*i**2. What is n(w(p))?\nAnswer: 19410*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**3 - 6*c**2 - 592 + 0*c**2 + 586 as h*c + p + f*c**2 + u*c**3 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061206861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 8 (c) 0 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + x + 1 = 0, -3*o = 14*x - 12*x - 7. Let u(h) = -1 + 128*h + 8*h**2 - 128*h. Give u(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1260) + sqrt(1260))\/(((sqrt(7) - (sqrt(7) - (sqrt(7) + sqrt(7) + sqrt(112) - sqrt(7)))) + sqrt(7))*2) + 4.\nAnswer: 4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 26256*f. Let t(k) = k**2 + 50*k. Give j(t(c)).\nAnswer: 26256*c**2 + 1312800*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 - 355*b - 2474. Let x be p(-7). Solve a + x - 206 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1735068, 1735065, 1735062, 1735059, 1735056?\nAnswer: 1735053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 4*m - 26, -2*m = 2*u + 3*m - 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkrw when four letters picked without replacement from rkwkr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -17, -5 in decreasing order.\nAnswer: 50, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 5*x + 4*p, -3*p = -p - 8. Let w be x\/6*(-4 - -7). Let t(k) = -3*k**2 - k. Let g(c) = 5*c**2 + 5*c - c**2 - 4*c. Give w*g(u) + 5*t(u).\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/25*((-75)\/(-6))\/(-5)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65\/2 + -32. Let f = 0.6 - -1.4. What is the nearest to r in 0.3, -0.4, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1419 - -1432. Let r(c) = 2*c**2 - 3*c + 4. Let k be r(3). What is the greatest common divisor of k and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109235126 and 82082.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959515?\nAnswer: 5, 191903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n + n + 2*n. Let j be -2 - (-5 + 6 + -2). Let w(y) = -5*y. Let z(q) = q. Let p(s) = j*w(s) - 4*z(s). What is c(p(t))?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 9059016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6947079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-72)\/52)*316\/1027.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d + 0*d - 2*d)*(-11 - 16 - 2*d + 29) to l + w*d + v*d**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 311*n**8\/168 - n**4\/2 + 8*n**3 + 933*n**2. What is the second derivative of j(l) wrt l?\nAnswer: 12440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 282*p**2. Let u(d) = -1977*d**2. Give 30*o(n) + 4*u(n).\nAnswer: 552*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -955*i. Let k(h) = -1205*h. Determine k(c(x)).\nAnswer: 1150775*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.1 and 6.4236021.\nAnswer: 14.5236021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 3:45 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/10 and -32\/939?\nAnswer: 9390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-84))\/(1\/6*(-258)\/(-86))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.38 - -0.57. Let m = p - -0.01. Which is the closest to -3? (a) m (b) -4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 7:27 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 99241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -33 (c) 0.16 (d) 0.5 (e) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 2.9. Let w = f - -0.1. What is the second smallest value in w, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-17 + 1 - 1). Suppose 0 = 4*u + 5*k - 20, -4*u + t = 4*k - 0*k. Solve -5*z - 4*d - 19 + 0 = u, -z + 2*d - 1 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 14*z**2 + 5*z - 16. Let u be y(2). Suppose -4*c + 25 = -71. Let m(w) = -u*w**2 + 29*w**2 + c*w**2. Let k(g) = -3*g. Give k(m(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 + (15 - (47 + 16)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-20)*(9 - -1). Suppose -2*f = m - 5*m + 4, 4*m - h*f = -8. Let n be (20\/(-6) + 2)*-3. Which is the third biggest value? (a) n (b) m (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66117 + 239027. Round v to the nearest 1000.\nAnswer: 173000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3266.51623 less than -7.31?\nAnswer: -3273.82623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -11*o**2 + 3*o - 2. Let s(c) = -10*c**2 + 2*c - 2 - 1 + 3*c**2 - 5*c**2. Let w(u) = 3*a(u) - 2*s(u). Find the second derivative of w(y) wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -46258*d - 4024466. Give y(-87).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -21103200?\nAnswer: 21103200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in 1\/5, -10, 4\/55, -2, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 j when four letters picked without replacement from {t: 8, r: 5, j: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62103811789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 10:27 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a. Suppose 3*p + 2*p - 5 = a. Let h = 28 - 31. Is h equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -60*i - 2. Calculate r(-3).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*y = -18337, 5*j - 16019 = 4*y + 2290. Let x = j + -58599\/16. What is the common denominator of 4\/(288\/(-255)) + 5 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 - 26*a**2 - 38*a**2 - 139*a**2.\nAnswer: -203*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12647 and 3.\nAnswer: -12644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*w**4 - 55*w**3\/2 + 5*w**2 = 0. Calculate w.\nAnswer: 0, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103090 and 348920?\nAnswer: 4535960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/268650 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 29 - 7 = 2*c, -12 = 3*q. Solve 0 = c*j - 7*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -545*y + 5303584 = -393*y. List the prime factors of y.\nAnswer: 2, 11, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 - (-7)\/3. Let o = 3.3 + -3.4. Sort o, f, -5 in increasing order.\nAnswer: -5, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 2447167.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5*p - 39 + 67 = 0, 9*g - 19 = 11*g + 5*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.4 + 5. Let w be 2\/5*(-3)\/2. What is the biggest value in w, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -17*s**3 + 3*s**2 + 3*s + 3. Let m(t) = 34*t**3 - 5*t**2 - 5*t - 5. What is 5*g(q) + 3*m(q)?\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 62.\nAnswer: -5, -3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 6*n**2 - 3*n - 6. Let b be o(5). Let z(i) = i + b - 2*i + 2*i. Suppose 0 = -7*v + 73*v - 264. What is z(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2065*g - 2046*g - 361 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 z when four letters picked without replacement from {r: 1, l: 2, c: 6, z: 5, m: 3}?\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1445*h + 13158. Let y(g) = -19*g + 172. Let d(c) = -2*t(c) + 153*y(c). Let j(l) = 3*l**2 - 1. What is j(d(z))?\nAnswer: 867*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64302 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = a, 0 = 3*z - a - 6. Suppose -4*k + 2*s = -234, 2*k + 0*k - 127 = z*s. What is the greatest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1955*b - 2135*b = -12420 for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16866416 and 123?\nAnswer: 50599248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25a5807 + 1?\nAnswer: -25a5806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 9*a**2 - 8*a - 4. Let t be s(-9). Suppose -v + t = -42. Calculate the greatest common factor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -149, -353, -561, -773?\n\"Answer: -2*i**2 - 198*i + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 1\/4, -17123, -2\/17, 0, 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2*k - 111517701*j**2 - 5715717*j*k with respect to k.\nAnswer: j**2 - 5715717*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -137265, 3, -6, -12, 1 in increasing order.\nAnswer: -137265, -12, -6, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 149761866 + -149761864.01999934. Let t = -1.98 + k. What is t rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 6:11 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/2)\/q)\/q*q*q)\/q*q**4)\/(q\/(q*q**5*q)*q**(2\/5)) assuming q is positive.\nAnswer: q**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*x - 16 = 84*x. Let a(f) be the third derivative of -f**6\/120 + f**5\/15 - f**4\/8 - f**3\/3 + f**2. Calculate a(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 (base 7) in base 16?\nAnswer: c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.21 - 0.1976958?\nAnswer: -1.4076958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -81665508 divided by 141?\nAnswer: -579188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216 and (-7)\/2 + 127716\/696.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*j + 6 + 19, -3*j + 2 = s. Suppose -a - 1 = -5, 3*k - s*a = -20. Factor k + 1\/2*l - 1\/2*l**2.\nAnswer: -l*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)\/(sqrt(9)*-2) - (sqrt(22) - (1*sqrt(22)*-2 - sqrt(22) - sqrt(22))))\/(-1*((sqrt(11) - (1*sqrt(891) - sqrt(891))) + sqrt(11))))**2.\nAnswer: 121\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 256 (b) -4 (c) 1\/18 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - -1. Let h = -7370 + 7379. What is the smallest value in h, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74066301 by 23211.\nAnswer: -3191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 141, 12, 0 in ascending order.\nAnswer: -17, 0, 12, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-22)*(1911\/(-156) + (-20)\/(-16))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 10 = 5*k. Let y(u) = -2 - u**k + 2. Let h(d) = 4*d + 2*d**2 - 4*d + 0*d. Determine y(h(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2901, 5736, 8573, 11412, 14253, 17096?\nAnswer: 19941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7595 and 155.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3319?\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5347009 + -8234?\nAnswer: 5338775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 6*s - 35. What is g(11)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31669615 or -1?\nAnswer: -31669615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - f + 6 = 0, 4*w - 16 + 0 = 2*f. Let r(q) = -4 + 3*q + q**w + q - 5*q - 2*q. Suppose 0*z + 9 = 3*z. What is r(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.94 - 0.14. Let q = 0.2 + m. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) - (-214088)\/504. Let t = -118 + v. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4\/3, -9, -2\/13, 4 in descending order.\nAnswer: 5, 4, 4\/3, -2\/13, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11816*k**4 - 4*k**2 - 249*k wrt k?\nAnswer: 283584*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15935*f**2 + 6 - 6.\nAnswer: 15935*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8920 divide 4979331519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2343 + 2386. Calculate the remainder when k is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(3)*5)\/(sqrt(4) + sqrt(484) + sqrt(484) + sqrt(484)*-3)*3.\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -619, -1000, -1399, -1822, -2275, -2764?\nAnswer: -3295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -299.2 and -1.\nAnswer: -300.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 475d - -1ca?\nAnswer: 4927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 3\/1259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -14 - (-19 - (-22 + (6 - -4))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315883*i - 315857*i + 260 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/33*2\/(-6). Let q = -1.3 + 1. Let h = q - 0. Which is the third smallest value? (a) 1 (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/13 + 220694*r\/13 - 3310860\/13 = 0. What is r?\nAnswer: -110362, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (111\/(-21))\/((-3)\/((-21)\/10) - 2736\/2128)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/73 in -2\/62387, -4, 0.4?\nAnswer: -2\/62387","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*20*(-86)\/26660?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 7:51 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 3*r + 6. Let h be b(-6). Let n be h\/(-48) + 7\/4. Let u(q) = -4*q**2 - n*q**2 + 5*q**2. Let o(i) = -i. Give o(u(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 5*m + 6. Let i be h(-7). Calculate the least common multiple of ((-20)\/25)\/(i\/420) and 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(1600)\/sqrt(5)))\/((sqrt(60) - (sqrt(60) + (sqrt(3840) - sqrt(60)))*-6)\/sqrt(6)).\nAnswer: sqrt(3)\/392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -7)\/(15*14\/(-140) - -1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + -69.6. Let i = 17 - j. Let a = 0.4 + i. What is the nearest to -0.1 in 0.4, 2, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*r + 149, 0*h + 34767 = h - 6*h + 6*r + 35174 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3059 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 153554 is divided by 50151?\nAnswer: 3101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*s + 9*s + 21. Suppose -220 = -4*r + 5*b - b, -109 = -2*r + s*b. Is 28 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2128 is divided by ((-202)\/(-1))\/(20 + (-1450)\/75).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57466 by 665.\nAnswer: 57466\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*z + 5*z. Suppose 4*m - z = 3. Solve 0 = -a - m + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h**3 + 4*h**2 + 4*h + 4. Let c be 3 + (1 + 3 - 4). Suppose -c*g = -0*g + 33. Let r(b) = -20*b**3 - 11*b**2 - 11*b - 11. What is g*n(l) - 4*r(l)?\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*o**6 + 103*o**3 + 4*o**2 - 9*o**2 - 103*o**3 wrt o?\nAnswer: -1320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1832 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116157960?\nAnswer: 2, 3, 5, 229, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5873 - -5875. Sort 17\/2, 2\/57, t.\nAnswer: 2\/57, t, 17\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b. Let d(y) = 30*y + 21. Let f(l) = -3*l - 2. Let j = -6 + 27. Let u(a) = j*f(a) + 2*d(a). Determine u(z(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*a + 14, 0 = 5*a + 2 + 3. Let k(z) = -1 + 170*z**2 + 3*z**3 + 3*z - 4*z**3 - 173*z**2. Give k(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**26\/i**(-1\/7) assuming i is positive.\nAnswer: i**(183\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + -34. Let j = u - -26. Is j < 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3429 + 1713 - 10*x**2 + 10*x**3 + 1716.\nAnswer: 10*x**3 - 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(4) - (sqrt(36) + sqrt(108)\/sqrt(3) + sqrt(36) - sqrt(36))) + -2)**2.\nAnswer: 4*sqrt(19)\/5 + 119\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 7.3 (c) 4 (d) 0.5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -72924538 divided by 362\nAnswer: -201449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**3 + 109*j**2 - 32*j**3 - 107*j**2)*(4*j - j - j).\nAnswer: -72*j**4 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 609 - 334. Calculate the highest common factor of r and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 8*p**3\/3 + 3. Let i(n) = n**2 + 59*n - 59*n. What is i(h(m))?\nAnswer: 64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 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 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 48. Does 21 divide (15\/(-30))\/(r\/296)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from {p: 9, d: 7}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 7*z + 46, 6529*g + 26 = 6524*g - z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:25 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (1*sqrt(133) - sqrt(133))*1 - sqrt(133))\/(sqrt(7) - (sqrt(7) - (sqrt(7) + (-2*sqrt(700) + sqrt(700) - sqrt(7))))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 9*s**2 - s - 3. Let u = -97 + 88. Let x be w(u). Suppose 0 = -x*n + 3*n + 12. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0, 9, -718\/21, 1\/5, 2\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + s**3 + 3*s + 6 - 3*s**3 to the form b*s + i*s**2 + y + x*s**3 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398563321?\nAnswer: 13, 30658717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**4 + 3*u**3 + u + 6. Let o(g) = 9762*g**4 + 45*g**3 + 9*g**2 + 15*g + 249. Let v(c) = 15*i(c) - o(c). What is the third derivative of v(s) wrt s?\nAnswer: -233568*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4040 times -19?\nAnswer: 76760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172357652, -172357653, -172357654, -172357655, -172357656?\nAnswer: -172357657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 12. Let g = 124 - 621\/5. Which is the closest to g? (a) r (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 0 + 1 + 1)*(v**2 - 2 + 2) + (-3*v + 5*v - v)*(-16*v**4 + 19*v**4 - 36*v**4).\nAnswer: -35*v**5 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22832439\/55 bigger than 415134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*m + 13 + 11, 2*r + 20 = 4*m. Calculate the lowest common multiple of 28\/8*(1 + 1) and m - -6*(-1)\/6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfkf. Give prob of picking 1 f and 2 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*1*612\/(-1122).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83545?\nAnswer: 5, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/8)\/((-21)\/28). Let -1\/3*s**3 + n + s**2 - s = 0. Calculate s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*v - 3*s, -5*v + 11 = -2*s + 3*s. Factor -43*p - 24*p - 243 + 13*p - 6*p**2 + 3*p**v.\nAnswer: -3*(p + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 3) + 18\/2. Suppose 0 = -3*u + b + 7. Solve -w - 2*w = -u*j, 10 = 5*j - w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10036 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/3)\/o**(1\/6)*((o*o*o**(-4\/3))\/o*o)\/o**(3\/4) assuming o is positive.\nAnswer: o**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 13. What is the third derivative of -4*g**5 - 10*g**2 - g**2 + o*g**2 + 3*g**2 wrt g?\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16403\/2 + 8151. Suppose 0 = -3*u + u + 774. Let p = -3057\/8 + u. Find the common denominator of p and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3 = 3*o + 11, -4*u = 2*o. Let i be 4 + (2 - (-1 + u)). Solve 3*b = -j - 6, 3*j - 4*j = i*b + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 5. Suppose 0*p = -p. Suppose p = u - 0*u - 8. What is the highest common factor of r and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 14*n + 12*n)*(n + 2*n - 5*n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-520)\/13*(253\/22 - 11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 445\/12 - 437\/12. Which is the nearest to 0? (a) z (b) 0.5 (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c. Let a be ((-2)\/3)\/(13\/(-780)). Let l(t) = 4*t**2 + 40*t. Give a*u(x) - 2*l(x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 36.49 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = -p - 3*z, -2*p - 4*z - 6 = 0. Suppose -5*w + 195 = -b, w + b + 7 - 46 = 0. Let f = 45 - w. Sort f, p, -5.\nAnswer: -5, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 12703, -336?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18126.\nAnswer: 2, 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2366549430 by -5.\nAnswer: 473309886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7009.852mm in micrometers?\nAnswer: 7009852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + s + 12. Let j be 0\/(3*-1)*(28 + -29). What is y(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 1036*l + 182. Let u = 2838 - 2844. Let y(v) = -17*v - 3. What is u*c(t) - 364*y(t)?\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103547781 divided by -34515927.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 56 - -39?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1133, 1110, 969, 650, 93, -762?\n\"Answer: -10*a**3 + a**2 + 44*a + 1098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*b = -13 + 19, -4*p = b - 15. Solve -24*a + 1 = -25*a - u, -6 = 2*a + p*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11343 + -4?\nAnswer: -11350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*x**4 + 81*x**4 - 100*x**4 + 3*x - 4*x**4 - 3*x + (2*x**2 - 3*x**2 - x**2)*(-2*x**2 + 5*x**2 - x**2))*(0*x - x + 2*x).\nAnswer: 66*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.729681 centuries in years?\nAnswer: 872.9681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 356 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 7*s**2 + 6*s - 11. Let c be y(-8). Suppose 0 = c*d + o - 18, d + d = -5*o - 2. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -54*v**2 + 2324*v - 64. Give x(43).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -94\/1073415 and -2\/214683.\nAnswer: 1073415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*f**3 + 0 + 6\/11*f**2 + 0*f.\nAnswer: -2*f**2*(f - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 17670336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a + 75. What is the remainder when ((-56)\/24)\/(2\/(-48)*1) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 3:45 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3886923 and 6150?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, 761.5, -9, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 122 + 0.135\nAnswer: 122.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*g + 3*g + 17 = 0, -2*g = -3*k + 10. Solve 20 = k*o + t, -25 = -5*o - 0*t + 4*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -78f5 - b7?\nAnswer: -79ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2437942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359326087?\nAnswer: 181, 1985227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*j**2*p**3*q + 4*j**2 + 10*j*p**2*q**2 + 58*p**3*q**2 + 4*p**3 + 9*p**2*q + p*q wrt p.\nAnswer: 48*j**2*q + 348*q**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 26. Let d(l) be the third derivative of l**4\/24 + l**3\/3 + l**2. Let s be d(h). Solve 2*a + s*a = 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -210 - -50. Let p = j + 160.083. Let r = p - 0.117. What is r rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 6) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (51\/4)\/(6\/16). Let q(g) = -l*g + 22*g + 15*g. Calculate q(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4539 is divided by 419.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1001594, 2003636, 3005678, 4007720?\nAnswer: 5009762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 = -l, -2*l = -y - 0*l - 10. Suppose y*i = -i. Suppose 6*u - 9*u + 42 = i. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i - 1. Let r be m(2). Let f = r + 21. What is the common denominator of (-84)\/f - 3\/(-2) and 69\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u + 24 + 0 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.15976 - -0.388. What is g rounded to three decimal places?\nAnswer: 0.228","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(125\/10))\/((-4)\/(-5)). Which is the second smallest value? (a) 4 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 22210.\nAnswer: 22210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-12420)*117*(-65)\/1014?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2036 is divided by 676.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 4*c**2 - c - 2. Suppose -6*p - p + 14 = 0. Calculate a(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3374679.\nAnswer: 3, 7, 11, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z**2 + 6*z + 4. Let i(x) = 18*x**2 + 15*x + 10. Let f(a) = -7*b(a) + 3*i(a). Determine f(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*p + p = 0, 3*n - 3*p = 0. Let w(h) = -h - 1 - 5 - 2 + n*h. Give w(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -700.463748 less than 0.07099?\nAnswer: 700.534738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-10 - 5)) + -41?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1091904*m**2 + 1370785*m**2 + 260473*m**2 + 2720107*m**2.\nAnswer: 5443269*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 16 = -3*s - 2*k, 0 = 4*s + 5*k + 59. Let j = 5 + -15. Let g = j - s. What is the remainder when 22 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/15)\/((-117)\/(-975)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 775 and 15081779.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17\/412 or -1?\nAnswer: -17\/412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -7*q - 0. Solve -3 = 4*b - q*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -5, 0, 2, -422 in descending order.\nAnswer: 13, 2, 0, -5, -422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1226190 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11384887.\nAnswer: 269, 42323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0. Let o(g) = -g**3 + 13*g**2 - 20*g - 11. Let c be o(9). Let j be (-43)\/28 + 38\/c. What is the closest to u in 6, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-12)*(q\/q**7*q)\/q)\/(q**(-17)*q*q**(-15\/7)) assuming q is positive.\nAnswer: q**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.2 (c) 72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 356161 < 356173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -36. Which is the biggest value? (a) m (b) 3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.94608 weeks in milliseconds?\nAnswer: 7829789184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (15\/126)\/(125\/(-100))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1537.975*-1\nAnswer: 1537.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 29874*j - 6. Let w be x(-4). Suppose 1035494 = -4*b - 3*c + 357489, -b + 3*c = 169505. Let z = w - b. What is z rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*l**3 + 7*l**2 - 1456*l**4 + 212*l**3 + 1448*l**4 + 5*l**2 - 16*l - 32*l**5 + 20*l**2 = 0.\nAnswer: -2, -1\/2, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 888 and 26396059.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a factor of 1859641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -1. Calculate the remainder when 1\/(2\/q) - -39 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - l + 3 - 2 = 0, -5*i + 3 = 3*l. Let d(a) = -a**3 - a**2 - a + 15. Let q be d(i). Solve -2*c = c - q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21723856073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2712291593?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 13*p - 963 = 0. Determine n, given that 52 - 15*n + 10*n**3 + 48*n**2 - p*n - 18*n**3 + 10*n**3 + 20*n = 0.\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 31 = -5*l, 494*l - 57 = -3*v + 497*l. Let f be 3\/6 + (-699)\/(-2). What is the greatest common divisor of v and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -163, -157, -139, -103, -43, 47?\n\"Answer: c**3 - c - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 + 20*v - v + 7 + v**2. Calculate the remainder when f(-8) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*b - 68*b + 29*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 2*a**2 - 106*a - 38. Calculate the remainder when z(-11) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 6264.016ml to litres.\nAnswer: 6.264016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*q - 2 - 199*q - 106*q - 19*q - 8*q as m*q + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by -19.\nAnswer: -46\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y - 5*y + 2*y)*(-7041*y + 4276*y + 4123*y) to q + r*y + x*y**2 and give x.\nAnswer: -9506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -1075317\nAnswer: 6451902","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 10*w - 51, 60*p - 15 - 7 = 59*p - 5*w for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, 3, 0.8, 3\/5, -21, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 411.\nAnswer: 2\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38872 - -38868.551. What is z rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(19\/(-76))\/((-15)\/(-3))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 4:53 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 510973577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 37 = -179. Let v = 95 + t. Suppose 24 = z + 2*g, -2*g + 3*g = z - 9. Calculate the remainder when v is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 127110571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333606 - 31534 + 28258 = 5*a. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 1370757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x + 3080 + 1975 = 0. Let o be (9437\/(-12))\/((-28)\/(-12)). Let i = x - o. Are 2\/3 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -440 + 313. Let w = h + 143. Let m(n) = n**3 - 15*n**2 - 8*n + 6. Is m(w) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -238, -223, -174, -73, 98, 357, 722, 1211?\n\"Answer: 3*m**3 - m**2 - 3*m - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*w = -4*r - 91*w - 44, -7*r + 4*w - 77 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**4 + 669*z**3 + 45144*z**2 + 867300*z + 4379424 = 0.\nAnswer: -98, -19, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -3*u + 2858 - 2906, 3*u - 71 = 4*v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 838107314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 55 - -917?\nAnswer: 96c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 8. List the prime factors of (k - -24) + -3 + 2.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*q + 97. Let p = -21 - -23. Suppose f - 3*v = 2 + 15, -2*f = p*v + 6. Calculate the greatest common divisor of f and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - t**2 - 88*t + 84. What is the smallest common multiple of n(0) and 1190?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**3 + 5*x**2 - 6*x + 1. Let b be q(-6). Let n = b + 49. Let t = -63 - n. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 9:05 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, j: 2, a: 1, o: 1, d: 1, h: 1}. What is prob of picking 1 a, 1 j, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 14 = d, -58*l + 2*d + 212 = 40*l + 6*d + 58 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24341411*b - 7*b**2 + 24341411*b.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.3 - -28. Sort l, -5, -3.\nAnswer: -5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.17781ml to litres.\nAnswer: 0.00317781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -149815 and -54.\nAnswer: 8090010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 211443524 (base 6) in base 16?\nAnswer: 38cecc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 + 5*i**2 + i**2 - 125*i + 3*i**2 - 1 to the form n*i + d + x*i**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**3 + 7*a**3 - 3 - a**2 - a + 0*a**3 + 1. Let x be o(2). Calculate the greatest common factor of x and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -53 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/((-3)\/3) + -3. Suppose -w = 4*w - 2*t - 213, 4*t - x = -w. Let s(o) = o + w - 41. Let v(u) = u**2. Determine v(s(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 13) to base 12\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46238 + -32762. Let q = v + -8737. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220537?\nAnswer: 220537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {u: 2, m: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12222202 (base 3) to base 5.\nAnswer: 114432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-3150)\/(-198)) + (4 - 0).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77715)\/6150 + (-23310)\/(-1850).\nAnswer: -3\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -f - 5*k, -3*k + 0*k = 4*f + 8. Let w(z) be the second derivative of z**5\/20 - z**3\/3 - z**2 - 3*z. Determine w(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3*1)\/(6\/(-4)). Let o(m) = 12*m - 25. Let b(u) = -u - 4. Let l(i) = 5*b(i) - o(i). Let a(n) = -13*n + 4. Let d(g) = 4*a(g) - 3*l(g). Calculate d(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7 - -2. Let a(q) = 2*q**2 - 10*q - 13. Let i be a(6). Sort 2\/7, i, -5, t.\nAnswer: -5, i, 2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201002 (base 3) in base 7?\nAnswer: -3425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfjjnffjnjfjfqfjjfjf. What is prob of sequence nfn?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1\/4*-64. Let y = i + -23. What is the highest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*f - 59 + 8*f - 26 + 15*f**4 - 54 wrt f.\nAnswer: 60*f**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 31*s + 10. Let g(t) = 10*t**2 + 154*t + 54. Calculate 2*g(j) - 11*o(j).\nAnswer: -2*j**2 - 33*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 443022949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u + 132. Give r(-9).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-29 + 41 - -1) - (2 + 3 + 94).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = 3*i + 208. Which is smaller: 16 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172021332 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**4\/5 + 456*y**3\/5 + 710*y**2 + 1320*y = 0.\nAnswer: -220, -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31, -72, -111, -148, -183, -216?\n\"Answer: m**2 - 44*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-63))\/((-10)\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3064 a factor of 326229618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 6. Let c(f) = -f + 5. Let m(g) = 2 - 3*g + 5 - 2*g**3 - 5. Let x be m(1). Give x*c(o) - 2*t(o).\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.079+-10147\nAnswer: -10147.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -949 - -948.41. Let o = 0.12 + 0.18. Sort o, 3, q.\nAnswer: q, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/(-625))\/((-16)\/20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.434.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 13 = -1. Let s be 1 + (-8)\/2 + z. Suppose 2*t + s*t = 16. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a + 9. Let q(l) = 3*l + 5. Let b(g) = -11*q(g) + 6*x(g). Let d be b(-1). Let c(j) = 14*j - 8. Let w be c(d). Solve -2*u = 3*u - w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 4*h**2 - 15*h - 2. Let z = 1900 + -1875. Calculate the remainder when z is divided by k(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/15 - 44\/(-10). Suppose 4*n = 5*n + c. Which is greater: n or -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 2. Let o(k) = k + 1. Let z(i) = -9*o(i) - 4*v(i). Suppose 4*a - 8 + 44 = 0. Let r be 6\/4 + a\/6. What is z(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728836410?\nAnswer: 2, 3, 5, 17, 29, 49279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, u: 1, i: 1, y: 1, q: 2}. What is prob of picking 1 i and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 413583, 413455, 413327, 413199, 413071?\nAnswer: 412943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 4*l + 0*l)*(l - 2*l - l - 2*l + 2*l - 2*l + (0*l - l + 3*l)*(1 - 1 - 1) + 68*l - 64*l + 228*l).\nAnswer: -452*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*k**2 + 5 - 5 + (2*k - 5*k + 5*k)*(-1 + 2*k + 1) - 3*k**2 - 3 + 3)*(4*k + k - 3*k) - 2 - k**2 + 2 - k**3.\nAnswer: 25*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.134.\nAnswer: -0.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 10. Let w be z(12). Is 46*-1*(-11)\/w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46585880*n**3 - 52652454*n**2 wrt n?\nAnswer: 279515280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -10067?\nAnswer: 10067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 12*m**2 - 12*m - 9. Let p be o(-11). Let q(l) be the third derivative of -l**6\/60 + l**5\/15 - l**4\/12 - l**3\/3 + l**2. Give q(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -406 - -413 - (19 - -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.6 + 38.4. What is the third biggest value in 5\/3, j, 2\/5, -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 1, u: 2, h: 1, d: 2, a: 1}. What is prob of picking 2 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 65*l - 506. Let m be k(47). What is the greatest common factor of 30 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 4. Let r = 3 + -3. Let u be b(r). Suppose v + 0*v + u*p = -12, 3*p = -15. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2222 - -22452?\nAnswer: 20230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-3 + 0 - -4). Let u(o) = l*o - 5*o + 0*o. Let x(f) = -f. Calculate x(u(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-9) + 3164\/12. Suppose -4*j + 4*c + m = -2*j, -j - 2*c = -120. Suppose 2*d - 5*d = -j. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 1 = -3*j, -24814*j - 2*s = -24814*j - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-64 + 1)*(-10 + 1)\/(-27).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(84\/108)*(-6)\/9?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 5*r - 2. Let u be o(-6). Let q = -57 + 71. Solve -u*z + q = -3*k + 1, -4*k = -5*z + 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -4*s - 12. Solve s*w - 3 = 0, 5*g + w = -0*w + 26 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 9*i**3 + 2*i**2 + 12*i + 1. Let o be t(-4). Let p = -585 - o. Sort 4, -3, p, -2 in ascending order.\nAnswer: -3, -2, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) -3 (c) 0.4 (d) 181 (e) 129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 8*j - 23*j + 44 = 6*u - 9*j - 2*j, 0 = -48*u + 6*j + 366 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(12\/8 + -1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -458*m**2 + 1705*m**2 + 1964*m**2 - 640*m**2 to g + r*m**2 + k*m and give r.\nAnswer: 2571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z = 34*z - 4*k + 2, -21 = 3*z + 3*k for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 6:12 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**4\/12 - 2*u**3\/3 - 11*u. Determine z(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 93.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837 a factor of 66666567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 44*f + 4349 - 4208 = 0, 0 = 5*m + f - 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 + -10)*(1 - -2). Which is the nearest to 2\/13? (a) w (b) -5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 380703, 380842, 381081, 381426, 381883, 382458, 383157, 383986?\nAnswer: 384951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 4. Let p be q(3). Calculate the remainder when 48 is divided by (p\/10)\/(2\/68).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-36) + 10\/45. Suppose r = 4*z - 16, 3*z - 6 = l + 7. What is the smallest value in l, -3, 0.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 924*k**3 + 20*k**2 - 1600. Let r(m) = 923*m**3 + 16*m**2 - 1602. Let l(f) = 4*d(f) - 5*r(f). What is the derivative of l(s) wrt s?\nAnswer: -2757*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1536 divided by -6\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = x - 3, -5*x - 13 = 3*k - 5*k. Suppose 49*c = 39*c + 270. Let y be (4\/3)\/k*c. What is the highest common factor of 45 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -8*n - 2. Let v(w) = -112*w - 15. Let g(t) = -52*t - 7. Let h(b) = 13*g(b) - 6*v(b). Calculate -6*f(c) + 11*h(c).\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 338071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 + 3 + 9 - (-1 + -22). Let a(r) = r**3 + 7*r**2 + 6*r + 8. Let b = -10 - -4. Let u be a(b). Solve -2*v + 4*y - p = u*y, 7 = -4*v + y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.05.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3838*m**3 + 19*m**2 + 38. Let u(y) = -1279*y**3 + 6*y**2 + 12. Give -6*p(r) + 19*u(r).\nAnswer: -1273*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2. Let a(g) = 12*g. Let m(q) be the third derivative of 7*q**4\/12 - 10*q**2. Let y(n) = 4*a(n) - 3*m(n). What is j(y(v))?\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*t - 690 = 0, 15*j - t - 1365 = 11*j. Calculate the greatest common divisor of j and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29793 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 - u**3 - 2*u**3 + 2*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*r + 46 = 10, -2*o - 44 = r. Let a = o + 31. What is the smallest common multiple of 7 and a?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p + 37. What is the remainder when f(-13) is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(18\/(-4)))\/(35371\/(-90954))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1569 = -4*w + 260*b - 259*b, -4*b - 1180 = -3*w. What is the lowest common multiple of w and 56?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.92 + 9. Let a = 0.09 - h. Let p = -0.69 - a. Are p and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 - 556370 + 3*j**2 + 556370 + 0*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -162, -325, -492?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**3 - 2*u**2 + 1. Let x be m(1). Suppose -x*s - s = -3*y - 24, -y = -5*s + 19. Factor k**4 + 0*k**s + 0 - k**2 + 1\/2*k**5 - 1\/2*k.\nAnswer: k*(k - 1)*(k + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10549.84543 - 10550. Let z = -10.41243 + f. Let l = 10.5 + z. What is l rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110011110000 - 0?\nAnswer: -1000110011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6709.466*-0.3.\nAnswer: 2012.8398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -z, -4*z = -3*g + 47 - 151. Let y = g + 36. Which is smaller: 6\/17 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 59*o**2 - 42*o + 183. What is the remainder when p(13) is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110000111 (base 2) to base 8\nAnswer: -1607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**5\/60 + t**4 - 22*t**3\/3 - 41*t**2\/2 - 62*t. Let i(g) be the first derivative of d(g). Find s such that i(s) = 0.\nAnswer: 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-9) + (87\/(-27) - -3). Suppose -4*o - 2*l = -50, -2*l - 5 = m*o - 7*l. What is the remainder when (0 - 2)*-1 - -15 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 + 26 + 3*d - 15 - d - 9 as t + i*d and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*a + 778 + 347 = -240 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 168293 to the power of 1\/2, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuouuommzuuduu. Give prob of sequence um.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 128889.\nAnswer: 386667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2935601 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/49567 and -74\/9?\nAnswer: 446103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7940 + -1237. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -32\/3, -39, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 2*c**2 - 4*c + 3. Let t be i(3). Sort t, -2, 4 in ascending order.\nAnswer: -2, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-372)\/(-3) + 0 + 0. Let t be 2\/3 + w\/(-6). Let u = 28 + t. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - 11*x**4 + 4*x**4 + (-4 + 4 + 2*x)*(-129 + 129 - 14*x**3).\nAnswer: -33*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 6:03 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948.482 days in milliseconds?\nAnswer: 168348844800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-2 + 0))\/(-2). Let u be ((-51)\/(-4))\/((-424)\/64 + 7). Let y = u - x. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2 + 4 + 8*w + 2. Let g be i(6). Let y be 2\/(5*2\/74) + 5524\/(-6905). What is the highest common divisor of y and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*h + 6*h**3 - 156*h.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -562 greater than or equal to -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 850159161.15 plus -1.612?\nAnswer: 850159159.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 882, 870, 850, 822, 786, 742, 690?\n\"Answer: -4*t**2 + 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -2 + 1\/6*a**3 + 17*a + a**2. Give i(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-385)\/44*12\/(-1)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-27)*c)\/c)**50 assuming c is positive.\nAnswer: c**(-1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2204\/3 + 734. Which is the closest to m? (a) 585 (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 5:45 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*11*(-60)\/1540.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41357 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-25)\/(-10))\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2058 - 1.4\nAnswer: -2059.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-14))\/(10 + 1080\/(-105))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1187*a = 2000*a - 199*a + 59760 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 12118.\nAnswer: 12118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10780 greater than or equal to 10781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 14.922. Let k = -33.078 - z. Let c = 32.74 + k. What is c rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 339 + -331. Put n, 0, 3 in ascending order.\nAnswer: 0, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3)\/(16\/24)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1758 or -49533?\nAnswer: 1758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 56052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/34622 and -73\/2?\nAnswer: 34622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 l, and 2 y when four letters picked without replacement from {y: 2, x: 1, b: 2, l: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -15*m**3 + 2*m**2 + 2*m + 8. Let g(j) = -j**2 + 2*j - 1 + 3*j + j**3 - 6*j. Let f = -863 + 862. Let y(p) = f*o(p) - 2*g(p). Differentiate y(a) wrt a.\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t**5 + 27*t**4 - 27*t**4)*(76 + 25 - 23 + 3).\nAnswer: 648*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1566.34 - -805.\nAnswer: 2371.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 9*x**2 - 19*x - 29. Determine j(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 - 30*s)*(127 + 3*s**2 + 0*s**2 - 139).\nAnswer: -90*s**3 + 360*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**4\/4 + 2*w**3 - 7*w**2\/2 - w + 20. Let b be v(-7). Calculate the common denominator of 7623\/2940 + b\/7 and 43\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from gqdfk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2788, -6888, -12358, -19198?\n\"Answer: -685*r**2 - 2045*r - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4)\/i)\/(i\/(i*i**(-6\/11))))**(1\/28) assuming i is positive.\nAnswer: i**(-61\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*w + 503*w - 105*w - 132*w - 130*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*b + 7, -q + 3*q - b - 47 = 0. Suppose 2*u - q - 12 = 0. Solve 5*o = -3*y - u, -3*y + 2*o - 6 = -17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2981462 divided by 2?\nAnswer: 1490731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03787 - -34.54787. Let v = -63 - -29. Let l = d + v. Round l to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 1200 = -96*k - 11*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(35))\/sqrt(7) + 1 + sqrt(125).\nAnswer: 1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 147221863*y**2 - 147221859*y**2 + 4.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - 24 - (69 - 84 - (-1 + -3))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12113 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10558.\nAnswer: 2, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r + 4*r + 5*r. Suppose -6*n + 21 = -33. Let f(g) = g**2 + 12 - 3 - n. Give q(f(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 658 + -659. Let w = -0.9 - 4.1. Sort w, -0.4, c in decreasing order.\nAnswer: -0.4, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7613191 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.027 in -2\/9, -3, 0.4, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 + 97. Solve 3*x - h*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -55\/3, -3\/2, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + 1 - (-2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxuzxdvvuuxvxdxvv. Give prob of sequence uxz.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2873, -5893, -9073, -12419, -15937, -19633, -23513, -27583?\n\"Answer: -u**3 - 74*u**2 - 2791*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128 - -48 - -81 - (-1 - 4)) + 84.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 821 - -2202. What are the prime factors of l?\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2264960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.1, 364, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*o - v, 9*v - 4*v + 18 = 2*o. Let r = 123 + -109. Calculate the greatest common factor of r and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 7, -3, -5 in increasing order.\nAnswer: -17, -5, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 12:06 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-14)\/12 - (-25 + 989\/46))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 12*i**4 + 21*i**3 - 52*i**2 + 24*i + 5. Let o(m) = -12*m**4 - 20*m**3 + 52*m**2 - 24*m - 4. Let h(k) = 4*l(k) + 5*o(k). Factor h(u).\nAnswer: -4*u*(u - 1)*(u + 3)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/4 - 8071*g**2\/2 - 242371*g\/4 + 64628 = 0.\nAnswer: -16, 1, 16157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 42 - 41 - f - 13. Let k = 18 + -27. What is d(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13982 - -13986. Let b(n) = -n**2 + 8*n + 2. Let g be b(6). Solve 4*y - 2*y + g = 4*i, 0 = 2*i + h*y + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16057 - -16244. Suppose 5*u - u - 131 = -t, t - 163 = -5*u. What is the remainder when p is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -25 (b) 113 (c) 5 (d) -5 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 equal to 146582\/7397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 252 = -18*w. What is the greatest common factor of w and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4619223?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4350114604?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b16a6b (base 12) to base 11.\nAnswer: -1621a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10*1)\/((-22)\/(-110))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2)\/x)**(-1\/22))**40 assuming x is positive.\nAnswer: x**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 17. Let j be 5 + 0 + -5 + z. Solve -12*g**2 + 7*g**2 + 6*g**j = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 32. Let q be x(-10). Let m = q - -14. Let s = 13 - m. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3346*j**3 - j**2 - 4*j - 4. What are the prime factors of u(-1)?\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a*w**3*y - 2634*a*w**2*y + 2*a*w*y - 244*a*w + 2*a*y - a + 21*w*y + 4 wrt w.\nAnswer: 54*a*w*y - 5268*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3054 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*f + 570, 4*f = -2*m + 731 + 439. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17336 times 0.167?\nAnswer: -2895.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 12:39 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -261638 and -261641 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 12, 337*h + 12 = 335*h - 2*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**4*k)\/k)**(-1)*k\/k**18*k*(k**(-16)*k)\/k assuming k is positive.\nAnswer: k**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -0.3 (b) 3\/2 (c) -3\/2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(405) + 2 + sqrt(405) + -3*sqrt(405)*1 - (0 + sqrt(5)*-1 + sqrt(5) + -3 + 0)*5)**2.\nAnswer: -342*sqrt(5) + 766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.54? (a) 1 (b) 1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*f + 5*o - 7, 3*o = 2*f - 3. Let n be (24 - -28) + -1*f. Solve 23 - n = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*sqrt(180)\/(sqrt(6) - -3*sqrt(6)))\/((sqrt(90)\/sqrt(5) - sqrt(18))\/sqrt(3) + -1*sqrt(6)*-2) + 2.\nAnswer: -3*sqrt(5)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792.1211 micrometers to nanometers.\nAnswer: 792121.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k + 11*k - 228973. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -11. Let j be -2 - -1*(i - 3). What is the second biggest value in j, -1, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71914397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*u + 5 = 0, 2*s + u = 7 + 3. Solve -k + w + 9 = k, s*k - 5*w = 25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + 0*p**3 + 4*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g + 25. Let b be f(7). Suppose -3*y - 228 = -3*o, -98 - 318 = -5*o - b*y. 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 k(t) = t**3 - 9*t**2 + 3*t. Let y be k(9). Let i = 250 + -213. Solve 2*f = 4*p + 13 - i, -f + 5*p = y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**3 + 20*q**2 - 7*q - 16. What is the units digit of j(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lplllrllrllwrlrrlpow. Give prob of sequence pr.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 7:41 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -1247751?\nAnswer: -1247752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q = 30 - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*n + 86, -v - 4*n + 31 = -0*n. Let t be 4\/3 + -20 + v. Let f = -0.14 + -0.26. Which is the closest to -1\/5? (a) f (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 524.7 and -8.\nAnswer: 516.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 614773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6030 - -4?\nAnswer: 6034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 x when three letters picked without replacement from {k: 1, w: 2, i: 4, x: 8, q: 4}.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 11110.\nAnswer: 444.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 164\/(-9) + 92\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11897038 is divided by 456?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14662 - -16543. Calculate the remainder when u is divided by 267.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-147)\/245)\/((-36)\/30)*14\/(140\/(-55))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -15, 0, 35, 96, 189?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158337149 a multiple of 10301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 5*r**2 - r**2 + r**2 - 3*r**2.\nAnswer: 2*r**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = -3. Suppose 0 = -54*q + 32*q - 122*q + 3456. Solve s - q = -p*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1910?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45.07 + 46. Let n = 696.12 - 696. Let j = n + h. Round j to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 8*a**2 - 1\/2*a**3 + 1\/72*a**5 + 0*a + 1\/12*a**4 + 0 - 1\/1080*a**6. Let l(d) be the first derivative of m(d). Factor l(b).\nAnswer: -(b - 6)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 12. Suppose 3*p - 5*y - 90 + 34 = f, -5*p - y = -140. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k + 8*k**3 - 4*k + 5*k**3 + k**3. Let o be 1\/(-4 + (-15)\/(-3)). What is the tens digit of c(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 - 19*p - 8. Determine j(7).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168715820.\nAnswer: 2, 5, 7, 13, 17, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42436023 to the power of 1\/3, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 17637800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from ycccyyyckycycycyyy.\nAnswer: 70\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 181 + 1c0c?\nAnswer: 2090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e252 - -5?\nAnswer: -2e24c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 14 = -d + 71, -354 = -5*d - 3*x. Calculate the highest common factor of 9 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -23, -25, -39, -71, -127, -213, -335?\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktttkk. Give prob of sequence tt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -304462582?\nAnswer: -304462582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (981\/12 - 3)\/(1\/(-4)). What is the hundreds digit of (k\/(-6))\/(5\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 660, 0.3, 24\/13, -4 in descending order.\nAnswer: 660, 24\/13, 0.6, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*n**3 - 171759*n**2 - 72954048*n + 9730260 = 0. What is n?\nAnswer: -3330, -487, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, 86, 193, 344, 539?\n\"Answer: 22*h**2 - 3*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 103570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.49824 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -9 + -1 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16305811\/350 + 46588. Calculate the common denominator of y and 33\/490.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 3*q**2 + q + 9. Let z be x(4). Let t(y) = -30*y**3 - 4*y**2 + 4*y + 9. Is t(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 8*z + 10. Let y be s(-9). Let g = -168 + 173. Suppose 2*v + 25 = -g*a - 3*v, a + 2*v = -9. Which is greater: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -14*w**3 - 22*w**2 + 7. Let a(r) = 9*r**3 + 15*r**2 - 5. Let t(o) = 7*a(o) + 5*k(o). What is the third derivative of t(u) wrt u?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = j - 5*y + 3, -5*j - y = 3. Solve -d - 11 = -4*n - j, 0 = 3*d + 3*n + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 225?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -38242 + 2*r**2 - 3*r**2 - 38246 + 76488. Let t(o) = 2*o + 12*o**2 + 2*o + o + 0*o**2. Determine t(y(s)).\nAnswer: 12*s**4 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -988 divided by -76.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3567.9 - -1833.9. Which is bigger: u or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395650248 divided by 171129.\nAnswer: -2312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 1\/360*u**6 + 0*u**2 + 1\/6*u**3 - 3\/8*u**4 + 0 - 1\/120*u**5 + 2*u. Let a(k) be the second derivative of s(k). Give a(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(5) + sqrt(500)))**2*6.\nAnswer: 130680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(110)*6)\/(sqrt(360)*-3).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*o = -o - 121, -3*d = -3*o - 93. Suppose 2*u + 35*h - 99 = d*h, -5*u + 276 = 3*h. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i*i\/i**17*i)\/i))\/i)\/i**22)\/(i\/(i\/(i\/(i\/(i*i\/i**(-1)*i))))*i**(-2\/17)*i) assuming i is positive.\nAnswer: i**(-202\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -15, -16 + 3 = -3*l - c. Solve 3*b + 6 + l = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80549972*r*u**4 + 2*r*u**3 - 356069*r*u + 4*r + 63*u wrt u?\nAnswer: -966599664*r*u**2 + 12*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**2)**(3\/8)\/((i**9\/i*i)\/i*i\/(((i**2*i)\/i)\/i*i)) assuming i is positive.\nAnswer: i**(-47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 6. Let q = 1 + u. What is the second derivative of 3*r**q + 32 + 3*r - 32 wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.73 + -2.64. Round x to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1254204 greater than -1254203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 81448938521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 2*j**2 + 2*j. Suppose 16*i - 19*i = -66. Let q(c) = -5*c**3 - 11*c**2 + 11*c. Calculate i*u(v) - 4*q(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**3 + 6*z - 6. Let s(l) = -l**3 - 2*l**2. Let y be s(-1). Let b(x) = 0 + 3 + x - 4 + x**3. Determine y*p(m) + 6*b(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2721344*o - 10885387. Determine j(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29076718*m**4 + 2*m**3 + 2188526*m**2?\nAnswer: -697841232*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-8)*-2)\/(1\/5). Suppose 0*c = 4*c + o*s - 161, 2*s = 2*c - 94. Let a = -24 + c. Solve -5*n = a + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c - 2. Suppose 7*u - 108 = 6*u. Let m = 113 - u. What is the remainder when o(-4) is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5458, 4, -3, 2, -18 in ascending order.\nAnswer: -5458, -18, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 7. Calculate the remainder when ((-20)\/16)\/(y\/(-28)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644 a factor of 79784964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -81*d + 192. Let s(w) = -5*w + 12. Let u(k) = 6*p(k) - 99*s(k). Calculate the remainder when u(10) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 1\/206?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m. What is i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(3\/(25 - 4)). Suppose -h*d = d + 4*d. Solve d = m - 7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 468 and 78?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11415 - 6?\nAnswer: -11424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - 6*k + 4*k - 3 - k + 3 + (-k - k + k)*(-1 + 2 + 0) + 18*k + 14*k - 14*k + (-k + 3*k + k)*(4 - 1 + 0).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 12*v**2 + 81*v + 193. What is x(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8.8, -0.2, 2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 - 4*l**4 + 0*l**4 + (0*l**2 - l**2 + 0*l**2)*(-36*l + 36*l - 2*l**2) in the form o*l**2 + w*l + y*l**3 + s*l**4 + j and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 98?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 85 in -669, -0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 2.34. Let n = f + -3.54. Which is the nearest to 1? (a) 0.5 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from ozjosososo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 - p - 1. Let c be w(-1). Let k be (-2)\/31 + (-1971)\/(-279). Put k, c, -2 in decreasing order.\nAnswer: k, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.5809329 milliseconds?\nAnswer: 0.00000016137025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 - (13 + -86 + -28)?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238768?\nAnswer: 2, 14923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1259036 by -919.\nAnswer: -1259036\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 882685944 divided by 24\nAnswer: 36778581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7999\/37982 + 10\/2713. Let q(u) be the second derivative of -3\/140*u**5 - f*u**3 - 1\/70*u**6 - 21*u + 5\/28*u**4 + 0*u**2 + 0. Factor q(a).\nAnswer: -3*a*(a - 1)**2*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -17. Sort 1, -2, n.\nAnswer: n, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/6)\/(10\/30). Sort f, 4, 2 in ascending order.\nAnswer: f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3358507842 to the nearest integer?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3\/b**(-7))\/(((b*b**(-1\/23)\/b)\/b*b)\/b**0) assuming b is positive.\nAnswer: b**(231\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + 27*t - 69. Give n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 835\/104 - 80\/13. Let l be 433\/(-15)*531\/6. Let u = 2560 + l. What is the common denominator of u and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-18) + 280\/(-936). Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, -2, 514, -4, 7, 4, -3 in increasing order.\nAnswer: -4, -3, -2, 4, 7, 99, 514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*n - 2*n - m, 15 = 5*m. Let f(b) = 6 - n*b + 7 - 4. Is f(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:24 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - ((4*sqrt(1100) - sqrt(1100)) + 2))*-4*-6)**2.\nAnswer: 46080*sqrt(11) + 2536704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 10:31 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 3:50 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 15 = 7*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2360 = 147*h + 163*h - 428*h for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 5*t**2 - t + 5. Let n be f(-5). Let k(i) = 10*i - n*i - 3*i**2. Let q(r) = 3*r**2. Give k(q(p)).\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -72\/11, 2, 4 in increasing order.\nAnswer: -72\/11, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3410, 3408, 3406?\n\"Answer: -2*m + 3412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**4 + 2*x**4 + 3*x**4)*(1306*x - 464 + 1343*x - 2650*x).\nAnswer: x**5 + 464*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*z - 85 - 5 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -1, -4, -30 in decreasing order.\nAnswer: -1, -4, -30, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 38*b**3 - 8*b**2 - 18*b. Let h(m) = -19*m**3 + 4*m**2 + 9*m. Let d(r) = 5*h(r) + 3*y(r). Find the third derivative of d(t) wrt t.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/y*y**(-3\/2))\/((y**(-1)*y*y)\/(y**(-7)\/y)) assuming y is positive.\nAnswer: y**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 7. Let g be z(-5). Let m = 15 + g. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 3. Let j be u(0). Suppose -4*r + 8*r = 8. Suppose -z = 0, 5*z = -2*k + r*z - 8. Which is the closest to 0? (a) j (b) 1\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/(-15) - (-670)\/132 and (-2)\/(-12)*138\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/3 - 824*n\/3 + 84872\/3 = 0. What is n?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + r + 3*l + 3 = 0, 10 = 4*r + 2*l. Let v(s) = 21*s**2 + 12*s + 8 - 2 - 4 - 20*s**r. Let y be v(-12). Solve y*u = 8 + 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1022401 from 0.368.\nAnswer: 1022401.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3\/7 + 26640*y**2\/7 - 26636*y\/7.\nAnswer: -4*y*(y - 6659)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.081514 to one dp.\nAnswer: 50.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4 + y**2 - 3*y**4 - 6*y**2 + 7*y**4 + 3*y - 3*y**3. Let j(s) = 9*s**4 - 7*s**3 - 11*s**2 + 7*s + 9. Let n(h) = -7*b(h) + 3*j(h). Factor n(q).\nAnswer: -(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 + 9*g + 7. Let p(w) be the third derivative of -3*w**5\/20 - 17*w**4\/24 - 13*w**3\/6 + 75*w**2. Calculate 11*j(u) + 6*p(u).\nAnswer: u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by -44\nAnswer: -37\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-35)\/25)\/(1\/5). Let j = a + -18. Is j less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 51.59. Let r = -0.39 + k. What is the third smallest value in -5, -0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51*s + 109 + 131 - 114 + 381 wrt s?\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2353 + -2305\nAnswer: -4658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12361.29 litres?\nAnswer: 12361290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0, 5, 9, -96 in increasing order.\nAnswer: -96, -16, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/5619107 or -1?\nAnswer: -6\/5619107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-17)*q*q**(-21)*q assuming q is positive.\nAnswer: q**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -16*c**4 + c**3 + 3. Let q(t) = 80*t**4 - 6*t**3 - 14. Let o(k) = k**2 - 18*k + 20. Let h be o(17). Let n(b) = h*q(b) + 14*d(b). Factor n(j).\nAnswer: 4*j**3*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166\/913*(-374)\/306.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/136, -1, -0.1, -5?\nAnswer: -3\/136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnn when three letters picked without replacement from wnnwnnnnnwnnnnwnnww.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o + 7. Let r(a) = -a**3 + 5*a**2 - 5*a - 2. Let g be (32\/(-12))\/(4\/(-6)). Let w be r(g). Is y(w) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d = 6*d. Suppose d = 2*i - 587 - 347. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -25*z + 2. Let y(g) = -261*g + 21. Let i(w) = 21*l(w) - 2*y(w). Let r(c) = -158*c. Calculate r(i(p)).\nAnswer: 474*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -13*o + 431. Let v be n(33). Suppose 0 = -4*p + 2*p. Let d(z) = 1 + p + 4*z**2 - 3*z**2. Let y(r) = 3*r**2 - 2*r + 3. Give v*d(k) - y(k).\nAnswer: -k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 135276417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v - 157*t + 161*t + 171 + 19 = 0, -4*v + 3*t = -34 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((16\/(-6))\/(10\/6))\/((-1408)\/1760). Let w(p) = 3*p**2 - 3*p. Calculate w(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - i, 2*h + i + 4 = 7*h. Let z(c) = c**2 + 1. Let v(g) = -5*g**2 - 4. Determine h*v(l) + 4*z(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*sqrt(17) + sqrt(17) + sqrt(17) + sqrt(17) + ((sqrt(136) + sqrt(136)*-2 + sqrt(136))\/sqrt(8))**2.\nAnswer: 3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/15385 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2 - a + 0 + 0. Let c(v) be the first derivative of -v**2\/2 - v - 1. Let k(x) = -2*c(x) + s(x). Let j(o) = -2*o. What is k(j(b))?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 41 = 79. Suppose 0 = -3*g - 4*r + 38, 0*r = -5*g - 2*r + i. What is the smallest common multiple of g and 0 - (-2 - (4 + -2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-52)\/(-880) - 36\/66 and -101\/120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 4*i + 4. Let l(x) = x**2 - 8*x + 12. Let v be l(5). Give f(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m - 48 = -18*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8077 or -8078?\nAnswer: -8078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgmq when four letters picked without replacement from gggmgtrtrrggq?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -21. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 19*a. Let d(l) = 13*l**2. Determine p(d(y)).\nAnswer: 247*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5))**(-6)\/((a**10\/a)\/(a\/a**(-4))) assuming a is positive.\nAnswer: a**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {i: 1, z: 1, x: 1, c: 1, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/148 and -131\/6?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.042914l?\nAnswer: 42.914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*r - 15, -5*r = -j + 6*j - 30. Suppose -6*v + 1 = -j*v. List the prime factors of (12 - 0)*((-37)\/(-4))\/v.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38297*j**3 - 2*j**2 - 5*j - 6697 wrt j?\nAnswer: 229782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Let f be (l\/6)\/(2\/13200). Round f to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 150*p**2 - 473*p + 16430. Give d(-146).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1490*a + 442. Let p be m(34). Is 63 a factor of ((-4)\/7)\/(68\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 261 - 260.6. Which is the second smallest value? (a) 39 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*(-4)\/4*1. Suppose h - 3*h + j = 0. Suppose l + h*v - 42 = v, -v + 42 = l. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*n = 2*u - 44, n + 494 = u + 490 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 8*s**2 - 22*s + 7. Let x be o(-10). Suppose f - 4*f + x = 3*j, 2*f - j - 6 = 0. Let p(z) = 4 - 5 + f*z**3 - 292*z + 292*z. What is p(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4 + 2)*(-4 + 7 - 1)*(-y - 2 + 2).\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 46*y. Solve -5*u + 2*s + 3*s + 10 = 0, 4*s - 12 = y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*c**2 + 3*c - 3*c**3 + 2*c**3 + 11*c**2 to the form y*c + b*c**3 + n*c**2 + j and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18166, -18158, -18146, -18130, -18110?\nAnswer: -18086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*o + 11 + 332*o + 312*o - 1292*o + 330*o - 11.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - ((-2)\/(-1) + 38). Round v to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2603322.6 hours?\nAnswer: 108471.775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 158471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*n**2 - 2\/3*n**3 + 8\/3 - 16\/3*n.\nAnswer: -2*(n - 2)**2*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 3. Suppose q - 4*l - 21 = 0, -a*l = -2*q + 6*q. Suppose -6*x + 2*x + 39 = -n, -2*x = -q*n - 15. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-20) + (84\/(-5))\/(-4). Suppose -97 = -w - 2*t, -4*t - 84 - 364 = -m*w. Calculate the remainder when w is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -541708 and 0.762.\nAnswer: -412781.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -1356\nAnswer: 17\/678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 2)*(-3*l**3 + 2*l**3 + 2*l**3) - 47*l**3 - 14*l**3 + 5*l**3 in the form z*l**2 + o + y*l + k*l**3 and give k.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402450331 + 402450331 - 12*u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 609 and 2906169?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35105 by -119.\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/15 and 49\/13443.\nAnswer: 67215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438848.\nAnswer: 2, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14824, -29849, -44874, -59899, -74924, -89949?\nAnswer: -104974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11 + 11)\/(-14))\/(-7). Solve l = 3*r - 6, -2*h - 4*r = 21 - 33 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184201 is divided by 119.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**5\/3 + 13580*q**4\/3 + 13592*q**3\/3 - 9056*q**2 = 0.\nAnswer: -2, 0, 1, 3396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.111 - 11.111. Let m be -2 + 20\/9 - 0. What is the fourth smallest value in 0, 0.3, w, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49632793 divided by 7090399.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 106034 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -191 + 187. What is the smallest value in z, 4, -5, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 3*m + m**3 - 6 + 7 + 0*m. Let j = 5 - 3. What is the units digit of k(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -1\/141, 5 in ascending order.\nAnswer: -3\/5, -1\/141, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286224 and 12193464?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (-2 + 0 + (sqrt(1216) - -2*sqrt(1216)) + 4)**2.\nAnswer: 96*sqrt(19) + 10946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hcuncchycycccycfcuc. What is prob of picking 1 y, 2 u, and 1 c?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68760 and 50.\nAnswer: 343800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -n + 70. What is the highest common factor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, n: 2, r: 3, j: 6, w: 3}. What is prob of sequence ra?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3333333 (base 5) to base 12\nAnswer: 29aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 197 = 181. Let z(t) = t**3 + 17*t**2 + 18*t + 34. Let p be z(o). Let w be 2\/(-1 + -1) + 17. Solve 2*d + u = 0, -2*d + p*u + u = -w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -18. What is the derivative of 13 + 9*a - k*a + 19*a wrt a?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 6:16 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 44*z**2 + 79*z - 22. Let q(u) = -28*u**2 - 53*u + 14. Determine -5*d(s) - 8*q(s).\nAnswer: 4*s**2 + 29*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence geeu when four letters picked without replacement from {g: 5, u: 7, e: 2}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0 - 14. Suppose 3*r - 88 = -t. Calculate the remainder when 2*(28 + -1*2) is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j + 15. Give k(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/26524 and 12\/95?\nAnswer: 132620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18124, -36252, -54390, -72544, -90720, -108924?\nAnswer: -127162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -1.8769.\nAnswer: -0.93845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 + 2*s**2 + 6*s**2 - 1 as d + p*s**2 + o*s and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1011)\/(-63)*3 - ((-24)\/42)\/(-4)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 587629.7 millilitres?\nAnswer: 587.6297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1117792 and -37\/35360?\nAnswer: 95012320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -219118*g**2 - 1936*g. Let y(p) = -p. Calculate z(y(x)).\nAnswer: -219118*x**2 + 1936*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:34 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -269785*j**3 + 134895*j**3 - j + 3*j**2 - 1 + 134891*j**3. Suppose 0 = -k - k + 4. What is t(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*d**5 + 6*d**4 + 8*d - 29.\nAnswer: 640*d**3 + 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. Suppose -c*i = 2*i - 25. What is the second derivative of -9*r**5 + 10*r**i + r - 6*r wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, t: 3, e: 2, r: 6, p: 2}. Give prob of sequence ytp.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*j - 2. Let x(o) = -2*o + j*o - o. Let d(h) be the first derivative of h**3\/3 - 282. Give d(x(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 52 (b) -5 (c) 4 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20265 by -105.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 - k - 1. What is the tens digit of j(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 8344256*a - 8344255*a - 4 = 0, -11*a = 2*m + 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -119\/3 in -1\/3, 2\/11, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 464557 * 0.1.\nAnswer: 46455.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53392125*b*l**2 + 35*b*l - 2945*b wrt l?\nAnswer: -106784250*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = w + 5*v + 6, -5*v = -w + 13. Let c = w + 17. Suppose -12*l + 14*l - c = 0. Solve -l*r - 1 = 19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**4 - 315360*d**3 + 630676*d**2 + 2207448*d + 1261408 = 0.\nAnswer: -1, 4, 78838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**8\/o*o))\/o**(-2\/37)*(o*o**(-8))\/o*(o\/o**(-1\/5))\/o*o)**(-11) assuming o is positive.\nAnswer: o**(30008\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -10*b - 2. Let g(j) = -24*j - 5. Let a(w) = 10*f(w) - 4*g(w). Suppose 12 + 0 = 4*t. Let o(l) = -8 - t*l + l + 8. Give o(a(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/13, 0.4, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-4 - -2) + 184. Let p = k - 216. Which is greater: -33 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/5780486 and -25\/11347?\nAnswer: 40463402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -1, 1083 in descending order.\nAnswer: 1083, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 6*c**2 - 6*c + 2. Let v be u(5). Let k be 3 + v + (0 - 0). Suppose z = 4*g - 2*g + 10, -3*z = g + 5. Solve z*o + 2*o + 10 = k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -34, -1, 5, 1 in decreasing order.\nAnswer: 6, 5, 1, -1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 421593765.\nAnswer: -421593770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2257 + -2239. Solve 2*n = -5*d - p - 1, 0 = 2*d - 3*n + 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 5:59 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15.27 (b) 2441 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -16. Let q(i) = -132*i + 8. Let o be q(-1). Is 14 a factor of o\/6*c\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 169256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8 + 2 + 1 + -1 - 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*r + 13 + 9, 5*z = -25. Suppose -r*n - 920 = 2713. Is n != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 3*v**2 + 5*v. Let c be y(4). Suppose 5*t + 5 = 0, 84 - 19 = c*s - t. Calculate the remainder when 4 is divided by (-10)\/(-4) - (-8)\/s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 9:27 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*3*(-9)\/((-27)\/(-4)). Let w be t\/(-10) - 561\/(-85). Solve 14*y = w*y + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 3. Suppose -1 = -3*p + 17. Let j = 1 - p. Let s = -5 - j. Calculate v(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*p - 490 = 207*p + 32314 for p.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 5*b**4\/12 + 15*b**3 + 85*b**2\/2 - 72*b. Determine q so that r(q) = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3\/3 - 19052*o**2\/3 = 0. What is o?\nAnswer: 0, 9526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1571 - -1585. What is the remainder when 149 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16, -35, -72, -133, -224?\n\"Answer: -x**3 - 3*x**2 - 3*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 288 and -0.58295.\nAnswer: 287.41705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/9 - 4*v**2 + 2*v\/9 + 4 = 0. What is v?\nAnswer: -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1713678 at least as big as -1713675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1829214964.9 and -33288.\nAnswer: -1829248252.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 15 = 3*o + 17*z, 4*o - 5*z = -25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2430*56423.\nAnswer: -137107890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*n + 14 = -q, -5*q + 25 = -5*n. Suppose -3*a + q = -4. Let l(z) = 4*z**3 - 4 - 4*z**3 + 2*z + z**3 - 4*z**2. Calculate l(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/(30\/5)*(-1)\/(-2). Let t = 3.7 - 1.2. Let n = t + -2. Put f, -1\/4, n in ascending order.\nAnswer: f, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**2 + 13*r - 3. Let y(l) = -3*l**2 - 7*l + 2. Let u(h) = -6*m(h) - 11*y(h). Let v be u(3). Solve 2*w - 14 + 5 = 3*n, 0 = 4*n + v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c + 43. Give b(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -11*i + 23 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.28 and -2?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214543909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 12 + 25*z - 6*z + 8*z. Suppose 2*l + 46 - 16 = 0. Let s = -3 - l. Let d(o) = -11*o - 5. Give s*d(a) + 5*k(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, p: 3}. Give prob of picking 2 p and 2 z.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 8, -18, -62, -124, -204?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4682375*3\nAnswer: 14047125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 1 + 0 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -10, -4, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -40060*d - 320330. What is o(-8)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -241 + 14461\/60. Let i(h) be the third derivative of 0*h + 0*h**4 + 4*h**2 + d*h**5 + 0*h**3 + 0. Let n(l) = 3*l**2. What is i(n(c))?\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 1 + 19*w + 5*w + 3 - 21*w - 7*w + 24*w.\nAnswer: 28*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*f - 6, -f = -5*o + o + 6. Suppose 13679994 = -0*r + f*r. Let q be r\/2 + 54\/(-12) + 5. Round q to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*f - 353405, -39*a + 3*f - 282766 = -43*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -2\/20089, 4, 2\/17 in ascending order.\nAnswer: -1\/7, -2\/20089, 2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 10*b**2 - 45*b + 392. Give v(13).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/51 - (-6080)\/27404. Let k = u + -8\/31. Is k equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1711*r + 1613*r. Solve r*f + 5*f + 30 = -5*t, 0 = 5*t - f + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8) + 49\/84. What is the biggest value in y, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4726 + 4717.474. Let q = 463 + -463.074. Let f = l + q. What is f rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -30 and 124078?\nAnswer: 124108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 296 - 289. Let z be 28\/(-8)*((-27)\/k + 5). Let t(h) = -3*h - 6. Let i(j) = -1. What is z*i(n) + t(n)?\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 1773315?\nAnswer: -1773315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -3, -5971 in increasing order.\nAnswer: -5971, -15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**11)**(1\/14)*(s**(-3\/22)*s)**(-47) assuming s is positive.\nAnswer: s**(-6119\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 50\/9*o + 85\/9*o**2 + 1\/6*o**4 + 62\/27*o**3 - 147. Determine f, given that i(f) = 0.\nAnswer: -5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3)*c\/c**14*(c**(-2\/11)*c)**(3\/4) assuming c is positive.\nAnswer: c**(-677\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 less than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/203? (a) -4\/23 (b) -7 (c) -1 (d) -1\/3 (e) -2\/5 (f) -0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23302*a*f + a - 6145*f - 4 wrt a?\nAnswer: -23302*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 14, b: 1, c: 1}. What is prob of sequence bc?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-7)*(-2)\/(-8)*5*(-42)\/105?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a tonne in kilograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -626, -3905, -12786, -30065, -58538, -101001, -160250, -239081?\n\"Answer: -466*u**3 - 5*u**2 - 2*u - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89169823 by -6.\nAnswer: 89169823\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 118*c + 795. Calculate u(-6).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 248 - 204. Calculate the highest common divisor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = -3*z + 2*b, 0 = -4*z + b - 68 - 337. Let i = z - -145. Is i a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - 3*w**3 + 2*w**2 + 2*w**4 + 9*w - 7*w to the form c*w + s*w**4 + r*w**3 + x + p*w**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1584)*1*-6 + -1*(1 + sqrt(1584)) + 0))**2 + 3.\nAnswer: 168*sqrt(11) + 77620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*c)*(3 + 0 - 1)*(10*c - 10*c - 29*c**2).\nAnswer: -116*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 2, v: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 2*m - m)*((m**2 - m**2 + m**2)*(-3 + 11 - 1) + 2*m**2 - 7*m**2 + 2*m**2) as u + o*m**2 + n*m**3 + p*m and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeie when four letters picked without replacement from ieeeiee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 326870 to the power of 1\/2, to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75943 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 10 - (-22)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y. Let z(r) = -r**2. Calculate z(u(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 4. Let l be n(0). Let m = -11 - -11.1. Let z = -3.33 + 3.73. Which is the closest to m? (a) l (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (-15)\/(-6))\/((-1)\/10). Let z = -2 - -4. Suppose 3*u + 17 = -z*u + j, -u - 4*j - 16 = 0. Sort u, o, -3 in ascending order.\nAnswer: o, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8*x = 3*x + 672, 336 = 2*m - 3*x. Let l = m - 168. Factor l*g**3 + 4\/11*g**2 + 0 + 2\/11*g**5 - 2\/11*g - 4\/11*g**4.\nAnswer: 2*g*(g - 1)**3*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v + 7*v - 5. Let s be 4*v + (44 + 4)\/8. Solve 3*h + s*h + 10 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5608584 divided by 6\nAnswer: -934764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r - 336 = 0. Suppose 56 = 2*a + 2*u - 6*u, 87 = 3*a - 3*u. What is the remainder when r is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 5*n**2 - 2*n**2. Let l(s) be the first derivative of s**2 - 4. What is h(l(y))?\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 199.6 + -199. Sort 0, i, 4, -5 in ascending order.\nAnswer: -5, 0, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + 56*d - 297. Let s be i(21). Sort s, 2, -5, 3, 4 in increasing order.\nAnswer: -5, s, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4998722, -4998723, -4998724, -4998725, -4998726?\n\"Answer: -g - 4998721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 8 - 3)*(-366*y**2 + 175*y**2 + 122*y**2) + 0*y**2 + 2*y**2 - y**2.\nAnswer: -1655*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363 = -4*s + 481. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 + 27*m**2 - 454*m + 3643. Give b(9).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 266 (b) -2 (c) -18\/19 (d) -2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 + -157. Sort 3, -5, 1, v in decreasing order.\nAnswer: 3, v, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3\/7 (b) 3 (c) 0.006 (d) 29 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8993 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2115 times 7\nAnswer: -1.4805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p**3 + 2*p**2 - 1278*p - 3. Let w(v) = 26*v**3 + 7*v**2 - 3833*v - 10. Give 3*w(o) - 10*y(o).\nAnswer: -2*o**3 + o**2 + 1281*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -697254.36 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.36 + -0.2. Let h = k + 0.03. Round h to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/(d\/(d**(-10)*d)*d)*d)))\/d**(1\/4))\/(d**(-6\/23))**(-8) assuming d is positive.\nAnswer: d**(-1043\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s + 3. Let u be (32\/(-72))\/(2\/(-63)). Let v(g) = -g**2 + 16*g + 7. Let t be v(16). Let x(z) = -4*z + u*z - t*z - 4*z + 1. What is q(n) - 4*x(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -2. Let b be n\/6 + (-130)\/(-3). Let h = b + -28. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 137, 194, 285, 416, 593?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 31*j**2 - 14*j - 298. Does 109 divide x(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45601 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34052879.\nAnswer: 7, 431, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 28. Suppose 68 = 8*f - y*f. Let b = f + -25. Calculate the remainder when 24 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19\/25, -3, 0, -178 in ascending order.\nAnswer: -178, -5, -3, 0, 19\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 4*s - 16. Let z be n(8). Let t = z - 140. Solve -t*x - 8 = 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/4 of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110935.26 rounded to the nearest one hundred?\nAnswer: 110900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 9\/4, 5, 18?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137.03 + 137. Do 146 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 - 6*d**3 + 6*d**2 + 22*d + 12.\nAnswer: -2*(d - 2)*(d + 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.43 - -0.13. Which is the second smallest value? (a) -0.4 (b) 8 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 5. Let c(m) = 6*m + 14. Let n be -3*3*6\/(-9). Suppose 23 = n*r - 13. Give r*c(t) - 17*z(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1925*w - 1925*w + 3855*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10615 + 10615. Find z such that 0 + 0*z**3 + h*z + 4\/3*z**2 - 4\/3*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 8:20 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**3 - 11*y**2 + 8*y - 4. Let n(k) = -4*k**3 + 16*k**2 - 12*k + 6. Let s(p) = 5*n(p) + 7*q(p). Let g be s(2). Let c = 30 - g. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) 1\/8 (c) -0.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 s when three letters picked without replacement from {e: 7, s: 6}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49007615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1185, 5, -0.4?\nAnswer: -1185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/579)\/(182\/(-4)). Let l = z - -3811765\/15648633. Let s = -5\/81 + l. Which is the third smallest value? (a) s (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -31*r**3 + 90*r**2 + 138*r + 49. Is z(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124872534?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3))**41*(z\/z**(5\/4)*z)\/(z\/z**(-1\/24)) assuming z is positive.\nAnswer: z**(-2959\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7065292 to the nearest integer?\nAnswer: 2658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at least as big as 353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -827424 divided by -1224\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1145107.83914 + 0.0074\nAnswer: 1145107.84654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*b + 2 + 5, 5*r + b - 23 = 0. Let s be 248\/32 + 1\/r. Let q be 0 + -2 + (s - 5). Let z(k) = -4*k**2 + k. Calculate z(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w + 2. Let f(r) be the first derivative of -6*r**2 + 8*r + 4. Let g(m) = 6*f(m) - 22*s(m). List the prime factors of g(-15).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5302, -1, 0 in increasing order.\nAnswer: -1, 0, 5302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -10. Calculate the remainder when 31 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*12*3\/(-240). Put -9, r, 0.3, -1\/2 in ascending order.\nAnswer: -9, -1\/2, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44053 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350) + 4*sqrt(350) + sqrt(350) + sqrt(14) + sqrt(70)\/(sqrt(5)*-1))\/(sqrt(4)\/(-1*3*sqrt(2))*-2).\nAnswer: 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*s + 14*s + 79244 - 324974. Is 51 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -77a7 + 55?\nAnswer: -7752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555000 rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c. Let n(z) = 67*z + 26. Let s(y) = -32*y - 12. Let j(d) = 6*n(d) + 13*s(d). Calculate f(j(b)).\nAnswer: 70*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -83*p + 5. Let v(r) = 83*r - 5. Let z(u) = -5*g(u) - 4*v(u). Let y be z(3). Let i = y - 148. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*s + 38*s - 201 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 6*i + 10. Let k be r(5). Suppose -j - 4*f = -4 - 0, 5*j + 2*f + 34 = 0. Let g = 17 - j. Solve 0*u + k*u - g = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 44 - 30. Let j(s) = -19*s**2 + 7 - 120*s**q - 4 - 3. Let p(x) = -x**2. Determine j(p(f)).\nAnswer: -139*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -107*d + 1. Let b(h) = -6*h**2 - 2*h - 681. Determine b(a(v)).\nAnswer: -68694*v**2 + 1498*v - 689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1212000331 (base 4) to base 2\nAnswer: 1100110000000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3344?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**6\/120 + p**5\/20 + p**4\/4 - 5*p**3\/6 + 5*p**2. Calculate the remainder when x(4) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 77.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 473, 1254, 2775, 5282?\nAnswer: 9021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 7012?\nAnswer: 84144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - ((44 - -7) + -13)) + 7.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Let l = -3\/5 + 29\/15. Is k not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 18*y + 73. Let s be f(13). Let m = 10 + -7. Suppose 0*a + 5*l = -4*a + 13, 0 = 3*l - m. Solve -a*v + u = -s, -v + 3*u = -u - 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4112.9389*0.1\nAnswer: -411.29389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, -2.89, -1\/2, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13447 is divided by 1120.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 346.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1071\/35 - 8\/32*36)\/1. Factor 4\/5*n**3 + 0*n**2 - i*n + 216\/5.\nAnswer: 4*(n - 3)**2*(n + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -10?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8359 and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 19*g - 24. Let c(b) = -3. Suppose -2*j - 2*w = -22, 2*j + 10 = -3*w + 40. Give j*x(v) - 24*c(v).\nAnswer: 57*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4865 divided by -5.\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 8976?\nAnswer: 44880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.02129099 and -59535.\nAnswer: -59534.97870901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5645920 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2376)\/(-231))\/(-12)*42\/39\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -863 + 874. Solve d*r = -31 - 24 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-118)\/(-5) + (-10)\/(-25). Suppose -4*f + 0*f - 5*v = -a, -3*f + 18 = -v. Let b be -20*525\/f*36. Round b to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/9*(30\/35)\/(8\/28). Solve 5*p = y - s, -5*y - 2*p = 42 - 31 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231001817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49\/4 - 12. Let h be (-6)\/21 + 32\/14. Let n = -285 - -281. What is the third biggest value in n, h, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9914.5 times -43\nAnswer: -426323.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*z + 2*z, -2*m = -3*z. Let b be m - (-3)\/(-3 + 2). Let w = b - -1. Put 2, 0, w in descending order.\nAnswer: 2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44190 + 44190 - 1984*u)*(-2*u + 2*u + 2*u) in the form h*u**2 + v*u + g and give h.\nAnswer: -3968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 48*o**2 - 2*o + 0 + 47\/60*o**5 + 103\/2*o**3 + 0*o**4. Find the first derivative of b(w) wrt w.\nAnswer: 94*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9081095 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 1. Let h(o) = o**3 - 5*o**2 + o + 2. Give -h(s) - 5*w(s).\nAnswer: -s**3 - s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 70 + 66 = 0. Suppose -2*k + 5*w = 4 + 13, 2*w = k + 6. Let x(m) = -m**3 - 4*m**2 + 0*m**3 - 1 - 2 - k*m. Determine x(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-12) + 3\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + d**2 - d**2)*(7 - 6 + 7)*(7 - 7 - 5*d**2).\nAnswer: 80*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4) - 3\/(-4). Let q be (-1 - -3) + (1 - 1). Let r = q + p. Solve 5*x + r*h = 9, -x + 5*x = -h + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 392. Let m be r(0). Let b(w) = -4*w - 87. Let h be b(-24). Suppose 3*g - 1149 = 3*n, g - m = -3*n - h. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 75 = 4*u + 33, 44 = 5*u + 2*s for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 45313*a**3 + 3*a**2 - 6*a + 16. Let x be h(-8). What is x rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 342.4?\nAnswer: 342.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 583 divided by -6.\nAnswer: -583\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 207 + -347. Let v = k + 703\/5. Let u be 1\/2 + (-3)\/12. Which is the closest to u? (a) -0.3 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 - -49 - (15 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23 from -192896851.\nAnswer: -192896874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49627 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 873345*l*w - 116*l - 77*w + 370126 wrt w.\nAnswer: 873345*l - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + v**2 + 10*v + 12. Let h be t(-8). Suppose 6*p - 284 = h. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52240 divided by 10448.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 380538, 760900, 1141262?\n\"Answer: 380362*t + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -2 + 3)*17\/(-782)*23?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, v: 3, q: 2}. What is prob of picking 2 v?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhpjppjhph. Give prob of sequence yhh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 8 = -2*l, 11*x - 20 = 36*l - 31*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 19.86806ml?\nAnswer: 0.01986806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:32 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*y - 543*y = 22 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.3, -2\/3, -13, 3\/5, -7, 2\/7 in decreasing order.\nAnswer: 3\/5, 2\/7, -2\/3, -3.3, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36720257*f**2 + 44948397.\nAnswer: -73440514*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*p**3 + 2*p + 26*p**3 - 2*p - 748*p**3.\nAnswer: -1118*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*q**2 - 413*q**2 + 27*q**2 + 326*q**2 + 35*q**2.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 885, 807, 739, 687, 657, 655?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 7 + 15 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w**3 + 6*w**3 + w**3 + 8*w**3 + 7*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = -2*q, 3*f = -4*q + q - 9. Let t(l) = -l + 1. Let n(b) = 17*b + 38. Let z(g) = f*n(g) - t(g). Differentiate z(s) with respect to s.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(68) + 0)*4)**2)*-4.\nAnswer: -4364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54\/71173 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2. Let g(j) = -8866*j**2. Calculate p(g(c)).\nAnswer: 157211912*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - n**2 - 2*n + 4. Let f be i(2). Let j = -19 - -29. Solve -2*t - j = 5*a, -5*t = -2*a - 0*t - f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.096022 to 3 dps.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Is 1\/l - (-942)\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -41, 4\/7, -5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 749 - -20?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*d - 15, 5*d - 5*b = 33 + 2. Let k be (-2)\/(-18) - (-426)\/54. Solve d*a = -a - 4*w + 7, 0 = 4*w + k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/3 - 1 - 0. Let r be (z + -1)*(0 - -1). Suppose -r = y - 2. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90285678 and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 11*w - 29. Let t be o(-5). Calculate the highest common divisor of t and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 * 0.2\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -11*d**2 - 8*d + 1. Let p be -4*2\/((-32)\/12). Let s(k) = -10*k**2 - 9*k + 2. Let n(l) = p*s(l) - 4*o(l). Is n(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 12, -6*c - 8 = -2*c - 5*w. Let a(g) = 3*g - 9. Let v(k) = 2*k - 5. Calculate c*a(h) - 5*v(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*p = 0. Let g(u) = -u**3 - 6*u**2 + p*u**3 + 3*u**3 - 5*u**3 + 5*u. Let z(x) = -5*x**2 - 2*x**3 + 4*x + 0 + 0. What is 4*g(q) - 5*z(q)?\nAnswer: -2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**2 - 386372*b - 13525470 = 0.\nAnswer: -35, 193221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7925.935 tonnes?\nAnswer: 7925935000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*d = -1248. Suppose 8*o = 4*o + d. Let a = o - 62. What is the highest common factor of 24 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 285 = -4*g + 3*j + 393, 5*g = 40*j for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/54 - 16*(-9)\/432?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (104*s - 258*s - 25 + 150*s)*(-s**2 - 2*s**3 + s**2) + 5*s**4 - s**4 - 3*s**4 as c*s**3 + i*s**4 + t + o*s + v*s**2 and give c.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1874\/13 - -144. Suppose -4*m + g = -39, 9 = -3*g - 0*g. Suppose m*p - 7*p = 10. Which is the closest to 0.1? (a) -1\/5 (b) l (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n = 4*n - 13*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -5. Let t(s) = 1369*s**3 - 9*s**2 - 3*s - 13. Let b be t(f). What is b rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/7 and 12\/2929.\nAnswer: 20503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -784 = -4*l - 60. Round l to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 24\/(-6)) + (-15)\/4. Let p = 0.13 - -4.87. Let n = -6 + p. What is the second smallest value in 2\/17, n, x?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -13669?\nAnswer: 13669.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*c + 155 - 515. Solve 4*m - w - c - 6 = 0, -3*w + 12 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6498 or -7?\nAnswer: 6498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 - 7*y**2 + 5. Let d(s) be the first derivative of 3*s**4\/4 + 8*s**3\/3 - 6*s - 856. Determine -4*d(c) - 5*l(c).\nAnswer: -2*c**3 + 3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -14283 - 66484. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 416 = -2*x - 3*j, 3*x + j = 650. Let d = x + -216. Solve -2*f + 10 = p - d, -5*p = 2*f - 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7168, -7321, -7474, -7627?\nAnswer: -7780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23382 - 646?\nAnswer: 22938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**0)\/(l**(-6)\/l))\/(l**(-7)\/l*l*l**2) assuming l is positive.\nAnswer: l**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 7) to base 9\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/635 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4953*y**2 + 3390*y**2 - 4441*y**2.\nAnswer: 3902*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.41 (b) -1 (c) -1\/23 (d) -5 (e) 11\/4 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1240 + 1122.7. Let p = j - 15.7. Let r = 136 + p. Which is the fourth smallest value? (a) 2\/3 (b) -1\/10 (c) 4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -68 (c) 0.2 (d) -8\/47 (e) -5 (f) 5 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11266127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + r + 3. Let o(g) = g + 1. Give -k(u) + 4*o(u).\nAnswer: -2*u**2 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1905*n**2 + 3379*n + 1844*n**2 - 1118*n - 1140*n - 1121*n.\nAnswer: -61*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(-21) + 7 + (-88)\/14 + 4\/14?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-12))\/(4\/(-6)). Let v(i) = i**2 - 4*i - 3. What are the prime factors of v(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603212251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 2\/11, 4\/5, 35430, -1\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000110255 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - 34)\/93*-93?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -758 (c) -0.1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 4*u**2 - u**2 + (1 + 1 - 1 - 2*u)*(-16 - 13*u + 16).\nAnswer: 28*u**2 - 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11880 and 48783900?\nAnswer: 878110200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1194*d + 151. What is the thousands digit of s(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 4:04 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + -6*6*2*sqrt(288) + 4)*-3.\nAnswer: -12 + 2592*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 7 - (-2 - (0 + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104 + 240. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-4))\/((-3)\/(-8)). Suppose 0 = d + 2*v + 4, -h*d - 2*v - 28 = -0*v. List the prime factors of 25\/2 + 4\/d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -37. Suppose -3*h - 16 = -n - 4, 2*h = -4. Calculate the remainder when n is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 9:56 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2161417920.\nAnswer: 2, 3, 5, 103, 21859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 - 62*f**2 + 534*f + 49. What is t(-38)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.4 take away 0.927?\nAnswer: 12.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/5)\/a**(-4\/7))\/(a**(-14)\/a**(-4\/11)))**(9\/7) assuming a is positive.\nAnswer: a**(49923\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1494088 and -101\/24.\nAnswer: 4482264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvvvvvvvvvvpp. What is prob of sequence pvvp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2196738, 2196705, 2196650, 2196573?\nAnswer: 2196474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 18*f - 48. Let h(x) = -3*x + 1. What is 5*h(i) + v(i)?\nAnswer: 3*i - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 26*v**2 - 88*v - 64.\nAnswer: -2*(v + 1)*(v + 4)*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50346 is divided by 2409?\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7961248, -15922490, -23883734, -31844980, -39806228, -47767478, -55728730?\nAnswer: -63689984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.29051*1.02\nAnswer: 0.2963202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*t = 1737 - 512 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184384?\nAnswer: 2, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - -90. Suppose -5*q = s - 0*q - 78, 2*s - m = q. What are the prime factors of s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.09 (b) -0.4 (c) 1\/3 (d) 3.4 (e) -2\/9 (f) -4 (g) 397\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -3*l**5\/20 - l**4 - 3*l**3\/2 - 3*l. Factor k(m).\nAnswer: -3*m*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + (315 - 303)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -100100101111 (base 2) to base 6\nAnswer: -14515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/5 - 2026*n**4\/5 + 6118*n**3\/5 + 22346*n**2\/5 - 6116*n\/5 - 4064 = 0. What is n?\nAnswer: -1016, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 31*j**2 - 54*j - 111. Calculate h(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10273 + 20040. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 36*n - 387 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1482*n - 1394*n - 6354 - 10694 = -2043*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 10. Suppose -5*c = -f*k + 50, -c - 54 = k - 6*k. What is the remainder when k is divided by 5 + (-2)\/(-3 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - r**2 - 1. Let m(c) = 10*c**3 + 6*c**2 + 6. Give -m(x) - 6*q(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - 30 - -1 - (-7 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2435 is divided by 810.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.2, 4\/7, 0.6, -230, -21 in descending order.\nAnswer: 0.6, 4\/7, 0.2, -3, -21, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2. Let h = -4169\/168 - -174\/7. Let n(q) be the third derivative of q**2 + 0 + 0*q + 0*q**3 + h*q**4. Determine d(n(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-2) - 5\/(-10). What is the derivative of 5 - 5*d**4 - s + 5 wrt d?\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 66*a**2. Let j(y) = 6*y + 9*y + 6*y + 5*y - 22*y. Calculate j(t(i)).\nAnswer: 264*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/4 - (1 - 1). Suppose 420 = -z + j*z. Find the third derivative of 3*s**2 + 70 - z - 6*s**5 wrt s.\nAnswer: -360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1237*j + 569. What is z(-1)?\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73 and 17009.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9944.\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-4))\/((-2)\/8). Suppose 5*t - t + 84 = -v*a, -3*a - 5*t - 53 = 0. Is 9 a factor of (-1245)\/(-25) + a\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 0*b**2 + 3*b**2 + 3*b in the form p*b**2 + s + g*b and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233 (base 4) in base 2?\nAnswer: -1101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (3 - (-10 - -8)) - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5324 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -104 + -25?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 220*r + 6762. Determine c(-34).\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037444 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbxorxxrroornnbrxx. What is prob of sequence bnox?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-21)\/252)\/(((-324)\/16)\/9)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.117 + -0.217. Let x = -13.900000818 + o. Round x to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09086*-16\nAnswer: -1.45376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 6*v**2 + 11*v - 4. Let n be g(-6). Let a = 2723 + n. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -439 greater than -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwkwkwwwkkwkrukkl. What is prob of sequence kwrw?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00228342895 rounded to five decimal places?\nAnswer: 0.00228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 30\/(-9)*6\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x. Let y be z(4). Let u(p) = 1250*p + 3751. Let n be u(-3). Sort y, -7, -2, n in descending order.\nAnswer: y, n, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0303 + -0.0163. Let n = d - -0.046600241. What is n rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from {n: 3, w: 2, h: 2, p: 4, m: 1, l: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 40*b**2 + 116*b - 227. Give w(2).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 56 + 1 + (-13)\/((-13)\/5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 4:22 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + ((sqrt(117) - (-4 + sqrt(117) + 1)) + 0)*-5*5)*1)**2.\nAnswer: 6241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - (-1 - -2)) + (-3)\/3. What is the units digit of (3 + n)*106*(-4)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t**3 + t**2 + t - 1. Let a(f) = -36*f + 757. Let o be a(21). Determine s(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 392.1 - 462. Let g = 70 + w. Which is smaller: 20 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4605*w + 189514 = -7166*w for w.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 89\/4 + (-1)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 12) to base 5\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 15 = -2*u, -3*a + 21 + 0 = 4*u. Solve -2*f - 4 = o + 5, a*f + 3*o = -21 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -101*o - 1\/10*o**3 - 6\/5*o**2 + 3\/100*o**5 + 1\/5*o**4 + 0. Determine z so that g(z) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2914527 divided by 4477\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*o - 431 = 30*o + 4057 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8247278 divided by 1222\nAnswer: 6749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*l + 19*l - 8*l + 2*l - 6 to the form j + h*l and give h.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + 176. Suppose -3*p + j = 2*p. Let h = -15 + 22. Calculate the highest common divisor of p and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1683 and 1099.\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2134.1822 and -0.09437?\nAnswer: 2134.08783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -2 + sqrt(272)*1 - (-1 + -1 + sqrt(272))*5) + 2)**2.\nAnswer: -320*sqrt(17) + 4452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*k**4 + k**3 - 26643*k**2 - 24208952*k wrt k.\nAnswer: 552*k**2 + 6*k - 53286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + y - 14 = 0, l - 13*y + 10 = -10*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6939 + -1588. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -17*p**2 + 39*p - 10. Let v(r) = 8*r**2 - 19*r + 6. Let w(h) = 5*v(h) + 3*y(h). Find the second derivative of w(x) wrt x.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1035200555 - -2?\nAnswer: -1035200553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*r - 5332 + 64882 = 0. Which is bigger: -396 or r?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 355, -5, -1\/5, 2 in ascending order.\nAnswer: -5, -1\/5, 2, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 553812 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 3*b - 6, 5*j + 16*b = 21*b + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.2 - 7. Which is smaller: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77373 is divided by 1335.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -522, -2, -0.2, -1\/4 in descending order.\nAnswer: -0.2, -1\/4, -2, -522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 473 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-4\/3)*x**8\/(((x\/(x**(8\/3)\/x)*x)\/x)\/x))**8 assuming x is positive.\nAnswer: x**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 19.3. Let w = v - -0.29968. What is w rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1427*b**3 + 2*b**2 - 1. Let n be d(-1). What is the common denominator of ((-435)\/108)\/(6\/(-9)) and (-4)\/34 + 20398\/n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 + 123. Let z be (6 + 180\/(-25))\/(j\/50). Solve -5 = -5*n + z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 3:27 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-23 - (0 + -11)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4672 + 2699. Round r to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s + 6. Let l(p) = -15*p - 13. Let j(g) = -4*l(g) - 9*q(g). Let w be j(-2). Solve 0 - 16\/3*h**4 - 2\/3*h + w*h**3 + 2*h**2 = 0.\nAnswer: -1\/2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65860 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 58 (b) 5 (c) -2\/9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924968578 to the power of 1\/2, to the nearest integer?\nAnswer: 43874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**6\/5 - 77*f**5\/60 + f**4\/2 + 4*f**3\/9 - f + 6. Find g, given that m(g) = 0.\nAnswer: -2\/9, 0, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s\/(s\/(s*s**(1\/4))))*s)\/s))**(1\/14)*(s*s**(2\/7))**16*(s**(-1)*(s\/(s*s**(-7))*s*s)\/s)**22 assuming s is positive.\nAnswer: s**(9781\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 145, 228, 311?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) 5 (c) -0.38 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 1:21 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(52 + 0) - 13200\/(-780).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -16*v**2 - 19*v. Let c(t) = -46*t + 6*t - 47*t**2 - 16*t. Let f(b) = -4*c(b) + 11*n(b). Find the second derivative of f(z) wrt z.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -16. Let a = 6 + 2. Suppose a*m - 3*m - 25 = 0. Solve o + 1 = f*s, 5*s + 4 = -m*o - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, p: 6, g: 2}. What is prob of picking 1 g and 1 p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*r - 1094*r - 265*r - r**4 - 9 - r**2 + 10 as w*r**2 + l + t*r**4 + n*r**3 + h*r and give h.\nAnswer: -1483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-five halves of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 1631*f**5\/10 - 1525*f**4\/6 + 3*f + 346. What is the third derivative of g(p) wrt p?\nAnswer: 19572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 33, -408\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 5*j - 3. Let n be w(3). Let p = 10 - 9. Put n, p, 5 in descending order.\nAnswer: 5, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + m - 4*m**3 - 459*m**4 - m**2 + 455*m**4 to v*m**3 + g*m**4 + p*m**2 + y*m + f and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -102021111210 (base 3) to base 4\nAnswer: -312030210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14070 + -14044. Calculate the remainder when 1858 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 165 + -151. Let i be (10 - (p + -4))\/(1*-1). Is i at most as big as 3\/142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*(111\/21 - 1). Let h be ((-4)\/3)\/(2\/a). Let u = h + -6. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -19*q**2 - 1. Let w(p) = -33*p**2 + 8*p - 4. Let v(k) = 125*k**2 - 30*k + 15. Let j(u) = 4*v(u) + 15*w(u). Determine j(n(s)).\nAnswer: 1805*s**4 + 190*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzgzzgzgq. What is prob of picking 1 q and 1 z?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 62*a**2 - 29*a - 97. Let r be (32\/(-20))\/(28\/70). Does 29 divide z(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/((a**7*a)\/a)))\/a**(2\/7) assuming a is positive.\nAnswer: a**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23387023 is divided by 23387012?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 - 57. Let k be f\/(-2 + (2 - -4)). Which is the nearest to 1? (a) k (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 2:49 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t - 3*o, 20 = 5*t - 3*o + 4. Let g = 0.006 + -0.056. Which is the closest to -0.1? (a) g (b) -4\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5184, -5182, -5180, -5178?\nAnswer: -5176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 959598880?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 704 - 2835\/4. Suppose 0 = 5*s - 6 + 1. What is the common denominator of z and s - 2\/((-132)\/(-5))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 3:52 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -27. Let m = i + 0. Let z(r) = 5*r - r - r**2 + 0*r. Let a(n) = n**2 - 3*n. Calculate m*a(u) - 2*z(u).\nAnswer: -u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/(-16))\/((-1)\/(-6)). Let u = d - -8. Solve 0 = 5*o + 3*m, 4*o + u = -0*m + m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + sqrt(245)*1 + sqrt(245) + 3)**2 + 6*(-1*sqrt(245)*1)**2.\nAnswer: 224*sqrt(5) + 2510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 186 + -190. Put 1, -31, v in descending order.\nAnswer: 1, v, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 - j - 8 + 125*j**3 - 5*j**4 + j**2 - 40*j**3 - 45*j**3 - 42*j**3 as r*j**2 + f*j**4 + d*j + p + b*j**3 and give p.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 87 = 3*v + 3*q, -4*q = 2*v - 60. What is the greatest common factor of 28 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*y + 6631 - 13324 - 7077 = 0. Calculate the highest common factor of 425 and y.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (-5)\/(-10))\/((-2)\/2). Let u = -0.01 - 0.39. Sort 1, o, u in ascending order.\nAnswer: o, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 25 = -144*p + 146*p, 5*a - 25 = -5*p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 9:25 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 4*s**2 + 5*s + 7. Let f be n(5). Let x be (-2)\/((-18)\/21)*30. Let d = x + -48. Solve -f = 3*l - d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + (-160)\/(-5) + 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 + 2*w**2 + 221630*w + 17*w**3 - 221574*w in the form m*w**3 + c*w**2 + j*w + s and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) 0.22378 (c) 15.1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310 (base 10) to base 3.\nAnswer: -102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 291.8 + -54.8. Let a = c - 236.9999976. Round a to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1045*a + 1027. Let w(o) = o - 12. Let p(l) = t(l) - 2*w(l). Differentiate p(j) wrt j.\nAnswer: 1043","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*y**2)*(-2681 + 2681 - 40*y)*(-3*y + 8*y - 8*y) as b*y**4 + q*y + n*y**2 + k*y**3 + z and give b.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2, -1, 206, -5 in decreasing order.\nAnswer: 206, -0.4, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4\/7 - 26602*v**3\/7 + 117935532*v**2\/7 - 24890010696*v - 174348037008\/7 = 0. Calculate v.\nAnswer: -1, 4434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - n**2. Let q = 5 - 5. Let y be w(q). Solve 0 = -y*x + 3*x - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 9:47 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a microgram in nanograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*(2 - 1)*-49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -260*x**3 + 5*x**2 - 66*x - 864. Is r(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2864 is divided by 235.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 7*d**2 + d + 3. Suppose l - 5 = 2*l. Is 24 a factor of c(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4302250 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15230, 8, -2, 9.\nAnswer: -2, 8, 9, 15230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-8 - -3 - -2) + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 530 - 315. Let j = m + -213. What is the biggest value in 0, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1800\/70)\/(-9))\/(6\/(-21))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + p - 1. Let d(y) = -6*y**2 - 209*y - 4. What is -4*b(n) + d(n)?\nAnswer: -2*n**2 - 213*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 603 = 638 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -26*q - 2. Let p(b) = b. Let k(s) = -10*p(s) - z(s). Let u(l) = 1884 + 3*l**2 - 3862 + 1978. Calculate u(k(x)).\nAnswer: 768*x**2 + 192*x + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.79 - -0.21. Let l = -11.61 - -32.635. Let w = q - l. What is w rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:08 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 184 and 180 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.154 times 0.4?\nAnswer: -0.0616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -9*k**3 - 239*k**2 - 1373*k + 440. What is a(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-4))\/(2\/(-746))*216\/180. Calculate the highest common factor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 v, and 1 s when three letters picked without replacement from {v: 1, x: 1, s: 1, g: 2, n: 1, m: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 6:51 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147156, 588624, 1324404, 2354496, 3678900, 5297616, 7210644?\nAnswer: 9417984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 7. Calculate the remainder when 15 is divided by r(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -131 + 134. Let m(g) = g**2 - 2*g - 1. Give m(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 + 3*j - 3. Let a be l(-3). Suppose 3*z + 59 = 347. Let q be z\/(-1 - a\/45). What is q rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**3 + 5*i**3 - 5*i**3)*((0 - 2 + 1)*(-3*i - 2*i + 3*i) - 3*i + 64 - 64)*(0 - 3 - 2) in the form u + k*i**3 + c*i**2 + z*i**4 + f*i and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -3*d**2 + 5\/6*d**3 - 1\/10*d**5 - 28*d + 2 + 1\/4*d**4. Factor w(r).\nAnswer: -(r - 2)*(r - 1)*(2*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6038 by 70.\nAnswer: 3019\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 348710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 5*v**2 + 35*v - 171. Let c be z(6). Solve -2*l - 8 = -3*u, -c*l + 4*u = 13 - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375887 divided by -379?\nAnswer: -375887\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 9) to base 7\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/18 + (-553)\/(-63). Suppose t = -3*q + 4*q + 3*n, -4*q - 2*n = -16. Suppose q*v = v + 48. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827 is divided by 51.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17873 - -17513.65. Let i = s + 6.35. Let a = 353.00143 + i. Round a to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45932 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*w = -14, w = 3*u - 0*w - 11. Let j(f) = -2 - f**2 + u*f**2 + 4*f - f - 4*f. Let i be j(3). Solve 5*q = t - 18, -i*t + 4*q + 26 = -9*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17*20\/24 - 2\/12. Suppose 532 + 2240 = x*f. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 5*x - 0*x. Let i be (40\/75)\/((-24)\/x + -2). Which is smaller: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15480061719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpjjppppjpp. What is prob of sequence jp?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88581.\nAnswer: 3, 29527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -105, -211, -317, -423?\n\"Answer: -106*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s + 1. Let t(y) be the first derivative of -y**5\/120 - 10*y**3\/3 - 18. Let l(f) be the third derivative of t(f). Give h(x) + 6*l(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -23905*i + 645427. Give u(27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 13.97373?\nAnswer: 13.87373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -83*d - 35. Let n(s) = -16*s - 7. Give -11*n(x) + 2*o(x).\nAnswer: 10*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((89 - 168 + 87)*(-2*w + 0*w + 4*w) - 22*w + 36*w - 20*w)*(3 + 2 - 6) + (-3 + 2 + 3)*(3*w - 4*w - w).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 0*g - 5*g + 1 - 6 + 7*g - 5*g. Give v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -32\/7, 1734 in decreasing order.\nAnswer: 1734, -3\/2, -32\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14975 is divided by 7454.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 19, -2\/17, -1\/1589, 2 in ascending order.\nAnswer: -2\/17, -1\/1589, 4\/3, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - 4.7. Let y = -14 - -16. Let l = -4 + y. Sort 0.2, l, f in decreasing order.\nAnswer: 0.2, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13301747?\nAnswer: 13301747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 635, 6009, 20597, 49007, 95847?\n\"Answer: 768*p**3 - p**2 + p - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v + v**2 + 71 - 137 + 66. Determine n(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 14340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1999690.\nAnswer: 2, 5, 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62643768*c**3 - 40938*c + 331 wrt c?\nAnswer: -375862608*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 49, 96, 143, 190, 237?\n\"Answer: 47*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 15.9 (b) -0.3 (c) 3 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -68, -5, 50, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -549978 by -641.\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039599 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484 = 3*y - 14*y. Calculate the remainder when 393 is divided by y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17767047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 2530.\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 9*f - 4. Let m be n(-7). Let r = -20 + m. Calculate the remainder when 32 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**2 + 47*d**3 + 2 + 3*d**4 + 57*d**3 - 108*d**3 - 3*d**2 - 4*d to the form n*d**4 + u + b*d + t*d**3 + i*d**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 31302 + 2620. Is 119 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2936, -2919, -2990, -3149, -3396, -3731?\nAnswer: -4154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.975 and 0.03.\nAnswer: -0.02925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 16*c**2 - 168*c + 861. Give n(6).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3, -2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**3\/3 + 5986*c**2\/3 + 52104*c = 0.\nAnswer: -26, 0, 6012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.56385731 to the nearest integer.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 171072 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 38*o**2 - 15*o + 6. Calculate the lowest common multiple of 10 and i(2).\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 8, -5, -8, -515 in descending order.\nAnswer: 8, -5, -7, -8, -515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-4) + 1)*-2. Suppose 5*s - x*q = 24, -16 = -2*s + q - 3*q. Let l = -4 + s. Solve 5*d - 30 = l*n, -n + 3*d = 18 - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u**2 + 3*u**2 + 3*u**2. Let k(s) = 2*s - 9. Let r = -170 + 169. Let m(o) = -o - 1. Let a(n) = r*k(n) - 3*m(n). What is a(f(v))?\nAnswer: v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p + 4*l = 482355, 4*l = -p + 96487. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4 + 1 = -3*v, -5 = -5*v + 5*d. What are the prime factors of (-15)\/(-25) + -2 + 257\/v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 86, 129, 172?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1171182325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901680*x = -902113*x - 17753 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3370 a factor of 76747378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-274571272.\nAnswer: -2196570176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 179516.\nAnswer: -2154192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 + 74 = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.22 + -0.15. Let w = r - 0.17. Let t be 24\/(-3)*3\/(-12). Which is the second biggest value? (a) -5 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 - 61. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1859556 + 929762 - 4*w**2 + 929798.\nAnswer: -4*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 16 = i, i + 4*i = -2*w + 5. Let d = 2 - 1. Let a = 3 - d. Sort w, 3, a in descending order.\nAnswer: w, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - a**2 - 2*a - 8. Let r be o(0). Let j = -2 - r. What is the third derivative of -2*c**4 + c**4 - 6*c**j + c**4 - c**2 wrt c?\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 28, 0, -4 in increasing order.\nAnswer: -4, 0, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10638*c**3 - 2*c**2 - 111*c + 9 wrt c?\nAnswer: 63828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 6 = -3*j, 11 = a - 6*j - 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (64\/80)\/(((-2)\/5)\/(-1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 94096434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 380, 637, 894, 1151, 1408?\n\"Answer: 257*d + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131 + -56. Let w = x + -597\/8. Which is the closest to -1? (a) -7 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 79420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let p(a) = 0*a - 4*a - a. Give p(o(h)).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 232083 and 8?\nAnswer: 1856664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*g*l**3 - 36*a**3*g*l**2 + 6*a**3 + 7*a**2 - a*g*l - 4*a*l**3 wrt a.\nAnswer: 6*g*l**3 - 216*g*l**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.1359 + 0.02\nAnswer: -1.1159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q*y**3 - 16*q*y**2 + 5*q*y - 11*q + 5*y**3 + 3*y**2 - 1520*y with respect to q.\nAnswer: -y**3 - 16*y**2 + 5*y - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.3 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -2 - -1 - (4 + 3 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w - 2*i - 5, 2*w = 3*i + 2. Which is bigger: 1\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -207.547 + 217.07. What is d rounded to one dp?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*h*r - b*h + 157*b*r**3 + h*r**2 - 2*r**3 - 491*r**2 with respect to b.\nAnswer: -2*h*r - h + 157*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4 (b) 0.2 (c) -69859 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 17 - 27 = 0, -17 = -3*v - 4*w. Suppose 28 = 4*r - 4*l, -r + 23 = 3*r - v*l. Solve -4*h + 5*k - r*k = 15, -2*h + k = 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-38) - (-1)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(8\/(-12)) - -3. Let f be ((-90)\/(-12))\/(m\/20). Let p = 35 - f. What is the remainder when 48 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 268\/56)*2*-1. What is the nearest to 5 in 5, t, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 691?\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/15 + 256*w\/15 = 0. Calculate w.\nAnswer: -128, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 298 - 188. Let g be j\/4*(-1 + 9). Calculate the lowest common multiple of (12\/(-8))\/((-15)\/g) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 - 77 = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uaaruaa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25921547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1048, 969, 904, 859, 840, 853?\n\"Answer: q**3 + q**2 - 89*q + 1135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 4*j**3\/3 + 85. Let s(a) = 6*a**2. What is s(y(u))?\nAnswer: 96*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 22 + 10 = -4*w, 3*q + 27 = -3*w. Let m = -3977.6 + 3979. Which is the second biggest value? (a) 4 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.152085 meters in nanometers?\nAnswer: 1152085000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-13))**44*(((v\/(v**(-22)\/v))\/v)\/v)\/v**(-28) assuming v is positive.\nAnswer: v**666","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-2\/7)*f)**(2\/33))**(-6\/13))**(-6\/11) assuming f is positive.\nAnswer: f**(384\/11011)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrobblbbjoxxxoo. What is prob of picking 1 x and 1 b?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 33 (b) 4\/7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9310 is divided by 194.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 37*o + 26. Calculate s(-41).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = -5*q - 0*q - 4*l, q + 55 = -3*l. Is 8\/q - (-36378)\/26 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2 - 10. Suppose -32 + h = -4*z. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1313 + 1296. Put 7, -3, x in ascending order.\nAnswer: x, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -189*j**2 + 601*j**2 + 1357*j**2 in the form y + b*j + m*j**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*h - 4. Let p = 31 - 9. Calculate the least common multiple of -2 - (h - 23) - -1 and p.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 564, 1190, 1874, 2616?\n\"Answer: 29*q**2 + 539*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4)*(-5*c + 2*c + 0*c + 41*c - 13*c - 12*c + (4 - 4 + 2)*(c + c + 0*c) + 17 - 12*c - 17).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*f**4 - 25*f**2 - 7*f**4 - 4*f**3 + 7*f**2 wrt f?\nAnswer: -24*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 2:18 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-15)\/(-42) + 31\/(-62))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + h - 170735 + 170773 = 0, 0 = 3*i - 2*h - 67 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -286110 (base 12) to base 2.\nAnswer: -10100100100100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**3 + 2*m**3 - 206*m**2 + 205*m**2 + 13 + 6*m**4 - 10*m**3 to the form f + k*m**3 + g*m**4 + b*m**2 + s*m and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6240 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/3*2\/(192\/194) and 17\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -248733\nAnswer: -4\/248733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8.20149 times 3\nAnswer: 24.60447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 775 - 435. Let q be (-1)\/(-4)*j\/5. Solve r = -4*f - q, 0*r = -3*f - r - 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -26716*x - 53436. Determine i(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -1\/38, 21?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 11 (c) 3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m + 59*m + 300 = 0 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1 - 3 + 13*z - 11*z + 119*z**2 + 1. Let f be w(1). Suppose 3*o = -0*o + f. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 not equal to 110860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2 + 164*f - 2880 = 0. Calculate f.\nAnswer: 20, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4226 and 10?\nAnswer: 21130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2157 + 2161. Solve c*r + 5 = 3*r, 20 = 2*g - 2*r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-3 - -3)) + -8 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.28 - -0.3. Let d = 152.63 + -3.63. Let r = d + -147. Is h < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -371513*m**4\/12 + m**3\/3 - m**2\/2 + m. Let l be z(1). Let p = 7071512 + l. Round p to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**4\/4 + t**3 + t**2 + 3*t - 8. Let x be s(-3). Let c(u) = -u**3 - 4*u**2 - 2*u - 1. Calculate c(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42700 = -3*n + 10*n. List the prime factors of n\/75*(-1)\/(2\/(-3)).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/49 - 11\/14?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.1.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from {n: 7, i: 8, j: 1, f: 1}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1952?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16591481.\nAnswer: 1327, 12503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*j + 8 = 0, -5*j - 6 = -w - 2*j. Suppose -3*s + s = w. Suppose s = -5*z + 4*c + 377, -10 = -4*c - 2. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56407*d = -56427*d + 60. Solve 2*x = 3*k - 11, -9*k + d*x = -7*k - 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 - -111100111?\nAnswer: 111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 2)*7\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159416, -159421, -159428, -159437?\nAnswer: -159448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45405 or -45429?\nAnswer: -45405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4377 and 4574.\nAnswer: 8951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 451, 893, 1335, 1777, 2219?\nAnswer: 2661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u. Let m = 2 + u. What is the remainder when 3 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9877965 and 23048585?\nAnswer: 69145755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -5*m**6\/6 + 118*m**3\/3 + 8*m**2 + 52*m - 3633. What is the second derivative of s(l) wrt l?\nAnswer: -100*l**3 + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144465851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-40)\/15)\/(-8)*-6. Let o be (-416)\/(-26) + l + (-1)\/(-1). Let k = o - 9. What is the remainder when 23 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -764*d**2 - 10*d - 959. Let f(p) = -758*p**2 - 8*p - 961. Let h(y) = -6*f(y) + 5*l(y). Find the second derivative of h(g) wrt g.\nAnswer: 1456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**3 - 2*u**2 - u + 2. Calculate h(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, -2\/11, -1.82815 in decreasing order.\nAnswer: -0.14, -2\/11, -1.82815","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 11440 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*((-30)\/(-9) + -3). Suppose -224 = -h*s + t, -4*s + 244 + 204 = -5*t. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000100101110001 (base 2) to base 12\nAnswer: 18441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 50 = 2*y, -4*y = z + 10 - 2. Let o = z - 0. Let n be -2*42\/8*-8. Calculate the greatest common divisor of n and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-14))\/(-2)*7 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 9:17 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001277 rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**2 - 5*a**2 + 2*a**2 + (0 - 1 + 3)*(-4*a**2 + 3*a**2 - a**2) + 5*a**2 - 18*a**2 + 9*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*q**3*w**2 + 807*q**3*w - 2*q**2*w**2 - 96*q**2 - q*w**2 + 4*w**2 + 8*w wrt q.\nAnswer: -390*w**2 + 4842*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 822517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 3\/10, 30, -1?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2345, -9318, -20955, -37262, -58245, -83910?\n\"Answer: -j**3 - 2326*j**2 + 12*j - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13787 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -190*r - 231*r**2 - 230*r**2 + 694*r**2 - 237*r**2 in the form b + z*r**2 + q*r and give q.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4115743 - -384257. What is k rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*u**2 - 30 + 30)*(2*u**2 - u + u).\nAnswer: -34*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 22 - ((7 - -11 - 2) + -11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-4)\/(-3))*(-81)\/(7047\/290).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 57 (c) 0.1 (d) 2\/15 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1321123 - -13?\nAnswer: 1321202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16163900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - d - 2*d = 260, -3*d + 671 = 5*b. What is the remainder when b is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.8 - 52.8. Let z = -53.1 - x. Let j = 1.1 + z. Which is the smallest value? (a) -0.1 (b) j (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10116514 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 8. Give j(11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 984 + -1408. Let h be ((10\/2)\/(-20))\/(2\/m). What is the common denominator of h\/(-20)*(-2)\/12*-8 and -47\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 471*m**2 - 103*m**2 - 366*m**2 - 69 + m**3 in the form h*m**2 + w + n*m**3 + v*m and give w.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 27*v = 254. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1686*c**2 - 842 wrt c?\nAnswer: -3372*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + a + 1)*(-95*a - 106*a + 47*a)*(1 + 3 - 8).\nAnswer: 616*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 124\/3 - 41. Which is the closest to d? (a) -2\/9 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3\/7 - 25880*y**2\/7 - 2*y\/7 + 25880\/7 = 0.\nAnswer: -1, 1, 12940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/59382 and 50\/6502329.\nAnswer: 13004658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2955498 divided by -7\nAnswer: 422214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 92793 + 10*c - 92793. Let n(s) = -7*s**2 - 4*s. Let j(w) = w**2 + w. Let h(b) = 4*j(b) + n(b). What is h(u(i))?\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/15 + 16*p\/15 - 32\/15.\nAnswer: -2*(p - 4)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7660 + 92868.\nAnswer: 100528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 8739970 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 256340*u*w**2 + 60*u*w - 237278446*w**2 wrt u.\nAnswer: 256340*w**2 + 60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -z + 2*z. Let q = z - 3. What is the units digit of 2 - ((-1 - 1) + q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99138825\/64 + 1547983. Let s = k - -4249\/4. What is the common denominator of s and -95\/28?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 8746577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*d + 95606 = 1929*d - 22406 + 13822 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3384 + 119*d**3 - 3384)*(3 - 1 + 0 + (-4 + 5 + 1)*(1 - 1 + 1) + 2 - 2 - 1 + 2 - 3 + 3).\nAnswer: 595*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 66*a + 404. Let f be j(-25). Calculate the greatest common divisor of f and 604.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1080\/810)\/(16\/(-15)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a factor of 21342046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 18*p - 37. Let u be l(9). Let m be (-3 - 0 - -7)\/5*u. Let g = m + 19. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021493 rounded to six decimal places?\nAnswer: 0.000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - u - 4*u)*(-2 + u**2 + 2) + ((-2 - 2*u + 2)*(2 + 2*u - 2) - 2*u**2 + 5*u**2 - u**2)*(36 - 8*u - 36).\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.055 and -107?\nAnswer: 5.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3 - 2 + p + 4*p. Let f(d) = -2*d**2 + d - 1. Let b be f(1). Let t = b + 1. Determine v(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12304 = -26*f + 24791 - 10849 for f.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2. Let i(u) = 5*u**2 - 16. What is d(i(k))?\nAnswer: -25*k**4 + 160*k**2 - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/10, -0.2, 5, 1424, -2\/3, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -49, 79, -1, -2 in ascending order.\nAnswer: -49, -3, -2, -1, 1, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4\/9, -380 in ascending order.\nAnswer: -380, -2, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -378 - -374 - (-23 + 0)*-1. Sort -4, 7, 3, 2, k in decreasing order.\nAnswer: 7, 3, 2, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1204*s**3 - s**2 + 5*s + 5. What is the thousands digit of v(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 2. Let i(y) = -3*y - 5. Let k(r) = -15*b(r) - 6*i(r). Let g(o) = 4*o + 11. Let x(w) = 2*w + 6. Let m(n) = -6*g(n) + 11*x(n). Determine k(m(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1574 - 7951 = -z + 3*a, -31925 = -5*z - 5*a. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13007 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 5*j - 4. Let r be o(-6). Let y be 58\/15 - 657\/(-2190). Determine z, given that -10*z**3 + 1\/6 - 2*z + y*z**4 + 23\/3*z**r = 0.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/259?\nAnswer: 3\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 3*a + 66 = 3*z, -5*a = z + 6. Suppose q + 44 = -q - 4*p, 3*p + 41 = -2*q. Let i = q - z. Solve -3*m + m + i = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 7\/4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*j**2 - 4)*(-2*j**2 - 2*j**2 + 6*j**2) + 6*j**4 - 2*j**4 + 3*j**4 in the form d*j**3 + k*j**4 + h*j + c*j**2 + g and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 27\/14093870 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102 or 1291?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96525588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is (-227052)\/(-14469)*(2\/4)\/((-1)\/(-13))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -6596133\nAnswer: 11\/6596133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -331654975*i*r*u**5 + 2*i*r*u**3 + 35*i*r*u**2 - 248*i*r*u - 2281*i*u wrt u.\nAnswer: -19899298500*i*r*u**2 + 12*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 53 = -x - 40, -k + 1 = -2*x. Solve -11*g + 6*g - x = -3*w, 2*w - 9 = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 3*y + y. Suppose 0 = -3*p + p + 4*o + 26, -7 = -3*p - 2*o. Find the third derivative of p*k**3 + 52 - 14*k**2 - y + 47 wrt k.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 3)*(12 - 2 + 4)*(v - 4*v + 2*v) as k + t*v and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a - 2 = 0. Let y be a + (0 - (-14)\/8). Let r = -46.746 - -45.846. What is the nearest to -0.1 in 1\/2, r, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4669)\/1610 + 8*1 - 1\/2. Which is the biggest value? (a) 0 (b) 9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1780.0000003101 + 1780. What is u rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*u + 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*i - 211*i + 2*u = 66, 55*i = 2*u + 105 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -28.6. Let a = j + -3.4000012. Round a to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2454, -7168, -23204, -45654, -74518, -109796, -151488?\nAnswer: -199594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4874*i + 1727880 = -4789*i. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56285*u**3 + 1648*u**2 + 24*u?\nAnswer: 337710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30\/11 + 815\/44. Calculate the common denominator of c and ((-2)\/25)\/(15\/((-8325)\/12)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 5*n**4\/16 + 5*n**3\/4 + 5*n**2\/4 + 16. Determine d, given that i(d) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((0 + sqrt(1088)*-1 + 0)**2 + (sqrt(153)\/sqrt(144) + 0 + sqrt(1700) + sqrt(1700))**2).\nAnswer: 386835\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46567 is divided by 15515.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -574661269472 and 5.\nAnswer: -574661269467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 22) + (19 - -3)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(243) - (1 + sqrt(243))) + sqrt(243) + 0 - -5*(sqrt(243) + -1)) + 3)**2.\nAnswer: -108*sqrt(3) + 8749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 (base 16) in base 7?\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 257251529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144150 and 31775?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/80*(-5)\/6. Let x = 213 + -131. Let q = x - 81. Which is the nearest to -1? (a) 0.1 (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -182*h**4 - 162*h**3 + 1286 wrt h.\nAnswer: -728*h**3 - 486*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -8*q**4\/7 - 5*q**3 - 52*q**2\/7 - 31*q\/7 - 6\/7 = 0?\nAnswer: -2, -1, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, d: 8, m: 3, q: 1, v: 5}. Give prob of picking 1 m and 1 d.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -3637, -57?\nAnswer: -3637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, 54, 85?\n\"Answer: 31*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -52*n**2 - 9*n + 3. Let u(h) = 211*h**2 + 34*h - 11. What is 15*s(j) + 4*u(j)?\nAnswer: 64*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -d54b56 (base 14) to base 15\nAnswer: -9726a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17\/27 - 139\/135. What is the closest to z in 2\/11, -1\/2, 3\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2507352, -2507352, -2507350, -2507346, -2507340, -2507332?\n\"Answer: h**2 - 3*h - 2507350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-7 - -3 - (2 - 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494749863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 78660, 79336, 80008, 80682, 81364, 82060, 82776, 83518?\n\"Answer: i**3 - 8*i**2 + 693*i + 77974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407*q + 176366 = 134*q. Solve -q*t + 42 = -333*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11500571.\nAnswer: 47, 179, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/60 and 107\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 178 - 40*d**3 - 125*d - 5\/2*d**4 + d**5 + 125*d**2. What is h in f(h) = 0?\nAnswer: -5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88934999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17770457 (base 8) to base 10.\nAnswer: -4190511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 11*o**2 - 8*o + 24. Let x be l(-8). Let a = -103 - x. Does -3\/29 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-183)\/(-61)*(-16)\/3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/11*127776\/2112?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -61.\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4 + 3 - y + 2. Give m(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6385*w. Let o(c) = 1961*c. Calculate o(a(n)).\nAnswer: -12520985*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 + -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26387365 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*t**3 + 96*t**3 + 18*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -826 + 831. Let c(z) be the first derivative of 0*z + 0*z**4 - 4\/3*z**6 + 0*z**5 + m + 0*z**2 + z**3. What is the third derivative of c(f) wrt f?\nAnswer: -480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*u + 3*u - 14, u - o = 11. Calculate the greatest common divisor of u and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {h: 8, f: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19730 - 2*r**2 + 2*r**2 - 21*r**3 - 19730.\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2*z - 14 = -0*z, -12 = -4*z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4\/9 + 880*a**3\/9 + 884*a**2\/9.\nAnswer: -4*a**2*(a - 221)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 292 (b) 3 (c) 33 (d) -0.1 (e) -1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389114 is divided by 224?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + -3)\/4*-1. Solve -c + 6 = r*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -18. Let v = -1.4 + 0.4. Let j = 0.7 + v. Which is the third biggest value? (a) x (b) j (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 7*d. Let z be w(7). Let y be (0 + z)\/(1\/(-1)). Sort -4, y, 2 in decreasing order.\nAnswer: 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -23 + 104 - 6*g - 79. What is l(5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4482 divided by -498.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0686418023 - -0.06864. Round c to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 13*n**2 - 22*n - 42. Let u be r(-14). Suppose 555*f + u = 569*f. Calculate the remainder when 166 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0 = 3. Is 65*u\/(3 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28528 + 1670. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 21 + 66*k - 3*k**3 + 92 - 63*k to s*k**2 + v + w*k + o*k**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*w - 13 = -13. Let r = -13 + 18. What is the nearest to w in 0, 2, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*n = 4927, -2*n = -19*y + 20*y - 1659. What is the remainder when y is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-14))\/((-74)\/(-259))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 0.4, 26, -0.1?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 87ebde (base 15) to base 7\nAnswer: 106034054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -157 (b) -0.28 (c) -6 (d) 0.4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -56. Suppose 0 = -2*y - 2*y + a. Solve -u + y = 2*u, 2*x = -2*u + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 2*i**2 + 3*i + 1. Let q(p) = -p**2 + 2*p + 11. Let w be q(4). Determine x(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -9845366?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -187, -747, -1681, -2989, -4671?\n\"Answer: -187*q**2 + q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 1 (c) 8\/129149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 66, 148, 264, 414?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4 - 1339*i**3 - 129962*i**2 - 482516*i + 1495608 = 0. What is i?\nAnswer: -1234, -101, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 355558, 711112, 1066666, 1422220?\n\"Answer: 355554*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 2*c - 4*c**3 + 2*c + c**2 - 4*c**2 + 2*c**3 + c**4.\nAnswer: (c - 2)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 9:15 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2332, -5222, -8690, -12742, -17384, -22622, -28462?\n\"Answer: -o**3 - 283*o**2 - 2034*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from keeke. Give prob of sequence kek.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61451.11 millimeters to nanometers.\nAnswer: 61451110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6650, -31 in increasing order.\nAnswer: -31, 2, 6650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 2 + 1 + 0. Solve 0 = n + n - q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**2 - 2*p - 27. Give q(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 l when three letters picked without replacement from bbbblbl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 195\/2, 13, -82 in increasing order.\nAnswer: -82, -4, 13, 195\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 1 = -15 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 594990 by -59499.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-6) + 31\/6. Solve 8 = -4*u + m, 10 = 3*u + l*m - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 530800320 and 960?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 27*h**2 + 16*h + 22. Let j be u(12). Let y be j\/10 - (-3)\/(-15). Suppose -4*t + y = t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104739038?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/4 - 1 - -7. Find the second derivative of -4*n**i + 10*n**4 + 0*n - 3*n wrt n.\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 3:02 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 7*a - 20 = -9*a, 0 = -4*m - 4*a + 4. What is the closest to 0 in m, 5, 14?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.201 + -0.471. Let v = q - -8.672. Let y = 11\/24 - -1\/24. Which is the biggest value? (a) v (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 69*b**4 + 8398416*b**3 + 119028105*b**2 + 431920986*b + 71560776 = 0. Calculate b.\nAnswer: -121702, -7, -4\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*g - 296*g - 1419 = 1881 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -326414587\/4 >= -81603648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 6*t**2 + t - 5. Let v be y(6). Let w = -0.4 + 0.3. Let k = -137 + 136.95. Which is the nearest to v? (a) 5 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 7:08 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 687265322 rounded to the nearest one hundred thousand?\nAnswer: 687300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-1 + (-10 - -4))) + (30 - -46) + 9\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*m - 27*m - 16*m)*(-10 - 3 - 5).\nAnswer: 216*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Let z = -0.3 - -0.44. Let m = 0.04 - z. Which is bigger: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*((-2)\/(-7))\/((-44)\/(-77)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x - 3*x)*(5*x + 0 + 0 - 2*x + 0*x + 4*x - 4*x - x + 3*x - 2*x + 6*x - 3*x + (5 - 5 + 2*x)*(-1 + 3 - 1)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4023*p + 218*p + 343521 for p.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39719*r**5 - 14979*r.\nAnswer: 794380*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162.3774 litres to millilitres.\nAnswer: 162377.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -490.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 5 - 57*r**2 + 58*r**2)*(0*r**2 + 5*r**2 - 3*r**2).\nAnswer: 2*r**4 - 68*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 6 - -3 - (14 + -23).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15a703 - 2?\nAnswer: 15a701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403259 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -10884 + 33*c - 8*c**3 + 3*c**4 - c**3 + 10866 - 9*c**2 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 1. Let z(a) = -a - 4. Let t be z(-1). Let s be g(t). Let b(d) = -2*d + 56. Let v be b(26). Solve 3*w - s*w = v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 195 or 187?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -909 - -914. Put 0.1, s, -153 in ascending order.\nAnswer: -153, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30443 - -40237. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + (-6)\/(-8). Let o = -52 - -52.9. Is u at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -94\/3*c**2 + 2*c**3 + 26 + 202\/3*c.\nAnswer: 2*(c - 13)*(c - 3)*(3*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**2\/7 - 3112*l\/7 - 605284\/7 = 0. What is l?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27288 and 47754?\nAnswer: 191016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2849825 divided by -55.\nAnswer: -51815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(-35))\/z*z**(-29\/5)*z)**(4\/29))**(6\/19))**18 assuming z is positive.\nAnswer: z**(-85968\/2755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2243131*c*i**3*j - 5*c*i*j**2 - c*i*j - 5*c*j + 2*i**3*j**2 + 24*i*j**2 - 2*i*j - 17 wrt i?\nAnswer: 13458786*c*i*j + 12*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0546 and -478?\nAnswer: -26.0988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5574 is divided by 16\/2 + (-50)\/4*(-1776)\/12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - 5 = -k - 12*n, -317*k = -313*k - 2*n - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1071.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(800)*-2)**2 - (sqrt(400)\/(sqrt(32)\/sqrt(4) + sqrt(8)))**2).\nAnswer: 19125\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.43 to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11689.2 + -11689. Which is the closest to 0.09? (a) -2 (b) 2 (c) s (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.49256 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -653 (base 8) in base 6?\nAnswer: -1551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4059 is divided by 3804?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.9 - -30. Let s = -7.2529 - 0.1771. Let u = v + s. Round u to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**10*m)\/m**(-1\/3))**40)**(4\/13) assuming m is positive.\nAnswer: m**(5440\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6989 is divided by 1393.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 17. Let s be (-1 - 15\/(-21))*(-28 - -21). Solve -5*w = t*g - g + s, -5*w = -3*g - 22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*i + 5 - 3, 0 = i + l - 1. Suppose 3*a + i*b - 40 = -4*b, 2*a - 4*b = 0. Suppose a = t - 2. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1958.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-91)\/42 - -4) + (-2)\/(-12). Suppose 4*r - 7*d - 184 = -3*d, h*r - 4*d - 96 = 0. Calculate the greatest common factor of r and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 2:47 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j + 13. Suppose -2*z - 2 = a, 12 = -4*a + a - 3*z. Let u be n(a). Let r(h) = -9*h + 1. What is r(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**3 + 6*z**2 - 14*z + 1577. Let x(g) = -3*g**3 - 8*g**2 + 17*g - 1576. Let r(t) = 4*d(t) + 3*x(t). What is the first derivative of r(y) wrt y?\nAnswer: 21*y**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*w + 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 645 - 180. Suppose 0 = 3*w + 2*w - a. Suppose 5*j = 37 + w. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 + u**4 + 0*u**4)*(-3 - 27*u + 8 - 5).\nAnswer: -108*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 378600436111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5665725 divided by 9685?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**23*r*r\/r**(-2\/5)*(r\/(r\/(r*r**(1\/8))))\/r**(1\/4) assuming r is positive.\nAnswer: r**(1051\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170 and 238?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = g - 79, 96 = 3*a - 13*g + 10*g. Calculate the remainder when a is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9857492 a multiple of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003735751593 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5976 and 216.\nAnswer: 17928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24388222 minus -10?\nAnswer: 9.75611778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68132 - 559*d - 217*d**3 + 559*d + 68132.\nAnswer: -217*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2094, -4697\/4 in increasing order.\nAnswer: -2094, -4697\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 4*m**2 + 2*m - 1. Let h = -4 - -7. Let t be f(h). Let i(z) = z + 5. Let g be i(t). Calculate the greatest common factor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -52*d - 24. What are the prime factors of l(-5)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00498016 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 3:55 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*y - 2288, 3*i + 6*y - 4*y - 1716 = 0. Calculate the highest common factor of 52 and i.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2008? (a) -2 (b) -1\/4 (c) -1943\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1109475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -0.1 (b) -2 (c) -0.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/9 - 38*u**2\/9 + 44*u\/3 = 0.\nAnswer: -22, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 295 + 23*x - 69*x + 28*x + 19*x in the form a*x + p and give p.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 328537?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/((-4)\/(-2)))\/2)\/(228\/22344).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 17 + 10*u**2 + 3*u**2 - 13.\nAnswer: 12*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 7*i**2 - 8*i + 7. Let y be v(6). Let k be 9\/4 - (-5)\/(-20). Suppose -3*q = k*h - 6 - 1, 19 = -h + 3*q. Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 635830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 202\/7, -4, 0.2, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -568, 32, -20, 1, 3, 0 in increasing order.\nAnswer: -568, -20, 0, 1, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**4\/4 + v. Let g(h) be the second derivative of -h**4\/4 - 48*h. What is g(z(r))?\nAnswer: -27*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-4 + 6)) + 9 + -16\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 90, 143, 200, 261, 326?\n\"Answer: 2*q**2 + 43*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 + 235\/3. Let r = 2\/3237 + -1081\/3237. Which is the second biggest value? (a) r (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485103533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 4) to base 14.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 23*w**2 - 7*w - 25. Let m = -39 + 46. Let y(x) = -11*x**2 + 3*x + 12. Let f(n) = m*y(n) + 3*o(n). Find the first derivative of f(t) wrt t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 3*a + 4*a - 3 - 4 + 2*a. Let j be v(-10). Differentiate -5 - 5*i**3 + 13*i**3 - 7*i**j wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15 and -13709 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 - 6*o. Let m(d) = 5*d**2 - 7*d. Let h(i) = -5*m(i) + 6*s(i). What is the second derivative of h(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**3 - c**3 - 9*c**3)*(-2*c + 2 - 2)*(18 - 4 + 3).\nAnswer: 544*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2828\/3 + 3124934\/3315. Let x = s + 4434\/7735. Factor 0 - x*n + 2\/7*n**2.\nAnswer: 2*n*(n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 754112?\nAnswer: 2, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 7*d - 7. Let g be f(8). Let s be ((g + -1)\/(-4))\/(-3). Suppose s - 20 = -2*j. Calculate the least common multiple of 9 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125827*3\nAnswer: -377481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i*u - 108575*i - 533749*u + 11 wrt u.\nAnswer: i - 533749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + sqrt(216)\/sqrt(300).\nAnswer: 18*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 606*h**2 - 2210*h**2 - 1087*h**2 in the form f*h**2 + y*h + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 7:20 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -3645280 and -3644932 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 6. Let n(m) = -11*m - 53. Let t(b) = 10*l(b) + n(b). Determine t(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2709686, -2709695, -2709712, -2709737, -2709770?\n\"Answer: -4*i**2 + 3*i - 2709685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2100*z**3 + 1816*z**3 - 3710*z**3.\nAnswer: 206*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 3.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 7*p - 19 = -50, 44 = 34*f + p - 34 - 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18432720821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 301720 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtgttggtgt. Give prob of sequence gt.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12440729, 12440712, 12440685, 12440648?\n\"Answer: -5*b**2 - 2*b + 12440736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*b + 3*v, 0*b + 5*b + 4*v - 84 = 0. Let q be 11\/3 + b\/12. Which is smaller: q or 7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 - 2*g + 1. Let i be f(1). Suppose -i*v + 4 = -2*v. Suppose -q - v = 3*q. Is -1 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 13 + -21 + 1 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 20*k**2 + 49*k - 91. Let s(x) = 4*x**2 + 10*x - 18. Let m(h) = 11*s(h) - 2*v(h). Factor m(d).\nAnswer: 4*(d - 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 2043.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 459 and 59959170?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64446 * -30.3.\nAnswer: 1952713.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 42. Let o be a(10). Suppose 0 = -11*d + o - 15. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 11*u**2 + 7*u - 7. Let k be 1\/(0 - (-4 - 4)\/80). Give n(k).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbbnbbbdnbvbbbbi.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 97, 141?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929062 is divided by 1070.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(9)*2) + sqrt(35) + 5*sqrt(70)\/sqrt(2) + sqrt(35))\/(sqrt(21)\/(4*sqrt(192)))*5.\nAnswer: 1200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0 + 26*w**2 - 3\/2*w**3 + 0*w**6 + 0*w + 11\/210*w**7 + 0*w**5 + 0*w**4. Differentiate j(q) wrt q.\nAnswer: 44*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqf when three letters picked without replacement from {v: 1, q: 1, b: 2, g: 1, f: 1, j: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-400)\/80*(24\/(-10) - 4).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 19*k. Let z(t) = -926 + 1312 - 3*t - 375. Give z(y(q)).\nAnswer: -57*q + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -31. Let y(t) = -4*t - 2. Let h be y(-3). Let p be 1\/(-1*m\/h). Sort 1, -2, p in descending order.\nAnswer: 1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5529, 11056, 16583, 22110, 27637?\n\"Answer: 5527*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 245 = n + 2*n, -2*n + 170 = -2*p. Calculate the least common multiple of 18 and (n\/25)\/((-2)\/(-5)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296333385.\nAnswer: 3, 5, 19755559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.95 + -0.9. Let q = f + -0.05. Let k = 1 - q. Which is greater: k or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9678489.\nAnswer: 3, 29, 53, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 172*s**2 + 5676*s + 5676. Let d(k) = -3*k - 3. Determine 3784*d(n) + 2*u(n).\nAnswer: 344*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 6:45 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2394, -2449, -2506, -2565, -2626, -2689, -2754?\n\"Answer: -k**2 - 52*k - 2341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 1.4. Let o = 5\/2 - 31\/14. Let w = 36 - 35. Which is the closest to 0? (a) o (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8 - 258*g**3 - 20 + 267*g**3 wrt g?\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + (7 - (-4 - -6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258 and 258?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3ad89 - -142d?\nAnswer: -3995b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271571 is divided by 2226?\nAnswer: 2225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1375105360 >= -1375105360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 12 = 0, 0 = 4*p - 5*u - 265 - 244. Does 26 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -315345132*d**3 + 474801*d**2 + 12*d - 3.\nAnswer: -1892070792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 860050 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(280\/15)*(-3)\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40, -1, -42, -83?\n\"Answer: -41*q + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4741 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (28 - 6) - (13 + (6 - (-4 - -11)))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(484\/847*(-1)\/(-2))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 4*c - 3. Let n be o(4). Let z be n\/((-63)\/(-78)) + 4. What is the smallest value in -1\/3, z, 5\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 122*l - 7669. Calculate s(62).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:58 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**5\/240 + 11*n**4\/24 + 245*n**3\/24 + 2*n**2 + 1126. Factor z(k).\nAnswer: -(k - 49)*(k + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000264 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 20 = -2*y. Let s = -80.535 - -81.535. Which is the fourth biggest value? (a) 2\/17 (b) y (c) s (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*k - 63*k = -800 - 3936 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 241 - -116211?\nAnswer: 116452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-16) + 42\/8. Suppose -l*u = -1497 + 217. Let z = -144 + u. Calculate the highest common divisor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -0.6. Suppose 12 = -5*z - 8. Let k = 10\/3 + z. Sort k, 1, m in decreasing order.\nAnswer: 1, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-60)\/(-25)*(-25)\/10. Let q(j) = -531*j + 17. Is q(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 2:24 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4275, -4293, -4323, -4371, -4443, -4545, -4683, -4863?\n\"Answer: -j**3 - 11*j - 4263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 4*n**3\/3 - 22*n**2 + 120*n - 605. Factor k(q).\nAnswer: 4*(q - 6)*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311461697.\nAnswer: 1559, 199783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x**3 - 6*x**2 - 29. Let p(z) = z**3 - z**2 - 2. Give 6*p(c) - y(c).\nAnswer: -3*c**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33844696901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 2)*(33 - 34 - 9*n + 3*n) to the form f*n + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 plus -0.7?\nAnswer: 94.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11308*x**3 + 156 with respect to x.\nAnswer: 33924*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -15*o + 34 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0.3 (b) 1 (c) 4\/7 (d) 5 (e) 2\/55\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 40*s - 45. Let l(p) = -p + 1. Let r(g) = 3*b(g) + 105*l(g). What is the derivative of r(d) wrt d?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k + 7. Let c(o) = -3*o - 6. Determine -5*c(b) - 4*h(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(1 + sqrt(567)) + 0)*1 - (sqrt(567) - sqrt(567)*-1*-3 - sqrt(567) - (sqrt(567) + -1 + 2 + sqrt(567))))*-6)**2.\nAnswer: 326592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -523, -540, -559, -580, -603, -628, -655?\n\"Answer: -y**2 - 14*y - 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 122*u - 3744. Calculate w(66).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95549 + 95551. Let q(r) = -r + 5. Let f(d) = 2*d - 9. Let n(h) = 3*f(h) + 5*q(h). Let v(g) = -g. Let z(t) = n(t) + 4*v(t). Determine z(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 13*f**2 - 13*f - 31. What is q(-14)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 85. Let t be 12\/(-8) + r\/(-40). Which is greater: t or -3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 18 - 4*a - 2*a + 8*a**2 - 2*a. Is 26 a factor of d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a week in minutes?\nAnswer: 94080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 0*v + v)*(2*v - 3*v + 4*v) + (-7*v + 2*v + 3*v)*(-v + 0*v + 2*v) + (2 - 2 - 2*v)*(397*v + 165*v + 29*v) in the form d*v**2 + i + l*v and give d.\nAnswer: -1181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282761461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.505 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 108?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -15?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/(-68)*-1)\/(9076\/(-308584))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 11:26 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1531068*i = -1530882*i + 9858 for i.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/(-1))\/(-4) + 3. Suppose -2*l = -4*l - m + 62, -w = -3*m. Suppose l*b = 33*b - 20. Sort -5, -3, b.\nAnswer: -5, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 7*f + 2. Let c be j(-7). Suppose -5 = c*z + 1. Suppose -7*n + 140 - 147 = 0. Sort -4, n, z.\nAnswer: -4, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -280 + 279.99999940354. Round h to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/5))**47*(c\/(c\/(c**(-18)\/c)))\/(c\/(c\/(((c*(c\/(c\/c**(2\/17)))\/c)\/c)\/c))) assuming c is positive.\nAnswer: c**(3339\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -16615.\nAnswer: 3\/16615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3653496 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6646*s + 1428. Determine t(0).\nAnswer: 1428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 11\/21965 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 + -90 - -21) + -5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -84197529*m**2*r + m**2 + 418523*m + 2 wrt r.\nAnswer: -84197529*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - 27. Let o = i + -17. What is the greatest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9657? (a) 13\/2 (b) -2 (c) -6\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513)\/(sqrt(144)*6 + sqrt(9)))\/((5*(sqrt(108) + sqrt(108)*1 + sqrt(108)) - sqrt(108)) + sqrt(108) + sqrt(108)) + 2.\nAnswer: sqrt(19)\/2400 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12362 and 247240?\nAnswer: 247240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -3) + 16 + -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/59872 and -5\/116.\nAnswer: 1736288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8301.402mg?\nAnswer: 0.000008301402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 20 = -3*g, 4 = -3*v + v. What is the tens digit of ((-105)\/g)\/5*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + -1)\/(-4) + 3. Which is bigger: 7 or c?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3409722 and 22?\nAnswer: 37506942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -30*z + 5. Let o be u(-3). Suppose -4*s - o = -9*s. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1535.\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 223688 or 223922?\nAnswer: 223688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -396*c**6\/5 + 1375*c**4\/12 - 3921*c. Find the third derivative of a(x) wrt x.\nAnswer: -57024*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -347*f**2 + 14921*f - 5. Let b be x(43). Suppose 27 = 3*w - 3*l, -3*w + 3*l - 2*l + 17 = 0. Put w, -33, b in decreasing order.\nAnswer: w, b, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(135) + (sqrt(135) - -3*sqrt(135)) - sqrt(135)) + sqrt(135))\/sqrt(5)*4*2)\/(-6*(sqrt(324)*-3 - sqrt(324) - sqrt(324))*4).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3*v**2*x + 97*a**3*v - 2*a**2*v**2 - 85*v**3*x + 2*v**3 wrt x.\nAnswer: -a**3*v**2 - 85*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 3*j - 7. Suppose -p = 2*p + 15, -h = -2*p - 5. What is n(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -205*f**3*j**2 - 2771*f**3 - 2*f**2 - 2*j**2 - 1 wrt j?\nAnswer: -410*f**3*j - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**7\/70 - m**4\/4 - 3*m**2\/2 + 1. Let l(q) be the second derivative of i(q). Find the second derivative of l(x) wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r - 48. Let b be (400\/(-12))\/(-4) - 6\/(-9). Let u be p(b). Solve -w = u*w - 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 29*s**2 - 29*s + 669. What is a(-27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -53, -54, -53, -50, -45?\n\"Answer: i**2 - 4*i - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5 - 5 + 186*f - 174*f. Let b(d) be the third derivative of -d**5\/30 - d**2. Calculate a(b(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8320 - -4?\nAnswer: -8317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 134*r**3 + 15*r**2 - 19*r + 64. Let s be f(8). What is s rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -311?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204422 - 3?\nAnswer: -204430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 7*k + 24. Let n = 9 + k. Let j(s) = 5*s**3 + 8*s**2 + 9*s + 9. Let c(i) = -3*i**3 - 4*i**2 - 5*i - 5. Let p(l) = 7*c(l) + 4*j(l). Give p(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - (4 + -2*sqrt(48))) + 0.\nAnswer: -4 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 11) to base 4.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 330962511?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23, -14, 23, 106, 253?\n\"Answer: 3*w**3 - 4*w**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 38. Solve 0 = -4*n + 2*n + a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18 - 0 - (7 - 6). Suppose -3*f = -3*t, -r = -2*t - 4*f + 7. Let w = 7 - t. Solve 0*v + w*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 1. Let z(o) = o**2 + 3*o - 3. Suppose -2*h + h + 6 = -2*d, -d = -2*h. Let t be z(d). Put t, -2, p in increasing order.\nAnswer: p, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a - 9. Determine x(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.2 - -0.5. Let t = 108.3 + a. Let j = t + -129.000114. What is j rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/1)\/(789336\/(-18464))?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/10*(-4 + 13\/2). What is the least common multiple of 11*6\/(h + 0) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-300)\/1350)\/((-1)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -11. Suppose -2*w + 36 = -4*q, 5*w = -3*q - g + 121. Find the common denominator of 7\/22 and (-1)\/4 + w\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/p**1*p)\/p))\/(p\/(p*p**(-4)))*(p*p**(2\/5)*p)\/(p*p*p*p**(3\/11)) assuming p is positive.\nAnswer: p**(-213\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 - -1. Let s be (-1 - 2) + 6 - -17. Let r be (-2*(-2)\/(-20))\/(s\/50). Which is the nearest to 1? (a) r (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 5:00 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) + (-1 + sqrt(171) - sqrt(19) - sqrt(19))) - sqrt(19)) + sqrt(19) + (sqrt(133) + sqrt(133)*-1)\/sqrt(7) + sqrt(304) + 4 + 4 + -1.\nAnswer: 8 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/3 (b) 140 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11279*i - 778267. Give x(69).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.75 + -14.7. Let z = -0.05 + r. Let w = z + -3.8. Which is the nearest to -1? (a) 3 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 - 23. Let t = 33 - c. Which is smaller: t or 2\/161?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -5 (c) -1\/3 (d) -2\/9 (e) -695\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 4*h + 3*h)*(-1279004*h**2 + 1279002*h**2 - 45*h - 27 - 9).\nAnswer: -4*h**3 - 90*h**2 - 72*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**2 + 79*a - 22. Calculate y(-11).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -85*s**2 - 66*s**2 - 62*s**2 + 187*s**2 - 55*s**2. Let n(a) = 38*a + 2. Determine k(n(f)).\nAnswer: -116964*f**2 - 12312*f - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -45, 38, 155, 306, 491?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.1 + 0.9. Let y = 85 + -211. Let r = y + 120. What is the third smallest value in r, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 978607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 827*p = -38170 + 8489 - 3399 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1910, -3820, -5732, -7646, -9562, -11480?\n\"Answer: -a**2 - 1907*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8474231 (base 9) to base 16\nAnswer: -4539b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -649 - -651. What is the third derivative of -104*r**z - 158*r**3 + 119 - 237 - 2*r**4 + 118 wrt r?\nAnswer: -48*r - 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 756437925 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p = -1 + 1. Solve p = -3*n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110111000001001011 (base 2) to base 10\nAnswer: -225355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 12:16 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -2. Which is the third smallest value? (a) -0.3 (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 256102878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 23 = 12*r. Suppose -p = 4*d - 2045, r*p - 8210 = 2*d - 3*d. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/10))**(6\/13) assuming l is positive.\nAnswer: l**(-9\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10398, 10399, 10400, 10401, 10402, 10403?\n\"Answer: g + 10397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*n = 272, -3*n - 2*n - 77 = -f. Suppose -f + 37 = -2*p. Solve 6*y - y = -p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 1123852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22203023 - -11001?\nAnswer: -22132022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from {x: 3, i: 3, s: 1}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**4\/12 - 17*n**3\/6 + 59*n**2. Let j be s(-11). Solve 2*u - 8 = 0, -39 = 4*g - j*u - 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 16090247.6809712.\nAnswer: -16090248.6809712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*g + 54 = 0, -3*w + 74 = -w + g. Let s = w - 32. Solve -s*p = 4*k - 12, 3*k - 14 - 6 = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931)*6)**2 - ((-1*sqrt(76))\/sqrt(4))**2) + 0.\nAnswer: 33497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6*17)\/((-9)\/6). Suppose -j = -3*w + 16. Suppose 3*u = -u + w. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 232 (c) -10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgrgrrgwgrw. What is prob of sequence wg?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*k = -5*k, k = 4*a - 11. What is the remainder when a is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -7*s**4\/24 - 36*s**2 + 3*s. Let t(h) be the first derivative of 7*h**2 - 2*h - 13. Give q(t(a)).\nAnswer: -98*a + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 w when four letters picked without replacement from {m: 1, p: 6, z: 4, w: 1, a: 3}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4355 to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5209 a factor of 1226302780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 775289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1294 (b) 5 (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/42 - (-23)\/7. Let t(f) = f**3 - 2*f**2 - 2*f. Let s be t(v). Suppose 4*i - o + 0*o - 31 = 0, 5*i = s*o + 44. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 7 = 43. Sort 3, -4, q.\nAnswer: -4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -15*x - 182. Let z be i(-12). Which is the closest to 0.1? (a) 477 (b) -2\/3 (c) z (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52362176 by -3272636.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f - 15. Let l(v) = 1. Suppose 4*j = 2*j - 30. Let x(g) = j*l(g) - y(g). Give x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/(-8) + 3\/(-6). Let x(i) = -i - 41. Let p be x(0). Let n = v - p. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24807a7 - a?\nAnswer: 2480798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*c**2 - 50*c**2 - 203*c + 405*c - 202*c.\nAnswer: 132*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -1. Let v be (-2)\/(-10) + (-17)\/35. Let k = 67.5 - 67. Which is the second smallest value? (a) k (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h + 8. Let v be l(-7). Suppose 290 = 12*q - 262. Is v at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2197905.4 to the nearest 1000.\nAnswer: 2198000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/8, -23, 2.6, -0.4, 887\/5?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 z when four letters picked without replacement from {z: 4, i: 5, u: 1, e: 3}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 9:19 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3911 - -2602. Let z = -5311\/4 - o. Calculate the common denominator of -123\/10 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -3*p - 48. Let w = p + 42. Let z be 2\/(-4)*0 - -2. Solve w + z = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*j + 7*j - 3*j)*(-2 - 2 + 5) - 3 + 3 + 2*j + 0*j - 3*j + 4*j)*(-4 + 6 - 6) to the form y + z*j and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 57*b**2 + 51*b - 79. Let j(h) = 74*h + 18. Let n be j(-1). List the prime factors of v(n).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/5 - 31*d\/5 - 22\/5.\nAnswer: (d - 11)*(3*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 4:40 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 27870 divided by -348\nAnswer: -4645\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1503389*j - 3006769*j + 1503382*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 331392 and 2336?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*c = -159*c - 225. Let v(j) be the second derivative of -13\/2*j**2 + c*j + 0 + 2\/3*j**3. Find the first derivative of v(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 13*l + 69. Let t(z) = 3*z + 13. Let j(k) = -11*t(k) + 2*y(k). What is j(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 4*f**2 + 7*f - 12. Let m be n(4). Let x(l) = -l**2 + 17*l - 5. Let j be x(m). What is the highest common divisor of j and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132937965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -545.\nAnswer: 272.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/13, -1\/5, 0.3, -1\/2, 2\/15, -0.08?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*g - 3612 = 21156. Calculate the greatest common divisor of 72 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*o - 256*o = -32*s - 544*o - 26, -s = -3*o + 45 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from qflijfliiiiilqvqlq?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**3\/15 - 21*p**2\/10 - 46*p\/5 + 978. Factor f(l).\nAnswer: (l - 23)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77128 - -148969. Suppose r = -5*l + 38*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 1 - (-57 + (6 - -22)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 15 = -0*l + 2*d, -3*l - 2*d = -25. Let o(b) = l*b + 2 - 13*b - 3 - 1. Let c = 1 - 3. Determine o(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 422235872 and 372.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-1 + 5)) + 0. Let r(i) = 4*i**2 - 5*i - 1. Let d(t) = 5*t**2 - 5*t - 2. Let n(x) = -5*d(x) + 6*r(x). Is n(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30332 - 301103?\nAnswer: -210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**3 - 3*l**2 + 2*l - 1. Let z be o(2). Let m = z - -111. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -92*t - 4923. Let g(d) = 383*d + 19691. Determine 6*g(i) + 25*o(i).\nAnswer: -2*i - 4929","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1497467 divided by 151.\nAnswer: 9917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26150264 - 62*m**3 - 26150264 + 63*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28439?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a + 885784 - 6390888 = 3284896. Round a to the nearest 10000.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 153, 145, 129, 105?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.71846 and 0.4.\nAnswer: 0.287384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0, 2, 4 in ascending order.\nAnswer: -16, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (38 + (21 - 27))) + -31?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + 153*j**2 + 20*j. Let t(u) = -2*u**2 + 4*u. What is 2*p(b) - 10*t(b)?\nAnswer: -4*b**3 + 326*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 - -9\nAnswer: 8.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -20. Let y = d + -4.42. Round y to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5350942*v**4 - 920*v + 268 wrt v?\nAnswer: 64211304*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1903*u**2. Let z(w) = w**2. Determine b(z(t)).\nAnswer: -1903*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 8:26 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 1)\/(((-4)\/(-32))\/(-1)). Solve -s*x = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7778040397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -5. Suppose -41*b + 2425 = 556 - 2026. What is the lowest common multiple of b and k?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -43. Sort 1.4, 0.5, s in descending order.\nAnswer: s, 1.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1312 - -1313. Put 52, n, -2, -3 in descending order.\nAnswer: 52, n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7*c**2 - c**2 + 3 + 0*c**2.\nAnswer: -8*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2 - 53821218*t - 241393625583627 = 0.\nAnswer: -8970203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007842 to 6 dps.\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3}. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.6 - 15. Let c = -14 + 9. What is the closest to -1\/10 in c, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -49*q**2. Let t(k) = 1792 - 1792 - 2*k**2. Give v(t(h)).\nAnswer: -196*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 1 + 20\/(-6). Let u(o) = o**3 - 9*o**2 + 8*o + 3. Let f be u(8). Suppose 112 - 100 = -f*h. What is the third smallest value in g, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -85 (b) 2 (c) 5 (d) 0 (e) 91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*m**2 - 75*m**2 + 10 + 50*m**2 wrt m?\nAnswer: 34*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025 is divided by 504.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 4:32 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003547 rounded to 5 dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 43 in ascending order.\nAnswer: -1, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 5*p**2 - p + 8. Let a be b(5). Let u be (2 + (6 - (3 - 0)))*a. Does 4 divide 86\/6 + (-5)\/u + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11\/4, -38 in decreasing order.\nAnswer: 11\/4, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 = 5*a - 318. Let o(l) be the second derivative of 0 - 4\/15*l**a - 1\/30*l**4 - 4\/5*l**2 + 4*l. Find n such that o(n) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-48))\/((-175)\/(-1540))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*g - 8, 2*o - 2 = -3*g + 5. Suppose -2*n + 15 = -d, -4*d + 6 = g*n + 1. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12250 + 12250. Which is the closest to 8? (a) 0.4 (b) 8 (c) -2\/11 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 163 = 169 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 12 - 3*z + 11.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = b - 3*k, 36*k - 32*k - 32 = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35995 less than 36002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w + 6*w - 7 + 7 + (9 - 9 - w)*(2 + 5 - 3) + w - 4 + 4.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 149\nAnswer: -29.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + (sqrt(7260)*1 - sqrt(7260))\/(sqrt(972) - (sqrt(972) + sqrt(972)*3)) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*b = 485, -3*b - 345 = -4*p + 2*p. What is the greatest common divisor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**7\/30 + w**3\/6 - w**2. What is the derivative of d(h) wrt h?\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/6, -5 in ascending order.\nAnswer: -5, -1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7096861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -176\/147159?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 32\/3, -490532 in descending order.\nAnswer: 32\/3, 3, 0, -490532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 221.653 minus 3156558?\nAnswer: -3156336.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -213423.1 + 3.8.\nAnswer: -213419.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*a + 22 = -78. Let c(w) = -10*w**3 - w**2 + 4*w - 3. Calculate c(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/288524580 and -137\/18.\nAnswer: 865573740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + -1 - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + sqrt(7)*-2 + sqrt(7) + (sqrt(7) - sqrt(21)\/sqrt(3) - sqrt(7))*-2.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10591 is divided by 2965?\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + h - 1 - 2*h - 2. Calculate r(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 + -1 - 7) + -9 - -6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1311060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*r = -3*s + 41*r + 76, -6*s = r + 46 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 392*s - 5096.\nAnswer: -2*(s - 182)*(s - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11338 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 770 - 218. Suppose 50 = 2*y - u. Suppose -3*t + y = 4*t. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 11*t**2 - 21*t - 17. Calculate the remainder when o(7) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.9 - -4.01. Round x to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.09 - 0.4. Let a = h + -0.29. Let k = 8.3 - 8. What is the third smallest value in k, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 - -11101001?\nAnswer: 11111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 81\/5?\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101611 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -6.1, -124670 in descending order.\nAnswer: 0.5, -6.1, -124670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*j + 1045, 1392 = 4*o - 0*o - 4*j. Let u = o + 188. List the prime factors of u.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/(-42)*1568\/294. Factor 2\/7*h**4 - 14*h + 102\/7*h**2 + t - 38\/7*h**3.\nAnswer: 2*(h - 16)*(h - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/3 (b) 2 (c) -0.0327 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -186350 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p*p*p\/p**1)\/p*p)\/p))**(-3\/13)\/(p**(-2\/3))**(1\/18) assuming p is positive.\nAnswer: p**(1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = l + 16. Is 25 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109884, -438590, -986126, -1752492, -2737688, -3941714?\nAnswer: -5364570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 3218940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -93 in -0.16, -2, -2\/41, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672373405?\nAnswer: 5, 11, 1111361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 395340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 142752051 divided by -2187\nAnswer: -65273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-32)\/12*((-156)\/12 + 14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 428*g - 2. Let o(s) = 49*s**2 - 12*s**2 - 14*s**2 - 21*s**2. Determine c(o(y)).\nAnswer: 856*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/19566801 and 17\/9?\nAnswer: 19566801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 31 - 1. Let h = -6 - -11. Calculate the remainder when 4\/10 - (-186)\/y is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*g + 12 = 0, 6*q - 3*g = q + 19. Let d be q\/3 - 17\/3. Let o(t) = -t + 7. Let b be o(5). Sort d, b, -4.\nAnswer: d, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48061874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26275 = 4874*i - 127444 - 215641 for i.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 0*p - 100. Let f(o) = o + 2. Let g(r) = -5. Let a = 116 + -121. Let k(n) = a*g(n) + p*f(n). What is the derivative of k(l) wrt l?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**2 + 14420*o - 10396820 = 0.\nAnswer: 1442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-1\/5)))**(30\/13)*u**(2\/9)*u**(1\/9))**(-19) assuming u is positive.\nAnswer: u**(95\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96563900 to the power of 1\/2, to the nearest integer?\nAnswer: 9827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 457, 1701, 4119, 8101, 14037?\nAnswer: 22317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 1\/12*j**5 + 0*j**4 - 1\/6*j**3 - 3*j**2 + 0 + 0*j. Is v(1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 102845*g - 1337830.\nAnswer: 5*(g - 20582)*(g + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10b1e (base 15) to base 13.\nAnswer: -1b24b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = -t. Let x = t + 8. Find the third derivative of 0*q**x - q**4 + q**2 - 2*q**2 wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, -8, 2\/7, 2\/9, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -61, -0.4, 11, -7\/3 in descending order.\nAnswer: 11, 0.4, -0.4, -7\/3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((-1)\/(3\/(-3))). Let x = o - -18. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 9*r**2 - 8*r - 1. Determine k(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 21. Which is bigger: 2\/23 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2*l)*((-1 - 1 + 0)*(2 + 0 + 0) + 1 - 1 - 2 + 3 - 5 - 5) to p*l + w and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3 + 290332*t**2 - 1451679*t + 1742022 = 0. What is t?\nAnswer: -290337, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.11484 days to seconds.\nAnswer: 1219522.176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8*f**3 + 53*f**2 + 31*f + 67. Let j(c) = c**3 - c - 1. Let d(a) = 6*j(a) + w(a). Let k be d(27). Let u = -10 + 19. Is u equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -85, -216, -421, -712, -1101, -1600, -2221?\n\"Answer: -2*b**3 - 19*b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) 2 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/16 in -133, 4\/7, -0.5, -90, -0.04?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*b - 673*b - 460 = -1394*b - 4*p, -b - 2*p = -10 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65956, 131817, 197678, 263539, 329400, 395261?\n\"Answer: 65861*l + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 509928632?\nAnswer: 2549643160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1246283*p**3 - 238500*p**2 - 2?\nAnswer: 7477698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d**3*x**3 + 94*d**3*x + 42*d*x**6 + x**4 - 13*x**2 wrt x?\nAnswer: 30*d**3 + 5040*d*x**3 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -414211*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*p + 523 = -p, 0 = -4*p + 16. Suppose 3*t + y = g - 0*g, 0 = 4*g - 16. Round t to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987294 is divided by 264.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 453822733 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-50 + -7)) + -26?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3) + 352\/33. Let n be -12*(3\/(-6) + 1). Let a = q + n. Solve -2 + a = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**5\/20 - 5*a**4\/6 - 13*a**3\/3 + 9*a**2\/2 - 163*a. Does 14 divide t(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 433420693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 15*n - 25. What is s(0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -88*j. Let f(v) be the second derivative of v**5\/60 - 7*v**3\/2 - 82*v. Let l(z) be the second derivative of f(z). Calculate h(l(n)).\nAnswer: -176*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505027.\nAnswer: 505027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9456)\/(-18))\/(4\/(-435000)). Round f to the nearest 1000000.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -478990*t**3 + 53783*t**2 - 6*t.\nAnswer: -2873940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -39?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34451 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -0*s. Let m be 3\/14 + s\/(-4). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7602 and 14.\nAnswer: 7602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3429.004547 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(t + 2*t - t) + 262 - 262 + 9*t + (1 - 1 + 4)*(0 + t + 0).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101\/350 + 7\/50. Put 4, x, -0.31 in decreasing order.\nAnswer: 4, x, -0.31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-2)*(-12)\/(-9). Let p = -37 - n. Let v(g) = 2*g + 24. Let y be v(p). Solve 0 = z + 5 - y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -42, 0.4, 21, -0.5, -2 in descending order.\nAnswer: 33, 21, 0.4, -0.5, -2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -15*g**3 + g**2 - 2*g - 2. Let u be 4\/((-64)\/4)*4. Calculate the remainder when 29 is divided by o(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + n + 280 = -0*j, 112 = 2*j + 3*n. Let p be ((-7)\/j)\/(5\/52). Let l = p + 251\/190. Is l greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 6.\nAnswer: 43\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 - -140. Solve -u*j + 37*j - 12 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 4 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 6. Let g = -33 + 34. Suppose 4*x - g = -u - 26, -3*u = -9. Calculate f(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 + 5*b**2 + b + 6. Is 8 a factor of g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a week in minutes?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3654541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (7 - 7 - (2 - 7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -368 - -403. What is the greatest common divisor of b and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.084 + 64.916. Let q = 57.9 - p. Let l = q + 7. Put 3, -3, l in increasing order.\nAnswer: -3, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - g + 12 = 2*g, -4 = -2*m - 2*g. What is the second derivative of d + 2*d - 2*d + 2*d**3 - 3*d**m wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -44*g - 93. Let p(v) = 25*v. Calculate k(p(u)).\nAnswer: -1100*u - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1530 + -0.5?\nAnswer: -1530.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.77 + -0.46. Let t = v + -1.01. What is the biggest value in t, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1630392 - -4?\nAnswer: -1630389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11950865 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1903, -2333, -2667, -2911, -3071, -3153?\nAnswer: -3163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + 18. Let i = -58 + v. Let l(j) = j + 4. Give l(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1, -393, -224 in descending order.\nAnswer: -1, -13, -224, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 0) + 16\/(-4) - -15. Let l(t) = -3 - 9 + u. Let b(n) = -15*n + 3. Let a(j) = -6*j + 1. Let h(f) = -12*a(f) + 5*b(f). Determine h(k) + 3*l(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, 5, -1 in increasing order.\nAnswer: -15, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6)*6\/14. Let v be ((-1030)\/296)\/((-84)\/32). Let p = 2\/259 + v. Which is the nearest to m? (a) 0 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 17*n - 328 = 270. What is the least common multiple of n and 18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 3)\/(-2 - -1)*-1. Solve p = -0*g + 2*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) + 3*sqrt(65) + sqrt(65) + sqrt(65))*-5)\/(5*sqrt(405))*2)**2*4.\nAnswer: 832\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**4 - 54*t**3 + 2577*t?\nAnswer: 12*t**2 - 324*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/3 and -2 - (92\/(-6) - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 8:31 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l - 3*f = 2*f + 48, -3*l + 2809*f - 84 = 2813*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4 - 1056*a**3 - 87612*a**2 - 2297312*a + 2385984 = 0. What is a?\nAnswer: -129, -68, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*p**3 - 576*f**2*p**2 - f*p**3 + 597*f*p wrt f.\nAnswer: -2*p**3 - 1152*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -5 (b) -416 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1516\/6)\/(-12 - (-238)\/21). Let p = f + 427. Calculate the highest common factor of p and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 366 (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9542 - 9539. Which is the second smallest value? (a) -2242 (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/12*32\/12. Let t(y) = y**2 + 5*y - 2. Determine t(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(6 + (-187)\/33). Let r = -1 - -1. Which is the smallest value? (a) m (b) -1\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(832)*-2*6.\nAnswer: 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62.2536 - -0.0464. Round b to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5319\/13 - (-8)\/(-52). Let s = 96 - -152. Let j = t - s. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-21)\/(-14)*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 19*f**2 - 115*f + 442. Let u be q(4). Calculate the highest common divisor of u and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2088.615 decades in months?\nAnswer: 250633.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 26, 43, 60, 77, 94?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 34767769.\nAnswer: 16\/34767769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -703 + 1693. Suppose y + 5*y = j. Calculate the least common multiple of y and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 813 + -460. Let u = -337 + k. Calculate the greatest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -2)\/(4\/(-6)). Suppose 0 = -5*u + 7*r - p*r + 74, r = 3*u - 43. Suppose 15*n = 8*n + u. Solve -24 = n*m - 0*m - 5*t, -6 = -5*m - 4*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -202 + 204. Solve -4*r = s + 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 16992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-52))\/(888\/(-1924)). Which is the third biggest value? (a) -49 (b) 3 (c) -2\/3 (d) m (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 18. Suppose -6*z = -5*p - 4*z + 10, 0 = z. Suppose 2*o + p*o + 23621 = 5*i, 14151 = w*i + 3*o. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**4\/24 - 58*g**2 + 1. Let u be 6*(1 - (-2)\/(-3)). Let t(w) = 3 - 3 - 13*w**u + 0. What is t(s(r))?\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -255 - -299. Let s = y + -41. Which is the smallest value? (a) 2 (b) s (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/21)\/(4\/14). Let b(u) be the first derivative of u**4\/4 - 2*u**3 - u**2 + 6*u + 1. Calculate b(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 0.1 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 12*j + 19. What is m(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = m - 40 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 - (-448)\/70. Let o(j) = 0*j**3 - 5*j**3 + 8*j**2 + j - v*j**2. Give o(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77\/154*0\/1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s + 6. Let q(x) = -3 + 2 + 6 - 11*x + 14*x. Give -5*m(l) + 6*q(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12253.\nAnswer: 12253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -490487928 by 6.\nAnswer: -81747988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 198\/7 + -501\/14. Let z = 31\/4 + b. Is 2\/3 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -8*s**7\/525 - 379*s**6\/150 - 8737*s**5\/75 + 1904*s**4\/5 - 1536*s**3\/5 + 5859*s**2. Suppose d(x) = 0. What is x?\nAnswer: -48, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4986444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p - 360 = 0. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzt when three letters picked without replacement from {z: 1, d: 3, o: 1, h: 2, w: 2, t: 3}?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 21*z - 102. Let m(v) = 20*v - 103. Let a(g) = -4*m(g) + 3*w(g). Give a(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 485381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-9)*(-87)\/(-232). Which is the smallest value? (a) k (b) -135 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 + -43. Suppose 2*d + 2*d + 4*p = a, 0 = 3*p. Suppose 0 = 5*f - j - 56, -3*f + d*j = j - 34. What is the remainder when 51 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-135 - 5)\/(10\/10). Is -138 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**19\/c*c\/c**(-12))\/(c**16\/(c*c*c**(-1\/6)*c)) assuming c is positive.\nAnswer: c**(107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660906?\nAnswer: 2, 3, 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116821\/156 + 3592\/39. Let y = -662 - h. Find the common denominator of 113\/12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2\/5 (b) -293 (c) 1 (d) -103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 181182919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*j + 329*j - 471*j.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.038 in -0.04, -1\/6, 2\/51, 3\/8?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2543134054 to the nearest 1000000.\nAnswer: -2543000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231 and 294?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -25. Suppose -4*x + 9*x = 80. What is the highest common factor of r and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1496 and 748.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.4, -0.1, 3\/5, 62.7 in ascending order.\nAnswer: -0.2, -0.1, 0.4, 3\/5, 62.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - -1. Suppose w + q = j, 0 = w - q + 3*q - 5. Calculate the remainder when 43 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/268 and 7\/20.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 370050 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 365, 816, 1447, 2258, 3249?\nAnswer: 4420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176951 is divided by 43.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11936760 is divided by 1116.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 275 - 274.99999654. What is r rounded to 7 dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 - 19*q + 3. Determine z(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5585099 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-42))\/(9*(-6)\/(-144))?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 965063 a multiple of 1390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 534\/(-356) + 305\/(-10) + 4\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -110a023 - -70?\nAnswer: -1109b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*f**3*m**2 + 98004*f**3*m - 3*f**3 - 2*f**2 - 15290*m**4 wrt m?\nAnswer: 62*f**3 - 183480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 31656 (base 9) to base 5\nAnswer: 1132244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5250 and 1.0799335?\nAnswer: 5251.0799335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95 or 92?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/2609 equal to 23\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000184669 rounded to 6 dps?\nAnswer: -0.000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 649.1113 litres to millilitres.\nAnswer: 649111.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 49 = -17. Let w(z) = -2*z**3 + 8*z**2 - 2*z - 8. Let r(n) = -n**3 + 3*n**2 - n - 3. Give q*r(g) + 3*w(g).\nAnswer: 2*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5608 - 1676 = -4*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 0.9. Let z = 0.4 - o. Let i = -650.9 - -651. What is the closest to -1\/2 in i, z, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.31 - -2.51. Which is the closest to -1? (a) -0.3 (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, h: 4}. What is prob of picking 3 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -590164105*h**5 - 432273873*h wrt h.\nAnswer: -11803282100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 8. Let a(r) = 8. Let k(m) = -3*a(m) - 2*z(m). Suppose -2*c - 1 - 11 = 0. Let l be k(c). What is the greatest common factor of l and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 363 = -3. Calculate the greatest common divisor of 36 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4\/9 - 248*q**3\/9 - 502*q**2\/9 - 28*q = 0. Calculate q.\nAnswer: -1, 0, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 4) to base 8\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 148*c**2 + 133*c + 439. Let l be q(-5). What is the greatest common factor of l and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 3363.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-2)\/(-375))\/((-4)\/(-10)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2\/11 (c) 344\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-2)\/2 - 0\/9. Put -22, 0, x in decreasing order.\nAnswer: x, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 15. Suppose 5*q - 10 = c*q. Solve 5*g - o = -19, -6*g + 4*g - q*o = -14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 9 + (-1 - 0) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 41*q - 277. Let n be b(-47). Solve 0 = -4*w - 8*p + 4*p + 8, 10 = -n*w - p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 670.4203s to nanoseconds.\nAnswer: 670420300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42852, -171450, -385780, -685842?\nAnswer: -1071636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 213070 + (-8 - (-12 + 5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*3)\/((-15)\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5430000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 35*t + 47. Let a(z) be the third derivative of 0*z**6 + 0*z + 0*z**t + z**3 + 0 - 8*z**2 + 0*z**5 + 1\/15*z**7. Differentiate a(u) wrt u.\nAnswer: 56*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 18387756?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 37, -1, 4, -10, 76, -19.\nAnswer: -19, -10, -1, 0, 4, 37, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1064103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 2:11 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*g - 770. Let w = g - 51. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3418350681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/1 + (4 - 1). Suppose 0*i - 159 = -4*i + 5*p, -148 = -3*i - 2*p. What is the greatest common factor of x and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 1, -1, -5, 2 in ascending order.\nAnswer: -79, -5, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*d = 26, 4*d + 496 - 482 = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 6*c**2 - 5*c + 3. What is the units digit of r(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6403, -25618, -57619, -102388, -159907?\n\"Answer: 3*a**3 - 6411*a**2 - 3*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + l**4 + 2*l**4)*(0*l + l - 3*l) - 3*l**5 - l**3 + l**3 + (-l + 3*l + 4*l)*(3 - 3 - l**4) - 3*l**5 - l**5 + l**5.\nAnswer: -16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -305 + 2743\/9. Which is the second smallest value? (a) 4 (b) -28\/13 (c) n (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.76 + 14.66. Let z = p + -11.78. Round z to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**3 + 149876*z**2 - 14424960*z = 0.\nAnswer: -37565, 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 4. Let g = 118.596 - 118.696. Let r = 23 + -43\/2. Which is the nearest to g? (a) r (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45532129*p**3 + p**2 - 831615680 with respect to p.\nAnswer: -136596387*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 + -67. Suppose 3*s + g = -q, -5*q = 4*s + 9 + 1. Solve 2\/3*l + 4\/9 + 2\/3*l**3 - 16\/9*l**q = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 + 5?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.109679 - -0.489031. Let h = -0.602 + m. Round h to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((9 - 1 + 14)*(0*x - 4*x + 2*x) - 3 - 2*x + 3)*((-1 + 2 + 1)*(x + 1 - 1) - x + 3 - 3) to the form w*x + n*x**2 + g and give n.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.66538 and -0.134.\nAnswer: 0.08916092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, d: 13}. What is prob of sequence ggd?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 0, -52, -1, 10, -148.\nAnswer: -148, -52, -4, -1, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 4*j)*(6 - 5 + 4)*(2 + 0 - 6*j + 4*j) in the form c*j + x*j**2 + p and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38612432 to the power of 1\/2, to the nearest integer?\nAnswer: 6214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:16 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55090\/(-9444)*(-6)\/280?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2471*q + 130756 = 1123*q for q.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 + 82*p**2 - 59 - 79.\nAnswer: 82*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -695 + 711. Suppose 0*j - 4*v + 2 = -5*j, -5*v + 21 = 3*j. Calculate the highest common divisor of y and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1567 + -819. What are the prime factors of h?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14563047\/256 + -56887. Find the common denominator of a and -31\/288.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(8\/(-1))*62. Calculate the greatest common divisor of t and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16193 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120430*p**2 - 11995 + 11995.\nAnswer: 120430*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 v, and 2 q when four letters picked without replacement from {t: 2, u: 4, k: 1, v: 4, q: 4, s: 5}.\nAnswer: 32\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d + 66. Let c be w(-10). Let h(b) = b**3 - 4*b**2 - 3*b - 4. Let g be h(5). Suppose 4 = g*m - c. What is the remainder when m is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 18*t**2 - 146*t + 46. Give j(24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21641685 and 0.09.\nAnswer: -21641684.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*g**2 + 34*g - 34*g + 8*g**2.\nAnswer: -309*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -2.85\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274823261 to the nearest integer?\nAnswer: 16578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnp when three letters picked without replacement from {n: 3, u: 5, p: 1, t: 2, c: 8}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3 + 1431963*n**2 = 0 for n.\nAnswer: -1431963, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 47.88. Let p = -2.88 + u. Let j(m) = -3*m + 80. Let v be j(27). What is the closest to p in 0.1, v, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k - 3. Let z be x(-3). Let c = 70 - 65.6. Let n = 4.5 - c. Are n and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -1, 397.\nAnswer: -2, -1, 8, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7537 + -7150. What is the smallest common multiple of 688 and g?\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006485 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 4*z = 3*t - 48, 0 = 4*t. Let m be (-894)\/(-7) + 2\/7. What is the greatest common divisor of m and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -260003 or -260053?\nAnswer: -260003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 0)*(-7*r + 35 - 35) in the form f + l*r and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 389141037327.\nAnswer: 389141037327.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(-39))**(12\/7)\/((n**(2\/27)\/((n**(3\/5)\/n)\/n))\/(n**(-1\/2)\/n)**1) assuming n is positive.\nAnswer: n**(120739\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f + 40 - 88 = 0. Find the first derivative of 90*u**4 - 3*u**2 + 279 + 3*u**f + 1378*u - 1381*u wrt u.\nAnswer: 360*u**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -399, -1808, -4367, -8208, -13463, -20264, -28743?\nAnswer: -39032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and -4.737?\nAnswer: -0.75792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**5\/30 - k**4\/18 - k**3\/9 + k**2\/3 + k - 30. Factor g(m).\nAnswer: 2*(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16941169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 + -39. Is 33 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -283564.1\nAnswer: 1417820.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*u = 52, -5*f - u = -83 - 2. Let y = 27 + 60. Let p = -52 + y. What is the remainder when p is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from heepvvhththechtveth. What is prob of picking 2 t and 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**5\/60 + 2*i**2. Let v(c) be the third derivative of 7*c**5\/4 + 3252*c**2. Give v(p(l)).\nAnswer: 105*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/(2968\/53) + 9\/(-26). What is the nearest to v in 1\/3, -56, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40014443 + -1?\nAnswer: -40014444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244222 divided by -4.\nAnswer: -122111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270167245 to the nearest integer?\nAnswer: 16437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 937.841 - 0.841. Let k = 912.92 - y. Let a = k + 24. What is the closest to -2\/5 in -3\/5, a, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 1895.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22221 is divided by 718.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2425, 2, -52, -4, -3 in decreasing order.\nAnswer: 2425, 2, -3, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.16 + 25. Let g = -0.24 + v. Let p = -2.02 - -2.12. What is the nearest to p in 1, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68275.98 decades in centuries?\nAnswer: 6827.598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 8:20 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000057192658 rounded to 7 decimal places?\nAnswer: 0.0000572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -149 and -3.\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 26 = 4*h, 0 = -n - 3*n + 20. Factor -2*r**2 - 8*r - 12 + 0*r + h.\nAnswer: -2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 = -7. Let j = f + 16. Suppose -9*i = -j*i + 70. Calculate the highest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-24)\/c*c*c**(-45))\/(c**(3\/14))**(-32\/5) assuming c is positive.\nAnswer: c**(-2297\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12379691 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 378, -20, 2, 0.3 in ascending order.\nAnswer: -20, 0.2, 0.3, 2, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-4))\/j**(-2\/15))\/(j**(2\/9)*j)**(-3\/8) assuming j is positive.\nAnswer: j**(-289\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 108525 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/2 - (-42)\/(-38). Let l = -0.27 - 0.13. Let r be (6 + 595\/(-98))*69 - 10\/(-2). Which is the biggest value? (a) q (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/15*(-2)\/(-2). Which is the smallest value? (a) -4 (b) 0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/70)\/((-6)\/(-7)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 20*z**2 - 12*z + 3. Let o(i) = i - 2. Let m(u) = 6*o(u) - x(u). Let c be m(-19). Solve 0 = c*g + 1 - 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (1\/(-1))\/(3\/((-2028)\/1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p. Let y be z(2). Suppose -3*n + 11 = -x - y, -5*n + 3*x = -37. Solve -n = -3*f - f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 0.3, 1.4, 40 in decreasing order.\nAnswer: 40, 1.4, 3\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22\/7 - 95\/28. Let z = 164 - 166.1. Which is the smallest value? (a) -2 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17979, -19309, -20635, -21957, -23275?\n\"Answer: 2*k**2 - 1336*k - 16645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1045, -2081, -3095, -4075, -5009, -5885, -6691, -7415?\nAnswer: -8045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171861485 to the nearest integer?\nAnswer: 13110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3071382034 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x - 4. Let g(s) = -6*s + 5. Let r = -55 - -80. Suppose 5*f + r = 10*f. Give f*i(y) + 4*g(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31349 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 540?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t, -t + 6*t = -x + 36210. What is x rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 + 5 - (25 + -23))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29, -189, -451, -815, -1281?\n\"Answer: -51*g**2 - 7*g + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(h**2 + h**2 - h**2) + (-463*h - 1901 + 1901)*(0*h + h - 2*h).\nAnswer: 461*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 211\nAnswer: -1899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i - 6. Suppose 3 = -3*a, -2 = 5*w - 5*a - 22. Let r be c(w). Suppose 2*l = 2*j + 102, -4*l + r*j = -2*j - 202. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51496, -0.2, -1 in descending order.\nAnswer: 51496, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - d - 5*m - 31, -13 = d + 2*m. Let y = -546 - -4546. Let c be (-15)\/(0 - d\/y). What is c rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 6. Let m be f(-10). Suppose z = 3*l + 23, 0*z + 4*z - 76 = m*l. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4507633.\nAnswer: 13, 269, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 18 = 8. Find the common denominator of (x - (95 - -5))\/8 and 1\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from bmbbbbbmbbmb.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1055742 is divided by 211123.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-24) + 122\/12 + -2. Solve -3*a = a - w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25766, -103067, -231906, -412283, -644198, -927651?\n\"Answer: -25769*a**2 + 6*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16522 * 0.19697.\nAnswer: -3254.33834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1266\/301 or 4?\nAnswer: 1266\/301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -131479851*n**2. Let p(l) = l. Calculate r(p(f)).\nAnswer: -131479851*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 15*n**2 - 18*n - 36. Let z be 270\/(-25) - 4\/20. Let g be y(z). Calculate the greatest common divisor of 34 and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434 - 1443 - (0 - (2 - -14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 16) + (1 - 9) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 less than -1690218?\nAnswer: -1690257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)*-3)**2*1 - ((sqrt(22)*-1 - sqrt(22))\/sqrt(2) + -3)) + 0 + -2.\nAnswer: 2*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {l: 3, o: 1, q: 4, y: 1, r: 2, k: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyyyyyww. Give prob of sequence ww.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*q - 2454*q = -617*q + 1428*q + 366785 for q.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:46 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4360619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -127*k + 9. What are the prime factors of a(-2)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22450003524+-3\nAnswer: -22450003527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5*p + 1 - 2)*(-2*p + 4*p + p).\nAnswer: 15*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*j**4 + 5*j**4 - 2*j**4 + (-2*j**2 + 0*j**2 + 5*j**2)*(196258 - 10*j**2 - 196258) as u*j**2 + f*j**3 + x*j + w*j**4 + i and give w.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40257, 40271, 40285?\nAnswer: 40299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 2*b + 0*b + (-b + 5*b - 5*b)*(1 - 1 + 1) - 2*b - 3*b + 3*b + (129 + 175 + 286)*(2 + 3 - 3)*(2*b + 8*b - 3*b) in the form w + y*b and give y.\nAnswer: 8256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 24*c**2 - 136*c - 22. Give l(-29).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000139720566 to six dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(1120\/7))\/(216\/(-288)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 327285754 by -2546.\nAnswer: -128549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/8 (c) 0.4271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/25)\/m)\/(m\/(m*m**(-12)))*m**(-6)\/(m*m**2\/m) assuming m is positive.\nAnswer: m**(-527\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112321\/4 + 28080. Let y = -2.1 + 2. Which is the biggest value? (a) y (b) -48 (c) o (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.5. Let g = q - -0.3. Let u = 13\/10 - 19\/30. What is the closest to u in g, 3, -2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 520 and 68536.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1132.57 + -52008.9.\nAnswer: -53141.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-2))**(-9\/8))**(-5))**(-4\/9) assuming o is positive.\nAnswer: o**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*o + 23*o + 18*o**3)*(4*o**2 + 66*o - 66*o).\nAnswer: 72*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 16168 (b) -5 (c) 23 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -3*q + 23, 3*z - 743 = -z - 374 - 365 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1470*a - 1. Is k(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**3 + 14*k**3 + 13*k**3 + 8*k**3 - 50*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017345681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 28*r**3 - 7*r**2 + 10*r - 5. Calculate a(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 6. Let y be (10\/15)\/((-2)\/(-9)). Suppose 4*n - 31 = -y*p, 3*n - 2*n - 46 = -5*p. Let x(o) = -4*o + 13. Determine p*l(b) - 4*x(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-39)\/(-12) + 2\/(-8). Suppose -5 - 1 = q*t - 3*p, 4*p + 2 = -t. Let l = t - -1. Which is smaller: -0.3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*p + 5, -3*m + 2*p - 2 = -7*m. Let q(w) be the third derivative of 8*w**2 - 1\/40*w**4 + 0*w + 0 - 1\/75*w**5 - 1\/600*w**6 + m*w**3. Factor q(o).\nAnswer: -o*(o + 1)*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*w + 25 = -113*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 3. Suppose -3*u = u - 44. Calculate the lowest common multiple of 1 + (-2)\/(-2 - g)*-1 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than 1005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 10*r - 427. Let n be m(44). Solve 2*v + 4*s = -2, 43*s + n = v + 38*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-10))\/(48\/(-160)). Suppose 0*z + 5*l - 18 = -3*z, -4*z + 4*l = -56. Let u = m + z. Solve 1 = 4*p - u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + m + 1 + (0*m - m + 2*m)*(0 - 1 - 1) + 9*m + 22*m + 7*m)*(42 - 12 + 12) to z + i*m and give i.\nAnswer: 1554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 3. Let h be t(0). Solve 7 - h = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.66 and -11.606.\nAnswer: -19.26596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/9 + 8\/9*s**2 - 1\/9*s**3 - 11\/9*s.\nAnswer: -(s - 5)*(s - 4)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112062 and 4513936?\nAnswer: 257294352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 19 - 1 - -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58245?\nAnswer: 3, 5, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x + 8*x + x**2. Let i = -1 + 3. Suppose 5*m - 5 + 20 = 0. Let u(f) = f**2. Determine i*u(h) + m*d(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 13*r**2\/2 + 35*r\/2 - 49\/2.\nAnswer: (r - 1)*(r + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-120)*-5*20\/30.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t\/(t\/t**(-14)))\/t**(4\/7))\/((t\/t**0)\/(t*(t*t\/((t\/((t*t\/t**(-29)*t)\/t))\/t)*t)\/t)))**(1\/31) assuming t is positive.\nAnswer: t**(143\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 19. Suppose 8 = -5*v - 2, g*v = -2*u + 12. Calculate the greatest common factor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 0 + 22\/3*f**3 + 0*f + 3\/4*f**4 + 126*f**2 - 2\/5*f**5 + 1\/60*f**6. Determine t, given that k(t) = 0.\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 465*n**2. Let u(w) = 29*w**2. Determine y(u(d)).\nAnswer: 391065*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6266977, -12533956, -18800935, -25067914, -31334893, -37601872?\nAnswer: -43868851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 187 and 119.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - 329*o - 2*o**2 + 3*o**2 + 332*o. Let y(q) be the second derivative of q**4\/6 - q. Determine y(t(p)).\nAnswer: 2*p**4 - 12*p**3 + 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234 + -148 + 67 + -158?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 2:06 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*v + 2*f, v - f - 4 = 6. Let j be 13*(10\/5 + 1). Let s = j + -29. Solve -v*l = -10 - s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 13*o**2 - 55*o + 362. Let m be r(11). Which is greater: 471\/5 or m?\nAnswer: 471\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*q**4 + 4908607*q**3 - 13*q**2 - 1296177*q wrt q?\nAnswer: 144*q + 29451642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 562.\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(2\/10)\/(126\/(-35)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -914*z - 46611. What is p(-51)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6)*-1 - (-1595)\/33. Suppose 0 = 47*z - w*z + 2. Suppose z*q - 173 = 5*t - 0*t, 3*t + 87 = -3*q. Is t >= -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 + 108. Suppose 30*x - 32*x = -i. Solve 2*u - x*l + 25 = 0, 0*u - 2*u = 2*l + 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 22*x**2 + 37*x - 1. Let d be a(9). Let n be -6*d\/(-12) - -1. Solve -28 = n*i - 33 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2*(-3)\/18)\/(4\/48). Suppose f*j - 4*v - 8 = 0, -3*j - 4*v = -6*j + 6. Let a(b) = 8*b - 3. Determine a(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 10. Let h be -1 + q + (8 - 5). Suppose -5*o = 0, -h*b = o - 4*o - 70. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-896)\/33152 - (-147)\/(-37)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - -4. Suppose n - 6*n - 18 = 3*u, 5*n + r = 0. What is the units digit of -2 + (0 - 4)*u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**2\/2 - 6*a + 14. Give i(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47.64 and 0.3.\nAnswer: 14.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30384958 and 105038?\nAnswer: 3622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**2\/2 - 102475. Let j(v) be the first derivative of -21*v**3 - 1. Give o(j(f)).\nAnswer: -63*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234971 = 3713*c - 2242*c + 2811*c + 1449*c for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a - 3*a - 2 + 3)*(7*a - a**2 - 2 - 7*a).\nAnswer: -6*a**3 - a**2 - 12*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4, -4*c + 3 = -4*x + 511. Let l = 5 + 0. Suppose -4*j + 125 = -5*s + 43, -l*j - 4*s + x = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.4, -16, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83 + -80. Suppose -f + 34 = 5*d, -6*d + 5*d - a*f = -18. Suppose 0 = -z + d*z - 595. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2108*y + 5707*y + 142*y**2 - 4733*y**2 - 1591*y**2 wrt y?\nAnswer: -12364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 + 281612064.\nAnswer: 281612064.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -935*k - 33708 + 22984 = 41636 for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 45?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**3\/3 - 2*g**2 + 5*g + 3. Let m be u(4). Factor -2*h**2 - 4*h**3 - 4*h**2 + 4*h**2 + 2*h**4 - 2*h**m + 6*h**3.\nAnswer: -2*h**2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1364 - -1370. Let q(f) = 7*f**3 - 5*f**2 - 6*f + 6. Let r(t) = -t**2 + 4*t**2 - t**3 - 1 - 2*t**2 + t. Give w*r(k) + q(k).\nAnswer: k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 1 + 1 + 0. Suppose -450 = c*u - 5*u. Find the common denominator of -37\/4 and (40\/u)\/(1\/(-42)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/13, -2, -0.244, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*t = -6, -1 = 4*z + 3*t + 8. Let c be ((-12)\/18)\/((-4)\/18). Let f = 8 - c. Solve 0 = f*j - z*j + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 43608478 - 3433298. Suppose -22*i = -m + 341795. What is i rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40\/528*-4)\/(62\/(-6)). Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 2:13 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -136b - 2c?\nAnswer: -1399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 - 3*a**3 + a**4 + (2 + 0 - 4)*(-6*a**2 - 11*a**2 - 79*a**2)*(3*a - 3*a - 3*a**2) to y + k*a**2 + u*a**4 + v*a**3 + f*a and give u.\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -39928 divided by 31\nAnswer: -1288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = p + 20, -5*p - 5 = 0. Let w = a + 30. Let t = 7 - w. Is -1 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 7. Let l be (p - -1)*(-4)\/(-4). Is l at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 0.4437181\nAnswer: -0.9437181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 306.99999901 + -307. Round h to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9824459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = 110 - 530. Solve 3*z = 5*f - 8, 3*f = 4*z + 6*f - b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**5 - 27*b**6 + 11*b**6 + 49*b**2 + 9*b**6 wrt b.\nAnswer: -840*b**3 + 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 924 and 5159?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -4*d - 90. Let p = 106 - d. Let w = 150 + p. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2057*i + 910*i - 29145 = -1116*i - 1036*i for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 2*u**2 + 4*u + 8. Let s be m(0). Does 51 divide (20\/s - 3)*-700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (6 - (1 - 3))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 3 - (-1 + 7 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 + (1 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49713307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - (5 + -2))*(-21)\/12. Suppose 2*d - 18 = -4*v, d - 5 = -3*v - 1. What is the remainder when (-24 + 9)\/(3\/p) is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (13 + -19 + (-1 - 4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -72*3*(-8)\/36. Let c = -24 + q. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8857 + 5487*l**3 - 2839*l**3 - 545*l - 2652*l**3 with respect to l.\nAnswer: -12*l**2 - 545","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 6*o**2 + 4*o + 26. Let a be s(-6). What is the greatest common factor of a and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15395512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2\/8 - 141*s\/8 + 69\/4 = 0. What is s?\nAnswer: 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 70. What is the remainder when s is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-10*j + 5*j + 0*j)*(5 - 2 - 1).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14980 divided by -749.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(102)\/sqrt(6) - 4*(0 + sqrt(17)).\nAnswer: -3*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.27 - -0.27. Suppose 2*m + p + 9 = -0*p, 5*m + 5 = p. Let b = m + 4. Put b, y, 4 in increasing order.\nAnswer: y, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97 (base 13) to base 15.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 6*x - 8. Suppose 0 = x*g + 5 - 23. What is the third derivative of v**6 - g*v**2 - 8*v**2 + 14*v**2 wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44.45 + 42.3489. Let q = -31 + 28.9. Let g = l - q. Round g to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - h + h + 0*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.62715 decades in years?\nAnswer: 96.2715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78615 = 5963*i - 7059 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3388171?\nAnswer: 3388171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 0 + (110 - (-24 + 106)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4\/5 + 242968*w**3\/5 + 14748640336*w**2\/5 - 236211545856*w + 4725786424320 = 0.\nAnswer: -121524, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 23*l**2 - 20*l - 90. Give i(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -9*z**2 - 19*z**3 - 24*z**4 - 21*z**2 - 32*z**3 - 3*z**5 = 0.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00777459535 rounded to 4 dps?\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*46 - (-4 + 6). Let y(r) = -2*r**2 + 320 - g. Let u(j) = -j**2. Calculate u(y(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 0.26 (c) -0.12 (d) -5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2826*i**3*j**4 - 2*i**3*j**3 + 5*i**3*j + 5601*i**2*j**2 + 2*i**2 wrt j?\nAnswer: -67824*i**3*j - 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1603575 - 136?\nAnswer: -1603733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1893252 and 996?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -88 + 0?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5}. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3379 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5199, -39382, -131535, -310644, -605695, -1045674, -1659567, -2476360?\n\"Answer: -4831*b**3 + b**2 - 369*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 - 3)*(-2*m**3 - 3 + 3) + 123*m**3 - 74*m**3 + 433*m**3)*(5 - 6*m - 5) - m**3 - m**4 + m**3 as j*m + a + l*m**2 + z*m**3 + y*m**4 and give y.\nAnswer: -2917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-y - 3*y + 2*y) + 0*y - 3*y + 2 + 6*y.\nAnswer: 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -40, -1\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15 - (-186)\/(-12))*0 - (-3)\/1)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 3 (c) 120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786874?\nAnswer: 2, 11, 47, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -8. Suppose t*n = -0 + 8. Which is smaller: n or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 937\/3, -1 in descending order.\nAnswer: 937\/3, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*m + 14695 - 2536 = 803*m for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by -52?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + r + 1 = -3*l, 13 = l - 4*r. Let w = 4 + l. Let g be 16\/5 + (-2)\/10. Solve g = -w*a - 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssys. Give prob of picking 3 s.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (2 + 1)) + 31 + -32.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4 - 4. Let b(d) be the second derivative of -1\/54*d**4 - 1\/27*d**3 + 1\/9*d**t + 0 + 1\/90*d**5 + d. Solve b(a) = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 9:54 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-104)\/(-4))\/((-2)\/(-4)). Let o be 4\/22 - 9416\/(-121). Calculate the highest common factor of o and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/(11\/((-77)\/7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1216) + -3))**2.\nAnswer: -48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0096517 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o - 3. Suppose -5*y = -10 + 55. Let c = 11 + y. Let v be l(c). Solve v*m - m + 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 276225684 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4584.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 17 = 6*c + 5*v, -4*v = -2*c + 34. Let b = 22 + -15. Calculate the least common multiple of c and b.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 462\/(-11) + -3 + -3. Is -45 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - n + 6 = 0, -164*n = -4*j - 162*n + 12. Solve -5*z - 2 = -4*m, -z = -4*z + j*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311995 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304*w - 205 = -309*w. Find the second derivative of 690*q**3 - 20*q - w*q - 611*q**3 wrt q.\nAnswer: 474*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-50 - -18 - -40 - (0 + -26)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5\/9 + 2*h**4 - 152*h**2\/9 - 64*h\/3 = 0.\nAnswer: -8, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9341820 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/137 (b) 0.5 (c) 2\/27 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*q + 373*q = -15*q + 45524 for q.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1343\/6715)\/((-34)\/(-30))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.97 + 0.03. Let i = h - 4. Which is the closest to i? (a) -1 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*i + 19 - i + 6*i + 2*i**2 - 19.\nAnswer: 2*i**2 + 71*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 3. Let c be x(3). Let t(p) = -p**2 + 13*p - 18*p + c*p**2. What is t(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*o + 2035*o - 62949 - 1227 = 0 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4457 - -4497. Solve 35*x - v*x = -5, 5*g - 3*x = -3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42371285839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 287694139 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 - 3*j**3 - 7*j**3.\nAnswer: -18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 382 - 380. Factor -16 - 13*b**2 + 12*b + 0 + 11*b**l.\nAnswer: -2*(b - 4)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 22 = -3*s, 4*s + 8*b + 16 = 12*b for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103030 + 103028.59962. Let w = -1.3 - 0.1. Let f = w - v. What is f rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 197*q + 8718. Let m be s(-67). Solve -m*w - 272 = 60*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-76)\/874 - (-275912)\/46?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**19*p*p\/(p\/(p**(-8\/17)\/p)))\/((p**5*p)\/((p*p**48\/p)\/p)) assuming p is positive.\nAnswer: p**(1012\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-12))\/(12\/32).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 34626\nAnswer: 1\/34626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 5*j + 10. Let b be t(-7). Let h be (14\/5)\/(b\/(-10)). Differentiate -s**2 - 3*s**2 + 1 + h*s**2 wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93752 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + u - 5. Let p be x(0). Suppose 2*y - 6 = y + 3*h - 30, 20 = 2*h. Put p, -17, y in descending order.\nAnswer: y, p, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1787 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 12) to base 3\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 0.5. Which is the closest to 0.2? (a) w (b) 1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a + 2*a + 3*a. Let x(r) be the first derivative of 11*r**2 + 196430. Calculate x(s(y)).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 1145*j + 26883. Determine c(-23).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 1, f: 1}. What is prob of sequence kd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-11 + -1 + 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 169132096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6330 + -6326. Is 107 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.20287 months in decades?\nAnswer: 1.79335725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 1100*b + 237917. What is f(804)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(11)*-1) + ((-4 + sqrt(45))**2 - sqrt(5)) + (-2*sqrt(3240))\/sqrt(8).\nAnswer: -44*sqrt(5) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 100 - 100. Let p(x) be the second derivative of v + 0*x**2 - 2\/3*x**4 - x + 0*x**3. Let l(m) = -3*m**2. What is p(l(f))?\nAnswer: -72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**2 + 4*j**2 + 11*j**2 in the form g + m*j + t*j**2 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775839.59 hours in weeks?\nAnswer: 10570.47375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 61, 87, 113, 139?\n\"Answer: 26*a + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -512 + 2296*y - 114*y**3 + 96*y**3 + 2*y**3 - 988*y**2 = 0?\nAnswer: -64, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 1. Let j be a(2). Let v = j - 3. Suppose -4*l + 4 - 3 = 5*x, 3 = -x - 4*l. Put -4, v, x in ascending order.\nAnswer: -4, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 185*(18\/10 - 1). What are the prime factors of (m\/10)\/(1 - (-16)\/(-20))?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffz when four letters picked without replacement from fzzffzzzzzfzffzffzfz?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 19040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15503 divided by 10693.\nAnswer: 419\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -11505713?\nAnswer: 69034278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from {b: 8, q: 5}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - d + 1. Let h(n) = -n**2 - 2*n. Let g(y) = 2*h(y) - 3*i(y). Is 17 a factor of g(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51 and -1.2.\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 282969879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 1, g: 1}. Give prob of picking 1 c and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q + 89 - 89 + (2*q - 5*q + 4*q)*(0 - 2 + 4) - 7*q - 11*q + 28*q + (-q - 2*q + 6*q)*(-3 - 1 - 1).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24134f72 - 3?\nAnswer: 24134f6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -192 + (99 - 198 - -215).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -2*w**3\/3 + w**2 + 84*w + 164. Factor d(k).\nAnswer: -2*(k - 7)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(1216) + 1)*-5 - sqrt(1216)) + sqrt(1216) + -1 + 4 + -2*sqrt(1216)*-5 + 3)**2.\nAnswer: 80*sqrt(19) + 30401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**3 + 60*d**2 - 65*d = 0. What is d?\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*x = -6 - 0, 5*x = 3*s + 37. Let q = -2 - s. Suppose -q*v + 3*h - 65 = -6*v, -3*h = -4*v + 71. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -9*w**3 - 23*w**2 - 9*w + 2. Let v(p) = 4*p**3 + 11*p**2 + 5*p - 1. Let d(j) = -3*i(j) - 7*v(j). What is the remainder when d(-7) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -9) + (-8 - 2) - -12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42789, 85630, 128479, 171336, 214201, 257074?\nAnswer: 299955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199.\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 46. Suppose -i*p - 10 = 2*p. Let k be (p\/(-6))\/((100\/48)\/25). Solve 0*z - 4*s + 14 = -3*z, k*z + 3*s = -2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-12) + 310\/12. What is the greatest common factor of t and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/60 and -157\/14947320.\nAnswer: 14947320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqdqqtwqbddbdqu. What is prob of picking 1 u and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27\/4*p**2 - 7\/8*p**3 - 7\/4 - 33\/8*p = 0 for p.\nAnswer: -2\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1392981334?\nAnswer: 2, 3259, 213713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -50 + 12 + 6 + 1 + -19\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z - 9*z - z**2 - 5*z + 4. Let j be a(-10). Suppose -4*f + j*l + 492 = 0, -2*l - 19 = 3*f - 378. What is the greatest common factor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e0 + -13?\nAnswer: 4cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*k + 27*k + 54*k to c + s*k and give s.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6 - 2 + 4*x - 5. Let u(p) = -5*p + 14. Let f(s) = -4*l(s) - 3*u(s). List the prime factors of f(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*y - 6*y - 35 = 0, 10 = 3*n + y. Solve -n*q - k = 15, 4*q = 7*k - 2*k - 41 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23682252 - -23682769.000456. Let u = x - 517. What is u rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -496*j - 20342. Calculate w(-41).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glp when three letters picked without replacement from {l: 1, g: 1, p: 7, y: 8}?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-2))\/((-6)\/(-18))*4976\/1866.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 23*f + 8. Give x(22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-63)\/6)\/((-24)\/16). Factor -30 - 2*d + z*d**2 - 2*d**2 - d - 2*d.\nAnswer: 5*(d - 3)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 24.11361532\nAnswer: 22.11361532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018875900 to the power of 1\/2, to the nearest integer?\nAnswer: 31920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (42 - 13)) + (12 - 2) + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15426195?\nAnswer: 3, 5, 19, 113, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -4006, -692 in ascending order.\nAnswer: -4006, -692, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/(-12))\/((-1947)\/198 - -10).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.674215us?\nAnswer: 0.006674215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -353, -360, -381, -422, -489, -588, -725?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by 8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1555 and 1625.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in -0.5, -0.43, 0.48, -0.4?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2 (c) -2\/3 (d) 114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4151 and 11267?\nAnswer: 78869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/10*(-172)\/129?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebeebebebebbbeeeebb. What is prob of sequence bebe?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12071779?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 17947*y - 43. What are the prime factors of g(3)?\nAnswer: 2, 37, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5 = 45. Let n = 14 - 9. Solve -n*i = -0*i + q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5324177851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 376*o + 2445. Let a(q) = -758*q - 4892. Let b(g) = -6*a(g) - 13*u(g). Find the first derivative of b(y) wrt y.\nAnswer: -340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -503 - -505. Let u be m\/(-6) + 20\/15. Let w(k) = -6*k + 1. Determine w(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -m - 3 + 11, -5*x - 24 = -3*m. Let w(r) = r**3 - 8*r**2 + r - 4. Calculate w(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/425)\/(4\/(-30))*5*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d8 (base 15) to base 7.\nAnswer: -5120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 99\/196274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (174\/8)\/((-6)\/(-8)). Suppose 5*r = l + 140, 2*l + 8 + u = r. Calculate the highest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.464878 centuries?\nAnswer: 0.3464878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s + 2*f + 14 = 14*s, -19 = 2*s - 5*f for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 27*l**2 + 73*l + 5. Calculate the least common multiple of 24 and i(-5).\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21970 is divided by 157?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*z - j + 4, -2*j = -5*z + 24. Suppose 5*h + 3*l - 34 = 0, -z*h + 3*l + 5 = -2*l. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -174, -178, -180, -180?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -0.99. Let k = 0.39 + u. Let i = 147 + -1321\/9. What is the nearest to -2\/5 in k, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -54*y + 1568. Let m be x(29). Solve 5*b - m*k = -5, 2*b - 14 = -0*k + 4*k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.2 + -22. What is the second biggest value in -0.5, 0.1, j, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 - 52. Calculate the smallest common multiple of w and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4046, 8012, 11896, 15698, 19418?\n\"Answer: -41*k**2 + 4089*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2. Let g(w) = 798516*w. Give g(s(i)).\nAnswer: -798516*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.38365 - 0.28365. Which is the smallest value? (a) -1 (b) o (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1157 + -695. Let c = -17347\/16 - -1090. Calculate the common denominator of 1371\/t - 2\/7 and c.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 182027 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 6 (b) -0.105 (c) 0.11 (d) 5 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2\/15 (b) -4 (c) 2\/147509 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/28 + 162\/21. What is the greatest common factor of p and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 147*i**3 + 74*i**3 + 70*i**3 - 31*i**2 as d + b*i**2 + y*i + p*i**3 and give b.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 9*h - 3. Let w be j(10). Differentiate -w - o + o - o wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76684 and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 152322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2525 is divided by 110.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 - 16*g**2 - 7*g + 8. What are the prime factors of j(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**2 + 6*d**2 + 11*d**2 - 2*d**2 + 17*d**2.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4\/3)*m*m)**(1\/2)*(m**(-2\/3)*m)**31 assuming m is positive.\nAnswer: m**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, t: 1, o: 1, c: 2}. Give prob of sequence cllo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26355 - 26343. Solve 12*g + d + 48 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 112*n + 11. Is h(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**5\/5 + 7*s**4\/12 + 2*s**3 + 13*s**2 - 84*s. What are the prime factors of z(-5)?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.022658 rounded to two decimal places?\nAnswer: 38.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 + -64. Let n be f\/(-3) + (-2)\/((-12)\/14). Suppose 3*u - 37 = d - 143, n*u + 12 = 0. What are the prime factors of d?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -68 (b) 5\/4 (c) 0.3 (d) -1 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5488\/490)\/(-56)*370\/(-6).\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*k = -234*k + 2660. Calculate the greatest common divisor of k and 752.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 at most 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 1, q: 2, k: 2}. What is prob of sequence qk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0 = 3. Let d(y) = 3 + t - 4 + 4*y. Let u(b) = -b. Calculate u(d(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 1. Suppose 4*t - 32 = -4*s, -2*t + 15 = -7*t. Let q = s - 7. Let n(v) = q*v - 2*v + 6 - 7 - 2. Give 5*i(u) - 2*n(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4312*b + 1182. What is the ten thousands digit of r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1905*y**3 + 476*y**3 + 470*y**3 + 472*y**3 + 479*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = 0. Which is the closest to x? (a) 4 (b) -2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**3\/7 + 44*n**2\/7 - 218*n\/7 - 264\/7 = 0.\nAnswer: -1, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 110 and 4576374?\nAnswer: 4576264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 963, 955, 945, 933, 919, 903, 885?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(5\/2)*j*j**1)\/(j**(-6\/11)*j*j*j**(-1)))\/((j**(1\/2)\/j)**(-3\/35))**(-20) assuming j is positive.\nAnswer: j**(755\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35483\/6 + 5930. Let u = 2758475\/1114008 + 1\/53048. Calculate the common denominator of u and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 10. List the prime factors of 2\/m + (-1456)\/(-40).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 8:09 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllhhl. What is prob of sequence llh?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/4, 0.4, 1, 51, 2, 12, -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*b - 150101 = -284*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/7014 and 45\/98.\nAnswer: 49098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95895 - 31994. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnennyyeey. What is prob of picking 2 y and 1 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129.37 - -13.63. Which is the second smallest value? (a) 4 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (2868\/78 - 19).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38086700 rounded to the nearest 100000?\nAnswer: -38100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7453*u**3 - 4*u**2 - 8*u + 8. Let g(x) = 14906*x**3 + 9*x**2 + 18*x - 18. Calculate 4*g(m) + 9*q(m).\nAnswer: -7453*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**12\/s**(2\/47) assuming s is positive.\nAnswer: s**(562\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - r + 1)*(2*r + 4 - 4)*(7004 + 4580 - 1472) to the form x + d*r + a*r**2 and give a.\nAnswer: -20224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 3, -310 in descending order.\nAnswer: 4, 3, 2, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2055513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4949, -4976, -5003, -5030, -5057, -5084?\n\"Answer: -27*i - 4922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8144027*h = -8143909*h + 8850 for h.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136842399*a**3 - 324818938*a wrt a?\nAnswer: 821054394*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -6. Suppose -m*o + 97 = -29. What is the smallest common multiple of 15 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 7. Let g = 13.8 - 3.8. What is the smallest value in g, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24261289.2 + -24435114.137. Let p = 173733 + v. Let o = -92 - p. What is o rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1035986 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m - 2. Let f be c(1). Solve -w + f*j + 11 = -2*j, -2*j - 6 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r - 96621 = -30126. Suppose -5*y + 8*y = -p + 685, 3*p - r = y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1603943722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1247 minus 38082?\nAnswer: -39329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15222153 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((71\/(-39) - (-4)\/26)\/1)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2294.\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 1:19 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4342376.\nAnswer: 2, 542797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52112 is divided by 3017?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 951 and 702602921?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/95055, -0.5, 24, 0.5, 1\/4, 9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591320292?\nAnswer: 2, 3, 67, 735473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-2)*(818 - (-6)\/6). Suppose -10241 + f = -2*k. Suppose 5*l + k = -0*y + y, -2*y + 3*l = -7805. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d + 40. Suppose -s - 5*a = 25, -s - 3*a - 15 = s. Suppose -5*o + 3*o + 32 = s. Calculate the highest common divisor of o and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38768 divided by 19384\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 190.73\nAnswer: -1716.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 9193\/26418 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-580)\/(-58)*-2*3\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 9*h**2 - 7*h - 5. Let w be a(5). Let g = w - 36. What is the greatest common divisor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqjqyjjyqjqjjjqqjjq. What is prob of picking 3 q?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**4 + 19045*h**3 + 10755690*h**2 + 1426969600*h + 1416232960 = 0.\nAnswer: -256, -1, 4322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*j**2 - 2288*j + 39*j**3 + 2288*j - 155*j**3 wrt j.\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*t**5 - 6*t - 6*t**2 + 20*t - 14*t wrt t?\nAnswer: 720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/242 and 31\/484.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(-7)))\/(w\/(w*((w**8*w)\/w)\/w)))\/(w**(3\/2)\/(w**(-3)\/w)))**(-1\/4) assuming w is positive.\nAnswer: w**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2094 + -5aa?\nAnswer: 18c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10 + (-24)\/(-30).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 8*a**2 + 27*a + 5. What is f(10)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 7) + -4 - -15 - (6 - 12).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 5, 0, -10044?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/j*j**1)**(2\/15)*(j**4*j*j*j**2)**(15\/7) assuming j is positive.\nAnswer: j**(1828\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + sqrt(9)\/sqrt(3) + sqrt(3) + 3 + 2 + sqrt(3) + -1 + (sqrt(24)\/(sqrt(24)\/sqrt(3) - sqrt(8) - sqrt(8)) - sqrt(3)))**2 + 5.\nAnswer: 24*sqrt(3) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 5) to base 10\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3358*m - 20143. What is p(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -97 - 1635?\nAnswer: -1732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471*o**3 - 122*o**3 + 3 - 5.\nAnswer: 349*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/130*2790\/(-5394).\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7}. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -657, -2, -19, 7, 2 in descending order.\nAnswer: 7, 2, -2, -12, -19, -657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -1076*h + 4175. List the prime factors of q(-13).\nAnswer: 41, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from hzkhnnfkkhkznkk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105085 is divided by 35004?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 189\/(-525)*2\/(-9)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 7414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -30*j**3 - j**2 + 1. Let h be n(1). Let x be (-12)\/h + 138\/5. Suppose 3*k - k - x = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(640))\/(4*((sqrt(8) - (sqrt(8) - sqrt(16)\/sqrt(2) - sqrt(8))) + sqrt(8))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*y - 48 - 96, -3*v = -2*y + 72. Suppose 5*o - y = i + i, -4*i = 5*o - 48. Solve -5*c - o = 4*z, 0 = 3*z - 3*c - 23 + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -55\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -0.476.\nAnswer: -5.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5808954 to the power of 1\/2, to the nearest integer?\nAnswer: 2410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 7:14 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.20766 millilitres in litres?\nAnswer: 0.09520766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 11*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from {u: 7, o: 9}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttbbpbtttpptbbbtp.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 2. Let b be f(3). Is 7\/4 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/34 and 49\/187.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0.2, 2332 in increasing order.\nAnswer: -3, 0.2, 3, 2332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000054 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**2 - 8*i. Let a(u) = 2*u - 3. Let h be a(5). Let f(s) = -2 - 11*s**2 + 9*s + 17*s**2 + 2. Give h*o(w) + 6*f(w).\nAnswer: w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3038087 and 45135.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -380*n**3 - 11*n*o**2 + 2*o**2 + o + 194 wrt n?\nAnswer: -1140*n**2 - 11*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 67 = j, 0 = -8*j + 10*j - 2*u - 174. Solve -1044 + 400 = j*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 467*g + 31331. Give j(-67).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1465 at least as big as -1465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 8. Let i(z) = 5*z**3 - 6*z**2 + 4 + z - 2*z + 1. Let x(s) = 14 + 14*s**3 - 17*s**2 + 0*s - 2*s - s. Calculate v*x(j) - 17*i(j).\nAnswer: -j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x - 2. Let m be d(2). Solve -n + m = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a6a - 3?\nAnswer: -3a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 11783453)\/(21\/(-6) + 4). Let o = u + 39866898. What is o rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (12 - 4 - 4)) + 16\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158874 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -105\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j. Let i(d) = -29152*d**2 + 750. Calculate l(i(w)).\nAnswer: 87456*w**2 - 2250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1466576 decades to months.\nAnswer: 17.598912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, w: 2}. Give prob of sequence ww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -h - 4*h. Suppose -2*s - 60 = h*r, 0 = 2*r + s + s + 30. Let f be (4\/r)\/((-18)\/(-15)). Which is the closest to 0.3? (a) -1\/4 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**4\/4 - k**3\/2 + 9*k**2 - 6*k. Factor v(h).\nAnswer: -3*(h - 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**7\/630 + l**6\/90 - l**5\/10 + l**4\/8 + 4*l**2. Let k(h) be the second derivative of f(h). Determine a so that k(a) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*t - 193*t + 362*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2003.52 and -1695425.\nAnswer: -1693421.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 82 + 323. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -9\/8 (b) -4 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 50038.43 decades?\nAnswer: 500384.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3)*n\/n**(2\/15))\/((n**5*n)\/n*n\/((n*(n**4*n)\/n*n)\/n)))\/(n\/(n*n**4)*n**1*n)**(-4\/27) assuming n is positive.\nAnswer: n**(-148\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 11 - 26 - -16\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69449132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Let z = 5 - l. What is the biggest value in -5, z, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 11:20 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-6)*0 - -1)*2. Suppose 4*s - 6*s = -b*a - 2172, -3*s - 3270 = 3*a. Is ((a\/2)\/(-4))\/1 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**4 + 7*h**3 + 69*h**2 - 21425 wrt h.\nAnswer: 4*h**3 + 21*h**2 + 138*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 47, 37, 11, -37, -113, -223, -373?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 - (-4 - (-7 - -4)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**9\/3780 - l**5\/60 - 2*l**4\/3 + 4*l. Let f(t) be the third derivative of u(t). What is the derivative of f(v) wrt v?\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*w - 16 = 0, 3*o + 5*w - 13 = 1. Which is smaller: o or -17.52?\nAnswer: -17.52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - p**2 + 8*p - 10. Is 16 a factor of c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 0.04 (c) -386 (d) 0.134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 344, 159, -1005.\nAnswer: -1005, 159, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 12 = 4*p, -3*q + 47 = 4*p - 0*p. Suppose 2*s - s + p = -5*a, -s + 2*a + 20 = 0. Solve 0 = -2*v - v - s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - h + 2*h + 11, -5*h - 29 = 2*d. Let p(s) = -s**2 - 3*s - 2. Let v be p(d). Let i = 245\/612 + 11\/36. Is v > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424 - 64 = 45*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, x: 3, r: 1, s: 5, k: 1}. What is prob of picking 1 u and 1 x?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2312 is divided by 75?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*o + 7 + 10 - 12.\nAnswer: 52*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (0 + sqrt(11) + sqrt(11) + sqrt(11) + 2)**2)*-4 - ((sqrt(11)*2*5 - sqrt(11))**2 - -1*sqrt(11)*4).\nAnswer: -1303 - 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 10 + 40 + 32 - 2*n**3 + 34.\nAnswer: -2*n**3 + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -948 = -58*l + 52*l. Suppose 3*v = 5*w + 2 + 3, -v = 3*w - 25. Suppose -5*h = 3*d - h - l, -5*h + v = 0. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 27 - 55. What is the remainder when 162 is divided by m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + (sqrt(2156) - 1*(sqrt(2156) - sqrt(2156)*1))\/((3*sqrt(4356) + sqrt(36))\/sqrt(9)))**2.\nAnswer: -14*sqrt(11)\/17 + 5163\/1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -0.00413 (c) 12 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. What is the nearest to n in 2.9, -2\/15, 0.5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-146 - -276) + -137 + (131 - -3).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3928 by -4.\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*v - 60. What is the remainder when v is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = -p + 4*f + 630, 4*f = -p + 367. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*h + 986, -5*h = m + m - 649. List the prime factors of m.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.07989 rounded to 2 decimal places?\nAnswer: -2.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -468*x + 64 + 166 + 485*x in the form a + i*x and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 163 - 54)*(-3*v + 4*v + 0*v).\nAnswer: -243*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 4*a**2 - 2*a**2 + (4*a + 0*a - a)*(2*a - 16*a - 9*a) + (-1 + a + 1)*(0 - a + 0) + (0 + 0 + a)*(-1 + 4*a + 1).\nAnswer: -65*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9013489 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -335 + 336. Let c be ((-6)\/(-9))\/(2\/3). What is the third derivative of -l + 16*g**6 + c + 3*g**2 - 31*g**6 wrt g?\nAnswer: -1800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 692098*q**2 - 1. Let t(b) = 25*b. Determine t(h(o)).\nAnswer: 17302450*o**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 4*k = -26, 63*k - 58*k + 10 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (0 + 0)) + (3 - 96 - -83)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 103890 divided by 10389\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = q + 5, 5*o - 12 = 4*q + o. Let u be ((-6)\/q)\/((-2)\/(-4)). Suppose 8*n - u*n = 40. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - 2*r + 3*r + (-3*r + r + 0*r)*(-4 + 6 - 3) - r + 5*r - 3*r - 2*r - 4 + 4)*(2 - 1 + 0) - 3*r + 5*r + 0*r in the form k + o*r and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -135320?\nAnswer: -135310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 11*u + 15. Let l = 1 - 19. Is w(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/20 and 40\/19.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4799 * 3.8\nAnswer: -18236.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + p + 17960 = 18044, 3*z - 46 = -5*p for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(3\/7))*p)\/p**0)\/((p*p**(-3))\/(p\/(p*p**1)))*p**0\/p**4*p**(-5)\/(p**3*p) assuming p is positive.\nAnswer: p**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 263\/3 - 89. Let m(a) = 6*a + 0*a + a - a**2 - 8*a + 4. Let v be m(-3). Is t at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34749012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5627668 or -0.1?\nAnswer: -5627668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -60 - (211 - 233).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 6*x**2 - 1. Let z be r(-6). Let u = z + 5. Suppose 16 = 4*t - 0*m - 3*m, 0 = -3*t + 2*m + 11. Put u, t, -5 in ascending order.\nAnswer: -5, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -3\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/6, -2, -5, 2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -489*w**3 - 208 + 495 + 175*w**3 + 197 wrt w.\nAnswer: -942*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147.9 + 158.9. Sort -0.03, -1, h.\nAnswer: -1, -0.03, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 10:33 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-317)\/(-315) + 121\/(-121))?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 241?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-45)\/5)\/(1 - (-5)\/(-2)). Let k(l) = l**3 - 6*l**2. What is k(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*d - 558*d + 263*d.\nAnswer: -582*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c7b70 (base 14) in base 15?\nAnswer: -2b6036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and 0.12?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10495 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -23*t + 139*t + 680*t + 100*t + 11*t. Let z(m) = -m**2. Give c(z(r)).\nAnswer: -907*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 698511643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 131 + 1179 = 0. List the prime factors of y.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 + 2*t - 17. Let j be u(7). Let o = -78 - j. What is the greatest common factor of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1763104 by -34.\nAnswer: 51856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -17 times 0.2\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 4*v - 4. Let u be p(-5). Let t = -147 + 443\/3. Let f = 833.969 + -834. Which is the second smallest value? (a) u (b) f (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 times -37?\nAnswer: -3589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -816*f**5 + 644*f wrt f?\nAnswer: -16320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) -0.02 (b) -5 (c) -6.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2 - n**2 - 2. Let w(d) be the first derivative of 1\/2*d**2 + 6 + 0*d. What is w(q(i))?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6718220 and 1552?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -153828 or 250.8?\nAnswer: 250.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**2 + 22*j + 6*j**2 + 4 - j**2 + 2*j**2 = 0. What is j?\nAnswer: -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 5. Let o be a(4). Suppose -o*i = -8*i + 10. Suppose -c + 4*c = 0. Solve -i*j + 5*k - 5 + 0 = c, 0 = 2*j - k + 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 + 0.85. Let h = 0.05 + k. Let f = 10 + -5. Sort h, f, -5.\nAnswer: -5, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 221\/3536 + 399\/16.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 799 - 2031. Let j = 2776 - b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-675)\/(-2)))\/((-7)\/21).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1432149 is divided by 716016.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -194 - -197. Let f(o) = -11 - 4*o**3 + o**3 + 2*o**u + 259*o - 11*o**2 - 248*o. Give f(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15230077 (base 8) to base 13\nAnswer: 9507a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(-34 + 77*h - 13 - 78*h) in the form i + y*h and give i.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 87. Let r be ((-2)\/6)\/(4\/(-24)). Suppose 3*m - v = m + r*j, 44 = m - 3*j. Calculate the remainder when m is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2265 and 0.9.\nAnswer: 2265.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5415263?\nAnswer: 7, 773609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/509100 and 77\/6?\nAnswer: 509100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6719.2 millilitres?\nAnswer: 6.7192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/((-5)\/(60\/(-8))). Suppose -27 = -l*c + 3. What is the biggest value in -2, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - 8.7. Let o = -8.8 - u. What is o rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187146923?\nAnswer: 4943, 37861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 2*j**2 + j + 2. Let v be a(3). Let d(n) = n**3 + 8*n**2 + 11*n + 1. What is the remainder when 54 is divided by d(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3584 and 1395128?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/(1\/(-2)). Suppose -116*n + 276 = -40*n + 48. Which is the nearest to l? (a) n (b) 2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122861*n**2 - 431120*n?\nAnswer: -245722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3378 - -3375.206. Let l = -0.206 + y. Sort -0.5, l, -2, 15.\nAnswer: l, -2, -0.5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m**3 - 58725188 + 16*m**3 + 58725188.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44.705388 + 0.043388. Round a to one dp.\nAnswer: -44.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261643.\nAnswer: 261643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 74.04 * -18353\nAnswer: -1358856.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 3*j - 2*j)*(30*j - 29*j - 3 + 6).\nAnswer: -j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 divided by 85607?\nAnswer: 474\/85607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*z**2 - 194*z**2 + 97*z**2 + z + 14*z**3 to the form o + i*z**2 + a*z**3 + t*z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -1 (b) 0 (c) 1 (d) -133\/279\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m - 2 - m + 3*m)*(2 - 2 + 2*m).\nAnswer: -6*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**2 - 2720*j + 1225*j + 1399*j**3 + 816*j wrt j.\nAnswer: 8394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15028976?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o + 4. Let m be w(6). What is the common denominator of 6\/88*2\/(-3) and 2 + (-93)\/m + -1?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-243 + 252 - (-1 + -4)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 10*g**2 - 8*g - 10. Let v be f(11). Let h = 38 + v. List the prime factors of h.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*s\/(s*s**(3\/2)))\/s)\/s**10)\/(((s*s*s*s\/((s\/s**12)\/s)*s)\/s)\/(s\/s**(3\/2))))**(3\/7))**45 assuming s is positive.\nAnswer: s**(-540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -104353 divided by 433?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzz. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8600506, 17201006, 25801504, 34402000?\nAnswer: 43002494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 20*b - 146 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -11. Let z = 1 + 6. Suppose -p + z = -d. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -f - 0. Let q be (f + -3 - 391)*(3 + 2). Let g = -1088 - q. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - 2*(-10)\/5. Suppose -4*s = -3*g - 6 - 14, p*s - 20 = 4*g. Let m(d) = -63 - 64 + 138 + 2*d**s - 3*d**2 + d. What is m(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94730691103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 4. Let k be m(4). Let j(x) = x**2 + 7*x + 1. Let t be j(-7). Solve 2*g - 1 = s, -3*g + 2*s + k*s = -t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20519, 20618, 20783, 21014, 21311?\nAnswer: 21674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 0*k**2 + 4*k + 8 - 21. Does 23 divide j(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 48 and 2548959.8.\nAnswer: 2549007.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1422 - -1612. Calculate the highest common factor of 38 and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2858633 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -973, -5510, -17869, -41974, -81749, -141118, -224005?\nAnswer: -334334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2.3. Let y = o + -0.6. Let v = -3 - -7. Which is the closest to 0.1? (a) v (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**7\/105 + n**6\/60 - n**5\/10 - n**4\/12 + 2*n**3\/3 - 14*n**2. Suppose c(l) = 0. Calculate l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 38 + 36 + c**2)*(6*c**3 + 5*c**3 - 5*c**3).\nAnswer: 12*c**5 - 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-146)\/(-511)*(-28)\/160.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 10 = -2*v, -3*v - 14*p + 12*p + 25 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r - 60. Let c be q(-17). What is the greatest common divisor of c and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 38*t**3 - 4*t**2 + 6*t - 3. Determine f(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*((sqrt(1700) - (sqrt(1700) - (sqrt(1700) - (-3 + sqrt(1700) + -5)))) + -4 + 3) + 4 + 1)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 60 + 19a17?\nAnswer: 19a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 62*m**2 - 24*m + 93. Let o be b(3). Let t = o + -576. Factor -300*j**2 - 5000 - 2000*j - 1\/2*j**4 - 20*j**t.\nAnswer: -(j + 10)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 8:19 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20.7*3\nAnswer: -62.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/5 + 2316*j\/5 + 2318\/5 = 0.\nAnswer: -1, 1159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b**3*j*w**3 - b**3*w - 6*b*j*w + 47*b*w - 104*j*w**3 wrt w?\nAnswer: -36*b**3*j*w - 624*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 262 (base 8) to base 3\nAnswer: 20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - ((1 + sqrt(39)\/sqrt(3))**2 - sqrt(13)) - (sqrt(208)*-3)**2)*-4.\nAnswer: 7544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - q**3)*(2*q**2 - 2*q**2 + q**2) + (37*q**2 - 34*q**2 + 23*q**2)*(-3*q**3 + q**3 - 2*q**2 + 3*q**3 - 3*q).\nAnswer: 25*q**5 - 52*q**4 - 78*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*c + 7*c - 32*c = -95*c. Solve c = 2*r + 25*r + 135 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y - 24. Let m be b(-4). Find the first derivative of 13*d**3 + m + 53 + 20*d**3 wrt d.\nAnswer: 99*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 5*l - 4*l)*(-146*l - 127*l + 244*l) + 7*l**2 + 6*l**2 - 3*l**2.\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71664 and 4704?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 27*f + 5. Suppose r = -14*k + 19*k + 62, -16 = k + r. Calculate the remainder when 160 is divided by v(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104 + -103. What is the biggest value in a, 4, 0.2, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64.9465 + 0.0535. Is -1\/5 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -30 (b) 17 (c) -3\/2 (d) -2 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s + 5 = 2*h, 2*s - 6 = -4*h. Let f be (h + -1)\/(-6 - -4). Factor 0 + 0*b + 0*b**2 + f*b**3 + 2\/3*b**4 + 2\/3*b**5.\nAnswer: 2*b**4*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g**2 + 77*g + 12. Determine q(14).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 253 + -249.317\nAnswer: 3.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + 1*sqrt(1053) + -1 + -2 + sqrt(1053)*1)**2.\nAnswer: -162*sqrt(13) + 9486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*i**3\/5 - 91984*i**2\/5 - 45998*i\/5 - 1150.\nAnswer: 2*(i - 2875)*(4*i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/135 + 58\/(-20)*8\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -28. Let d be s - (-4)\/(3 + -5). What is the common denominator of d\/4*129\/(-15) and -5\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*t + 3*f + 138 = 0, -3*f + 2 = 6*t + 3*t - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -377152*d**3*z + d**3 - 8*d**2*z + 10*d**2 - 14*z - 9 wrt d.\nAnswer: -2262912*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 509414, 509420, 509428, 509438, 509450, 509464, 509480?\nAnswer: 509498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 2*d - 23 + 1\/2*d**2. Suppose a + 2 = o - 7, -5*a - 2*o = 10. What is x(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 6864?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 96 and -47?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(441)*2 + sqrt(441)) - (-4 + (sqrt(272) + 0 - sqrt(272))**2).\nAnswer: sqrt(17)\/21 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 200020?\nAnswer: -200032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + p + (2*p - 1 + 1)*(1 + 1 - 3) to o*p + u and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2038 is divided by 171?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 17*n. Let i(k) = 127*k**2 + 1. Calculate i(v(a)).\nAnswer: 36703*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/sqrt(144))\/(5*sqrt(8)).\nAnswer: sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 2:25 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, c: 3, v: 1, u: 6}. Give prob of picking 1 u and 1 v.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 114261 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-141)\/24 + (0 - (-4)\/(-32)). Let s(d) = d**3 + 5*d**2 - 4*d - 6. Let m be s(y). Which is smaller: m or -86\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*j - 5*j - 4*j)*(-2 + 1 - 1) + j - j - j)*(-5*j + 2*j - 3*j) to n + w*j + x*j**2 and give x.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 4*k - 1. Let l be x(2). Let f be 114\/(-513) - (-34)\/(-9). Put 3, l, f in descending order.\nAnswer: 3, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16959*s - 4 - 5707*s + 3.\nAnswer: -22666*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 15\/4*o**2 - 1\/2*o = 0. Calculate o.\nAnswer: 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*y + 7035, 0 = 3*y - 2*b + 6*b - 4232. What is the highest common divisor of y and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 19*s - 3. Let j be y(-9). Calculate the highest common divisor of 18 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cchztccctcccctvcvc. Give prob of sequence ch.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifhz when four letters picked without replacement from {z: 1, e: 2, f: 6, h: 2, i: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3532366621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35906\/(-419824)*(-4)\/26.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c98 - 2?\nAnswer: -c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**2 + 5532*t + 942464 = 0.\nAnswer: -1184, -199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 11*t**6\/60 - t**5\/30 - t**4\/24 + t**2. Let n = -39347 - -39346. Calculate s(n).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 6*d**2 - 7*d - 7. Let i be t(-5). Suppose i*n = -0*n + 141. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + 6*(sqrt(80) - 1*sqrt(80))*-5*3 + -5)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -7 - -2) + (-2 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10905 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7) + sqrt(28)\/sqrt(16)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79136?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2525144, -2525112, -2525080, -2525048, -2525016?\nAnswer: -2524984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 6*g**2 + 2*g - 7. Let b = -144 + 158. Suppose 17*h + 10 = -2*j + b*h, 0 = -2*h. Calculate s(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, -12, 3\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/(-4) - 5\/10. Find the second derivative of 17*a + 3*a**2 - x*a**2 - 16*a wrt a.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, l: 1, y: 1, q: 1, f: 1}. What is prob of picking 1 y, 1 q, and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1121 + 2009. Is a a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) 4 (c) 450 (d) 102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (140547 - 0) + ((-11)\/(-7) - 288\/(-672)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1040\/7 + 148. Let v = 0.024 - 5.524. Let r = v + 1.5. Which is the fourth biggest value? (a) r (b) 0.2 (c) m (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33*n**4 + 2359*n**3 + 1551552 wrt n?\nAnswer: -132*n**3 + 7077*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/((21\/6 + -4)\/((-113)\/(-452)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 612 and 136?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/4 or 33271?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7140 divided by 7.\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**2 - 473838*x + 18710204187 = 0?\nAnswer: 78973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (22 + 6248\/(-224))\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 1\/3 (b) -19 (c) 7 (d) -51 (e) 2 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61.53457 tonnes?\nAnswer: 61534570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 2*x + 3. Let l be r(3). Let f(m) be the first derivative of -1\/2*m**2 + 0*m - 1\/3*m**3 - 2. Calculate f(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*m + 47, 4*k + 4*m - 9*m = -56. Which is greater: k or -10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.072, 6, 120, -1\/8, -0.5, 3\/2, -35?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/15484 and 11\/112?\nAnswer: 61936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 21*j - 4. Let p(w) = -8 + 6 + 4 - 1 - 2*w. Let b(y) = 6*p(y) + z(y). Let g(t) = -t - 2 + 3 + 4*t. Determine -3*b(u) + 8*g(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*c - 58*c + 88*c**3 - 73*c**3.\nAnswer: 15*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 5241127937.\nAnswer: 5241127936.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -232 - 1205.\nAnswer: -1437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*s - 79, 5*y + 3*s = 8*s + 190. List the prime factors of (-4)\/16 + y\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1028801664 by 4.\nAnswer: 257200416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + k**3 + k)*((5*k - 3 + 3)*(-4 + 3 - 1) + 0 - k + 0 + 2*k - 3*k + 2*k) in the form z*k + o*k**3 + j + v*k**2 + s*k**4 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9605143 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 a when four letters picked without replacement from aaaaaaanaaanaanaaaan.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.28836 to 2 decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 579375510 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 3*c - 3. Let f be g(1). Sort f, 3, -1, 6, -4.\nAnswer: -4, -1, f, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -40.6. Let q be (-5)\/(-35) - 10\/21. What is the second biggest value in q, 0, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/4))**(4\/13))**(-5\/17)\/((i**(-2\/13)*i)\/i**(-2\/11)*(i**(2\/5))**43) assuming i is positive.\nAnswer: i**(-220736\/12155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*u = -51*u - 4*d - 12, 4*u - 33 = 11*d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2 - 1865449086*r - 289991691038186283 = 0. Calculate r.\nAnswer: -310908181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1281.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2029 - -42?\nAnswer: 206b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*i + 19 - 19 + (4 + 0 + 0)*(-3 + i + 3) + i + i - 3*i as y*i + n and give y.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*m + 2)*(2*m + 4*m - 5*m)*(-2*m + 2*m - m**3).\nAnswer: 3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 613 + -608. What is the fourth biggest value in 2, -53, u, 3?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 176 - 178. Is c\/((-4)\/18 + 3542\/16236) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 6*h**2 - 5*h - 2. Suppose -48 = -2*f + 3*n, -f - 5*n + 3 + 8 = 0. Let r be -3*(f\/(-9) + 0). Let w be t(r). Solve 5*g = 2*g + w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + 0*n**4 + 10*n**4)*(-1 + 1 + 1).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*v, 499 = 4*j - v + 6*v. Let u(p) = 4*p**3 - p**2 + 1. Let r be u(-3). Let m = r + j. Solve -m = 5*q - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 810686?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 50. Let o = 49 + x. What is the least common multiple of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 - -1. Let h = -2897.3 + 3033. Let d = h + -136. Put 0.09, w, 0.2, d in ascending order.\nAnswer: d, w, 0.09, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 12*j**2 + 8*j + 6. Let f = 149 + -147. Suppose l + 2*s + 4 = 0, -s + f*s = -4*l + 12. Calculate the remainder when i(-11) is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 1\/5, 0.1, 0.0528?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -14*b - 132 - 30 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36435 = 35*r - 36505 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((9\/(-30))\/(218\/4)). What is the highest common factor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 - 278*m**2 + 2827*m - 1474. Give o(128).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, h: 4}. What is prob of picking 1 h and 2 j?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19182641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39119062.\nAnswer: 2, 19, 79, 83, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25 + 56 - 3*f**2 - 46*f**4 + 10*f**3 + 196 - 2*f**3 + f**2 wrt f?\nAnswer: -1104*f + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o**3 - 436*o**2 - 124*o = 0 for o.\nAnswer: -62, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1953 divided by 7?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**8\/9240 + l**7\/4620 + l**6\/1980 - l**5\/660 + l**3\/3 + 11*l. Let t(f) be the second derivative of h(f). Factor t(b).\nAnswer: -2*b*(b - 1)**2*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.9 + -3.4. Let p = 10 - b. Let c = -1.2 - -1. What is the nearest to c in -0.3, 2\/3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/3*81\/(-108).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 12:49 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from pprcljclupjlrccccjl?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 0 + 22*f - 25*f + 1 - 2. Let p(b) = 10*b + 3. Let k(m) = 4*p(m) + 11*s(m). Suppose 2 = -3*o + 5*o. Give k(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*d - 71 = -264, 0 = 6*s + 4*d - 316. Solve 0 = s*j - 61*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f - 15. Suppose -9 = -3*s + z, -4*s + 0 = -2*z - 14. What is the remainder when (-26)\/(1 - s) - -2 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4*s = 12, 5*z + 11 - 7 = -4*s + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-20)*p**(-16\/7)*(p*p**(1\/15)*p)\/p**21)**44 assuming p is positive.\nAnswer: p**(-185812\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 r, and 2 f when four letters picked without replacement from {r: 1, j: 13, f: 2, m: 1}?\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 13*b + 236 = 0. Let h = 53 - b. Let q be (86\/h)\/(3\/(-9)). Solve -5*d - q = -18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 22*g + 24. Let p be n(-1). Factor -i**p + 5\/2 + 1\/4*i**3 - 7\/4*i.\nAnswer: (i - 5)*(i - 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 686, 681, 666, 635, 582?\n\"Answer: -d**3 + d**2 - d + 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 - 52*n + 57 + 28 + 55*n)*(-7 + 1 - 1) as i*n + j*n**2 + p and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 27*u**2 - 23*u + 1. Let k be g(26). Suppose 20 = -k*p + 81*p. Solve 0 = -2*x - 8, p = 2*m - 2*x + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-1150) + 34\/(-425))*(-10)\/(-30)\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1266 and 18.\nAnswer: 3798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 6. Let o be j(-3). Suppose o*n = n. Let v = -73\/99 - -5\/9. Which is smaller: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chtcmh. What is prob of picking 1 c and 1 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1051922467.86147 - -1051880087. Let o = k + 42351.76. Let y = o + 29.1. What is y rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 5*q**2 + 5*q - 21. Let y be x(5). Suppose -2*g = 5*p - 3*p - 12, 0 = -2*p + y. Solve -g*k + l + l = -4, 5*k + 3*l = -17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a4 (base 11) in base 12?\nAnswer: -4bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -350, -699, -1044, -1385, -1722, -2055?\n\"Answer: 2*m**2 - 355*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (13*(-35)\/(-2275))\/((-4)\/200)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 1 + 3*x - x.\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 23 = 9*a. Solve 2*r + r - a = 0, -r = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -88\/997855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(9\/15))\/((-225)\/270).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/2))**(38\/3))**(2\/67) assuming a is positive.\nAnswer: a**(-38\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 361, -3\/4, -0.8, -0.3 in decreasing order.\nAnswer: 361, -0.3, -3\/4, -0.8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -9, -1, 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13282343.\nAnswer: 2657, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 450082169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0 + 3. Let l = 0.5 + 4.5. What is the second biggest value in l, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-71)\/2)\/(-71)*-38?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 - 1)*(2*y**2 - y**2 + 0*y**2 + (4*y - 4*y - y)*(34 - 39*y - 34))*(-3*y + 3*y - y) to the form r*y**2 + b*y**3 + f + n*y and give b.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -109 + 396. What are the prime factors of w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 277\nAnswer: -55.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5)*50\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*b*f**2*k + 5*b*f**2 - 7*b*f*k + 4*b*f + 173*b - 174*f**2 + 3 wrt f?\nAnswer: 18*b*k + 10*b - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -230.44 + -1.56. Let u = 232.2 + j. What is the smallest value in -4, 0, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2951760 divided by 84336?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1149386*t**2 - 574697*t**2 - 574698*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r. Suppose 3*h - 10*h = -21. Let m(k) = -k. Calculate h*m(q) - s(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*v**2 - 8*v + 0*v + 41*v**2 + 3 + 8*v to l*v + p + m*v**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -0*o - 2*o + 5*y, 5*y - 101 = -o. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvvvvvvqqvvv. What is prob of sequence vv?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 6*t + 8. Let j be g(-4). Suppose -5*q + 8*q + 6 = j. Let f = 4 - q. Calculate the highest common factor of 24 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 160, 291, 434, 589, 756, 935, 1126?\n\"Answer: 6*h**2 + 113*h + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 13*p**2 + p + 10. What is i(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19511377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k - 2 + 0 - 5 + 0. Let j be y(5). Suppose 0 = i - 2*q - 8, 4*i + 5*q - j = 25. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 0*b - 8*g + 615 = -9*g + 249 + 186, 3*g = 3*b - 108 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**3 - 12*g**2 - 6*g - 2. Let f(n) = 2*n - n**3 - 2 + 1 - 2*n + n. Let h(x) = 2*f(x) - r(x). Factor h(d).\nAnswer: 4*d*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**5\/60 - 15124*k**2. Let i(y) = 58*y**2 + y - y + 17*y**2. Determine w(i(c)).\nAnswer: 5625*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z**3 + 2*z**2 - z + 18. Let a be g(-3). Let p(t) = -a*t**2 + 4*t + 409*t**2 - 4*t - 191*t**2. Let f(s) = 12*s**2. Calculate p(f(b)).\nAnswer: 2448*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*y + 9 = 55*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 8 = z. Which is the second smallest value? (a) z (b) 2\/17 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*51\/34.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 11) to base 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -19. Let t = a - -15. What is the remainder when 31 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(704) + -1*sqrt(704) + sqrt(704)))**2 - (sqrt(704) - (6*sqrt(704)*-1)**2)) + -5 - (-3 + (-6*sqrt(704)*-2)**2)*-2.\nAnswer: -8*sqrt(11) + 239349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 5 + 0*c + 0*c.\nAnswer: 2*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 12047.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1630.53 and 4?\nAnswer: -6522.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = 6*q - 874. Calculate the greatest common factor of 207 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**4\/(a**(-2\/7)\/a)*((a**(-1)*a)\/a)**(1\/7)*(a**(-1\/6)\/a**(-6))**(1\/26) assuming a is positive.\nAnswer: a**(5861\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5413 is divided by 1794.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -542, 2, -7, -3, 78 in decreasing order.\nAnswer: 78, 2, -3, -4, -7, -542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 495616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.067019 or 3.243?\nAnswer: 3.243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 - 5*w**3 + w**3)*(-2 + 2 - 1)*(4 - 3 + 0 + (-4 - 3 + 5)*(-1 + 1 + 2) - 2 + 6 - 2 + 1 + 0 - 3 - 1 + 0 - 1 + 0 - 1 - 1 + 2 - 1 + 1).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**3 + 7099788*u**2 - 14199568*u = 0?\nAnswer: 0, 2, 3549892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**7\/180 + i**5\/120 + i**4\/8 - 4*i**2. Let o(l) be the second derivative of k(l). Calculate o(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97939.59ng in tonnes?\nAnswer: 0.00000000009793959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 10. Let m be ((-74)\/(-26) - 42\/(-273)) + -2. Let d(v) = 31*v + 1. Let s be d(-1). Let k be m\/2 + s\/(-4). Give o(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120001002021222 + -1?\nAnswer: -120001002022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 904512 and 6720.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**4\/24 + d**2. Let w(b) = -8*b**3 - 1. Let z be w(-1). Let x(p) = 3*p + z - 7. What is x(h(l))?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1050 (base 9) to base 13\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*i, 79*b + i + 227 = 81*b. Calculate the remainder when b is divided by 1\/(-2) + 63\/2.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o + 24. Let r be j(0). What is the common denominator of 49\/10 and r\/9*(-6)\/(-7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1522972?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 26*h**3 - 2*h**2 + h + 30*h**3 + 0*h to g*h + o*h**2 + x*h**3 + n and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 20*z - 1 - 9 - 9*z**2 - 1. Is l(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/1159 (b) 5\/28 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126963 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8348779ml to litres.\nAnswer: 0.0008348779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*f + 16 = 0, -1 + 9 = 3*v + 2*f. Solve 4*i - 3*i = v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 9*c = -56. Suppose -c*y - 36 = -11*y. Solve 0*x**3 - 4*x**3 - 2*x**5 + 3*x**5 - 15*x**4 + y*x**4 = 0 for x.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18620 - 18582. Put z, -100, -1\/4, 1\/4 in decreasing order.\nAnswer: z, 1\/4, -1\/4, -100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2475, -9921, -22331, -39705, -62043, -89345, -121611?\n\"Answer: -2482*m**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*p + 869 = -103*p + 3674. What is the lowest common multiple of p and 7 + 1*-1*1?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 23. Suppose -3*u - 16 = -5*s + 8, -4*u + 2*s - 18 = 0. Is f <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 - (4 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**2\/2 - 22*i + 542. What is y(15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/56 and 103\/68525368.\nAnswer: 479677576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -369.65466.\nAnswer: 1478.61864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 14*n**2 - 7*n - 5. Suppose 4*s = 6*s - 12. Is w(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + u**2 - 3)*(0*u + 6*u - 3*u) + 10*u**3 + 6*u - 3*u**3 - 9*u**3 + 9.\nAnswer: u**3 + 6*u + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 18\/2389?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((5*2*sqrt(70)*-2*-4)\/((sqrt(70) + 5*-2*sqrt(70))\/(sqrt(56)\/(sqrt(8) - -1*sqrt(8)) - sqrt(7))))**2.\nAnswer: 11038\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 - 42*d**2 - 35*d + 49. Calculate h(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 5*m - 1. Let q be j(6). Suppose -d = -54*d + 14 + 92. Put q, d, -3, 3 in descending order.\nAnswer: q, 3, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + sqrt(567)*-1*2)**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19005, -19005, -19003, -18999?\n\"Answer: f**2 - 3*f - 19003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/42 and -23\/20.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12810771.\nAnswer: 3, 617, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, x: 1, d: 4, i: 2}. What is prob of sequence ddd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24.7 (b) 0.01 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20758 or -35255?\nAnswer: -20758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p*p\/p**(-4))\/p*p**(-2\/11) assuming p is positive.\nAnswer: p**(64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 8. Let v be j(-7). Suppose -x - 4 = 0, -4*x = -2*k - x + v. Let s(q) be the third derivative of q**5\/60 - q**4\/4 - q**3 + q**2. Give s(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*z + 114*z - 14012680 = 0. Suppose -z = -10*q - 10*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 20*g + 25*g - 35, 7 = -q + 3*g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 428*t**2 - 5*t - 4. Let y(l) = l**2 + l. Let c(j) = -w(j) - 6*y(j). Let b be c(-2). Let q = 2687 - b. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 289.777nm?\nAnswer: 0.000000000289777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**3\/3 - x**2 - 3*x + 2. Let h(b) = b**2 - 2*b - 3. Determine 3*c(w) - 4*h(w).\nAnswer: -w**2 + 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6725997 and 27990?\nAnswer: 2799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-375)\/(-6))\/5*209*(-148)\/(-3515)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 6. Suppose -4*g - 2*l = -78, -5*g + 12*l = 11*l - 108. Calculate the remainder when g is divided by 33\/x*(-4)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 591 divide 1599246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 8) to base 7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4588 and 100430284.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -5 (c) 43 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2546 - 2945 = -17*s. Suppose -2*d = -2*b + 120 + 100, -5*b + 3*d = -548. Let r = s - b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11716476*k**4 - 1663186*k**2 - 8*k?\nAnswer: 281195424*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -318 >= -285574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3848173121 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 37*p + 190 + 96 = 0 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -517 in -14, 3, -1\/3, 15.7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3393, -6795, -10197, -13599, -17001?\n\"Answer: -3402*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3 = -2*j, j + 1 = s - 2*s. Let k = j - -6. Find the third derivative of k*d**2 + 3*d**2 - 2*d - 2*d**6 + 2*d wrt d.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**7\/1050 + 151*g**6\/300 + 301*g**5\/300 - 2495*g**2. Factor w(r).\nAnswer: r**2*(r + 1)*(r + 301)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -427 - -722. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 18, 0, 2, 0.73?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 55146 divided by -1516\nAnswer: -27573\/758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 5. Let y be (-4)\/(-6) - 252\/(-27). Let o be y\/(-6)*12\/4. Let k be x(o). Solve 5*n - 8 = -k*n - 2*f, -n = -2*f - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*i + 130, 5*n - 3*i - 41 = -171. Let a = n + 36. Let q = 45 - a. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**3\/3 + 9*a**2\/2 - 3*a. Let l be 0 + (0 - 3) + 0 + 6. Let f(d) = 2*d - 10. Let t(i) = l*q(i) + 2*f(i). Calculate t(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.07, -0.4, 19\/3, 1?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -204\/19 (b) 4\/7 (c) 1\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068 is divided by 218.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/2 - 12\/8. Let x(w) be the second derivative of w**4\/12 - 2*w**3\/3 - 3*w**2\/2 + 3*w. Is 2 a factor of x(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010011011111010011110 (base 2) in base 13?\nAnswer: -1002a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -525, -1390, -2833, -4854?\n\"Answer: -289*m**2 + 2*m - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 111100111111011 (base 2) to base 6\nAnswer: 400323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 291230 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(-2*u + 8*u - 3*u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/((w\/w**(-6))\/w*w)*w**(-10) assuming w is positive.\nAnswer: w**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + k = -0*k - 19, -b - 1 = -5*k. Let g(v) = 2*v + 4 + v**3 - 6*v**2 - 6 - 6. Let z be g(6). Solve -4*x - 2 + 6 = z*y, -b*x - 3*y + 7 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 14*d - 31. Let z be s(18). Suppose z + 1187 = 4*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -2*s - 102. Suppose 3*o + 3 - 8 = -n, -4*o + n = -s. Put -2, o, 0, -3 in decreasing order.\nAnswer: o, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 46 - 89. Is n bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 8*x**2 + 3*x + 12. Let n = -6 - 8. Let u = n - -33. What is the remainder when t(8) is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(2*1*(-2)\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1909096 to the power of 1\/2, to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2519 + -2518.7. What is the closest to -0.1 in 2\/13, 8, -2, v?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, o: 2, b: 4}. What is prob of sequence oh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*v - 40 = 0, -3*v = 5*g - 0*g - 177. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19957574, 39915155, 59872736, 79830317, 99787898, 119745479?\nAnswer: 139703060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57413.\nAnswer: 57413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 203 and 4725434.\nAnswer: 4725434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(242) + -1)*2 + -1)**2 + (-1*sqrt(242)*1)**2 + (((sqrt(242) + 0)**2 + sqrt(242))*-3 - sqrt(242)).\nAnswer: -176*sqrt(2) + 488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 8*x + 3*m - 59, -4*x + 31 = -3*m. Suppose -8*c - 15 = -55. Determine z, given that 33*z**4 - 15*z**3 - 6*z**5 - 4*z**5 + 32*z**4 - x*z**c = 0.\nAnswer: 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.645 + -0.6449493. What is l rounded to six decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 17280 (c) -5 (d) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 6 - 9 + (3 - 2 + 0)*(1 + 1 - 4))*(3 - 2 + 1)*(-w - w + w) + (-1 - 3 + 2)*(-w - w + 0*w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/170 and -121\/1445040?\nAnswer: 24565680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4067)\/2*712\/(-623)?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 11033?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 6*d + 7. Let z be j(-5). Suppose -4*s = 3*r - 31, 3*s = z*r - 14 - 1. Let c = -41 - -67. What is the remainder when c is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*2\/(-24)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6003\/(-10005)*((-5)\/6)\/((-273)\/28)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19563 (b) 4 (c) -1 (d) 0 (e) 0.2 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddnbbdndddndd. Give prob of sequence bb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 7 (b) -0.04 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjbjjjjb. What is prob of sequence jbb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -7\/60*h**5 + 0*h - 1\/120*h**6 - 3*h**2 + 0 - 1\/24*h**4 + 1\/2*h**3. Does 5 divide y(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -12*z - 2*z + z. Let r(u) = u**2. Determine y(r(g)).\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 323642749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 22\/2743 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -103914.\nAnswer: 1\/51957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1135414 to the nearest ten thousand.\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -69572, -4\/5, 1\/4, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3464, 7199, 11212, 15509, 20096, 24979?\n\"Answer: h**3 + 133*h**2 + 3329*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from cmzcyaymvvmv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 43. Let z(h) = -h**2 + 11*h - 1. Let x be z(10). Solve k = g*k + x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244390032 to the power of 1\/2, to the nearest integer?\nAnswer: 15633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 - 11*u + 26. Let r be w(-13). Let v = -98 - r. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 779*i - 778*i - 9, 15 = -2*h + i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 8 + 11 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqeqqqeqq. What is prob of picking 1 q and 3 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*4*(sqrt(76) + -1 + sqrt(76) + -2 + sqrt(76)))**2.\nAnswer: -768*sqrt(19) + 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 - 4872081*k**2\/2 + 9744168*k - 9744170.\nAnswer: -(k - 2)**2*(k + 4872085)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34476141*a**4 - 2824548*a**2 - 2*a?\nAnswer: -827427384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 20\/(-50)*69\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.2 + 0.7. Let i = 1.5 - k. Let l = -3.4 - i. Which is the closest to l? (a) -0.4 (b) -2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2337537 and -0.5?\nAnswer: 2337536.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8721 and 123371883.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 + 4. Let d(b) = 2*b**2 - 3. Let v(s) = 4*d(s) + 3*k(s). Suppose -3 = 4*q - 11. Let t(a) = -a - q*a + a. Determine t(v(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*t**2\/5 - 14414732*t\/5 - 303468.\nAnswer: -(t + 758670)*(19*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2005 or 2008?\nAnswer: 2008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m = 4. Let v(j) = m*j**2 + 2*j**2 + 5*j**2 - j**2. Let n(k) = -k**2. What is v(n(r))?\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 2610?\nAnswer: 2615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5961 (base 15) to base 2.\nAnswer: -100101000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37285 + 37534. Which is smaller: k or 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5031 + 10?\nAnswer: 5041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 70 = 3*r - 4*s, 5*r - 100 = 5*s. Suppose 3*u - 5*y = r, 4*y = u + 2*y - 10. Suppose u = 5*b - 568 - 177. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.088023897 and 7.\nAnswer: 6.911976103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1770 divide 175476030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 2*24\/(-64)*-176 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*p**2 - 2*p**3 - 674*p - 3 - 21*p**2 + 1 + 2*p**2 - 26*p**2 wrt p?\nAnswer: -12*p - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.2 (b) 0 (c) -0.1 (d) 0.06148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165 - 165. Suppose -4*i - 100 + 112 = h. Solve -6 = 3*o, -i*o + 1 - 11 = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 6 + 6 + (-1 + 1 - 2)*(2 - s - 2) + 5*s - s + 0*s)*(-s**2 - 2 + 2*s**2 + s**2) to b*s**3 + y + z*s**2 + i*s and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 5*g. Suppose -3*c + c + 188 = g. Let s = c + -36. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 4.7. Let x = j + 2.1. Let a = -2.3999948 + x. What is a rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00163 to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n = 24*n - 126. Let x be 9*(n\/9 - 2). Calculate the greatest common divisor of x and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1915916830?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 23320.5273 * -0.3\nAnswer: -6996.15819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 29\/15, 2, -0.5, -0.1 in decreasing order.\nAnswer: 2, 29\/15, 0.1, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3570\/(-680))\/(((-84)\/(-16))\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 822 + 35*t - 33*t - 829. Determine j(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1468.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v = 17 + 83 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 362 - 7*b**3 + 18*b**3 - 2*b - 9*b**3 + b**3 - 373 as v + k*b + d*b**3 + h*b**2 and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/14 (b) 1 (c) 3 (d) -3787 (e) 0.3 (f) -1\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 340 - 1531?\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g + 1201 = 4145. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3\/5 - 444*c**2\/5 + 442*c\/5 = 0.\nAnswer: 0, 1, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 13 = -5*q, -3*y = -3*q - 0*y - 15. Let d be (3 - -3)\/(q\/(-2)). Let r be 5*d\/80 - (-19)\/4. Solve -5*p = -r*t + 50, -5*p = 4*t + 6 - 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (2 + -3)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-20)*-6)\/(-18)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41613, -83200, -124765, -166296, -207781, -249208, -290565?\nAnswer: -331840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 3*s - 5*s)*(-1 + 2 + 1)*(-20*s**2 + 42*s**2 - 20*s**2 - 43*s) - 3 + 3 + 3*s**3.\nAnswer: 7*s**3 - 86*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -6, 2024.\nAnswer: -6, -4, -2, 2024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 695715 and 695715.\nAnswer: 695715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 2*o**2 + o - 1. Let c be s(3). Suppose -1 = -4*m + c. Suppose t = 0, -w - 4*w + 60 = m*t. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*j + 906 - 37906 = 29*j + 856*j for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -49*u**3 + 224*u**2 - 11. Let o(f) = 25*f**3 - 120*f**2 + 6. What is -6*h(k) - 11*o(k)?\nAnswer: 19*k**3 - 24*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4785.375 tonnes to kilograms.\nAnswer: 4785375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 6*l**2 + 2*l - 12. Let i be v(6). Solve i = -6*a + 2*a - k + 15, -4*a + 24 = 4*k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (1 - 0) + (10 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10188 - -72473\/7. Let k = -165 + o. Which is the nearest to 0.1? (a) -0.4 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3390948 divided by 376772.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 18 + 2. Let o be ((-2664)\/165)\/(-4) - v. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + g + 243*g**2 - 20*g**2 + 9*g**2 + 68*g**2 in the form z*g + y*g**2 + h and give y.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.39613 and 0.09.\nAnswer: 0.0356517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 9. Let c be l(6). Is (2\/c)\/(8\/(-228)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51.8 - 52. Which is the third smallest value? (a) -0.3 (b) r (c) -4 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4.4. Let d = 1.6 + j. Let t be (4\/(-170))\/(1\/(-5)). Which is the nearest to 0.2? (a) d (b) -2\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-741 - -689) + 8 + 1?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182268 and 171.\nAnswer: 3463092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55354 (base 7) to base 9.\nAnswer: -21061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(((g*g\/(g*g**29))\/g*g)\/g*g))\/(g\/(g\/g**(-12))))\/((g\/g**(-2\/17)*g*g)\/(g**15*g)) assuming g is positive.\nAnswer: g**(916\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/3 + 14278\/(-1749). Let c = -1575\/848 + k. Calculate the common denominator of c and -95\/108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuu. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from ckzcckvkizazcvaza?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/33 + 1366\/(-7513)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*h**2*s*x + 278*f**2*h*s + 337158*f*h**2*s + 24*f*h*s*x - 3*h**2*x - 3041*h*s*x wrt h.\nAnswer: 2*f**2*s*x + 674316*f*s - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-5 - -4)*-11 + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 146 and 39402991.\nAnswer: 78805982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4807727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/5)*l**(1\/8)*(l**(-14))**(-44) assuming l is positive.\nAnswer: l**(24669\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 9:01 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m. Let j be t(-4). Does 2 divide 44\/j - (-2)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 12*g + 21*g - 329 = 0. Let i(p) be the third derivative of -7*p**3\/6 + 14*p**2. Let v(n) = n - 8. Give g*i(w) - 6*v(w).\nAnswer: -6*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*s + 10 = 82*s. Suppose 3*h + 4*v + 50 = -129, 4*v - 126 = s*h. Is h greater than -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1281521*i**2 - 249272742*i wrt i.\nAnswer: -2563042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4053*z**2 + 3*z - 9 - 1898*z**2 - 2150*z**2 + 0*z - 3*z.\nAnswer: 5*z**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 9*z - 52 = 0. Let l = z + 1. What are the prime factors of (22\/(-4))\/(l\/24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*j = -28. Let z(f) = f**3 - f**2 - 6*f + 1. What are the prime factors of z(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b. Let l(u) = 3*u**2 + 4*u + 4. Let p be 4\/(2 + (-12)\/9). Let n(r) = 4*r + p*r + 9 - r + 7*r**2. Let m(h) = -9*l(h) + 4*n(h). Calculate m(o(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3351*c**3 + 4*c - 4. List the prime factors of q(1).\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.44 * -713.\nAnswer: 3165.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (10 - 40\/48).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6768.2577 and -0.0086.\nAnswer: 6768.2491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*d - 1064. Calculate the remainder when d is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 7:05 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 8*b**2 - 14*b + 15. Let j be a(-9). Does 47 divide (-15)\/(-12)*94*j\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*u + 271, -3*v = -4*u - 15 + 288. Is u a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3))**(-10)\/(k**(-1\/4)*k)**(-11))\/((k**(-1\/3)*k*k**(1\/5)\/k*k*k)\/((k*k**7)\/k*k\/k**6*k)) assuming k is positive.\nAnswer: k**(163\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.7, -35, -16?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*b + 112. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - d**2 + 2*d + 6. Let q be f(0). Suppose h + 230 = q*h. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and 170?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5720*m + 52020 = -518*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**3 + 125*j**2 + 1250*j + 3990. Let w(q) = -2*q**3 - 62*q**2 - 620*q - 1996. Let a(s) = 2*o(s) + 5*w(s). Suppose a(v) = 0. Calculate v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4395.164 rounded to the nearest one hundred?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*q + 347 = -518 + 115 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 - -160. Suppose 7*a - 2*a - p = 0. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -20 (b) 8401.91 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2051776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154727657?\nAnswer: 7, 89, 101, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 14*w**3 - 7*w**2 - 3*w + 5*w**2.\nAnswer: -14*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(80)\/sqrt(2) - sqrt(40)))\/sqrt(2))\/(sqrt(640) - ((sqrt(640)*4 - sqrt(640)) + sqrt(640)) - sqrt(640)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4056 - 4056.3. Suppose 5*l = 5*t + 10, -27 = -2*l - l - 4*t. What is the smallest value in -0.4, l, s, 3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297346815?\nAnswer: 3, 5, 653, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3970311.439 rounded to the nearest one thousand?\nAnswer: 3970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -644 - -647. Solve -3*i - 3 = a*r, i + 2*r + 2 + 4 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(3)*-3)*-3)\/(1*(sqrt(162)*4 - sqrt(162))).\nAnswer: sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(7\/3))\/(u\/(u**(-1)\/u)))\/((u*(u*u\/(u**(6\/5)*u))\/u)\/u*u**(9\/2)) assuming u is positive.\nAnswer: u**(-89\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20067*a**2*k**3 - a**2*k + a**2 - 5*a - 36*k**3 - 20*k wrt a.\nAnswer: -40134*k**3 - 2*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -3)\/(1\/(-2)). Let s = c - -1. Let a = -1 + s. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - 3*d**2 + d**2 + (-2*d**2 - 3*d**2 + 3*d**2)*(3 - 5 + 5)*(-3 + 2 + 0).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -2*h + 70 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 23.5643um?\nAnswer: 0.0000235643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 84\/10 + (-2)\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718219 is divided by 121?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 106*v - 911. Let x be c(9). What is the highest common factor of x and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -665, -1282, -1913, -2564, -3241, -3950?\n\"Answer: -p**3 - p**2 - 607*p - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 933 a factor of 33921811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 16) to base 12.\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56477051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5793486 is divided by 3275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, v: 7}. Give prob of sequence vz.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7938.7 + 7932. Let z = 89 + -80.3. Let x = j + z. Which is the nearest to -0.3? (a) -0.1 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 = -13*g + 180 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1587*m**2 - 1830*m**2 - 4 + 4 as g*m**2 + t*m + v and give g.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huuhuuhuuuuu. Give prob of sequence uhh.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 230051.\nAnswer: 230050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -536*p + 532*p - 4*t, 0 = -7*p + t + 105 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(5*(sqrt(3) + sqrt(12)\/sqrt(4))) + 5 - sqrt(49)\/(sqrt(7) - -2*sqrt(112))*6.\nAnswer: -17*sqrt(7)\/30 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2312*w + 4623*w - 2301*w - 580 = 0 for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8105320.\nAnswer: 2, 5, 97, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -118602.\nAnswer: -1\/59301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 11*h - 16. Let x be l(9). Find f, given that 2*f**3 + 10*f - 8*f + f**x - 5*f**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 27*k**3 - 9657*k**2 - 12912*k - 4308 = 0?\nAnswer: -2\/3, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -1232?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**2 + 12*f - 57. Let q(v) = 4*v + 11. Determine q(g(a)).\nAnswer: -20*a**2 + 48*a - 217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 47 (c) 1\/535\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -775 + 1021 = 7*a + 4*w, 0 = 21*w - 42 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 1\/4 (c) 0.5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2 + 7 = -3*y, 7 = -4*y + 5*i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, f: 5}. What is prob of sequence ffb?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-20)\/i**21*i**(-2\/9)*i*i**(-5\/3) assuming i is positive.\nAnswer: i**(-377\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147 and 21.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*sqrt(98) + -5)**2.\nAnswer: -448*sqrt(2) + 1632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -15 - ((-5 - -24) + 2 + -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 29*y - 22. What is the smallest common multiple of 10 and q(-30)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 6:52 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -613\/1025 + 18\/25. Let s = 47\/287 + w. Factor 0 + 6\/7*u**4 + 6\/7*u**3 + 2\/7*u**5 + 0*u + s*u**2.\nAnswer: 2*u**2*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 6. Let x(v) be the second derivative of v**3\/6 - 5*v**2\/2 + 5*v. Let l(g) = -5*h(g) - 6*x(g). Let n(s) = -10*s - 3. Calculate n(l(r)).\nAnswer: 10*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1.99, -684, -4, 3?\nAnswer: 1.99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-27))\/(1\/7 - 5840\/1680).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -669 + 2204. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 10134*g + 12 = 10139*g, -g = -5*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 6*f - 5897 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -1\/3, -2\/215?\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 41*p**2 - 78*p - 5. Determine i(39).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2.5. Let j = -3 - -3. What is the third biggest value in j, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02879683 * -4.\nAnswer: 0.11518732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 819 or 818?\nAnswer: 819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Let y(l) = -q*l - 1 + 4 - 4. Suppose 2 = -2*n - 2. Give y(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -58. Let v = z + -33. Let k = v + 63.0031. What is k rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-414)\/140 + 5\/(-35) and 29\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.5 + 3.5. Which is the third smallest value? (a) r (b) -14 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 6*v - 8 - 3)*(0 + 3 - 2).\nAnswer: -6*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11032*f + 10654*f + 354 - 21688*f.\nAnswer: -2*f + 354","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3600 and 2880.\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bd + 3?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124a08 (base 12) to base 11.\nAnswer: 194433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -102221202?\nAnswer: 102221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*r + 72*r**2 + 20*r - 40*r to y*r + j*r**2 + i and give j.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 5:43 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5934 + 7201. List the prime factors of k.\nAnswer: 5, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5219 is divided by 74.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11928 (b) 1 (c) -2\/19 (d) 60\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*o - 10 = -2, -q = 4*o + 3. Calculate the remainder when ((-32)\/(-12))\/((-2)\/(-24)) is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22105515*c*u**2 - 26*u**2 + 7607*u with respect to c.\nAnswer: -22105515*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4898646 minutes to hours.\nAnswer: 0.00816441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 256971\/715 - 360 - 166\/(-110)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -56*l**5\/5 + 174*l**4\/5 - 26*l**3 + 12*l**2\/5 = 0.\nAnswer: 0, 3\/28, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 44. Let r = 14 + z. What is the units digit of (2\/2)\/(r\/77)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from nniir.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1350 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h. Let n(o) = o**3 - 4*o**2 + 4*o - 3. Let g be n(6). Let f(z) = 42*z + 43*z - g*z. Calculate f(u(p)).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1142767, 1142769, 1142773, 1142779, 1142787, 1142797?\n\"Answer: c**2 - c + 1142767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -39*v**5\/20 + v**4\/2 + 9*v. Find the third derivative of y(m) wrt m.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/2)*o*o*o*o**(-3)*(o*o*o\/o**(2\/5))\/(o**(-3)\/o)*(o\/(o\/(o*o**(-3\/7)))*o**(-2\/5))**(-4) assuming o is positive.\nAnswer: o**(379\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-1)\/(5\/5). Let k(j) = -1252*j + 3. Is k(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 g when three letters picked without replacement from mmtiggiiigtigiiigig?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 4*x**2 + 2*x. Let i be r(2). Suppose 2*l - 2*j + 4*j = 18, j - 45 = -i*l. Calculate the remainder when -2 + 20 + 4 + -1 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/14273 and 91\/15.\nAnswer: 214095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*s - 354*s + 56684862 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 73*y**2 - 1640*y - 158. Calculate w(-91).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3737*a**4 + 30*a**2 - 2*a + 45363?\nAnswer: -14948*a**3 + 60*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029\/35 + (-3)\/(-5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*q + 6 = 5*q, -2*q = 2*x - 4. Suppose 50 = 4*k + x*u - 58, 0 = 4*k + 4*u - 116. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -190*j**2 + 12895*j. Let d(b) = -8*b**2. Determine y(d(c)).\nAnswer: -12160*c**4 - 103160*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12415646 (base 7) in base 3?\nAnswer: -2010102202212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 9:37 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32\/11 in 315, -1, -37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 16. Let a be (-4)\/(-14) - (-2)\/(-7). Let p be 0 - ((-4)\/(-1) + -3)*0. Solve a = -5*n - 4*h + 4, p = -5*h - 0 + w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-14)\/7)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3509, 3, 10 in descending order.\nAnswer: 10, 3, -4, -3509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2 - 10. Suppose -l = p - 5*p. Suppose 26 + 76 = p*t. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/7, 0.16, 12?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-2)\/(-4) + 3. Suppose -a*f = -1 - 3. Is f\/(-1) - 25\/(-5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - 4*sqrt(70)*-3 - sqrt(70))*5)\/(sqrt(60)\/((sqrt(6) - sqrt(66)\/(sqrt(11) + -3*sqrt(11))) + sqrt(6))).\nAnswer: 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22\/7 + -95\/28. Let g = 2135\/7909 + 2\/719. Let l be 8\/68 - (-646)\/(-578). What is the nearest to g in f, l, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 less than -132.5178?\nAnswer: -214.5178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 160029.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**6\/2 - 17*k**4\/12 - 37*k. What is the third derivative of v(d) wrt d?\nAnswer: -360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 278442 and 37868112?\nAnswer: 37868112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6) - (-969)\/(-1530).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -62.3 (b) 225 (c) -0.08 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 1. Is 5 a factor of (i\/(-5))\/(1\/25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5829.00014308 - -5829. What is w rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/7 (b) -0.3 (c) -2 (d) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 11*y**2 + 34706*y - 277884. Calculate f(8).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 6455, -2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26*9\/24)\/((-3)\/40). Let r = -55 + i. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10097, 20191, 30285?\nAnswer: 40379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 (base 13) in base 6?\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - n. Let y be f(3). Let k be (-4)\/36*y\/(-4). Let q = 2 + -2. Which is the nearest to -0.1? (a) k (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8285249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, q: 2, i: 9}. Give prob of sequence yiyi.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 7*q**6\/60 + q**5\/30 - q**4\/24 - q**3\/3 + 2*q**2 - 58. Let b = 69 + -67. List the prime factors of m(b).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = 4130*b - 8218*b + 4108*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*u**2 - 29*u**2 - 17*u**2.\nAnswer: -138*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -9.\nAnswer: 35\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148 - -165. What is the remainder when 56 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35, 451, 971, 1543, 2185, 2915, 3751?\n\"Answer: 3*b**3 - b**2 + 468*b - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*k - 449 + 44 = 0, -5*y - 3*k = -685. Calculate the remainder when y is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 369083.\nAnswer: 9\/369083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h - 109*h - 243 = -9*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5, -42*x = 3*i - 43*x - 23540. List the prime factors of i.\nAnswer: 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**6\/30 - n**4\/12 + n - 1. Let b(a) be the first derivative of r(a). Factor b(d).\nAnswer: d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5 + 25 = 2*l, 5*l - 2*d = 66. Suppose 2*t = l - 0. Suppose 38*m - 5166 = -44*m. Calculate the highest common factor of m and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -2230 (b) -3 (c) -2\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7) - (-24)\/(-14). Let t be (-330)\/(-70) - m\/7. Suppose 0 = t*v - 10, -5*b + 2*v - 4*v + 184 = 0. Calculate the highest common divisor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.53 + -466.\nAnswer: -466.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1352812631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1479*l + 742*l + 738*l - 948. Calculate the highest common divisor of l and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*z + 99*z - 96 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 27363.\nAnswer: -27362.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*d**5 - 1816*d**4 + 568*d**3 + 5424*d**2 + 1820*d - 1208 = 0. Calculate d.\nAnswer: -1, 1\/3, 2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46923579 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2528 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 193.7 and -0.1?\nAnswer: 193.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16941389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/7)*x*x\/(x*x**30*x) assuming x is positive.\nAnswer: x**(-214\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 3138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*r - 25, 3*r - 2*r + 8 = 4*m. Let n = 46 - 5. What is the lowest common multiple of n and m?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/7188363 and 41\/286104?\nAnswer: 57506904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/20*(2 - 7)\/1. Let w be 40\/(-243030)*9\/v. Let g = w - -324142\/413151. Find the common denominator of g and -5\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**4*i)**(-44)*i**(1\/2)*i**(2\/31)\/i assuming i is positive.\nAnswer: i**(5429\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -140, -4, -2.\nAnswer: -140, -86, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 13*a**6\/120 - 7*a**4\/4 + a**3\/3 - 4*a**2 + 11. Find the second derivative of l(v) wrt v.\nAnswer: 78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 6. Let v be ((-159)\/(-265))\/((-24)\/10). Which is the second smallest value? (a) 10 (b) v (c) 2\/11 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30 (b) -1\/105 (c) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 9:00 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 128 + 144. Let q(i) = 0 - 9 - t*i**2 + 33*i**2 - i - 9*i. Let j be q(-4). Which is smaller: 13 or j?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/42 + 12\/(-7). Let a be (1395 - m) + (-1 - -5). Is a*-3*3\/(-27) 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 70170867?\nAnswer: 3, 13, 97, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -258 + 250. Let f = -9222133.999998 + 9222126. Let g = y - f. What is g rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 20*a**2 - 158*a - 14. Determine b(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 0*s + 0*s**5 - 2*s**2 + 0*s**3 + 1\/40*s**6 + 0 - 1\/8*s**4. Find the second derivative of o(r) wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(m**2 + 2*m**2 + 3*m**2) + 23*m**2 + 254*m - 254*m to i*m + y + x*m**2 and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2317*g + 20927. Calculate s(-9).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 3*x**2 + 19*x + 15. Calculate the smallest common multiple of q(-6) and 104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/2)\/(1\/(-2)). Let s = y + -5. Suppose -5*t + 23 + s = 0. Solve 3*q - 1 = 4*q - 2*a, q + t*a = -8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 1\/2, -2\/3, 2\/9 in descending order.\nAnswer: 1\/2, 2\/9, 0.01, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 4*i + 1. Let v(h) = -h - 23. Let o be v(-19). Let f be 18\/o - (-3)\/(-6). Calculate q(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*((1 + 1 + 0)*(-1 + 3 - 3) + 44 + 6 + 27)*(1 - 2 - 1)*(q + q - q) in the form t*q + p and give t.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1366, -2698, -4030?\nAnswer: -5362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2 + 2 + 27*c**2. Let w(m) be the third derivative of -m**6\/720 - 13*m**4\/3 + 132*m**2. Let y(d) be the second derivative of w(d). What is y(p(k))?\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45568 and 896?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -97a17 (base 11) to base 15\nAnswer: -2c279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5*(3 + 0 + sqrt(3) + sqrt(3) - (sqrt(3) + 1 + sqrt(3))*-2) + (sqrt(96)\/sqrt(2) + sqrt(48) - ((sqrt(24)*2)\/sqrt(8) + sqrt(3)))*-1))**2.\nAnswer: 20000*sqrt(3) + 40000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15708 + 23733. Is u a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145692*w + 291308*w - 145621*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 13\/71?\nAnswer: 13\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14186 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s - 4. Let c be f(6). Let l(n) = -9*n - 1. Let o be l(-1). Calculate the greatest common divisor of c and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/3, -2\/15, 9, 2\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(114)*-2)\/(sqrt(54)\/(sqrt(18)\/sqrt(2))).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 9*d - 7. Suppose -4*i = -0*o + o + 10, 6 = -o - 3*i. Let s be a(o). Solve -h = -c - 4*h + s, -c = -3*h + 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c**3 - 16*c**2 + 16*c**2 - 230*c + 230*c + 21*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -760.82224 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2779 is divided by 2687?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - 14*w + 109. Let t = 243 + -235. Does 12 divide v(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5137 = -8*v + 247. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20364 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**4\/2 - 7*y**3\/3 + 2*y + 1. Let f be b(-5). Calculate the greatest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-15))\/(37\/(1850\/60)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**6\/90 - 7*w**4\/6 + w**3\/3 + 30*w**2. Let i(y) be the first derivative of j(y). Differentiate i(c) wrt c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30992210 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.1. Let a = -56 + 59. Put v, -1, a in decreasing order.\nAnswer: a, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 80\/(-6)*9\/(-6). Suppose 12*q = 17*q - 200. What is the greatest common divisor of r and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f*f**(1\/3))\/f))*f**(-1)*f**(-3)\/(f*f**8))**(-43) assuming f is positive.\nAnswer: f**(1634\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -103498.\nAnswer: 103498.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**7)\/c**12*(c*c**(6\/11))\/c*c\/(c*c*c**3*c*c) assuming c is positive.\nAnswer: c**(-104\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7895*l + 7895*l - 607*l**2 + 2)*(-5*l + 2*l + l + (3 - 1 - 3)*(l - 5*l + 2*l) + 3*l - l - 3*l).\nAnswer: 607*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 7. Let b be y(13). Let j = 10 - b. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l*u**2 - 4*l*u*v**3 - 40*l*u*v - 6*l*u + 2*l*v - 32775*u**2*v**3 wrt u.\nAnswer: -2*l - 65550*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 6*g - 2. Let f(d) = d**2 + d + 1. Calculate -4*f(x) - i(x).\nAnswer: -3*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1981*d**3 + 2*d**2 + 572?\nAnswer: 11886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*i**3*l**2 + 337845*i**3*l*x**2 - 7*i*l**2*x**2 - 12*l**2*x - 7131*l wrt x?\nAnswer: 675690*i**3*l - 14*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -958, 4, 24, 3, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Let x be a - (0 + 1)\/1. What is the greatest common factor of 2 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 18. Let c(g) be the first derivative of 6*g + 5*g**2 - 6*g - 6*g**2 + f. Let v(i) = -2*i**2. Determine c(v(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/2 - 3\/(-6). Suppose -4*y - 71 = -z*y - 5*d, 2*d - 240 = -5*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**3 - 5*f**2 + 58. Let s(r) = -6*r**3 + 31*r**2 - 27*r**2 - 37 - 20 + 0*r**3. Let l(m) = 4*h(m) + 5*s(m). Differentiate l(z) with respect to z.\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560*p + 3209*p = 204*p - 303025 for p.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3346718 - 3431088\nAnswer: -6777806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 31*h - 24 = 26*h, h - 6 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 188 = -188 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 215.898 + 0.102. Let s = f + -148. Let d = -67.9 + s. What is the smallest value in d, 1\/8, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6163 (base 12) to base 4.\nAnswer: 2211123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - d - 2*d + (-2*d - d + 4*d)*(-1 + 4 - 1) - 5*d - 3 + 3.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 291 - 83 = 0. Suppose -3*y - t = -38. Let z(q) = q**2 - 3*q + 3. Determine z(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127711248 and 11319?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1314004, 1313999, 1314002, 1314013, 1314032, 1314059, 1314094?\nAnswer: 1314137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2868\/13 or 221?\nAnswer: 2868\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -35732.2664 to the nearest 10.\nAnswer: -35730","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/32624 and 75\/88.\nAnswer: 358864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2.1, 5\/4, 0.06 in decreasing order.\nAnswer: 2, 5\/4, 0.06, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -7 - 3 - (-3 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - u**3 - 2*u**3 + 8*u**3 - u**3 + (4 + 0 + 0)*(4*u**2 - 2*u**3 - 4*u**2).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/4))**(-2\/101)*(l\/l**(-1\/4))**30*(l**0)**(1\/19)*(l**(-1\/2))**11 assuming l is positive.\nAnswer: l**(6461\/202)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 37*b + 4. Let k(w) be the third derivative of w**4\/8 + 1142*w**2. Calculate k(u(j)).\nAnswer: 111*j + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -122 (b) -1 (c) 9 (d) 0.5 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 - 330*q - 349. What is g(83)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 481 + -383. Suppose -1946 = -14*h - v. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5 + 47891*l**4 - 191646985*l**3 + 4133592909*l**2 - 14735764512*l - 19061052300 = 0. Calculate l.\nAnswer: -1, 6, 50\/3, 7971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 72*u - 83*u. Which is the fourth smallest value? (a) 0.2 (b) -14 (c) 0 (d) -4 (e) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**4\/4 - 5*c**3\/6 - 2*c**2 - 22*c - 20. Let q(b) be the first derivative of m(b). Let x be q(3). Solve -x = r + r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133523?\nAnswer: 13, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*x**3 - 657695*x**2 + 2703640270*x - 1013772615 = 0. Calculate x.\nAnswer: 3\/8, 8221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 6*c + 48. Let f be m(8). Is f < 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 1992?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 31*o + 436. Let t be c(-14). Let z(k) = 2*k**2 - 86*k + 166. Calculate z(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738902 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -2\/7 (c) 0.01 (d) 25\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*s + 4497*s + 2208*s - 2413*s + 1 + 4592*s.\nAnswer: 9074*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 23. Calculate the smallest common multiple of ((-2)\/(-6))\/((-4)\/36) - -9 and (3 + 0)\/(6\/w).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 times -2.95?\nAnswer: 156.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -55, 0.4, 1, 0.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - 3*i**2 + 6*i - 8. Let w be n(2). Let h = 47 - 39. What is the greatest common divisor of h and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5252678 and 3088546?\nAnswer: 7166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 11*h - 282. Let c be d(-15). Solve -b + 3 = c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1403612 and 0.36.\nAnswer: 1403612.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 11*m**2 + 18*m + 19. Calculate the remainder when 168 is divided by y(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5330 and 1312.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3 - 10610*s**2 - 95696*s + 233816 = 0. What is s?\nAnswer: -11, 2, 5314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3 + 2*v**3 - 5*v**2 - 8*v - v**3 - 4 = 0. Calculate v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 11*v**2 - 6*v - 3. Give l(-2).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 9. Let n(x) = -s - 2*x + 7. Let j(q) = 2*q - 2*q + 2*q. What is j(n(z))?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - -30. Let n = -25 + b. Calculate the remainder when n is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 1 = -g, 4*g - 4*w + 146 = 150 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1811 is divided by 59?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 376, 523, 614, 631?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 7. Determine z(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 841130 and 48374?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 766, 765, 764?\n\"Answer: -z + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**5\/4 + 1095*w**4\/2 + 4371*w**3\/4 + 546*w**2.\nAnswer: 3*w**2*(w + 1)**2*(w + 728)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, -49, -2\/7?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 851 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 - 2*u - 379. Let q(r) = -r**2 + 190. Calculate 2*b(g) + 5*q(g).\nAnswer: g**2 - 4*g + 192","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48925 - -87828. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13374 or 2\/21?\nAnswer: 13374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a - 3*a - 4*a)*(4 - 4 - 2*a**2)*(-3 - 2 + 6) + 8*a**3 - 2*a**3 - a**3 as v*a + u*a**2 + r + k*a**3 and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 333, -5, 3, -1, -4 in increasing order.\nAnswer: -5, -4, -1, 3, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 15 = 4*b - 7*b, -4*v + 12 = -5*b. Solve 0 = v*s + 11*s - 56 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56829 by -5.\nAnswer: 56829\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 43, 93, 143, 193, 243, 293?\n\"Answer: 50*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 4:56 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 3*a + 2. Let z(k) = -1 + 8*k - k - 6*k. Let j be -3*-2*(-3)\/(-6). What is j*z(l) + i(l)?\nAnswer: l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + b**2 + 64. Let v be ((-7)\/(-4) - 2)*0. Calculate the remainder when l(v) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-10)*(-10)\/15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 = 0, 4*l - i = 3*i + 8. What is the biggest value in -3\/8, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/(-60))\/(2\/(-160)). Let c = j + -14. Suppose 3 = 4*s - 2*s + 3*y, -2*y = 4*s - c. Solve 2*b - s = 2*d, -2*d + d = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10967 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*u + 2*u - 23, -3*x + 2*u = -7. Suppose x*k - 341 - 49 = 0. What are the prime factors of ((-2)\/4 - k\/(-4))*7?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -3*a**5\/20 - 15*a**4\/4 + 73*a**3\/2 - 171*a**2\/2 + 6*a + 87. Factor w(o).\nAnswer: -3*(o - 3)*(o - 1)*(o + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*-1579\nAnswer: -2368.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.63 and 1?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 13 + 5 = 0. Let j be (754\/b)\/(-4 + 5). Suppose n - 6*y = -3*y + j, -5*n - 5*y = -1785. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(66)*-1)\/sqrt(6)*6)**2*4.\nAnswer: 144*sqrt(11) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6, -4*i + p = -1 - 0. Suppose 3*v - 13 + i = 0. Suppose -5*j + u = 30, -v*j + 3*u - 2 = 33. Put 0, 2, j in descending order.\nAnswer: 2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcobbjmbbjbbjccc. Give prob of picking 2 c and 1 v.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35222.39ml in litres?\nAnswer: 35.22239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2 + 4*s**2 - 11*s**2 - 5*s + 11*s**2. Let l be (-2)\/(9\/(-6) - -1). What is d(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i**5 - 4*i**4 + 278*i**3 - 572*i**2 + 160*i = 0 for i.\nAnswer: -8, 0, 1\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/6)\/((-6)\/16). Let k(y) = 5*y**2 - 2*y**2 - 2*y**2 - 3 + u - 6*y. What is k(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8112416.\nAnswer: 2, 13, 19501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**0*s))**(-1\/10))**(-43) assuming s is positive.\nAnswer: s**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.428872724 less than -7.11?\nAnswer: -10.538872724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106562012, -106562013, -106562014, -106562015?\nAnswer: -106562016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*n - 48 = 40, 5*u + 119 = 4*n. Let v = -3887 - -3878. Let d = v - u. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/(-21152)*(-22)\/(-66). Is x <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 591*j**2 + 49951*j + 72. Give i(-75).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 155389?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -1\/46, -10, -17\/28?\nAnswer: -17\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, y: 1, o: 2, w: 8, b: 1, g: 6}. What is prob of sequence gow?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7808 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - 8 - (-20 + 25)) + 23 - -3) + 66?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -17*u**5\/60 - u**4\/24 + 20*u**3\/3 + 30*u - 2. Let i(g) be the second derivative of l(g). Let r(c) = 9*c. Determine r(i(j)).\nAnswer: -306*j - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 17 = -2*o - v, -3*o + 5*v - 3 = 0. Suppose -291 = m - o*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 8:26 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166530319.2ms to weeks.\nAnswer: 0.27534775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/4 - 2\/(-8). Let b be h*3\/(9\/4). Suppose 15*k = -4*u + 11*k - 24, -6*k - 46 = u. Sort b, u, -9 in increasing order.\nAnswer: -9, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/4, 0, -13, -6, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*b - 17*b + 15170 = 0. What is the third smallest value in -3, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = 28*c - 3536. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.6701 - -1.705. What is b rounded to 2 decimal places?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2908721 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -94. Suppose z = -4*p + 13 - 25. Put 1, -6, p, 0 in decreasing order.\nAnswer: 1, 0, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585118797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32470723*r**2 + 918841*r - 92 wrt r?\nAnswer: -64941446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 194 + -189. Suppose -4*q = 4*h - 72, 0 = 3*q - z*h - 30 - 16. Solve 3*d = -0*t - t + q, d + 5 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvxvxxvvxnx. What is prob of picking 1 y and 1 v?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrbyy. Give prob of picking 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -55 - (-3710 + 3792)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**2 - 35*l - 19. Let a(j) = -23*j**2 - 117*j - 57. Let b(d) = 2*a(d) - 7*z(d). Calculate b(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 23*t - 4. Let c be p(4). Suppose c = z - 31. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x - 1. Let w(n) = -n - 1. Give -r(k) + 3*w(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*p + 878 = 10152 + 3417 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18305368 is divided by 2470.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 122271989 a multiple of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 266.8 + -259.8. Which is the closest to -7\/8? (a) k (b) 5 (c) 2\/11 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((3 + sqrt(612))**2 - (sqrt(1700) - -2*sqrt(1700))).\nAnswer: 6*sqrt(17) + 619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*o = -9 - 17, w - 3*o = 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.7457 + 0.7457. Let m = -3 + 2.94. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**2\/d**(-19) assuming d is positive.\nAnswer: d**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyyyyyrdymydyldyyr. What is prob of picking 1 y, 1 h, and 1 m?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4\/5, -1\/5, 11, 3, -3.83 in descending order.\nAnswer: 11, 3, 2, -1\/5, -4\/5, -3.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-2)*(126\/6)\/(-21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0.95. Let p = 15405.2 - 15405. Which is the fourth biggest value? (a) 2 (b) p (c) -0.1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 l, and 1 w when four letters picked without replacement from wnlwklqkanna?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 17 = -375*r + 373*r, 5*r = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 18567456.6 hours?\nAnswer: 110520.575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 205*g**4 - g**2 - 2*g - 1 wrt g.\nAnswer: 2460*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28194, -28067, -27842, -27507, -27050, -26459?\nAnswer: -25722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 634906672254 + -2.87\nAnswer: 634906672251.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 14*x + 18. Let r(w) = -2*w**2 - 29*w + 37. Let a(n) = 5*d(n) - 2*r(n). What is the units digit of a(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 1. Let w be o(8). Find the second derivative of 3*k - w*k - k - 22*k**2 wrt k.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 940*n - 48189. What is z(51)?\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-650))\/(6\/20)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 + 106*x + 1300. Give b(-11).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*x**2 + 22*x**3 - 52*x - 581*x**3 + 35*x - 169*x**3 wrt x?\nAnswer: -4368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86347 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1685114*0.07\nAnswer: 117957.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15753649*r**6 - 2013102*r**2 + 2.\nAnswer: -1890437880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23524, 23469, 23414, 23359, 23304, 23249?\nAnswer: 23194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79089419246 + 0.0262?\nAnswer: 79089419246.0262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101\/97 + -89\/194. What is the closest to -1 in -1, h, -4, -3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 13. Let g = 6.5 + q. Let d = -5.5 - -5. What is the nearest to 2\/7 in d, g, 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 9*h - 92. Sort h, -2, -3 in decreasing order.\nAnswer: h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 0.1. Let d = -0.12839 - 0.37161. Let y = 2 + -2.4. Put d, c, y, -3 in descending order.\nAnswer: c, y, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 0.161 (b) -4.8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 2. Give n(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -a4123?\nAnswer: -a4122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:05 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5 - 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53644241 divided by 70307?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*w - 101*w + 53*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3263268, 6526541, 9789814?\n\"Answer: 3263273*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-2) - 2)*220. Let a(p) = 4*p - 6. Let d be a(4). What is the greatest common factor of i and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*y = -23, 0 = 3*r - r - 5*y + 29. Let t = 27 + r. What is the greatest common factor of t and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u. Let z be 0 + 6 - (1 - (0 - -1)). Let p(a) = -5*a**2 - z*a**2 + a**2 + 15*a**2. Determine p(w(n)).\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1615*v. Let i(q) = q. What is c(i(u))?\nAnswer: -1615*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvccjccvjjcccvvjvc. Give prob of picking 2 c and 2 j.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -143\/6 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48350316 - 48348460 = 116*l for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 54\/(-18) - 183\/1. Is 25 a factor of 279\/g + -1 + (-4986)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -502103735127233\/588480930 + 712088\/1590489. Let p = 853219 + f. Let i = -1\/74 - p. Put 2\/17, -2, i in decreasing order.\nAnswer: i, 2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q + 26 = 31*q - 3*h, -2*q = 5*h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 5, -35, -4, 569 in descending order.\nAnswer: 569, 5, 2, -3, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1556060*l**3 + 363*l**2 - 363*l. Let b(m) = 8597*m**3 - 2*m**2 + 2*m. What is 2*a(d) + 363*b(d)?\nAnswer: 8591*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-125)\/(-75)*(-6)\/20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 532662307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**5\/4 + h**4\/6 - 7*h**3\/3 - h**2\/2 - 9*h + 20. Let q(f) be the first derivative of l(f). Is q(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a20 (base 11) to base 9\nAnswer: -3457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -35. Let m be (i - (-249)\/90)\/((-3)\/48). Let h = 12\/5 - m. Which is the smallest value? (a) -0.2 (b) h (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**5 - 4*a**5 - a**5 + (3 - 3 + 1)*((3 - 2 + 2)*(-a**3 + a**3 + a**5) - a**5 - 4*a**5 + 0*a**5).\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, m: 3}. What is prob of sequence ymym?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84619 divided by -2287.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*g**2*l**2 + 6*b*g + b*l**2 - b + 143*g**2*l**2 - g**2*l - 15*l wrt g.\nAnswer: -4*b*l**2 + 286*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1727? (a) -4.2 (b) 2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/461230 and -61\/73865?\nAnswer: 619431890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from ffffyfggfggffgffafg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmrwcmch. Give prob of sequence mh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 - -65. Put p, 4, -1, -3 in increasing order.\nAnswer: p, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1121133331302 + 1?\nAnswer: 1121133331303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97 - -651. Let m = y - 312. Suppose 5*g + 163 - m = 3*a, 61 = g + a. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4448 = -63*x + 71*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 34893670.\nAnswer: -2\/17446835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*t - z + 13040020, 0 = 4*t - 2*z + 13040008. What is t rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q + 1. Let r be z(-2). Let u = 0.4 - -0.1. Let p = 1710 + -1707. Which is the fourth smallest value? (a) 0 (b) p (c) r (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.498321us to milliseconds.\nAnswer: 0.005498321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 276174001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 1010100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3 = -o. Let g = o - -1. Let l = 17 - g. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-24)*9120\/(-17784).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 286878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2127, -5219, -8311, -11403, -14495, -17587?\n\"Answer: -3092*u + 965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.11 (b) -3\/5 (c) 4 (d) 93.1 (e) -0.5 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 5*f**2 + 6*f. Give y(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2859*z**2 - z + 47. Is h(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.47905 kilometers in millimeters?\nAnswer: 99479050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -1. Let y = -1.41 + 0.937. Let w = -0.073 - y. What is the second biggest value in w, p, 4\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*d + 2*d. Suppose -k + d*k - 33 = 0. Let b = k + 13. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 88774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 7. Suppose 0 = 3*f - 2*j - 115, -5*f + f = w*j - 138. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5583\/94 - -2120840\/35673. What is the common denominator of k and 5\/18?\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*h = 34, 8*v - 79 = 4*v - 3*h. Find the first derivative of -27 + 2*a + 23 + 18*a**2 - v wrt a.\nAnswer: 36*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + 0*m - 2*m**2)*(-3*m + 5*m - 3*m) - 3*m + 4*m**3 + 3*m + 13771*m**3 - 14906*m**3 - 34950*m**3 to j*m**3 + d*m**2 + b*m + n and give j.\nAnswer: -36079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42565, -169928, -382199, -679378, -1061465, -1528460, -2080363?\n\"Answer: -42454*t**2 - t - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = -r - 3*d, d + 1604 = -4*r + 8*r. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*k + 102, 4*k = 7*k - 9. Suppose x*q = 96*q - 27. Solve 0 = 13*p - q*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - 3*h**2 + h - 2. Suppose 4*p = 5 - 1. Let r be p - (0 + 0 + -1). Let a be o(r). Solve 5*z - a*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*s**5 + 15*s**3 - 100*s**2 + 584630*s wrt s.\nAnswer: -100*s**3 + 90*s - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(252).\nAnswer: -5 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*s**4 + 23*s**3 + 162 wrt s?\nAnswer: 8*s**3 + 69*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -551 + 557. Solve -6*i + 12*i - g = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -3.4 (b) -200 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -316*p**3 + 3*p**2 - p - 1. Let i be y(1). Let u = 535 + i. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -255.97 + 256. Which is the smallest value? (a) 11 (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1700) + sqrt(1700) + sqrt(1700) + sqrt(1700))*-1.\nAnswer: -40*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2039184 and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.15 and 12.4418363.\nAnswer: 12.5918363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24632059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38130264 and 350892.\nAnswer: 114390792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 0.4, 3\/7, -4\/5, 24, 86, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or 133107.8?\nAnswer: 133107.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 92437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 162 + -63. Let t = l - 100. Let m(j) = -10*j + 2. Let y be m(t). Solve -y = -g + 2*b, -2*g + 0*b = -b - 9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 26.03. Let m be (-18)\/(-7) - 27\/(-63). Suppose 0 = -0*k - 3*k - m, v = -5*k - 6. Which is the closest to -0.1? (a) v (b) u (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -3\/5, -1\/3, -2\/7, 1\/5, 9\/2.\nAnswer: -3\/5, -1\/3, -2\/7, 1\/5, 9\/2, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 201\/1358 + -1\/194. What is the third biggest value in u, -2, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 - i**2 + 4*i. Suppose 5*h = -3*c + 19, c - 27 = 2*c - 5*h. Let r(y) = 2*y**3 - y**2 + 5*y. Calculate c*r(q) + 3*g(q).\nAnswer: 2*q**3 - q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 take away 4155?\nAnswer: -4115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 30*i**2 - 24*i + 171. Let v be r(-29). Solve v*z - 31*z = 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -12. Suppose -l*t + 4*t = -2. Let f be (-1)\/(-6) - t\/(-12). Solve f = -5*h + h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2069022892.\nAnswer: 2, 3823, 135301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/79114625 and -7\/16926850?\nAnswer: 3639272750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 352424625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 2. Let s(m) be the third derivative of -m**4\/12 - m**3\/3 - 4*m**2. What is 3*s(z) + 4*x(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h**4 - 5*h**4 - 4*h**4)*(1 - 4*h - 3*h - h + 7*h).\nAnswer: 17*h**5 - 17*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 536 + 112. What is the greatest common divisor of 60 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*f**3 + 0 + (-3*f**3 - 21*f**3 + 11*f**3)*(36 + 10 - 27).\nAnswer: -249*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, -0.2, -7, -0.12?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 2*r - 11006 - 1006, -15 = 5*r. What are the prime factors of w?\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67219291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 (base 15) in base 14?\nAnswer: -14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(384)*-1)\/sqrt(8))\/(2*sqrt(576) + sqrt(576)))\/((-3*sqrt(240)\/sqrt(4))\/sqrt(10)*-2) + 4.\nAnswer: -sqrt(2)\/216 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -316 - 12*v**2 + 316 - 5*v**3 + 250*v - 249*v in the form n*v + f*v**2 + a + b*v**3 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -9, 1 in increasing order.\nAnswer: -9, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 + -6)\/(1\/3). Suppose -4*r + 4 = 2*z, 11 = 3*z - 2*r + j*r. What is the smallest common multiple of 6 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005571 to 4 dps.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {j: 7, t: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-6)\/(-30)*5)\/(13*(-14)\/(-273)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241537, -483071, -724605, -966139, -1207673, -1449207?\nAnswer: -1690741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.484089l in millilitres?\nAnswer: 1484.089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*r - r - 4*r)*(4 - 1 - 5) + 2*r - r + 0*r - 3*r + 4*r - 3*r as n*r + w and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.15 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m - 4. Let o be g(-3). Suppose -15 = -o*h - h. Find the second derivative of -y - 4*y**2 - h*y**3 + 4*y**2 + 6*y wrt y.\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpgh when four letters picked without replacement from {g: 2, p: 5, h: 3}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + 7 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Let b(w) = -4 + 3*w + 5 + w - 2. Let p be b(-1). Put 4, z, p in decreasing order.\nAnswer: 4, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130 + 133. Let d be (14 + 0)*6\/7. Suppose -3*v + 6*v - d = 0. Solve k*s = 2*g + 5, s - 25 = -v*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -489 + 493. Suppose -4 = 3*y + 8, -5*s - 16 = p*y. Factor s - 5\/2*v**2 + 10*v.\nAnswer: -5*v*(v - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -14*r**3 - 13*r**2 - 6*r + 8. Let g(m) = 26*m**3 + 27*m**2 + 11*m - 15. Determine 6*g(j) + 11*k(j).\nAnswer: 2*j**3 + 19*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8430404.2 minus -0.452?\nAnswer: 8430404.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, z: 2}. What is prob of picking 4 a?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) 4 (c) 363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 - 4*g**3 - 2*g**3)*(-4*g + g + g) - g**2 + g**2 - 2*g**4 - 5*g**4 + 0*g**4 + 0*g**4.\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 25 + 88*z**3 + 78*z**3 - 164*z**3 - 2*z**2.\nAnswer: 2*z**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*1 + 5 + 2*sqrt(19) + -5 + (-2*sqrt(190)*2 - sqrt(190))\/sqrt(10))*-6.\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 <= 1328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k + 3. Let x be (-1 - k)\/(4 - 6). Suppose x*f + 9 = f. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.79 + 0.41. Let d be (-12)\/42*(-7)\/8. Sort 0, d, q in increasing order.\nAnswer: 0, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w**4 - 2*w**4 + 8*w**4)*(1300 + 291 - 279 + 122 + 1280).\nAnswer: 40710*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 746 divide 776198826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*(5 + 828\/(-90))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 684 + -308. What is the highest common factor of 64 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**8\/420 + 284*o**7\/525 + 4897*o**6\/150 - 3408*o**5\/25 + 864*o**4\/5 + o**2 - 48. Find y such that k(y) = 0.\nAnswer: -72, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -345 + 332. Which is the second biggest value? (a) -4\/15 (b) -0.01 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -8. Let w(t) = 2*t**2 + 10*t + 6. What is the units digit of w(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 y when four letters picked without replacement from yyyfyyjyfcfccffyf?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 + 145. Suppose i = 4*y - 5*x, 3*y - 3*x = -x + 14. Let o(w) = w**3 - 2*w**2 + 4*w - w**2 - 4*w**2. Give o(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 228 = 2*f, 2*f - 3*k = 2*k + 224. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5626 = 5*u, 0 = -3*m + 3*u + 4119 + 99. Is 27 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(-4*sqrt(11)*-1))\/((sqrt(1200) + (sqrt(1200) - (-1*sqrt(1200) + sqrt(1200)) - sqrt(1200)))*-1) + 2.\nAnswer: -sqrt(2)\/40 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**4 - b**3 - 26*b**2 - 26*b - 6. Let x(i) = 55*i**4 - 10*i**3 - 285*i**2 - 285*i - 65. Let q(p) = -65*f(p) + 6*x(p). Solve q(w) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141359 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6372 and 708?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 + -676)*8\/(-16).\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 9*n**2 - 8*n - 3. Let k be q(6). Let l(t) = -233*t - 66. Let z be l(-4). Let g = z - k. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5880 equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7833660811.6 from 0.5.\nAnswer: -7833660811.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02 and -1377.\nAnswer: -1376.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/42)\/((-4)\/(-22) + 1245\/(-6545))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 21. Suppose -3*h + 5 + 1 = 0, a = k - h. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 2. Let d = -10 - -14. Let l be 4\/(-12)*(0 - -9). Let u(o) = -o + 2. Calculate d*u(b) + l*j(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((14 - 8) + 2 + -2 + -6 - 50)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -9*w. Suppose -v = 4*c - 108, w = c + 5*v - 3*v - 34. Let j = c - 7. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*sqrt(65)\/(sqrt(25)\/(sqrt(5) + sqrt(5) + sqrt(125) + sqrt(5))).\nAnswer: -32*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1323220.\nAnswer: 2, 5, 66161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, x: 4, h: 3, u: 1}. Give prob of picking 1 h and 1 x.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m - 25. Let i be n(11). Let w = 86 + i. Solve 10*a = 12*a + w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {s: 7, b: 1, v: 7, e: 1, g: 3}.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.154 - 0.154. Which is the fourth biggest value? (a) -2\/3 (b) 4\/7 (c) -2\/9 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -246.\nAnswer: -5\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/891 and -37\/5427?\nAnswer: 59697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12836.01*-0.1\nAnswer: -1283.601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (80 - -82 - 157) + 27 + -1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22748129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-25)\/(-10)))\/(7\/7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/12*24*(-5 - -1). Let z be ((-36)\/16)\/(12\/a). Suppose -25 = -5*o - 5*v, -3*v + v + 10 = -5*o. Solve -2*n - 2*i = z, -5*n - 3*i = -o*i + 26 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*3)\/(120\/20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3437 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/17, 0.2, 0, -1675, 0.3 in ascending order.\nAnswer: -1675, -1\/17, 0, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1549990746.\nAnswer: 2, 3, 23, 467, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1081 - -3335554.\nAnswer: 3335554.1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6846, 6845, 6844, 6843, 6842?\n\"Answer: -v + 6847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/7 + 7670*b**3\/7 - 15362*b**2\/7 - 53726*b\/7 - 30696\/7 = 0. Calculate b.\nAnswer: -3837, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39b98 + 1?\nAnswer: -39b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -1\/60*n**5 + n**2 - 1\/16*n**4 + 0*n**3 + 0 + 56*n. Factor y(o).\nAnswer: -o*(2*o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j - 14. Let n be c(0). What are the prime factors of ((-598)\/(-4))\/(n\/(-28))?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2088.455mg in grams?\nAnswer: 2.088455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 1248?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 7:50 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1351*g**3 - 626*g**3 + 258*g**3.\nAnswer: -1719*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -32) + (-1 - (2 - 4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 28\/29?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -664 + 636.1. Let i = -24 - z. Let t = -4.13 + i. Round t to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 2530 - 890. Solve -36*r = -y + 128 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -523*d**2*q*t**2 + 105*d**2*q*t + 2*d*q*t**2 + 94*q*t wrt t.\nAnswer: -1046*d**2*q + 4*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + -2 + (-2 - -24) - (1 + -2 + -21).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9793513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 76 = -6*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453336.2 litres to millilitres.\nAnswer: 453336200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 244 + -233. Suppose -23 + r = -6*z. Calculate the lowest common multiple of z and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 115933966 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 30, 0.07, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*d**2 + 27651*d**3 + 2*d**4 + 2 - 22*d**2 + 650*d - 27649*d**3 - 104*d in the form a + y*d**3 + v*d**4 + n*d + p*d**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.08 (b) -0.1 (c) -0.3 (d) 348 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2 - 8*k = 0 for k.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 3:11 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 852 = 2399. Let v = -158 + m. Let x be (12\/(-10))\/(v\/(-420)). What is the highest common divisor of 24 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 2*b + 2. Let a be y(2). Suppose -3*t = a*t - 30. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.082? (a) -5\/19 (b) 6 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 8*x - 1. Let m(y) = -25*y + 1. Let k = 29 - 30. Let q be m(k). Suppose 4 = -2*n - 4*p, -2*n - q = n - 4*p. Determine v(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(825) + sqrt(825)*1) - sqrt(825)) + sqrt(825))\/(sqrt(192)*1).\nAnswer: -15*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*m - 4*x - 21485 = 78*m, 4*m = 2*x + 17182. Calculate the greatest common divisor of 106 and m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + de?\nAnswer: db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18951 is divided by 902.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -22. Let p = r + 26. Solve 28 = 2*v - p*s, s + 17 = -2*v - 4*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -31*p. Let o(h) = -551*h**2 - 5*h. Calculate o(y(z)).\nAnswer: -529511*z**2 + 155*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14539269.\nAnswer: 3, 193, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*q - 3*s + 104, -4*q = -2050*s + 2049*s - 46 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.0458 - -3.1458. Sort 10\/3, j, 9, -1\/2 in increasing order.\nAnswer: -1\/2, j, 10\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y + 3. Suppose 0 = -k - 5*d - 0*d + 4, 5*d - 7 = 2*k. What is the remainder when v(-3) is divided by (0 - k)\/(2\/22)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12122 - 1221002220?\nAnswer: -1220220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 5:29 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 14*s + 3. Let t be o(14). Suppose 5*l - 5*z - 70 = 0, t*z = -3*l + 5*z + 39. Solve -j + l = -4*c, -19 + 6 = 5*c - 2*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1154*q + 75118 = -3799*q - 43907 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 77 = 3*l, -4*f - 11 + 94 = 3*l. Suppose -2*x + 29 = l. Find b such that -3\/7*b**x + 0 + 0*b = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/2224 or -1?\nAnswer: 3\/2224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/4 - 379*n**2 = 0. Calculate n.\nAnswer: 0, 1516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - -3 - (-109 - -115)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -335, -520, -679, -806?\nAnswer: -895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5659*h + 28290. Determine j(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 62 + 215 = 0. Calculate the highest common factor of 17 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 12978 = -18362. Calculate the remainder when j is divided by 87.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-96)\/((-48)\/(-8)))\/(156\/(-72)*-6)).\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x - x - 8 + 11*x to r + d*x and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((70\/49)\/(6\/(-14)))\/((-9)\/54)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 3*c + 87, -799*f + 857*f - 256 = -c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + 61 + 0 + 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*a - 17. Suppose 2*g + a*z - 14 = 0, -3*g = -2*z + z - 55. Let d = g - -14. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 (base 11) in base 7?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 - 2*b**2 - 2*b + 75. Let k be q(0). Suppose t - k = -10. Sort -1, -4, 1, t in descending order.\nAnswer: t, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-15))\/((-1)\/6). Let v(b) be the third derivative of b**6\/120 + b**5\/20 - b**4\/6 - b**3\/3 + 191*b**2. What is v(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2605218827?\nAnswer: 31, 2689, 31253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 0.15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -69*b + 146. Give h(10).\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5597, -44478, -149937, -355262, -693741, -1198662, -1903313, -2840982?\n\"Answer: -5548*s**3 - s**2 - 42*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 46?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eppyipy. What is prob of sequence pep?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4*n\/(n\/n**(-1\/3)*n))**15 assuming n is positive.\nAnswer: n**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 12*i - 77 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -73*y**3 + 3*y**2 - 7*y + 3. Let l(f) = f**3 - f**2 + f. Let g(h) = -5*l(h) - s(h). Is g(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 3:28 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -534 + 538. Solve 2*j - y*g - 4 = 0, 0*g = g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/2137 and 8\/471.\nAnswer: 1006527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1113 - -897220092\nAnswer: 897218979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*b - 6. Let u = 13 + -8. Let i(n) = u*n - 2 - 4*n + 1. Let j(q) = q**3 - 12*q + 11. Determine b*j(z) + 22*i(z).\nAnswer: 2*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 34*r - 31*r + 2, 30 = -5*l + 5*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**(-4))\/l*l)\/l*l)\/(l*(l\/(l\/(l\/l**(4\/7))))\/l))\/(l**(-6)\/l**(1\/8)) assuming l is positive.\nAnswer: l**(599\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1323*q - 621716 - 530919 = -13456*q for q.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 365 = -2*v - j, -v - 3*j = -94. What are the prime factors of v?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 119, 123, 129, 137?\n\"Answer: o**2 + o + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from {m: 2, b: 2, o: 1, a: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 + 745475*q**2 + 1490965*q + 745485 = 0. Calculate q.\nAnswer: -1, 149097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -435311, -434274, -432535, -430088, -426927, -423046, -418439?\n\"Answer: w**3 + 345*w**2 - 5*w - 435652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17001888 and 685560?\nAnswer: 85009440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, y: 3, n: 4, x: 3, j: 5}. Give prob of picking 1 n, 1 q, and 2 x.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*c + h, 0 = -5*c - 4*h + h + 7. Let d(g) = 2*g - 2. Let s be d(c). Suppose s*y - 3*y = 5. Round y to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j - 52. Let q be s(22). Suppose 0 = 3*a - 5*a + q. What is the least common multiple of 5 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -16. Let p be 28\/n*-1*-30. Does 14 divide p\/3*36\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**2 + 0 + 0)*(-3 + 0 + 2) - 2 - 6*f**2 + 2 - f**2 - 1 - 5 + 1 + f + (-f**2 + 0*f + 0*f)*(-1 + 1 - 3) to d + i*f + b*f**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 v when four letters picked without replacement from {s: 4, p: 2, v: 4, m: 9}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -16*o**3\/3 + 116*o**2\/3 - 272*o\/3 + 208\/3 = 0.\nAnswer: 2, 13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485 is divided by 83?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12440? (a) -5 (b) 19 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + -717?\nAnswer: -725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*y + 4, -5*f + y - 1 + 6 = 0. Let t = 3 + f. Suppose t - 41 = -3*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(112) + ((sqrt(112)*-4 + sqrt(112))*-5 - sqrt(112)) + ((1 + sqrt(112))*6 - (1 + sqrt(112) + 2)))**2.\nAnswer: 640*sqrt(7) + 44816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3398 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3\/3 + 10*b**2\/3 - 4*b = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*y + 307 = 0, 4*w - y = y + 242. Calculate the remainder when w is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/18866823?\nAnswer: 8\/18866823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 117809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 809561.6 and 0.4.\nAnswer: 323824.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 7*b - 11. Let r(i) = -i**3 - 4*i**2 - 3*i - 4. Let v be r(-4). Let t be p(v). What is the second biggest value in -0.2, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {s: 1, k: 3, c: 4, o: 1, q: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, j: 5}. Give prob of sequence ju.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 42*s + 5940. Let n be t(-140). Suppose 0*p - 3*p + 135 = 0. Calculate the greatest common divisor of p and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -26. Is -1 + w - (6 + -222) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/90*5*10\/5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1077*d - 1082*d - 2*u = -496363, 4*u = -4*d + 397100. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28255 + 28258. Let b = -10 + 9. What is the closest to b in 0, -0.1, c, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3*g = -2*g - 2, 4*g = -l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 2*z**2 - 2*z - 4. Let g be r(3). Let o be ((-6 - -2)\/(-4))\/g. Which is bigger: o or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10447956 is divided by 5062.\nAnswer: 5050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-500)\/5200*(-8)\/20)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.55 and 6.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h + 15*h = 5*h. Which is the nearest to 0.1? (a) h (b) -3 (c) 2\/11 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 23349548.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 287.\nAnswer: 10\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022110 (base 3) in base 7?\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**3\/2 + 3*v**2\/2 + 4*v - 3. Let x(u) be the first derivative of d(u). Differentiate x(j) wrt j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 819680 and 52320?\nAnswer: 2459040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((3800\/16)\/25)\/(2\/56) is divided by 241.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 51634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.87 and -230.39?\nAnswer: 221.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 398580043*n**2 + 1360295339.\nAnswer: 797160086*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -886279, -886286, -886293, -886300, -886307?\n\"Answer: -7*t - 886272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709553 - 2128654 + 709549 + 709552 + 17*w.\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2330837631?\nAnswer: 3, 2371, 109229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15289*i**6*v + 710*i**5*v - i**2*v - i*v - 18966*v + 8 wrt i?\nAnswer: -1834680*i**3*v + 42600*i**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*l - 30518 = -6*s, -s + 6*l + 6090 = 0. What is the thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552691841.\nAnswer: 13, 42514757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcfcrrcc. What is prob of sequence rfc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -208.20268, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -54869 and 3804123.151?\nAnswer: 3858992.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 11 = -4*j, -5*h - 1 = 7*j - 6*j. Solve -4*f = -0 - j, 3*u + 5*f = -4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 136 - 397 - 130 = 0 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 233, 428, 725, 1160, 1769, 2588?\nAnswer: 3653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2076 or 2100?\nAnswer: 2076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2823362473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2. Let b(i) = 164 + 4*i**2 - 358 + 190. Determine c(b(t)).\nAnswer: 32*t**4 - 64*t**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 113724 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8\/31, -1\/3, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31882 is divided by 499?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 32. Find the third derivative of -14*s**3 + 14*s**3 + 23*s**m + 12*s**4 wrt s.\nAnswer: 288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 539 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 906 is divided by (-5)\/2*(24 + -16)\/(30\/(-27))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69927 = -1567*n + 868*n - 1094*n for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 17. Suppose -3*w - 18 + 42 = 0. Which is the smallest value? (a) w (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = i, -2 = -i + 8*u - 5*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/105544 and -49\/6?\nAnswer: 316632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 0 + 13 + -27 - (-1 - -12)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-5)*(-14)\/(-147)*3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637244 is divided by 52910?\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52851283?\nAnswer: 17, 163, 19073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16832*t - 17924*t - 33852 = 0 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*g + 311*g = -14*i - 13, -3*i + 19 = 5*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 - 546*y - 7570. What is i(-15)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1103964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4 + 12. Suppose 0 = -49*m + m + 384. What is the highest common divisor of q and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18608 + -2786. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aagaaaaaggaaggaaagg?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5545614.\nAnswer: 2, 3, 924269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**3 - 299*i**2 - 18*i. Let j(h) = -2*h. What is -9*j(t) + u(t)?\nAnswer: -3*t**3 - 299*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w. Let p(c) = 19 - 9 - 3*c + 0 - 8 - 6. What is p(m(u))?\nAnswer: 9*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezz when three letters picked without replacement from {z: 5, e: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11208 - -89373\/8. Let z = -523\/16 - s. What is the common denominator of 5\/8 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-9))\/((-2551388)\/425229 + 6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**4 - 27410*g**3 - 54860*g**2 + 109640*g + 219360 = 0?\nAnswer: -2, 2, 5484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6471 + -6467. Let o = 0 + 1. Let m be o\/6*(2 - 0). Put m, 3\/5, 1.9, q in descending order.\nAnswer: q, 1.9, 3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**6\/120 - u**4\/4 - u**3\/6 - 7*u**2. Let z(r) = r**3 - 5*r - 1. Determine 5*j(g) - 6*z(g).\nAnswer: -g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*z - z + 311 = 0, -3*z = -a + 142. What are the prime factors of a?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447.331403 rounded to 0 dps?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2303800 to the nearest ten thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48.788 + 2366.312. What is t rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1652?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2066 + 2172?\nAnswer: 4248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12503*g**3 - 12501*g**3 + 41*g - 41*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020704 to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6938, 13880, 20824, 27770, 34718, 41668?\nAnswer: 48620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - (-49 + 97)) + (-1 - (1 - 70))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3847 (b) -2 (c) 2\/13 (d) -0.1 (e) -18\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(8)\/(sqrt(16)\/sqrt(4)) + (sqrt(2) + 3)*-3)**2 - (1 + sqrt(4)\/((-2*sqrt(14))\/sqrt(7)) + 3).\nAnswer: -182 - 143*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvs when three letters picked without replacement from {g: 2, i: 1, o: 1, w: 1, v: 2, s: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 66087707 less than 0.1?\nAnswer: -66087706.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21201 (base 3) to base 9\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*-1)\/(4\/6). What is the units digit of 1\/(3\/(-27)*v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/2)\/(126\/14811). Let c = a + -237\/2. Let z = 433\/168 + c. Find the common denominator of -20\/9 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 2. Let d(q) = -q - h*q + 6*q. Let g(x) be the third derivative of x**4\/24 + 20*x**2. What is d(g(b))?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2, 5*l - 4*i = 171 + 317. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-288)*(-2299932)\/(-2203).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 z when three letters picked without replacement from {f: 9, z: 3}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -7 - (0 - -2)) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j**(2\/39)\/j)\/j)\/j)**6*(j\/(j**46\/j))**(3\/20) assuming j is positive.\nAnswer: j**(-1189\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -1516.\nAnswer: 151.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 - 75*i**2 - 3*i. Let l(n) = 3*n**3 - 148*n**2 - 5*n. What is -5*d(b) + 3*l(b)?\nAnswer: -b**3 - 69*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - p**2 + p**4)*(248*p - 6 - 493*p + 248*p).\nAnswer: 3*p**5 - 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 8, -4\/3, -0.4, 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68.94 - -69. Let v = -0.26 + f. Which is the second smallest value? (a) v (b) 0 (c) 18 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 34*l - 31. Let h be w(1). Solve -h*m - 4 = -4*j - m, 5*m + 20 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13433.\nAnswer: 7, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -726662814068 - 0?\nAnswer: -726662814068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1860.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1731962536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2382371.\nAnswer: 2382371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 6*w**2 + 52*w + 416. Let x be g(-7). Let j(n) be the first derivative of -5\/9*n**2 + 2\/27*n**x + 8\/9*n + 4. Factor j(q).\nAnswer: 2*(q - 4)*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(5\/2))**(4\/19) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 17. Factor -4*b**d + 22*b - 6*b - 12 + 0*b.\nAnswer: -4*(b - 3)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 1:53 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g*h**4 + 27*g*h**3 + g*h - 4*h**4 + 3*h**3 - h**2 + 708*h - 7 wrt h?\nAnswer: -120*g*h + 162*g - 96*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 7. Let p be g(-12). Solve p*q = -9 - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**16\/z)\/(z\/z**9) assuming z is positive.\nAnswer: z**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.6 + 33. What is the third smallest value in b, -2\/9, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -401 divided by -23.\nAnswer: 401\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -143*a. Let g(i) = -9*i**2 - 36*i + 9. Let j(h) = h**2 - 4*h + 1. Let w(u) = g(u) - 9*j(u). Determine w(n(o)).\nAnswer: -368082*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 161, -1, 1\/6, 21, 0.3, -2\/7, -0.08?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 16*y**2 - 8652*y - 70237. Calculate t(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5\/4 + 129152*w**4 - 2066421*w**3\/4 + 1291511*w**2\/2 - 258302*w = 0.\nAnswer: 0, 1, 2, 516604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1936 and 85\/14432.\nAnswer: 158752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -1401*g + 16799. Give o(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5917 and 0.0282.\nAnswer: -166.8594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/7898 and -15\/12122.\nAnswer: 4351798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-260)\/(-250)*5*(-2)\/(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -16572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4811 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0 + 1. Let q = 1230 - 1225. Let v = -0.1 + 0.3. What is the nearest to -2 in v, t, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/623 and 38\/1169.\nAnswer: 104041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (14 - (24 - 14)) - 45.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4 = f, 3*j - 6*f + 2*f - 19 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.11?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-185)\/(-44) + (-32 - -28). Let k = 133\/220 - u. Which is greater: k or 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/144 and -97\/62695062.\nAnswer: 501560496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38, -69, -92, -101, -90?\n\"Answer: m**3 - 2*m**2 - 32*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-62)\/279*(-11)\/((-1430)\/(-12)).\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/1633, 4\/5, -331 in ascending order.\nAnswer: -331, 2\/1633, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + o**2 + 3*o - 1. Let z be k(4). Let b = -9 - z. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1307 + 120*m**2 - 1307.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1136828 divided by 568414.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.56, 14\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + 2 + 51 + -39 + -3 + -6 + -10.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put 138.6, 73, -3, 21 in descending order.\nAnswer: 138.6, 73, 21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/11)\/((t**(4\/9)*t*t)\/t))\/((t**(-6)\/t)\/t*t\/(t\/t**(-2\/7)))*((t*t\/(t*t\/t**0))**29)**(-33) assuming t is positive.\nAnswer: t**(4804\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 351*q - 1404. Determine m(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-1)\/(-2)*3. Let v = y + 8. Solve 3*k + 10 + v = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/((-1260)\/483) - 56\/4?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 16, d: 4}. Give prob of picking 2 e and 1 d.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.88? (a) 2\/13 (b) 5 (c) -2\/15937\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 91*i + 4. Suppose -y + 3*u = -0*y, 0 = -2*y + 3*u. Suppose -4*z + 10*z - 6 = y. What are the prime factors of q(z)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = -3*w + 81, 91 = -3*w - d + 92 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -46*z + 1808. Let t be u(33). Let a = -168 + 284. What is the greatest common factor of a and t?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -780, 8, -7, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 654979, 1309923, 1964873, 2619823, 3274767, 3929699, 4584613, 5239503?\nAnswer: 5894363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10.4047, 2, 1\/2, -2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 1, o: 2}. What is prob of picking 1 k and 1 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/(-5) + 43 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1489 and 319316050?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-3)*-7*(-27)\/(-4788)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4806 and 10?\nAnswer: 24030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 5)*(-w**5 + 0*w**3 + 0*w**3) - 17*w**5 - 88*w**3 + 88*w**3 - 899 + 899 - 45*w**5.\nAnswer: -65*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = -13. Let k = y + -24. Does 22 divide (-174)\/(-8) + k\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**7\/315 - p**6\/180 - p**5\/30 + p**4\/36 + 2*p**3\/9 - 2*p**2. Factor r(a).\nAnswer: 2*(a - 2)*(a - 1)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, -4\/21, 0 in ascending order.\nAnswer: -4, -4\/21, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 25 = n, 0*n + 4*n = -20. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2. Let m(d) = 77087471*d. What is m(h(o))?\nAnswer: -77087471*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10666 + -8232. Suppose 0 = 4*o + 2*n + 4403 - 11261, 5*o = -2*n + 8571. Let m = g - o. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 14) + (29 - (21 + -9)) + 0 + 92.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5266518 to the nearest integer?\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 y when three letters picked without replacement from cyccgcyygccygycc?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**7\/30 - m**5\/10 + m**2\/2 - 2*m. Let c(n) be the first derivative of i(n). Find the third derivative of c(k) wrt k.\nAnswer: 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210470401 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5.4. Let f = 1 + -1.4. Which is the third smallest value? (a) f (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55.2 - -1.8. Let w = l + -57.021. What is w rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134023 (base 5) in base 13?\nAnswer: 2681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - a - 2 = 0, -5*c + 83212*a - 83211*a - 2 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 71?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 29.9203023+2135.5\nAnswer: 2165.4203023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n - 1. Let h(a) be the second derivative of 0*a**2 - 1\/2*a**3 + 0 + 74*a. What is v(h(k))?\nAnswer: 12*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(17)*-2 + (2*sqrt(153))\/sqrt(9).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k = 49*k - 38. Solve i + k*i - 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 6\/(-4) + -2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 19*q**5\/60 - 5*q**4\/24 - 74*q**2. Let j(u) = -u. Let f(a) = -5*j(a) + v(a). Let x(l) = -4*l. Calculate x(f(y)).\nAnswer: -76*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 15, t: 3}. Give prob of sequence lttt.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 3c038?\nAnswer: -3c03d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -298907\/27 - -11069. Find the common denominator of 89\/165 and j.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 - 38 - (1 + 1 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 1:33 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 7:48 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*r - 100. Suppose -2*n = -3*y - 4*n + 19, -5*n - r = 0. Suppose d + 4 = y. Sort 3, -44, d.\nAnswer: -44, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3289\/121 + 1 - 2. Is 25 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37938 + -37945. Let z be 14\/4 + 4\/(-8). Suppose 0 = -4*y - z*g + 11, 3*y = 3*g + 3 - 0. Which is the second biggest value? (a) y (b) 1\/6 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 62954779269221 and 1.\nAnswer: 62954779269222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-14)\/((-280)\/10)*-4*(-17)\/272)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.26 and 0.058.\nAnswer: 0.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 786 and 12273783?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0675 * -21223.\nAnswer: 1432.5525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79128.\nAnswer: 2, 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, f: 6, u: 2, x: 1}. What is prob of picking 1 k and 2 f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -868, -2891, -6218, -10855, -16808, -24083, -32686?\n\"Answer: -g**3 - 646*g**2 - 78*g - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 9*g - 6. Let c be j(-9). Let k(n) = n**3 + 6*n**2 - n - 5. Let u be k(c). What is the derivative of -3*q**3 + 2*q**3 - u + 4 + 0 wrt q?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 399, 808, 1219, 1632, 2047?\nAnswer: 2464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-7))\/((-12)\/(-42)) + 67. Let i = n - -162. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 108803003 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1331, -1314, -1295, -1274, -1251, -1226?\nAnswer: -1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2402*r - 941607. Calculate y(-392).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7803 + -7802.1. Suppose 5 = 2*q - 7*q - g, 15 = -2*q - 3*g. What is the nearest to a in -0.5, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + (-21)\/12)\/(18\/96). Let g be 2\/s - (-290250)\/324. What is the highest common divisor of 28 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/5 + 5214*q\/5 + 5213\/5.\nAnswer: (q + 1)*(q + 5213)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28342 divided by -5?\nAnswer: 28342\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, z: 1, j: 3, c: 2}. Give prob of picking 1 c and 1 n.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 236*h + 9. Let o(m) = 18881*m + 717. Calculate -6*o(d) + 478*z(d).\nAnswer: -478*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.5 and 0.0072?\nAnswer: 0.1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -20*z. Let p(x) = -37*x. Determine 222*c(l) - 2*p(l).\nAnswer: -4366*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23083*u - 366*u - 1017*u - 106792*u.\nAnswer: -131258*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(4 - 38\/8) - -3. Suppose 5*y + 4*x - 1 = -5, y - 4*x = 4. Solve o + n - 1 = y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-21)\/i*i**(1\/3)*i)**43)**44 assuming i is positive.\nAnswer: i**(-117304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34241566 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 10. Let j be ((0 - -3) + 0)\/i. Solve -3*a = 3*v - 1 - 2, -j*a + 4*v = 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240 (base 13) to base 14.\nAnswer: -1dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 5*n**3\/2 - 16*n**2 + 23*n - 1. Is 5 a factor of x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 17*x**3 + 23*x**3 - 14*x**3 as f*x**3 + s + c*x**2 + b*x and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 23*m - 3. Let s be a(5). Let v(k) = 7*k + 48. Let x be v(-7). List the prime factors of -1*(x + s)\/(-1).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-12) + 13\/((-52)\/(-24)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -112*z**3 - 4*z - 3. Let f(d) = d**3 - 2*d - 2. What is 2*f(t) - m(t)?\nAnswer: 114*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3.8603*4720\nAnswer: -18220.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 2) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4586836484.\nAnswer: 2, 1613, 710917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 419*h - 2245. What is p(5)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 s when three letters picked without replacement from yyyysyysyyyy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23564?\nAnswer: 2, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 59351142 to the power of 1\/3, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -360*a*m**5 - a*m**4 + 15366*a*m**2 + 2*m**3 wrt m.\nAnswer: -21600*a*m**2 - 24*a*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25800 is divided by 12879?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 52608*d**2 + 171492672*d - 9769270784.\nAnswer: 4*(d - 56)*(d + 6604)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 292, 1223, 2824, 5137, 8204, 12067, 16768?\n\"Answer: 7*s**3 + 293*s**2 + 3*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -324*q**3 - 201029184*q**2 - 89346256*q - 9927360.\nAnswer: -4*(q + 620460)*(9*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21315*g*i*s**2 - 2*g*s**2 - 3103*g - 2418*i - 33693*s**2 wrt g.\nAnswer: -21315*i*s**2 - 2*s**2 - 3103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 29 = -7*a + 3*a, 0 = 4*a + 5*b - 5. Suppose -6*r + r = -a. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -424 + 544. Solve 0 = -4*n - 128 + k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -236 + 240. Suppose -45*y + v = -41*y. Solve 5 - y = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8969 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -16. Let l = 145 - s. Let c = -64 + l. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 147.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4 - 30*u + 16*u + 13*u. What is v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9798, -1.83, -2\/11?\nAnswer: -1.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215223716 by -158954.\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -142. Let z = o - -4. Let l = z + 121. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -59.02 (b) 5 (c) 2\/15 (d) -111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*v - 128 = 45*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 34\/7*d**2 - 3 - 1\/21*d**4 - 32\/21*d**3 - 39*d. Factor p(k).\nAnswer: -4*(k - 1)*(k + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 833.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 + 4*y**2 + 2*y - 4. Let s(i) = -3*i**3 + 4*i**2 + 2*i - 5. Suppose -5*a - 16 = 9. Let p(d) = a*k(d) + 4*s(d). What is n in p(n) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -191, -204, -217, -230?\n\"Answer: -13*t - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -j + 8. Let r = -17 + 41. Let k = r + j. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0540822 * -0.4.\nAnswer: -0.02163288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -105 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*i - 90 = 114*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - -3. Suppose 4*h + 4*x = 0, -2*x + 16 = 5*h - x. Suppose 3*o - h*o = 0. Solve 2*a - l = -4*n - o*n, -n + 14 = 2*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -4 (c) -3\/4 (d) 20.535\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2502275 divided by -174.\nAnswer: 2502275\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 200 + -200. Put 11, 2, h in decreasing order.\nAnswer: 11, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -99*i + 386. Let y be f(17). List the prime factors of 8 + -4 - (-4 + y).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 30\/97, -4, 4, 2 in descending order.\nAnswer: 5, 4, 2, 30\/97, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 13*o + 14, -123*k = -118*k - 85 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 9:43 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.61 - 14.91. Which is the nearest to -1? (a) -8\/3 (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -t - 3*f - 1, 4*f = t + 7. Let p(c) = -2*c - 3. Let z be p(-3). Which is smaller: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10124782*c**3 + 13964171*c**2 wrt c?\nAnswer: -60748692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80 + 83. Suppose 4*h + 2*o + 1122 = 222, 0 = h + j*o + 220. Let u = h - -384. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 17*y + 18*y = -7, -2 = -2*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 45. Let p = 563 - 1685\/3. Which is the biggest value? (a) u (b) -0.25 (c) -0.5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from titatatatai. What is prob of picking 2 i and 2 t?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 21*w + 39. Let t be p(19). List the prime factors of t\/(-2)*-4*(-338)\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -3. Let j be (r\/(-10))\/((-1)\/20). What are the prime factors of (45\/j + -3)*56?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -23. Calculate the greatest common factor of b and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*z + 40*z + 12. Suppose 0 = -z*d - 2*d. Suppose d = -3*w - 51 + 429. Is w a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 + 96. Factor 0*s**d + 0*s**2 - 2\/9*s**5 + 0 + 4\/9*s**3 - 2\/9*s.\nAnswer: -2*s*(s - 1)**2*(s + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 411, 1384, 2923, 5028?\n\"Answer: 283*g**2 + 124*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*i - 2*i = -14, -i - 6 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**5\/240 - 47*p**4\/96 - 25*p**3\/4 - 2282*p**2. What is z in s(z) = 0?\nAnswer: -3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22323202 (base 4) to base 15\nAnswer: d3ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -12. What is the closest to y in -8, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 164 + -160. Suppose h*g - 83 = -d + 57, 5*d - 16 = -g. What is the smallest common multiple of 6 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.2 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95243 and 5.\nAnswer: 476215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpggbp. What is prob of sequence bgbm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/4 + 577*l**4\/4 - 206285*l**3\/4 + 15099267*l**2\/4 - 7395498*l + 3672108 = 0. What is l?\nAnswer: -843, 1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*i**3 + 285*i**3 + 3907*i**3.\nAnswer: 4397*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(20\/(-16))*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2392646*q**2 + 11*q - 1120 wrt q.\nAnswer: -4785292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*q - 14*q + 35*q + 11*q**3.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*k = -2*k - 15, b + 2*k = 10. Suppose -3*c - 2*c + 140 = b. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/2, 18, 3 in increasing order.\nAnswer: -0.4, 1\/2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 22*k - 33. Calculate i(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z = 10. Suppose -z*m + 107872 = -122128. What is m rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**3 - 6 - 31*r + 3*r + 75*r - 41*r. Let p(i) = -i + 1. Let t = -9 - -16. Suppose 4*g = -2*o + 18, -o - t = -3*g + 14. Determine g*p(c) + j(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*a + 12. Suppose -a*h + 10 = 2*s - 16, 3*s = -h - 3. Suppose 3*f - h = -3. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + (14 - 12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-7 - ((-2 - 7) + 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000211552396 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 + -1010101100?\nAnswer: -1010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 + 13*p - 15. Let q be g(2). Let l(w) be the first derivative of w + 1\/2*w**4 + 2 + 0*w**q - w**2 - 1\/5*w**5. Factor l(a).\nAnswer: -(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6881.844um?\nAnswer: 0.000006881844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 112875702 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*s + o + 5, -2*o = -2*s - 8. Let d(g) = -34*g**2 - 1. Let p be d(s). Let n = p + 41. Solve -2*y = y - n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23880 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 6) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 26*a**3 - 14*a**2. Let u(h) = 5*h**2 + 2*h - 19. Let c be u(-7). Let i = 218 - c. Let f(m) = -9*m**3 + 5*m**2. Calculate i*l(j) + 17*f(j).\nAnswer: 3*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 48 (b) 5\/4 (c) -8 (d) 12 (e) -133.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -14131?\nAnswer: 14127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 35. Let s(x) = -x**2 + 18. Determine -3*f(o) - 5*s(o).\nAnswer: 2*o**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Let m(g) = -2*g + 1. What is the common denominator of m(t) and 46\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -387 - 2?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -57.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (372\/48)\/(40\/160)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53074628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {k: 3, r: 3, l: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(275))**2 + 2 + 5 + (-4*(sqrt(198) + sqrt(22)))\/(sqrt(4)\/(sqrt(8)\/sqrt(4))).\nAnswer: -16*sqrt(11) + 282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**2 - 29*t + 13. Let h(a) = -a**2 + 2. Let m(l) = 6*h(l) - w(l). What is the remainder when m(20) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*(4 + (sqrt(20)\/sqrt(40) - -4*(sqrt(8)\/sqrt(4))**2 - sqrt(12)\/(sqrt(6) + sqrt(12)\/(sqrt(2) + sqrt(8)\/sqrt(4))))).\nAnswer: -108 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 1 + b - 3*b**4 + 0*b**3 - b**3 as g*b**3 + d*b**2 + n*b**4 + r*b + k and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 16*l**2 + 27*l + 28. Let g be y(-14). What is the greatest common factor of g and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33301179523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (9\/(-156))\/((-1314)\/(-81) - 16) and 81\/4.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 4, 0 in decreasing order.\nAnswer: 4, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 8, -4 = 10*b - 7*b + h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - c**2 - c + 52. What are the prime factors of p(0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -70c8 - -5?\nAnswer: -70c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -975*s - 61866 = 498*s for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -235496 + 338895. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1337*s = 1334*s - 18 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 36. Solve 3*l = w*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 16*d**3 - 120*d**2 - 11*d - 28. Let i(o) = 3*o**3 - 24*o**2 - 2*o - 5. Let y(f) = -11*i(f) + 2*s(f). What is y(24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/11)\/(s**1\/s))\/((s**(6\/11)\/s)\/(s**(-2\/9)*s)) assuming s is positive.\nAnswer: s**(140\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -10 - 0) + -11 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/40)\/((-22)\/(-88)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 1055284.13?\nAnswer: 1055284.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 322 + -324.3. Let i = -0.105 + -2.305. Let z = r - i. Which is bigger: -6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*v + 5*j, -5*v + 0*v - 3*j = 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 24*v**2. Let w(s) = -1823142*s. Calculate f(w(c)).\nAnswer: 79772322051936*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-14)\/(-4) + -3). Sort 8, j, 5 in decreasing order.\nAnswer: 8, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 62, -2, 1, -1\/539, -7?\nAnswer: -1\/539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1417366 is divided by 708555?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 1:13 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (16 + -21 + 6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -885, -7787, -26103, -61539, -119801, -206595, -327627, -488603?\n\"Answer: -951*u**3 - u**2 - 242*u + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 152, 218, 294, 386, 500, 642, 818?\nAnswer: 1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113 + 439. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = r - 408, 5*r = -3*z + 221 + 85. What is z rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 1:46 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**14*k**3\/k)**(-2\/25))**9 assuming k is positive.\nAnswer: k**(-288\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15573?\nAnswer: 3, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -4, 182 in decreasing order.\nAnswer: 182, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(2\/15)*g*(g\/(g\/((g*g**(-2\/11))\/g*g)))\/g*(g\/(g*g*g*g**(-4)))\/g**(-7\/3) assuming g is positive.\nAnswer: g**(1037\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-six fifths of a millennium?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012019 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45120 (base 9) to base 15.\nAnswer: -8d43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03778881043 to three decimal places.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 100694370, 2, -2 in increasing order.\nAnswer: -2, 0, 2, 100694370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**4\/24 + c**3\/3 + 4*c**2. Let y be k(2). Let o = 8 - 5. Solve -y*m + z + 2*z - 3 = 0, o*z - 18 = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9385, -18863, -28341, -37819, -47297?\nAnswer: -56775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4800762673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -0.06, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o + 136 + 5200 = 0. Is o bigger than -1161\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -649583 = -35*w - 241980 + 616497. List the prime factors of w.\nAnswer: 2, 5, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 1. Let n be m(5). Let d = -9 - n. Let i(p) = p**3 + 3*p**2 - p - 3. Determine i(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 5*c**4 - 7068*c**3 - 16983*c**2 - 12742*c - 2832 = 0.\nAnswer: -1, -2\/5, 1416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/9 and (6\/(-231))\/(4 - (-1552)\/(-364))?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -383*a + 771. Let z be m(2). Suppose -85*u - 9 = -88*u. Solve z*r + 3 = u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -337022 by -2534.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -4.619526079?\nAnswer: -4.119526079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 31\/7 + 9\/(-21). Suppose -2*g + p*s = -107 - 7, -g + 57 = -4*s. What are the prime factors of g?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 430850.5 tonnes?\nAnswer: 430850500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.1, 2\/7, -3083?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Which is the third biggest value? (a) w (b) 3\/8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(57)\/sqrt(3) + -1 + 1)**2 - ((1*(sqrt(152) + -1*sqrt(152) - sqrt(152)))\/(sqrt(64)\/(sqrt(8)*1)))**2.\nAnswer: -8*sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 3\/(3\/25).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j. Let h(m) be the third derivative of -185*m**4\/24 - 137*m**2 + 1. Give a(h(n)).\nAnswer: 555*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/5 + 54*p**2 + 796*p\/5 + 528\/5 = 0. Calculate p.\nAnswer: -132, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -64?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2 - 2*c - 17. Let u = 950 - 952. Let m(p) = 13*p**2 + 7*p + 50. Calculate u*m(b) - 7*n(b).\nAnswer: 2*b**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 5*k**2 - 6*k + 9. Let x be y(4). Solve 4*v + 11 = -x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 2:11 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 4*m - 3*m**2 + m**2 + 7*m. Let l be i(8). Let a = l + 57. Solve 4*u - 3*h - a = 2*h, -h - 7 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145 and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 4*m + f = 14, -3*m + 2*f + 8 = 0. Let u(d) = -d**2 + 8*d - 3. Let t be u(m). Let p = t + -13. Put 2, p, 1 in decreasing order.\nAnswer: 2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - u**2 + 2. Let z be t(0). Suppose 1 - 3 = -k - a, -z*a = -8. Let x = -253\/3 - -84. What is the closest to k in 1\/6, x, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5 = -4. Suppose k*j + 0*j - 6 = 0. Let u(n) = n**3 + 5*n**2 + 4. Let v be u(-3). Solve 5*c = v - j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -u + 14. Sort -2, u, 3, 15 in increasing order.\nAnswer: u, -2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/48864 and 31\/11666280.\nAnswer: 46665120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.19 + -0.190025. Round f to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 11*h**2 - 23*h - 35. Let r be f(13). Solve -3*x + r*o = 20, -5*x - 5*o = 1 + 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333323 (base 4) in base 13?\nAnswer: 1b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -1453485435.\nAnswer: -1453485435.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 177677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1735, 6939, 15581, 27631, 43059, 61835, 83929?\nAnswer: 109311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + 1.1. Let u = 2 - j. What is the nearest to -1\/5 in 3\/5, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(1\/3)\/j))**(-3\/7)\/(j**(2\/5))**(-3\/11) assuming j is positive.\nAnswer: j**(-233\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, c: 1, t: 4, v: 2}. What is prob of sequence bcvv?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12))\/(76\/(-2052)) - 56.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01117244913 rounded to 4 dps?\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430 and 265138?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2159 and 5?\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-15)*-5 + -3. Let x be (12\/8)\/((-5)\/d). What is the second smallest value in x, -0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + k + 1. Let r(m) = -5*m**2 + 6*m + 8. Suppose -5*u + 7 - 2 = 0. Let t(a) = -5*a**3 - 4*a**2 + a + 2. Let y be t(u). Give y*f(v) + r(v).\nAnswer: v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 1)\/((-917)\/(-655) + (-42)\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 + 464*x**2 - 2713*x - 9. Calculate h(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/6*16\/(-12). Suppose -7 = -3*p + h. Suppose -2*o - 14 = -2*u, 0 = u + 2*u + p*o - 3. Solve 0 = -j, 5*j = -0*q + u*q + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 628729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -14*n - 13. Let c be l(-3). Let h = c + -47. Let z(k) = -12*k - 14. List the prime factors of z(h).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/832*(8\/3)\/(-2)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4 + -1*sqrt(72) - (sqrt(72)*2 + 4 + sqrt(72))))**2*-2.\nAnswer: -2322 - 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 8.999999981. Round l to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 equal to -3216787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 159, 4, 1, 3 in descending order.\nAnswer: 159, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -95. Let c = -64 + p. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-430)\/344*(22\/(-10) + 2). Factor -d*f**2 + 0 + 1\/4*f.\nAnswer: -f*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635486, -635484, -635482?\nAnswer: -635480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -834, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7525 from -34270.399764.\nAnswer: -41795.399764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 2 - -1 - 11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 216*a + 50. Let l(k) = -76*k - 17. Let x(u) = -17*l(u) - 6*m(u). Give x(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 0.7, -2, -1\/13, -26, 2\/3, 2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11276 = 7*u - 11*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.524 (b) -5 (c) -1 (d) 12 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26407270 and 0.06.\nAnswer: 26407270.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*a + 43*a = 455 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*m**3 + 26*m**3 + 19*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 34562 times -3.799\nAnswer: -131301.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50680 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 14*g**2 + 9*g. Let p(x) = -5*x**2 - 3*x. Let s(b) = 11*p(b) + 4*z(b). What is the hundreds digit of s(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.72 - 21. Let j = o - 0.82. Is 1.1 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600306208.\nAnswer: 2, 18759569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jssjsywayjjsjywjjjy. Give prob of picking 2 w and 2 y.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 14*k + 3. Suppose 7*b - 24 = 4*b. What is the units digit of t(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d. Let z(s) = -5*s + 2*s - s + 2*s. Give j(z(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 4*t + 16, 4*t - 25 = 4*h - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*n**2 + 3725*n + 830 = 0. What is n?\nAnswer: -2\/9, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.38 + -251.38. Let u = d + 247.6. Let n = -0.1 + -0.7. What is the third biggest value in u, n, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260488 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c + 0*c - 2*c + 1. Let a be t(-1). What is the units digit of (a - 0)\/(1\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 870 = -94. Is 64 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -7*g**4\/4 + g**3\/3 - 9*g**2. Let d be a(2). Let k = -35 - d. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 15 + 19 - 6 + l**2 + 6*l. Give g(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1128632093, 1128632090, 1128632085, 1128632078, 1128632069?\nAnswer: 1128632058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5424 less than or equal to -5405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Let d(m) be the first derivative of 1\/2*m**4 - m**2 + 2*m - 1 - 2\/3*m**y. Suppose d(b) = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a factor of 3945652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/1792 + -11197\/5376. Calculate the common denominator of k and 39\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1711 divide 2066290045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 3*d - d)*(2*d + 2*d - 6*d + (2*d + 2*d - d)*(-4 - 3 + 5) - 2*d - 1 + 1 - 3*d - 8*d - 5*d) to the form o + g*d + q*d**2 and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 6*n**2 - 4*n - 2. Let u be o(5). Suppose 20 = -2*c + 4*y, -2*y = 2*c - u*y + 8. What are the prime factors of (-7)\/c + 2\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2*l**2 + 323*k**2*l - k*l - 164*l**4 wrt l.\nAnswer: -2*k**2 - 1968*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/120 + (-1)\/2. Which is the smallest value? (a) w (b) -3\/25 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1\/4))\/l)**(1\/2)*l\/(l**(1\/10)\/l)*l**(15\/8))**(-1\/6) assuming l is positive.\nAnswer: l**(-73\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 71?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 286\/2 - (4 - 4). Let v(q) = -5*q - 10. Let j be v(-5). Suppose 37 = 4*c - j. What is the greatest common factor of c and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 3*s - 21 + 5, -3*s = -5*a + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.693296 decades?\nAnswer: 0.0693296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 833 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 - 2483\/195)\/((-4)\/(-6)). Let h be (2\/(-3))\/((-2)\/3). Are m and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13576 and -0.121.\nAnswer: 13575.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 27*i**2 - 19*i - 19. Suppose -4*r + 5*x = 104, -104 = 4*r - 7*x + 3*x. Is o(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + h + 3*h - h**3 - 2*h**2. Let j be c(-3). Solve -j*f = 5 - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8262, -6573, -4884, -3195, -1506, 183?\nAnswer: 1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/193 - -5956\/1737. Let o = -185106\/49 + -377003\/441. Let c = -4639 - o. Calculate the common denominator of z and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -222, -217, -216, -225, -250, -297, -372?\n\"Answer: -o**3 + 4*o**2 - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 686?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8966524 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = 326 - 286 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -508.02 or -2\/1079?\nAnswer: -2\/1079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*d - 6270 - 3181 - 1029 = 0. Calculate the lowest common multiple of d and 38.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/3, -9, -6\/5, 0.3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q + 7 - 7 + (2 + 3 - 3)*(11*q - 29*q + 10*q) as x + c*q and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/3 + 110264*w\/3 + 759884356\/3.\nAnswer: 4*(w + 13783)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sossossssss. Give prob of picking 1 o and 2 s.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28187\/340 + 61\/68. Let s = 407\/5 - b. Let n = s - -46\/15. What is the biggest value in -2, 0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + 0 + sqrt(108)) + -1)**2*-3.\nAnswer: -3504 - 1512*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12\/4*(-8)\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 469 = -4*x, -4*x - 1796 = -13*g + 9*g. Let k = 460 - g. What is the greatest common factor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 349, 359, 379, 415, 473, 559, 679, 839?\n\"Answer: j**3 - j**2 + 6*j + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.25005 to 1 dp.\nAnswer: 18.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*a - 2*l, 2*a + 6*l - 1 = 3*l. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38*(-2)\/(-76))\/27\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clc when three letters picked without replacement from yylcllly?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**6\/15 - 5*a**4\/4 - 24*a. Find the third derivative of i(s) wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -0.3 (c) 0 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 7, 4, -2755, 0.3 in descending order.\nAnswer: 7, 6, 4, 0.3, -2755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649.\nAnswer: 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002676688 to 6 decimal places.\nAnswer: -0.002677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106824?\nAnswer: 2, 3, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j + 172. Let h be n(-28). Solve 2*d = 10, -5*f + 3*d - 10 = h*d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + 0.2. Let u = 23.9 - 25. Let x = -0.9 - u. What is the second smallest value in 4, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10124021 + 2?\nAnswer: -10124014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, s: 1, c: 5, d: 4}. What is prob of sequence uscd?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Let z be (2\/(-3))\/((-2)\/9). Let w(h) = h**z + 3 + 395*h - 394*h + 2. Give w(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1385 + 1525. What is the remainder when r is divided by 90?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/4)\/((-76)\/(-304)). What is the units digit of (-6945)\/(-15) - c\/(5\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 9, 2*x + 6*w = 10*w - 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 + 36*g - 43. Calculate n(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 - -3*4\/6. Let l be 92\/12*(-2 - 2 - -7). Let f = l - a. Calculate the least common multiple of 1 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*h + 159*h = 3*o - 46, -7*o + h - 6 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 6282137.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -55570 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 661 + -916. Let p = a - -554. Calculate the highest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 + 244 = -35*a. Let l(s) be the third derivative of 1\/8*s**4 - 1\/60*s**5 - 1\/120*s**6 + 0*s - s**2 + 0 + 1\/6*s**3. Determine l(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8042*c**6 - 288*c**2 + 20 wrt c?\nAnswer: -965040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from xxxxeexpxxexxxeeex.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = -76*h + 6446526. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22*(-48)\/1980)\/4\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**33))\/n)\/(n*n**2*n*n)*(n*n**20)\/n**(5\/2))**41 assuming n is positive.\nAnswer: n**(-1681\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1395192699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + h + 60 = 0. Suppose 6*c - c - h = 0. Solve -m - 15 = c*f - 0*m, -5*m = 3*f + 27 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -10. Let z be ((-140)\/(-40) + (-53)\/14)*-14. Let c be (z\/h)\/((-5)\/90). Which is greater: c or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65901 - 127671. What is y rounded to the nearest one thousand?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26821 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 2000\/48) + 1535\/(-15).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 3*a + 4. Is 3 a factor of p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-18)*-9 + 19. Let z be 156\/858 - (-260)\/p. Solve -z = -3*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**4\/4 + q**3\/3 + q**2\/2 - 5*q. Let o be f(-1). Find the third derivative of -c**3 - 18 + 7*c**o + 18 wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*(3 + (sqrt(19) - (sqrt(19) + -5 + 5))) + 4))**2 + 1.\nAnswer: 9026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2794*c + 703*c + 719*c + 687*c + 719*c.\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85.05 - 85. Let j = 93 + -96. What is the nearest to d in -1, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448*z**2 + 659*z**2 + 965*z**2.\nAnswer: 2072*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*o + 123 = 327*o - 171 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108\/5 - 849\/40. Let v = z + 3\/8. What is the nearest to -2 in -0.3, v, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.7 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 78, 153, 254, 381, 534, 713?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 2) in base 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j + 35*j**2 + 4*j + 60609*j**3 - 60606*j**3 - 15*j + 3*j.\nAnswer: 3*j**3 + 35*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880677 is divided by 304?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**4 - 12*a**3 - 2*a**2 - 7*a. Let p(f) = 2*f**4 + 11*f**3 + 3*f**2 + 6*f. Let h be ((-2)\/1*2)\/1. Let k(q) = h*d(q) - 5*p(q). Factor k(m).\nAnswer: -m*(m + 1)*(m + 2)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-136 - -331) + -203 - (1 - 20)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 617598 by -6.\nAnswer: -102933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13045586381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.84 + -0.14. Let a = h - 1.6. Let x = 0.1 - a. Which is smaller: -0.2 or x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9749426 grams to tonnes.\nAnswer: 0.0000009749426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(3\/2)*20622\/(-203274)*(-1)\/(-21)?\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 18. What is the smallest common multiple of g and 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a century in months?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-108)\/126)\/((-16)\/(-14) - 1). Let i(y) = -y**3 - 6*y**2 + 2*y + 2. Determine i(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**11)**(-33)*u**(-28\/3)*u**(-4\/11)\/u*u)**(4\/15) assuming u is positive.\nAnswer: u**(-49196\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84.5 - -84.499723. What is z rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 251*v - 10196. Give k(53).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*d + 6 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/15 (b) -113780 (c) -0.5 (d) -4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9229 times -0.5\nAnswer: 4614.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13801307 and 657.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2166891?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -260*t**3 + 30*t**4 - 21760*t - 1861*t**2 + 980*t**2 - 25*t**4 - 4239*t**2.\nAnswer: 5*t*(t - 68)*(t + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -473\/10 + 228\/5. Find the common denominator of b and 17\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = v - 4*p + 15, 5*v = 3*p - 27. Let q be -5 - (v + -8 + 6). What is the second smallest value in -5, q, -116\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.14 - -0.2. Let i = -41\/6 + 19\/3. What is the second smallest value in -4, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2462, 4922, 7384, 9848, 12314, 14782?\nAnswer: 17252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + sqrt(17) - (sqrt(51)*2)\/sqrt(3).\nAnswer: -sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 - 10 = -3*o - 2*p, 3*o - 5*p = 96. What is the greatest common divisor of o and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 30 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/5)\/(r**(-3)*r*r))\/((r\/(r**(1\/3)*r))\/(r*r**(-3\/5)*r)))\/(r**(1\/5)\/r*r**(-3\/5))**(-4) assuming r is positive.\nAnswer: r**(-49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8*24\/(-128)*1\/(-3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + -2 - 2)*6. Let y(l) = -9*l - l**3 - 4 + 6*l + v + 3*l**2. Suppose 2*j = x - 1, -4*x = -14 - 6. What is y(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(2 + (-16 - -3)). Let z = p + 18. Solve -z = -4*n - 23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 71 = l, 7*l + 15 = 2*l + 3*q + 30 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -214349876 + 317149871. Suppose 4*f + s = 2*p - p, -f - 25700010 = 2*p. What is f rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19\/68 + -9\/17. Which is the closest to -1\/5? (a) s (b) -0.4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srsr when four letters picked without replacement from rssrsrxssssrrsssrx.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*2*(sqrt(30) + 2*sqrt(4320) - sqrt(30))\/((sqrt(300)\/sqrt(5))\/sqrt(6)))**2.\nAnswer: -288*sqrt(3) + 6921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62251959 and 2541?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/2489 and -38\/163.\nAnswer: 405707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 2*m - 2*m + (-m + 1 - 1)*(7*m**2 - 18*m**2 + 3*m**2) + 4*m**2 - 4*m**2 - 2*m**3 + 2*m**2 - 2*m**2 - 2*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**3 - 3*d**2 + 2*d - 2. Let x be y(3). Let v = x + 206. What is the remainder when v is divided by (4*(-15)\/(-40))\/(3\/26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**4\/3 + 3408194*c**3 - 8711819307039*c**2 - 104542199769708*c - 313626967394508 = 0.\nAnswer: -6, 5112297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.78 * -0.518.\nAnswer: -8.69204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 168 = 3*q. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(4 - 2 - 3)*(-6*o**2 + 16 - 16).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23\/7 + -1 + (-15)\/(-21). Suppose g - 5 = 6*g. Let a(n) = -4*n**2 - 2*n + 2. Let x(i) = 2*i - 2*i - i**2. What is f*x(y) + g*a(y)?\nAnswer: y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j - 4*j - 23*j.\nAnswer: -46*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 21*c + 2. Let y be j(10). Let w = y + -80. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 610608657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -15*(1 - (5 + -5)). What are the prime factors of k\/(1 + 4) - -192?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008401193 to five dps.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 136, 427, 894, 1531, 2332?\n\"Answer: -p**3 + 94*p**2 + 16*p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/((k*k**0)\/k))**31\/(k*k**(-7)\/k*k*k**(-2\/3))**(1\/5) assuming k is positive.\nAnswer: k**(-89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-40)*255\/27)\/(245\/105)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + j = 0, -4*l + 3*j + j = -32. Calculate the lowest common multiple of -7*56\/(-49) - (1 + 4) and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4*b = 20, -88*m + 84*m + 2*b - 22 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*-12 + 89 + (-395 - -410).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus 53.49?\nAnswer: 43.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 9:18 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 71*k - 266. Let q be v(7). Let u(y) = -y**2 - 24*y + 54. Let h be u(-23). What is the highest common divisor of q and h?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 50*i - 553. Let m be b(12). What is the greatest common factor of m and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 1. Let c = -2 + -4. Let q(o) = 15*o - 7. Let s(f) = -16*f + 7. Let b(u) = c*q(u) - 5*s(u). Give b(y) + 6*n(y).\nAnswer: -4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 28099586, 2, 1, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 11, -1, -4, -484, 4 in ascending order.\nAnswer: -484, -36, -4, -1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 + -0.5. Let r = 1320 + -1320.2. Which is the smallest value? (a) r (b) 6 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 5. Let j = z + 25. Let c = j + -13. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139098 by -717.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27186 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9203275 divided by -1\nAnswer: -9203275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 2*y - 31. Let r(f) = -f**3 - 19*f**2 - 18*f + 6. Let l be r(-18). Is 10 a factor of z(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20925\/4 - 5232. Which is the biggest value? (a) -14 (b) -2 (c) 3\/5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*a + d, 6*a - 3*d + 5 = a. Suppose 10 = a*k + 6. Suppose 2*p = 4*m - 9*m + 96, 5*p = k*m - 21. What is the remainder when m is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 1147*d - 244926. Calculate f(184).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/5 + (-9)\/15. Let z be (a\/6)\/((-1)\/(-8)). Let m = 6 - z. 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 remainder when 39317 is divided by 207.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/5)*f*f)\/(f\/f**(-3\/20)))**(-45) assuming f is positive.\nAnswer: f**(-297\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v - 3 + 2 - 5 + 6.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 2:22 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/4567536 and -71\/507504.\nAnswer: 4567536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -200438175797 - 110\nAnswer: -200438175907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 5*j + 2*j - 1)*(-2*j + 2*j - 2*j**2).\nAnswer: -6*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a2 (base 12) in base 16?\nAnswer: -22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lofolvpavopvlvpvo. Give prob of picking 1 o, 1 f, and 1 p.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 38\/3*p**2 + 12*p + 2\/3*p**3 + 0 = 0?\nAnswer: -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1811\/12 + 151. Let j(s) be the third derivative of 0*s + 0 + 1\/2*s**3 - 3*s**2 - i*s**4. What is the derivative of j(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) + 4 + sqrt(52))**2.\nAnswer: 48*sqrt(13) + 266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -135, -178, -201, -198, -163, -90?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8644688 years in millennia?\nAnswer: 0.0008644688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -3658.\nAnswer: 7\/1829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 326.0039 + -326. Let m = -7.9961 - u. Let g = 0.3 + 0.7. Which is the third biggest value? (a) m (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -35 (b) -0.8 (c) 9 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 366*d - 154038. Give t(425).\nAnswer: 1512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/4)*p**(-2\/95)*p)\/(p**(-12\/13)\/p*p**(-4\/31)))**(1\/24) assuming p is positive.\nAnswer: p**(167487\/1225120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 4) + (-45 - -22) - -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2525 + 3271 = 104*o + 57*o for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -5. What is the smallest value in -0.4, f, -2\/11, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 22 + 32 = 0. Let r(k) = 3*k + 4*k - l*k. Let z(w) = -8*w**2. Give r(z(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d5413 + c?\nAnswer: -3d5405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a + 1 + 2*a**4 - 6*a - 2*a**2 + 4*a to the form m*a**2 + h + g*a**4 + s*a**3 + w*a and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 4*r**2 + 2*r + 1. Let a(b) = b**3 + 5*b**2 + 3*b + 2. Suppose -3*j = -3*i - 18, 5*i = 3*j + 7*i - 3. What is j*u(n) - 2*a(n)?\nAnswer: n**3 + 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*u*v**4 + 20*u*v**2 - 1485*u + 20825*v**3 - v - 2 wrt v.\nAnswer: 1248*u*v + 124950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-5)\/8)\/((-53)\/((-1696)\/(-72)))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - m**2 - m - 1. Let c = 18 + 0. Suppose -4*u = 2 - c. Suppose -5 = -u*a + 3. Let g(p) = p**3 + 4*p + 2. Determine a*w(i) + g(i).\nAnswer: -i**3 - 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0253 + 0.0253. Let p = -17 - -16.9. Let n = 1.5 - p. Does n = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -100 - -1 - ((190 - 211) + 25 + -1)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8)*-1 + 255\/(-12). Let i(x) = 6*x + 12. Let r be i(-4). Let b = r - m. Calculate the greatest common divisor of 99 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1103445737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3196 + 22800\/7. Suppose -1714 = 2*u - s - 1822, 2*u - 3*s - 76 = 0. Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.735 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 12.7 and -10465.\nAnswer: -10452.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - a)*(840*a + 1273 - 1273) to g + h*a + n*a**2 and give n.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110001 - -211001011?\nAnswer: 202121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iifiiiiiiiiffi?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.3. What is the closest to t in -4, 2\/13, -31?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 6311310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 326674 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: What is the remainder when 864 is divided by 124?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1087 and 0.3.\nAnswer: 326.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 9 - 21. Calculate the remainder when (-2)\/(y*2\/404) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 137 + -77. Is ((-42)\/(-4))\/(x\/5960) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m - 15 = 0. Calculate the remainder when 650\/8 + m\/(-20) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**2 + 69*p + 126 = 0. Calculate p.\nAnswer: -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j + 98. Let f be u(-19). Let c(i) = 23*i**2 + 3 - 6*i**2 - 14*i**2 - i**f. Let a(s) = -2*s**3 + 4*s**2 + 4. Calculate 3*a(v) - 4*c(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 777 (base 12) to base 13.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12675 and 2351700?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172538299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1840 + 0 - -2 - (-39)\/((-195)\/(-5)) is divided by 263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 - 424*r**2 - 3313*r - 702358. Calculate v(-212).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -1 + 2 + (-4)\/(-1). Let d(r) = 6*r + 0 + 169*r**2 - 1 - 170*r**2. Determine d(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 4*i**2 - 3*i - 1. Is l(5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 19 + (-590)\/45.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0+14.73\nAnswer: 14.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -7?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19968 and 407776?\nAnswer: 254452224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 276?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(((-270)\/15)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 15*h**2 - 116*h - 129. What is the tens digit of r(28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4*q + 3328*q**2 + 6*q - q**3 - 3330*q**2 + (17*q**2 + q**2 - 6*q**2)*(0*q + 4*q - 6*q).\nAnswer: -25*q**3 - 2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 29. Suppose -3*l - 3*q - 1 = -2*l, -2*l + 8 = -z*q. Solve l + 10 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12266, 49086, 110464, 196406, 306918, 442006, 601676?\nAnswer: 785934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**17\/j*j)**39*j*j**(1\/44)*j**8*j assuming j is positive.\nAnswer: j**(31329\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-94)\/9 - (-3 + 1). Let s = -46\/9 - c. Let h be (-21)\/(-12) - (-4)\/16. Which is smaller: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 11) in base 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/4 - 7*x**3\/2 + 11*x**2 - 10*x.\nAnswer: x*(x - 10)*(x - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6*d\/d**7*d)\/(d**(2\/33)*d*d**(4\/9)\/d) assuming d is positive.\nAnswer: d**(49\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/15 and (-42)\/36*42\/(-45).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 0. Let i(g) = g - 1. Let l(r) = 2*r**2 + 4*r - 4. Let z(f) = b*i(f) + l(f). Let t(d) = 2*d**2 + d**2 + d**2. Calculate t(z(n)).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4 - 22*g**3 + 505*g**2 + 184*g - 340 = 0.\nAnswer: -17, -1, 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2286 - 2285. Solve 0 = 4*a + 5*m + 2 + x, 6 = -4*a - 2*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 14, 22, 19, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from cttfjcyyjyfk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -21 + 5. Which is the nearest to -4? (a) 2 (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4\/5 - 12*c**3\/5 + 3*c**2 - 6*c\/5.\nAnswer: 3*c*(c - 2)*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/30*(-6)\/183. Let w = 266 + -267. Which is bigger: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18970? (a) 5 (b) -30 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37320741 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: Express 2511*p + 136 - 2511*p - p**3 in the form g*p**3 + y*p + v*p**2 + a and give a.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000317842073 rounded to 7 dps?\nAnswer: 0.0000318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -887*y - 2. Let l be u(-1). Find the common denominator of 7\/(-12) + 1 + (1 - 1) and l\/(-660) - 1*-2.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -632\/7, -0.1, 3\/5 in decreasing order.\nAnswer: 3\/5, -0.1, -2, -4, -632\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 17 = 1. Let m(k) = k**3 + 9*k**2 + k + 9. Calculate m(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/6 - (-4)\/6. Suppose 0*m + 24957 = 4*m - y, c*m + 4*y - 12456 = 0. Is m\/4 - 18\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyny when four letters picked without replacement from {n: 5, b: 7, y: 3, x: 1}?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3118346, -1 in ascending order.\nAnswer: -3118346, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 2305.\nAnswer: 16135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**3 - 348*l**2 - 204*l + 180. Calculate p(-69).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -358 - -359.47. Let n = h - 0.47. Let b = -6 - -4. What is the closest to n in b, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 2*z - 5. Let m(i) = 17*i - 57. Let b be m(5). Let p(l) = l + 11 - 32*l**2 + b*l**2 + 4*l. Give 9*h(r) + 4*p(r).\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100.1 + 100. Put 1\/6, 0.2, v, 8 in ascending order.\nAnswer: v, 1\/6, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 17*m**4\/24 + m**3\/6 - 6*m**2. Let s be o(-3). What are the prime factors of 30\/s - 456\/(-10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1.8, -0.1, 2 in decreasing order.\nAnswer: 2, 1.8, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - m + 4. Let c be x(0). Suppose q + 5*f = -0*q + 4, q = 5*f + 14. Let u = q - c. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.7032666mm?\nAnswer: 0.07032666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38786?\nAnswer: 2, 11, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10959 and 20397?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 - 4*m**2. Let k(w) = w**2. Let q = 101 + -99. Let o be q\/(-2)*(2 - 3)*-4. What is o*k(i) - z(i)?\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*q + 42, 5*k = k - 5*q - 20. Let b(u) = -4*u**2 - 5*u + 5. Let x(c) = -5*c**2 + 2*c**2 + c + 2*c**2 + 1 - 2*c. Determine k*x(z) + 2*b(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**17\/((i**(-4)*i)\/i))\/(i**(3\/2))**(4\/13) assuming i is positive.\nAnswer: i**(267\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z. Let j(l) be the first derivative of -2*l**2 - 7. What is 5*j(m) - 2*x(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7593)\/2)\/(54\/(-36)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24999*l**2 - 2 + 2 + 42601*l**2.\nAnswer: 67600*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (126\/72)\/((-105)\/(-180))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**22*n)*n\/((n**(-2)\/n*n)\/n))\/((n\/(n\/n**(5\/6)))\/(n*n*n**(1\/6)*n)))**(-10) assuming n is positive.\nAnswer: n**(470\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3776*d = -3787*d + 99 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -13*r + 18*r - 9, 145*p = -r + 150*p + 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -63 - -123 - (-4 - (19 + -55))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5\/19 - 138*x**4\/19 + 2164*x**3\/19 - 6336*x**2\/19 - 36288*x\/19 - 27648\/19 = 0. What is x?\nAnswer: -2, -1, 12, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5682 + 4*r**2 - 2995 - 3488.\nAnswer: 4*r**2 - 801","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 + -54. What is the remainder when 48 is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 2*z**2 - 9*z + 9. Let v be c(4). Let x(t) = 0*t + 8 + t + 5*t. What is the tens digit of x(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w**3 + 12*w**3 - 2*w**3 - 2*w**3 - 22*w**3.\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ictyctiy. What is prob of picking 1 i and 1 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -7*h**4\/4 + 2*h**2 + 4. Find the second derivative of s(f) wrt f.\nAnswer: -42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g + 20. Let s(p) = -5*p + 8. Determine n(s(l)).\nAnswer: -45*l + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (253 + 5*d + 242 - 480 - 5*d + 3*d + d + (2*d + 3 - 3)*(2 + 1 - 2) + d + 4*d - 3*d)*(-4 + 4 - 1)*(2 + 2*d - 2).\nAnswer: -16*d**2 - 30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 24368936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 789353?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -392*d + 22. Let q(o) = -205*o + 11. What is 6*h(z) - 11*q(z)?\nAnswer: -97*z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66129326 is divided by 893?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.207 + 1365.\nAnswer: 1364.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 4*a**3 + a - 12*a**3.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 13 - 22. Let h(w) = -40*w - 218*w - 116*w - 4 - 258*w. Let f be h(r). Round f to the nearest one hundred.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 10:51 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15, 18, 13, -6, -45?\n\"Answer: -q**3 + 2*q**2 + 4*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/6 + (-10)\/4. Let j(y) = 2*y - 5. Let f(w) = w - 4. Calculate d*j(a) + 5*f(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (-6 + 0 - (-174 + 160)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.87 + 0.13. Which is the biggest value? (a) -1\/5 (b) -2\/29 (c) -3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovopovpp. What is prob of picking 2 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**3 - 16*x**2 + 22*x - 44. Let k be a(-18). What is the units digit of k\/(-160) + 3\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 + 3*i**2 + 3*i. What is the units digit of u(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.2 - 2.2. Let u = -23.99892 + f. What is u rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 212 + -107. What are the prime factors of b?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*j + 15 - 138. Factor 32*m**2 - 4*m**4 + 46*m - j*m**3 - 94*m + 7*m**3.\nAnswer: -4*m*(m - 2)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 361, 560, 757?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -117*q**2 - 1168*q - 16. Give s(-10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4183\/72 > -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286 = -12*l - 334 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 d when three letters picked without replacement from ywwddwwxywyyyxwyl.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3686 + -3691. Which is the biggest value? (a) 4 (b) -1\/380 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 0. Let h(d) = -d. Let s be h(g). Differentiate 0*i**s - 7 + 0*i**2 - i**3 + 5 wrt i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116753 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38645088 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-204*m + 25*m + 85*m)*(0*m - m + 0*m)*(2 + 2 - 3).\nAnswer: 94*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-40))\/(1*3\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -12*j**2 - 7*j + 2*j**3 - j**3 - j**2 + 8 - 7*j. Let o be l(14). Solve o = -4*f + 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*1.58.\nAnswer: -0.0316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*-1*1\/(-2). Suppose 5*m - 50 = 4*b, -b - r*b - 20 = 0. Suppose v + v - m = 0. Solve v*p = -5*d + 9 - 0, -5*d + 11 = 2*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.205 + -0.665. Let k = 0.04 + t. Let m = k - -0.830006. Round m to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 108. Let k be g(0). Suppose 5*o + 13*o = k. What is the lowest common multiple of o and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/v**2)\/(v**(-2\/7)\/v**(-2\/9)) assuming v is positive.\nAnswer: v**(67\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 7:14 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113095.74 nanoseconds to minutes.\nAnswer: 0.000001884929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 6 - 2. Suppose -4*l - u*k - 7 - 3 = 0, 4*l - k = 5. Solve l*t = 2*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 11*q = -20. Let d = q + -10. Solve -4*t + 3 + 5 = d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 22*g + 20 = -p - 4*g, g = p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 19 - 2*n - 13 - n in the form s + k*n and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148720868?\nAnswer: 2, 37180217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4615140 divided by -6?\nAnswer: -769190","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 109*y**3 - 35*y**3 - 40*y**3 - 36*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -13, 9\/106, -2\/9, 0, -11?\nAnswer: 9\/106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2)*(k\/(k**1\/k))\/k assuming k is positive.\nAnswer: k**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v**(2\/7)*v)\/v*v)**(2\/97)*v*v\/(v*v**8*v)*v**(2\/11) assuming v is positive.\nAnswer: v**(-57734\/7469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103003200 (base 4) to base 6.\nAnswer: 1401200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 1. Let z be 7\/1 + (-11 - 5). What is w(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 418 and 5522?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 40?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - ((1 - -1) + (-53 - 11)) - -4?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*c = -139*c - 288*c - 383*c - 6083 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i - 780. Suppose -4*o + 5*g + 135 + 87 = 0, 3*g = -5*o + 111. What is the remainder when i is divided by o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 28. Let l = j + 5. Let z = 55 - l. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 5)*(p - 2*p - p)*(-p**2 - 43 - 29 + 45) to the form g*p**3 + j*p + f*p**2 + u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24344 * -5\nAnswer: -121720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 402791*o**5 - 1388642*o?\nAnswer: 8055820*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**3\/3 + 3*d**2\/2 - 3. What is the units digit of b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2266*w = -2261*w - 3, z = -5*w - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 + 5*a**2 + a**3 - 2*a**2 + 7*a**4 + a**3 to the form g*a + n*a**4 + m*a**3 + r*a**2 + l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 1, -8 in ascending order.\nAnswer: -48, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 4*h - 9, 5*r - 28*h = -30*h + 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n + 294. Let k be g(0). Suppose -12*d = -6*d - k. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 2*a**2 - 2. Let o be v(2). Let x be (-26)\/(-6)*(o - (-3 - 2)). Suppose 0 = b - x + 2. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21564 (base 9) to base 5\nAnswer: -424224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*a + 20. Suppose 0 = -3*i - m + 5*m - 180, -a*i + 5*m = 295. Let t be (-264)\/i - (-4)\/14. Solve -4*p + 9 = l, -t*p + 11 + 4 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 35. Let x be 26*(-1)\/(-4) - s. Let y be (4\/60*9)\/((-1)\/(-10)). Put -2\/3, x, 0.3, y in descending order.\nAnswer: y, x, 0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 460*t + 13. Let n(h) = 231*h + 7. Give -11*n(c) + 6*v(c).\nAnswer: 219*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {w: 2, x: 3, t: 4}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32957525155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 3*c**5\/10 + c**4\/2 + 7*c**2\/2 + 298*c. Let v(t) = t**3 + 3*t**2 + 1 - t**2 - t**2. Give -14*v(l) + 2*z(l).\nAnswer: -2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 10:40 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 3*b)*(1 - 2*b - 1) + (2*b + 2*b - 8*b)*(0*b - 2*b + 4*b) + (243*b - 139*b - 329*b)*(1 - 1 - 2*b).\nAnswer: 438*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/sqrt(63) + sqrt(13) - (3*sqrt(39))\/sqrt(3))**2.\nAnswer: 325\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 7. Let w be i(0). Let n be 20\/(-70) - (-12)\/w. Suppose 0*v + 2*v = 0. Sort -5, v, n in decreasing order.\nAnswer: v, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) 1\/13 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 5*m + 2*m. Let f(d) = -6*d**2 - 8*d. Let y(n) be the first derivative of 7*n**3\/3 + 5*n**2 - 4. Let q(t) = 5*f(t) + 4*y(t). Calculate q(k(z)).\nAnswer: -50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2*(-21)\/(-126)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33560, 268442, 905966, 2147450, 4194212, 7247570?\n\"Answer: 33553*i**3 + 3*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -254\/9? (a) -0.5 (b) -5 (c) -1 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 2. Let l be t(-3). Suppose 3*n - 5*q = -14, n + 4*q - 7 - 11 = 0. Suppose -n*s = 5*g - 4, -l*g + 2*g - 4*s = -8. Solve -7*o + 2*o = g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*2 + sqrt(1620))\/(sqrt(40)\/sqrt(324)).\nAnswer: 243*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 2584146 and 2584146 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 9*i + 2 - 6.\nAnswer: 9*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -637 - -633. Put 27, 2, x in increasing order.\nAnswer: x, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**5 - 716*z**4 - 20284*z**3 - 222756*z**2 - 1033920*z - 1587600 = 0 for z.\nAnswer: -147, -10, -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 937271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86334.9354us to weeks.\nAnswer: 0.0000001427495625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*j - 2875 + 457 = -203*j + 93 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (400*t - 34 - 205*t - 193*t)*(4*t**2 + 3*t - 3*t) + 0*t**3 + t**3 + t**3 in the form q*t**3 + a + p*t**2 + f*t and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/6 - 241*y\/6 - 17130325\/3.\nAnswer: (y - 5975)*(y + 5734)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/3 + 1. Let x(c) = -c**3 - 9*c**2 - 8*c - 3. Let a be x(-8). Let l be (a\/2)\/(15\/20). What is the biggest value in l, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 1. Let c(y) = -y**3 - 10*y**2 + 5. Let s(q) = -3*b(q) - c(q). Let o be s(-13). What is the tens digit of (-2 + 0)\/o + 93\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, p: 3}. What is prob of picking 2 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 5*r**9\/252 - r**8\/112 - r**5\/60 - 5*r**3\/2 + 47*r**2. Find the third derivative of s(p) wrt p.\nAnswer: 1200*p**3 - 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -15 + (7 - 4) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**22*(k\/(k*k\/k**(-1\/12)*k)*k*k)\/k assuming k is positive.\nAnswer: k**(251\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3) + (-10)\/(-6). What is the common denominator of 13\/8 and y\/10 + (-886)\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 112 = -2*v, 0*v - 3*v = -5*r + 176. Let k = -28 - v. Let c = 18 + -10. What is the remainder when k is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3857060*r**5 - 2*r**4 - r + 130331 wrt r?\nAnswer: 77141200*r**3 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1256951871?\nAnswer: 3, 7, 59, 16103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suslsluslsshfuhl. Give prob of sequence fh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d + 3*d + 6*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181427, -725929, -1633429, -2903927, -4537423, -6533917, -8893409?\nAnswer: -11615899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*g + 738 = 0, -3*h + 444 = 7*g - 4*g. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3016 + 40136?\nAnswer: 34120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23693, 47340, 70977, 94604, 118221?\n\"Answer: -5*l**2 + 23662*l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 - 13688*f**2 - 1915144*f\/5 - 13403264\/5.\nAnswer: -2*(f + 14)**2*(f + 34192)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x - 6. Suppose 44*l = 78 + 54. Suppose 49 = 4*t + l*r + 40, -t = r - 3. Solve 0 = -t*a - 2*a - x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.51 and 44.\nAnswer: 946.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - (-6 + -147) - 1*-1. Let f = 223 - m. Suppose -5*k - 6 = g, 2*g - 3*k - 53 = -0*g. What is the remainder when f is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 305, 0.2, 9\/4 in ascending order.\nAnswer: 0.2, 9\/4, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, 32, 0 in ascending order.\nAnswer: -3, 0, 9, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 1, t: 2, x: 4, a: 2}. Give prob of sequence ajt.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -631*l + 1265*l - 144 - 632*l + 0*l - l + 2*l + 1 - 2*l - 1 + (0 - 1 + 3)*(-l + l - l) + l - 4*l + 0*l.\nAnswer: -4*l - 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 - 3 = 0. Let s be (-402)\/(-462) - y\/(-7). Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 253711 = z + 175137, -5*z - 1072125 = 5*g. Let b = 144623 + g. What is b rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(2\/(-36)). Let m be -9 + (-9)\/21*-28. What is the remainder when 23 is divided by (q + 0)\/m*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 - 59. Let l(g) = -g**2 + 2*g - 1. Let q be l(1). Solve o*i - i = q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6035.104*-0.08.\nAnswer: 482.80832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*k + 177 = 6*a, a - 33 = -k. Suppose -a = -6*f + 23. Suppose 13 = j - f. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080 (base 10) in base 16?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2095.96 - -2094.4200064. Let t = 1.54 + m. What is t rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 729555500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -75*x - 2723. Give p(-36).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/11)*t)\/(t\/(t*t**(4\/5))))\/(t\/t**(-3)*t**(-1\/8)) assuming t is positive.\nAnswer: t**(-393\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*x - 20. Suppose b + b = x. Suppose f - 25 = b*d - d, -5*d = 4*f - 79. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1\/3, 2, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -3*j + 72, 2*k + 365416 - 365452 = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 17*x - 5882. Let w be -73*(-1 + 1 + 3). Let u = w - x. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 4*o + 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 4 - (-2 + -1 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 16 = -19. Suppose 7*s - 2*s - 18 = -3*a, -5*a + u = 0. Suppose 0 = -2*y + s*y - 241. What are the prime factors of y?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 4*z - 10. Let n be y(-8). Let w be 1*41999998*33\/n. Let p be (-2)\/6 - w\/9. What is p rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 23*h**2 + 4*h - 3. Let d be r(1). Suppose -6*i**3 + 2*i**2 - d - 18*i**2 + 2*i**3 + 44*i = 0. What is i?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.205 times -0.8?\nAnswer: -0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01542 rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2497042 is divided by 278.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -1.71\nAnswer: -5.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 194\/(-18) + 10\/(-45). Do -6 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4684727 years to centuries.\nAnswer: 0.004684727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 15) in base 8?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.5 + 5.4. Which is the nearest to z? (a) -5 (b) -0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 67. Let t = 33 - l. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 o, and 1 e when three letters picked without replacement from {o: 1, e: 1, c: 10, m: 2, g: 6}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**6\/2 - 4*d**5\/5 - 3*d**3 - 3*d + 33. Find the third derivative of y(k) wrt k.\nAnswer: -180*k**2 - 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2 - 38*d - 21. Let c be k(10). Is 4\/21 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + r + 4. Let h(c) = 6*c**2 - 6*c - 473. Calculate -h(l) - 8*n(l).\nAnswer: 2*l**2 - 2*l + 441","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 6*m - 6. Let k be r(7). Let u(t) = 4*t**2 + 225*t - 175. Let z be u(-57). Put -82, k, z in descending order.\nAnswer: k, z, -82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u\/u**(-1\/3))\/u))**(8\/13)*(u**(-1)*u*u)**(-6\/31))\/((u*u\/(u\/u**(-6)*u)*u)\/(u*u\/((u*u\/u**(-3))\/u)*u*u))**(-22\/7) assuming u is positive.\nAnswer: u**(-125948\/8463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 5*u**2 + u - 3. Let v be l(5). Suppose j = -2*a + 6, -j = -v*a - a + 19. Let f(x) = 3*x. Let w(r) = -3*r + r + r. Give j*w(p) - f(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/7)*h*h*(h**(-6)\/h)\/h)**6 assuming h is positive.\nAnswer: h**(-198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 + 0.9. Let y = -156 + 782\/5. Let t = 8 + -5. Which is the nearest to -0.2? (a) t (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 4739 - 23451. Suppose 5*d - 2823 = 3*m, 0*d + 5*d + m = p. What are the prime factors of d?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*(-82)\/(-4428)*5*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1913 = -7*h + 2*h, 3*h - 1159 = 4*w. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42502341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 = 2*t - 2*o - 40, 2*t + 2*o - 300 = 0. Which is smaller: t or 153?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n*n\/n**(-3))\/n))**(2\/43)\/(n**(-8\/9))**25 assuming n is positive.\nAnswer: n**(8528\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k*k**1)*k*k**(-3\/11))\/(k\/((k\/((k\/(k\/(k*k**(4\/7))))\/k*k*k*k))\/k*k)*k**(-3\/5)*k) assuming k is positive.\nAnswer: k**(-1634\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (792\/(-81) - -12)*63 is divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5640495699 + 919.\nAnswer: -5640494780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s - 15. Let o be t(3). Find the third derivative of -34*j**2 + 36*j**6 - 99*j**6 + 48*j**o wrt j.\nAnswer: -1800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 11:24 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + (-115)\/(-2)*40\/100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-25)\/i)\/i)\/i**(-9\/2))**(-16))**(-11) assuming i is positive.\nAnswer: i**(-3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -8 (c) 0.0204 (d) 9\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4*w + 12 = -0*b, 0 = 5*b + 3*w + 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -4. Let y = -39 + 34. Let l = y - s. Which is greater: 4 or l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1171 - -1176. Let z be 33\/7 + (-2)\/(-7). Solve 2*s - a + 13 = -2*s, z*s = q*a - 35 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(165)*-5 - sqrt(165))\/((sqrt(44)\/sqrt(4) + sqrt(11))*-2))\/((-2*sqrt(192))\/((sqrt(48)\/sqrt(3))\/sqrt(4))) + 5.\nAnswer: 9*sqrt(5)\/32 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 51*l - 220. What is the units digit of s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-152)\/8)\/((-14231)\/22470).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/23)\/o)**(-25))**(15\/7) assuming o is positive.\nAnswer: o**(9375\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 43135714 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/5 + 6119502*y**2\/5 - 24478044*y\/5 + 24478056\/5.\nAnswer: 3*(y - 2)**2*(y + 2039838)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (5 - (-14 - -8)) + 14 + -5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 593, 3435, 11107, 26027, 50613, 87283, 138455, 206547?\n\"Answer: 403*f**3 - 3*f**2 + 30*f + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14512?\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16 times 29\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 14*s - 31552. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13404 (base 8) to base 10\nAnswer: -5892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83597, -334387, -752373, -1337555, -2089933, -3009507, -4096277?\nAnswer: -5350243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**7\/210 + j**6\/18 - j**5\/30 - 5*j**4\/6 - 2*j**3\/3 - 17*j - 16. Let g(o) be the third derivative of c(o). Factor g(f).\nAnswer: 4*(f - 1)*(f + 1)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbslvfbu. What is prob of sequence bv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g**3 - 4*g**3 + g**3 + (-4 + 5 + 0)*(-g**3 + 2*g**3 - 2*g**3))*((-2 + 2*g + 2)*(-3 + 3 - 2) + 2 - 1 + 2*g - 2) + 6*g**4 - 19*g + 19*g.\nAnswer: 26*g**4 + 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1111 - 43?\nAnswer: -1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 297855\/73 at most as big as 4080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4686524 to the power of 1\/2, to the nearest integer?\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, -4, 1\/16, -0.3 in decreasing order.\nAnswer: 9, 1\/16, -0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6\/11)\/(o**(-2\/7)\/o))\/(o\/((o*o**5)\/o))**(-19) assuming o is positive.\nAnswer: o**(-5795\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/178782 and -71\/893910?\nAnswer: 893910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 3*w - 49 + 23 = 0, 16*g - w + 83 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lglllllzl. What is prob of picking 1 l, 1 z, and 1 g?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 1, t: 1, x: 1, y: 1}. What is prob of sequence yy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.089 and 6.3?\nAnswer: 63.5607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-5200)*-20)\/(3\/(-12)*-4).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, -2, -0.3, 3, 2\/9 in descending order.\nAnswer: 106, 3, 2\/9, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 9*p**2 - 91*p + 612. What is j(10)?\nAnswer: 1602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j + 238 = -30*j + 46*j - 321 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12744*c**2*g + 19*c**2 + 433*c with respect to g.\nAnswer: 12744*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 6*n + 5. Let g be b(5). Suppose 3*o - 2*w + g*w = 14, 3*o + 2 = -2*w. What is the third smallest value in -2, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + h - 5, -3*h = 81*p - 79*p - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 11) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 5*t + 12 + 15, -t + 6 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.420978713 + 0.038976965. Let d = 0.382 + u. Round d to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1312\/1365 + -48\/35. Let p = y - 10\/39. Which is smaller: -1.93 or p?\nAnswer: -1.93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*14\/392)\/(32\/28*(-1)\/(-6)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**4 + 7*b + 7*b**3 - 5*b**3 + 2*b - b as p*b + w*b**2 + q*b**3 + o + k*b**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12242 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 - 4*j + 4. Is 14 a factor of v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1131*w. Let c(a) = 79438*a**2. What is c(r(u))?\nAnswer: 101613991518*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*u = 117*u + 60. Let v(z) = -z**3 + 5*z**2 - 2. Let b(k) = -k**3 + 4*k**2 - 2. What is u*v(t) - 5*b(t)?\nAnswer: t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131.72*-0.02217.\nAnswer: 2.9202324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42773 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: Multiply 4 and 0.231805.\nAnswer: 0.92722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122406 is divided by 352?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 33*o**2 + 69*o + 36. Let u be m(35). What is the greatest common factor of 101 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -217863, -88, 5?\nAnswer: -217863","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*z + 6*z. Suppose 5 = 3*y + o - 0*o, -2*y - 3*o - z = 0. Solve -5 = 4*u + i, -y*u + 5*u + 10 = -2*i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 64059, 128121, 192181, 256239, 320295, 384349?\n\"Answer: -y**2 + 64065*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -101408*f - 311606?\nAnswer: -101408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -12*r + 33 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = x - 320, -2*j = 6 - 8. What are the prime factors of x?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eem when three letters picked without replacement from {e: 9, m: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-425)\/136*8\/10\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 199249 = -32*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*r = -49*r - 205. Calculate the greatest common factor of 123 and r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 + (18 - 11 - -1 - -9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0.3, 23, 5, 41.8 in ascending order.\nAnswer: -15, 0.3, 5, 23, 41.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*a - 1 + 1)*(0 - 3 + 1)*(-135 + 74 - 79) to t*a + n and give t.\nAnswer: 4480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 4*c**2 + 5*c + 6. What is the remainder when -2*3\/((-6)\/17) is divided by y(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -404, -371, -338, -305, -272?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 2*x + 4*x)*((2*x + x - 5*x)*(2 + 1 - 1) + 3*x + 4 - 4 - 3*x + 4*x + x - 2*x + 3*x + 2*x + (-2 + 3 + 0)*(0 + 2*x + 0)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -312, -599, -888, -1179?\n\"Answer: -r**2 - 284*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 = -7*m - 28 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 785560611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -348989 (base 11) to base 2.\nAnswer: -10000111001001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 282 from -1.8.\nAnswer: -283.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 + 9*i**2 - 7*i - 7. Let m be x(7). Suppose -h - m = -10*h. What are the prime factors of h?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43897.\nAnswer: 7, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((79443\/(-78))\/97)\/147?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18047 - -0.21953. Which is the third smallest value? (a) i (b) -3 (c) -0.34 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (27 - 27 - 38\/12)*-2*9555?\nAnswer: 5, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38319139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4 - 14*z**3 + 1219*z**2 - 1204*z = 0?\nAnswer: -43, 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 12:35 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10680 + 10678. Sort 1, 2, 5, l, -1.\nAnswer: l, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -96071307 from -0.2.\nAnswer: 96071306.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 140275 less than or equal to 140276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 3*a - 842 = 4*n, -2*n = 3*a - 320. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-35 - (20 + -41))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -23*q + 11. Let m be g(-11). Calculate the greatest common factor of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -58016 (b) 2\/19 (c) 8.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_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: Simplify (d**6)**(2\/69) assuming d is positive.\nAnswer: d**(4\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*z + 74*z - 80 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 21, 27, 33, 39?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*w**2 + w**2 - 13*w**2 - 76*w**3 + 12*w**3 + 13*w**2 to the form p*w + g + a*w**3 + l*w**2 and give a.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*5\/390*3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 2\/9 (c) -5\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402931252 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -191 - (1374 - 1269)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - 2.01. Let h(j) = 2*j**2 - 83*j - 1546. Let r be h(-14). Which is the third smallest value? (a) -1 (b) r (c) -3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -1\/5*f**4 + 0 + 0*f**3 + 1\/25*f**5 + 8\/5*f**2 + 12*f. Factor t(q).\nAnswer: 4*(q - 2)**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1563 is divided by 201?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6*l - l + 259 = 0, 0 = -3*l + 3. Calculate the least common multiple of 21 and m.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (234\/(-81))\/13*(-462)\/10010*(-15)\/(-18)\nAnswer: 1\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107458 + 107508. Let o be (-19)\/(-2) + 4\/8. What is the highest common factor of o and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-27) - (-23)\/3. Let u(p) = 7*p + 14. Let q be 3*(-3 - (-25)\/5). Let s be u(q). Calculate the highest common divisor of s and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110212212002 - 112?\nAnswer: 110212211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 + -51 - -1*(148 - -1) is divided by 47.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/53729 and 45\/264512.\nAnswer: 3438656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**0)**16*t**3\/(t*t**(-12)*t))**24)**38 assuming t is positive.\nAnswer: t**11856","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 505, 1211, 1917, 2623, 3329, 4035?\nAnswer: 4741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 14156 - 14219 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 6*g**2 + 4*g + 9. Let l(f) = 7*f + 324. Let d be l(-47). What is k(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 210 - 189. Suppose 12 = -s*p + 15*p. Sort -155, p, -1 in ascending order.\nAnswer: -155, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.633304 days to hours.\nAnswer: 231.199296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**5\/15 - 32*h**4\/9 - 442*h**3\/9 + 1156*h**2\/3 - 52*h. Factor l(t).\nAnswer: -4*(t - 2)*(t + 17)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*o + o + 288, -5*n = o - 341. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 563965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3)*36\/6. Let t(g) = -4*g**x + 2*g + g + 5*g + 0*g**3 + 4 - g**3. Calculate the remainder when t(-6) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*d**3 + 10*d**2 - 95*d**3 - 10*d**2.\nAnswer: -193*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20*(-15)\/480)\/((-5)\/(-12)). Suppose c*z + 9\/8*z**4 + 1 - 7\/4*z**2 - 15\/8*z**3 = 0. What is z?\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 14*d + 13. Let t(n) = -n**2 - 13*n - 12. Let a(s) = -6*o(s) - 7*t(s). Let c be a(-6). Let v(r) = -r**2 + r - 8. Determine v(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59967630 a multiple of 1030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*i + 3*i. Suppose -i*k - 8 = 7. Is 0\/(-1) - (k - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 11:36 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 202691\/9 - 22521. Factor -14\/9*w**2 - i*w**3 - 2 - 10\/3*w.\nAnswer: -2*(w + 1)*(w + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -823*u**3 + 338*u**3 - 2028*u**3 - 145*u**3.\nAnswer: -2658*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 84.35349 millennia?\nAnswer: 84353.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k**2 - 6142 - 5*k**3 + 4*k + 6130 + 8*k**2 to the form v + s*k + i*k**2 + t*k**3 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30289 is divided by 7506.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 12\/2*(-12)\/(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, -6\/5, -1\/10 in decreasing order.\nAnswer: 5, -1\/10, -0.3, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -49 + 55 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (798*a - 190*a + 383*a)*(-a - 5*a - 4*a - 3*a)*(3 - 3 + 2*a).\nAnswer: -25766*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10396088 a multiple of 1755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8*r - 8. What are the prime factors of m(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -1\/6 (c) 3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16012\/7 + -2295. Let i = 41 - 46. Calculate the common denominator of l and i\/(-2)*(-18)\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a year in months?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 547541493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 17*m**2 - 12*m + 63. Give a(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 190332 = 6*s. Let h = s - 11078. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2643126641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {o: 2, s: 2, b: 10}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 105?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**3 - 6*j**2 - 4*j + 29. Let a be k(6). Let o = -431 + a. Solve s + 21 = -o*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 10:14 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -725 (c) -118046 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**3 + 8*t**3 + 7*t**3)*((-1 + 3 + 0)*(0 + 0 - t) + 0*t - 2*t + 0*t + (-t + 2*t + t)*(-2 - 1 + 1)).\nAnswer: -88*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 116742, 116740, 116738?\n\"Answer: -2*n + 116744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*p - 11*p + 70*p + 710 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*p + 0*p + 1052 = 0, 3 = 3*p. Let l = -190 - k. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2787 + 4191. Let q = 979 - u. Let g = q + 425.000191. What is g rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v - j + 11, -2*v + 26 = -5*j. Suppose v*k = k. Sort k, -4, -2.\nAnswer: -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 4:04 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in -5, -14.8, -0.181, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 8*x**2 + 52*x + 431. Let d be w(-8). Solve -5*q - 11 = 5*v - 3*q, d = -5*q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1754 + 1?\nAnswer: -1753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - ad?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 2*s + s)*(-2 - 4 + 4)*(-6 + 4 + 0).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkoqaiaiiqq. Give prob of sequence ao.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -8.4. Let a = 4.6 - d. Let t = 0.95 + -0.85. Is t <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34\/4121 + 25326\/4121. Factor 2\/13*b**2 + 800\/13 + d*b.\nAnswer: 2*(b + 20)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqm when three letters picked without replacement from qmbgmzmm.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 579700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 14. Which is the second smallest value? (a) 0.03 (b) p (c) -3\/5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 4*y + 15. Calculate d(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 - (-94)\/4 - -1 and 49\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pswv when four letters picked without replacement from {r: 4, p: 7, v: 2, y: 1, s: 1, w: 3}.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -37*u + 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 6*h - 2*h - 674, 5*j + 5*h + 3320 = 0. Let a = j + 1523. Let t = a + -564. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646199 is divided by 347.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1853238482.\nAnswer: 2, 47, 659, 29917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 26. Let x be w(13). Let g = -1.7 - -0.6. Let y = 1 + g. Which is the nearest to y? (a) x (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from eqrqooqeqeeqqqeoqe?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -135174 times -1?\nAnswer: 135174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 d, and 1 u when three letters picked without replacement from {l: 1, u: 2, d: 1, g: 3, e: 3, q: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 5 - 4 - 3)*(4526*u**2 - 7779*u**2 + 4178*u**2).\nAnswer: 925*u**3 - 1850*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 82.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q + 1. Let d(v) = -v**2 - 3*v + 2. Let y be d(-5). Let f(c) = c + 17. Let b be f(y). Is t(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3385 - -3385. Let b(w) be the second derivative of 8*w - 5\/2*w**2 + k + 4\/3*w**3. Differentiate b(c) wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(15\/2)*f**(8\/5)*f**(1\/22)*f**17\/f)**(-22) assuming f is positive.\nAnswer: f**(-2766\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 13. Let v(j) = -j**2 - 1021. Determine 2*r(s) + v(s).\nAnswer: -s**2 - 995","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -23 - (-11 - -13 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 2*j - 3. Let t(r) = -8*r**2 - 7*r - 11. Determine 22*s(h) - 6*t(h).\nAnswer: 4*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25234 = -133*w - 1014*w for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410 (base 10) to base 13.\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.2 + 11. Let s = 18 - 16. Which is the nearest to s? (a) u (b) 2\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28027\/4 + 7054. Let q be (1 - 44) + (-40)\/10. Let z = q + u. Is -5 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, 1\/21, 3\/8, 2\/73, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 0. Suppose 3*l - a*l + 40 = 0. Calculate the lowest common multiple of 2 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (170\/(-459)*-18)\/((-15)\/(-18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 16 = p - 3*p, -9 = -3*p. What is the highest common divisor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/(-250)*(-2)\/(-6).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.379 - 2.3. What is t rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45845 - 366759\/8. Put -4.63, -4, o in descending order.\nAnswer: o, -4, -4.63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-8))\/(116\/((-103936)\/(-336)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*v - 17*r + 18*r, 2*v = 2*r + 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10540354 and 5294?\nAnswer: 5294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000114513 to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1. Suppose 0*k - n = k. Calculate the least common multiple of 1 and (k\/(-2))\/(3\/48).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (142 + 1)\/(4191\/(-1905))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 44 = z, -4*v = 2*z - z - 40. Let c = z - 47. Let u(o) = -4*o**2 + 2*o - 1. Determine u(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -2*l**2 + l - 2. Let m be g(-1). Factor 5*z**m + 2*z**2 + 2*z**3 - 2*z**4 - 3*z**5 - 4*z**5.\nAnswer: -2*z**2*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, w: 7, r: 3, c: 6, e: 1}. Give prob of picking 1 c and 2 r.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + m**2 - m. Let g(p) = 8*p**2 - 3*p**3 + 9*p**3 + 2*p**3 + 11*p - 19*p**2. Let j(x) = -3*g(x) - 21*n(x). Factor j(d).\nAnswer: -3*d*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*44\/(-33) + (-11 - (-63 + -6))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 79 = -439. Suppose 3*w + 4*d = 50, -4*d + 18 - 112 = -5*w. What is the greatest common factor of h and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602896 greater than or equal to 602894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((2340\/(-148))\/39). Suppose 0 + 14\/15*y**4 + 76\/15*y**2 + 16\/15*y + k*y**3 = 0. Calculate y.\nAnswer: -4, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c + 168 = -296. Let q(w) = 3*w**2 - 13*w - 12. List the prime factors of q(c).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 12:36 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**2 - 10460*f + 5470580 = 0. What is f?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2.9 (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/54 + 6\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**5\/60 + w**3\/6 - 3*w**2. Let q(s) be the first derivative of j(s). Let l(r) = 2*r - 4*r + 4*r. What is l(q(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -46 - 6*o + 16*o - 6*o + o. Let b be x(18). Solve 47*t = b*t - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r**2 - 2 + 2 + 5*r + 6*r**2. Let q be b(5). Solve 2*s + q = 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28302062 - 1?\nAnswer: 28302061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 13*q**2 + 19*q - 18*q + 39*q**2.\nAnswer: 56*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 greater than or equal to -171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24880694.\nAnswer: 2, 97, 277, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1187*n**5 + 26667*n**3 - 144340*n - 288.\nAnswer: -23740*n**3 + 160002*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*l - 130 = 2*l, -25 = n + l. Let i be n\/(-8) - (-2)\/8. Suppose -6 = -i*w + 14. Is 0 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96\/85 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 3*w**2 + w + 1. Let p be m(3). Suppose 12 = 4*z - 2*y, 0 = 5*z - 2*y + 11 - 26. Solve 2*j + 12 = 2*a, -p*a = -6*j + z*j - 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*z - 16, 4 = -2*c + 2. Let s be (-3)\/(-9)*3 - z. What is the third biggest value in -0.5, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 5:02 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**6\/12 + q**5\/12 + 529*q**3\/6 - q**2 - 323. Find the first derivative of k(c) wrt c.\nAnswer: -30*c**2 + 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1897?\nAnswer: 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.96802043588 and -0.044.\nAnswer: -1.01202043588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9886015 weeks to nanoseconds.\nAnswer: 597906187200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + n)*(0*n - n + 0*n + 2*n + 0*n - n + (4 - 2 + 0)*(2*n - n + 0*n) - 3 + 3 + 2*n).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4aa8 - -18?\nAnswer: 4ac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16\/2 - (16 - 12) and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 316 = -4*b, -3*b = -k + 68 - 300. Suppose -b = 4*z + 150. What is the third biggest value in z, -3\/2, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5 != 101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15b093 + 1ee?\nAnswer: 15b292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1)*x*x**(-10))\/(x**12)**(-2\/43) assuming x is positive.\nAnswer: x**(-363\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/7 and 26\/55637.\nAnswer: 389459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75302)\/(-11459))\/((-2)\/(-21)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, 1\/16, -5, -2.3, -1?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1319*x = 1317*x + k, -1 = 3*x - k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -56*k - 18. Let n be w(-10). Suppose 0 = 42*a - 46*a - 228. Let p = a + n. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-128)*8 + ((-48)\/(-60))\/((-3)\/(-90))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 6*w**2 - w + 5. Let m be o(-5). Let n = -11 - m. Solve -n*v + 20 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-15))\/((-2)\/(-156)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + m)*(-312 - 39 - 148 + 13) to the form o*m + u and give o.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*r - 5. Suppose -3*f - w = f - r, -2*f - 3*w - 5 = 0. Suppose 2*k - 354 + 92 = -2*y, -k - 268 = -f*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 12*r**2 + 3*r - 3. List the prime factors of b(-2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7560252 to the nearest integer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/22*((54 - 41) + 11\/((-99)\/114))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(99) + -3.\nAnswer: 2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110010001011110 (base 2) to base 8.\nAnswer: 162136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**2. Let h(i) be the third derivative of i**7\/1680 + i**5\/20 + i**2. Let j(p) be the third derivative of h(p). Calculate j(a(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(1\/4)*y)\/y)\/y)**(-15)\/(y*y\/y**1*y*y)**(-42) assuming y is positive.\nAnswer: y**(519\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -34012.6782 rounded to the nearest one hundred?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(700) + sqrt(700) + 1) + 4 - 2*(0 + sqrt(700))*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1450*d**3 - 732*d**3 - 717*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 4:29 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(48\/14 + -3) - -5\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/12 - 9\/(-4). Let c be 368\/48 + f\/6. Solve 3*j - 3*t - 2 = -j, 2*j + 3*t + c = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 4*h - 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-753)\/2259)\/(((-1)\/309)\/(-1))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5095936 grams to tonnes.\nAnswer: 0.0000005095936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, 49, 133, 249, 397, 577?\n\"Answer: 16*o**2 + 4*o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*b - h + 160, 0 = -4*h + 12. Let s = b - -52. What is the common denominator of 4\/s - (-3 - -1) and 93\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546980490 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673 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: Let b(m) = -m**3 + 2*m**2 + 2*m. Let c(g) = -5*g**3 + 11*g**2 + 11*g. Determine 33*b(w) - 6*c(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -4. Let l = 12 + u. Solve 5*a - 2*b = a - l, -5*a = 3*b + 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -19. Let r(y) = 11*y**2 - y. What is the least common multiple of a and r(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190283 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -384.5 - -388.5. Which is the closest to -1? (a) -6.1 (b) 0.3 (c) -1\/6 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 140276188371 + -140276636512.700074. Let q = 448141 + o. Let n = 0.7 + q. Round n to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/6 - (-2)\/6. Suppose -b = -0*d - 2*d. Suppose d*i - 12 = 14. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 5. Let u be o(-4). Let y be 3*(-2)\/(-1 + u). Find the second derivative of 5*b - 6*b + b**5 - b**5 - y*b**5 wrt b.\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1530)\/(-51)*(-294)\/(-252)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15938, 15650, 15362, 15074, 14786, 14498?\nAnswer: 14210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -3051\/47, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 805599.\nAnswer: 805599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259 and 25256.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -507*b**2 + 7*b - 40. Let p be v(7). What is the thousands digit of (-63)\/(-147) - (p\/21 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 2*d - 5*d + 42 = 0, 5*j = -4*d + 41 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -8226?\nAnswer: -821b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, -40, -85, -148, -235, -352, -505, -700?\n\"Answer: -z**3 - 26*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - 1040\/(19 + -15). Which is bigger: 3\/2 or k?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1038\/25 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.24300033 - -0.243. Round d to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.2 - 4. Let h = n + -0.3. Let r = 0.2 + h. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6496628, -25986523, -58469682, -103946105, -162415792, -233878743?\nAnswer: -318334958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*l - 20, 5*w - 8*w = 3*l - 30. Suppose 2 + 2 = -4*j, 2*j = c - 4. Solve -w = c*s - 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a week?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a97 + 12?\nAnswer: 2aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2298482055 to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5 = 5*w, -r + 46 = -14*w - 3*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from psosooopopmo. What is prob of sequence oom?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3*m - 225 - 8001. Which is smaller: -1370 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 185 - 196. Which is bigger: m or -65\/6?\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - i**2 - 2*i)*(-i - 1 + 1) + 0*i**3 + 10*i**3 - 5*i**3 + (i**2 + 3*i - 3*i)*(-2*i + 0*i + 3*i).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.66?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + 0 + -2 - ((59 - 83) + (34 - 8))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 292\/(12\/(-96) + (-17)\/(-8)). Let m = k + -131. Solve m*z = 13*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from ouooooooouooxouoox.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {m: 9, s: 4, l: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 19. Let r be 0 - (2 + (3 - p)). What is the first derivative of 4*h**3 + 1 - r*h - 11*h**3 + 2*h wrt h?\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**3 + 3*x - 2. Give c(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 + 66*o + 4. Determine m(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 10416\/(-102) - (-16)\/(-136). Is o smaller than 85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*l**3 + 169*b**2 + 8*b*l + 62*l**5 wrt l.\nAnswer: -12*b**2*l + 1240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 9. Let u = 113.92 + -115. Let x = 3.92 - u. What is the third biggest value in x, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -104107\nAnswer: -416428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6154.\nAnswer: 2, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -41 + (76 + -61 - 76)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-6))\/(-30)*-2*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-5)\/(-325)*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(288) + -1)**2 + 2)*1 + ((0 + sqrt(288) + sqrt(288) - sqrt(288))*-6 + -4)**2)*-2.\nAnswer: -85400 - 4416*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303502 is divided by 78.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92518, -92517, -92516?\nAnswer: -92515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 39919 + 39919.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116*h*u**4 + 7*h*u**3 - 1794*h*u**2 - 3*h*u - 1 wrt u.\nAnswer: -2784*h*u + 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 35, -2\/13, 69, -34?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z + 12*z - 164. Let p = z + 157. Is -8 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*g + 140475 + 36816, 3*x = 3*g + 177321. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 1\/9 (c) 4 (d) 9 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/7749 and 5\/30821094?\nAnswer: 215747658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -91604490, -91604487, -91604484, -91604481, -91604478, -91604475?\n\"Answer: 3*a - 91604493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 18*t - 13*t. What is the third derivative of -14539*d**t + 22*d**3 - 147*d**3 + 14658*d**2 wrt d?\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22977401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = -4*y + 20, 2*v + 4*y = 20. Suppose 1 = -b + 2*a - 1, -5*b - 4*a + 18 = v. Differentiate -4 + 6*g**2 - 4*g**b + 5 with respect to g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -307*b + 20867. Determine f(68).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 27 = -60 + 43 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -42.2. What is the fourth smallest value in -1\/2, n, -2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbrfdfzz. What is prob of picking 2 f and 1 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -451\/8 + 56. Let x = -1 + 4\/3. Let q be (1 + 1)*5\/(-490)*7. What is the second biggest value in x, b, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 4 - -9 - (17 - 9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162413269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j - 5*j + j. Calculate a(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-53700)\/(-2599080))\/((-3)\/((-66)\/20))?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 112953911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 8*i - 3 + 0.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2321 (base 7) to base 10.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/21 and -64\/291.\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8078*i + 8065*i + 255749 = 0. What are the prime factors of i?\nAnswer: 103, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 97*y - 2 + 105*y + 3. Suppose -4*j = -3*l - 6 + 21, j - 1 = -4*l. Is q(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 141846887 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/6*1\/2. Let u(z) = z + 11. Let s be (-90)\/9 + -1*2. Let v be u(s). Do v and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2610\/3306*(1\/(-5))\/(30 - 29)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.93 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = 2*d + 4*d. Let c = -39 + d. What is the remainder when c is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/18 + 580\/(-6)*-1. Solve -30 = 82*l - x*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1568 is divided by 77.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109045807.\nAnswer: 13, 19, 43, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303121 + 10?\nAnswer: -303111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4005 (base 10) to base 12\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*l, 0 = -3*u + 49*l - 48*l + 127129. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (0 + 1)) + -8 + -117 + 119?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -831, -1666, -2501, -3336, -4171?\n\"Answer: -835*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 74 = x + 3*x, -5*x + 90 = -5*i. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 320210 = 74*v. Calculate the greatest common factor of 110 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 638646 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223\/146 - -2\/73. Let k = 6 + -6.4. Which is the closest to 2? (a) 1 (b) k (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 792 and 2814.\nAnswer: 371448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689694.\nAnswer: 2, 3, 71, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 f, and 2 s when four letters picked without replacement from wffxsxwfwsxxxxxswxxw.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 9*p**2 + 10*p - 3. Suppose 4*k = 7*k - 9. Suppose q - 21 = -2*d, k*d - q = 23 + 1. What is the remainder when t(-7) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*h - 2. Let o be 111\/(-21) + h\/7. What is the lowest common multiple of 8 and -3 - (-26 - (2 + o))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2\/3 - 256*y = 0.\nAnswer: 0, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 10*r = -2*n - 17*r - 12, 2*n - 2*r + 17 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-5 + 0)*1\/2. Let f be (-10)\/(-1 - 3\/i). Suppose 0 = 3*m - f*a - 54 - 4911, 0 = 3*a. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 28644 + 9066 = 0. Is (-2)\/(-3)*d - 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -174 in -0.5, 64.7, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*g**2 - 24*g**2 - 92*g**3 - 17*g**2.\nAnswer: -92*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.84 + -289.88?\nAnswer: -237.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqgqqaqqfaqf. What is prob of sequence qf?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u. Let p be ((-20)\/(-15))\/((-2)\/3). Let w be y(p). Suppose g = w + 20. Calculate the remainder when g is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -16. What is the tens digit of w - -40 - 5\/(15\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-54)\/24*8\/(-2). Solve 2 + 16 = -x*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n - 4. Let d be z(5). Let k(o) = 2*o**2 - d*o**2 + 9 + 0*o - 7*o**3 + 0*o + 7*o. Let q(l) = -3*l**3 - 4*l**2 + 3*l + 4. Give 4*k(r) - 9*q(r).\nAnswer: -r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16487370 and -4009.6824.\nAnswer: 16483360.3176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124)\/(-24) + (-50)\/(-60).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 248*q + 7688.\nAnswer: 2*(q - 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1207 + 1201. Sort 4, b, 112.\nAnswer: b, 4, 112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2673 and 11334587.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4*2\/20*(-1)\/(-2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -7*x + 2*x - 2*z, -69*z = 39*x - 42*x + 108 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 99*o + 4497. Calculate the remainder when a(-44) is divided by 117.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4695*m**2 + 1777*m + 5. Let u(n) = -23480*n**2 - 8884*n - 27. Let p(o) = 2*u(o) + 11*v(o). Find the second derivative of p(r) wrt r.\nAnswer: 9370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/14)*b*b**(2\/53))\/(b**(-13)*b*b\/(b**(1\/4)*b)*b) assuming b is positive.\nAnswer: b**(18341\/1484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 9*d**2 + 42786*d + 385071. Give s(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 18136?\nAnswer: 126952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53742 smaller than 53742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -828 = 143*r - 5*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1481.975 plus 175?\nAnswer: -1306.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60877?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = b + f, -3*f = b + 4*b - 506. Suppose 2*n = -o + 35, -3*o - n + 0*n = -b. Calculate the remainder when 192 is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -16. Suppose -5 = 3*s + 3*f + f, -3*s - 3*f = x. Let m be 2\/(-4)*(0 + 8). Which is greater: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1855976, -1855974, -1855972?\n\"Answer: 2*y - 1855978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**4 - 4*k**3 - 2*k**4 - 2*k - 2*k**2 + 3*k**3 to the form l*k**2 + x*k + u*k**4 + c*k**3 + i and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/7497 and 52\/15393399.\nAnswer: 785063349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 + eae?\nAnswer: ec7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 458147164 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 23 = -3*d - 40, -64 = -5*x + 4*d. Calculate the greatest common divisor of x and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4 - 5*s + 4*s + 0*s + 2*s. Let x(h) = 4*h - 11. Calculate 11*c(w) - 4*x(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -1\/17, -6\/5, -2, -82\/3 in descending order.\nAnswer: 34, -1\/17, -6\/5, -2, -82\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/2, 38, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, y: 6, m: 7, e: 1}. Give prob of picking 1 c and 1 m.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*n = 8 + 25, 0 = p + n + 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22747435 divided by 22747435?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 54*k**2 + 162*k. Let x(c) = -2*c. Calculate a(x(g)).\nAnswer: 216*g**2 - 324*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12599613*z - 12599613*z - 121*z**3 - 4771*z**2 + 600*z**3 wrt z?\nAnswer: 2874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20960576891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 7:13 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 1:07 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2948343 is divided by 737009?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010 + -1011000010?\nAnswer: -1011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/(-20))\/(1\/15). Suppose -8*n + c = -5*n. Suppose -3*s + 18 = 2*b - 9, 4*s = 4*b - n. What is the greatest common divisor of b and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.022133602 + -3\nAnswer: -2.977866398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5043\/164*(-1)\/3 and -75\/58.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 9?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -30 - 34. Let w be ((-1)\/((-4)\/l))\/(-2). Find the second derivative of -h**2 + 17*h + 12*h + w*h**2 wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1370*f + 39726. What is a(-29)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3023 is divided by 159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 h, and 1 z when four letters picked without replacement from {p: 1, h: 9, z: 1, e: 1, j: 1, d: 5}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -13 (b) 2\/5 (c) 25 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.273121 to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 11*v**2 - 29*v - 4. Give a(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 1 + 9. Let p = 11 - n. Suppose -1\/2*b + 0 + 1\/2*b**p + 0*b**2 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.7859863 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 32*k**2 - 48*k + 666. What is x(-34)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*t - 367*t - 332*t + (0*t + 2*t - 3*t)*(-5 + 3 + 4) - 4*t + t + t)*(-t**3 + 3*t**3 - t**3).\nAnswer: -724*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10*y - 12. Determine q(-7).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - -19)\/((-11)\/((-165)\/6)). Find the second derivative of 3 - 2 + 25*o - d*o**2 - 7*o + 18*o wrt o.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/284026 and -7\/5638?\nAnswer: 800669294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-13)\/a**(-8\/7) assuming a is positive.\nAnswer: a**(-83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - sqrt(132)*-2)*3)\/(sqrt(1452) - sqrt(1452)*-1 - sqrt(12)) - ((sqrt(1331) + 2)*-2 + 0)**2.\nAnswer: -5340 - 1229*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 3*f + 19. Let k be z(6). Let c be (0\/k - (-2 + -1)) + 27. Let r = 23 + -8. Calculate the greatest common divisor of r and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 4, -25, 2\/1025, 1\/2, -4, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.3727598 millennia?\nAnswer: 37.27598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -941\/66 - -144\/11. Suppose 5*s - 105 + 30 = 0. Let b = s - 16. Is r greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/12)\/(9\/36)*3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 3. Let h be r(-9). Let u(t) = -3*t**2 + 36*t + 4. Let k(x) = -x**2 + 12*x + 1. Let b(j) = -11*k(j) + 4*u(j). What is the units digit of b(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 209 + -209. Sort 32, -5, d.\nAnswer: -5, d, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49655524*f**3 - 10*f**5 + 1851*f**2 + 201*f**4 + 49655524*f**3 wrt f.\nAnswer: -600*f**2 + 4824*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/93 and -8\/21?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 79\/(-10) - 1\/2. Let g = m - -146\/15. Let p = -360 + 717\/2. Which is the third biggest value? (a) -0.3 (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7764532802225 - -1.\nAnswer: -7764532802224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 55\/33*(-6)\/(-10). Let t be (2\/6)\/(8\/(-3)). Which is the biggest value? (a) q (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + 5 - -19) + -2 + -73.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/52342 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3805 - 639. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.72 or 1.62?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 5*z**2 + 2. Let d be i(-5). Suppose 3 = -d*n + 9. What is the second biggest value in n, 4, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x**2 + 2*x**2 - 4*x**2)*(-49 + 74 - 67)*(-4 - 3 + 3 + (2 + 4 - 4)*(0 - 2 + 0))*(-2 + 0 + 3) in the form u*x + g + c*x**2 and give c.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3050\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -539 by 37337.\nAnswer: -539\/37337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g**2. Let f(m) = -m + 5. Let l(t) = 2. Let j(y) = 2*f(y) - 5*l(y). Give n(j(a)).\nAnswer: 44*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 130 divided by -49\nAnswer: -130\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 932\/39144*(-7)\/(-2). Let q(j) be the third derivative of 0 - 36*j**2 - k*j**4 + 0*j + 0*j**3. Let m(v) = v. Give -4*m(c) - 3*q(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 9. Let u be 27*(y\/(-3) + 0). Let t be (-1)\/3 + 21\/u. Solve 5*w - 2*s + 20 = 0, 3*w + 11 + 1 = -t*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7162017283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**3 - 92*u**2 - 29*u - 59. Let t be c(31). Put 54, t, -3, -2 in descending order.\nAnswer: 54, t, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -958, 2\/7, 4 in decreasing order.\nAnswer: 4, 2\/7, -5, -958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*p - 6. Solve 5*u = 5*k + 4 + 6, 4*k + 4 = p*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -10 - (-3 + 0). Let n(t) = 2*t**2 + 5*t - 3. Let j be n(-4). Suppose 5*l - o = j. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -8)\/(-1 + -1). Suppose -13 = -r + s*b, -5*b = -2*r + 34 - 11. What is the remainder when 19 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**4 + j + 1. Suppose -40 + 100 = -5*a. Let l(i) = 2*i**5 - 8*i**4 - 4*i**2 + 10*i + 12. Let r(y) = a*c(y) + l(y). Factor r(n).\nAnswer: 2*n*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10438546871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 538797 - 1353\nAnswer: 537444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 427 = 411 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -80790*h**4 + 242362*h**3\/3 + 969488*h**2\/3 - 969448*h\/3 - 32\/3 = 0. Calculate h.\nAnswer: -2, -4\/121185, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*t + 42*t - 3*t**4 + 5*t**3)*(-3*t - 5*t + 4*t).\nAnswer: 12*t**5 - 20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*l - 56, 0*o + 2*o = 5*l - 82. Let u = 6 + 20. What is the remainder when u is divided by (-2)\/(-9) + 248\/l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082729 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 6*j - 32 = 0, -166528*j = 3*t - 166527*j + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/8 + 717*y**2\/2 + 2859*y\/8 - 2865\/4.\nAnswer: 3*(y - 1)*(y + 2)*(y + 955)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3840*h + 1276*h + 22*h**2 + 1287*h + 1277*h - 24*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/9 + 8\/18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 - a**5 + 0*a**5 - a**5 + 18*a**5 - 6*a**5 + (5*a - a - 5*a)*(-4*a**4 + 2*a**4 + 0*a**4).\nAnswer: 11*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let p = 87 + -83. Which is the nearest to z? (a) -0.2 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 9. Suppose -10*f - 1 = -7*f + 2*r, 0 = 4*f + 4*r + 4. Solve -2*j = 3*h + 10, -4*j + f + 3 = b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170958, 170950, 170930, 170892, 170830?\nAnswer: 170738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 52. Let d(b) = -22*b - 88. Let p be d(-4). Which is smaller: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2284678.\nAnswer: 2, 11, 29, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*((-2 + 7 - 1)*(2 + 2*r - 2) - 6*r + r - r)*(4*r - 6*r + 4*r)*(r + 4*r - 2*r).\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**2*k**4 - f**2*k**2 - 2559*f**2*k - 14*f*k**3 + 3*k**4 - 2*k**3 wrt k.\nAnswer: -72*f**2*k - 84*f + 72*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.76 take away 0.6?\nAnswer: -70.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-30))\/((-30)\/100).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*j**2 + j + j**3 - j to f + d*j**3 + u*j**2 + c*j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 24552 divided by 124\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 12)\/((-2)\/(-7)) + (-50)\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 82 - 98. Let j(f) = -2*f**3 - 8*f**2 - 6*f. Let h be j(-4). What is the greatest common divisor of h and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(1\/4)*j\/j**18)**(8\/3))**(-2\/55) assuming j is positive.\nAnswer: j**(236\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t - 8. Let x be y(-6). Let p = -6 + x. Is 5 a factor of (-1)\/p*20\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1868416 + 2633416. Round v to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 628\/2429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 35 = t - 6*t, 4*t = g + 28. Solve m = -m - 2*w - 14, -4*m = -3*w - t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**2 + t + 3. What is the tens digit of i(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33926 by -2.\nAnswer: -16963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3806122, -3806136, -3806174, -3806248, -3806370?\nAnswer: -3806552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-5))\/(11\/990). Suppose 0*l + 2*l = q. What is the greatest common factor of 72 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 370 - 1110. Let n be (j\/(-3))\/(-5 - 1347\/(-270)). What is n rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -7 - 2) + (-7 - -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 + -17 - 41) + 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -211 - -265. Let u be 4 + (-2)\/((-4)\/f). Calculate the greatest common factor of 279 and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.54 + 74.54. Let k = n - 79. Let i(w) = -w**3 - 6*w**2 + 7*w + 5. Let r be i(-7). Which is the smallest value? (a) k (b) -2\/13 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*i + 109*i + 21*i as b + j*i and give j.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -453*b + 6*b**4 + 2*b**2 + 1 + 453*b to l*b + k + r*b**2 + d*b**4 + t*b**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 m, 1 d, and 1 r when four letters picked without replacement from {z: 1, r: 1, w: 1, l: 1, d: 2, m: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 17. Let t = -33.37 + l. What is t rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 397 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + n**2 - 36. Let p be t(0). Calculate the common denominator of (-41)\/2 + (-6)\/p and -41\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 48 = -52*q + 100*q - 49*q, 932 = q + 55*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/7)\/(14 + (-7539)\/539). What is the greatest common factor of x and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -157.51 * -189.9\nAnswer: 29911.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o + 1. Let v be d(0). Let f = v + -4. Let p(h) = h**3 + 6*h**2 + 4*h - 7. Let u be p(-5). Put u, f, -1 in decreasing order.\nAnswer: -1, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/27*(-60)\/40\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 5:11 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 12:45 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 349530438 to the nearest integer?\nAnswer: 18696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*92\/(-6). Let x = 28 - d. Suppose 26 = 5*n + 6. Solve -5*u + n + 1 = -3*k, u = x*k + 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(6\/4 + -1). Let o be (2 - (2 - 2)) + -7. Let m be (-260)\/(-120) + (-1)\/6. Sort g, m, o in decreasing order.\nAnswer: m, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 1794*l - 3596.\nAnswer: 2*(l - 2)*(l + 899)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*c - 174*c**5 - 20*c**2 + 102*c**5 + 28*c**4 + 118*c**3 + 84*c**2 - 92 + 73*c**5 = 0 for c.\nAnswer: -23, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 400*g**2 + 25*g**2 + 12*g**2 + (g + 2*g + g)*(-3*g + 3*g - g).\nAnswer: 433*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (1 - 0) - -3. Let g be 2\/4*(u + 6). Suppose 2*r - g*r - 3 = 5*s, -4*r = -s - 9. Calculate the smallest common multiple of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31899\/25 or 1277?\nAnswer: 31899\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 - p**4 + 2*p**4 + (-3*p - 2*p**2 + 3*p)*(-11 + 5*p**2 + 11).\nAnswer: -11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-6 - 6) + 26\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -14 + -22 + -22?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 0.2, -0.075?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246849, -493702, -740555, -987408, -1234261, -1481114?\nAnswer: -1727967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4639521617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202745543?\nAnswer: 7, 11, 13, 18413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*z = 5*u + 221*z + 1, 7 = 9*u - z. Suppose 3*y + 28 = -j, 2*y + j + 1 + 19 = 0. Let r = y - -12. Solve d + r*s - 4 = 0, u*d - s - 5 = -6*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 3*d**2 - d - 1. Let s be 54\/15 + 2\/5. Let w be -2 + -2*2\/s. Determine k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3540*b**2*n**2 - 1187479*b**2*n - 19*b**2 + 65*b*n**2 + 7*n**2 wrt n?\nAnswer: -7080*b**2 + 130*b + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -4*w - 66 - 7, w + 4 = -4*m for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5128 bigger than 1953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + x = -4*x, -x = -d - 6. Let l = d + 16. Suppose 5*p + 5 = 5*b, 0*b - b + l = 5*p. Solve 2*t + b = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 5\/8 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129217 + -132052.72. Let p = c + 2789. Let y = -46 - p. Round y to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1413*b + 285372. Give i(202).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -68011, -272040, -612099, -1088194, -1700331, -2448516?\n\"Answer: -j**3 - 68009*j**2 + 5*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131 + 173. Suppose 34*p = g*p + 32. Let k = 25 + -15. Put k, -1, p in increasing order.\nAnswer: p, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380012093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -139246.09 to the nearest 100.\nAnswer: -139200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 6:30 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1666)\/(-1470) - (13\/3 - 3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1672*t - 122153. What is m(73)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3075 = 5*x, -6*x + x = 15. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-25)\/(-75))\/(111\/108*6))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1769738+-26199750\nAnswer: -24430012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 0)*((-28)\/(-20) + 2\/(-5)). Let o be 2 + -1 - (-1 + (-28)\/(-13)). What is the nearest to -2\/3 in y, o, 1\/2, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 163657.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.14, -0.1, -69 in decreasing order.\nAnswer: 0.14, -0.1, -2, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/11 + 6908058\/198 + -6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 6*v**2 + 19*v - 124. What is t(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 12*g**2 - 4*g - 83. Let k = 276 + -288. Is w(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 615 and 515.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 + 558\/5. What is the closest to -4 in 0.1, 1\/11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44829*s + 22427*s + 22403*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**2 - 4*k**3 + 35516*k**4 + 0*k**3 - 35514*k**4 as t + o*k**2 + g*k + r*k**4 + z*k**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6083)\/(-5530)*100\/616.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 9:47 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (223*k**2 + k + k - 218*k**2)*(7405 - 7405 - 59*k).\nAnswer: -295*k**3 - 118*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.87179ml?\nAnswer: 0.00987179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-6))\/((-118)\/(-59))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2 - 11864*h + 8518372 = 0. Calculate h.\nAnswer: 1219, 1747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 40.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 5 + 1 - 4 - 7*l to the form y*l + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -2\/21, -4, 0.027, -0.04?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80747.34*3.\nAnswer: -242242.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -229 - -472. What is the greatest common factor of 27 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 180, 192, 210, 234?\n\"Answer: 3*c**2 + 3*c + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28561637 to two decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10018*v - 127155 = 7423*v for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwv when three letters picked without replacement from {a: 1, l: 1, u: 1, n: 1, v: 2, w: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4672 (base 15) to base 8.\nAnswer: 35155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*g + 5*g = -563, 8 = 4*g. Let y = -109 + f. Solve 3*i - 3 = 3*q, y*q = -5*i - 0*q + 32 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - (-2 + 6) - (-15 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2049989, -1 in increasing order.\nAnswer: -2049989, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 31*h**2. Let t be u(-1). Suppose -7 = -x + w - 0, 5*x - 3*w - t = 0. What is the highest common divisor of 55 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 30. Let m = 31.98 + v. Which is the smallest value? (a) -1 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 9:45 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5.2 (b) -57 (c) -3\/5 (d) -8\/3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 divided by 8926?\nAnswer: -131\/8926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.5 to 0 decimal places.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.087, -20, 11 in increasing order.\nAnswer: -20, 0.087, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 greater than -123\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18491.61 + 18099. Round x to zero dps.\nAnswer: -393","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/2 + 25309*p\/2 + 25311 = 0. Calculate p.\nAnswer: -2, 25311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197571 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**3 - 8*q**2 + 17. Suppose -i + 20 = i - 5*r, -3*r - 11 = -i. List the prime factors of l(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 5*h - 811 = -809, 0*h - 4*h = -5*d - 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 88*z - 4956. Give b(-127).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 24*f - 25. Let l be z(25). Let w(k) = k + 13. Let b be w(-11). Solve l = -b*v - v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*a - 203 - 112 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + p + 12. Let j(i) = -i**2 - i - 12. Let o(c) = 3*j(c) + 2*n(c). Let s be o(4). Solve s = 8*x - 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128076\/(-3003) + -2 + 44 - 3*(-20)\/165\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 + 1)*(4 - 2 - 3)*(0*z - 3*z + 4*z - 2 + 2 + z + 4*z - 3*z + z + (-z - 2*z + 4*z)*(2 + 2 - 3)) in the form y + r*z and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1994450, -1 in decreasing order.\nAnswer: 4, -1, -1994450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(sqrt(3456) + -2*sqrt(3456)*-2)\/(sqrt(72)\/sqrt(54) + sqrt(12)*1*-5).\nAnswer: 1 + 90*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-1 + (-12)\/(-14)). Let c(y) = -4*y - 10. What is the remainder when 170\/(-68) - ((-73)\/2 + 1) is divided by c(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 = -4*j, -14*h = 2*j - 19*h + 25. Suppose j = 14*n + 6*n + 100. Let b(d) = d**2 + 5. Let x(u) = 3*u**2 + u + 11. Determine n*b(v) + 2*x(v).\nAnswer: v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18)*211\/35870*-306.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 175b?\nAnswer: -1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132515142 + 4?\nAnswer: 132515150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 15*k**2 + 6*k + 94. Let j be q(-15). Solve d = -j*u - 2 + 8, -3*u + 4*d = -14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w - 51. Determine p(18).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 13*f = 8*f + 11, -4*a = -2*f + 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 47*p - 2. Let v(o) = 55016*o**2 - 2*o - 2. What is q(v(t))?\nAnswer: 2585752*t**2 - 94*t - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 543*l - 119. Is r(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38317.0049566 - -38317. What is o rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, and 1 h when three letters picked without replacement from pmmymhlsmyph.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.50932 rounded to two dps?\nAnswer: -5.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -349, -2 in ascending order.\nAnswer: -349, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 + 3592\/(-16). Let x = o - -238. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 26*q + 2. Let u(s) = 2180*s**2 + 5*s + 4. Is u(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1951*m - 1822*m + 1603 + 2525 = 0 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4)*(2 - -2). Let g = 11 - a. Suppose -g = -5*t + 1. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + y - 18, -y = 1 - 4. List the prime factors of 3\/(-2 - a) + 19.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 1 - 1)*(3 - 3 + 2) - 10*h - 71 + 71 + (3 - 6 - 2 + (-1 + 4 + 0)*(2 - 1 - 3))*(-2*h - 2*h + 0*h).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1017 divide 1387875743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2*v + 41 - 51, 3*w = -2*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from ggaaaagaggaaa.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by -15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l*r*z - 4*l*r - 2*l*z**5 + l*z**4 + 40*r*z**4 + 10*r*z**2 wrt z.\nAnswer: -120*l*z**2 + 24*l*z + 960*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 5. Let o be u(6). Let j = o + 4. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 63, 141, 247, 363, 471, 553, 591?\n\"Answer: -3*q**3 + 32*q**2 + 3*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -53*c**3 + c**2 - c - 2. List the prime factors of l(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 s when three letters picked without replacement from {g: 3, h: 8, c: 3, s: 3}.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1224\/153)\/((-280)\/12)*385\/(-14)\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 273*s**2 + 782*s + 396. Let f(a) = a**3 + 819*a**2 + 2347*a + 1188. Let b(p) = -2*f(p) + 7*g(p). Let b(u) = 0. Calculate u.\nAnswer: -2, -2\/3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 12*u + 47. Let h be v(-15). Let t(c) = c + 4. Let p(j) = -48*j - 16. Let m(y) = -22*y - 7. Let f(d) = 13*m(d) - 6*p(d). Give h*f(i) - 3*t(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 plus 0.4?\nAnswer: -287.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 125976922821.51.\nAnswer: -125976922816.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*p**6 - 1299*p**5 + 2*p**3 - 12145*p**2 wrt p?\nAnswer: 600*p**3 - 77940*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - r - 11 - 11*r as w*r + s and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**3 + u**3 + 6*u**3 + (67 + 0*u - u - 73)*(6*u**2 - 3*u**2 + 0*u**2) to the form g*u + d + p*u**3 + m*u**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3409052763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 89.25 and 47.\nAnswer: 136.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*x - 17. Let z(d) be the first derivative of -d**3\/3 - 3*d**2\/2 + 3*d + 1. Let j be z(-3). Put 4, j, x in descending order.\nAnswer: 4, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97\/25 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 604*n**4 - 66*n - 455546.\nAnswer: 2416*n**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2803, 2799, 2793, 2785, 2775, 2763?\nAnswer: 2749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 4\/3*m**3 - 2*m**2 + 0*m + 0 - 1\/24*m**4. Is r(4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 + -61. Suppose -770 = -5*q - 2*q. Calculate the greatest common factor of q and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6 + 3 + 31*u + 3 - 37*u. Let j(b) = b + 1. Let i(o) = -o + 2. Let f be i(3). Let c(y) = -6*y - 10. Let t(z) = f*c(z) - 10*j(z). Determine t(w(v)).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10725737?\nAnswer: 11, 29, 33623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmn when three letters picked without replacement from mqnnzbznnuumqnzqnq?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**2. Let l be (-14)\/(-6) - (-8)\/12. Let n(m) be the first derivative of 0*m**2 - 2\/3*m**3 - 7 + 0*m. Calculate l*y(r) + 8*n(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(18)\/((sqrt(108) + (sqrt(108) - sqrt(108)*1))\/sqrt(12)))**2 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*x = 3*s - 1106, 0 = 4*s + 4*x - 1472. Suppose 9*d - 4*z - 361 = 4*d, 5*d - s = -4*z. Suppose 3*f = v - 28, -3*f = -5*v + d + 31. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-1)*-1)\/(2\/6). Is 1\/n - ((-90970)\/(-33))\/(-5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 10*n - 357 = 0. What is the greatest common divisor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -579, -583, -581, -573, -559, -539, -513?\n\"Answer: 3*u**2 - 13*u - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 108795941 - -0.4\nAnswer: 108795941.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16903 + 4937. What is the ten thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i + i)*(0*i - 4*i + 2*i) + i**2 + 3*i - 3*i + i**2 + 11 - 2*i**2 - 10.\nAnswer: -4*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -990\/104677 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176101\/15 - 11748. Which is smaller: s or -7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -388 + 382 + (-80)\/(-13). Which is the fourth biggest value? (a) 2\/5 (b) -8 (c) 204 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {y: 1, r: 4, a: 1, z: 2, q: 2, m: 5}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdmmmtmdtmtdtddd. What is prob of picking 1 p and 1 t?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*a - 23 = 0, 3*n - 2*a + 7*a = 27. Is n at most as big as 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 - 8*b**2 + 6*b - 10. Let h be r(3). Suppose 2264 = h*v - 609. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**4\/12 + l**3\/3 - l**2\/6 - l - 5. Factor j(i).\nAnswer: (i - 1)*(i + 1)*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 688, 1376, 2064, 2752, 3440, 4128?\n\"Answer: 688*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5396 and 144856.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2437, 4876, 7315?\n\"Answer: 2439*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 208, 1 in ascending order.\nAnswer: 1, 2, 6, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - f**2 - 2*f - 1 + 5*f**2 - 5*f**2 to the form b*f + i + x*f**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-256)\/24)\/(2\/6). Let h = g + 51. Calculate the greatest common factor of 95 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399.004 meters in centimeters?\nAnswer: 239900.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 6. Let z(t) = 5*t + 24. Let f(g) = -9*d(g) + 2*z(g). Let p(r) = -2*r - 2*r + 17 + r. What is 11*f(b) + 4*p(b)?\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**2 + 360170*g + 1800725 = 0. What is g?\nAnswer: -72029, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**3\/4 + 45*g**2\/2 + 627*g\/4 - 180 = 0.\nAnswer: -16, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -1 + 23. Calculate the highest common divisor of 88 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, r: 2, t: 1, j: 1, d: 2}. What is prob of sequence ddtj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - f. Suppose 4*v + 1 - 821 = f. Suppose -u - 14 = -v. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 9*y**2 + 30. Let t be u(12). Let v = -289 + t. What are the prime factors of v?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*i - 2 = 0, 2*a - 4*i - 2 = 2. Suppose 4*m - 2*y = -a*y + 80, 0 = 3*y. Suppose d = 5*d - m. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from czczzzzzzzcz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 15 = -m, -8 = -5*j - 2*m + 7. What is the highest common factor of j and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 1.977416?\nAnswer: 0.07909664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4777 is divided by 129?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10100010010111011111010 (base 2) to base 7\nAnswer: -63136331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 1, d: 2, t: 2, p: 1, k: 1}. What is prob of sequence nrpd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 16. Suppose -2*t = -k - 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 f = 310489\/18 - 17244. Calculate the common denominator of -15\/8 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-279)*(-90333)\/100370?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -542 - -613. Solve o - 21 = 10*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-21))\/((-10)\/15). Let z = -245 + 2203\/9. What is the second smallest value in 3, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 491\/39000 + -115\/312. What is the common denominator of m and -23\/7950?\nAnswer: 39750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 100, 455, 898, 1471, 2216, 3175, 4390, 5903?\n\"Answer: 7*u**3 + 2*u**2 + 300*u - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -9. Let d(o) = o. Let a = 17 + -15. Let p(u) = -2*u + 2. Let g(s) = a*d(s) - p(s). Let k(f) = 7*f - 4. Determine y*g(i) - 3*k(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d. Let r(j) be the third derivative of j**4\/8 + 8*j**2. Give 7*f(u) + 5*r(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -578 + 582. Solve 5*q + 11 = u*h, q - 23 + 26 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035858 rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12869266.\nAnswer: 2, 37, 173909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 5862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1990006752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 43. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 11:14 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-7)*(-8)\/1*(-9198)\/2628?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 2\/155, -1\/2 in decreasing order.\nAnswer: 2, 2\/155, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/2 - 281*m\/2 = 0. What is m?\nAnswer: -281, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p. Suppose 2*t + 0*q = -q, -q - 6 = -t. Let o be (-72)\/(-34) + t\/(-17). Suppose -2*r = o*v - 8, 0 = -r + 4*v - 3*v - 6. Calculate m(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9588 at least 8868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at least as big as -6859\/785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/7 (b) -1\/40 (c) 1\/8 (d) 1\/4 (e) 1.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159502 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2480 = 2*m, 2*m - 3*m + 1245 = 2*n. Calculate the highest common factor of 130 and m.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1755, -1, 859 in descending order.\nAnswer: 1755, 859, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 < 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77859518.\nAnswer: 2, 11, 919, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -5*h + 4*h + 3, -2*h - 5*r + 5 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*i + 140. Let p(y) = 3*y**2 + 24*y + 57. Suppose 0*z - 5*z = 5*q + 5, 4*z = -3*q - 1. What is the remainder when i is divided by p(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -3. Let q be ((-3 - -4) + h)*1. Let i(k) = k + 12. List the prime factors of i(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376415.441 rounded to the nearest 10000?\nAnswer: 1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p + 9*p - 26*p - 11*p**3.\nAnswer: -11*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(847) + -3 + sqrt(847) + -1 - sqrt(847) - sqrt(847)) + 1 + -1 + sqrt(847))**2.\nAnswer: -88*sqrt(7) + 863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(44) + 3.\nAnswer: -2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) 7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*c = -238, 1 = 5*c + 6. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116.88 - 0.3\nAnswer: 116.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1. Let q be 18\/(-45)*-281 - 4\/10. Let a = q - 116. Let f(x) = -3*x - 2. What is a*r(y) - f(y)?\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/156401, 0.5, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4)*1244094\/153*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(13 + 18 - 25)*(3*p + 0*p - 5*p).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 5*c + 25)*(0*c + 0*c + 2*c) + c**2 - c + c.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -809\/3 - -22625\/84. What is the common denominator of a and 21\/82?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from pppppppdppdphphphp.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -636 + 702 + g**3 + 5*g - 5*g + 6*g**2 in the form u*g**3 + l*g + q*g**2 + i and give i.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.07 - 0.07. Let i be (-4 + (-4)\/1)*6\/(-4). Let x be 12\/(-40) - (-2)\/i. Which is the closest to -1? (a) x (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106412 (base 7) to base 3\nAnswer: 222011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/6))**(-1\/32))**(2\/59)\/(k*k**9*k\/(k**(-1\/9)\/k*k))**2 assuming k is positive.\nAnswer: k**(-377615\/16992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22*(-30)\/(-4455))\/(((-6)\/(-2))\/9).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 74*w**2 - 152*w - 589. Determine l(-72).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 684\/1881*((-1)\/(-2))\/((-4)\/20).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -61, 0.2 in descending order.\nAnswer: 0.2, -1, -4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -9. Let r be -3*(100\/(-12))\/5. Let n = -5 + 7. Solve a + i*a + 20 = -r*m, n*a = -3*m - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 11:21 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -54301886, -54301885, -54301884, -54301883?\n\"Answer: c - 54301887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -648806371\/3645 - -177999. Let x = -300329\/51030 - h. Let z = 40\/7 + x. Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 11*p - 3. Let a be o(-5). Suppose 50 - a = g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*v**2 - 1126*v - v**2 + 7628*v + 14332*v**4 - 3808*v wrt v?\nAnswer: 343968*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 0*d = -468. Let p = 141 + d. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 120*w. Let i(s) = 7*s. Let y(r) = -35*i(r) + 2*t(r). Let n(z) be the second derivative of -z**4\/6 + 4*z. Give n(y(k)).\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/13158 and -50\/33.\nAnswer: 144738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2816\/1355875 or -1?\nAnswer: -2816\/1355875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 60*x**3 + 947*x**2 - 5*x + 15. Let s(n) = 58*n**3 + 946*n**2 - 6*n + 18. Let v(h) = 6*b(h) - 5*s(h). Find the third derivative of v(u) wrt u.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 8 - 18 = 0. Suppose 2*b + d = -3*h, 10*b - 6*b = 2*h - 20. Solve 4*x + 4*t - 16 = h, -4*x + 24 - 8 = -4*t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-21))\/((-2)\/4). Put 4, 3\/7, n in increasing order.\nAnswer: n, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 251, 387, 523, 659?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11479998 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49723, 49678, 49601, 49492, 49351, 49178?\n\"Answer: -16*i**2 + 3*i + 49736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14040?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 6*j**2 + 2*j - 12. Let s be c(6). Solve s*m = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -4 + (-1 - 11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6770 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2952 divided by 5\nAnswer: -2952\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -316*x**5 - 39*x**2 + 20916*x wrt x?\nAnswer: -6320*x**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 5*t**2 - t - 3. Let m be n(-5). Suppose -25 = -m*v - 3*v. Let h(y) be the first derivative of -y**3\/3 + 2*y**2 - y + 2. Give h(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 4*s + 11*s + 10*s**3 + 229*s + 4*s - 241*s.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 33*s**2 + 482*s - 182. What is w(-15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 13*p. Let q(z) = 8895*z. What is d(q(f))?\nAnswer: 115635*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/144 and -119\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637398471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478 - 542 = 8*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/4)\/(1\/3). Let w = -48.4 + 48. What is the closest to 0.3 in w, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + ((-1562)\/(-182) - 590\/413)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19081 (base 10) in base 2?\nAnswer: -100101010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (-13 + 6)) + 15 + -17?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34 - 7769420\nAnswer: -7769386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -122.1 and -362.3.\nAnswer: 44236.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2534 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3820840 divided by 118.\nAnswer: -32380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5336992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -690.\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**6\/6 + 3*a**5\/5 + 9*a**4\/4 + 5*a**3\/3 + 18. What is u in t(u) = 0?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b**3 + 3*b**3 - b**3)*(10*b - 75*b - 4 + 24*b) to the form c*b**3 + n*b**2 + k*b**4 + y + j*b and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 10 = r. Let k = r + 12. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**3\/2 + 70215*k**2 + 561792*k + 1123632 = 0. Calculate k.\nAnswer: -4, 46818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*u = -1999, -4*i - 8*u + 1987 = -7*u. List the prime factors of i.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 + 19*p**2 - 70268322 - p**3 + 70268322 + 4*p**2 - 23*p**2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 27\/34 (b) 4 (c) 11 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.5 and 3.428.\nAnswer: 1.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 - 4998454*t\/9 - 4998452\/9.\nAnswer: -2*(t + 1)*(t + 2499226)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1 = -13. Let p be (0 + g - 2)\/(-1). What is the third derivative of -10*k**2 + 3*k**2 + 7*k**p + 12*k**5 wrt k?\nAnswer: 1140*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 175340 and 12?\nAnswer: 526020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228888 is divided by 67?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 1233089.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/48919 and -32\/6461?\nAnswer: 342433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**4 - 369*p**3 + 10773*p**2 + 35721*p = 0. What is p?\nAnswer: -3, 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1*2\/10*(-128630)\/1354\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*w + 50 = 17*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -27*c**2 - 1. Let g be s(-1). List the prime factors of 2\/8 - 497\/g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 408351.3cm?\nAnswer: 4083513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*f = 43*t - 39*t - 443, 3*t + 57 = -5*f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 5:29 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*a + a - 2*a)*(20*a**3 - 62*a**3 + 28*a**3) in the form v*a + h*a**3 + t + c*a**2 + g*a**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43102223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 3:06 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2797, -12011, -27641, -49687, -78149, -113027, -154321?\n\"Answer: -3208*k**2 + 410*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 152. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -284, 0.03, 0.5, -80 in decreasing order.\nAnswer: 0.5, 0.03, -80, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 1056 = 47*o for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 188 + -136. Suppose t = 8*j + 12. Solve -4*m = j*x - 2, 4*x - 2*m + 20 = 2*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/7 + 2\/7*j**3 - 2*j + 4\/7*j**2 = 0 for j.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 0 (b) -1\/7 (c) 0.128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/(-522) + 0 - 1. Let s = 5156\/29 + -178. Let m = s - f. What is the closest to -2\/7 in 3, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828645583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 433754 - 81*h**2 + 433754 as i*h + s + j*h**2 and give j.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7536)\/2669*272\/24?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23818419 is divided by 330.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 447 = -0*r. Suppose -r = -3*o + 31. Suppose 3*v - o = v + 2*u, 2*u = 4*v - 122. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -8 + -1 + -6 + -2 + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5*x + 818 - 787, -126 = -5*s - 4*x for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40433 + 40451.993. Let l = 8 - 27. Let j = l + p. What is j rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -20. Let r = -14 - 0. Is b\/r + 2570\/70 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -66058, -131371, -196688, -262009, -327334?\n\"Answer: -2*y**2 - 65307*y - 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 + 2*r**3 + r**3 + (3*r**2 - r**2 + 0*r**2)*(3 - 2*r - 3) + 4*r**3 - r**3 - 2*r**3 + 6*r**3 - 6 + 6.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 3*j - 3, j - 40438 = -5*k - 40441 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 93829 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48155 and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 422311 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**2\/2 + 6*u + 5. What is the units digit of x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + z - 122, 56 = -5*d + 5*z - 54. Let g = 76 + d. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b + 1. Let m be 2 + 102\/(-30) + 2\/5. Let l be c(m). Sort -2, -22, l in ascending order.\nAnswer: -22, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**6)\/h*h**(-3\/4))**(-46)\/(((h\/(h*h**1*h))\/h)\/(h*h**(2\/9)*h)*((h\/(h*h**(-6)))\/h)\/(h**(-6)\/h)) assuming h is positive.\nAnswer: h**(-5297\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -7*b + 4*b - 2*n, -3*b + 5*n - 12 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 - 13. Is (2 - z\/9)*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3*v = -11, 5*u - 8*u = -4*v - 28 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -2, -10, -2\/11 in increasing order.\nAnswer: -10, -2, -2\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 3*b - 2 + 1 + 11 - 7. Let c be s(2). Solve 5*t + 5 = -c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 - 8*l + 16. Let t be b(2). Let s(h) = -h**3 + 22*h**2 - 43*h + 97. What is the remainder when 146 is divided by s(t)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 33 + 4*c - 23.\nAnswer: 5*c + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17737 - 17738. Let b = 0 + 0.1. Let n = 228 - 2050\/9. What is the nearest to b in n, -3, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 451, 23, 2, 4, 6, 0 in ascending order.\nAnswer: -3, 0, 2, 4, 6, 23, 451","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j**4 + 2*j**2 + 2*j**4 + 5*j**4 + (j**4 + 0*j**4 + j**4)*(2 - 2 + 1) + 2*j**4 + 3*j**4 - 4*j**4.\nAnswer: 4*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**3 + 4*x**2 - 4*x**2)*(-27 + 45 - 26) to the form l*x**2 + o + f*x + p*x**3 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5759*r + 2*m = -5757*r - 6, -4*r + 3*m + 13 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0034649 to 5 decimal places.\nAnswer: -0.00346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 471792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 125.2, 2, -4.4, -0.4, 3 in descending order.\nAnswer: 125.2, 3, 2, -0.4, -4.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + m**2 + m. Let x(g) = g**4 + 13*g**3 + 4*g**2 - 11*g - 1. Let c(w) = -4*k(w) + x(w). What is the second derivative of c(f) wrt f?\nAnswer: 12*f**2 + 102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -211\/840 and -149\/156660.\nAnswer: 313320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 121119630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2518124?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 25*w**2 + 2*w + 2. Let x(r) = -r**3 - 49*r**2 - 5*r - 5. Determine -5*a(z) - 2*x(z).\nAnswer: -3*z**3 - 27*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) -245\/3 (c) -1 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868967.\nAnswer: 11, 197, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/x)**40*x**5*x\/x**(1\/4) assuming x is positive.\nAnswer: x**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7d7 + -1?\nAnswer: 7d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -348 (base 9) to base 13.\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 5*z**2 - 2*z. Let a be p(6). Let y = -24 + a. Suppose 3*r + 4*b - 86 - 33 = y, b + 160 = 5*r. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 50744, 49049, 46226, 42275?\n\"Answer: -564*w**2 - 3*w + 51311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 2*b**4 + b**3\/3 - b**2\/2 - b - 4. Let w be m(-1). Let c(p) = -p - 8. Let y be c(w). Put 0.1, -3, y in decreasing order.\nAnswer: 0.1, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4 (b) 0.3 (c) -3 (d) -201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f - 15 = 0. Suppose -19 - 56 = -f*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -180.7433 to one decimal place.\nAnswer: -180.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, -2, -0.2, 0.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.2. Let p = 55 - 54.9. Which is the closest to p? (a) d (b) -0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.726346 kilograms to nanograms.\nAnswer: 8726346000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + o. Let g be h(-1). Let k be 12\/9*g\/(-2). Solve k = v - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3))\/((4\/72)\/(-1)). What is the lowest common multiple of 16 and u\/((-10)\/8 + 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n + 52 = -20*n. Suppose n*x + 54 = 66. Which is the second smallest value? (a) -2 (b) 2 (c) x (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/(-105)*(-3)\/10)\/(((-2112)\/(-2090))\/48)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(644\/84 - 8).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110000110 (base 2) in base 11?\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 143867\/(-13489)) + (-4)\/(-14)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3561*h**4\/7 + 3582*h**3\/7 - 3540*h**2\/7 - 3582*h\/7 - 3 = 0. Calculate h.\nAnswer: -1, -7\/1187, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/2, 2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -2255\nAnswer: -6765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 17*i - 100. What is c(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t - 1. Let w(o) = -7*o + 3. Let f(v) = -5*c(v) - 2*w(v). Let d(j) = -2*j - 3. Determine d(z) - 3*f(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 9:45 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i - 102*i + i.\nAnswer: -88*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -31.9, -9\/43, 1\/6?\nAnswer: -9\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95*c*t - 26053*c - 2300801*t wrt c.\nAnswer: 95*t - 26053","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -12151 and -155.\nAnswer: -12306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26629, -54184, -81739?\nAnswer: -109294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-25) + (456\/(-15) - -1). Let p = b - -29. What is the nearest to -1 in 2, p, 10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4054 is divided by 658?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 209543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 46, -5, -4, -7 in decreasing order.\nAnswer: 46, 5, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 9:33 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (392\/126)\/28 - 182\/18\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*-3 - (0 - 0). Let w be 13\/24 - m\/(-9). Let l = 3.94 - -0.06. Which is the third biggest value? (a) 2 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-438)\/(-18) + (-2)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -5) + 12 + (11 - 29).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*w + 0*w = 22, 5*i = w - 44. What is the second biggest value in i, 1\/5, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 962893.993 to the nearest ten thousand.\nAnswer: 960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 180.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 2070739095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -13) + (138 - 140) + (30 - 3).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8481 + 5?\nAnswer: 8486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 1)*(2 + -9). Let o = w - -24. Let f be 4\/(8\/o)*1. Which is bigger: 4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06738701398 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 803.2644 milligrams?\nAnswer: 0.0008032644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 18*g**2. Let u(m) = -9*m. Give u(o(s)).\nAnswer: -162*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, e: 6, m: 3, n: 4}. Give prob of picking 2 e.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-z - 3*z + 2*z) + (6*z - 4*z - 4*z + 2*z - 2*z - z + (z + 0*z + z)*(0 + 1 - 2))*(0 + 1 + 1).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -647937, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**6\/280 - l**5\/5 - 142*l**2. Find o, given that k(o) = 0.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.04012+-4\nAnswer: 2.04012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.1, 4.4, -5, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 6*u - 90*u**3 + 96*u**3 - 4*u - 4 in the form b + w*u + q*u**3 + x*u**2 and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + -3 + (2 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/6 and -18\/41?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1359, -3058, -4757?\n\"Answer: -1699*r + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/45 and 46\/585951.\nAnswer: 8789265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 770810*c**3 + c - 770806*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3438, 1, 9 in decreasing order.\nAnswer: 3438, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.551 rounded to 2 dps?\nAnswer: -1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-1*-5 + 1*sqrt(204)*-6)\/(4*2*sqrt(300))*4)**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 52652468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/10 - -2 - 2\/4. Let a be (3 - x)*((-66)\/18 + 4). Solve -3*b - 3*v = 6, 2*b - a = 4*b + 3*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/((-20)\/(-30)). Which is the biggest value? (a) 2\/11 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(-4)\/(-7)*(-392)\/(-24)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 11.5804\nAnswer: -0.347412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3528*d**5*x + 4*d**5 - d**2*x - 6*d**2 - 3*d + 14*x wrt d?\nAnswer: 211680*d**2*x + 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**5 + 8931*k**4*l*t**2 + 2*k*l*t + 31*k*t - 449*l*t**2 + l*t wrt k?\nAnswer: 60*k**3 + 107172*k**2*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (1 + -2)*22. Let d = -8 + s. Let a = 1 + 0. Solve u = a + 4, 2*k = 2*u - d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 + 2*a**3 + 0*a**3)*(-6 + a**2 + 6) - 1 - 70*a**5 + 16*a**2 + 135*a**5 - 68*a**5.\nAnswer: -4*a**5 + 16*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.35925 * -10\nAnswer: 3.5925","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r - 10. Let w(f) = -6*f + 21. Give -7*g(i) - 4*w(i).\nAnswer: -4*i - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 984 = 2*y + 235, 740 = 2*y - 4*m. Let k = -373 + y. What is the remainder when 3 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**8\/6720 + g**7\/168 - 11*g**6\/240 + 11*g**5\/20 - 46*g**2. Let i(h) be the third derivative of m(h). Factor i(l).\nAnswer: 3*(l - 1)*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0 = 4. Let u = -3 + 5. Suppose -d*j + u = -j. What is the greatest common factor of 5 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + (6 - -3 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -14*h - 4. Let t be v(4). Let w = t + 94. Suppose 2*d = 4*l - w - 54, -4*l + 78 = 3*d. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 13*z**2 - 12*z - 2. Let b be u(12). Let l be b\/25*-5*5. What is the second derivative of -4*g**l - g**2 + 10*g + 5*g**2 + 5*g**4 wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104652\/25 + -8371\/2. What is the common denominator of -143\/60 and u?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -19.\nAnswer: -19, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*n - n**3 - 3*n**2 + 4*n**2 - 15*n to b*n + k*n**2 + g*n**3 + w and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2. Let a(f) = 18*f**2 - 10*f**2 - 16*f**2. Determine a(o(j)).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -21, 0 in decreasing order.\nAnswer: 2, 1, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)\/i**1)**(1\/19) assuming i is positive.\nAnswer: i**(-2\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 i, and 1 w when three letters picked without replacement from {i: 2, w: 5, f: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 20*s**2 - s - 23. Let u be i(-20). What are the prime factors of (-3 + (-37 - u))*-5?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13707317 to the power of 1\/2, to the nearest integer?\nAnswer: 3702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 1. Let z be m(-3). Suppose z*g - 2*g = 0. Suppose g = 4*n + 2*i - 0*i - 26, 4*n = i + 17. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ypyyypo.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -13.0581.\nAnswer: -26.1162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -3*c - 11. Is 22 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 975290836?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*23541\/2478*(-2)\/(-5)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2736)*-5 + -5.\nAnswer: -120*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(0 - 3 - (-21)\/9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*h**5 + 17*h**5 + 97 + 14*h**5 - h**4 + 2*h**5 + h**4 + (0*h**4 - h**4 - h**4)*(-h - h + 4*h) - 3*h**5 + h**5 + 5*h**5.\nAnswer: 2*h**5 + 97","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 383\/2 - 186. What is the common denominator of 106\/(-2)*(-4 + 45\/10) and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 124993 or 124990?\nAnswer: 124993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 93224.\nAnswer: 93224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205.1908 decades to millennia.\nAnswer: 2.051908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42346606*n**4 - 171363934 wrt n.\nAnswer: 169386424*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -3\/7 (c) -2\/5 (d) -167 (e) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**7*k**(2\/5)*k*(k\/(k**(-2\/19)\/k))\/(((k**(-5\/4)\/k)\/k)\/k)*k*k**6*k**(-1\/8)*(k*k*(k\/k**(2\/7))\/k*k)\/k**(-2) assuming k is positive.\nAnswer: k**(150793\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 850.3248 decades in months?\nAnswer: 102038.976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 40 = 8. What is the greatest common divisor of 72 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4137 and 4143 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*m**4\/3 - 5000*m**3\/3 + 111779*m**2\/2 - 3738559*m\/6 + 5106230\/3 = 0. What is m?\nAnswer: 4, 149\/8, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = f + 4*f - 35, 4*f = 3*c - 3. Suppose -5*s - 5*p = -3*s, f*s - 7 = -4*p. Let d(q) = q**2 - 3*q - 5. What is d(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -130 + 119 - (-2 - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 3\/20*o**4 + 8\/5*o**2 + 1\/100*o**5 + 4\/5*o**3 + 0 + 6*o. Factor y(k).\nAnswer: (k + 1)*(k + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1009 - -1020. Let y(o) be the third derivative of 4\/3*o**3 - 1\/3*o**4 + 4*o**2 + 0 + 0*o. Let l(z) = 3*z - 3. What is c*l(i) + 4*y(i)?\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from {m: 6, q: 1, t: 4, f: 6}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1172.3 times 1.4\nAnswer: 1641.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-14)*(11\/(-4) - -3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202, 0, -7, -1, 3, -5 in descending order.\nAnswer: 3, 0, -1, -5, -7, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 138572113 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3351700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25230 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 134\/4 + 44\/(-8) + 5. Calculate the highest common factor of a and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1475\/2655*(-2)\/5.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -10, -20, -32, -46, -62?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 12 = 36 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18648730 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40675344 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 171377 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-9)\/27)\/1)\/(77\/1). Which is the closest to 0.1? (a) 2 (b) -1 (c) 0 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 10:52 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -8806 and -1.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r - 25. Calculate y(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 24 + 62 + 5*z + 30 - 116. Let v(y) = -3*y. Calculate v(b(a)).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 352\/31, -1, 94\/9 in descending order.\nAnswer: 352\/31, 94\/9, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 0)**2 - sqrt(9)\/sqrt(3)*-4) + 2*(1 + sqrt(432)).\nAnswer: 28*sqrt(3) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -772, -1545, -2318?\n\"Answer: -773*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 104, 8, -1554, -2, 3, 5 in decreasing order.\nAnswer: 104, 8, 5, 3, -2, -3, -1554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*w + 146, -r + 3*w - 10 = 14. What is r rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 7*f**2 - 4*f + 13. Let v be n(5). Let g = -32 - v. What is the remainder when g is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46197, 93639, 141081, 188523?\nAnswer: 235965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 40 + 23. Solve -2*q + l = 3*v + q, 6 = v + 4*q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3*y**2 + 62002*k**3 - 2*k**2 + 317131*k*y**2 + 13*k*y - 1 wrt y.\nAnswer: 4*k**3 + 634262*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 980.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 95876, -4, -2 in increasing order.\nAnswer: -4, -2, 4, 95876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and -215.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a meter in millimeters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/246834 and -163\/1386.\nAnswer: 2715174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(2\/13))**(5\/22) assuming y is positive.\nAnswer: y**(60\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 2984942?\nAnswer: 95518144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 10*i**2 - 11*i + 6. Let r be p(-9). Let s = -28 - -49. Calculate the remainder when s is divided by (r\/(-14))\/((-10)\/35).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.018 times -32\nAnswer: 0.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27885136.\nAnswer: 2, 127, 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g - 5*y = -4885, 2*y = -g + 977. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 12:54 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.55461 nanometers in micrometers?\nAnswer: 0.01855461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 200721 divided by -66907\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49*(-10)\/420*(-1)\/((-10)\/(-60)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 8\/4 + 101. What is the highest common divisor of 21 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(119))\/sqrt(7)*5 + -2.\nAnswer: -5*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 43, 101, 183, 289, 419, 573?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.041 + 0.041. What is the smallest value in 2, -1\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/3)\/(((-1044)\/8)\/9)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19361083*n**4 + n - 4536956?\nAnswer: 232332996*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43890?\nAnswer: 2, 3, 5, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 - 1. Let h be q(-1). Let k = h + -3. Let a(f) = -9*f - 2. Let s(n) = -n. Let d(y) = k*a(y) + 6*s(y). Give d(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + 2*a)*(6*a - 2*a + 4 - 7*a)*(11 + 15 - 8)*(1 - 2*a - 1)*(14*a + 17*a - 15*a).\nAnswer: 3456*a**4 - 4608*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 14. Let u be f(-13). Let q(j) = -3*j**2 - 1 + 854*j - 1706*j + 850*j. Give q(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 14*a - 79. Let w(b) = -2*b**2 - 12*b - 79. Give -6*g(p) + 7*w(p).\nAnswer: -2*p**2 - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -71\/5? (a) -4 (b) -3\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*q + 69, 0*f - q + 28 = -2*f. Let s be (-3)\/18*f\/5. Factor -s*m + 1\/4*m**2 + 1\/4.\nAnswer: (m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 63*i**3 + 7*i**2. Let r(j) = -42*j**3 - 5*j**2. What is 5*g(s) + 7*r(s)?\nAnswer: 21*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 280\/9*d - 94\/9 + 2\/3*d**2 = 0?\nAnswer: -47, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 624 = -2*k - 2*k, 4*d - 3*k = 839. Let m = d - 85. What are the prime factors of m?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*y**2 + 27*y**2 + 29*y**2 + 25*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, r: 6}. What is prob of picking 2 p?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 8 + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -113100032 (base 4) to base 14\nAnswer: -269d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0*(0 - -9)\/9 + 85919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 814\/(-7) - 8\/(-28). Let a = f - -149. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 9. Suppose m - 4*c + 3*c = 3, -4*c = -b*m + 2. Suppose 4*k - 81 = 5*u, m*k + 2*u = -0*k + 60. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05 and -67312192765?\nAnswer: 67312192764.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1212068*k**5*y - 12*k**3*y**3 + k**2*y**3 - 2*k**2*y + 3976*y**3 + 375*y**2 + y wrt k?\nAnswer: -72724080*k**2*y - 72*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13588 divided by -380.\nAnswer: 3397\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6616 and 712.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 76. Calculate the remainder when s(-25) is divided by (-8*6\/168)\/((-2)\/70).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**4 - 9*m**3 - m**2 + 9*m + 5. Let g(f) = -f**3 + f**2 + f. Let c(v) = -g(v) - i(v). Suppose c(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -19\/2, 9, -2 in ascending order.\nAnswer: -19\/2, -2, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p - 32*p - 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13210266 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 20 - 28 = 5*h, h = 5*j - 18. Suppose 4*o = 8*o + 12, -5*o - 18 = -y. Let u = y - h. What is the remainder when 25 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p - 2. Let n be i(-4). Solve -5*s + n = -4*g - 2, 4*g - 4 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*l = 28*l - 111*l + 15658886. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -1157\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.001 - -0.401. Let h = 98 - 93.25. Let x = h - 0.75. Which is the smallest value? (a) -0.3 (b) t (c) -0.5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 494*o + 1310. Let z be i(3). Calculate the highest common divisor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46.69 + 46.49. What is the nearest to 1 in -0.3, k, 4, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7, -5, -3, -1\/4, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 + 7*j + 1. Let m(n) = -2*n**2 + n. Give -10*m(d) + 2*w(d).\nAnswer: 14*d**2 + 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/30)\/((45\/18)\/5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14352, 113443, 382406, 906177, 1769692?\nAnswer: 3057887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s. Suppose 6 = -s*l + 2*l. Factor -1\/4*i**4 - 1\/4*i**2 + 1\/2*i**l + 0 + 0*i.\nAnswer: -i**2*(i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 461 (base 11) to base 7\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -22. Let u(q) = q**2 + 10*q - 6. What is u(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-8)\/(-42)*14854\/(-131564)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.038 + -0.238. What is the closest to -0.2 in c, 0, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7076 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g + 0*g**5 - 1\/90*g**6 + 0*g**2 + 0*g**3 + 1\/36*g**4 - 1. Let q(u) be the first derivative of k(u). Factor q(a).\nAnswer: -a**2*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1655 * 0.04732.\nAnswer: 78.3146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66363.5 milligrams to nanograms.\nAnswer: 66363500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216950 is divided by 43374?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + -4*((sqrt(2156) + 2)**2 + sqrt(2156))).\nAnswer: -51858 - 1680*sqrt(11)","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 {n: 5, o: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 60 - 9. Let g = q - 1. Let w = -12 + g. Solve 0*u = 4*n - 3*u + 2, w = -4*n - u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = 5*u, -3*u + 2*w + 6 = 3*w. Let d be (-6 - -6)*(0 - u). Find the third derivative of -6*p**2 - p**6 + 2*p**6 + d*p**6 wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 1, -56\/13 in increasing order.\nAnswer: -5, -56\/13, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 8, h: 1, w: 4, d: 1}. What is prob of sequence jh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**5\/30 - 3*f**4\/8 - 20*f**2 - 68*f. Let q(u) be the first derivative of z(u). Let t(c) = c. Give q(y) + 6*t(y).\nAnswer: 2*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, 1\/4, -17, 34.8, 4?\nAnswer: 34.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -133.3, -0.5, -46, 138, 0?\nAnswer: -133.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 12:15 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-9)\/(-6))\/((-14)\/28).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-52) + (-3 - 11904\/(-2223)). Let x = -3\/19 - f. Suppose 2*d + d + 28 = -4*t, 2*t + 8 = 0. Which is greater: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*b - 1120 = -202*b + 96*b for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 5:53 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1647 divide 26679753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 7 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + o = -1, 5*o = -2*z - 5 - 0. Let g = -14 + 24. Solve z = -4*u - 10 - g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-24)*f*f**10*(f*f\/((f\/((f*f**(-23))\/f))\/f)*f)**9 assuming f is positive.\nAnswer: f**(-193)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(-5*-1*sqrt(63))\/sqrt(9) + (sqrt(7) + sqrt(28) + -5 - (3*sqrt(35))\/sqrt(5)))*2.\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7035.554 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-4))\/((-102)\/(-884)*13)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -607\/12 - -4273\/84. What is the third smallest value in i, -2, -343?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16536 = -651*p - 17187 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 - 45 = 4*c. Suppose 2*u - y - 222 = 0, -u = 4*y - 0*y - 102. Suppose 0 = -5*m - 6*m + u. What is the remainder when c is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(1\/5))*o)\/o)\/((o**(2\/45)*o)\/o) assuming o is positive.\nAnswer: o**(7\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544297*y = -544440*y + 15015 for y.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + 12?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g + 3*g - 70*g**2 - 1 + 90*g**2 as z*g + o*g**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r**2 - 267*r + 6*r**2 - 6*r**2 + 132 + 6*r**2 + 0*r**2 = 0 for r.\nAnswer: 1\/2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**5\/105 + h**4\/21 + 16*h**3\/21 - 5*h**2. Factor m(f).\nAnswer: -4*(f - 4)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, p: 2}. What is prob of sequence ypyp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33566, 67133, 100698, 134261, 167822, 201381?\nAnswer: 234938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Suppose -2*j = v*g + 15 - 69, j + 3 = 5*g. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/48)\/(24\/2200*-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*l - 30, -h + l + l + 25 = 0. List the prime factors of 6\/h + 63\/5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (5 - (-11)\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (101 - -5) - (0 - (-15 + 6)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 836.8904 micrometers to nanometers.\nAnswer: 836890.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1934 = -6*b - 176. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1069, 1067, 1065?\n\"Answer: -2*c + 1071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 70.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3993 + 54.7287. Let f = n - 4.638. Let z = f - 0.29. What is z rounded to zero dps?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = w + 60. Calculate the remainder when (-6)\/60 + 59081\/110 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l**2 - l - 10. Let c(z) = z**2 - z - 1. Let i(t) = -4*c(t) + h(t). Factor i(g).\nAnswer: 3*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (1 - 4) + -19 + 29 + -4\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2*r - 2*r**3 + 0*r**3 + 0*r**3 + 4*r**3 - 6*r**3 + (0*r**2 + 4*r**2 + r**2)*(-4 + 2*r + 4) + r**3 - r**3 + 2*r**3)*(-4*r + 5*r + 6*r).\nAnswer: 56*r**4 - 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(-693)\/42 + 5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/(-148)*3\/2*-6?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 7 = 32. Suppose -z = -3*l + 33, m*l - 6*z = -z + 45. Solve -5*s + 3 = -l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 7*t**2 + 4*t + 7. What are the prime factors of h(7)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = 13*g - 5. Let x(o) = -o**2 - 9*o - 14. Calculate the least common multiple of 8 and x(g).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2429111 bigger than -2429113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {e: 4, s: 7}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1700.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b - 63450090 = -4*a, -3*b - 5*a = -38070054. Let k be (0 - 4\/6) + b\/27. Round k to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31, 36, 51, 82, 135, 216, 331?\n\"Answer: t**3 - t**2 + t + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1854 is divided by 377.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*g - g + 15, 0 = -k + 3*g + 1. Suppose -26 = -k*b - 14. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.942312786 to two decimal places.\nAnswer: 11.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y - 8 = -36*y. Let n(t) = -4*t**3 - t**2 + t - 2. Determine n(y).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -9673.346?\nAnswer: -9673.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -749 (base 13) in base 12?\nAnswer: -878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 19 = -30. Suppose -7*u = -i - 21. Suppose u*t - 5*t + 37 = 0. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/114 - (-1196)\/(-138)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 1. Let p(k) = -k**3 - 7*k**2 - 6*k + 3. What is p(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2266 and 6759787.\nAnswer: 148715314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - 2*a + 2*a)*(262*a + a - 11*a) + 2*a**2 - 3*a + 3*a + (0*a + 0*a - 2*a)*(-a + 5*a - a) to m + i*a + d*a**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4118, 8233, 12348, 16463, 20578?\n\"Answer: 4115*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 903 + -563. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 - 6*x + 3. Let b(g) = g**2 - g + 1. Let h(f) = 4*b(f) - y(f). Let v(m) = 3*m**2 - 6*m - 4. Give 7*h(a) + 2*v(a).\nAnswer: -a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*q + 3 - 3. Solve -2*i + 0*n - 2*n + 12 = q, 0 = -4*i - 3*n + 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231007 and 32025?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142 a factor of 240675052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4223 + 2795 = 288*s - 18420 for s.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*f**3 + 58*f**3 - 11*f**3.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i. Let o(f) = 660*f. Let a(w) = -1653*w. Let k(l) = 5*a(l) + 12*o(l). What is k(n(d))?\nAnswer: 345*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400 + 117 = -47*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-9) - (-10)\/(-2). Suppose 80 = -57*w + 62*w. Calculate the remainder when (255\/(-6) - m)*-2 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 r, and 1 w when four letters picked without replacement from brwrpww?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16514, 74739, 171794, 307685, 482418, 695999?\nAnswer: 948434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 15*k**2 + 2*k + 32. Let f be v(-15). Let b be (116\/(-28) - (3 - f)) + 0. Is b not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -73 - 11. Suppose -4 = 6*j + 44. List the prime factors of (-73)\/(o\/j + -3)*-1.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 0*m + 169\/2*m**2 + 18 + 0*m**3 + 123\/4*m**4. Find the second derivative of t(n) wrt n.\nAnswer: 738*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/9 - 24803\/3366. Let n be 1 + (3 - (-10491)\/(-1056)). Let r = n - c. What is the common denominator of 53\/4 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -12*t. Let g(h) = -57*h + 2. Let j(c) = -g(c) + 6*z(c). Let b(w) = 45*w. Calculate j(b(r)).\nAnswer: -675*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*h - 58, 0*v + 4*h + 46 = 3*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 20 - (43 + -39)) + 7 + -8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72444176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -301.3 - -313.3. Let r = 145 - 1017\/7. Is r smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffff. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -30. Let q be 0 - c - (-11 + -4). Suppose -q = -r - 5*r. Solve -5*z = g - 10, 0*g + r*z - 4 = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47 - 37 - (22 + -3)) + (-19 - -4).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1909786754, 1909786753, 1909786752, 1909786751, 1909786750?\n\"Answer: -r + 1909786755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 5*j + 2. Let p be 7\/1 - (-2)\/(-1). Let d be w(p). Solve 0*z + 10 = -d*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 16, 7*y + 3*i + 111 = 4*y. Let w = y - -49. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 0 - 2*j + 0*j**3 + 0*j**4 + 0*j**2 - 1\/20*j**5. Suppose k(x) = 0. What is x?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22454657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -24. Let m(n) = -d*n + n + 8 + 5*n + n**3 + 2*n**2. Let k be m(-2). Solve k*w - 12 = 6*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9858734 greater than or equal to -29576204\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.656471nm in kilometers?\nAnswer: 0.000000000000656471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -15185363 and -15185362 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163.9866 - -164. Round v to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168114?\nAnswer: 2, 3, 28019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 - -65310.\nAnswer: 65308.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 12*a**5\/7 - 1313*a**4\/7 - 12097*a**3\/7 - 6718*a**2\/7 - 944*a\/7 = 0.\nAnswer: -8, -1\/3, -1\/4, 0, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/328 and 20\/287.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/2 - (-3)\/(18\/(-24)). Let n be (10 - -2)\/4 + x. Solve n + 1 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*z + 11 + 6*z - 17*z)*(3*z - 2*z - 2*z) to the form j + f*z**2 + y*z and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 484 = 134. Is 9 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 2 (c) 2\/5 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 4*y**2 + 9*y - 7. Let k be u(5). Let l = k - -15. Let j = l + 24. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*(-3)\/(-12)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 293264 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -14\/5 (c) -2 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 242 (base 8) to base 4\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i + 83. Let x be p(5). Suppose 7*b + 97 = x. Solve -q - 5*c = 7, 5 = -q - 7*c + b*c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 3. Let c be g(0). Suppose c*f - 300 + 75 = 0. Suppose -5*a + f = -3*n, -10 = 2*a - 2*n - 36. Calculate the remainder when a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, q: 1, w: 3, m: 2, s: 5}. What is prob of sequence sm?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 9*c**2 - 10*c + 2. Let f be v(10). Let d(n) be the first derivative of -1\/4*n**4 - 1 + 1\/3*n**3 - 8*n + 0*n**f. Determine d(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**6\/240 + 3*v**5\/40 - v**4\/3 - 5*v**2. Let q(j) be the second derivative of y(j). What are the prime factors of q(-12)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(192) + sqrt(3))*-3)**2 - (2*sqrt(18)*2)\/(-2*sqrt(6)*2).\nAnswer: sqrt(3) + 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11116 by 1588.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109*c*u**5 + 127289*c*u + 416*u**3 + 2*u wrt u?\nAnswer: -2180*c*u**3 + 2496*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 532 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(t**4 - t**4 - t**4) + (-2*t - t + 2*t)*(2*t - t**3 - 2*t).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 4 = 9*f. Find the first derivative of -29 + f - 55 + 20*u**3 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(11 - (0 - (-10 - -4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41, 52, 85, 152, 265, 436, 677?\n\"Answer: 2*c**3 - c**2 + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*n - 59, -2*n + 4*v = -0*v - 12. Suppose -19*i = -n*i. Sort -5, -14, i in ascending order.\nAnswer: -14, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d*m*u*w**2 - d*m*u*w + 5*d*m + 3*d*u*w - 4*d*u - 2*d*w**2 + m*u*w**2 + 8*m*w - 2*m + 6*w**2 wrt w.\nAnswer: -6*d*m*u - 4*d + 2*m*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17 - -2*(-4)\/(-8). Let x be ((1000\/6)\/(-4))\/((-6)\/j). What are the prime factors of 467\/5 + (-50)\/x?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52927*k + 170787*k + 167047*k.\nAnswer: 284907*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 8.12. Let d = o + 0.12000003. What is d rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/52*(60\/(-9) + 7). Let d = -37\/390 + a. What is the common denominator of d and 49\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2. Let l(m) = m**2 + 2*m - 4. Let x be l(-4). Let t(s) = -22*s + 156. Let u be t(6). Let z(f) = -u*f + 51*f - 27*f + x*f**2. What is c(z(k))?\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -5 (c) 1\/3 (d) 6 (e) 0.04 (f) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32316 is divided by 1113?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3236610 divided by -12545.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 819588450?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 957\/8? (a) 0.3 (b) -0.065 (c) 1 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30384, 30381, 30378, 30375, 30372?\nAnswer: 30369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22548.94 kilograms in milligrams?\nAnswer: 22548940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b - 23. Let y be h(7). Solve 0 = 5*u - 9*u - y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f. Let p(i) = 543*i**2 + 5*i + 2. What is b(p(z))?\nAnswer: -2715*z**2 - 25*z - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 601 - 599. Let p(g) = -g**2 + 4*g - 5. Let h be p(4). Sort h, 5, s.\nAnswer: h, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**6\/6 + 1675*l**4\/4 + 4328*l**3\/3 + 4801. What is the third derivative of g(x) wrt x?\nAnswer: -60*x**2 + 10050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*j - 2 = -0*j, j - 1 = 0. Suppose -2*f = -q*f - 10. Solve v - 4*b = 15, 9 - 24 = -5*v + f*b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4133 (base 6) to base 12.\nAnswer: -649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8522518.4999852 - -8522521. Let h = -2.9 - -5.4. Let i = h - l. Round i to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 19*n**2 + 9*n - 25. Let m be j(-16). Suppose m*y - 600*y = -1396. What are the prime factors of y?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*h*q**2*z + 19*h*q**2 - 6346*h*q - q**2*z - 9715*q**2 + q*z - 3*q + 4 wrt h?\nAnswer: -16*q**2*z + 19*q**2 - 6346*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.7, 1\/11, -0.3, 3\/2, 4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108\/2065 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 229267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8979237257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**2)\/y*y**(15\/8))**(-4\/5) assuming y is positive.\nAnswer: y**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-497*d + 517*d + 0 + 4*d**3 - 2)*(1 + 0 - 4).\nAnswer: -12*d**3 - 60*d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3 - 6*o + 3 + 47*o**3 - 4 + 3*o + 2*o**2. Is 6 a factor of b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 12 = 4. Suppose 0 = -9*f + 28 + 17. Suppose -7*t - 6 = -2*o - 5*t, f*t + 12 = 2*o. What is the least common multiple of o and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*y**5 + 933621*y**4 - 568892910*y**3 + 114620689386*y**2 - 52811014311*y + 6090085521 = 0.\nAnswer: 3\/13, 507, 667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1306 + 1674. Calculate the remainder when m is divided by 353.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34442403334 + -13?\nAnswer: 34442403321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) -6 (c) -0.3 (d) 4\/9 (e) 379\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10238 - 46?\nAnswer: 101a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 53, 7, -139, -385, -731?\n\"Answer: -50*u**2 + 104*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 81. Solve -2*h + o*z - z - 10 = 0, -z + 10 = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttlltt. Give prob of sequence llll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 239370 and 1914960?\nAnswer: 1914960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*a - 4 = 0, -3*o - 2*a - 2 + 6 = 0. Solve 3*t = 4*f + 4, o = 5*t + 5*f + 37 + 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186884.2 rounded to the nearest one thousand?\nAnswer: -187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*u = -142, 0*h - 118 = 2*h - 4*u. Let d be (-8112)\/(-130) + 3\/5. Let p = d + h. Put -6, p, -1 in ascending order.\nAnswer: -6, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/11 + 55434028*q\/11 + 384116432538098\/11.\nAnswer: 2*(q + 13858507)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/10 + (-6)\/(-1)*3\/(-24). What is the smallest value in 15, 2, -1.4, 2\/5, z?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*-0.12.\nAnswer: -4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 2*f. Suppose -41 = 5*n - 31. What is h(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + m - 7. Let w(n) = -n**2 + 3. Give -2*d(f) - 5*w(f).\nAnswer: f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2016120 and 634.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x - 209. Calculate m(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + d + d - 107 + 22 - 32 in the form f*d + y and give y.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(12)\/sqrt(4)) + -2.\nAnswer: -2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*x - 12, 2*o + 11*x - 8*x - 9 = 0. Let d(l) be the second derivative of -3\/2*l**2 - l + o - 1\/36*l**4 + 1\/3*l**3. Factor d(s).\nAnswer: -(s - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7. Suppose 0*n - n + 47 = d. Find the common denominator of n\/(-9*(-2)\/(-3)) and 4\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1494 and 37\/288?\nAnswer: 23904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4 + 4. What is the second derivative of 2*s**4 + s + 0*s**v - 9*s**4 + 0*s wrt s?\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4140)\/69*3\/(-72))\/((-10)\/528)\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -60 (b) -1.499 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2313 + 2*l**2 - 663*l + 663*l in the form q + w*l + g*l**2 and give q.\nAnswer: -2313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 22 = -2*a. List the prime factors of a\/1*(-5)\/10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 3)*((-12*u - 12*u + 3*u)*(6 - 4 - 4) + u - 3*u + 4*u + u - u + 4*u) + 0 - 2*u + 0 to a + h*u and give h.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 2*q**2 + 2*q + 79. Does 9 divide x(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*t = 16, -7*t + 6*t - 13 = 4*o. Which is the third biggest value? (a) 398 (b) o (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -844 - -2207. What is the lowest common multiple of q and 7?\nAnswer: 9541","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + -45. Suppose -9*n = -k - 2. Solve -v + 2*v + r - 8 = 0, -n*v = 3*r - 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191.87415 months to decades.\nAnswer: 1.59895125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j - 22*j = a + 18, -7*a - 116 = 4*j + j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + g + 79. Let h be o(0). Let k = 18 - 60. Let r = k + h. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*g + n, g - 4 = -84*n + 83*n. Let m(f) be the second derivative of 0 + 1\/3*f**3 - 42*f + 1\/60*f**6 - 1\/8*f**4 - 1\/20*f**5 + f**g. Factor m(p).\nAnswer: (p - 2)**2*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.057 - -0.057. Which is the nearest to -2? (a) 0.11 (b) f (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + 12*b + 10. Let d be s(-5). Suppose -4*u - 106 = -4*t - 2*u, -2*u = 2. Which is bigger: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-20) + 8\/(-5). Let n be y\/9 - (-152)\/36. What is the nearest to 1 in -2\/7, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2 + (-2 - 3 + 4)*(-2 + 1 + 0))*(101*h**5 - 108*h**5 - 72*h**5).\nAnswer: -158*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 46\/5 of a millennium?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 r when four letters picked without replacement from rrqrqdr.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -91 and -233161\/2523 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 1:38 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 12) to base 2\nAnswer: 110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.98231 >= 1230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 196\/(-15) - (-1345)\/(-20175)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 3a1209?\nAnswer: -3a120a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-333)\/(-74)*1\/(-18). What is the third biggest value in -60, w, -1\/3?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(528\/56)*4\/21\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -216 + 1091. Suppose -19*z = -2*z - 595. Calculate the greatest common divisor of u and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 224044, -16, 2, 121 in decreasing order.\nAnswer: 224044, 121, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1935 and 6075.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 175333, 345198, 515063, 684928, 854793?\n\"Answer: 169865*x + 5468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1627?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 547 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + (165 - 207).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6611 by -6.\nAnswer: 6611\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 297*s + 29404. What is i(-99)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 651810184?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320, 1813, 5876, 13793, 26848, 46325, 73508, 109681?\nAnswer: 156128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*q - 35 - 55, -2*q - 2*y = 36. What is the units digit of (332\/(-12))\/(2\/q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -21?\nAnswer: -23\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 1185*z + 1188*z + 0 - 10 - z**2 - 2374*z. Give h(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32531998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 17*y - 12. Let d(s) = 3*s**2 + 49*s + 37. Let o(g) = 3*d(g) + 8*i(g). Let j be o(-10). Solve 4*u - 2*c = 3*u - 5, -j*c = -u - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4281*b**4 - 270 - 6*b**2 - 4279*b**4 + 93 + (0*b + 4*b - 2*b)*(-b**3 + 0*b**3 - b**3).\nAnswer: -2*b**4 - 6*b**2 - 177","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36 + -2?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -6. Which is the closest to g? (a) 4\/7 (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1553*o - 2223.\nAnswer: -1553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 - 262*r**2 + 252*r - 610. Determine u(-132).\nAnswer: 974","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 0) + 5\/(-5). Let h(r) be the third derivative of 0*r - 1\/30*r**5 - 2*r**2 + 0 + 1\/3*r**3 - 1\/60*r**g + 1\/12*r**4. Find j such that h(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23008538 is divided by 333457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v + 12 + 2 - 3*v. Is n(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12817 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 51.13373 millilitres?\nAnswer: 0.05113373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36572 = -467*r - 157*r - 268*r for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydda when four letters picked without replacement from {u: 1, a: 1, y: 1, d: 5, i: 1}?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**5\/60 - u**4\/2 - 17*u**3\/6 + 13*u**2. Let r be g(-8). Let z = 4 + r. What is the remainder when 33 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, v: 15}. What is prob of picking 4 v?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*a = -10, 5*c - 4*a - 6 - 14 = 0. What is the nearest to 1\/2 in 4, c, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 - 30*k**2 + 21*k - 276. Determine v(15).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 2*h + 32*h**3 + 7*h**2 - 31*h**3. Calculate the remainder when 86 is divided by j(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61773 - 2092?\nAnswer: -63865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuulull. What is prob of picking 2 u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 45\/5 + 0 + 0. Let r(q) be the third derivative of 0*q**4 + 0 + 0*q - 1\/270*q**y + 0*q**3 - 2*q**2. Factor r(w).\nAnswer: -2*w**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/126 - (-4)\/(-18). Suppose 16 = -18*i + 22*i. Suppose -3 = m - i. Is f != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrvqovq. What is prob of sequence vvq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 70.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - 38 - (-12 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24934\/(-12056) + 18\/8 + (-49)\/209.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0)\/(-13 - 0 - 1377\/(-102))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 3 - 75 = 0. Suppose -x*j = -j - 2176. Let w(v) = -j*v**2 + 118*v**2 + 130*v**2. Let c(g) = -3*g**2. What is c(w(r))?\nAnswer: -1728*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 7:21 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 11:46 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.2, 3, -2\/55, -3, 405?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 4769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -132230030 (base 4) in base 3?\nAnswer: -20101102212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 9*w**5\/5 - 66*w**4\/5 - 206*w**3\/5 + 1664*w**2\/5 - 95*w - 70 = 0.\nAnswer: -5, -1\/3, 2\/3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 1, 3\/19, -3, -5?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26 - 895?\nAnswer: -921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -469, -481, -509, -559, -637, -749?\n\"Answer: -q**3 - 2*q**2 + q - 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1513*z + 1506*z - 2942*z to s + l*z and give l.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 259 and -23625.4.\nAnswer: -6118978.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4770 and 32445010.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/5)\/(-12))\/(8\/(-416)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3 + 1. Suppose -4*j + 45 = j + 5*a, 0 = -3*j + 3*a + 27. Calculate the smallest common multiple of j and (-2)\/(b\/(3 + -7)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 12*m - 17. Let z be k(-12). Let u = -88 + 60. Let a = z - u. Solve 2*t + y + a = 0, -t + 3*t + 16 = -2*y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - ((-55)\/5 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzjtbtjtbtjzjtj. Give prob of sequence zjj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185 a factor of 53318292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/108 + (-101)\/(-9))*-18. Let w = 2 - g. Calculate the greatest common factor of w and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -169 - -168. Let w = -0.55 - -0.69. Let z = 0.14 - w. Which is the closest to -0.22? (a) x (b) z (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 - 4*z**2 - 5*z + 6. Let q be t(4). Let j be (6\/(-12))\/(2\/(-332)). Let m = j - q. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a millennium in centuries?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 214720530173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5*z - 271, 272 + 66 = -4*s + 2*z. Let b = -73 - s. Suppose b = 2*y - 7. What is the highest common factor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2543 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1360*a**4 + a + 2312.\nAnswer: 16320*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149866*f*z**3 - 23*f*z + 90851*f - 1485*z**5 - 2*z**2 - 41 wrt z?\nAnswer: -899196*f*z - 29700*z**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 2*r - 2*r)*(0 + 1 - 2)*(0 + 0 - 2*r)*(223 - 295 + 454).\nAnswer: -2292*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in minutes?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 61.7. Let w = u - -1.3. Put -3, 2, 4, w in decreasing order.\nAnswer: 4, 2, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 2 (c) -1\/9 (d) 714.2 (e) 0.2 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i - 5*x = 8*i - 92, 0 = 6*i - 3*x + 66 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 399315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3400 - 3784 = 32*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 2, p: 7}. Give prob of picking 2 z.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -d82?\nAnswer: -d87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 783*s**3 - 34 + 34 - 2927*s**3.\nAnswer: -2144*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 + 7*b**2 - 6*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 8*r**2 - 6*r - 2. Determine u(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 2*r + 4*r**2 - 70*r**3 - 84*r**3 - 4*r + 162*r**3 in the form d*r + b*r**2 + k*r**3 + n and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -33*y**2 + 22*y - 18. Let z(t) = -8*t**2 + 6*t - 4. Determine -2*m(q) + 9*z(q).\nAnswer: -6*q**2 + 10*q","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.07390763 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502436114.\nAnswer: 2, 19, 499, 26497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, o: 2, x: 2}. What is prob of picking 3 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6041*c + 0*c**2 - 6037*c + 13*c**2 - 9 + c**3. Is l(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**2\/2 - q + 12. Let i(u) = -4 + 5 + 4*u - 5*u. Determine 5*i(x) + 6*v(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 271094 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g = 8. Suppose -3*q - 4 = -q. Is (36\/g)\/((-1)\/q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g - 4*g - 7*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16216 + 387*k**2 - 16216.\nAnswer: 387*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 187 + -185. Which is the nearest to 1? (a) 0.03 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95*f - 795 + 256 + 279 + 276 to the form p*f + x and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 152\/3952*754\/1\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 14*l + 426. Is 7 a factor of g(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5))**(-33) assuming m is positive.\nAnswer: m**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.13 or 183\/25?\nAnswer: 183\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, -57 in decreasing order.\nAnswer: 4, -13, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1061 is divided by 39?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1884.593 - -0.0364.\nAnswer: 1884.6294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (6 + -3) - 6. Let n be (-5 - -3)*((-20)\/5)\/40. Sort n, -4, 3, w in ascending order.\nAnswer: w, -4, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0366 + -5.0634. Round h to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2*g - 3)*(-4 + 1 + 1) + 2 - 2 - g)*(4*g**4 + 5*g**4 - 13*g**4).\nAnswer: -12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2463 + 2468. Let a = 22 + -20. Suppose a*b = -5*o + 4, -3*b = 6*o - 2*o - 6. Sort o, -4, n in increasing order.\nAnswer: -4, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110101 + -101?\nAnswer: 11110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**5\/60 + x**4\/24 - x**3\/3 + 66*x**2. Determine c(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -488, -452, -364, -200, 64, 452, 988?\nAnswer: 1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.969 (b) -3.1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.722 - 0.178. Let t = 9 + o. Which is the second smallest value? (a) -3\/2 (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -2.256 (c) -2\/13 (d) 84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + -38. Suppose 3*o + 4*d = 125, -2*d - 2*d = -4*o + 120. Calculate the remainder when o is divided by (39\/w)\/(9\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Let n(h) = 21*h + 1. Calculate the smallest common multiple of n(1) and -3*(-1 + (-7)\/b).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 4*i**3 - 4*i**3)*(83*i + 76*i + 61*i).\nAnswer: 220*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2332*v - 25370 + 106647 - 155129 = 196660 for v.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i = 0. Let h be (-3)\/(i - (-6)\/(-4)). Find the second derivative of -6*t**2 + 5*t**2 + 4*t + 3*t**h wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 12*h**2 + 10*h + 264. What is m(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 + 13*y**2 + 9*y. What is the remainder when 417 is divided by v(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2915131453 to the power of 1\/3, to the nearest integer?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Suppose 0 = 3*y + z - 43, -4*y + c*z + 57 = 4*z. Let r be ((-63)\/y)\/((-6)\/(-8)). Let h(g) = g. Give h(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 17*u + 108. Let v(a) = -4*a - 27. Determine -2*j(g) - 9*v(g).\nAnswer: 2*g + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3 = 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -2*o - 4 + 2, 4*o = -b + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-9))\/(((-180)\/480)\/((-36)\/(-160)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10130220 (base 4) in base 3?\nAnswer: -220222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13811 (base 14) to base 8.\nAnswer: 136147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235 and 17396350.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqiitda. What is prob of picking 1 d, 1 a, 1 h, and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8*m - 154. Suppose 5*y - 12 - 523 = 0. Calculate the remainder when y is divided by z(-23).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a**2 + a. Let g(b) = 17*b**2 - 36*b**2 + 17*b**2. Give n(g(x)).\nAnswer: -36*x**4 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 - t - 5. Let m(c) = c**2 - c + 1. Let s(d) = -l(d) - 3*m(d). Let z be s(4). Suppose -z*a + 100 = 30. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**4\/14 - 68*l**3\/7 + 15*l**2 + 412*l\/7 + 3321. Determine f so that m(f) = 0.\nAnswer: -103, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-231)*(4 + -3*(-17)\/(-6))?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rorrorrorrrzro. What is prob of picking 1 r and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*w**4 - 2*w**4 + 18*w - 5*w**4 - 2*w**3 wrt w?\nAnswer: -180*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1606\/511)\/(16\/112).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4367341 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2 - 54575*t - 160491264 = 0.\nAnswer: -51456, -3119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7725 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1418882460.\nAnswer: 1418882460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 13*f - 4. Let d be w(12). Solve r - a - 2*a - 10 = 0, d = -r - 3*a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0119266969 to 6 dps.\nAnswer: 0.011927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114 > 2266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 11*u**2 + 31*u - 13. What is t(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 44*j**3\/3 + 114*j + 146. Find the first derivative of u(t) wrt t.\nAnswer: 88*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (3 + 3 + -5 + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3*-6.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 + 49*i - 49*i + (2*i - 1 + 1)*(i - 3*i + 4*i) - 13*i - i + 20*i**2 - 18*i**2.\nAnswer: 4*i**2 - 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-416)\/(-16))*(-6)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwqwqqqqqqqqqqwwqqw. Give prob of sequence qw.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*z**2 - 6974*z + 2324.\nAnswer: 2*(z - 1162)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + -1)**2 - (sqrt(38)\/(sqrt(2)*-1 - sqrt(2)))**2)*-6.\nAnswer: -867\/2 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59 + 115 + 5 - 1140*k**3 - 3530*k**2 - 61 wrt k.\nAnswer: -6840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -a, -6*a + 10*a = 2*c + 12. Let r(q) = q**3 + 8*q**2 - 12*q - 22. Let o be r(-8). Sort 5, o, a.\nAnswer: a, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 638a (base 13) to base 12\nAnswer: 7ba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/440 and -127\/990?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 235 = 2*i. Let p(b) = i*b - 463*b + 230*b. What is p(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 4. Let i be b(7). Suppose 1 = 5*k - d - 6, 3*k - 3*d = -i. Solve -k*s = 2*s + 3*p - 24, 5*p - 20 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74307 by -3.\nAnswer: -24769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v**2 - 2. Calculate the remainder when a(2) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3882 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 120 - 117 = d, 4*d = -5*p + 25 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6444, 6440, 6436, 6432?\n\"Answer: -4*t + 6448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44851\/3 + 14953. Factor 2*m**2 + 8\/3*m - c + 2\/3*m**4 - 8\/3*m**3.\nAnswer: 2*(m - 2)**2*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-799)\/34)\/47)\/(5\/(-8)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 72891665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 33 = -3*p, -5*u - 235183*p + 235188*p = -25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6383291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(2 - 1) + 90. Suppose 3*f + y = 5*t, 0 = f + f + 5*t + 76. What are the prime factors of (-8)\/(-44) + (-357)\/f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 10*k - 20 = 8*d, -67*d + 62*d + 20 = -2*k for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/17)\/(p**(1\/11)\/p)*p*p**(4\/11)\/p*p*p\/(p\/((p**(1\/4)\/p)\/p*p)) assuming p is positive.\nAnswer: p**(1095\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**4 + 58940*i**3 + 412295*i**2 - 471240*i = 0.\nAnswer: -11781, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1317 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -1) + 2 + 45\/27.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/8*(4 + 0). Let j(d) be the second derivative of -d**3\/3 + 3*d. Let p be j(-1). Which is the closest to -2\/5? (a) p (b) -2\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + -23?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 567390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -580782867 + 2366.9\nAnswer: -580780500.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 921704851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73746 = -101*h - 17691. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-5 - -2 - 1139994). Suppose 3*w = 3*r - l, 0*r + r - 379998 = 2*w. Round r to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1043746 and 2941466.\nAnswer: 32356126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 106206517283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 8) to base 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2094783*l + 2094783*l - 3*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 76\/18 + 2\/(-9). Solve -x = -y + 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + (-4*(sqrt(204) - (sqrt(204) + sqrt(204)*1)))\/(sqrt(48)\/sqrt(64)))**2.\nAnswer: -192*sqrt(17) + 4388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 6 in descending order.\nAnswer: 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2814 + 2827. Let x(z) = -10*z**3 - 8*z**2 + 2*z - 6. Let k(q) = -21*q**3 - 17*q**2 + 5*q - 13. Give l*x(a) - 6*k(a).\nAnswer: -4*a**3 - 2*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-16)\/(-6))\/((-2)\/(-18)) and (-1 + 0)*((-60)\/3 + -6) + -5?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 752598 = -12*z. What are the prime factors of z?\nAnswer: 2, 3, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9593105 + 7?\nAnswer: 959310c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcn when three letters picked without replacement from vbnvc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/10, 8, -10, -3\/7, 0.1, 15\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/63*-9)\/(-9)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -235*z + 957. Let v be m(4). Calculate the highest common divisor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 + -50. Let z = 30 - t. Which is the nearest to -1? (a) z (b) -2\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/96*62\/((-217)\/7)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 12*v**2 + 31*v - 9. Give o(14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 966*d - 1082.\nAnswer: 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2. Let y(f) = -1039*f + 3124*f + 3432*f + 14364*f + 1982*f. Give y(q(m)).\nAnswer: 43726*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 967 - 967.5. What is the third biggest value in 1, a, 15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w. Let d be n(2). Let f be d\/(-24) - 1\/(-6). Let s(g) = 2 + 0 - g - 3. Calculate s(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87641?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w**2 + 13*w**2 + 11*w**2 + 9*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 5*y**2 - y - 2. Let z be m(-5). Suppose -z*l - 3 = -4*l. Factor 4*d**l - 2*d**4 - 20*d - 2*d**2 + 20*d.\nAnswer: -2*d**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/16))\/(m*m\/((m*m**(2\/97)\/m)\/m)) assuming m is positive.\nAnswer: m**(-3169\/1552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322119635?\nAnswer: 5, 19, 3390733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {s: 2, p: 9, o: 2, q: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1291.\nAnswer: 5\/1291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/(-130))\/((-14)\/1135). Let g = 72\/7 - c. Let x = -21\/26 + g. Is -1 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. What is the third derivative of n**6 - 2*n**6 + 2*n**w - n**2 wrt n?\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6750)\/(-1000) - (11\/4 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + 1 - 6 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -433*a. Let u(y) = 3*y. Give c(u(g)).\nAnswer: -1299*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/10)\/(6\/(-15)). Let j be 41\/3 + (-195)\/117. Calculate the highest common divisor of j and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -20*l**3 + 15*l**2 + 41*l - 66. Is 219 a factor of w(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 22 = 3*q. Suppose -v + 4*p + q = 0, -3*v + 4*p + 37 = -5. Let s(r) = -r + 12. Let k be s(8). Solve k = 3*l - 2*z, 4*l - z - v = -3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 12:51 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxaa when four letters picked without replacement from xxxxxxaaax?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (0 + -1)\/(19\/(-741))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*u**4 + 87*u**3 + 72*u**2 - 84*u - 96.\nAnswer: 3*(u - 1)*(u + 2)**2*(7*u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)*2)\/sqrt(5).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 2771*y**2 + 190148*y - 11281820.\nAnswer: (y - 38)*(y + 110)*(y + 2699)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m. Let u(g) be the third derivative of -g**4\/8 - 18*g**2 - 2. Give o(u(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 12 + 4*y to the form i + w*y and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - l = -8. Suppose l*x - 17 = 45. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 - -42. Let q = 28 + p. Solve q*w + 4 = z + 23, -w = -z - 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -11 + 31, -5*j - 40 = 3*x. Let m = -49\/180 + 1\/45. Which is the nearest to m? (a) x (b) 8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2615842\/5 or 523167?\nAnswer: 2615842\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.285 * -1351.\nAnswer: 385.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -548 + 5337. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55c (base 14) to base 16.\nAnswer: -426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2521.965 or -2.44?\nAnswer: -2.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r - 78 = 50 + 136 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 1. Let v be (-2)\/((-1)\/1) - -5. Let d(r) = 2 + r + 3 - v + 2*r. Let n = 1 + -3. Give n*d(a) - 5*m(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d = 20722 - 973. Let f = d - 471. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6227, -12487, -18773, -25097, -31471?\n\"Answer: -2*l**3 - l**2 - 6243*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - -4 - (4 - 3) - 0. Let b(j) = 2*j + 12. Suppose 0 = -2*i + 2*a + 3*a + 27, 2*i + 2*a - 34 = 0. What is the smallest common multiple of i and b(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208 and 64.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -460 + 463. Solve -15 = -3*x - 3*z, v*x - 4*z + 25 = z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + u**4 + 504*u - u**2 + 0*u**4 + 4 - 506*u to c*u**4 + s*u + a*u**3 + l + d*u**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 3*u + 13546. Let p be q(0). Let g = 25446 - p. Round g to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 1891 = 51*p - 302. Solve 0 = -p*w - 71 - 187 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013864 rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 - 5*g**2 - 4*g**3 - 2*g**3.\nAnswer: -8*g**3 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9468, -18936, -28404?\nAnswer: -37872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17876*w + 17700*w - 859 - 2675 - 4738 = 0 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-6)*2\/8)\/((-21575)\/(-150) + -145).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.05 (c) 28\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1068)\/18 - (1 + 3\/(-9)). Let r = -73 + 75. Let c be -61*(r - (6 + -5)). Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1554476870 divided by -8588270.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4754, 5096, 5440, 5786, 6134, 6484?\nAnswer: 6836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 171 (b) -6933\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q - 1. Let d(t) = t. Let n be d(2). Let m be h(n). Let p = 257 - 114. Calculate the greatest common factor of p and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11634, -11631, -11628, -11625?\nAnswer: -11622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3248737 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 31 + 2 + -21 + 7 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5079 - -5071) + (-1 + 88 - -2) + 0 + 2.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1320 and -31\/33000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuttttuttt. Give prob of picking 1 u and 2 t.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*m + 17*m**4 - 26*m + (-m + 0*m + 3*m)*(-3*m**3 + 2*m**3 - m**3) - 2*m**4 + 4*m**4 - m**4 - 2*m**4 + 2*m**4 - m**4.\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67963 divided by 5.\nAnswer: -67963\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2628461 is divided by 2627776.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6957428.8 days in weeks?\nAnswer: 993918.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.5644 to one dp.\nAnswer: 30.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 108 = 5*q - 0*c, 5*q + c = 106. Let m be ((-24)\/q - -2)\/1. Let z be 2\/(-4)*(-1)\/(-2). Sort z, -5, m in increasing order.\nAnswer: -5, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -281*s**4\/2 - 1475*s - 2069. What is the derivative of n(q) wrt q?\nAnswer: -1686*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.05 (b) 11\/5 (c) 2\/11 (d) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a + a - 14*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 430 - 428.3. Let r = 2 - g. What is the nearest to 3\/2 in -2, 1, 0, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 1 = -w + c, -4*w = -5*c - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*m + 400, -2*m + 18*u - 15*u + 160 = 0. Calculate the smallest common multiple of m and 570.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 949233*w**2 + 3796848*w + 11390652.\nAnswer: 3*(w - 316407)*(w - 6)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 3*l**5\/20 + l**2. Let j(x) be the second derivative of x**3\/3 - 51*x. Determine t(j(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 29*p - 30*p = 2, -5*h + 3*p = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -1 - 196528\/(-72028). Let g = h - 2\/1637. Find the common denominator of 1\/(-4) - (-1196)\/48 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/(-252))\/(1215\/189))\/(-13 + 19)?\nAnswer: -2\/405","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4243 and 0.\nAnswer: -4243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1976\/(-20))\/13 + 6)\/((-6)\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -836505 = -12*n - 33*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + u = v - 3*u - 61 - 79, -1625 = -4*v + 23*u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*m - z, 4*m + 5*z - 10 = 8*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -13*u - 768. Calculate r(-59).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 305 and 302 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1951017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a day?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 263175 and 1450.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (192\/(-256))\/(((-5)\/8)\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6186537 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 794 = 8*z - 4*t, 0 = -3*z + 2*t + 1179. Calculate the remainder when z is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11946 * 193\nAnswer: -2305578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 + h + 1. Let d be f(-2). Let t(s) = -2 + d*s + 0*s**2 + 3 + s**2. Let v be t(-4). Solve 3*i = v*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9620\/(-7280) - 4*(-1)\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8160\/2380)\/(8\/70). Solve -i*p = -10*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/12)\/(4\/(-84)). Solve -5*m + d = -x, 5*x + 6*m - m = -5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (-275627)\/11 - 3\/1. What is w rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w + 12. Let p be z(-4). Let h(u) = -u**3 - 16*u**2 + u + 16. Let n be h(p). Solve -2*q + n = 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*f**3 + 0 + 6\/5*f**2 + 836\/5*f = 0 for f.\nAnswer: -19, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/(-6) + 4\/6. Let a be -2*(-1)\/((-6)\/(-15)). Suppose -6*m + a = -m. Calculate the greatest common factor of m and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557 = -148*c - 1890 + 11989 for c.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x = -5*x + 42978. Is x a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 3 + (19 - 7) + 34?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away -4796.86?\nAnswer: 4789.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 274052 and 12838?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 4*i**2 + i - 2. Let c be y(4). Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 3, -4, -0.03, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 6*x**2 - 2*x + 15. Let s be n(6). Suppose -4*o = s*i - 129, -5 = o - 8. Calculate the remainder when 155 is divided by i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -65*d + 960. Give m(14).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 - s + 3. Let d(a) be the first derivative of 13*a**3\/3 - 2*a**2 + 13*a + 1360. Calculate -2*d(w) + 9*q(w).\nAnswer: w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**5\/60 + c**4\/24 + 3*c**2. Let u be l(2). Suppose 2*t + 20 = u*t. Solve 0 = -3*y + t - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 263.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 291 + -219. Let o = 60 + j. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 1987 = 1999. Let f = 3 - 3.16. What is the biggest value in n, 2\/9, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 9:48 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19 - 25)\/(((-18)\/(-568))\/(-3))?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/848 and 61\/1696.\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -250*x**2 + 784*x**6 + 322*x**2 + 471*x**2 - 169*x**4 - 783*x**6 wrt x?\nAnswer: 120*x**3 - 4056*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 62\/(-10) - 2\/(-10). Let y(r) = r - 8. Let f(d) = 2*d - 112 + 97 + 0*d. Give g*f(o) + 11*y(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 + 3*i - 11. Let u be w(-5). Suppose -45*p + u*p = -4. What is the second smallest value in p, 2, -8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3776252393.299999966 - -3776252399. Let v = 5.7 - t. Round v to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 0*u + 0*u)*(1685 - 48*u**3 - 1685) + (-u + u + 3*u**3)*(2*u**2 + u**2 - 5*u**2) + (-2 + 2*u**5 + 2)*(-1 + 1 - 1).\nAnswer: 40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/8 - (-1)\/2*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from cswwsww?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208489945.\nAnswer: 5, 19, 2194631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1579 + -1578.8. Which is smaller: -1\/319 or y?\nAnswer: -1\/319","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -388*s + 1950. Give b(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-3))\/((-44)\/3696).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2. Let g(w) = 2849*w + 115. Let d(p) = 5698*p + 253. Let h(i) = 5*d(i) - 11*g(i). Give h(x(y)).\nAnswer: 2849*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*q + 25, u - q = 5 - 0. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Suppose 5*x - j*s = 622, 3*s - 115 - 361 = -4*x. Let a = x + -977\/8. What is the common denominator of -67\/20 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712022489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.2 (b) 13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 666 and 1413955.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2268 - -5*18\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 3, 3\/7, 0.0046?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*j = -172*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2451092 is divided by 5013.\nAnswer: 4748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**2 + 96*n + 176 = 0.\nAnswer: -22, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001111100010000 (base 2) to base 16.\nAnswer: 31f10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u - 10*u + 5*u)*(-198 - 296 + 51).\nAnswer: 5759*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -221.853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/5 + 372*w**2\/5 + 1143*w\/5.\nAnswer: -3*w*(w - 127)*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23852642.\nAnswer: 2, 11, 37, 29303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/103295 and 103\/1280858.\nAnswer: 6404290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1837 and 33?\nAnswer: 5511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24367?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.9003 rounded to zero decimal places?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22102 - -1111111?\nAnswer: 1210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(2*-1)*173\/((-1903)\/(-1485))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4\/7, 12\/119, 4, 6 in increasing order.\nAnswer: -4\/7, 0, 12\/119, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j + 20. Determine t(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033869751 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3284, 2910, 2242, 1274, 0, -1586, -3490?\nAnswer: -5718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 43. What is the common denominator of (-76)\/s - (-4)\/8 and (-19 + 0)\/((-18)\/(-21))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1978375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 9:07 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 = 33*p - 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -616260, -1232475, -1848690, -2464905, -3081120, -3697335?\n\"Answer: -616215*d - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*h = -45638 + 12932. Solve h*m = 243*m + 30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**2. Determine a(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -745 + 808. Is i less than 3.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18632 and 7320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/36)\/((-10)\/70). Let p = u - -20\/9. What is the closest to 0 in -1, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p*w - 23541145*p + 105680076*w - 1 wrt p.\nAnswer: w - 23541145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4129 and 32013.\nAnswer: 132181677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m. Let z(d) = 0*d - 5*d + 2*d - 6*d. Calculate z(q(w)).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23212 + -103552?\nAnswer: -131204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14961792 and 112.\nAnswer: 104732544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040445 (base 6) in base 2?\nAnswer: -1100101100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - (-200)\/(-35))\/(6\/1680441) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**2 + 2*b**2 + 2*b**2)*(-132*b - 1461*b + 67*b) to q*b**3 + t*b**2 + s*b + l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from {d: 1, p: 4, n: 1, u: 4, l: 5}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -630569*m**3 + 2*m**2 - m - 29460026 wrt m?\nAnswer: -1891707*m**2 + 4*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppaapdwoapppadpopwi. What is prob of picking 1 w and 1 i?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-7)*4\/16. Which is smaller: 2\/15 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 54*c - 42 - 9 + 71*c.\nAnswer: 125*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + 4*l - 4. Let n be v(-3). Suppose -6*u = -2*u - 20. Solve s - n = u*s, 0 = -5*t + 4*s + 35 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88118 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -213 + 224. What is the smallest common multiple of z and (1 + 0)\/((-2)\/(-10))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/(m\/(m**(1\/4)*m))*m)\/m)**50*(m\/(m*(m*m*m*m*m\/m**(3\/4)*m)\/m))**15 assuming m is positive.\nAnswer: m**(395\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -947.96 + 948. Which is the second smallest value? (a) -11 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*u**3 - 15*u**3 - 104*u**3 + (-2*u + u + 4*u)*(-3*u**2 + 2*u**2 - 6*u**2) - u**3 - u + u.\nAnswer: -83*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 21525604.61691.\nAnswer: 21525605.01691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*i - 484, -3*i - 4*l + 86 = -2*i. Let r(o) = -o**2 - 14*o - 81. Let y be r(-8). What is the remainder when i is divided by (-70)\/(-6) + 22\/y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/3294 and -26\/135.\nAnswer: 16470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*-1*sqrt(448))**2.\nAnswer: 7166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*t**2\/3 + 418*t\/3 - 32 = 0. Calculate t.\nAnswer: 3\/11, 16\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1094, 3260, 6882, 11960?\n\"Answer: 728*l**2 - 18*l + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3408, 6964, 10520, 14076, 17632, 21188?\nAnswer: 24744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -615 (b) -2\/29 (c) -0.07856 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 9*y + 15. Solve 0 = 4*m - y - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - (-17)\/(-3) - (-22)\/6. Suppose 4*c = -v - 1, 2*c - 2 = -4. Is v - (-80)\/(a - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -3*l - 4*i, -5*l + 40 = -10*l - 5*i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.60147885806 + 0.6?\nAnswer: -0.00147885806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -9*g - 6. Let z be j(-3). Let k = z + -21. Suppose 2*w + k*w - 75 = -h, 4*h + 120 = 4*w. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from zornqnqzccnz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 7*j - 1. Suppose 0 = g + 2*g + 15. Suppose 175*v = 186*v - 176. What is the remainder when v is divided by n(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1932\/105 + (700\/(-125))\/14.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*b*b)**8*(b\/(b\/(((b**(1\/10)*b)\/b)\/b)))\/b**(1\/37) assuming b is positive.\nAnswer: b**(-3303\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.31 - -1.389. Let i = u + -0.07899914. Round i to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -94. Let f = j + -4. Let q = f + -56.31. What is q rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170682 is divided by 664.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*k - 877, p + 4*p = -k + 232. Suppose 87 = 8*t - k. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112274 and 3650?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}