diff --git "a/data/dm_maths/full_data/1828_11255.jsonl" "b/data/dm_maths/full_data/1828_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1828_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (-55*j + 176*j - 65*j - 1)*(15*j**2 - 5*j**2 + 3*j**2).\nAnswer: 728*j**3 - 13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-seven fifths of a millennium?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((4\/14)\/(-109 + 107)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7198 and 18922.\nAnswer: 68100278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 - -148. Let r(q) be the second derivative of 0*q**2 - 1\/2*q**3 + 0 - 2*q + 5\/12*q**p. Find the second derivative of r(z) wrt z.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39954*q**2 - 39954*q**2 - 224*q**3 - 2*q**2 - q**3 + 2*q**2 + (-2*q**2 + 4*q - 4*q)*(-q - 2*q + 4*q) + 73*q**2 + 57*q**3 - 73*q**2.\nAnswer: -170*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*y**3 + 179.\nAnswer: -102*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74604 and 23056.\nAnswer: 430017456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13264 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4390923 + -98.7?\nAnswer: 4390824.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1 = -15. Let h = s - 3. Let z(i) = 3*i**3 + 2*i**2 - i. Is z(h) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -29*s - 18*s**2 - 11*s + 0*s**3 - 2*s**3 - 32 - 8*s = 0. Calculate s.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (-3 + sqrt(500)*-3)) + ((sqrt(500) + -1*sqrt(500))*-4)**2.\nAnswer: 3 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.34 and -138.\nAnswer: 46.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.086285 to 3 dps.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/25)\/(33\/(-110))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*c + 130, -8*m + 98 = 4*c - 10*m. Solve -7*d = c*d + 210 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-3)*4*4*(-15)\/80?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.16 + 0.07. Let u = v - -2.09. Which is the closest to 0.1? (a) u (b) 2\/15 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1351, -2686, -4011, -5326?\n\"Answer: 5*h**2 - 1350*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 754, 1437, 2120, 2803?\nAnswer: 3486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2899, 2876, 2835, 2776, 2699?\nAnswer: 2604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(19) + 1 + 1)**2 - ((sqrt(190)\/(sqrt(10) + -2*sqrt(10)) - sqrt(19)) + 4).\nAnswer: -4*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5.60179 days?\nAnswer: 8066.5776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 4, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 3*d**2 - 5*d - 8. Determine s(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2430503023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38918918 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**3 - f**2 - 2*f + 2. Let h be i(1). Suppose 2*r + 0*r - 15 = -5*g, -g + h*r + 3 = 0. Solve n - 5 = -g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45695798 divided by 1?\nAnswer: 45695798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17570799?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -bc961e (base 15) to base 13\nAnswer: -1b2b046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 13*z + 5. Let u(m) = -3*m - 5. Let p(d) = 1. Let w(v) = 4*p(v) + u(v). Calculate 2*b(a) + 9*w(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 781*i*n**2*o**3 + 27621*i*n**2 - 8*i*n + 712*i*o**3 + n**2*o - 46*o**2 wrt o?\nAnswer: 4686*i*n**2 + 4272*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 7 = 2*f + 5*o, -5*f - 2 = 4*o. Let r(w) = w - 7. Let l be r(7). Let t = f + l. Solve 4*x = y - 10 - 4, -14 = t*x - 4*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2952*s + 89 = 2947*s, 2*a = -s + 2*s + 71 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18477452 to the nearest integer?\nAnswer: 4299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, 1\/2, -1774, 4, 0.3, 138 in descending order.\nAnswer: 138, 9, 4, 1, 1\/2, 0.3, -1774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*m + 1 - 2*m**3 + 3 + 3 - 3 - 7 + m**4 to o*m**4 + v*m**3 + g*m**2 + h*m + q and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 + 9*d**2 + 9*d - 25. Calculate x(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 102. Suppose y*s - 60 = 6*s. Solve 0 = -s*w, -7*d - 2 = -5*d - 3*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 4, -2, -23 in decreasing order.\nAnswer: 4, -0.01, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 9 = 7. Suppose 4*p - 80 = -4*a, 0 = -4*p + z*p - 5*a + 52. Solve 3*r = 7*r - p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -894*w + 9825. What is r(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 6772*o + 6776.\nAnswer: -4*(o - 1694)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 - -161. Suppose 2*o - 7*o = -x. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 3*v = -15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -7 - (2 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 806728811?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 466, 103\/4, -5, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*b = -2*b - 212, 4*a + 3*b = -148. Let p = -17 - a. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -348, -696, -1046, -1398?\n\"Answer: -c**2 - 345*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 8*t**2 + 8*t + 2. Let l be x(-7). Let d be (6\/l)\/(3\/590). Is d\/(-16) + (-1)\/(-4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -1)*(5 - 1) - 4. Suppose -2*b - c*o + 114 = -12, 199 = 3*b - 4*o. Calculate the remainder when b is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2092 = 404. Find the third derivative of -25*d**2 - d**2 + 421*d**4 - 37*d**5 - c*d**4 wrt d.\nAnswer: -2220*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s + 1. Let j be a(-1). Let d = j + 4. Suppose d = -4*f + 3*f + 1020. What is f rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-60)\/8)\/1. Calculate the highest common divisor of t and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 109 = -4*n - 24, -t + 15 = 4*n. Let h = 32 - t. What is the remainder when 3 is divided by (-3 + 0 - -2)*h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/5)*(k*k*k*k\/(k*k\/k**(-16)))\/k)\/((((k*k**(-3\/4)*k)\/k)\/k*k*k)\/k**(-25)) assuming k is positive.\nAnswer: k**(-809\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -1. Suppose 0 = 11*y - c*y. Solve y = 8*t - 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2824.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = 140*b + 45*b + 1386 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -68.2 (b) -423 (c) -1 (d) -1\/11 (e) 5 (f) -3 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(5\/2)\/l*l*l\/(l*l*l**(-4\/9)))**27*(l**0\/l)**20\/(l\/(l\/l**(1\/3))*l**(-2\/3)) assuming l is positive.\nAnswer: l**(359\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*f*i**3*w**3 - 36*f*i*w**3 + i**3 + 341*i*w**3 wrt f.\nAnswer: -3*i**3*w**3 - 36*i*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/3, 0.4, 6558 in descending order.\nAnswer: 6558, 0.4, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 19*u**3 + 2*u**2 - 3*u - 3. List the prime factors of s(2).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-108)\/168)\/((-12)\/8*1). Let x(m) be the first derivative of z*m**2 + 0*m - 2\/21*m**3 + 2. Solve x(v) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 6*h - 7. Let s be g(-7). Let v(i) be the third derivative of 0*i**3 + s + 1\/12*i**4 + i**2 + 0*i. Let f(a) = -2*a**2. What is f(v(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -80\/3. Suppose -3*n - 262*y = -257*y + 15, -3*n - 15 = -3*y. Which is the third smallest value? (a) 0.9 (b) n (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-42) - (-4)\/42 - (-14)\/77*1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - (6 - (-7 + -7))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2461847?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 499*a**4\/12 - a**3\/6 - 3*a**2\/2 - 43*a. What are the prime factors of u(-1)?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 467836 - 1745710 = -39*q. Is q a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*a**3*h**2 + 94324*a**3 - 68*a*h**2 - 1387308*h**2 wrt a.\nAnswer: -138*a*h**2 + 565944*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 12 + 3 = 0. Is -6 - -35 - (1 - (1 + y)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r\/(r\/(r*(r*r*r**8*r*r)\/r))*r)*r**(-8\/3)*r)\/(r**(3\/5))**(-2\/43) assuming r is positive.\nAnswer: r**(-10087\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188, -188, -190, -194, -200, -208, -218?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (3 - 4)*(0 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14200153 + 10?\nAnswer: 14200163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -262*t**3 - 18*t**2 + t - 6. Let k(i) = -787*i**3 - 57*i**2 + 3*i - 19. What is 6*k(p) - 19*q(p)?\nAnswer: 256*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -7*b - 2*w + 20, w = 5. Calculate the greatest common divisor of 100 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 297?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q**3 - 18*q**3 - 27*q**3.\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -28900050 divided by -5780010\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/24 - (-1 + 1). Let g = 2.3684 + -1.3684. Let z = -0.2 - -0.3. Which is the nearest to z? (a) -0.3 (b) q (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 508\/5 + -101. Let w(h) be the first derivative of 0*h**2 - 1 + 0*h**3 + 0*h**4 - 3*h - y*h**5. What is the derivative of w(p) wrt p?\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**8\/48 - x**7\/210 - x**5\/60 - x**4\/3 - 16*x**2 - 2. What is the third derivative of l(n) wrt n?\nAnswer: 420*n**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 9*o + 8. Let w be g(8). Find the third derivative of -6*t**3 + 14*t**2 + w*t**3 + 15*t**3 wrt t.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -18\/7*z**2 + 12\/7*z - 30\/7*z**3 + 0 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -86*u**3 - 7*u**2 - 6*u - 8. Is r(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3))**(-11)\/(h**7\/(h**0*h*h)))**(-13) assuming h is positive.\nAnswer: h**(481\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 366645*c*o**3*t + 33*c*o**2*s + 52*o**3*s - 40*o**2*s*t - 2*o**2 - 7*o*s wrt o.\nAnswer: 2199870*c*t + 312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/4)\/(x\/x**(-8)))**(-14\/5)*(x\/x**0)**(6\/25)*(x*((x*x**1)\/x)\/x*x)**(-25) assuming x is positive.\nAnswer: x**(-1403\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 13.4. Let n = 5 - q. Let w = 4.993 + 0.007. What is the third biggest value in w, 0.8, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c = -0*c. Suppose -3*z + 2*x + 13 = c, 2*z - 3 - 11 = -4*x. Solve -5 + 0 = z*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sseeeebp. Give prob of picking 2 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.252 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*v - 286 = -94*v - 3388 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*r**5 - 112990*r**4 + r**3 + 5404*r - 75 wrt r?\nAnswer: -100*r**3 - 1355880*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2428, 2427, 2430, 2437, 2448?\nAnswer: 2463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120133 (base 5) in base 9?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11770 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18930\/(-7572))\/(2\/(4\/(-6)))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42781?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6340*d + 6347*d = -77 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*s - 12 = 87*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 0.3 (c) -7868\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 7*g**2 + 2*g - 4. Let a be o(7). Let b(z) = z**3 - 10*z**2 + 3*z - 4. Let j be b(a). What is the greatest common factor of j and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 114\/9*9\/6. Let x = 48 - d. What is the remainder when x is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 2*h + 3*h)*(1 - 1 - 6 + (-3 + 4 - 2)*(0 - 3 + 2) - 1 - 3 + 3) as l + a*h and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 179452 and 203116.\nAnswer: 18483556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28070, -112673, -253810, -451481?\nAnswer: -705686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + 14*j**2 + 17*j - 31. Let x(r) = r**3 + 5*r**2 + 6*r - 11. Let k(c) = -6*w(c) + 17*x(c). Calculate k(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 7:41 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 331*b + 668. Let q be i(-2). Solve -7*w = -q + 41 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2716 by 679.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/3 (c) -31 (d) 1.4 (e) -9 (f) -1\/3 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -459.56?\nAnswer: -461.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352331146 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -148792020 divided by -130?\nAnswer: 1144554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 93 - 101 = 0. What is the remainder when 69 is divided by (8 + 0)*3 - t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14740 - -294903\/20. Let y(m) = m**3 + 13*m**2 - 14*m + 38. Let x be y(-15). What is the common denominator of x\/40 + 1 + 2\/1 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*d, 2*d + k + 4*k = 24. Suppose 4*n + 5*g = 10, -4 = -g + 3*g. Suppose n*c + d*f = -19, 0*c - 2*c = -3*f + 19. Sort c, 5, -0.2.\nAnswer: c, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100100 (base 2) in base 9?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22 * -4437.35\nAnswer: 97621.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*v = 50, n + 2*v = -2*n + 26. Let k(o) = -o - 1. Let d(f) = -3*f - 3. Calculate n*d(m) - 17*k(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w - 9. Let l be g(7). Suppose -3*i = i + s - l, 0 = 5*i - s - 26. Suppose i*b + v - 39 = 117, -v - 92 = -3*b. What are the prime factors of b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 10*v + 3. Which is smaller: -7\/17 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -29*(0 + 0 - 1). Suppose 0*n - 7 = -4*m - n, -3*m + v = -4*n. Put m, -2, 5 in ascending order.\nAnswer: -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22134 (base 6) to base 8.\nAnswer: -6012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/1164 and 63\/128?\nAnswer: 37248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 10*i**3 - 10*i**3 + 25*i**3 + 2*i - 6*i**3 - 8. What is z(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121430584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 28 = 8. Sort 4, 5, a in decreasing order.\nAnswer: 5, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110897 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: Expand (-18*z**5 - 71*z**5 - 114*z**5)*(0 - 2 + 3).\nAnswer: -203*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:35 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34666 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 4 = -28*o. Let a be (o + -1)*14\/(-6). Suppose -4*v = 2*t - 146, -v = t - 47 - 21. Calculate the greatest common divisor of a and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 134.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2640219 is divided by 2220?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25429 and 6839?\nAnswer: 173908931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32)\/10)\/((-56)\/1260). Let c(f) = f + 0*f + f**2 - 12 + 10. Let r be c(-5). What is the highest common factor of x and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20844 = -498*c + 112*c. Solve 389 = -c*y + 11 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 981 + -681. Suppose -6*g = -12*g + q. What is the remainder when g is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1194 - 1485 - 1114 + 2*l + 726 + 4*l to z*l + n and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*p + 191 + 940 = 0 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4332.3 - 4332. Which is the fifth biggest value? (a) 1\/7 (b) 3 (c) -0.2 (d) z (e) -1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 1 + 1)*(-6 - 3*k + 6)*(-7 + 6 + 9)*(-1 + 2 + 0).\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.74123852873 and -0.3.\nAnswer: 3.44123852873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 7) to base 6\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*(-160)\/12. Let w = 36 + i. What is the smallest common multiple of w and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*b + 1149 = -381, 4*b + 1485 = v. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -348 - -352. Differentiate -65*m**4 - 2 + 6*m**2 + 0*m**2 + 82*m**y - 9*m**2 wrt m.\nAnswer: 68*m**3 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2*-1)\/((-43)\/43)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 838 and 38?\nAnswer: 15922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 1 - 1 + (4*l**2 - l**5 - 4*l**2)*(1 + 1 - 4) + 4*l**2 - 4*l**2 + l**5 + 9240*l**4 + 3*l - 9240*l**4 + 4*l**5.\nAnswer: 6*l**5 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 0 - 3)*(5*u - 2*u + 0*u) - 3*u + 3*u - 3*u)*(-134*u + 7 - 26 + 20).\nAnswer: -402*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16\/13 - 170\/117. Let l be -6*(-29)\/414*-2. Let d = l - -4\/23. Which is the nearest to d? (a) -9 (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1657844*m + 45*m**2 - 1657844*m + 3*m**3.\nAnswer: 3*m**3 + 45*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 491943 by -3.\nAnswer: -163981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2497*p - 1618*p - 2029*p - 949*p - 7432*p**5 wrt p.\nAnswer: -148640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/6 - 14\/84. Suppose -2*c - n + 0*n = -1960, -5*c - 4*n + 4903 = j. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.9 - -4.2. What is the closest to -2\/3 in 0.1, 6, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -333694 divided by -236.\nAnswer: 166847\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1923940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.07 and -10229.304613.\nAnswer: -10229.234613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (((sqrt(65)*1)\/sqrt(5))**2 + sqrt(13))) + -3 + sqrt(26)\/sqrt(2) + sqrt(1573)*1 + sqrt(637) + -1.\nAnswer: -17 + 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7926.272 tonnes to grams.\nAnswer: 7926272000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 31, -4, 2, 1\/10 in descending order.\nAnswer: 31, 2, 1\/10, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0, -0.3, -0.2, -606635?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 107, -4 in increasing order.\nAnswer: -4, -0.5, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/847 and -61\/539.\nAnswer: 5929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -195.15 - 2.85. Let v = -198.0117 - u. What is v rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (1 - -2) + (3442 - 3439).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 86\/14 + 8\/(-56). What is the second derivative of 14*y**2 + b*y - 5*y**3 - 14*y**2 wrt y?\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 100, 171, 274, 421, 624?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 592\/888*(-1)\/14?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5336766?\nAnswer: 2, 3, 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89376967 - 89376967 + 548*q**2.\nAnswer: 548*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, e: 1, r: 2, y: 1}. Give prob of picking 1 y and 2 a.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 0, -35, -15, -4.\nAnswer: -35, -15, -4, -2, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c. Let u(a) = -6921889*a**2. Calculate l(u(h)).\nAnswer: -6921889*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2)\/((-2)\/(-6)). Let m be ((-16)\/14)\/(-8 - 1188\/(-154)). Solve -2*z - 22 = m*a, -4*a = a + r*z + 29 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13 - 35 + 11 - 26*r**3 wrt r.\nAnswer: -78*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k. Let j(d) = d**3 - 5*d**2 + 4*d - 1. Let b be j(4). Let r be t(b). Let q(i) = -7*i - 3*i**r - 3*i**2 - 7 + 5*i**2. What is q(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15611 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**2 + 11*n + 13. Let x(v) = -6*v**2 - 12*v - 14. Let k(h) = 5*q(h) + 4*x(h). Let w = 7 - 4. Let a(b) = -6*b + 12. Let p be a(w). What is k(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/28 and 91\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -33327.93 * 4\nAnswer: -133311.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/3, 2.3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, n: 3}. Give prob of sequence ee.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -26*r + 4*r**2 - 3766 + 3771 + 44*r. Calculate x(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 17 = -3*f + 6*h, 2*f + h - 15 = 0. Suppose 4*n - 3*k - 1 = f, 12 = 3*k. Solve 3*m = -n*d - 16, -5*m + d + 2*d - 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -12. Let t(n) = -4*n**3 - n**2 + 6. Let y(k) = k**3 - k**2 - k - 1. Let v(p) = m*y(p) - t(p). Calculate the remainder when v(6) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3167730 (base 8) in base 15?\nAnswer: 11b322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -65074 times 26\nAnswer: -1691924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -1\/24*u**4 - 1\/60*u**5 + 1\/210*u**7 - 3*u**2 + 1\/120*u**6 + 0 + 0*u**3 + 0*u. Factor z(o).\nAnswer: o*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 - u**3 - 4*u**3 + (-u - u + 4*u)*(2*u**2 - 2*u**2 - 2*u**2) - u**3 - 3*u**2 + 3*u**2 + 113*u**3 + 1860 - 932 - 928.\nAnswer: 102*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 18*w**2 - 13498*w + 39070. What is j(747)?\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {a: 12, f: 7}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05041 - 66.00959. Let w = 66 + m. Is w <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 9*j**2 + 4*j + 62. Let b = 423 - 413. What is the tens digit of c(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3))**(1\/4)*(z**(-4))**(-31))**12 assuming z is positive.\nAnswer: z**1479","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 19*m**2 + m + 31. Calculate the remainder when 17 is divided by g(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 8:36 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8 - (2 + 8) - 64\/(-1).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) -5 (c) 0.1 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -23*j + 1. Let h(g) = 24*g - 2. Let v(k) = 5*b(k) + 4*h(k). Suppose -3*m - 11 = -2. Does 21 divide v(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 7 + v + 6*v**3 + 0*v**3 + 0*v**3 as k + w*v + z*v**3 + c*v**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 8*c - 2. Calculate x(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1737874\/267 or -6510?\nAnswer: -1737874\/267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1798*t + 1241*t - 162*t + (2 + 0 + 0)*(3*t - t - t))*(2 + 1 - 1)*(5 - 1 - 2) in the form o + j*t and give j.\nAnswer: 11516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -353961 or -2477722\/7?\nAnswer: -2477722\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 8*w**2 - 6*w - 6. Let c be h(7). What is the closest to c in 1\/4, -0.6, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/3278924 and 43\/1490420?\nAnswer: 16394620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -4\/3, -964\/17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 34*j**2 - 59*j - 16. What is the hundreds digit of a(36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + 1*(-5 + sqrt(5324)))*-1*-6)**2.\nAnswer: -277200*sqrt(11) + 4835700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**3\/6 + 4*b**2 + 2*b + 9. Let q(z) = z**2 + 3*z - 1. Calculate the lowest common multiple of q(2) and c(16).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (6 + -2 + 5) - (-6 - 7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2279653 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10070 - 1005. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 0*a - 6 + 2*a - 1 - 2. Let w(c) = -2*c - 3. Let p(y) = -3*y + 1. Let n(v) = -p(v) + w(v). Calculate 3*j(l) - 7*n(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 - 0 - 0. Suppose -21*g = 28*g + 23*g - 72. Which is the fourth biggest value? (a) k (b) g (c) -2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in 2, 3, -1, -0.16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1092 (base 10) to base 6\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34905372 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-15)*3\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from {h: 1, f: 2, t: 1, w: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3497.238837+-0.1\nAnswer: 3497.138837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*v - 48*v = -423 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3446 rounded to two dps?\nAnswer: 5.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 + 0 + 9*w**2 - 223*w**3 + 19 - 27 wrt w?\nAnswer: -1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1221)\/(-132) + 9\/(-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 5007)*6\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -13. Find the common denominator of -119\/12 and r\/(-22) - (-1724)\/(-528).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o*x**3 - 9*o*x - 2*o + 14*x**3 - x**2 - 156*x + 1 wrt x.\nAnswer: 18*o*x + 84*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60034183 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2302, -3096, -3890, -4684, -5478?\n\"Answer: -794*x - 1508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4\/2 - 23*b**3\/2 - 57*b**2\/2 + 347*b\/2 - 133 = 0. What is b?\nAnswer: -19, -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 0*m - 4*m + (-4 + 3 - 1)*(2*m - 2 + 2) + (m + 3 - 3)*(-4 + 3 + 2) - m - 2*m + 4*m + (-1 + 2 + 0)*(-19 + 19 - 4*m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34511 = 7*h - 231629. Let l = -4562369\/120 + h. Calculate the common denominator of -11\/4 and l.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1157 + 495. Let u = 1059 + h. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + r = o - 151 + 149, -3*r - 9 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 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 k(u) = -3*u**3 + 4*u**2 - 1. Let d(r) = 7*r**3 - 8*r**2 + 3. Determine -2*d(b) - 5*k(b).\nAnswer: b**3 - 4*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 7 = -q. Let t be -2 - 835\/(-55) - 2\/11. Let a = t - q. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1823*y - 23407 + 837*y + 23406 to the form h + m*y and give m.\nAnswer: 2660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 11*q**2 - 5*q - 51. Let m be h(-11). Suppose 5*a - 30 = -3*r, 2*r + 4*a = -0*a + 22. Suppose r*w + m*w = 171. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 15*y + 2. Let z be h(-15). Let m(n) = 61*n + 5 - 64*n - 3 - n**z. Let x be m(-3). Solve -6 = x*w + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10361 = 4*m - 7351, m = -4*n + 4422. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3975 - -3979. Solve -5*j + 4*j + 2*f + p = 0, 5*j - 2 = f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 5:20 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 127800 divided by 40\nAnswer: 3195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/2098013 and -17\/2?\nAnswer: 4196026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*c**5 - 572*c**3 + 12062*c**2 - c + 3 wrt c?\nAnswer: -360*c**2 - 3432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -10, -23, -42, -67, -98?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - -10. Suppose -2*n + 4*s - 3*s = -h, -25 = -n - s. Calculate the remainder when 80 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i + 1341*i**2 - 2*i - 1 - 1342*i**2 - 175*i**3 - 183*i**3 in the form s*i**3 + t + x*i + d*i**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 - -1 - (5945 - 5880).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -400*g + 1149*g + 1213*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q + 473096 = -832921. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49369 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/2 + 57*w**2\/2.\nAnswer: 3*w**2*(w + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 1:34 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from {l: 1, t: 1, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3 - 12, -3*o + 58 = 2*w. Suppose 0 = 71*y - 67*y + r - 66, -3*y + 4*r = -40. What is the highest common factor of o and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256240 and 72880.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*o. Suppose -s - 5*m + 25 = o, 2*s + 17 = -4*m + 49. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t - 2*t)*(-672 + 3060 - 3745 - 3058 - 9175 + t**2).\nAnswer: -2*t**3 + 27180*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 86*b - 15. Let u = 351 + -339. What is the units digit of x(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 2*i - 4, -21*v = -17*v + 2*i - 32 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-8 + 4) - (-2)\/15.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2144 - -69047. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1045893418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -5344 and 1511928176.\nAnswer: 1511922832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -9. What is the least common multiple of 20 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-76 - -39) + 34?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 3*i + 2. Let l be y(-3). Find the second derivative of l*a + 4*a**5 - 3*a**5 - a**5 - 4*a**5 wrt a.\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/836*68 + 3\/(-3). Sort u, 596, 4, -0.2, -1 in descending order.\nAnswer: 596, 4, u, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1689 and 288256.\nAnswer: 864768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 299065 or 5682214\/19?\nAnswer: 299065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 492 by 3.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Find k, given that k**2 - 15*k**3 - k**4 - 11*k**4 - 3*k**5 - 7*k**n = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -1267*u**3\/6 - 769*u**2\/2 + 10*u - 3. Differentiate o(a) wrt a.\nAnswer: -1267","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 250\/13237, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4078132139 to the power of 1\/2, to the nearest integer?\nAnswer: 63860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*x = 597, -6*b - 4*x = -5*b - 627. Calculate the remainder when b is divided by 114.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - -14)*(-2)\/(-3). Factor -11*d**3 + 7*d**3 + 0*d**l + 2*d**2 + 2*d**4.\nAnswer: 2*d**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -299209549*g - 336558375.\nAnswer: -299209549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55923771708.40006411 - -55923772636. Let o = y - 927.6. Round o to 6 dps.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*-5*(sqrt(147) - (sqrt(147) + (2 + (sqrt(147) - (1 + sqrt(147))) + sqrt(147) - sqrt(147))) - (sqrt(147) + -2)*-3))**2.\nAnswer: -120120*sqrt(3) + 549649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 1342736?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1372 + 2407. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 9*y**2 + y - 6. Let f = -22 + 31. Let w be s(f). Suppose -w*n - 3*p = -24, n - p - 5 = 11. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a day in minutes?\nAnswer: 39600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 9:51 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 608 at least as big as 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 350*o**2\/3 - 2792*o\/3 - 64\/3 = 0.\nAnswer: -4\/175, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 74 in increasing order.\nAnswer: -15, -3, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r. Suppose 3*m - 3 = -r. Let d be m + -2 + 18\/14. Which is the second biggest value? (a) d (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*g + 36*g - 102*g - 285 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 4. Give y(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 759 + 1001 = -5*i. Let q = i + 662. Round q to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 (base 8) in base 4?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70739107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 687452894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 19*a - 129. Let j(o) = o**3 + 30*o**2 + 47*o - 258. Let z be j(-28). Calculate r(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 146 (c) 0.1 (d) 0.3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6023304?\nAnswer: 2, 3, 7, 17, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 2 - 8 - ((-399)\/(-21) - 14)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 11*y + 280. Let i(k) = 2*k**2 + 36*k - 2. Calculate the remainder when i(y) is divided by 87\/4 - 5\/(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3607.992706 rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.43919 + 80.438815. Let f = -80 + d. Round f to 5 decimal places.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 - b - 1. Let z be n(-1). Let s = 2 + z. Suppose s*m = 2*l + 2*m - 20, -l + 3*m = 10. Solve l*x + 0*x - 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -31756*a - 285884. Give y(-9).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 953950384 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344240493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204197880 and 24023280.\nAnswer: 408395760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 7 + -28 - -18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**7\/14 - r**6\/10 + 9*r**5\/20 + 5*r**4\/4 + r**3 + 40*r - 3. Factor k(d).\nAnswer: -3*d*(d - 2)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -244, -675, -1388, -2383, -3660, -5219, -7060?\n\"Answer: -141*i**2 - 8*i - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 679000 rounded to the nearest ten thousand?\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**2 + 1 + 6*b**2 - 30*b**2 + 19*b**2.\nAnswer: 10*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105539413 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-25 - 5) + 22 + -22?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 70 = 5*m, m + j - 6*j - 6 = 0. What is the greatest common divisor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 6*o**2 - 3*o - 4. What is the remainder when (-18 - -1)\/(4 - 5) is divided by g(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-37 - (-10 - 0 - -3))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.59358 + 0.32158. Round b to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1789*o - 59033. Let y be h(-33). Factor y*d**3 + 2\/3*d**4 - 2\/3*d**5 + 0*d + 0 + 0*d**2.\nAnswer: -2*d**3*(d - 3)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 23*s**6\/10 + 70*s**2 - 6*s + 2. What is the first derivative of d(m) wrt m?\nAnswer: 276*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2771 and 10?\nAnswer: 27710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.515 - 2.969. Round y to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/90443466 and 71\/108297.\nAnswer: 633104262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(704)*-1)**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10141 + 30414?\nAnswer: 20223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*(-4 + (sqrt(171) - (sqrt(171) + (-2 + sqrt(171))*6)) + sqrt(171) + 0))**2.\nAnswer: -3840*sqrt(19) + 69424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*w + 0*w = 66*w - 24*w - 5328 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -j + 12, -2*j + 5*j - 4*w = 41. Let k(v) = -v - 2*v + j*v. Let o(h) = 3*h - h - 11 + 11. Calculate 6*k(r) - 13*o(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20854 and 12?\nAnswer: 125124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -600626 greater than or equal to -600653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*d**2 - 2*d - 9*d - d + 39*d**3.\nAnswer: 3*d*(d - 1)*(13*d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u + 13. Let t(c) = -3*c - 9. Let h(g) = 5*j(g) + 7*t(g). Let i be -12*(-1 - (-2)\/3). Let k = 6 - i. What is h(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 6, 13, 4, -27?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29652044 to the nearest integer?\nAnswer: 5445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42820 - -85383. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/25)\/l)\/(l\/l**26))**(-35) assuming l is positive.\nAnswer: l**(-4214\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19284 - 7930. List the prime factors of y.\nAnswer: 2, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3427 = -29*g - 2470 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -1\/6*u**4 + 0 + 16*u**2 - 1\/2*u**3 - 1\/3*u**5 + 0*u - 1\/60*u**6. Is l(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48636355, 97272716, 145909077, 194545438?\nAnswer: 243181799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/11 (b) 0.3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6352 and 816?\nAnswer: 323952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38169025261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4197 and 58.\nAnswer: 24.3426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451 = -9*h + 2494. Let v = h - 200. What is the smallest common multiple of v and 45?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46\/85 + -1\/17. Suppose 2*b + 5*l = -2*b - 33, -4*l = 5*b + 39. Let r = 6 + b. Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -56. Suppose -2*p - i*a + 29 = 0, 5*p + a = 4*p + 7. Solve 0 = -p*k - 2*k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**5\/60 + 5*c**4\/24 - 5*c**3\/3 + 2*c**2. What is the tens digit of y(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 344 and 950773?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*-6*4\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*b = -244*b + 3*u, -20*u = 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222122 (base 4) to base 3.\nAnswer: 10201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 7, -2, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 58 (b) 751 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjyyy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 6.03, 0.4, 2.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 333020781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 274 + 181. Let b = 79 - x. Let a be b\/(-16) - 116\/(-16). Solve a*o + 20 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 1:55 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0 + 2. Let d = -46 + 104. Suppose -4*o - 32 = -2*j + 2, v*o = -4*j + d. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9.70917002 and 455056.\nAnswer: 455046.29082998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*1 - 43\/(-115 + 29)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 13, u: 1, i: 1}.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*w**3 + 25*w - 5*w + 121*w**3 - 776.\nAnswer: 91*w**3 + 20*w - 776","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 11:24 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002614 rounded to seven dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 6 + r**2 + 0 - 3*r**2 - 4*r**3 as l*r + i*r**2 + u*r**3 + h and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (-11 - -3) - -1208. Is p\/18 + (-1)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50*r*s**5 + 12913*r*s**4 - r*s**3 + 23*r*s**2 - 12*r + 2135*s wrt s?\nAnswer: 3000*r*s**2 + 309912*r*s - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -63, -91, -119, -147, -175?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 475304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -4. Let b be (-34)\/(-8) + (-1)\/4. Suppose -g*w = -2*j + j + 5, w - b = 0. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 109 + 192 - 83.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5)*-3 - 16425035\/(-25). Suppose n = -2*u - k, 0 = -n + u + 2*u - 656997. What is n rounded to the nearest 10000?\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*n**3 - 38*n**4 + 11*n**4 + 75*n**3 = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*t - 4. Let s(z) = 2*z - 3. Calculate s(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-1)\/f)*f)**24*(f**(-1\/13)*f*f)\/f*f\/(f*f**(3\/7)))**(-1\/24))**(-10\/17) assuming f is positive.\nAnswer: f**(14635\/6188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 2*c - 4. Let r be n(4). Suppose 4*j + 197 = 861. Suppose i - 40 = -2*a, 4*i + 4*a - j = -a. Calculate the greatest common factor of r and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**4\/4 + p**2 - 19*p. Let u(h) = 3*h**2 + 139 - 139 - h**2. Calculate u(x(r)).\nAnswer: 18*r**4 - 24*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 3*a - 39 + 33, -5*i + 4*a - 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*j - 9 = -3*j, -i = 2*j. Let p(t) = -3*t**3 + 5*t**2 - 1. Let x = 68352 + -68347. Let c(f) = 3*f**3 - 6*f**2 + 1. Calculate i*p(w) + x*c(w).\nAnswer: -3*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 7*u + 42 = -339*s + 336*s, -6*s = 5*u + 56 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -7. Let u be (-1 - -1)*o\/6. Suppose u = 3*p + s + 4*s - 17, -s + 1 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54400 divided by 8\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -88 + 167 + 7*i**2 - 2*i**2 - 2*i - 81 + 0*i**2. Let x(j) = -14*j**2 + 6*j + 6. Determine -11*b(r) - 4*x(r).\nAnswer: r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 1 - 2. Let u be ((-1 + 1)\/q)\/(-2). Suppose -3*g + 2*w - 2 = 0, w = -3*g - u + 1. Is g bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 66, -12 in decreasing order.\nAnswer: 66, 2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r + 11*r**2 - 14 + 5 + r. Let l be 10\/(-10) + (-2 - (-6 - -8)\/1). Let v(i) = 5*i**2 - 2*i - 4. Calculate l*v(k) + 2*w(k).\nAnswer: -3*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1474)\/3)\/((-12)\/36000). Round s to the nearest ten thousand.\nAnswer: 1470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/4 - 45 - ((-2)\/2 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14144 = 21*u + 5*u. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246496377 and 22341.\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + t + t = 24, 3*t - 1 = -2*z. Let y be (-156)\/(-91) - 2\/z. Which is the nearest to -3? (a) 0.5 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 + 2*h**3 - h**3 + (1 - 3 - 7)*(-4*h**3 + 3*h**3 - 3*h**3).\nAnswer: 38*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177870 and 9156630.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275570, 551124, 826678, 1102232, 1377786?\nAnswer: 1653340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(108) - (-1*sqrt(108) + sqrt(108) - sqrt(108)) - sqrt(108))\/sqrt(9))\/(sqrt(864)*-1))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r + 4 - 3 - 1.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.87 - 0.13. Let b = 4.3 + t. Let x be (4\/(-7))\/((-30)\/42). Sort x, b, 2\/7.\nAnswer: 2\/7, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82160736 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 2*c**2 - 6*c + 7. Let f be x(6). Determine y, given that -13*y + 132*y**2 - 75*y**5 + 23*y**4 + 83*y**3 - 8*y**4 + f*y**3 + 37*y = 0.\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/207*(-222)\/360 and -57\/644.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 19, -15\/16?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnqnllnqnn. What is prob of picking 2 q?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (105\/28)\/(1\/(-4)). What is the units digit of (-2 - u)*(-2 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 5:05 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2. Let l(q) = 588*q. Give v(l(h)).\nAnswer: -691488*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39720 is divided by 39711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {o: 4, f: 1, h: 2, q: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(320) + (-1 + sqrt(320))*6 - (-1 + -4 + -1*sqrt(80)))**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u + 49*u - 40*u = 390 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 368.\nAnswer: 0, 5, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-21)\/(-2)*3476\/66?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/12 + 204\/9. Let l = -34 + j. Do -14 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:16 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 6 = 0, -385*y - 14 = 5*t - 387*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*h - 21. Let f be (-28)\/3 - -1 - 2\/h. Let u = f - -42. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 11*n**3 - 2*n**2 - 2*n - 1. Let o(v) = 54*v**3 - 11*v**2 - 11*v - 6. Give -11*f(d) + 2*o(d).\nAnswer: -13*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 s, 1 f, and 1 h when four letters picked without replacement from fsghc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1231, -2364, -3507, -4666, -5847, -7056, -8299?\n\"Answer: -d**3 + d**2 - 1129*d - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1428 - -782. What is the hundreds digit of l\/(-57)*57\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*g + 6. Let s be 11 + g + 0\/1. Suppose 0 = -26*n + 13*n + 13. What is the highest common factor of n and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292900974 to the power of 1\/3, to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 1, t: 1, w: 1, h: 2, i: 1}. Give prob of picking 1 i and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 552 and 149109.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306 divided by 22?\nAnswer: 653\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqcq when four letters picked without replacement from cqcqqccqqqcqqqcqqq.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -150972 divided by 3?\nAnswer: -50324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*x - 11027 = 19633. Calculate the smallest common multiple of 730 and x.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/5 (b) 1\/18 (c) 0.06 (d) -2.5 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**4 + 29*k**3 - 16*k**2 + 5. Let d(l) = 4*l**4 - 44*l**3 + 24*l**2 - 8. Let r(s) = -5*d(s) - 8*n(s). Suppose r(o) = 0. Calculate o.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17787455?\nAnswer: 5, 7, 508213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 8*v + 2. Let m be g(-8). What is the common denominator of 328\/(-42) + 7 - (-1)\/m and 107\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 9*y**2 + 8*y - 5. Let x be t(8). Let p be 8\/(-20) + (-6)\/x. Let i = 1.4 + -1. Which is the biggest value? (a) i (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-286 + 160 - 241 - 87)*(2 - 2 + 2*q).\nAnswer: 908*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 8:15 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/12 - 65\/78. Let n(a) = -4*a - 2*a - 5 + 4 - 3. Let q(i) = i + 1. What is c*n(h) + 4*q(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117)*-5)\/sqrt(9).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.773 + -0.013. Let p = z - 0.76. Which is bigger: 14 or p?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 17*u - 1. Let r be h(1). Let d be (4\/(-3))\/(2\/(-3)). Suppose -8*o = -3*o. Solve -2*q = -5*z - r, d*q + 4*z - 1 + 3 = o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + (sqrt(512))**2.\nAnswer: 10*sqrt(2) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -78? (a) 4 (b) -386 (c) 2 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**(1\/8))\/d*d*(d*d**(-2\/9))\/d)**(12\/13) assuming d is positive.\nAnswer: d**(137\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 1\/3*c**3 + 0*c**2 + c + 7. Differentiate r(n) with respect to n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*r - 36 = 0, -5*r - 36 = -0*l - 3*l. Suppose -14*y + 142 = -l*y. 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 highest common divisor of 240 and 8560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - m**2 + 0*m**2)*(-1 + 1 + 2*m**2) + (2*m - 2*m + 3*m)*(-2*m**3 - 3*m**3 + 2*m**3).\nAnswer: -5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3*((-2 + sqrt(2448))*4 - sqrt(2448)) - (-3 + sqrt(833) + 2 + 5)))**2.\nAnswer: -5050*sqrt(17) + 174042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -111099492 to the nearest one hundred thousand.\nAnswer: -111100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7180 * 0.0281.\nAnswer: -201.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 66*-2.55\nAnswer: -168.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*p + 9. Let q(i) be the third derivative of i**4\/4 - i**2. Let n(s) be the second derivative of 7*s**3\/6 + 70*s. What is p*q(d) - 5*n(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -15. Let s = 16 + -10. Let i = 5.6 - s. What is the third smallest value in i, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/25)\/((-8)\/20)*5. Let n(t) = 3*t - 5. Let v be n(s). Suppose 7*h - v*h = 5*g + 506, 2*h = -4*g + 374. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/2292425?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -6386768?\nAnswer: 3\/6386768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.13 + 28. Which is the closest to 0? (a) t (b) -1\/10 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsp when three letters picked without replacement from sopoppvp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*d + 0*d + d + 2*d + d - d - d + d - 2*d + (-3 + 2*d + 3)*(4 - 3 - 3) + (-3 + 1 + 0)*(2*d + 4 - 4) - 2 + 2*d + 2 - d - 3 + 3.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + sqrt(1539)*-2 + 3 + (sqrt(1539) + 1)*-3 + -3)*3 + 2 + -4.\nAnswer: -108*sqrt(19) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13477487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**6\/70 - 3*k**5\/70 - k**4\/28 + k**3\/7 + 10*k - 54. Let j(y) be the first derivative of i(y). Factor j(g).\nAnswer: 3*g*(g - 2)*(g - 1)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 2*l - 2. Let h be g(-3). Let m = -117\/296 + 10\/37. What is the smallest value in 1\/4, 2, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1900192?\nAnswer: 2, 7, 17, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 1)*(3 + n**2 - 3) - 4*n**2 - 4*n + 4*n)*(n**2 - 7*n**2 + 3*n**2).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 + (-88097)\/(-3). Suppose 4*h = -3*g + 3*h - 51502, 2*g = -h - 34336. Let k = s + g. Round k to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3 + 1 = 4*n, 5*n = -5*r + 5. Suppose r*z = -2*z + 400. Let j = 23 + -15. Calculate the greatest common divisor of z and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/(-2)*((-6)\/(-5) - 0). What are the prime factors of -20*((-6)\/(-27) + 1241\/r)?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (690\/(-644))\/((2 + 8)\/20)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*i**2 - 40*i + 64*i**2 - 64*i**2 - 79*i**2.\nAnswer: -156*i**2 - 40*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 642 divided by -11.\nAnswer: -642\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 110*a + 3404 + 256 = 0 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-60)*-4)\/((-4)\/(-66))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*a - 8652 + 2830, 0 = 5*d - a - 14582. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i + 18*i. Suppose -3*j + 88 + 482 = i. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 - 0.26. Let v = i - -0.48. Which is greater: -4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-2)\/30)\/(28\/(-35))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 2, x: 1, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 8*s + 2*s)*(3*s + 0*s - s + (1 + 1 - 1)*(2*s + s - s) + 3*s - 3*s + s - 4*s + 2*s + 4*s).\nAnswer: -63*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2086 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*l - 11654 = -7224 - 7774 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 311 and -47?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 1. Let p(g) = g**2 - 6*g + 2. Let q be p(6). Let w be y(q). What is the first derivative of 4*t**2 - 4*t**2 - w - 2*t**3 wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1080)\/(-3300)*((-1)\/(-5) + (-574)\/(-630)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 43*g**2 - 84*g - 93. Give k(-41).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8931*v**3 + 62519*v**2 - 107186*v + 24 = 0. What is v?\nAnswer: 2\/8931, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2901075 divided by -38681\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5182 - 5180. Let q(j) be the third derivative of 0*j - 23*j**r + 27\/20*j**5 + 1\/6*j**3 + 0 + 3\/4*j**4. Suppose q(w) = 0. What is w?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 716 - 4301\/6. Which is the closest to -1\/3? (a) -4 (b) 0.4 (c) 0 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -199279, -398571, -597877, -797197, -996531, -1195879, -1395241?\n\"Answer: -7*p**2 - 199271*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-68)*(-56)\/(-98).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 32726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -365802*f + 365281*f - 16672 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 plus -15549041?\nAnswer: -15549044.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/6)\/((-28)\/24). Which is the closest to x? (a) 0.02 (b) 0.5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (10488\/60)\/(-23)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 143 = 4*v. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**3 + 124*j**2 + 118*j - 63. Let a be t(-30). Let k = 1 + 0. What is the closest to k in 6, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6234 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33014202*j**4 + 3*j**3 - 64*j**2 + 8*j + 7317.\nAnswer: 792340848*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 8 - -16 - (-3 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 396618 and 14.6199.\nAnswer: 396632.6199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 43\/6. Let j = 229742\/5 + -45948. What is the fourth biggest value in 3, f, j, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -44*c - 3. Let f(y) = -9027*y. Calculate d(f(z)).\nAnswer: 397188*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 421, 825, 1203, 1561, 1905?\nAnswer: 2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10788465 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -259 - -267. Solve 0 = r*p - 3*p - 15, 2*p = -c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49379087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from rurrrrurrrrrrrru.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -420316 (base 9) in base 12?\nAnswer: -100520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 277720943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2. Let c(j) = 206813*j**2. Calculate c(g(a)).\nAnswer: 827252*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from ygyhfggggyhygfygyg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 42\/30*21\/147\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-180)*-25*(-8)\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -219, -4, 1, 1036, -11 in decreasing order.\nAnswer: 1036, 1, -4, -11, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(1900)) - -2*sqrt(1900)*1.\nAnswer: 4 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.42026684 to two decimal places.\nAnswer: 1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57502 is divided by 1155?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 10*i - 36 = 0. Suppose -i = 2*m, 5 = -5*t - 3*m + 1. Suppose t = g - 7. Solve 8*p + g = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -37 - (-1 + (-5 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11008 is divided by 155?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 4:38 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 0*a - a + 106, -19*t + 184*a - 189*a = 394 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 6:26 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24756.23 less than -13?\nAnswer: 24743.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 15) in base 12?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 5*h + 2. Let v be a(-5). Suppose 3*z = v*o + 53, -z - 5*o - 5 = -0*o. Suppose 0 = -5*g + z + 85. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -8. What is the second smallest value in 0.5, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 18 - 29 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1355172?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3694356340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4877619700 to the nearest one million.\nAnswer: -4878000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(0 + 3 - (-14)\/(-4)). Put 1, -3, a, 0 in decreasing order.\nAnswer: 1, 0, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137\/4 - -35. Let y = -16403 + 65987\/4. Factor -225\/4*f - y - 45\/4*f**2 - n*f**3.\nAnswer: -3*(f + 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -508280 to the nearest 1000.\nAnswer: -508000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 2 - 3*b + 16.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4938803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (17 - 4 - 17)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -254.83 * -1.\nAnswer: 254.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -74792*v - 21. Let n be j(-10). Suppose -r = 3*u + 3*r - n, r + 249288 = u. Let m = u - 120293. Round m to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32696*p + 157104 with respect to p.\nAnswer: 32696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*r - 8*r - 2*r)*(-r + 5*r - 2*r) + r**2 + r**2 - 4*r**2)*(0*r - 1 - 3*r + r) to the form c + v*r + q*r**2 + t*r**3 and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10032 divided by 2\nAnswer: -5016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 1 + 5*i**4 - 1 - 6*i**4)*(-4 + 1 + 5).\nAnswer: -2*i**4 - 2*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -41\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4613*p - 4497. Does 18 divide n(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -163, -280, -453, -688, -991, -1368?\nAnswer: -1825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-seven halves of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7392 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-10 + -1 - -14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 1 + w**2 - 10 + 378*w.\nAnswer: w**2 + 378*w - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -16815 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 121.9 + -121.8. Sort x, -2, -0.04, -1.1 in decreasing order.\nAnswer: x, -0.04, -1.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47520 and 66564630?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 33*h**2 + 32*h + 15. Let z be j(32). Solve -3*b - 15 = 3*g, -2*b + z = g - 6*b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -201\/46 in -1\/7, 1, 2.52?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**2 + 50*f\/7 + 71\/7 = 0. What is f?\nAnswer: -1, 71\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7378 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -754.4*16.\nAnswer: -12070.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5058*c - 590 = 5068*c for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 42*a**2 + 47*a + 104. What is p(-43)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*f - 2*y = 61*f - y + 317, 5*f - 3*y = -17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**3 + 6*h**2 + 7*h - 4. Suppose -4*a + 5 = -3. Let o(s) = 2*s + s**a - 8 + 7 - s. Give 6*o(m) - x(m).\nAnswer: 3*m**3 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*t + 6*t - 250, -4*t = -w - 235. Calculate the highest common factor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 7. Let n(p) = 2*p - 7. Let v(d) = 2*n(d) + 3*u(d). Let k be v(4). Let z = k + 6. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 + 99439883431\nAnswer: 99439883429.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -39259*h**2 + 32*h - 13. Let g be a(11). Round g to the nearest 100000.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**7\/(v*v**(-25))*(v*v**(-2\/3)*v*v)\/v**20 assuming v is positive.\nAnswer: v**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 1. Let c = 13 + -18. Let x = 2.05 - 1.65. What is the third biggest value in z, c, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2 = b + 5, 2 = 2*n + 2*b. Find the second derivative of x**5 - 11*x**5 - 23*x**5 + 44*x - n*x**5 wrt x.\nAnswer: -700*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c307 (base 13) in base 5?\nAnswer: 33041202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 0*d**2 + 4*d**2)*(2 + 2*d - 2)*(-4 - 1 - 10).\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - x = 6, 5*t + 4*x - 17 + 15 = 0. Solve 0 = -2*c - 4*n + t, -2*c - 3 + 2 = n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 593287.7 centuries?\nAnswer: 711945240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -24 + 20 + 32*19*-2. What is t rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3166 by 674.\nAnswer: -1583\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -7, 6, 2\/9, -2, -23?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 11:49 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 7*q - 1 - 8*q + 2 + 18*q. Let a(r) = 69*r**3 + 18*r - 125. Let c(p) = a(p) - 6*n(p). Differentiate c(v) wrt v.\nAnswer: 189*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80*-0.09724\nAnswer: -7.7792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6772 + 0.149235015.\nAnswer: -6771.850764985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 82, -3, -5.\nAnswer: -5, -4, -3, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5013606*v**3 + 4*v**2 + 660252*v + 2 wrt v.\nAnswer: -30081636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (9 - (-7 - -8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8466*h**3 + 2*h**2*m - 2*h*p*r + 581*m + 4*p - 4*r with respect to h.\nAnswer: -25398*h**2 + 4*h*m - 2*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (245\/45 - -1) + -6. What is the closest to -3 in 1, 2, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 5*k**3\/3 - 3*k**2\/2 - 3*k + 3. Let u be n(-2). Suppose -g + u + 13 = 0. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 - 3. Let m = x - 98.99894. Round m to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.203 minus 147482.2566?\nAnswer: -147676.4596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/5 + 23*d**2 + 2132*d\/5 - 4716\/5.\nAnswer: -(d - 131)*(d - 2)*(d + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**5)\/(h*h\/(h\/h**(-2)))*((h**(-10\/7)*h)\/h)\/h**(-9))**(-1\/7))**45 assuming h is positive.\nAnswer: h**(-4590\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25522.9 + -2975.4.\nAnswer: -28498.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/35910 and -49\/477090.\nAnswer: 3339630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 111 - 5831. Calculate the common denominator of -19\/24 and (-1221)\/r + 4\/(-26).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/11 (b) -0.05 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = i. Suppose -23 = -4*h + 1. Let n(l) = -l + 5. Let m be n(h). Is i at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 24 + 21. Let i(k) = -7*k**2 - 6*k. Let y(q) = q**2 + q. Give b*i(w) + 5*y(w).\nAnswer: -2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*x + 260 = x, -178 = -3*o - 2*x. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -10. Suppose 4*u = 4*t - 2024, -4*t = -0*t - u - 2021. Suppose -o*g + 1295 + t = 0. Calculate the highest common divisor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5907 by 10.\nAnswer: -5907\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-11)\/((b\/(b**17*b))\/b)*b\/(b*b**(-1\/6)\/b)*b*b\/(b\/b**(2\/7)) assuming b is positive.\nAnswer: b**(397\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33248, -132990, -299234, -531986, -831252, -1197038, -1629350, -2128194?\n\"Answer: -n**3 - 33245*n**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.73*-136191.9.\nAnswer: 99420.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2901.4 times -0.4?\nAnswer: 1160.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + -3 + 15\/3. Let t(n) = -2*n**3 - n - 2. Let x be t(h). Suppose k = 46 - 14. What is the greatest common factor of x and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -483, 3, 5 in decreasing order.\nAnswer: 5, 3, -483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91*397\/(-2779)*1*5\/(-1).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 2, r: 3, u: 2}. Give prob of sequence kkr.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/(65\/(-10)) + (-65)\/1. Which is smaller: -199\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.090738 - -12.5888.\nAnswer: 12.498062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 417206 to the power of 1\/2, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*d + 268 = 0, -4*x + 0*d + 263 = -3*d. Calculate the remainder when x is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l\/(l**(1\/4)*l)*l)\/l*l))**7*(l**(4\/7)*l)\/(l\/(l*l**(-3\/4)*l)))\/((l\/(l\/((l**(-1\/10)\/l)\/l))*l*l**6)\/(l*l**(1\/4))**(-4\/7)) assuming l is positive.\nAnswer: l**(-633\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 4:21 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 41 + 17 - 21*t - 63. Let n(y) = 10*y + 2. What is -2*c(u) - 5*n(u)?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h - 41. Let m be f(22). Suppose 29*c - 2872 = m*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/15 + (-194)\/(-6). Suppose -5*i + 1886 = -4*c - p, -4*i = 2*c - 1550. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -11*p + 26. Let i(f) = 5*f - 12. Let x(j) = -13*i(j) - 6*l(j). Let t(o) = -5*o**2. Determine t(x(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 175, 8 in decreasing order.\nAnswer: 175, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245454 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -8, 1.25894?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000152277 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/17 (b) 2\/5 (c) -7\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 i, and 1 s when three letters picked without replacement from plrpelsi.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 231757 = -6*q - v, 231781 = q + 5*v. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-10))\/(1\/8). Let o(y) = 6*y + f + 3*y**3 + 0*y**3 + 7*y**2 - 2*y**3 - 6. Give o(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1912196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**3 - 42*r**3 + 81*r**3 - 29*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -16*n**2. Let z(t) be the third derivative of -43*t**5\/15 + 84*t**2 + 15*t. What is s(z(p))?\nAnswer: -473344*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 10, 23, 40, 61, 86, 115?\n\"Answer: 2*t**2 + 3*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 14604?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(1 + sqrt(176)) + sqrt(176) + -2.\nAnswer: -8*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (0 - 0\/(-2 + 0)). Solve 4*k = 4*y + k + 1, 7 = -r*y - 5*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 6. Suppose 0 = -7*y - 26 - 9. Suppose 0 = -3*t - t. Sort l, y, t.\nAnswer: y, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) 88\/5 (c) -0.3 (d) -1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72.971 - -73. Let v = 20.029 - w. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 101*j - 26. Let v(m) = 50*m - 14. Let t(a) = -6*p(a) + 11*v(a). Let q be t(1). Let f = q - -138. Calculate the remainder when f is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33662461 is divided by 2752.\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = f - 11, 3*h + f + 3 = 4*f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 187834119276.3.\nAnswer: 187834119276.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -3 + (61 - (18 - 6))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w + 8*w + 5*w. Let z(l) = 23*l - 6. Let h(y) = 79*y - 21. Let j(o) = -2*h(o) + 7*z(o). Calculate c(j(m)).\nAnswer: 54*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 918644?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -19902120 divided by -8265\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 5*q**4\/12 - 5*q + 10. Let t(p) be the first derivative of b(p). Let m(j) = -3*j. Give t(m(s)).\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -295? (a) -2\/5 (b) -0.2 (c) 5 (d) 4 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*(sqrt(76) + -1 + -3 - 5*sqrt(76)*2) + 4))**2.\nAnswer: 153900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -614756486582?\nAnswer: 614756486581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.228694 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27404 is divided by 193.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*h**2 + 97*h**2 + 128*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1732672 and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3411 + -3418. Let f = -0.1 - -0.3. Put 5, u, f, -2\/7 in ascending order.\nAnswer: u, -2\/7, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 + 18*y - 17. Let n(i) = -5*i**2 - 19*i + 16. Let s(q) = -6*n(q) - 7*z(q). What is the tens digit of s(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m + 3*i = -39*m + 18 + 51, -4*m + 33 = 3*i for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10f2 - 5?\nAnswer: 10ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and -6139.886.\nAnswer: 11665.7834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1008 and 837576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, 172, 2, 0.1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 9*j**2 + 3090*j + 3081 = 0.\nAnswer: -1027\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, n: 1, b: 1, k: 1, w: 1, d: 2}. Give prob of picking 1 k and 2 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(150)\/sqrt(3))\/sqrt(10))**2 + sqrt(5) + 1.\nAnswer: sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.5, 293\/6, 0.28, 3\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 7*d**2 + 25. Let k(l) = l**3 - 3*l**2 + 12. Determine -7*k(v) + 3*t(v).\nAnswer: -4*v**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*t**5 - 2*t**4 + 917931*t**3 + 4*t**2 + 17648654 wrt t?\nAnswer: 1440*t**2 - 48*t + 5507586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/374 + (-93)\/858.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) 0.3 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1479 divided by 85\nAnswer: -87\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 15*g**2 + 0*g - 1\/120*g**5 + 0 - 1\/24*g**4 - 1\/12*g**3. Solve f(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 217400, 434803, 652206?\n\"Answer: 217403*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4661*q + 73*q = 2700*q + 444568 for q.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12801062, -1, 0.1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.9 and -154.1147.\nAnswer: -155.0147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.075 + -0.475. Sort -13, f, 2\/13.\nAnswer: -13, f, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5\/5 + 21*z**4 - 1167*z**3\/5 + 1059*z**2\/5 + 6024*z\/5 + 3696\/5 = 0. Calculate z.\nAnswer: -44, -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 1. Let t be g(-4). Let m be (5\/(-15))\/((-1)\/3). Which is smaller: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w - 1. Let z be -3 - ((-8240)\/(-4110) + -5). Is w greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - (-6 - -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42078367 is divided by 51128?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 21305783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42247 + 1?\nAnswer: -42246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -147*t**2 - 34532*t + 3059. Give b(-235).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1455 = -4*a, -5*a + 4*u + 1611 = -192. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*x - 50*u + 48*u, -4*u - 11 = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 24420 = -6708. Suppose x = 4*y + f, 0*y - y - 2*f + 745 = 0. List the prime factors of y.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**2\/2 + 2*j + 2. Let u be m(-3). Is 93\/(3 - 0) - u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 6. Let k(g) = 180*g + 1264. Let v be k(-7). Solve -o = 3*w - v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -152043 - 1a3b?\nAnswer: -153a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z**3 + 5*z**2 - 5*z + 6. Let w(o) = 6*o**3 - 4*o**2 + 4*o - 5. Let v(d) = 4*b(d) + 5*w(d). Let m be v(1). Let f = 32 - m. Is f 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 905467 and 10614.\nAnswer: 331400922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835328 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -49.3657 from -79524.\nAnswer: -79474.6343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*g**3 - 2*g**2*m**2 + 2*g*m**2 + 40*g wrt g.\nAnswer: 42*g - 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let l(t) = 12009008*t**2. What is y(l(w))?\nAnswer: 12009008*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125\/(-100) + 2*(-2424)\/576.\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/17 (b) 0.1 (c) 126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011011011101 + 11?\nAnswer: 1000011011100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 16, -1, -3\/11 in decreasing order.\nAnswer: 16, 5, 4, -3\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(10)\/(-2*sqrt(72)) + 0.\nAnswer: -3 - sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhu when three letters picked without replacement from {h: 1, p: 2, a: 2, u: 1, b: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**2 - 15*o - 6. Give h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35278.4 + -35278. Let m be ((-9)\/30)\/((-18)\/435). Sort m, l, -4.\nAnswer: -4, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-11))*f**(-1\/6)*f)**(-37)\/((f\/f**(1\/11))\/f*f**(-7)*(f**2)**(-7\/2)) assuming f is positive.\nAnswer: f**(25757\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/7987 and 83\/26656.\nAnswer: 4344928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(432).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 + 36*r**2 - 28*r - 83. Let n be b(-13). Are -256 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -7*v**4\/6 + 11*v**3\/6 + 3*v. Let t(x) = -5*x**2 + 4*x. Determine 4*h(f) - 11*t(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200784 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 13 = 3*x + a, 24 = 4*x + 3*a. Let o(v) be the second derivative of -v**2 - x*v + 0 - 1\/2*v**3. Find the first derivative of o(p) wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 2. Let k(y) = -y**3 - 6*y**2 - 6*y - 10. Let l be k(d). Let m = l - -19. Calculate the highest common factor of m and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 14*k**2 + 38*k - 36. Let t be b(-30). Let w = t - -59933. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55970 divided by -5.\nAnswer: -11194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 15. Suppose -r - f = -5*l, -2*r - 6 = -l + 5*l. Let z be (-10)\/(-2)*(-1 - -2). What is the smallest value in -4, z, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*l = 216*l - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 4*a**2 + 4*a + 6. Suppose -4*z + 7 + 1 = 0, 0 = n - 3*z - 2. Let l = n - 3. What is the units digit of b(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/13 + 1078*o**3\/13 + 14700*o**2 + 820456*o - 6492304.\nAnswer: 2*(o - 7)*(o + 182)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**2 - k**2 + k**2 + (2*k + 0*k + 0*k)*(0 - 2*k + 0))*(62*k + 64*k - 41*k) as h*k**3 + q + z*k**2 + w*k and give h.\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 24*o**4 + 2*o**2 + 15*o. Let h(x) = -x**2 - x. Let z(w) = 2*h(w) + m(w). What is the second derivative of z(c) wrt c?\nAnswer: 288*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -2. Let j be (-14)\/7 + 4*1. Which is the closest to j? (a) -2 (b) 3\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**3 + 14*h**2 - 2067. Let y(i) = -3*i. Calculate s(y(g)).\nAnswer: -27*g**2 - 84*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*v - v**2 + 3*v**2 - v**2 in the form y*v**2 + r*v + g and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000102022 + 11?\nAnswer: 1000102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 355\/2 >= 179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11511141 (base 6) to base 2.\nAnswer: -1011001100111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y**2 - 37*y - 140. What is the remainder when i(-23) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from {z: 4, l: 3, s: 3, p: 2, t: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 442, 23, -13, -2, 5, -10 in descending order.\nAnswer: 442, 23, 5, -2, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -98668*g**3 - 6*g**2 - 12*g - 11. Is c(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 44816383.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -93.4 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40453, 47011, 53569, 60127, 66685, 73243?\nAnswer: 79801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*j*u**2 + 49*j*u + j - 6*u**5 - 4 wrt u?\nAnswer: -12*j - 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v + b - 5, 3*b = -2*v + 3. Let r be (v\/(-18))\/((-2)\/(-8)). Which is bigger: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24955 rounded to 3 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mufmdvuuuhdumuf. What is prob of sequence uvf?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 951*u + 270813 = 261303 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3463264 and 448?\nAnswer: 6926528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4. What is the nearest to 0 in 2, z, -9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.5, -7.9 in ascending order.\nAnswer: -7.9, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 420527281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/2679 and -43\/470.\nAnswer: 26790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 57 = 4*v - 39, 2*u = -3*v + 182. Let r(x) = -x**2 + 8*x - 4. Let m be r(5). What is the highest common factor of u and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(0 + sqrt(17)*-2))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*q + 169734*j**2 + 27*j*q - 13199*j + q wrt j.\nAnswer: 2*q + 339468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -728 or -727?\nAnswer: -727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 25 = 14*u. Suppose -4*y + 16 = 0, u*a - y + 20 = a. Which is greater: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/4 - 75*p**3 - 3303*p**2\/2 - 10773*p - 78003\/4 = 0.\nAnswer: -9, -3, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 12:33 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1127761817?\nAnswer: 7, 13, 43, 288209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 130. Let w(x) = -28*x**2. What is w(k(l))?\nAnswer: -112*l**2 + 14560*l - 473200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -663 + 663. Solve 5 + s = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12)\/30 + (-876)\/(-15) is divided by -2*20\/(-1 + -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1080)*2)\/(sqrt(12)\/sqrt(2)*-3) + 0)*3.\nAnswer: -12*sqrt(5) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 + 183. Let v = -96 + k. Which is the second smallest value? (a) 5 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbc when three letters picked without replacement from vnbncchnbnhv?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.24618 weeks in milliseconds?\nAnswer: 14664089664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 24 = -2*l, 4*l + 4*s - 7*s = 48. Let r(x) = 8*x + x**2 - 7 + 10*x**2 + 11 - l*x**2. Determine r(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34026 and 123702?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v + 28. Let u be q(-4). Suppose -z = -2*x - 6, -5*z + 4 = -u*x - z. Sort -4\/7, -4, 0, x in decreasing order.\nAnswer: 0, -4\/7, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*y**3 - 28*y**3 - 27*y**3 - 32*y**3.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - (-3 - -10257))*126\/35. Round p to the nearest one thousand.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213781, -855096, -1923945, -3420322, -5344221, -7695636?\nAnswer: -10474561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*m + 55, -2*m = -5*s + 15 + 52. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1415a + 1ba5?\nAnswer: -12285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g = -3*a + 21, -4*g + 4*a = 0. Suppose 0 = -0*x - x + 3, -37 = -4*l - g*x. Solve -5*m + l = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14 - 2\/(-1 + -1). Suppose 0 = -393*l + 352*l + 287. Solve 0 = -l*h + 2*h - b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-10))\/2)\/((-234)\/(-65)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116758 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -470530 divided by 211\nAnswer: -2230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 53*p + 19337. Determine s(-115).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-25) - (-28)\/5. Let u be (-4)\/t + 40\/6. Suppose -2*k - 4*s = -10, 0 = -k - 4*s + u + 3. Solve 0 = v + 2 - k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 4*a - 1. Let s be t(-6). Let b = -15 + 7. Let r = b - s. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 19) + (-1 - -5) + -1 + 3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3449 = 2783. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j - 3. Suppose 3*c = 129*m - 132*m - 12, -2*m = 5*c + 2. Let k(p) = 4*p - 4. Calculate c*d(f) - 3*k(f).\nAnswer: -2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83*h**3 - 12*h**2 + 14*h**2 + 16*h**2 - 21*h**2 - 311 - 2*h**4 + 5*h**4 wrt h?\nAnswer: 72*h + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(18) + sqrt(77)\/(sqrt(11)*-2) - ((sqrt(4032)*2)\/((sqrt(20)\/sqrt(5) + sqrt(4))*4))**2.\nAnswer: -63 - sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 9) to base 8\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + 148 - 22 - (49 + -2)?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 8 = 0, z + 8 + 0 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229449*-0.06.\nAnswer: -13766.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04807 - 0.0506. Round f to 4 dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-10))\/((-3)\/20). Let o(l) = l**2 - 12*l + 15. Let d be o(x). Let f(p) = -24836 - 7*p - 24840 - 7*p**2 - p**3 + 49675. Determine f(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 3*m + 3. Let s be v(3). Suppose -5*h - 8 = -18. Suppose -4 = h*t - 34. What is the highest common divisor of t and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 11. Suppose 1 = j - 2*h, -p*j + 4*h + 7 + 4 = 0. Suppose -3*c + 3*y = -6, -5*y = -j*c - 3*y + 7. Calculate the remainder when 8 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -15\/326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - l + 35 - 4 = 0, -l = -4*g - 43. Let b = -13 - g. Let r be 1 + (-6)\/(-21) + b. What is the closest to 0 in 1\/2, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - f = 2*s + 7, -4*s + 5*f + 6 = 0. Let t(n) = 3*n. Let i be t(s). Let j = 2.45 - 1.95. Which is the closest to -1\/2? (a) i (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3e282 (base 16) to base 3\nAnswer: 110221020102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5474 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21494, -58723, -95954, -133187, -170422?\nAnswer: -207659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*h**4*z - 7*h**3*z**3 - 3*h*z**3 - 49*z wrt h?\nAnswer: 936*h**2*z - 42*h*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/90 + (-138)\/(-1242).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130346 or -130364?\nAnswer: -130364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(832)) + 5 + (sqrt(325)*1 - sqrt(325)) + -5 + -1 + (sqrt(325) - 1*sqrt(325)))**2.\nAnswer: -96*sqrt(13) + 29953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22061 - -110301\/5. Which is the closest to 181? (a) s (b) -2\/13 (c) 0 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, x: 1, k: 1, v: 1, u: 4}. What is prob of sequence vvxi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(36)\/sqrt(8))\/(sqrt(81) - sqrt(81)*2 - sqrt(9)).\nAnswer: -3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s - 5. Let k be s\/5 + (-22)\/55. Suppose k*i + 2*i - 3*a = 105, -i + 45 = -4*a. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/11 - 2185824*k\/11.\nAnswer: 2*k*(k - 1092912)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-8)\/460 + 558\/(-69).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1646395.\nAnswer: -1646392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/27)\/(1\/(-12)) - -59. Suppose l*b - 100 = 51*b. Is 25 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 8*a - 36*a + 25*a + 6*a + 4.\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82948412*i**2 + 1128690860*i?\nAnswer: 165896824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 - -1.05. Let n = i + -1.2. Let l = -0.07 - -3.07. Which is the second biggest value? (a) n (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 8\/((-2)\/2). Suppose 0 = 2*g + h + s, 16 + 4 = -4*h. Let t(n) be the second derivative of 2*n**3\/3 + n. Calculate t(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38671, -77343, -116023, -154711?\n\"Answer: -4*n**2 - 38660*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.036 in -1.55, 4, 2, -1.29, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1222*z - 967. Is k(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120543 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 10:00 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 5*a - 7. Let h be k(6). Let i be (-5)\/(-6)*6\/45. What is the third biggest value in -3, h, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g + 18 = 0. Suppose -i + 7 = -g. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28147741 - 5*o**3 - 5*o**3 + o**3 + 28147741.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6335 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 10*u + 28. Let i be w(10). Suppose -4*v - v + 225 = 5*g, 5*g + 111 = 3*v. What is the highest common divisor of i and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-6) + 1072\/48 is divided by 2\/(((-8)\/26)\/(-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255844551\/2960 + -86434. Calculate the common denominator of -67\/28 and f.\nAnswer: 20720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93622 is divided by 46720?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/3 - 120*d**2.\nAnswer: 2*d**2*(d - 180)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/9*6\/(-14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2089, -3663, -5237, -6811, -8385, -9959?\nAnswer: -11533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 2387.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 0*g**4 + 29*g**2 + 5\/6*g**3 - 1\/6*g**5 + 0 + 0*g. Differentiate h(i) wrt i.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**3\/6 - 9*j**2\/2 - j. Let o(b) = -113*b + 462. Let c be o(4). Determine g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79207 or -79209?\nAnswer: -79209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/33)\/g)\/g*g*g\/(g\/(g\/(g**(2\/5)\/g)*g))*g*g)\/(g**(-4)\/g)**(-41))**(5\/14) assuming g is positive.\nAnswer: g**(-33241\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 821*n**2 + 35*n - 13. Is o(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1416 and 8?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 958512 and 33632?\nAnswer: 1917024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*p = 17*p + 46920. What is the greatest common divisor of 34 and p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/21683 + 47420797\/411977. Let a = y + -115. Let r = -1 - 0. What is the nearest to r in 1, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.53349 + 1.539. Round f to four dps.\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v + 18*v + 5 - 5.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4 + 24*w**2 + 24 - 44*w**2. Let h(j) = j**2 + j - 2. Let i(b) = c(b) + 15*h(b). Factor i(g).\nAnswer: -5*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6777221 is divided by 2275?\nAnswer: 2271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m - 4230 - 664 - 92*m**3 + 2*m**4 + m - 4036 - 461 wrt m?\nAnswer: 8*m**3 - 276*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12392026, -24784051, -37176076, -49568101, -61960126, -74352151?\nAnswer: -86744176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**2 + 2*n. Suppose -86*m + 82*m + 8 = 0. Let g(j) = 9*j + 29*j + 29*j + 154*j**m - 4*j. Calculate -2*g(v) + 63*w(v).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-45)*a)\/a*a**31*(a\/(a*a**(11\/8)))\/(a*a*(((a**(8\/5)\/a)\/a)\/a)\/a) assuming a is positive.\nAnswer: a**(-519\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 + -557\/5. Suppose 13 + 11 = 6*h. Let i be (6\/(-18))\/(h\/9). Which is the third smallest value? (a) j (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**4\/8 + 29*d**3\/4 - 841*d**2\/8 = 0.\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 5*f + 25, -5*a = -a + 4*f - 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (3 - 11) - (996 - 931)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137559 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = 8 - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 52. Let b(x) = -3*x**2 - 2*x - 4. Let p(w) = w**2 + w + 2. Let q(j) = u*b(j) + 6*p(j). Let i(g) = -2*g**2 - 7. Give q(i(r)).\nAnswer: -12*r**4 - 84*r**2 - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8 + (-1)\/4 - (-8910)\/6237. Suppose v*o**2 + 18\/7 - 15\/7*o = 0. What is o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3046 + 3107. Which is the closest to 6? (a) s (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 4:12 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -471 - 12?\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9545921.\nAnswer: 7, 11, 123973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4098132 - -0.41. Round k to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2197467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530 = 9*h + 494. Which is the nearest to -2? (a) 2\/7 (b) -11 (c) 5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*247\/(-570)*-80.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 979 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 0*g + 19 - 203*g**2 + 3 - 15 - g as q*g + n*g**2 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 13*n - 2 + 19*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 30 = 7*u. What is the highest common divisor of 45 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000001101111000 (base 2) to base 11\nAnswer: 68585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a factor of 6302400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -61b (base 12) to base 11\nAnswer: -737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**4*n + 7*i**4 - 964*i**3*n + 31*i**2*n - 4*i*n - 4*i + 26*n wrt i.\nAnswer: 72*i*n + 168*i - 5784*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 0.12, -1\/25, 2\/7, -3, 68 in decreasing order.\nAnswer: 68, 4, 3, 2\/7, 0.12, -1\/25, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 19. Let o be b(-11). Let r be 9079*-76 + o\/(-2). What is r rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182860099 + -1?\nAnswer: -182860100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 2*f + 3. Let g be r(-5). Suppose -a + g = 4*j + 52, 3*j = -12. Let z = 52 + a. What is the remainder when z is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 5*w + 88 = 0. Let a = w - 3. What is the remainder when 48 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 306*n. Let m(z) = -20*z. What is b(m(l))?\nAnswer: -6120*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37611 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9411821 from 0.843.\nAnswer: -9411820.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1) - (14 + 0). Let q = 13 + g. Let h be (-16)\/65 + (-16)\/104. Which is the closest to q? (a) 3\/2 (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291*r + 627494756 - 2206377956 = 35*r. What is r rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, 21, -0.1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 10 (c) -6 (d) -2\/11 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*l**2 + 175*l**2 + 206*l**2 + 202*l**2 - 45*l**3 - 771*l**2.\nAnswer: -45*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*w + 87*w - 43*w - 189 + 157.\nAnswer: -2*w - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12669*s + 8088*s + s**2 + 4581*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 4 = -5*t. Let u be ((-32)\/40)\/(t\/(-10)). Which is greater: 10 or u?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37477\/1428 - -2\/357. Let j = h - 26. Let w = 13.9 - 12.9. Which is the third smallest value? (a) j (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/22)\/(13*8\/(-624))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67740.\nAnswer: 2, 3, 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 12 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/15 + 342*j**2\/5 + 58482*j\/5 + 3333474\/5 = 0. Calculate j.\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-16)\/(-4)))\/(1\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Let s = x + -1. Let h = -258363 - -516725\/2. Which is the closest to h? (a) -0.5 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*y + 2746 = 749*y - 658 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 + 106. Let a be (12\/9)\/(4\/6). Suppose 2*p + 4*o - 2 = 4, 6 = 2*p - a*o. Solve -p = l - w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16109846?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*x**5 - 2*x**4 - 1461*x**2 - 7360*x + 24?\nAnswer: 360*x**3 - 24*x**2 - 2922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1272, 1336, 1442, 1590, 1780, 2012, 2286?\n\"Answer: 21*c**2 + c + 1250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 408 - 12. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23978 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 25 = 247. Let c = 217 - n. Let s = 0 - 0. What is the closest to s in 0.5, c, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 14 = 2*w. Does 11 divide 12\/(-84) + (-310)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223721241?\nAnswer: 3, 17, 67, 233, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 - n**2 + 5*n**2 + (34*n**2 + 771*n**2 - 156*n**2)*(-22 - 8 + 9).\nAnswer: -13628*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110021120202211 (base 3) in base 8?\nAnswer: 30713152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-18))\/((-8)\/(-18))*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 36*g**2 - g. Is j(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h**3 + 0*h**2 + 0*h**2 + (-2 + 2 + h + (-3 - 1 + 6)*(-2*h - 3*h + 4*h))*(3 - h**2 - 3) as k*h**2 + s*h**3 + g + i*h and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010212000201 (base 3) to base 14.\nAnswer: 218dad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-1)\/(-1)*-1. Suppose p*k + 2 = -2. Let h be 0\/((8\/20)\/((-3)\/15)). Put k, h, -1 in increasing order.\nAnswer: k, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/9 - 58450*o**2\/9 - 426904150*o\/9 + 2135982250\/9 = 0. Calculate o.\nAnswer: -14615, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 7:36 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.087 - -0.413. What is the closest to 1 in q, 57\/5, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*s - 15, -14 = 4*v + 2*s. Let u = 12 + -11. Does 11 divide u - 7*v\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**4 + 16*x**3 - 45*x**2 + 38*x - 12. Let v(u) = u**4 - 31*u**3 + 93*u**2 - 77*u + 24. Let r(w) = -5*p(w) - 2*v(w). Factor r(f).\nAnswer: 3*(f - 2)**2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 + -11 + 4 + 40\/4. Let u(w) be the first derivative of v*w + 10 + 5\/2*w**2. Find the first derivative of u(c) wrt c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 6*s + 3350. Let p be (4 - 2 - 365) + 0. Let q = p - s. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -12*t**2 + 172*t - 582. What is s(7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5877782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1375 + 1375.02. Let f = 0.4 - 0.1. Which is the fourth biggest value? (a) -1\/6 (b) 2 (c) f (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228153 and 531.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1618403 + 71*q**3 + 1618403.\nAnswer: 71*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 1:53 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/10 and 1\/6*(-882)\/(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 345\/7 - (-8)\/(-28). Let g = -30 + x. Let w = 16 + g. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 2*x)*((4 - 2 + 1)*(-1 + 3 - 1) + 12 + 5 - 2) as z + s*x and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5830, 0.2, 2\/5 in decreasing order.\nAnswer: 2\/5, 0.2, -5830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 34 = -198*d + 196*d, 0 = 55*c - 5*d + 295 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248019 is divided by 326.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**3 - 2*r**2 - 4*r - 1. Let y(x) = x**3 - x**2 - x. Let p(s) = -k(s) + 3*y(s). What is p(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405441 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2409805017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20100 + 1230123213?\nAnswer: 1230103113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (18 + 10 + -15) - 11.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**6\/1800 + 14*g**5\/75 - 392*g**4\/15 - 35*g**3\/2 - g + 35. Let a(k) be the second derivative of z(k). Factor a(l).\nAnswer: -(l - 56)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1161.15372 from -725.\nAnswer: 436.15372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 149933195?\nAnswer: 149933197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86813\/19 + 4569. Which is the third smallest value? (a) -2\/169 (b) 13 (c) n (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 11:50 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3415 and 71456143.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y + 16*y + 18*y - 220 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 125, 1, -655, -2, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s = -22*s - 340. Calculate the greatest common factor of s and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43041967 rounded to the nearest 10000?\nAnswer: 43040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 8:13 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 (base 6) in base 8?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 + 57*n**2 + 3*n**4 - 22*n**2 - 2*n**3 + 2*n**4 + 2*n**3 + (n**3 - 4*n**3 + 4*n**3)*(n + 0 + 0).\nAnswer: 6*n**4 + 35*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3\/39*(38\/(-114))\/((-2)\/(-36))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -315 + 320. Is 5 + (-25)\/x - (-2 - 37749) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 10*n**2 - 11*n - 2. Let k = 56 - 42. Suppose -15*o + o - k = 0. Let z be (-8)\/(-2)*o - 7. Calculate l(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -31*r + 1756. Determine f(57).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 1:36 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14663 - -22141?\nAnswer: 5256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -10*u + 67. Suppose 5*c + 5*k - 40 = 0, 185*c = 186*c + 4*k - 14. Determine q(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (0 - 100180\/(-45)) + 6\/(-27) and 22.\nAnswer: 24486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 74*q**2 - 1. Let p(b) be the second derivative of b**4\/3 - 5*b**3\/3 - 5*b**2\/2 + 3*b - 9. Calculate the remainder when m(-1) is divided by p(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.32 + 0.42. Round u to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 - (97483\/16188 - (-2)\/(-19))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2884, 2912, 2962, 3040, 3152, 3304, 3502?\nAnswer: 3752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 2\/3*z**2 + 0 + z + 1\/120*z**5 - 1\/9*z**3 - 1\/36*z**4. Let m(n) = 0. Calculate n.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8266.\nAnswer: 2, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((5 + -17)*-1)\/(-2). Let l(d) = 4*d. Let h(y) = -5*y. Determine f*l(m) - 5*h(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -147 + 69343\nAnswer: 69196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0164 - 223.0164. Let y = 220 + i. What is the smallest value in -5, y, 28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 - 84. Solve -4*a + 7 = o, -p*a + 12 = -o + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + b + 2*b)*(3 + 1 - 3) + (16 + 15 + 1 + 2 - 2 + 2 + (-4 - 2 + 5)*(-1 + 4 - 1))*(b - 3*b + 0*b) to i*b + x and give i.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 6*r**2 + 4*r + 9. Let k be m(7). Let u = k - -11. What is the tens digit of 6\/(-10) + u*398\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 215*m - 212*m + 36, -4*q - 27 = 3*m for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37 and -37?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 14*v**2 + 12*v - 11. Let r be d(-13). Suppose r*x - 186 = -x. Let y = 101 + x. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, -0.4, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 113. Let m = w - -75. Suppose 0 = -4*i + 4*h + 280, 3*i + 3*h = 34 + m. Calculate the highest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 3 (b) -6.78 (c) -9.2 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 221233889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.45859 - -0.06759. What is q rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 - 432*i**3 - 519*i**3 - 9*i**2 - 774*i**3.\nAnswer: -1725*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 - 2*o**4 + 4*o**4 + (5*o - 3*o - 3*o)*(-3*o**3 - 3*o**3 + 4*o**3).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjquqljjucuuucjj. Give prob of picking 1 j and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 + 3*x**2 - 6*x - 6. Let a(r) = 9*r**3 + 8*r**2 - 17*r - 17. Determine 6*a(q) - 17*y(q).\nAnswer: 3*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -30, 1, 2\/9, 1\/3, -205\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -1\/12*k**4 + 0*k**3 + 0 + 0*k - 3*k**2. Let c(x) = 4*x. Calculate c(v(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 479 - 486. Is j\/(-2 - -3)*96620\/(-70) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 times -161?\nAnswer: -16422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/17, -17.8, 0?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.541 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3248 and 224.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l - 5*l + 2*l + 10 - 13. Give c(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 + 190*f**2\/3 - 544*f\/3 - 736\/3.\nAnswer: -2*(f - 92)*(f - 4)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 - 38)*1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.775922 months to centuries.\nAnswer: 0.003979935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*((-6)\/(-9) + (-25)\/60). Let x = -0.13 - -0.05. Let l = 0.38 + x. Which is the nearest to m? (a) l (b) -0.3 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-2) + -1)*-4. Let u be ((-6)\/j)\/((-3)\/20). Is -1*11\/2*u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 152\/(8 - 4)*-2. Let u = b - -134. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 2*c**2 + 22*c + 303731. Is u(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50253 (base 7) to base 2\nAnswer: 10111101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 7*x**2 + 6*x + 6. Calculate g(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -544?\nAnswer: -548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 517673593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1527 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.6. Let v = -31 + 30. Let l = w - v. What is l rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a week in seconds?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-3825)\/60)\/5 - -13)*(-16)\/(-6). Factor 0 - 1\/3*u**2 - 1\/3*u**4 + v*u**3 + 0*u.\nAnswer: -u**2*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w = 115 + 25. Suppose 3*m - w*m = -2*j + 4, -30 = 3*m + 3*j. Let d(o) = o**3 + 7*o**2 + 6*o. What is d(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 67*d - 92 + 52*d - 230 - 269. Let j be a(5). Factor -2\/9*z**j + 2\/3*z**2 + 0*z**3 + 0 - 4\/9*z.\nAnswer: -2*z*(z - 1)**2*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1435 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -12. What are the prime factors of s + (-1)\/(-2)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 98*d**2 + 111*d**2 + 111*d**2 as s*d + w + m*d**2 and give m.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7980027?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15483\/16 or -967?\nAnswer: -967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 17832 = f, -146*k + 35667 = -144*k - 3*f. What are the prime factors of k?\nAnswer: 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + ((-1449)\/46)\/63 + 3\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(156) - sqrt(156)*-2))\/((sqrt(12) + sqrt(12) + sqrt(48)\/sqrt(4) - sqrt(12))*1).\nAnswer: -15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*t**4 + t + 39*t**4 + 2*t**2 - 3*t**2 + 38*t**4 to the form r + y*t**2 + c*t**3 + q*t + u*t**4 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -12. Determine c so that -21*c**3 - 24*c**p - 14*c**3 + 26*c**3 - 14*c + 2*c = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z - 12. Let r(c) = c + 4. Suppose -3*w = 2*w - 25. Calculate the remainder when b(-12) is divided by r(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -3, -2, 1, -56134, -5 in descending order.\nAnswer: 63, 1, -2, -3, -5, -56134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -241118*-2547.\nAnswer: 614127546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2 - 845*n + 1257. What is v(-214)?\nAnswer: -1097","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 2*r**2 - r + 2. Let f be t(-3). Let w = 5 - 4.8. Let q = w + 0.2. What is the third biggest value in q, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.327786 to one dp.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157117, -314330, -471543, -628756, -785969, -943182?\nAnswer: -1100395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381292 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*o - 5, -3*n + 13*o - 3 = 16*o. What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 = 11. Let f(b) = 1 + 1 - b**2 + s*b + 5 - 2. Give f(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000048197 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1121 and 285.495.\nAnswer: 1406.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*o + 4*v, -o - 2*o + 17 = 5*v. Let c = o - -2. What is the smallest common multiple of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12896 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*19.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003065633 to six dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 54 + 2. Let m = 14 - n. Solve -y = -6 + m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.076 + 0.476. What is the biggest value in 5, -2\/5, c, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57460 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + 8.06. Let o = s - 6. Which is the nearest to 0.1? (a) o (b) -2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, 5, -0.2, 43159, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*y = -3*y + 4, 4*y = -t - 3. Let x be 1 + 159\/(t + 2). Suppose -3*k - 2*j = -0*k - 79, -2*k = 2*j - x. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0.5, 4, -4 in decreasing order.\nAnswer: 4, 3\/4, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.7385972 to 3 dps.\nAnswer: -42.739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 4\/147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -463 + 7873\/17. Let k = 2.2 - 1.2. Which is the third smallest value? (a) -1 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167.6 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*g + g. Suppose -f = 4*s - 2337, -2052 - 848 = -5*s + g*f. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 10*w**2 - 2. Let r be y(-10). Let x(i) = -8*i. Let s be x(r). What is the highest common factor of 40 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 2740*m**2 + 65.\nAnswer: 2740*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2096*f + 2052*f = 2816 for f.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 7738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4239, -8501, -12763?\nAnswer: -17025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -167992 - -42502040\/253. Let o = n + -10\/23. What is the third smallest value in o, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than -133708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*u**2 - 20*u**4 + 4*u**3 - 4*u + 10*u**4 - 6*u**5 + 6*u**3 = 0. What is u?\nAnswer: -2, -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**5\/20 - t**4\/2 - 7*t**3\/6 + 5*t**2\/2 + 3*t. Let z be v(7). Let k(g) = -g**2 + 3*g + 5. What is k(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1495 + -1497. Let p(q) = -q**3 + q**2 + q + 1. Let r(u) = -2*u**2 + 0*u**3 - 2*u + 4*u**3 - 1 - 1. Determine s*p(n) - r(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689940?\nAnswer: 2, 3, 5, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -725, -1454, -2183, -2912, -3641?\nAnswer: -4370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*r + 4*r - 4*r**3 - r**2 - 23*r + 4*r as u*r + c*r**3 + i + y*r**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - v + 1 + (-6 + 10 + 1)*(-v + v + v))*(56*v**2 - 219 + 219).\nAnswer: 224*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -269, -243, -179, -59, 135?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmpm when four letters picked without replacement from pmmpm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.45066 + -0.15066. Which is the nearest to -1.1? (a) 0.1 (b) l (c) -32 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 108.5? (a) -8.9 (b) -2\/3 (c) 71\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (18\/(-7) - -1). Which is the third biggest value? (a) -3 (b) 1\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(77)*2 + -2*sqrt(77)*-2 + sqrt(77))\/(4*(sqrt(11) - sqrt(33)\/sqrt(27))).\nAnswer: -3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-8) - (-259)\/4. Suppose -4*g + 4*t = 72, 3*g = -t - 2 - m. What is the tens digit of -88*(g\/6 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -57*y + 232. Give i(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3170044 (base 9) to base 7\nAnswer: 20305225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 1060*p**3 - 1224*p**2 + 2416\/5*p - 64 - 50*p**4 = 0. Calculate p.\nAnswer: 2\/5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1045 (base 11) to base 14\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -29 + 2*2\/(-4). Let w be 7 + 144\/4 + -5. Let n = w - q. Does 25 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s - 4. Let j be o(-3). Suppose 0 = 5*m - q - 175 + 31, 2*m - j*q = 76. Solve 23*g = m*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a - 55. Let k(b) = -4*b - 55. Let w(v) = 3*f(v) - 2*k(v). Is 14 a factor of w(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3, -8, 2 in ascending order.\nAnswer: -21, -8, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/5)\/((-168)\/105). What is the third smallest value in 1\/2, 0.3, x, 2\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119\/4 - -30. Let m(j) = -j**3 - 4*j**2 + 5*j - 3. Let l be m(-5). Which is the smallest value? (a) l (b) -1\/10 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 24*c**3 + 6*c**2 + 6*c - 21. Let v(k) = k**2 + k - 1. Let p be 1\/(-4) + 69\/(-12). Let o(l) = p*v(l) + j(l). Find the first derivative of o(x) wrt x.\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1070.745278 to two decimal places.\nAnswer: -1070.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k*(k\/(k\/(k**(-5\/4)\/k)))\/k)))\/(k\/(((k\/(k*k**(-8)))\/k)\/k*k))*k**(-7)\/k**(-3\/2) assuming k is positive.\nAnswer: k**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 74 = 2*g, -4*g - 4*j - j = 112. Let l = g + 44. What is the remainder when 42 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 8. Let q(i) = -i**2 - 1. Let a(r) = 349997*r**2 + r + 5. Let n(b) = o*a(b) - 3*q(b). Let t be n(-8). Round t to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 t, and 1 c when four letters picked without replacement from tcppffpnp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 292904.8 centuries in decades?\nAnswer: 2929048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -b - 27, 3*l + b - 20 = -42. Let c be ((-2)\/(-6))\/(2\/30). Sort 0, 1, l, c in decreasing order.\nAnswer: c, 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 104, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 245*w + 247*w = -118, -18 = 2*w + 116 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1003 - 2005\/2. Which is the biggest value? (a) 9 (b) 6 (c) x (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*q - 345, 5*m + 2*q - 3*q = 805. What is the units digit of (-5)\/2*m\/(-50)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86980192417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*c + 436*c = 46080 for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1943724?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13445, -26979, -40477, -53921, -67293, -80575, -93749, -106797?\nAnswer: -119701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 1789691?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 10:19 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120*u**3 + 114*u**3 - 229*u**3 + 35*u**2.\nAnswer: 5*u**2*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = x + 7, 3*d + 5 = -2*x + 41. Solve f - d = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 103. Suppose -2*y - 10 = 0, 0 = -f - y + x + 19. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57587.09 millilitres to litres.\nAnswer: 57.58709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 6*m**4 - 2222385*m**3 + 1111104*m**2 + 32224623*m - 31113348 = 0.\nAnswer: -4, 1, 7\/2, 370397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*a + 593*a - 1963*a - 1632*a - 181650 = 0 for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 = -3. Let f be 3\/12*(55 + o). Solve -f + 4 = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*q**2 + 66 - 66 + 46*q**2 in the form u*q**2 + g*q + c and give u.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1821 - 17726?\nAnswer: -20647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30415)\/(-1580))\/((-77)\/(-112)*-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*1\/3 - (53 - -2). Are -56 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 4530\/701 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2003314 (base 5) in base 10?\nAnswer: -31709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -2*m**7\/7 + 14*m**6\/15 + 599*m**4\/6 + 767*m. Find the third derivative of u(y) wrt y.\nAnswer: -720*y**2 + 672*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, r: 7, j: 3}. Give prob of picking 1 j and 3 r.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**0)\/(r*r**4))\/(r**(-1))**(13\/2))\/((r**(-2\/9))**(-18)\/(r**(-2\/9)*r\/((r*(r\/r**(1\/2)*r)\/r)\/r))) assuming r is positive.\nAnswer: r**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 0.5 (c) 95 (d) -27 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -1285?\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(4 + 1 + -4). Let o be (-2 + 8)\/3 + 0. Let c be (-55)\/o*y\/(-5). Calculate the greatest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 9:00 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12 + (3 - (7 + 1)). Suppose h - 2*n = -2*h + b, -13 = -3*h - 4*n. Solve -8*w + h*w - 31 = -4*o, 6 = 2*w + 3*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:45 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/2))**(20\/9))**45 assuming u is positive.\nAnswer: u**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 488653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1137*i - 39. Let a(r) = -1136*r + 52. Calculate -3*a(o) - 4*m(o).\nAnswer: -1140*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24687*d**4 + 1996*d**3*q**3 + 1322*d**2*q**3 + 4*d**2*q - 63*d**2 + 10*q**3 wrt d.\nAnswer: -592488*d + 11976*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.55, 0.5, -386\/145 in decreasing order.\nAnswer: 1.55, 0.5, -386\/145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4 + -718735.\nAnswer: -718736.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0078, 1, 26\/23, 8, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q - 3*h - 8, 2*q + 2*h = -12. Let n be 3*1 - (0 - -1). Let k = 396 + -401. Put q, n, k in ascending order.\nAnswer: k, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n + 228. Determine u(33).\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*k - 63 = 403*k + 157 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -4.5. Let s = -0.50025 + c. Round s to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/12 - 2375\/(-900)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/(-28) - (-4 + (-6)\/3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*c**3*f**3 + 13*c**3 + 4*c**2*f - 2*c*f**3 + 95*f**2 + 2319*f wrt f.\nAnswer: 276*c**3*f - 12*c*f + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*o + 16, -4*n - 14 = -9*o + 4*o. Let l = 4 - n. Solve 0 = 4*h - 2*h - l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6437804?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 699082897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2955402 and -64?\nAnswer: 2955466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -3.7. Suppose -3*v - n - 3 = -12, n - 17 = -5*v. Put 1\/7, v, p in ascending order.\nAnswer: p, 1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 33 - 8 - 18 - 15*x. Let s be o(3). Which is smaller: -36 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xccxxxxxxe. What is prob of picking 1 x and 1 c?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2093.9999339 + 2094. What is x rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 10 + (-22)\/(-36) + 35\/14.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2882 (base 14) to base 11\nAnswer: -5429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.132 rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1746*q - 6950*q + 1740*q + 1736*q + 1735*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 762429 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Suppose 3*b = 4*g - 0*g - 28, -b = q*g - 4. Suppose 0 = 4*s - k + 9, -g*s = k + 15. Sort s, 5, 2 in ascending order.\nAnswer: s, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + -100002?\nAnswer: -22112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3258910 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (2 - 4) + (1 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -3 + -6*sqrt(192)*-1)*1 + 2)*-6.\nAnswer: -288*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 2*m + 2. Let w(a) = 4*a**2 - 2*a + 2. Let v(t) = -9*t**2 + 5*t - 5. Let o(x) = 3*v(x) + 7*w(x). Calculate -d(z) - 2*o(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575600 rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 544*b**5\/5 - 2*b**3\/3 + 194*b - 465. Find the third derivative of o(v) wrt v.\nAnswer: 13056*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237.48 + -7806.884145.\nAnswer: -7569.404145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*y - 19, 3 = -x - 2*y - 0. Let q = x + 1. Let k(o) = 3*o**2 + 7*o + 6. Is 5 a factor of k(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 5, -11, -2 in decreasing order.\nAnswer: 5, 2, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u + 220 + 22 = -55 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2) + 46\/76. Let y = 12\/43 - -19\/86. Suppose -5*f + 6 = 21. Which is the nearest to y? (a) i (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9702 and 21021.\nAnswer: 126126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -35 + 779\/(-369).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-11) - (-14504)\/(-154). Let h = u + 100. Calculate the smallest common multiple of (h - 0) + (-18 - -17) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 4. Let q(w) be the first derivative of -2*w**2 - 4*w + 5. Give q(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or -1.0013?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 12. Let j be (4\/(-2))\/((-3)\/9). Let w be 3\/(-9) - (-32)\/j. What is d(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45344830 is divided by 3389.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/2 of a gram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 5.2, 46, -227, 19?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 + 0.19. Let q = 10.3 - 9. Let l = q - 0.3. Which is the closest to -3\/5? (a) p (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1540\/49 + (258\/(-1505))\/((-2)\/(-5))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*n**2 - 136*n - 2334*n**3 + 5*n**2 + 301*n wrt n?\nAnswer: -14004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17334 (base 16) in base 5?\nAnswer: -11020103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1437*t - 25135 - 21572 + 13656 = 0 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmtrd. What is prob of picking 1 t and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800) + 1 + -1*sqrt(800))**2 - ((sqrt(800) + 1)**2 + 2).\nAnswer: -802 - 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 24. Let r be z(9). Suppose 6*t + r = 81. Solve 5*s + t = -14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -19*k - 12. Let d be i(5). Let o = -103 - d. Suppose -469 = o*q + 571. What is q rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 10. Let z(k) = 21*k - 498. Let b be z(24). Calculate c(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5704 and 6696?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/6 - 2713*k**2\/2 - 32588*k\/3.\nAnswer: k*(k - 8147)*(k + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5248097335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 19736622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24\/36 + 300\/(-18)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 54. Let a(s) = -s**2 - s - 1. Let y(n) = 30*n**2 + 24*n + 24. Calculate j*a(d) + y(d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 265463081*a**3 + 140149804 wrt a?\nAnswer: 796389243*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -782 or -3916\/5?\nAnswer: -3916\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -746541, -10 in increasing order.\nAnswer: -746541, -10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*o, 0*l - 64 = -4*l - 4*o. Let v = 30 - 18. Let c(a) = a**3 - 12*a**2 + 9*a + 9. Let j be c(v). Calculate the greatest common divisor of l and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -58366, -3, -2\/5.\nAnswer: -58366, -3, -2\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b - 216 = -666. Calculate the remainder when 82 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, h: 3, c: 4}. What is prob of picking 1 c and 2 t?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 - 2 - 4 + 4 - 2 + (0 + 4 - 2)*(4 - 6 + 4))*(-3 - 2*o + 3)*(4*o - 7*o - 9*o).\nAnswer: -192*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-483)\/46)\/((-36)\/456). Which is bigger: b or 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741761.\nAnswer: 17, 43633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z + 25. Let v be t(11). Suppose -h + 24 = v*h. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**3*v**2*y**3 - 337346*m**3*y**3 + 12*m**2*v - m*v**2*y**3 + 8222*m*v**2 wrt m?\nAnswer: 12*v**2*y**3 - 2024076*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2281345759.\nAnswer: 7, 11, 293, 101119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*v + 0*v + 0 + 0 + 7*v.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2962, 2985, 3010, 3037, 3066, 3097?\n\"Answer: y**2 + 20*y + 2941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 398*o**2 + 1 - 397*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -43*q + 1250. Let m be n(29). Solve 5*b + 40 = 4*u, -4*b - 19 = -m*b - 3*u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h - 30. Let x be n(-9). Solve -2*d - x = -0*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 13*k = -3*h + 18, 3*k + 4*h = -5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -5.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*f*v**5 + f*v**2 - 2021*f*v + f - 58973*v**6 - 2*v**2 + 3*v - 2 wrt v?\nAnswer: -2460*f*v**2 - 7076760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/2*1\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78222?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 62*s + 60. Let k be t(-1). Which is the closest to -3? (a) -2\/15 (b) k (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1254670, -1254708, -1254746, -1254784, -1254822?\n\"Answer: -38*n - 1254632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*h = 0. Let p = -1627 + 1632. Sort -4, p, h.\nAnswer: -4, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-14)*(-896)\/(-768))\/(-11 - 1463\/(-110))?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.6 and 17195?\nAnswer: 17195.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 - 1534540*c + 26088625 = 0. Calculate c.\nAnswer: -306925, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*c**2 + 46 - 46)*((-5*c + c + 6*c)*(-1 + 3 - 4) - 3*c + c + 0*c).\nAnswer: -126*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011011100011010 (base 2) to base 14.\nAnswer: 64a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.09316 rounded to 2 dps?\nAnswer: -4.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 35*o = 67*o + 1470 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*h + 148*h = 6. Let o(d) be the first derivative of -1\/4*d**4 - 1\/3*d**3 - d - 2 + 1\/2*d**h. Calculate o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 - 0\/3*(-7)\/7 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68409 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 78 + -85 - 1070666\/14 - 2\/(-14). What is h rounded to the nearest one hundred?\nAnswer: -76500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 - 54. Calculate the remainder when c is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -1 + 72*o - 92*o + 25*o. What is f(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -927674, -1855431, -2783250, -3711131, -4639074, -5567079?\n\"Answer: -31*r**2 - 927664*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130585)\/(-62475)*-17 + (1 - -34)?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Let s(q) = 4 + q - i - 3. What is the units digit of s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -251535 at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2*-8*(-12)\/(-48). Solve d = -30*p + 31*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 3 (c) -3 (d) -99 (e) 9 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 + 0*s**4 - 5*s**4 + (3*s**4 - 5*s**4 + 3*s**4)*(-29 - 27 + 9) + 2*s**4 + 2*s**4 - 2*s**4.\nAnswer: -50*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13283 divided by -22.\nAnswer: -13283\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - (7 + (-9 - 7 - -4) - 0).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1195262.7256 rounded to the nearest one hundred?\nAnswer: -1195300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 32*z + 219. Let d be x(-7). Let y = -3 + 8. Sort 3, y, -4, d in increasing order.\nAnswer: d, -4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-7))\/r)\/r**(-7)*((r*r*r\/r**(1\/5)*r)\/r)\/((r\/r**2)\/r*r))\/(r*((r*r**(-8)\/r*r)\/r)\/r*r**(1\/7))**(-22) assuming r is positive.\nAnswer: r**(-5917\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1360 + -1357. Put 2, a, -2\/5, -39 in descending order.\nAnswer: a, 2, -2\/5, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*b - 23*b - 1 + 11*b as g*b + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 7*k**4\/12 - k**3\/3 - 3*k**2. Let f be w(-3). Is (f\/(-16))\/(1\/8) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 * -45\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 + 8 = 0. Suppose 5*a + 15 = -0*a. Let m be 0\/(-2) - a - -3. Solve m = 5*g - f*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51\/5, -1, 2\/17, 4, -0.09, 3 in descending order.\nAnswer: 51\/5, 4, 3, 2\/17, -0.09, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7331184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023662637 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1070 - -1070. Let q be ((-6)\/(-4))\/((-2)\/(-4)). Let j = -19 - -34. Solve f*t - j = -q*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -11 - (7 + (-8 - 4 - -11))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 115 = 5*r, -22 = r + 8*d - 9*d. Is r <= -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*k - 2*t, 1 = -4*k + 164*t - 161*t. Let j = 16 - 7. Let b = j - -3. Solve k*w - 2 = -b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 10*u - 31. Let j be m(-12). Let y(w) = -w**3 - 7*w**2 + 2. Let v be y(j). Suppose 0 = -3*a + 4*a - 3. Solve 5*h - v*h + a = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejq when three letters picked without replacement from {q: 1, l: 2, j: 2, y: 2, e: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-1)\/3 - 368\/(-138). Suppose 16 = 4*b + 4*h, h - 21 = m*b - 26. Solve -5*x + 16 = -3*p - 0*x, -4*x = -b*p - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2867504 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 - 319 = 5*a. Let f = a - -383. Let n = -169 + f. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*i = -24, -2 = -4*c - 0*i - 2*i. Suppose -5*z + 25 = -0*z + 5*b, -3*z + b = -3. Which is bigger: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 3*x + 16 = 85, -x + 25 = 4*x for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 119392850 * 0.5\nAnswer: 59696425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 439, -2, -3 in ascending order.\nAnswer: -3, -2, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*h - 19*h - 24. What is the tens digit of (8\/6)\/(-5*h\/4005)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-9)*54\/(-90).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 13450998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -u - 5*o - 65, 3*u + 5*o - 7 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460305205.\nAnswer: 5, 31, 757, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6918.9578 - -6914. Let x = c + -0.0422. Let g be (-2)\/(-5) + (-38)\/20. Sort g, 4, x, 1\/5 in decreasing order.\nAnswer: 4, 1\/5, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 109.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 95 (c) -5 (d) -3 (e) 4.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1857*x + 1846*x + 1240 = 3765*x for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41048328?\nAnswer: 2, 3, 1710347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 14, -1\/18, 1.1?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.3591725 + -3012\nAnswer: -3010.6408275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15da (base 15) in base 14?\nAnswer: -1a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*5\/4*21\/(5460\/(-4576)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 602825274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1)*(-1)\/3. Suppose g = 2*q + 4*x - 24, 5*x - 2 - 14 = q. Put q, -1, 5, 2 in descending order.\nAnswer: 5, q, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/8*8\/3. Let r(a) = -4*a - 4 + 2 + 3 + p*a**2. Is r(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*h + 263*h = -243*h + 468 for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + -3*24\/(-54))\/(((-1088)\/(-240))\/34).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 221*v**3 + 4*v**2 + 962*v.\nAnswer: 1326*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -34*y**3 + y + 3. Let p be i(-1). Let q be p\/(-12)*(-2)\/8. Factor -1\/4*m**3 + 0 - 1\/2*m**2 + q*m.\nAnswer: -m*(m - 1)*(m + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15a67 + -381?\nAnswer: -16338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 6*q + 735*n + 731*n - 1461*n = 0, -4*n = q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71046, 283713, 638158, 1134381, 1772382, 2552161?\nAnswer: 3473718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 359191480 - -155?\nAnswer: 359191635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 296639434*x - 21998738450960089.\nAnswer: -(x - 148319717)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 - 3040136*x**3 + 577682081716*x**2 - 11552729609520*x + 57762128019600.\nAnswer: 4*(x - 380007)**2*(x - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**3 + a**2 - a + 2. Let j(w) = -60*w**3 - 5*w**2 + 2*w - 399. Let o(u) = j(u) + 4*l(u). What is the second derivative of o(z) wrt z?\nAnswer: -240*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 735 (b) -1\/4 (c) -7 (d) 2\/7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 47 times -131\nAnswer: -6157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20070.98 - -4?\nAnswer: -20066.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5772 - 5771. Let l be (-4)\/14 + 22\/70. Is l less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1548 + 845. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1570*t = -4057 - 23408 - 795 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {y: 13, i: 1, x: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -b + 4*b. Suppose -u + 48 = b*u. Suppose 5*x + 2*q - 116 = x, -u = -3*q. Calculate the remainder when x is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - -0.27. Let h = -0.3 + q. Let w = -9177 + 9180. What is the second smallest value in 1, w, 2\/15, h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 22 = -f, -5*f + 2*f = 4*l - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, p: 3, f: 1, u: 4}. Give prob of picking 2 x.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*t - 4 + 18 = 0, -3*k = 3*t - 132. What is the remainder when 194 is divided by k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -8a?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -343*g - 2749. Calculate c(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 257.846 + -258. Which is bigger: v or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48\/144 - (-1 - 5362\/6). Let p = c - 11644\/13. What is the common denominator of p and -26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26926 (base 10) to base 5\nAnswer: 1330201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -40. What is the smallest common multiple of 2 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hawfi. What is prob of picking 1 i and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(33)\/sqrt(3) + 2) + 2.\nAnswer: 12 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3)*9\/2. Suppose n = -3*l - p + 10, -15 = -5*l - p. Solve -d + 2*b = 4*b, l*b = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/5, -3, -2\/5, 3\/2, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/3)*s)\/s**(-3))**(-3\/4) assuming s is positive.\nAnswer: s**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 21*z + 554. Let r be q(-8). Solve -10*h + r = 416 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 18998676*q + 45118711219122.\nAnswer: 2*(q + 4749669)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = 2*k - 0*x, -5*k + 13 = 2*x. Suppose -2*r - k = -7. What is the second derivative of -2*o + 3*o - r*o**2 + 4*o**2 wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.7 + 2.4. Let b = 4.97 + 0.03. Put c, -0.4, b in descending order.\nAnswer: b, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 88*a**2 + 45752*a - 4140. Calculate x(-520).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5601201811?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -143701 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 7053990*a - 14107972.\nAnswer: -2*(a - 3526993)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 1.2 (c) 0.1 (d) -0.5 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -492, -490, -486, -480, -472?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 8. Suppose -3*t - s - s = -3, -5*t - 2*s = -i. Let m be 1*t\/(-15)*2. What is the nearest to m in 1, 0.2, 3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*(-25)\/7875*-28.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 1645?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 290968517.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(153) + 4 + (sqrt(153) - -1*sqrt(153)) + -1 + -2 + sqrt(153) + -2 + -4)**2.\nAnswer: -168*sqrt(17) + 2497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**2*v**4 - 2*i**2*v**3 + 4*i**2*v**2 + 7*i**2*v - 2*v**3 - 5 wrt v.\nAnswer: -48*i**2*v - 12*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262325 (base 8) to base 11.\nAnswer: 626a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 8 = -2*s - 8, -5*s - 27 = 4*f. Let x = -10 - f. Find the first derivative of -x*p - 115 + 60 + 61 + 8*p wrt p.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, o: 5, w: 1, u: 2, v: 2}. What is prob of sequence uwo?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n - 3. Let c be 15\/(-15)*(0 + (2 - 1)). Put n, c, 5 in decreasing order.\nAnswer: 5, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2740 = 4*n + 4*r, -4*n + n - 4*r = -2060. What is n rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111 (base 2) in base 15?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2 + 14. Let u be (-78)\/(-8) - (-1)\/y. Suppose u*v - 7*v = 9. Solve f - 5*j + 8 = 26, -4*f + 3 = v*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - -1 - (-32 + 22 + 25)) + -2 + 120\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 + -89.9. Which is the closest to 0.3? (a) -0.1 (b) 2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183 - 178. Let k be (-7)\/(-4) + 2\/(-8). Which is the closest to -1\/4? (a) d (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 0, 1188, 12 in decreasing order.\nAnswer: 1188, 12, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2076 divided by -2\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4034*v - 226095. Determine m(-56).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -86474057 rounded to the nearest 100000?\nAnswer: -86500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2575 (b) 53\/12 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d2e - da?\nAnswer: 2c44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r. Let a(j) = -11*j. Calculate a(g(t)).\nAnswer: 44*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + c + 1, 2*w - 5*c = 61. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41.8644 * -64\nAnswer: 2679.3216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 872.5 - 872.455639. Round y to three decimal places.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 367.563 centuries?\nAnswer: 441075.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13712530 to the nearest integer?\nAnswer: 3703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2309694089.\nAnswer: 431, 1901, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6496 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**5 + 64*u**3 - 2344*u**2 wrt u?\nAnswer: -60*u**2 + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.000000165 - 30. Round i to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 408*h + 532. What is the thousands digit of b(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 20 - 16)*(-h**2 - 3*h**2 + 5*h**2) + 7*h + 6*h**2 - 7*h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(360\/5)*-8*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96979?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 81925*k**2 - 409520*k + 327600.\nAnswer: -5*(k - 16380)*(k - 4)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 + 25 = 5*m - 4*k, -5*m = 3*k + 210. Find the common denominator of 38\/11 and (28\/m)\/((-246)\/135).\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from gggkgkyfkgggegyyyg.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**4 - d**3 - d. Let n(u) = -8*u**4 + 2*u**3 - 3*u. Let w(l) = 2*b(l) + n(l). What is the second derivative of w(a) wrt a?\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/1287 and -133\/110.\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17 - ((-3 - -19) + -34)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**2 - 4*o + 2. Let x(a) = 7*a**2 - 5*a + 3. Give 3*q(f) - 2*x(f).\nAnswer: 4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 163 or 160?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8942, -17882, -26822, -35762, -44702, -53642?\n\"Answer: -8940*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1\/4, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -67*g**3 - 3*g**2 - 5*g - 12. Is 18 a factor of t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7055\/15314 - 1\/1178. Let q = 948 + -3003. Let x = q - -2054.5. Which is the closest to d? (a) 0 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(0 + 1 - 3 + (-6 + 0 + 4)*(4 + 2 - 4) + 2 - 3 + 0)*(2*o - 3*o - o)*(137*o + 177*o - 238*o).\nAnswer: -1064*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d - 76492 + 66284 = 0. What is the greatest common divisor of d and 1696?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 392\/84*(-6)\/20 + (-267)\/(-105). Factor -y - 8\/7*n - 2\/7*n**2.\nAnswer: -2*(n + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**4 + i**3 - 5*i**2 - 5*i**2 + 9*i**2 + 3*i**2 - 1 in the form c*i**2 + v*i + j*i**3 + f*i**4 + x and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, n: 1, w: 10}. Give prob of picking 2 y and 1 w.\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -859 - 1206 = 5*t. Let l = 881\/2 + t. Let k = 12563\/8 - 1583. What is the common denominator of l and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/3 + 11708*t\/3 - 17134658\/3 = 0. What is t?\nAnswer: 2927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25947881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**3\/3 + 3*g**2\/2 + 2*g - 11. Let k be s(-3). Let b be ((-2)\/(-3))\/(k\/(-219)). What is b rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*m - 45, 3*u + 0*u - 3 + 2 = -u - 6*m - 23 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 13. Suppose -5*i + 13 = -l*f - 24, i - 2*f = 13. Let a(u) = 6*u**2 + 1. Let y(c) = 0 + 0 - 1 - 7*c**2. Determine i*y(k) + 6*a(k).\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12047 + -11882. What is the least common multiple of 45 and q?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/63 + (-1 - (4 + -5)). Let j = r - -8\/21. Factor -2\/3 + j*y**3 - y + 0*y**2.\nAnswer: (y - 2)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - -18 - (-1 - 11) - 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 0*i**7 - 1\/3*i**3 + 95\/336*i**8 + 0*i**6 + 35*i - 5*i**2 + 0 + 0*i**4 - 2\/5*i**5. Find the third derivative of j(o) wrt o.\nAnswer: 5700*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1 = -9. Let x(q) = 7*q - 3. Calculate the remainder when x(d) is divided by (1\/2)\/(2\/56).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 841 by -841.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.54 times 38231?\nAnswer: 250030.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(605) + (sqrt(5) + (sqrt(5) - (sqrt(5) + 1 + -3)) - sqrt(5)).\nAnswer: -1 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 234 divided by 42\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*c*i*o**2 - 2*c*i*o - 3196803*c*i + 179*c*o**2 + 7*i*o**2 - i*o + 3764*o**2 + 10*o wrt o.\nAnswer: -14*c*i + 358*c + 14*i + 7528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 36.39+-70\nAnswer: -33.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 456 and 57032034?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128394450 divided by -95107?\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (13 - (6 + (-9 - -14)))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/90)\/((-693)\/198).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.17 + 7.83. Let m = 8 - y. Let s(q) = -q**2 - 2*q + 13. Let b be s(-4). What is the second smallest value in 2, b, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/7 - 128928*g\/7 + 515728\/7 = 0. Calculate g.\nAnswer: -128932, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271205 is divided by 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-4)*2*-4. Suppose -q = 3*j - 3*o - 3, -4*o = -2*j - 12. Which is the third smallest value? (a) j (b) 4\/5 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 j, and 2 p when four letters picked without replacement from wjjwpjwjpwj?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9707.444 millimeters to micrometers.\nAnswer: 9707444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, and 1 h when three letters picked without replacement from xvxcxhxy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*s - 3*t + 2532, 5*s + 4*t - 4218 = 0. Let k = -349 + s. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744*q - 18 = -747*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 4*i + i)*(-2 + 3 + 0) + 2 - 2 + 2*i + 2*i + 0 + 0 + (-2 + 7 + 4)*(6*i - 3*i + i).\nAnswer: 39*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -33. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79586 by -79586.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4, -18716.\nAnswer: -18716, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 12:33 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*n - 39 + 53 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((180\/150)\/(11\/(165\/(-84))))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2512 and 5086172.\nAnswer: 20344688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-28)\/42)\/(40\/114) and (-21)\/2 - 0\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 - 5*m. Let k(y) = -2*y**2 + 2*y. Let f(l) = 5*k(l) + 2*p(l). Let a(n) = -28*n. Let d(v) = 13*v. Let w(q) = 6*a(q) + 13*d(q). Give w(f(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.9400151 to four dps.\nAnswer: 4.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -32\/9, 4\/11, -4, 1, 1678?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000983 rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 146, -5, -1.\nAnswer: -5, -1, 0, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 10*u**3 + 5*u**2 - u - 1. Suppose -7 = -2*y - 5*c, -3*y - 3*c - 2 = -8*c. What is r(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -3*p + 23 - 40, -2*u - 3*p - 14 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -21.8. Let o = -96.2 + 94.5. Let g = o - r. Which is the closest to g? (a) -2\/3 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.02 - -0.02. What is the biggest value in 5, -1, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120168*j**2*o*y**2 + 6*j**2*o*y - 534287*j*o*y - 120*o**3*y**2 - 4*o**3 wrt y?\nAnswer: -240336*j**2*o - 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*d - d. List the prime factors of 0 + (16 - (-4)\/d).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/53 (b) 1527\/32 (c) -5 (d) 3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13002*b - 6262*b - 6202*b - 11836 = 0 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, -17, -5, 23, 73, 151?\n\"Answer: k**3 - k**2 - 2*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 4*t - 32, 4*t + 22 = 2*a - 0*t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.061 - -0.109. Let o = p + -7.17. What is the fourth biggest value in -2\/5, -1\/4, 3\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34325 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/13)*m)\/m**0)\/(m**(-2\/19)\/(m**1*m*m*m))*(m**2\/m**(4\/5))\/((m*m**6\/m)\/((m**(-4\/5)\/m)\/m)) assuming m is positive.\nAnswer: m**(-1656\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -0.6. Let i = 14563\/9 - 1618. Sort c, 2, i.\nAnswer: c, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g - 312 = 16*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24.95801025 and 92973.\nAnswer: 92997.95801025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v - 2 + 4 + 0 - 373*v.\nAnswer: -400*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 3 + 12 - 25 - 5*p + 8 to z + s*p and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.38 + 11.28. Which is the closest to m? (a) 9 (b) 3 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23493 divided by -3?\nAnswer: 7831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -350968, -1404021, -3159118, -5616265, -8775468, -12636733, -17200066?\n\"Answer: -g**3 - 351016*g**2 + 2*g + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - q. Suppose -4*n + 12 = -0*n. Suppose -2*s - 3*v = -11, -n*s + s + 3*v - 19 = 0. What is x(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2723*1)\/(2\/(-48)). Let w be ((-68)\/12*-6)\/((-1)\/16628). Let h = w + f. Round h to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 3. Let c(r) = -r + 4. Let f(y) = 3*c(y) + 4*s(y). Let w(g) be the first derivative of 5*g**2 - 1 - 5*g**2 - g**2. Give w(f(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -228, -146, -6, 192?\n\"Answer: 29*t**2 - 5*t - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 4\/7, 1\/6, -2\/17, 0.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2924440135?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1048)\/(-24)*9\/3. Let k = -140 + t. Sort -4, k, 0 in descending order.\nAnswer: 0, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c + 3*c)*(2*c**2 - 5*c**2 + c**2) + (32*c - 5*c**2 - 21*c + 3*c**2)*(4*c + 0*c - 5*c).\nAnswer: -2*c**3 - 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -10) + -12 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172264 is divided by 19139?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/33)\/(-1) - 0\/2. Put 2\/9, l, 4 in descending order.\nAnswer: 4, l, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 + 1. What is the nearest to 3\/8 in 5, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndlny. What is prob of sequence ld?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -0.243 (c) 0.01 (d) 146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(-2)\/4 + 1. What is the remainder when (x\/(-2))\/(2\/(-228)) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24128, 24310, 24816, 25808, 27448, 29898?\nAnswer: 33320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118 + 9*m - 15658*m**2 + 2*m - 11*m + 15672*m**2 to the form r + v*m + a*m**2 and give r.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1660*n - n**2 + 1660*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c - 4*c)*(c**2 - c + c) - 827*c**3 + 1040*c**3 + 1561*c**3 + 7*c**3 - 2*c**3 - c**3.\nAnswer: 1776*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 1. Let q(x) = -10*x - 12. Let j(a) = 12*n(a) - q(a). Let s(m) = -2*m**2. What is s(j(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/16 and 81\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + (-3 - 11))*-2. Suppose -x*t + 85 = -7*t. Solve t = -w + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -74, -2, 20, -2\/13?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1156.8 + 1059.14. Let u = l + -5.14. Let p = 130 + u. Round p to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*m + 65*m + 32 = 0. Is m\/(-12)*(-36570)\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cce9 (base 15) in base 9?\nAnswer: 153003","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236788?\nAnswer: 2, 59197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 462 + 978 = -48*n for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 169095371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0 + 2\/3*o**3 + 5\/2*o**2 + 2*o - 1\/12*o**4. What is t(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2966 divided by -225.\nAnswer: 2966\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42273.\nAnswer: 3, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**4\/24 - c**3\/2 + 2*c**2. Calculate the remainder when (2 - 5\/2)*-46 is divided by x(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-3))\/((-193)\/193).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 133608347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y = 5*o - 63, 33603*y - 33598*y + 2*o - 15 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44.3 - 44. Let s = 0.7 - 1. Sort j, s, -4 in descending order.\nAnswer: j, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55513182 - 265*q**2 + 55513182.\nAnswer: -265*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 0*n - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*5 - (5 - 0)) + 3. Suppose -z - 188 - 330 = -t*h, 493 = 3*h + 4*z. Calculate the highest common divisor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 6. Give f(-13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**6 - 23*d**2\/2 + 8. Find the second derivative of l(m) wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-304)\/(-6) - 7\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)\/a*a*(a*a**5)\/a)**(-10)*((a*(a*((a*a*a\/a**(-1\/4))\/a)\/a)\/a)\/a)**(-5\/13)*(a\/(a\/a**(-2\/7)))**(4\/17) assuming a is positive.\nAnswer: a**(-127151\/6188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 234383, 468766, 703149?\n\"Answer: 234383*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.55115 - 19.97832.\nAnswer: -19.42717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1675 - 1751. Put i, -3, 1 in ascending order.\nAnswer: i, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n + 2. Let k(m) = 45*m + 14. Let c(t) = -9*t - 3. Let y(p) = 11*c(p) + 2*k(p). Calculate 5*g(h) + 2*y(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.44 (b) -7 (c) 0.19 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459920 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**5\/60 + d**4\/24 - d**3\/6 + 24*d**2 + 4*d. Let w(o) = -20*o**3 + 60*o**2 + 60*o - 60. What is 60*s(z) - w(z)?\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - l**2 - 2. Give n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/3 and -417082 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -961 and -10575\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 4. Let y be z(6). Let f = 7.6 + -8. Put f, y, 0.5 in descending order.\nAnswer: 0.5, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 4, 2.2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1629316 - 895316. What is f rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 274098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73143*t - t**2 + 60401*t + 2*t**2 to the form i*t + o*t**2 + w and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -28. Let w = -9 - b. Solve -w*m = -0*m - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 15 + 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*l - 29 = 5*d - 51*l, 0 = -d - l - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.787 and 10441.6005?\nAnswer: 10442.3875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -91? (a) -495 (b) 7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 + 5303*z\/2 + 5305.\nAnswer: -(z - 5305)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 4*a**2 + 0 + a + 6\/5*a**5 + 0*a**3 + 0*a**4. Differentiate g(t) with respect to t.\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2393 + -1284. Let b = c - 695. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 523, 140, -489, -1358, -2461, -3792, -5345?\n\"Answer: t**3 - 129*t**2 - 3*t + 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -96*q**2. Let p(u) = 48*u**2. Let r(z) = 2*f(z) + 5*p(z). Let l(v) = -28*v + 2 + 38*v - 11*v - 2. What is l(r(m))?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 + (-92)\/16. Let x = w + 12. What is the units digit of (x\/(-5))\/((-1)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*n + 21*n + 11*n - 16*n)*(3*n**2 - 3*n**2 - 15*n**2).\nAnswer: -435*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/2288*198 + -2 + 22\/8. Put q, -1360, -1, 5 in descending order.\nAnswer: 5, q, -1, -1360","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**2 + 2*l + 5. Let t(d) be the first derivative of 14*d**3\/3 - 7*d**2\/2 - 14*d + 187. Give -8*i(f) - 3*t(f).\nAnswer: -2*f**2 + 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -22825, -9370, -1 in decreasing order.\nAnswer: -1, -9370, -22825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1914*s = 31156 - 8188 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 3 = 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (-4 - -4) - 37. Let m = -29 - q. Suppose -2*s + m = -5*s, 5*s - 40 = -4*u. Calculate the remainder when 87 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6777, -6781, -6785, -6789?\nAnswer: -6793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134223\/22 + 6099. What is the common denominator of 63\/44 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 12*o + 5. Let w(u) = -11*u - 6. Let f(g) = -5*i(g) - 4*w(g). Suppose -2*h = -h + 2. Calculate the remainder when f(h) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98280 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j - 136. Let i be a(-21). Put i, -75, 5 in descending order.\nAnswer: 5, i, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -a + 5*l, 5*l = -a - 0*l. Let i be (-5 - 1)*(-4)\/6. Suppose -3*c = -k + 3, c + i = -a*k - 3*c. Solve -4*q + k = -12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfbjbb. What is prob of picking 1 f, 1 v, and 1 b?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -333, -725, -1263, -1941, -2753, -3693?\nAnswer: -4755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14706 - -33?\nAnswer: -14653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 68086?\nAnswer: 68082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r = 5*z - 40, 2*r = -4*z + 26. What is the tens digit of 6\/r*7 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*b - 8 = h, 5*h + b = 17. Suppose 2*k + 23 + h = 0. Let v = k - -19. What is the highest common factor of 9 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12.1 in 1, 0.06, 4, 1757?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15838787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 8*o - 24. Let v be -1 - (-28)\/o*6. Calculate the greatest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**5\/8 + 375*a**4\/8 - 1743*a**3 + 17670*a**2 - 69216*a + 94080 = 0.\nAnswer: 4, 5, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2\/3 - 8768*u\/3 - 200077 = 0?\nAnswer: -8699, -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 12330.\nAnswer: 172620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661342.\nAnswer: 2, 11, 23, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -0.3. Let m = -0.33 - -0.73. Let d = -1.5 - -2. Which is the closest to 1? (a) d (b) m (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 63?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 441632060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8756779 is divided by 70054?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + (3 - 0 - (2312 - 2272))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 - 2*q**2 - 2 - 3 + 6. Suppose -2*k = 2*d - 4, 2*k = 3*d - 77 + 96. Let s(r) = 4*r**3 + 3*r**2 + r - 2. Determine d*i(p) - 2*s(p).\nAnswer: p**3 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 14. Let h be t(-8). Let o be 44\/(-11)*(-2 + (-13)\/h). Which is greater: 2\/93 or o?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 * -8\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521 - 544 - 204*p + 192*p + 1612 - 547.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*k - 69*z + 72*z - 123, k + 3*z = 123 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -202064418*w**4 - 244439622.\nAnswer: -808257672*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8*r. Let s(g) = 2*g**2. Determine m(s(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a millennium?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 8*f = -16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 207198432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d + 10*d + 3*d - 18*d. Let z(n) be the second derivative of -n**6\/180 - n**3\/6 - n. Let p(o) be the second derivative of z(o). Determine c(p(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/12*-2*(-1 + 295). Suppose 7*t = t + y. Let v(z) = -z**3 - z**2 + 5*z + 4. Let o be v(-3). Calculate the highest common divisor of t and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 3780?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 765 and 46648?\nAnswer: 2099160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2183 divide 62636819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -19, -21629, -2.\nAnswer: -21629, -19, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 227084 + 118453. Is i 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 12:01 AM and 1:45 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-132)\/(-9) + ((-21)\/(-9) - 3). Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92068 (base 16) to base 5\nAnswer: -123114440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/(-6)*(3 - -9). Let f = 1189 - 1173. What is the lowest common multiple of f and 6*(s\/(-6))\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -401 + -305?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 209*x + 419*x - 212*x.\nAnswer: -2*x + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, j: 5, m: 3, o: 1, f: 2, a: 5}. Give prob of sequence fa.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 129326830811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5750 and 2446625?\nAnswer: 2875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2771505*w + 8314520. Determine l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -j + 22, -2*j + 0*j = 3*q - 29. Calculate the remainder when (-8 - (-1596)\/70)*5 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5918 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(0 - 3)*1. Let x = -0.353 + 0.523. Let s = 1.83 + x. What is the nearest to b in s, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**5 - 156*f**4 - 1719*f**3 + 462*f**2 + 4872*f - 3456 = 0?\nAnswer: -36, -16, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**3 + 8*w**2 - 5*w - 2. Let m(t) = 14*t**3 + 23*t**2 - 15*t - 7. Let d be ((-24)\/21)\/((-2)\/7). Let u(f) = d*m(f) - 11*p(f). Calculate u(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1575*d. Let q(g) = g + 15086. Determine q(w(p)).\nAnswer: 1575*p + 15086","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 39 = 17. Suppose -13*r + 16*r = -w + 35, 3*r - 45 = -3*w. Let c = f - r. Calculate the least common multiple of c and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/6*(14558\/319 + -46). Which is the third biggest value? (a) m (b) 15 (c) -1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 12*s**2 - 9*s - 9. Let g be k(8). Let n = -60 + g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 13*q = -25. Suppose 3 = q*l - 17. Let j(s) = -3*s**2 - 12*s - 4 + 14*s + s**3 - s**2. What is j(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 w when four letters picked without replacement from awadxdkuawdaxawwaxx.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 833*a**2*l + 5*a*l - 97 wrt a?\nAnswer: 1666*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, 12, 117755\/4 in decreasing order.\nAnswer: 117755\/4, 12, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 4*f + 2. Let u be d(4). Is 4 a factor of ((-3)\/6)\/(u\/(-44))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2642167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 4301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 46. Let z(s) = s**3 + 6*s**2 + 8*s + 8. Calculate the remainder when 43 is divided by z(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11289*t**3 + 11354*t**2.\nAnswer: -67734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1127*b + 3251. What is the tens digit of x(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 681 (b) -1\/4 (c) 0.05 (d) -0.3 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21 - (33\/27 + (-6)\/27). Let v be 80 + (2 - 2) + 0. Calculate the greatest common divisor of v and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 - -44) + 9 + -1 + 50 + -1?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92375*h*x**2 + 2*x**2 - 247954 wrt h.\nAnswer: -92375*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 7:04 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmucunpupxuxxppuu. Give prob of picking 2 x, 1 n, and 1 p.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34, -38, -44, -52, -62, -74, -88?\n\"Answer: -d**2 - d - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*g - 31*g - 318. What is the remainder when g is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 9. Let t = -5 - h. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-22))\/(10\/(-6))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 10*l = 532. Let g(t) = 7*t + l + 3*t - 7*t - 2*t. Does 19 divide g(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 4*i + 17 + 36.\nAnswer: 2*i + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6300 + 6303. Solve -r + c*r + 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2322377 - 7?\nAnswer: 2322370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127533 is divided by 5544?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.63 - -2.63. Let n = -2.9 + -0.1. Which is the nearest to 0.5? (a) 1\/6 (b) f (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/210)\/(15\/70)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112398.\nAnswer: 2, 3, 11, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196, -392, -588, -784?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 88 - 87 + 7*n - 16*n + 8*n.\nAnswer: -5*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1451000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 60.75944.\nAnswer: -30.37972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*-2382471.\nAnswer: -214422.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 23, 36, 41, 32, 3, -52?\n\"Answer: -o**3 + 5*o**2 + 7*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -11. Suppose z*b + 5 = 3*b. Suppose -3*c + 2*p + 29 = 0, c - 5*p = b*c - 54. What is the smallest common multiple of 6 and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2487 divided by 5?\nAnswer: 2487\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6160*y + 55438. Determine u(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426551779?\nAnswer: 426551779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + (32 + 5 - 7) - (-2 + 3 + -94)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0148539 rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 158880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**4\/8 + g**3\/6 + g**2. Suppose t - 6 = -0*t. Let p = t - 7. What is h(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7629 + 10944. Is x a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6881?\nAnswer: 7, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**(2\/15)*q*q)\/q)\/(q**(16\/7)\/q)*((q\/(q\/((q*((q\/(((q\/(q*q**(-1\/16)*q))\/q)\/q)*q*q)\/q)\/q*q*q)\/q*q))*q)\/q)\/q**(-24) assuming q is positive.\nAnswer: q**(53399\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5 - 902*k**4 - 132036*k**3 - 5810940*k**2 + 70849350*k + 737525250 = 0 for k.\nAnswer: -165, -129, -7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - (-1 + -8 - -10 - -9).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*c - 18 - 17, 3*c = 3*p. What is the least common multiple of 22\/5 + 6\/10 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8048.5 - 8048. Let i be (167\/9)\/((-5)\/12). Let j = 134\/3 + i. What is the second smallest value in j, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 10*m - 31. Let h be l(4). Suppose -h*p = -5*p + 4*t + 12, -4*t + 6 = -5*p. Which is the closest to -5\/6? (a) 4 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2726 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -202 + 477. Let r = h + -1928\/7. Let s = 8.16 + -8.26. What is the smallest value in 5, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/7, -3\/2, -0.1, 0.4, -16, -68407, -4\/9?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -20, 12, 78, 190, 360, 600, 922?\nAnswer: 1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -25*z**5\/4 - 13305*z**4\/4 - 442886*z**3 - 86318*z**2 + 282492*z - 70756 = 0.\nAnswer: -266, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3*4\/18)\/((-390)\/351)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -48*n**2 - 3. Let j(v) = -14*v - 2045. Determine j(d(y)).\nAnswer: 672*y**2 - 2003","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/(c*c*c*(c*c**(-5))\/c)*(c**0)**24)**34 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 1, c: 1, l: 1, a: 1}. What is prob of picking 1 l and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 241800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 388*v + 760.\nAnswer: 4*(v + 2)*(v + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/5 - 1726\/2880. Let w = o - -4139\/1440. What is the common denominator of 259\/48 + 6\/(-18) and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0046478 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1 - (-2 - -9) - -8) + 5 + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231788, -230983, -230178?\nAnswer: -229373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -140*f**4 + f**3 - 43648*f - 4626415.\nAnswer: -560*f**3 + 3*f**2 - 43648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -45. Suppose o*v - 4*v + 4*g + 4364 = 0, -2*v - g = -2170. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3531.\nAnswer: 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - b + 3*b)*(-6 - 3 - 1 - 3 + 1 + 0 + (-3 + 3 - 1)*(2 - 1 + 1)) in the form d + q*b and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**5 - 31*n**2 - 54*n + 4?\nAnswer: -40*n**3 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 92*u**3 - 6615*u + 6615*u - 115*u**3.\nAnswer: -207*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 43*w**2 - 91*w - 33. Is h(-41) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**2 + 7*k + 6. Let s = -2 + -3. Is z(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxpmxpxpempmp. What is prob of picking 1 x, 1 m, and 1 e?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*i**4\/2 + 5835*i**3 - 439743*i**2\/2 - 553158*i - 337014.\nAnswer: -3*(i - 79)**2*(5*i + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/132 + (-4760)\/(-13200).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107 + 35. Let j = -69 - q. Factor -13*s**5 - 24*s**4 + 4*s**5 - 6*s**3 - 6*s**j.\nAnswer: -3*s**3*(s + 2)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3115.49 less than 8?\nAnswer: 3123.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 6*a**2 - 4*a - 2. Let c be t(-4). Let s = 94 - c. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.7 + -21. Which is the smallest value? (a) t (b) -0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 + 8*g**3 - 5*g**2 - 14*g.\nAnswer: -g*(g - 7)*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 995083060?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Suppose -4*c + 200 = 2*l, -5*c + 5*l = -3*c - 124. Suppose a + o*a - c = 0. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 63*x + 6. What is z(-31)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 3:43 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iickkkiekceckkccdd. What is prob of picking 2 i and 2 k?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/606126 and 97\/2.\nAnswer: 606126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2145 + -1?\nAnswer: -2146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12311 - 33313?\nAnswer: -112230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*-1 - (-1 - 2). Let t = f + 5. Solve -o + t = -3*o, -4*g - 21 = 3*o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -42 and 113.79.\nAnswer: 71.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikiiiikkiikkiikiiik. What is prob of sequence kiki?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*i = 18, -8*m + 4 = -5*m - 2*i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5459 or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*1\/(-1)*10\/(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138378 is divided by 76.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -8) + (42 - 43).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/(2\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/12*(-150)\/40?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/6840 and 11\/342.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(9\/7)*w)\/w)**31\/((w*(w*w\/(w*w*w**29))\/w)\/(w\/w**(-41))) assuming w is positive.\nAnswer: w**(993\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - 0.04. Let v = 0.21 - i. Let y = -0.0282 - 0.0718. What is the biggest value in v, y, -2\/15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1144 (base 7) to base 5.\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n + 1 - 37 = 0. Suppose -5*x = n*s - 29, -6*x - 32 = -3*s - 2*x. Solve -2*f - s = 4*a, -4*f + 2*a - 5 = -1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**5\/70 - 31*q**4\/42 - 60*q**3\/7 - 288*q**2\/7 - 5530*q. Factor z(t).\nAnswer: -2*(t + 3)*(t + 4)*(t + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 33*t + 99. Let h(v) = -15*v - 49. Calculate 5*h(x) + 2*u(x).\nAnswer: -9*x - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -223742718*x**3 + 3*x**2 - 2*x - 244842105?\nAnswer: -1342456308*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(16\/5 + -3). Let j(d) = 41*d**3 + d**2 + d - 1. Let f be j(m). Is f\/9 + 8\/(-12) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2. Let v(n) = -n. Suppose -2*j - 5 = -5*q + 6, -2*q + 12 = 3*j. Let g(c) = 6*c. Let w(x) = j*g(x) + 10*v(x). What is w(p(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12023 (base 7) to base 9.\nAnswer: 4228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12151\/11 + 1105. Factor -8\/11*d**3 + 10\/11*d**2 + 2\/11*d**4 - b*d + 0.\nAnswer: 2*d*(d - 2)*(d - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/21 + (-186)\/14. Suppose 2*t - 2 - 2 = 0. Suppose 0 = 2*s + 3*p + 39, 0*s = 5*s + t*p + 70. Is s equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from trquqgumqt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*(d*d\/(d\/d**(1\/2)*d)*d)\/d)**(-2\/37))**50 assuming d is positive.\nAnswer: d**(-250\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 11*v**2 + 42*v + 3. Let k be w(-14). Factor -k*q**3 - 12*q**2 + 4459*q - 4471*q + 0*q**2.\nAnswer: -3*q*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 5*h**2 + 6*h + 4. Let q be a(-4). Let p = q - 0. Find the common denominator of (34\/12)\/((-2)\/p) and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2466.24781 and -4.\nAnswer: 9864.99124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*f + g, -4*f - 4*g - 30 + 94 = 0. Suppose 3*x + 288 = 4*d, 2*d = 3*x + 159 - f. Calculate the least common multiple of 18 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*-5*(sqrt(99) + 2)**2 - (3 + ((0 + sqrt(99))*1)**2)) + 1.\nAnswer: 60*sqrt(11) + 411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 431300000 rounded to the nearest 1000000?\nAnswer: 431000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/(2\/(-9)). Let k be (25 + -24)\/((-1)\/(-3)). Let s be k + -2 + x + -8. Which is smaller: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1125978392.\nAnswer: 2, 7, 11, 43, 42509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 572?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from {x: 1, j: 1, e: 2, r: 2, s: 10}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 721591 and 611?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62853733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 599 - 130. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4450*l*n**4 + 1890*l + n**4 - 3*n - 1 wrt n.\nAnswer: -53400*l*n**2 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 187373 in -4\/7, 6, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18*(2108\/(-153) - -14) - 1*-7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 6*z - 4. Let v be y(4). Suppose v = 3*c - 8. Let l = c - 0. Solve -m = -l + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 11*c + 6*s - 54 = 0, -4*c + 11*s = 23 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a factor of 8494872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 4*k**2 + 37*k + 206. Does 43 divide t(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (217*r + 1087*r + 1783*r)*(r - 4*r + r).\nAnswer: -6174*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b + 120 = 30. Solve -b*o + 2 = 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32114211 - 4?\nAnswer: 32114202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 9*f + 12. Let n be y(-10). Let o(q) = -136*q**2 + q**3 + 22*q + 62*q**n + 62*q**2. List the prime factors of o(10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*x**2*y**3 + 165*x**2*y**2 - 12*y**3 - 2*y wrt x.\nAnswer: 4*x*y**3 + 330*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -150*f*j**5 + 4*f*j**3 - 14*f - 2*j**6 - 33*j**2 wrt j.\nAnswer: -9000*f*j**2 + 24*f - 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/14 - (-12)\/21 - -8. Suppose -16 - f = -z. Solve 3*v + k = 15, z = 7*v - 2*v - k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + 0 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 9. Suppose 7 = l + 3*u - b, -3*l - 16 = -4*u. Suppose l = -k + 66 + 8. Calculate the remainder when k is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - -100015?\nAnswer: 55550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3\/15 + 22*k**2\/3 + 244*k\/5 = 0.\nAnswer: -6, 0, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4 = i, 21 = -113*i + 109*i + m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 7, 0, 3\/8, 4, 0.4, 466898\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72 - -65?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 12:11 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*i - 57 + 205 = -48*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxogosoosoohoc. Give prob of picking 1 x, 2 o, and 1 c.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*g = 341*g - 8028449. What is the ten thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -7. Let r(t) = t**3 + 5*t**2 + 5*t + 3. Let j be r(-3). Solve j*o = f*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6 + (-2388)\/(-18). Suppose -5*h + x = -h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1827*o - 6375*o + 2109*o.\nAnswer: -6093*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -15, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-1)\/((-1)\/4). Let o = -8\/89 + -1303\/356. Let k = o - -127\/36. Which is the third smallest value? (a) h (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((33\/18)\/11*8)\/((-20)\/25*1)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b = -2. Solve -b*q + 7*q = 3*j - 5, 2*j - 1 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -9a?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*z - 5*z - 12, 4*z + 14 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 9*o**2 + 2*o. Let h be v(12). Round h to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*q**3 + 0*q**2 + 3\/4*q + 1\/2.\nAnswer: -(q - 2)*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in -0.01, 0.024, -5, 0.5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38138936 and 3784?\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27514706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 12, y: 1}. Give prob of picking 1 y and 2 u.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*q + 9*q + 6. Suppose 3*z + y + 4*y = -28, 5*z = y. Let t = z + q. Solve -t = -4*g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/4 and 61\/528?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15253390 divided by -817\nAnswer: -18670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2.4 (b) -1 (c) 2 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 794*z - 402*z - 394*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-15)\/(-35))\/(80\/84) and (-14)\/80*12\/(-5)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 3*b**5\/20 - 292*b**2. Let l(n) = n - 47. What is l(c(k))?\nAnswer: 9*k**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/7, -56, -1326 in decreasing order.\nAnswer: 5\/7, -56, -1326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -844, -3583, -9146, -18475, -32512, -52199?\nAnswer: -78478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. Suppose -p = 4*b - 22, b = 3*p + 3 - r. Find the third derivative of -o**p + 0*o**4 + 3*o**2 - 3*o**4 wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 8*d + 4. Let x be h(-8). Suppose 4*l - x*q = 0, -2 = -3*l - 2*q + 8. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14849, 58662, 131687, 233912, 365325, 525914, 715667, 934572?\nAnswer: 1182617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 + 2*r**4 + 16*r**4)*(3 - 3 + 1)*(0*r - 2*r + 3*r).\nAnswer: 19*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 - 4 - 5*q**2 - 2 + 28 + 2*q to i*q + a*q**2 + c and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + 5 = 2*a - 10*n, -5*n + 25 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 488.9 + -562. Let p = -69 - a. Let c = p - 4.099954. What is c rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxxxxiwmxhxwlxi. Give prob of sequence li.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2731 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, h: 8, y: 6, s: 3}. What is prob of picking 1 y, 2 s, and 1 h?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 21, -3, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.36787 rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 2, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(21\/35*-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 46*a**2 + 46*a - 47. Calculate i(-47).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/345839, 10\/21, 5 in decreasing order.\nAnswer: 5, 2, 10\/21, 2\/345839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1545, -6214, -14143, -25452, -40261, -58690, -80859, -106888?\nAnswer: -136897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 - 38. What are the prime factors of p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g**2 + 14*g**2 + g**3 - 8*g**2 + 2. Let d be k(0). Suppose 3*a - 4*f - 102 = 0, -52 = -d*a - 3*f + 16. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1769976, -1769915, -1769854, -1769793, -1769732, -1769671?\nAnswer: -1769610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 208*g**2 - 13763*g + 2146. What is i(66)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*p**2 - 135*p**2 + 13*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19375704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1375000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 45603736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 + 5254*n + 118708. Determine r(-23).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 2*q**2 + q + 1. Let u(s) = -3*s**3 - 14*s**2 + 7*s + 16. Let d = -185 - -182. Let i(x) = d*u(x) + 21*m(x). Differentiate i(c) wrt c.\nAnswer: 90*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 (base 14) to base 12\nAnswer: -14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 10*q - 12 = 0. Suppose -2 = -n + q. Solve -2*p + n*p = -6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2032)\/(-64))\/((-1)\/(-44)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**3 + 221*m**2 - 79 + 221*m**2 - 659*m**2 - 3*m + 217*m**2.\nAnswer: 8*m**3 - 3*m - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 8. Let q be b(6). Differentiate q - 1 + 3*r**4 - 4 + 4 wrt r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/1400 - 160653\/1400. Let l = a + 1034\/9. Find the common denominator of l and (-24)\/(-3 - 1) + 496\/(-60).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6645084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 + f - 1. Let l be q(1). Suppose 9 = l*y - 11. Suppose -5*d - 2 = -z + 23, y*z - d = 53. What is the remainder when 29 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142801114.\nAnswer: 2, 41, 1741477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.143838 - -1731280802\nAnswer: 1731280801.856162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*p - 4*p - 13*p)*(4*p - 3*p - 2*p + (2*p - 3*p - p)*(3 + 4 - 5)).\nAnswer: 130*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1436, 1432, 1426, 1418, 1408, 1396, 1382?\nAnswer: 1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2005473?\nAnswer: 3, 17, 39323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0233277 rounded to 4 dps?\nAnswer: -0.0233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 14 + -11 - (-10 - -12).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.892407 litres?\nAnswer: 2892.407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.4 - -0.4. Let r be (54\/(-9))\/(-1 - 1). Let m be 46\/(-14) - (r - 6). Which is the smallest value? (a) 1 (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 13 = 4*h. What is the derivative of -k**4 - h*k**4 + 4*k**4 - 8 wrt k?\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**3 + 59*z**2 - 6*z + 24. Let t(p) = p**3 + p - 1. Determine -i(y) - 6*t(y).\nAnswer: -2*y**3 - 59*y**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-16)*h**(6\/7))**(-26) assuming h is positive.\nAnswer: h**(-3250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 3*f + 3. Is l(-9) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1921 + -1915. Let n be 10\/(-75)*(0 - 3\/(-2)). Which is the closest to 6? (a) k (b) 2\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46331*i**2 - 46147*i**2 - i**3 - 15 + 1 to the form b + j*i**2 + c*i**3 + w*i and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(((-6)\/(-14))\/3). Let z(v) = v - 9. Let h be z(j). Let f be (-1 - h) + 6\/3. Solve 13 = 4*i - f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212222120121 (base 3) to base 11\nAnswer: -2a2758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**6\/6 + 2*h**5\/5 + 37. Factor s(b).\nAnswer: b**4*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 41 - 16 = 0. Let f be 0 + (-3)\/(-9) + 0\/23. What is the smallest value in 5, 2\/5, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6 (b) -0.056 (c) 0.1 (d) -4 (e) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27213744 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 24*n - 3. Suppose 5*h = 5*i + 60, -2*i = 6 - 14. Calculate the remainder when p(2) is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14 of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -28\nAnswer: 37\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29534048 and 4398688.\nAnswer: 206738336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-30))\/((-6)\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103308 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/292 and -14 - (-949)\/182 - -14.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/36 - (-4)\/12. Let v = -335 - -335.1. Which is bigger: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 8:40 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/13)*r**(1\/10)*(r*((r\/(r\/(r*r\/r**(-15)))*r)\/r)\/r)\/r**(3\/4) assuming r is positive.\nAnswer: r**(4291\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/2 + (-1 - -2). Suppose u*r + 8 = 0, -i - 3*i - r = 14. Let h be (-3)\/i*2*2. Solve 1 = -n - h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**3*t*y - 9*m**3*y - 179*m*t*y**3 + 55*m*y**3 wrt t?\nAnswer: -2*m**3*y - 179*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 8. Suppose -3*k + 28 = -0*k + n, 0 = 4*k + n - 36. Is m(k) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212.2729 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(5\/12)\/s*s**28*(s*s*s**(-2\/7)\/s)**(-26) assuming s is positive.\nAnswer: s**(743\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 22*p - 112. Calculate i(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 18*n**3 + 6*n**2 + 39. Let d be (0 + 2\/(-6))*-3. Let w(u) = -u**2. Let z(x) = d*t(x) + 6*w(x). What is the first derivative of z(m) wrt m?\nAnswer: 54*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 40. Let x = l + 10. Let m = x - -12.09. Round m to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0, 43, 2, 16 in descending order.\nAnswer: 43, 19, 16, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(((w**(-1\/3)\/w)\/w)\/w))**15*(w*w\/w**(2\/7))**(-4\/11))**(-42) assuming w is positive.\nAnswer: w**(-29742\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 6*n**2 + 4*n + 3. What is h(-5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 708668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30, -128, -292, -522, -818, -1180?\n\"Answer: -33*f**2 + f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 4*s - 16, 0*s - 3*s + 6 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -170*j**2. Let k(s) be the third derivative of s**6\/360 - 19*s**3\/3 + 191*s**2. Let a(b) be the first derivative of k(b). What is m(a(p))?\nAnswer: -170*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22913 by 1.\nAnswer: 22913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -566 - 65482. Let h be ((-251448)\/(-10))\/(33\/110). Suppose -3*l + h = o. Round l to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 3*v**2 - 32*v - 6. What is t(4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-33)\/(-1485))\/(15\/25)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -1. Let q(g) = -3*g + 9. Let d be q(5). Let u(h) = -h**2 - 7*h - 3. Let p be u(d). What is the greatest common factor of x and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -51. Suppose m = -2*s + 3*w + 12, 3*w + w + 12 = 2*s. What is the third derivative of -6*j**3 - s*j**3 - 13*j**3 - 3*j**2 - 6*j**2 wrt j?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 2*n**3\/3 + n**2\/2 - n. Let s be g(2). Find the common denominator of -67\/12 and (s\/(-6))\/(18\/103).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -670*r**2 - 1049 with respect to r.\nAnswer: -1340*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328*v - 398*v + 3850 = 0. Solve l + v = -10*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 12:43 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*sqrt(70))\/sqrt(10) - ((sqrt(7) - sqrt(35)\/sqrt(5))*-4)**2).\nAnswer: -2*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**4\/30 + 592*u**3\/3 - 438080*u**2 + 2655*u. Factor d(b).\nAnswer: -2*(b - 1480)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 337338993 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 4)*(10*y + 80 + 11*y - 79) as i*y + r and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4302*l + 3*d + 490573 = -4301*l, -5*l + 2452769 = -3*d. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -44*h - i, -5*h = 3*i - 4 + 55 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/117611 and -73\/8.\nAnswer: 940888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6134435857.\nAnswer: 11, 43, 1179019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51276199 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -398.84\nAnswer: -79.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11*o**2 - 1182*o - 4902. What is j(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33264 - -532227\/16. Which is the closest to 0.2? (a) -3\/2 (b) -0.4 (c) z (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)\/sqrt(12) + 1)**2*-5 - (0 + (sqrt(153) - sqrt(153)*-1)\/sqrt(9)))*1.\nAnswer: -90 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 0.5, 3, 91?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 (base 7) in base 3?\nAnswer: 12121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 4*b + 8, -d + 157 = -3*b + 146 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2594*b - 10370. Give f(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 827461963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1685867*m**3 - 36*m**2 + 62*m - 84 wrt m.\nAnswer: -10115202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22\/165 - (25239\/(-45) + 1) is divided by 78?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 587076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/35)\/(7852\/(-13741)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65.09018593 - 0.09028693. Let u = d + -65. Round u to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 2*c**6\/27 - 2*c**5\/45 - 17*c**4\/18 + 38*c**3\/27 + 5*c**2\/3 - 4*c - 483. Suppose i(q) = 0. Calculate q.\nAnswer: -3, -1, 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - q = 7, 8*q + 13 = -4*z + 3*q. Which is the closest to -0.1? (a) -1\/2 (b) z (c) 0 (d) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.862 - -6.8. Let l = -4.062 - j. Which is the third smallest value? (a) -0.2 (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -875818.75 - 1686?\nAnswer: -877504.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -2.3.\nAnswer: -3, -2.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -22 (b) 0.24 (c) -8\/3 (d) 37\/4 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 + 17*n + 16. Let d be w(-1). Solve b = 5*l + 15, -4*l + 4 = -d*b - 2*b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/(-3) - 335\/(-201)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 368?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2. Suppose 4*c = 3*c + 3. Let y(w) = -2*w + 29. Let a be y(12). Let h(q) = q - q - a*q + c*q. Give z(h(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1709149669?\nAnswer: 1709149669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 81, 349, 805, 1455, 2305, 3361, 4629, 6115?\n\"Answer: j**3 + 88*j**2 - 3*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.3129 + -26.3. Round k to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15*z - 55 = -10*z, 4*p + 3*z = 2. Put 0, 1, p, 179, -2 in descending order.\nAnswer: 179, p, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128405 divided by -5\nAnswer: -25681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 2 - (-12 - -17) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 18*z**2 + 39*z - 1085. Is w(-33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 13*y**4\/12 - y**3\/3 + 3275*y**2. Suppose -5*u + 3*q - 4 = -u, 0 = -u + 5*q - 18. List the prime factors of g(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240.173424 seconds in days?\nAnswer: 0.002779785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-380)*((-1)\/5 - 405\/(-150))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s - 1556 + 45945 = -3365. Round s to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6873?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 34*p + 2254. Calculate the remainder when 1299 is divided by g(-66).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128835076 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(((-2)\/3)\/((-44)\/99)). Let z be (54\/30 - 1)*(-50)\/4. Let v be (10\/25)\/((-17)\/z). What is the biggest value in -0.5, v, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583 + 244*k**3 - 288 + 34*k**3 - 296.\nAnswer: 278*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13157 + 19236. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5 + 3. Suppose 0 = -5*i - 5*y + 15, -5*i + 2*y = -k*i. Let z(l) = -4 - 3*l - i + 4*l. Give z(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -62*w**2. Let f(s) = -26*s**2. Determine f(n(g)).\nAnswer: -99944*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**4\/4 - 4*a**3\/3 + 3*a**2\/2 + 4*a + 2. Suppose 17 = -5*n - 4*u, 3*u + 0 = 6. Is i(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 162*x**3 + x**2 - 107*x + 394. Is 17 a factor of d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -7*b + 1\/3*b**3 + 3 + 1\/2*b**2. Is d(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 less than 219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5 + (-2 + 0 + 0)*(-1 - 5 + 4))*(0*j - j + 0*j + 5*j - 2*j - j + (0*j + 0*j - 2*j)*(1 + 1 - 4) - 3*j - 3*j + 3*j).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 88*f**3*l - 356*f**3 + 3*f**2*l wrt l?\nAnswer: 88*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20032876, -20032881, -20032886, -20032891, -20032896, -20032901?\nAnswer: -20032906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2\/5 + 6152*r\/5 - 939808\/5.\nAnswer: -4*(r - 1366)*(r - 172)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1999 - 52689742107.\nAnswer: -52689742107.1999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.36 - -2.3653. Round z to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2261)\/(-133) - 42\/3. Solve 0 = 2*b + 2*g, a*g + 11 = -4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13842*t - 1633354. Give o(118).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h + 28*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d + 63*d + 1 - 16*d - 26*d - 1.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13112 by 6556.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a196 (base 12) to base 14.\nAnswer: -210c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, r: 2}. Give prob of sequence rz.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/((g*(g\/g**(-2\/53))\/g)\/g*g)))\/g)**(1\/58) assuming g is positive.\nAnswer: g**(55\/3074)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (155 - 140) + (3 - -2) + -1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/17 + -15\/34. Put -3\/5, o, -1 in increasing order.\nAnswer: -1, -3\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6}. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7224, 7973, 8720, 9465, 10208, 10949, 11688?\nAnswer: 12425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 744 and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, f: 1, b: 6, x: 2}. Give prob of sequence bbmx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28208 + -28186. Let t(y) = y**3 + 5*y**2. Let q be t(-5). Suppose 0 = u - q*u. Put c, u, -3 in decreasing order.\nAnswer: c, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122 - 35. Let w = -62 + p. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f**4 + 144065*f**3 - 461136030*f**2 + 491673215820*f + 820736960200 = 0. What is f?\nAnswer: -5\/3, 3202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6697, -6699, -6701, -6703, -6705?\n\"Answer: -2*t - 6695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -99178, -402414, -907808, -1615360, -2525070?\n\"Answer: -101079*m**2 + m + 1900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -277*t**3 - 9*t + 277*t**3 - 11*t**4 wrt t.\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2396*v - 2239*v + 5377*v)*(2 + 0 - 4).\nAnswer: -1484*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*b = 25, -3*i = -b + 4 + 1. Sort -0.4, 3, i in decreasing order.\nAnswer: 3, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12535 + 125329\/10. Calculate the common denominator of -35\/16 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1696365 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 45*q - 256. Let h be m(-6). What is the greatest common factor of h and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -877*p + 5. Is i(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 - 42*s + 34*s + 0*s**3 - s**2 + 2*s**4 to l*s**4 + m*s**3 + f*s + z + v*s**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301 + -13300?\nAnswer: -12333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -625*b*f + 17685*b - 1 with respect to f.\nAnswer: -625*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*j**2 + 126*j**2 - 81*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017308283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 12*r**2 - r - 24. Let a be m(-12). Let t be ((-3)\/a - 0)*52. Let o(d) = d**2 - 14*d + 5. Let v be o(t). Which is bigger: v or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1157\/40?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 2*z**3 - 2*z**3)*(-1079*z + 533*z - 392*z).\nAnswer: 1876*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - p**2 + p**2)*(-268*p - 28*p - 9*p).\nAnswer: 305*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -638 - -925. Let q(h) = 3 + 580*h - i*h + h**2 - 298*h. Determine q(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.23.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 159668020 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 303*q**5 + 258*q**5 + 488*q**5 - 268*q**2 + 25*q**2 + 142*q**5 wrt q.\nAnswer: 71460*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 102. What are the prime factors of (11 - 3)*l\/(-4)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -700 - -49702\/71. Let l be 22\/165 - 3\/((-90)\/(-4)). Suppose -3*j = -l*j - 0*j. Is r less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqp when three letters picked without replacement from {q: 2, l: 1, r: 4, p: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*j**6 + 2*j**4 + 51983*j**3*v + 4*j**2*v - j**2 - 128950*v - 61 wrt j?\nAnswer: -5400*j**3 + 48*j + 311898*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 12*j - 9. Let v(k) = k**2 + 48*k - 37. Let i(p) = -9*s(p) + 2*v(p). Let n be i(8). Calculate the greatest common factor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11209?\nAnswer: 11, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 11*w + 18. Suppose -4*n = 3*t + 14, -4*t = -0*t + 3*n + 14. Let x be t\/(2 - 24\/9). Solve 0 = 4*m + 12, -w*g + 18 = -x*g - 5*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 82632 = 3*g, z - 5*g - 165270 = -3*z. Is 29 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 4*d**2 - 5*d - 4. Let j(s) be the third derivative of s**5\/60 - s**4\/4 + s**3\/3 - 2*s**2. Let o be j(3). Let c = o + 4. Calculate n(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.122 rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*g - 100*g + 54*g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/45*(-7)\/((-112)\/8).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/34*((-8)\/7)\/((-730)\/511)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 l, and 1 e when three letters picked without replacement from aaaalaeee?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**4\/12 + w**2\/2 - 65*w + 18. Let z(i) be the second derivative of l(i). Let j(c) = -3*c**2. Give j(z(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45.7 - 45.6. Which is the nearest to 3\/2? (a) -0.3 (b) -1 (c) j (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.1 + 4.9. What is the second smallest value in -0.3, w, -5\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -653*k**4 + 431*k**2?\nAnswer: -15672*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13020053 and -1.\nAnswer: 13020053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 266, 2055, 6906, 16349, 31914?\n\"Answer: 255*p**3 + p**2 + p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000988888 rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*65\/(-26).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-11 - -5) - (5 - (-3 - -2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7129973.3 rounded to the nearest ten thousand?\nAnswer: 7130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.7 + -5. Let o = -9 + 5. Which is the nearest to 2? (a) r (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/3 - 1) + 1. Suppose -2 = c + k. Let y(d) = -7*d + 2. Let i be y(c). Calculate the greatest common factor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15295 is divided by 478.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -265123 * 0.5.\nAnswer: -132561.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/6*21\/7. Let q = -8 - c. Solve 5*y - 3*v + 14 = 0, q*y + 4*v - 9 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqqq when four letters picked without replacement from bkbbbbkyqbbqbbbybyqb.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 624722 + -177?\nAnswer: 624523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57185951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -11*x + 3. Let v(l) = l - 12. Let f be v(9). Is o(f) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -82, -3\/7, 24\/13 in descending order.\nAnswer: 4, 24\/13, -3\/7, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3049 divided by 3.\nAnswer: 3049\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3\/(-2)*(-53 + 51).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k. Let n(f) = -2*f**2 + f - 2. What is n(t(j))?\nAnswer: -32*j**2 - 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -4, -15, -32, -55?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 2*h**2.\nAnswer: h**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10317 + -10313. What is the closest to 1\/13 in -1\/2, d, -3, -12\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - 56*t - 247. Let d be a(-4). Suppose -2*v + 10 = 0, 2*l - 739 = -l - 2*v. Calculate the greatest common factor of d and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171 divided by 57.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22346.71 litres?\nAnswer: 22346710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 8:52 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 4, r: 3, n: 3, u: 8}. Give prob of sequence ior.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 5*n - 1642. Let a be g(0). Is 18 a factor of (-8)\/40 + a\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4)\/(6\/(-8)). Let o be 5\/4 - h\/(-8). Suppose -3*x + o = -2*x. Solve -2*y - x = -9 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49148821?\nAnswer: 199, 246979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17186, -14778, -10766, -5150, 2070, 10894, 21322?\nAnswer: 33354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 + -15 - 32) + 0 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -120546 + 2205?\nAnswer: -116341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2. Let t be 4\/3 - 4\/(-6). Let v be (-16)\/(-4) + 2\/2. Let m(p) = -5*p**2 + v*p**t - 2*p**2. Give h(m(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -1) + (3 - 666\/9). Let v = n - -70. Suppose -5*y = -5*j - 315, v*y + j = y + 71. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 13\/2*d**2 + 1\/20*d**5 + 0 - 19\/12*d**4 + 3*d**3 + 3*d. Does 5 divide s(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 7. Let u be i(-5). Which is smaller: 4\/3 or u?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.4, -0.2, -3\/7, -440454?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-10))\/((-48)\/10 + 5). Let j be (9\/m)\/(6\/4 - 0). Which is greater: 42 or j?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**4\/24 + i**3\/6 + i**2. Let n be b(-1). Solve 0 = -o - 3*u + 8, 2*o + n*u + 2*u = 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -28*1 + (1 - 0). What is the units digit of (q\/(-12) - 4)*-4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + y = 12. Let s(z) = 2*z - 6. Let l be s(5). Put 0, l, y in decreasing order.\nAnswer: l, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (900\/(-120)*4\/30)\/((-1)\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 394 = 2*x - 3*n, -3*x + 557 = n. What are the prime factors of x?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -897*v + 1 + 1 - 76*v**2 + 0 + 897*v.\nAnswer: -76*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 29*h**2 - 12700*h - 187374. Calculate f(-15).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*s - 21 = 44, -5*s = 25. Let c = 6.05 + -6. Let n = c + -1.05. What is the closest to -1 in n, -5, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6866043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-2 + (-15)\/6). Let l = -238 + 405. Let i = l - 166. What is the biggest value in 6\/11, 1\/4, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36154 * -7395.\nAnswer: 267358830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 18*g - 14. Determine q(15).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 573341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) - 2500\/(-870). Let m = f - 6\/29. Is m at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 537, 5, 2, -534211.\nAnswer: -534211, 2, 5, 537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*p + 115*p - 5*f - 42229, -10526 = -p - 5*f. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 41.5294?\nAnswer: -41.5294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (404*p + 301*p - 510*p)*(0 - 1 + 0).\nAnswer: -195*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1047364 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 90, 2 in ascending order.\nAnswer: 2, 5, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*l = 0. Suppose 2*b = 3*h - 6*h, -16 = -2*h + 4*b. Suppose 3*q = h*q. Does l = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -360546 (base 7) to base 8\nAnswer: -177122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 6 = -4*z. Suppose -3*l + z*l = 0. Let y(u) = -u**3 - u**2 - u + 35. Is y(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 4*q = 3*h - 18, -h + 2*q + 8 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3349?\nAnswer: 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 3:27 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*t + 27, -5*t + 2*j = -4*t - 14. Solve -t*d = -6*d + 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 - (-8 + (1 - -8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezre when four letters picked without replacement from mpfezreeeee?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -6 - 1) + (-144 - -120)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2 - 0. Let z(f) = -29*f**3 + 6*f**2 + 31*f + 17. Let m(v) = 10*v**3 - 2*v**2 - 11*v - 6. Let d(y) = -17*m(y) - 6*z(y). Give d(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.093802 from 962156490.\nAnswer: 962156489.906198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5646255 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -170b5 + -2861?\nAnswer: -19956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7000*m - 342367 - 308633 = 0 for m.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -15*j + 2. Solve 2*t - j = -2*d + 7*t, -4*d - 4*t - 24 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0102698 rounded to five decimal places?\nAnswer: 0.01027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8680639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 255*k**5 + 124*k**5 - 95*k**5 + (3*k**3 - 3*k**3 + 2*k**3)*(k**2 - 2*k**2 + 4*k**2)*(1 - 2 + 3).\nAnswer: 296*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*v = 12151 + 9076 - 3892 + 4148 for v.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v**2 + 2*v - 1. Let j be i(0). Let a = 79 + -52. What is the remainder when -1 + 99 + 2\/j*-2 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/5)\/(f*f**(2\/13)))\/((f\/((f\/f**15)\/f*f))\/(f\/(f*f**14)*f*f)))**28 assuming f is positive.\nAnswer: f**(-50512\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -36\/3589, 0, 72 in increasing order.\nAnswer: -36\/3589, 0, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143467 is divided by 178?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in -8, -0.3, 1.2, 1.74, -2\/17, -9?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/1)\/((-19295)\/92616).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 7*k + 4*k + (k + 2 - 2)*(0 - 3 + 4) + (-2*k + 0*k + 0*k + 0*k - 2*k + 3*k + (3*k - 3*k + 2*k)*(7 - 2 - 3))*(-1 + 1 + 1).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -27.364 and -1518742?\nAnswer: 1518714.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 219 = -3*v - 199, -2*v = -8. Let u = j + 228. Solve -5*f = -c + 3*c - u, c = 2*f - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10158580?\nAnswer: 2, 5, 47, 101, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2 + 5*u + 12. Let v(a) = -2*a**2 - 2*a - 6. Determine 9*v(y) + 4*z(y).\nAnswer: -2*y**2 + 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -2*l**3\/3 + 18*l**2 - 95*l - 97. Differentiate q(f) with respect to f.\nAnswer: -4*f + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13819.\nAnswer: 13, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 858 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1036, 1033, 1002, 931, 808, 621, 358, 7?\n\"Answer: -2*f**3 - 2*f**2 + 17*f + 1023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26154, 26932, 27710, 28488?\n\"Answer: 778*v + 25376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 5*i + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 + 81.9. Let i = g - 4.53. Let n = i + 0.6. What is n rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/3 + 148*d**2\/3 + 536*d\/3 - 560.\nAnswer: 2*(d - 2)*(d + 6)*(d + 70)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1752 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7874*d**2 + 15898*d**2 - 7960*d**2.\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42587227 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*y + 1. Suppose y*o - 7 = o. Suppose -2*u = -u - o. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 12:27 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 96 in -0.4, -1\/2, 0, 2\/7, 0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = 0. Let b be -1*(38 - (1 - u)). Let w = -16 - b. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368100 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5194187 - -0.1805993. Let a = -1.7 + o. Round a to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 9:04 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from {v: 7, s: 1, h: 1, w: 7, j: 3, p: 1}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1556 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*r - 7. Let w be (2 + 0)\/2 - r. Solve w = -3*n + 8*n + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (17 - 1 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1646268, 1646384, 1646526, 1646700, 1646912, 1647168, 1647474?\nAnswer: 1647836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 759334*q**5*u - 79*q**4*u + 10*q**2*u + q*u - 6*u - 45902 wrt q?\nAnswer: 45560040*q**2*u - 1896*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*p - 9 = 0, 6*u - u = 2*p - 21. Let g be 1*u*(-1)\/(-3). Which is the third biggest value? (a) g (b) 4 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70\/3 + -23. Let v = 0.01 + -3.01. Put p, v, 0 in descending order.\nAnswer: p, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/70)\/(((-14)\/(-7))\/(-30))*8267\/5905?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**4 - d**2 + 1. Let y(l) = 163*l**4 - 2*l**3 + 240*l**2 + 4. Let v(n) = -4*i(n) + y(n). Find the third derivative of v(j) wrt j.\nAnswer: 4296*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 772 - 770. Put 32, -2, n in descending order.\nAnswer: 32, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**2 + 29*x - 7*x + 4*x**2 + 8. Is f(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/25 - 39\/(-15). Let n be t\/4*(139 + -1). Let y = 9 + n. What is the remainder when y is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 2 - 1\/3*w + 0*w**4 + 0*w**2 + 2\/9*w**3 - 1\/15*w**5. Factor j(o).\nAnswer: -(o - 1)**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 697794 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 5:51 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(98))\/(-3*sqrt(3)*2).\nAnswer: -sqrt(3)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, -415, 3 in increasing order.\nAnswer: -415, 4\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44824, 89644, 134458, 179266, 224068?\nAnswer: 268864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 15*q - 12*q + 41*q - 14*q.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 552 divided by 3\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 21*r = -17*r - 11, 0 = -4*r - 4. Let k be -1*(1 - 0) + 1. Solve k = 2*h + 1 + 9, 0 = n - 4*h - g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6)*(868 - -17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 587336?\nAnswer: 587341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 172944571 + 4?\nAnswer: 172944575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/3)\/((-2)\/((-16)\/(-12)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/18)\/(4\/(-55)) and -29\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c - 2*c + 3*c**2 - c - c - 1. Suppose 5*x + 4*q + 3 + 3 = 0, -5*q = 4*x + 3. Determine t(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - -31. What is the remainder when h is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240409 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0472 - 261.9528. Let k = -262 - r. What is the closest to 0 in -0.1, -2, k, 35?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -78*l. Let d(t) = -24870*t. Determine y(d(x)).\nAnswer: 1939860*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 5*q**4\/12 + 62*q. Let f be (-3)\/(-2) - 18\/(-12). Let o(c) = 0 - 2*c - f + 3. What is o(u(b))?\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -25*s - 265. Determine p(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 16 = -v + 5*b, 5*b - 20 = 0. Suppose -v = 3*q - 6*q. What is the first derivative of 1 + 0*n**3 - 10 + n**q wrt n?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 219*g**4 + 7632*g - 7632*g + (2*g + 2*g**3 - 2*g)*(0*g - 3*g + g) + g**4 + g**2 - 3*g**3 - 3 + 3*g**3.\nAnswer: 216*g**4 + g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*h + 972 + 54156. Suppose h = -28*a + 10669. Calculate the remainder when a is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - d3279?\nAnswer: -d327e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Suppose o - 15 = x, -4*o - 3*x = -6*x - 57. Suppose a - h*q + o = 0, a - 3 = -5*q + 21. Is 3 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(8*1\/7892) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 89*i + 0*i**6 - 97\/56*i**8 - 10\/3*i**4 + 0*i**5 + 0*i**7 + 0*i**2 + 0 + 0*i**3. Find the third derivative of r(u) wrt u.\nAnswer: -11640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*c**2\/3 + 33*c - 266\/3.\nAnswer: (c - 2)*(17*c + 133)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 219716439 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + 2.\nAnswer: 2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 61 - 11*z**2 + 20*z**2.\nAnswer: 11*z**2 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/180 (b) -1\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/15, 11, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**7\/105 - 6*y**6\/5 + 277*y**5\/50 - 31*y**4\/5 - 17*y - 10. Suppose b(v) = 0. Calculate v.\nAnswer: -93, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) -30\/49 (c) -0.5 (d) -97 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*r + 8. Solve r*s = 11 + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -o - 42, -o - r + 24 - 42 = 0. Which is bigger: o or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -275 (b) 3 (c) 5 (d) 0.19 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3538835439?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 321622.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0104975052 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 5, 6 in descending order.\nAnswer: 6, 5, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s - 1. Let i be b(1). Put -1, -3, i, 5 in descending order.\nAnswer: 5, i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-105))\/(33\/(-77)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*q + 10596, 2*i = 4*q - 1597 + 6917. Let a = -21267\/8 + i. Calculate the common denominator of a and -51\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2\/3, 1\/3, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98399990 = -0*r + 4*r - 2*c, 3*r + 4*c = -73800020. Round r to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 1237\/3 in decreasing order.\nAnswer: 1237\/3, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p - 42*p = -4*g + 80, 0 = -p + 2*g + 20. Suppose 0 = r - 3*r - 2*t + 158, t = 2*r - 173. Calculate the remainder when r is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*1\/(-3 - -2). Suppose t*u + 4*u - 8 = 0. Solve 2*y - 2*i + 12 = 0, u*y - 1 = -5*i - 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-37))**(11\/7)*g**(-2\/85)*g*g*g**(-12\/13)*g*g*g*g*g*g assuming g is positive.\nAnswer: g**(-395177\/7735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (72\/128)\/((-14)\/8 - (-6 + 5)). Which is the closest to 0? (a) v (b) 3\/5 (c) 2\/3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -12*h - 16. Let r be (1\/(-2))\/(2\/56). Let b = h - r. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336\/30*4\/(-8)*1260\/(-49)?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1886024 or -1886023?\nAnswer: -1886024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**9\/504 - p**5\/15 - p**3\/3 - 6*p**2. Let u(q) be the first derivative of v(q). Find the second derivative of u(a) wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 559 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 867*v + 311 - 3*v**3 - 867*v - 158 - 153.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 1. Let u be -1 + (27\/n - 2). Suppose -z**2 + u*z - 1\/2 = 0. What is z?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-11)*(-104)\/104?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53155 or -50920?\nAnswer: -50920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -3, -1, -7 in descending order.\nAnswer: 4, 0, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + -2) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**(1\/3))\/n))\/((n\/n**9*n*n)\/n)*(n**(-8\/9))**(2\/149) assuming n is positive.\nAnswer: n**(10265\/1341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -258860 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 27) + -16 + 134 + -26?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*x)*(789*x**3 + 837*x**3 + 315*x**3).\nAnswer: -3882*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h + 8. Suppose 0 = -p - z - 1, -26 = 4*p - z - 2. Let s be -3 + 0 - 35\/p. Does 11 divide n(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3460598*0.47.\nAnswer: 1626481.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (684\/(-5776))\/((-54)\/48)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-16) - 30\/(-8). Let w be 1\/(42\/4)*b. What is the third biggest value in w, 3, 3\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -456, -662, -836, -972?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 7:30 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -1941041656.\nAnswer: -1941041655.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*i - 609 = -561, 3*n + i = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -16*r**2. Suppose -14*f = -37*f + 17664. Let y(t) = 5*t**2 + f - 768. What is y(q(u))?\nAnswer: 1280*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 2. Let q = -189 + 188. Let n(r) = -r + 1. Suppose -2 + 0 = 2*l. Give l*j(z) + q*n(z).\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 8*w - 15. Let j be (-3)\/2*(-5 + w + -4). Solve -j*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 450?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(468) - (sqrt(468) + 1))*-4 + 4)*-1*-4.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -854540 and -3999?\nAnswer: 850541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from {x: 2, a: 9, m: 1, j: 8}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*v - 8 - 2, 4*v - 3*y = -17. Is 4\/8*-3*-16 - v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, 90, 326, 782, 1530, 2642, 4190, 6246?\n\"Answer: 12*j**3 + 2*j**2 - 2*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 u when three letters picked without replacement from xxkqzukxnxuz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 2*d**2 + 5*d - 38. Determine c(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 11*b**2 - 9*b**2 - 26*b**2.\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = -0*u. Which is the fourth biggest value? (a) 0.12 (b) u (c) 3\/4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 21006*s**2. Let m(u) = -6283*u**2. Calculate m(v(r)).\nAnswer: -2772386542188*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 12135*o - 12186*o + 4*o**3 - 6 + 2*o**4 - o**4 + 4 as m*o**2 + h*o**3 + f + n*o + w*o**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 - 1171798*a + 1029832914603.\nAnswer: (a - 1757697)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-559)\/(-86) - 4*2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1939, -3886, -5843, -7810?\n\"Answer: -5*d**2 - 1932*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-8 - -5) - (-7 + 13)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 8. Suppose -2*q = -u*q. Let j(w) = w**2 - 13*w - 4. Let d be j(13). Is q at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*i + a - 30, -2*a - 18 = 2*i. Let c(f) = -f**2 - f + 5. Let v be c(i). Let x = 9 - v. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -11\/204*o**4 - 4\/17*o**3 - 2*o**2 + 0 + 35*o + 1\/510*o**5. Factor f(j).\nAnswer: 2*(j - 12)*(j + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 0.86 (c) 4 (d) 7.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -775118 from -331818018.\nAnswer: -331042900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - 99. Let n = m + 173. Solve i + w = -1, -2 = -n*w + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2*2\/4. Let n be (-4)\/(3\/(9\/(-6))). Let i(b) = 17*b**n - 4*b - 2*b - 15*b**2 + 4. Let t(m) = m - 1. Calculate c*i(p) + 4*t(p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d*l**3*q + 10*d*l*q + 4*d - 9*l**3 + 1 wrt q?\nAnswer: 3*d*l**3 + 10*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 61. Suppose -d = -4*c, g + 2*g - 672 = -3*c. What are the prime factors of g?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 21 + -23 + -28?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 832*z - 16 + 65*z**2 - 832*z.\nAnswer: 65*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)\/(v*(v\/(v**(-8\/7)\/v))\/v*v))\/(v\/v**6*((v**(-1\/4)*v)\/v)\/v) assuming v is positive.\nAnswer: v**(-165\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**6\/24 - 44*k**3 - 3*k**2 + 20*k. Differentiate i(s) with respect to s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from qhjqgiejeghiegehjg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 126357*i - 12499547. What is f(99)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64988276.\nAnswer: 2, 31, 524099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7358.09 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13348115500 rounded to the nearest one million?\nAnswer: -13348000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13, -5, 2691, -3, -10 in increasing order.\nAnswer: -10, -5, -3, 1, 13, 2691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4*y = -36, 12*y = 5*g + y + 57 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**2 + 49*l - 10. Let g be f(8). Let v = 457\/6 - 76. Which is the second smallest value? (a) -4\/3 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.267 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 114, 4, 5, 6\/59?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 4. Suppose 0 = -4*r + 3*w + 2, -2*r - 4 + 12 = -5*w. Let g be (r + 3\/6)*-8. Solve 0 = f*x - g*t - 20, 0*t - t - 5 = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53988 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlkd when four letters picked without replacement from {a: 2, k: 6, l: 4, d: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by -11\nAnswer: -70\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - d**3 + 5*d**3 + (-d**2 + 4*d**2 - 7*d**2)*(-6*d + 0*d + 4*d) - d**3 + d**3 + 4*d**3 + d**3 - 1 + 1 as u*d**2 + f*d**3 + p*d + h and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -5*f + 13, 37*w - 43*w - 4*f - 54 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307587 is divided by 307450.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -5 + 0*a - 1\/24*a**4 - 3\/2*a**2 + 0*a**5 - 1\/3*a**3 - 1\/120*a**6. Let n(y) be the second derivative of z(y). Give n(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 12*a = -24. Let k be ((-4)\/a)\/(10\/225*5). Solve -2*f = -k*u + 5, -5*f - 4 - 2 = -u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/6)\/((-10)\/35)*3. Calculate the smallest common multiple of 5\/(-35) + 113\/c and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 1. Let q be o(1). Suppose -5*y - g + 49 = q, -y - y - 4*g + 16 = 0. What is the lowest common multiple of y and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j + 781134 = 0. Let y = j - -1318866. Round y to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffgggffffggf. What is prob of sequence gggf?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 5*t - 14 = 0, 0 = -3*s - 2*s + t + 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103 is divided by 131.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/1165 and 16\/85.\nAnswer: 19805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/21)\/1)\/(21\/(-21))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4, -3*n + 242 = -4*c - n. Let g be ((-2)\/4)\/(6\/c). Suppose 0 = -3*p + 2 + 7. Sort -5, g, p in descending order.\nAnswer: g, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(500))\/((sqrt(16) + (sqrt(16) - 1*sqrt(16)) + sqrt(16) - sqrt(16))\/sqrt(4)).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0138 + 0.1138. Which is the third biggest value? (a) 5\/4 (b) l (c) -175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.988 from -2.\nAnswer: 9.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22515325521 + -2?\nAnswer: -22515325523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24771382 divided by 12385691.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/60 - z**4\/8 + 5*z**3\/3 + 15*z**2 + 2. Factor y(n).\nAnswer: -(n - 2)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46354876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*t**3 - t**2 + 1\/3*t**4 - 2\/3*t = 0. What is t?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19072)\/736 + 26)\/(16\/184)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -36, -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:50 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9951 + 1316. Suppose 0 = 3*v + 5*b - 11260, 3*v + 2*b = 4*b + t. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-20)\/45 - (-57)\/9. Let f(c) = 3*c**2 - 13. Suppose 1 - 7 = -2*s, -z = 3*s - 1. Let r(o) = 2*o**2 - 9. What is g*f(w) + z*r(w)?\nAnswer: -w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*u + 4*u. Suppose c - 11*c + 570 = 0. Let k = 58 - c. Solve -k = -2*n + 3*n, -n - u = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-14 + 49 + -33)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, e: 3}. Give prob of picking 2 e and 2 l.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -5*a**2 - 421*a + 212. Let s be j(-46). What is the closest to 1 in -1\/2, s, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**5\/60 - b**4\/4 + b**3\/3 + b**2 + 1. Let a(r) be the second derivative of x(r). Let p be a(-4). Solve -q + p = -6*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-72)*1)\/(11\/44).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9853 or -748897\/76?\nAnswer: -9853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 - -4 - (2214 - 2200)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21*0.1.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/3 + -23 + 18)*-12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 11*v**3 + 2*v**2 - 9*v - 9. Let g(h) = -1 + 7 - h**2 - 2 - 5*h**3 + 4*h. Let r(m) = -9*g(m) - 4*y(m). What is the third derivative of r(x) wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 253*g**2 + 31*g - 24. Let j be c(-7). Solve 33*d - 12154*d**2 + j*d**2 + 43*d - 78 = 0.\nAnswer: -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-20 - (-1 + 0)). Let c be 3\/4 - (-34)\/8. Solve c*p + b = -8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 37488?\nAnswer: 262416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2162451.\nAnswer: 3, 17, 109, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 24. Let h(d) = 7*d + 71. Let u(q) = -11*f(q) + 4*h(q). Let m be u(-10). Let y = m + 42. Solve 2 = -y*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*f + 13, -w - 4*f + 17 = 4*w. Suppose 5*l = -4*g + l - 40, l = 2*g + w. What is the nearest to -2 in g, -0.05, 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2528 divided by -1264?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-5)\/25)\/((-2)\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**6\/285 + y**5\/19 + 11*y**4\/38 + 44*y**3\/57 + 20*y**2\/19 + 2*y - 76. Solve v(p) = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.663*-7.\nAnswer: -4.641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135128?\nAnswer: 2, 7, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by (-2)\/7 - 32946\/(-357).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.03, -0.2, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - z**2 + 40. What is the lowest common multiple of -24*(-20)\/(-1040) - (-532)\/26 and f(0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89286\/11 + -1071355\/132. Let j = 10465\/254486 + -2\/3439. Calculate the common denominator of z and j.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.15, -3, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y. Let r = -266 - -270. Let v(g) be the second derivative of -g**3\/6 + 2*g. Determine r*v(h) + s(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1145 (base 8) to base 6\nAnswer: -2501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26409600 = -146*j + 178*j. Round j to the nearest 10000.\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*c + 5*l, 2*c + 0*c = 4*l - 22. Let q be (-2 + 1)\/(c\/6). Suppose 34 = 4*a - 3*v, v = -q*a - 0*a + 12. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -33*x + 727. Give p(48).\nAnswer: -857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2*10)\/5)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 6. What is the units digit of (-2)\/6 - (-125)\/x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/5 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1352068 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*r = 2*s - 126, 413 = 3*s + 5*r. Suppose -2*c - 2*h + s = 0, c - 46 = 2*h + 30. Suppose -210 = -5*v - 3*p - 25, -2*v + 2*p = -c. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2612689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - t**2 - 70*t + 2029. What is a(0)?\nAnswer: 2029","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 7577713.\nAnswer: -1\/688883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91741 and 3497.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 12) to base 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.385652 rounded to one dp?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n*x**5 - 56*n*x**3 - 312*n*x**2 - 3*n*x + x**6 wrt x?\nAnswer: -120*n*x**2 - 336*n + 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: c91 (base 13) to base 3\nAnswer: 2221111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 8*z + o - 153882 = 0, 4*o = -4*z + 123096. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, l: 2, e: 6, b: 1, f: 1}. Give prob of sequence fbl.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-120))\/((-24)\/(-40))*2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9, -33, -157, -405, -819?\n\"Answer: -7*u**3 + u**2 + 4*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3 - 12. Let c be 2 + 1\/(-3)*3. Sort -11, q, c in decreasing order.\nAnswer: q, c, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20) + sqrt(20)*-1*4)*-1*-4)\/((sqrt(24) - sqrt(96)*-1)\/((sqrt(24)\/sqrt(4) + sqrt(6))*-3)))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - (-19 - 9)) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 299.8 + -56.8. Let a = c - 240. Let k be -2 + 11\/3 - 0. What is the biggest value in a, -0.3, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2790151265?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -9. Let f = w + -33. What is the second smallest value in -1\/10, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3013944163109 minus 0.038?\nAnswer: -3013944163109.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2592 - 2424.7. What is z rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115052 divided by 8218\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24665\/3484 - -10\/2613. Find the common denominator of 44\/273 and o.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4\/3 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/10)\/(78\/(-65)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*z**4 + 24 - 5*z**4 + 34*z**4 + 9 wrt z?\nAnswer: 116*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 9) in base 11?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 46 = 4*j - 46, -2*j + 5*f + 53 = 0. Let v be 2\/(-6) - (-16)\/12. Let u be 21\/3 - (0 + v). Calculate the highest common factor of u and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-240)*(-2424)\/(-16362)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.008 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1153698*u**2 + 1153706*u**2 - 2307423*u**2.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 5*m)*(m**2 - 3*m + 3*m)*(2741*m + 538*m + 1085*m).\nAnswer: 8728*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 28543350.\nAnswer: -1\/28543350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -535 - -536.12. Let s = -4.82 + p. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -u + 2*h - 7*h, -4*u = -4*h - 28. Suppose g - 14 = -4*l - 0*g, 5*l = 3*g + 9. What is the first derivative of -4*x**4 + u + l*x**4 - 3*x**4 wrt x?\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/28 of a week?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46\/69*1*3\/4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 9 + 51 = 0. Let d = -10 + u. Suppose 4*w + 4*x = 4, 2*x - 6*x + 2 = 3*w. Solve d = w*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 7088 = -4*y, 290 - 3814 = -2*y - 3*f. Calculate the greatest common factor of 156 and y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 2*t - t. Let y(c) = c**2 + 3*c. Let r(h) = -2*h**2 - 2*h. Let w(x) = 3*r(x) + 2*y(x). What is w(j(b))?\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -3*d - g, g + 86 = 5*d + 10. Calculate the greatest common factor of 40 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133ba (base 14) to base 3\nAnswer: 2102000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**0*o))**43 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23, 14, -25, -94, -193, -322, -481?\n\"Answer: -15*l**2 + 36*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 3 + 283 + 4. Suppose -2*b + 104 - u = 0. Suppose 0 = 2*g + 33 + 149. Are g and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Let l be ((-5)\/2)\/((-1)\/p). Suppose 0 = -l*y - 0*y + 65. Solve q - 2*a + y = 4*q, 4*q + 5*a = 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12254 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -813*q**3 + q**2 - 1328*q - q**2 - 2*q**2 + 15*q wrt q?\nAnswer: -4878*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2702 and -0.5.\nAnswer: -1351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 9:35 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2 - 3. Suppose 2*s = u + 1. Let b be 22 + s + (2 - 3). Calculate the highest common factor of b and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 2 + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 1b305?\nAnswer: -1b302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 45174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 2655, 5286, 7917, 10548, 13179?\nAnswer: 15810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 379101.57 rounded to the nearest 1000?\nAnswer: 379000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*o + 7*o. Suppose -d + 7 = 3*q + d, -6 = -3*d. Suppose -q = -k + o. Solve 4*a + k*y - 10 = 22, -8 = -3*a + y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37707, -75440, -113173?\n\"Answer: -37733*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 + 35*l**3 + 129*l**2 + 157*l + 62.\nAnswer: (l + 1)**2*(l + 2)*(l + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u = -5*u + 30 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + 6 + (25 - 31)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 456871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l = -l - 135 + 75 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - 3*a + 3*a + (-2*a**3 + a**3 + 3*a**3)*(-5 + 1 + 3) + a**3 - 3*a**3 + a**3)*(-59 + 95 - 246).\nAnswer: 840*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 108.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*w**2 + 3*w**2 + 0*w**2 + (2 - 8*w - 2)*(-15*w + w + 0*w) to the form y*w**2 + m + v*w and give y.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/64 + (-238)\/(-112). Let o(u) = u - 14. Let l be o(9). Sort b, l, -4, -38 in increasing order.\nAnswer: -38, l, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 13*r**5\/5 - 28*r**4\/3 + 8*r**3\/3 - 297*r. Factor f(s).\nAnswer: 4*s*(s - 2)*(13*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -145436602077.\nAnswer: -145436602077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -47*m**2. Let z(c) = -18*c. What is z(o(n))?\nAnswer: 846*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-4))\/(95\/20 - 4). Suppose -k*r = 5*s - 18, -4*r = -13*s + 14*s - 10. Solve 4 = -r*p - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/51944220 and -89\/80910?\nAnswer: 51944220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51656 or 150?\nAnswer: 51656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l - 11. Give x(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/1890620 and -83\/6?\nAnswer: 5671860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 244416 and 68.\nAnswer: 4155072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 462.81812 + -1073.577. Let w = i + 599.76. Let u = 11 + w. What is u rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (261 - 257) + ((-188)\/(-14) - 84\/196)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -13 - (4 + 16 + -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/28*1008\/(-30))\/(8\/10).\nAnswer: 63\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 12 = 5*l, 4 + 0 = 3*l - 5*z. Let n be 5\/2 - (l + 42\/28). Solve -1 = n*d + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -28*z + 67. Let b be i(9). Let c = b + 184. What is the biggest value in 1, -3, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 411826700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1262450631 - 2?\nAnswer: -1262450633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3))**(-17\/6)\/(t**(-2))**(4\/7)*(t**0)**(3\/28)*(t\/(t*t**(-1\/4))*t)**(-1\/25) assuming t is positive.\nAnswer: t**(3757\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 485.8353ug to milligrams.\nAnswer: 0.4858353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q + 990*q = 189*q - 1026*q + 134977 for q.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -11*h**2. Let b(g) = 108*g**2 + 1. Calculate l(b(y)).\nAnswer: -128304*y**4 - 2376*y**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - 0)*10\/(-20). Suppose -5*k + z*v = 13, k - 1 = -k - 5*v. Put 4, -3, k in decreasing order.\nAnswer: 4, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.06 - -0.06. Let p = w - -1.93. Let f = p + -0.03. Which is smaller: f or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -7393\/3 in descending order.\nAnswer: 5, -5, -7393\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -929519, -929513, -929503, -929489, -929471, -929449?\nAnswer: -929423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*k - 145, -4*i = 45*k - 44*k - 10. Solve -5*b - b = k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 11*d. Let w(k) = 5*k**2 - 23*k. Let g(i) = 9*t(i) - 4*w(i). Let f be g(-3). Suppose -2*b + f*h + 496 = h, -3*b = h - 748. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-39))\/((-4)\/(-96))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oko when three letters picked without replacement from whhoook.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(539) + 3 - sqrt(539)) + sqrt(539) + 4 + -1 + (1 + 4 + sqrt(539) + sqrt(539) - -3*sqrt(539)*2))**2.\nAnswer: 1764*sqrt(11) + 43855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -0.433 (c) -4 (d) -27 (e) -1 (f) 29\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31449*p**5 - 3*p**2 - 7109*p - 1?\nAnswer: 628980*p**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b*b*b**(-3\/7)*b*b)*b)\/b))\/(b**(6\/7)\/b) assuming b is positive.\nAnswer: b**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1040 - 1040 - 3379268*d + 3379266*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = 4*j + 102 - 207, 3*j = -b + 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 17607616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -163*f**2 - 88*f + 1. Let t(h) = -3 - 2*h**2 + h + 3 - 4 + 4. Let g(q) = n(q) - 5*t(q). What is the second derivative of g(s) wrt s?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -18. Let a(q) = q**2 - q - 1. Let f(g) = 12*g**2 - 10*g - 11. Let d(o) = v*f(o) + 44*a(o). Find the second derivative of d(j) wrt j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/4389 and 167\/798.\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2410 - 5295 + 2462 + 549)*(3*j**2 + j**2 - 2*j**2).\nAnswer: -9388*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 a when three letters picked without replacement from kakkkkkknnukkk?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(39\/(-9) - -4). Solve -1 - i = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + k + 4. Is q(-2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 21 = 2*h + 6*u, 2*u = 5*h + 20. Let n = -2.2 - -13.2. Let s = -7 + n. What is the second biggest value in s, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -80.1 from -5518539.\nAnswer: -5518458.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/20 + 24\/16\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 322*v - 1279. Let w be j(4). Let m(q) = -q**3 + 12*q**2 - 29*q + 7. Give m(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -22*x + 13*x + 7*x. Let n(z) = 31*z**2. Determine s(n(f)).\nAnswer: -62*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (45\/20)\/(868\/(-176) - -5). What is the greatest common divisor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -457675 or -13272618\/29?\nAnswer: -457675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 1\/4 (c) 3 (d) -141 (e) 1\/155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 161 (b) 0.3 (c) 10 (d) -1\/1962\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**4 - 90*x**3 + 960*x**2 - 2080*x = 0.\nAnswer: -26, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-42))\/((-2)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2. Suppose -34*g = -118*g + 288 + 2316. Let j(k) be the first derivative of 0*k + 37\/2*k**2 - g. Calculate r(j(q)).\nAnswer: -2738*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*b + 164, -3*b - g - 120 = 2*g. Let h = b - -52. Suppose -5*z = t - 2*t - h, -z = -2*t + 2. Solve -5*x + x = -2*y - 24, 8 = z*y + 4*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53.7 + 53.9. Which is the closest to t? (a) -10 (b) 1\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191770 is divided by 63907.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-150)\/20*4\/(-3). Let r(l) = -l**2 + 10*l + 10. Calculate the remainder when r(f) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65706913 a multiple of 659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -61176 divided by -20392?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h - 12. Calculate z(-17).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypyw. What is prob of picking 1 p and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -12. Suppose f = -3*f + y. Suppose d + t = 2 + 14, -5*t + f = -d. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a meter?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332839, -333066, -333287, -333502, -333711, -333914, -334111?\nAnswer: -334302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2299)\/(-5225))\/((-3)\/(-75))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*f + 43*f - 10 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10*640\/96.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79316668*c - 102981989.\nAnswer: -79316668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 39692688*n + 98469342541584.\nAnswer: 4*(n - 4961586)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 841690656 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 1469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 1:36 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 67.55001 years?\nAnswer: 0.6755001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**27*p**1)\/(p**(1\/5))**36 assuming p is positive.\nAnswer: p**(104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 367*g**5 - 2*g**3 - 1113*g**5 + 3*g + 591*g**5 - 5. Let k(f) = f**5 - f**3 + 1. Let n(d) = 4*k(d) - 2*z(d). Find the second derivative of n(x) wrt x.\nAnswer: 6280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17 + 17*k**2 + 11 - 64 wrt k?\nAnswer: 34*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/6*(3 - -5). Calculate the common denominator of -55\/18 and 6*((-65)\/h - -1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2833 divided by 2833?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 - 6*p**2 + 127. Let i(w) = -4*w**3 - 5*w**2 + 126. Let j(h) = 3*i(h) - 2*o(h). Differentiate j(v) with respect to v.\nAnswer: -18*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 752984\/1057 + -1222\/151. Let n = o - 89237\/126. What is the common denominator of n and (-3018 + 3032)*(-2)\/60*(-4)\/(-2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03278151 + -3\nAnswer: -2.96721849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5017 + -4133. Calculate the lowest common multiple of a and 442.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 8 - 1 - -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.76 + 0.76. Let k = -9 - x. Is -0.1 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30.9 - -31. Sort y, 0.2, -2\/9 in increasing order.\nAnswer: -2\/9, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 - 10*j - 4. Let p(q) = 3*q**2 + 11*q + 5. Let x(v) = -5*k(v) - 4*p(v). Factor x(g).\nAnswer: 3*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 20*n. Let h be v(1). Suppose -3*o + h = 2*o. Suppose 4 = -o*a - 4. Let g(q) = -2*q**3 - 2*q**2 - q + 1. Give g(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -i + 101, 8*i = -2*y + 3*i + 63. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 - 1)*(-4*z + 6*z + 0*z)*(5*z - 5*z + 2*z).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -12*x - 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uml when three letters picked without replacement from {g: 1, m: 1, l: 1, v: 1, u: 1, k: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174 + -318. Let h be (k\/27)\/(2\/3). Let i(l) = l**2 + 7*l + 6. Calculate i(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 15*p - 8. Let n be z(3). Let q = 40 - n. Solve -3 = -q*c - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-9))\/4*(12255\/22325)\/(-43)\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, g: 2, j: 3, p: 1, k: 4, q: 1}. What is prob of sequence eeg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b = -24*b + 3, -b = -5*z - 38. Put 2\/21, 0, -2, z, 2\/7 in ascending order.\nAnswer: z, -2, 0, 2\/21, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6293703?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/30)\/(7209\/135). Which is bigger: s or 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m + 0*m - 5*m)*(3*m + 2*m - 4*m) + 15*m**2 + 26*m**2 + 21*m**2 + 0*m**2 + m**2 + m**2 in the form w*m + j*m**2 + t and give j.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 33*m**5\/20 + 7*m**4\/3 - m**2\/2 + 18*m. Find the third derivative of v(s) wrt s.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: What is the remainder when 786567 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 7512.6\nAnswer: 7517.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/4*(-112)\/70. What is the hundreds digit of (-2408)\/k + (-3)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*i - 1 = 14, 40 = 3*q - 5*i. Let j = 1666 - 1664. Solve 7*p - 4*p = -j*d + 16, -q*d + 15 = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/300, 1, 3, -5, 0.2.\nAnswer: -5, 1\/300, 0.2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78*-6.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-66) + -110 + 39\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g**3 - 24*g - 4. Suppose 15*d + 30 = 10*d. Let o(m) = m**3 + m**2 - m + 1. Let x(y) = d*o(y) + k(y). Factor x(w).\nAnswer: 2*(w - 5)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790*j - 785*j = -1651*j + 3572 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2\/22219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44, 68, 78, 68, 32?\n\"Answer: -s**3 - s**2 + 34*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**5 - 21*b**4 + 66*b**2 wrt b?\nAnswer: -240*b**2 - 504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -860 = -2*v + 2*n, 305 = v - 5*n - 117. What is the remainder when v is divided by 123\/4 + (-91)\/(-364)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-91 + 2)\/(-1 + 0). Suppose 1 + a = 5*c. Suppose -191 + c = -y. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/12)\/(1\/33). Let h = x + -16. Solve 4*n + 22 = v, 2*v = n + h + 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7376677 >= -7376676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -7, 3, -10, -4\/7, -4 in increasing order.\nAnswer: -10, -7, -4, -4\/7, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*j + 96, 26*u - 24*u - 2*j = 66. Calculate the lowest common multiple of 27 and u.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7704 + -21c7?\nAnswer: -98cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Let q(g) = 37*g + 62323. Calculate q(j(k)).\nAnswer: -37*k + 62323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71336 and 4634912?\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = -6*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 r when four letters picked without replacement from aaaaaaraaaraia?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 9*y**2 - 2*y + 4. Give f(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2238.78*-14.\nAnswer: -31342.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139 - 98. Let c be (-3)\/(-4) - (-3)\/(-4). Suppose z - g + 2 = c. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 10 = 0, -4*m - 4 = 3*o + 19. Let q(f) = 2*f**2 + 2*f. Let p(t) be the first derivative of -t**3\/3 - t**2\/2 - 189. Calculate m*q(a) - 5*p(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-3))\/(5988\/(-998)*(-2)\/(-12)*-2)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 399*q - 119*q**2 - 196*q - 203*q to the form m*q**2 + f + i*q and give m.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142*l + 3990 - 1995 - 229*l**5 - 1995 wrt l.\nAnswer: -4580*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 52 = -3*i + 5*r, -4*r + 6 = 2*i. What is the smallest value in i, -1\/3, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 10542*r**2 - 2*r - 10542.\nAnswer: 2*(r - 1)*(r + 1)*(r + 5271)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 - 202*p**2 - 9*p - 1230. Calculate x(-101).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 37*c**2 + c - 29. Let j be p(37). Is 34 a factor of (j - (-138 - 1)) + 4\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1329435*u**3 + 4370378*u wrt u?\nAnswer: -7976610*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 1032112?\nAnswer: 1032122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 3. Let q = 18.687 + -20.687. Let x = 0.2 - 0.7. Which is the second smallest value? (a) q (b) g (c) x (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664063409.\nAnswer: 24889, 26681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z - 3*z + z + 3*z + 7*z - z + (-2 + 3 + 1)*(-9*z - 7 + 7)*(-1 - 1 + 0) to the form h + y*z and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 8) in base 9?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbnbbnbbbbbbbbbbb. What is prob of picking 3 b and 1 n?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -0.07, -0.4, 1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3185826988.072858 + -531.072858. Let w = 3185826518.00000077 - l. Let p = w + -61. What is p rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 558, -1, -0.45 in decreasing order.\nAnswer: 558, 4, -0.45, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = w + 5*p, -w + 7*p - 4*p = -8. Sort w, -9, -4, 10 in increasing order.\nAnswer: -9, -4, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.18 - 0.25. Let j be 21\/(-49)*(-49)\/(-14). What is the second biggest value in j, z, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -297 divided by -99\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 11*a**2 - a - 6. Let x be s(-11). Suppose 5*j - 2*q = 7*j + 4, x*q = j - 22. Let d be (-8)\/(-2) + 7 + (-12)\/j. Solve d*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.858323 rounded to 2 dps?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -70 - (-980 - -1124)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7691, -15, 3, -3, -4 in descending order.\nAnswer: 3, -3, -4, -15, -7691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2. Let g(i) = 546*i**2 - 2*i + 6. Let o(v) = -73712*v**2 + 271*v - 813. Let s(m) = -271*g(m) - 2*o(m). What is s(j(k))?\nAnswer: -2168*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (4 + -3 - (-5 + 3 + -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 485\/4427 + -1\/233. Let q = 279 - 5299\/19. Determine s so that -2\/19*s**5 - q + 4\/19*s**3 - o*s**4 + 4\/19*s**2 - 2\/19*s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**5 + 2196*d**4 + 161784*d**3 + 465680*d**2 - 8736*d - 620928 = 0.\nAnswer: -462, -84, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8570 divide 539598862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(-6 + 6 - 4*w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 + 81 + -2 + -2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (119*3\/(-15))\/(5\/(-25)). Let o = 137 - k. Let x be (-18)\/4*3\/(81\/o). Put 3, 4, x in descending order.\nAnswer: 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.374 - 0.11\nAnswer: 0.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6aa - 13?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 23 - 2 = 0. Let v be 2 + 3\/(-6)*-28. Suppose -n*x + v = -0*x - 4*f, 5*f = -2*x - 20. Solve h = -x + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**5 - 2*h**4 - 8301*h**2 - 194497*h wrt h.\nAnswer: -20*h**3 - 24*h**2 - 16602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**6\/60 + s**5\/20 - s**4\/12 - s**3\/2 - 20*s**2. Let w(o) = o**3 - 2*o**2 + o + 2. Determine 2*a(m) + 3*w(m).\nAnswer: -m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**2\/5 - 90162*d\/5 - 1982112\/5 = 0.\nAnswer: -30032, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, -45, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1901 + -1890. What is the biggest value in f, 2, 3\/7, -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-6) + (-5)\/(-30). Let o = 7091\/17 - 417. Which is the closest to y? (a) o (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61256 is divided by 110?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 291589030?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 60\/70 + (-130544)\/(-56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 3*t - 57, 115 = -5*a - 5*t + 50 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**2 - 2*b - 2. Let d(k) = -k**2 - k - 1. Determine 2*d(n) - m(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.03 - 0.03. Let o(q) = -q**3 + 8*q**2 - 8*q + 4. Let z be o(7). Let p be 3\/(-6) - z\/(-2). What is the second smallest value in p, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539628 = -114*a + 527184. What are the prime factors of a?\nAnswer: 2, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/5)*((d\/(d**(-18)*d))\/d)\/d*(d**(3\/8)*d)**(1\/52) assuming d is positive.\nAnswer: d**(33751\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -1\/2 (c) 7775 (d) 206\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8*m**3 - 4*m**2 + 2*m - 4. Let p(o) = -9*o**3 + 4*o**2 - 2*o + 5. What is 4*h(n) + 3*p(n)?\nAnswer: 5*n**3 - 4*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -29d (base 15) to base 4\nAnswer: -21112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(500)*-1)\/(sqrt(10) + (sqrt(10) - sqrt(60)\/sqrt(6))*4).\nAnswer: -5*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 157493757922 plus -4?\nAnswer: 157493757918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 126767489?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 3*f - 6*f - 5*f.\nAnswer: f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**4\/12 - 5*b**3\/6 - 11*b. Factor m(t).\nAnswer: -t*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43058209*j**2 - 86116442*j**2 + 43058268*j**2.\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + (-6 - (2 + -5)). Let l(a) = -2*a**b + 7*a + 1 + 9*a**2 - 2. Is l(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359 (base 14) to base 8.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.85268 * 0.3\nAnswer: 0.255804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 30\/24 + 3591\/612\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 320 + 172. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-9 + (15 - (-6 + 8) - 0)) - 39\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 2*v**2 + v - 2. Let o(m) = 2*m**3 - 4*m**2 - 2*m + 5. What is -5*a(c) - 2*o(c)?\nAnswer: c**3 - 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -218\/21 - -32\/3. What is the second biggest value in i, 0.17, -0.5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -9 and 2264 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88 - -709768180.75.\nAnswer: 709768092.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 20. Calculate the remainder when 5 is divided by f(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 170 - 100. Let r = 124 + q. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/7))\/(r\/r**(1\/2))*(r**(8\/5)\/r)\/((((r\/r**0)\/r)\/r)\/r*r) assuming r is positive.\nAnswer: r**(167\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -887\/130 + 77\/13. Let a = j + 16\/15. What is the second smallest value in a, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**4\/4 + 4*i**3 + 7*i**2\/2 - 3*i - 429. Suppose -8 + 28 = -2*d. What are the prime factors of p(d)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - ((-785 - -732) + (-12 - 0)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + l**2 - 6*l + 5. Let w be x(2). Suppose 5*t - w*q = 160, -q - 7 = 3*t - 115. Suppose 7*b = 2*b - t. Put b, -0.3, -3, -4\/9 in descending order.\nAnswer: -0.3, -4\/9, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -19278*n**2. Let j(d) = -4*d. Give o(j(p)).\nAnswer: -308448*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122)\/(-732)*(-66)\/(-209)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 + -13 - (33 + -39))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*i + 2\/5*i**2 + 18\/5.\nAnswer: 2*(i + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5289*k**2 - 1327*k**2 - 1322*k**2 - 1323*k**2 - 1315*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4*o + 31 = 0, 2*d + 2142*o - 2138*o = 30 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -28*c + 21. Let t(v) = -2*v - 3. Calculate j(z) + 6*t(z).\nAnswer: -40*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 8, 5, -6, -125, -1, -3 in decreasing order.\nAnswer: 8, 5, -1, -3, -6, -12, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 + 59. Find the common denominator of 81\/14 and (u\/(-36))\/(10\/(-15)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 5 - 2)*(0 - 2 - 1) + 4 - 4 + 1)*(-3*h**2 + 2*h**2 - h**2) to m + i*h**2 + o*h and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.49695mm to centimeters.\nAnswer: 7.849695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 7 - 0. Sort 0, -2, v in ascending order.\nAnswer: -2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**4 - i**2 - 6*i. Let p(y) = 5*y**4 + 7*y**3 - 21*y**2 - 23*y - 4. Let f(o) = -p(o) + 6*z(o). Solve f(v) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -348323, -4, 2 in ascending order.\nAnswer: -348323, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -15. Factor -113 + 51 + h*z**2 + 3*z**4 - 9*z**3 + 56 + 9*z.\nAnswer: 3*(z - 2)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 294\/(-245)*(-10)\/(-18)*6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**3\/3 + a**2 - 48*a - 35. Calculate q(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2356 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2562 and 191982.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 + (-152)\/(-7). Suppose 2*k - 4 = -0. Let o be (1\/k)\/((-4)\/(-16)). What is the greatest common divisor of h and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -17*z**2 - 24*z + 56. Let q(w) = 3*w**2 + 5*w - 11. Give 11*q(a) + 2*u(a).\nAnswer: -a**2 + 7*a - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60727576, -121455154, -182182732, -242910310, -303637888, -364365466?\n\"Answer: -60727578*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -682 - -681. Which is the nearest to -18? (a) 0.3 (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + h**3)*(2*h + 2*h + 0*h) + 3*h**4 - 6*h**4 + 2*h**4.\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-160)*-175)\/(1\/(-4)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37541.\nAnswer: 7, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -125, -289, -495, -743, -1033, -1365?\n\"Answer: -21*s**2 - 101*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-15)*(5 - 2). Suppose -p = -4*f + 1, 3*f - 3*p = -f - 5. Which is the second biggest value? (a) f (b) k (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19781 - 26528 - 2*g - 40886 - 28599.\nAnswer: -2*g - 76232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-1476)\/(-41))\/72*(15\/(-5))\/(-3))\/76\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**(-15\/2)\/(s**1)**(-45) assuming s is positive.\nAnswer: s**(165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o + o**2)*(3*o - 3*o - o**3) + (-o - 8 + 8)*(14 - 22 + 12)*(5*o**4 - 2*o**4 - o**4).\nAnswer: -9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 3:06 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - 15*w - 12. Suppose 0 = 6*k - 7*k - 6. Let p be h(k). Find the first derivative of -11 + p*b**4 + 6 + 8 wrt b.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.24 - 0.4. Let s = i + -0.04. Which is the third biggest value? (a) 0.3 (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w = -20. Let d(j) = 0*j + 0*j + 3*j**2 - 2 + 3*j. Let s be d(w). Calculate the highest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3. Suppose 0 = 2*x + 6, -h + 2*x + 9 = -0*h. Let i(n) = h - 1 + 5 - 5. Let d be (8\/(-12))\/(2\/3). Calculate d*i(j) + l(j).\nAnswer: j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 12. Suppose 3*m = -3*o, -o + j*m + 12 = -2*o. Solve -3*r = -2*s - o*s - 19, -12 = -4*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, and 1 c when three letters picked without replacement from joolocjillicl?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 7*k**4\/12 - 2*k**2 + 2*k + 25. Let p be s(-4). What is the highest common factor of 48 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 16 = l, -l + 3*a = -0*l + 11. Let u(d) = 3*d + 0*d**2 + 0*d**2 + 5*d**2 - l*d**2. Is u(-7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 28*r - 3 + 6 to l*r + s and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-15)*5*-1 - 98\/6. Sort n, 85, 3 in ascending order.\nAnswer: n, 3, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.74 - -0.84. What is the second biggest value in -4, -2, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 10*i**4 + 2706*i**3 - 1094*i**2 - 2706*i + 1084 = 0.\nAnswer: -271, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-69 + 63 - (0 + -17)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 12:53 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -77702900 to the nearest one million.\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/(-85) + 4\/5. Is 0.12 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87747499.\nAnswer: 7, 12535357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4 - 48\/(-32). Suppose 3*m - 7*y + 4*y = -138, -i*m = 5*y + 178. Round m to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -42. Let n = x - -57. Let l = n + -32. Is l bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1712 and 327527.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -13228*q. Let d(c) = -2*c + 1937. What is l(d(n))?\nAnswer: 26456*n - 25622636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 12*f + 21. Calculate l(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5628, 5638, 5648, 5658?\nAnswer: 5668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 2 = -5*c, 3*u + 132 = -c + 131 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + 22*r**2 - 8*r**2 + 6*r.\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -110*q**3 + 1430*q**2 - 10*q + 11. Calculate h(13).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t**3 - 4*t**3 - 15 + t**3 + t**3 - 8 to n*t**3 + q*t + m + y*t**2 and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*i + 11540 = 0, -i - 5532 = -4*b + 3715. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (0 + sqrt(288) + sqrt(288))*5 + (0 + sqrt(288))*-6)*6)**2.\nAnswer: -10368*sqrt(2) + 166212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52062, 105214, 158366, 211518, 264670, 317822?\nAnswer: 370974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -12*m. Let k(i) be the second derivative of 1\/12*i**4 - 1\/20*i**5 + 0*i**3 - 4*i + m*i**2 + 0. Suppose k(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 70, 211, 410, 667, 982?\n\"Answer: 29*n**2 + 54*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14429, 14929, 15459, 16031, 16657, 17349, 18119?\nAnswer: 18979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/8))**11*(n\/((n\/(n\/((n**(8\/3)\/n)\/n))*n)\/n))**(-12) assuming n is positive.\nAnswer: n**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = -v, 4*v = 4*p + v - 3. Let a(i) = -i**2 + 6*i - 1. What is the remainder when a(5) is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 7*g + t - 5, 2*t + 1 = 5*g. Let l(q) = q + 1. Let x(c) = 47*c + 6. Determine g*x(j) - 6*l(j).\nAnswer: 41*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -26620011?\nAnswer: 26620012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 110*h**2 + 118*h + 1386. What are the prime factors of q(-113)?\nAnswer: 43, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66843*o**3 + 35051*o**3 + 31793*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from morogmgrrgvvv. What is prob of picking 1 r and 1 o?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5916)\/(-714) - 2\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 952487, 952483, 952477, 952469, 952459, 952447, 952433?\n\"Answer: -v**2 - v + 952489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 435481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 94169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 48. Suppose -3*i = 5 - 26. Suppose 2*f = i*f. Which is bigger: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/10 - 57\/(-5). Suppose 80 + 8 = 2*k. Calculate the greatest common factor of k and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h**2 + 98*h - 235. Let s(f) = f**2 - 4*f + 1. Let i(q) = -d(q) + 5*s(q). Determine b so that i(b) = 0.\nAnswer: -120, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 - -139) + 27 + 2 + 0?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -30. Solve 0*l = -s*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.351 - -315.351. Let b = l - 315.0398. What is b rounded to three dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16498 - 8381. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 20*d**2 + 76*d + 29. Determine l(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/7)\/x**(1\/4))\/(x*x*((x*x*x\/(x\/((x*x*x\/x**(3\/7))\/x*x))*x)\/x)\/x*x*x*(x**(1\/3)\/x*x)\/x))**(-10) assuming x is positive.\nAnswer: x**(2825\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 10*d = 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r - 2*l - 2 = 19*r, 0 = 3*r + 2*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7712 - -7714. Suppose -3*d = -7*d + 12. Let p = -1 + d. Solve j*l = 2*g + 14, 7*g + 2*l = p*g - 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2694*d - 2 - 28948*d - 90226*d.\nAnswer: -121868*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from qpqpspsspsaasasaje?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4361*s**2. Let f(o) = -56860*o. Calculate f(b(k)).\nAnswer: 247966460*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1314856 and 1540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3 + 0*u - 4*u + u**2 + 2. Let c be f(3). What are the prime factors of (-69)\/(-12) - 1\/c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 14241, -19, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -14, 2\/7 in descending order.\nAnswer: 2\/7, -2\/7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 3*q = -3*u + 891, 2*u + 1108 = 5*q. Let x = q + -68. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/6 (b) -3\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 0 - (-1 + 0 + 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -25. Suppose 3*q + 0*q - 15 = i. Solve 3*o - 10 - q = b, 4*b + 4*o - 4 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3502, 0.2, -2\/11?\nAnswer: -0.3502","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2385 is divided by (-3)\/((28\/2002*33)\/(-5 - -1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 158*s - 158*s + 0*s**2 + 14*s**2 + 1. Calculate i(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**2*v**6 + 102*p**2*v**4 - 108*p**2*v**2 - 3*v**2 wrt v?\nAnswer: -240*p**2*v**3 + 2448*p**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190 + 206. What is the remainder when 28 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-5*sqrt(156)\/sqrt(4))\/(sqrt(6)\/sqrt(50)))**2*-4.\nAnswer: -32505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c - 16. Let k be a(0). Let d be (18\/(-8))\/(3\/k). Suppose -d*x + 6*x = -180. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14711153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**3\/3 - 7*h**2\/2 - 2*h + 1. Calculate the remainder when 12*(-1 - 5\/(-2)) is divided by j(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**3 - 5*u**2 + u - 4. Let n(t) = -7*t**3 + 6*t**2 - t + 5. Let w(j) = j**3 - 13*j**2 - 82*j - 52. Let a be w(-4). What is a*n(k) + 5*o(k)?\nAnswer: 2*k**3 - k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1207*o**5 - 15*o**4 - 87514*o wrt o.\nAnswer: 24140*o**3 - 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 48. Let r = -28 + m. Solve 0*w - w = -r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24.59, -0.5, 80, 2\/19 in descending order.\nAnswer: 80, 24.59, 2\/19, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2416*b**2*r**2 + 20*b*r**2 + 11*b*r - 2*b wrt b?\nAnswer: 4832*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**5 + 2*v**4 - 12*v**3 + 2*v**2 + 4*v = 0.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 5*f + 1531 - 1551, 3*f = s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*x = -76*x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/207 and -119\/12190.\nAnswer: 109710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -12 + (-3 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.158296 meters?\nAnswer: 515.8296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1559611814091 - 14.8.\nAnswer: -14.6440388185909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30607535 a multiple of 1195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = 4*a + 12, 0 = 4*a + 16. What is the first derivative of 11 + 0 - 110*n + m + 289*n wrt n?\nAnswer: 179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2 + sqrt(405) + -2)**2 + (2 + -2*sqrt(5) - (sqrt(40)\/(sqrt(32)\/sqrt(4)) - sqrt(5)))**2).\nAnswer: -1716 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1608*d**2 - d. Let a be s(1). Let k = a + 2748. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1089 divide 252260212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 2*y - 1. What is h(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -170, -180, -200, -236, -294, -380, -500, -660?\n\"Answer: -r**3 + r**2 - 6*r - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21552? (a) -3 (b) 1 (c) -2\/23 (d) 7 (e) -4 (f) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 48220568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccc. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z - 8*z - 4*z + 5. Is 20 a factor of m(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 22*t**2 + 11*t - 12. Determine i(3).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 9:35 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and (-58)\/(-8) + (-9)\/(-12)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -15*v. Let y(d) = 145*d + 80*d + 80*d - 19*d. Determine -77*o(q) - 4*y(q).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/231 and 7\/24?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 5874 + 2*k**2 + 5878 - k**2 - 4*k**2 - k**3. Let y(j) = -2*j + 10. Let i be y(7). Give z(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39696101737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2875, -2881, -2889, -2899, -2911, -2925?\n\"Answer: -q**2 - 3*q - 2871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 1, x = 5*f + 2 - 5. Solve -3*i = 2*i + 10, -x*j - 2 = -2*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-176))\/((-12)\/32)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.34 times -0.4?\nAnswer: 1.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13601979.\nAnswer: 3, 503777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 265 = q. Suppose 3*c = 214 + q. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ace + -1?\nAnswer: 1acd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((4\/(-3))\/4)\/((-308)\/(-462)). Sort -0.023, 5\/3, c.\nAnswer: c, -0.023, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -14. Let r be 2*m + (1 - 58). Does 14 divide (-980)\/r - (-2)\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16059 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*g + 10 = 8*n, 3*n = 2*g - 10. Let m(j) = -4*j + 3. Let b(w) = 2*w - 1. Let i(q) = 5*b(q) + 3*m(q). Give i(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 6:57 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 8*q - 1. Let c be o(-7). Let u be (-3)\/(-2) - (-3)\/c. Suppose -2*r + u*j = -28, r + 0 = 4*j + 29. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2455 (base 6) in base 2?\nAnswer: -1001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48214 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*q = -71*q - 78 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g + 70. Let n = -13 - g. Let p be (0 + n)\/(3\/15). Solve -p*f + 3*c = -0*c - 1, -5*f - 2*c = 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = 38*j + 3*x, -402*x + 24 = 2*j + 402*x - 808*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1741, -1775, -1831, -1909, -2009, -2131, -2275?\n\"Answer: -11*y**2 - y - 1729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 956 - 960. Let m = -0.001 - 0.299. What is the biggest value in m, g, 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -4 + sqrt(72))**2 - sqrt(10)\/(sqrt(5)*-2).\nAnswer: -191*sqrt(2)\/2 + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 234 - 234.1. What is the biggest value in 0.7, 0, o?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3973, 4, -5 in ascending order.\nAnswer: -5, 4, 3973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2 + 4*w + 7 + 5*w - 2*w. Let u(n) = 2*n**2 + 3*n + 3. Suppose 2*d + c = 11, -7*d + 2*c + 5 = -2*d. Give d*r(j) - 7*u(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o**3 + 18*o**2 - 8*o + 8. Let f(s) = -2*s**3 + 2*s**2 + s + 1. Let z(j) = -3*f(j) + g(j). Let b be z(11). Put 4, b, 25 in descending order.\nAnswer: 25, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (10 + 6 + -21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*c + 4*n, 2*n + 9 + 7 = 3*c. Let a be 5*2\/(-55) + (-48)\/(-22). Solve -2*q = -5*l - c, 6*l - l + a = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1677440, 1677574, 1677938, 1678646, 1679812, 1681550, 1683974?\n\"Answer: 19*p**3 + p**2 - 2*p + 1677422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/(1*(-56)\/(-36)). Let n = 1303 + -1301. Which is the fourth biggest value? (a) l (b) -3 (c) n (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -42 + 48 + (-5 - (5 + -72))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 396.43 take away 1523344456?\nAnswer: -1523344059.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, r: 3, e: 4, w: 3}. What is prob of picking 4 m?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b - 8 + 8)*(3*b**3 - 5*b**3 - 2*b**3) - b**4 + b**4 - 2*b**4.\nAnswer: 22*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4038772 and 296.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256 and 89824.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2893 + 3512. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 <= 118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6570 and 134247.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 107679681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9.29 * 5667\nAnswer: 52646.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85 - -294427543.\nAnswer: 294427458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 487437.3 years in decades?\nAnswer: 48743.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a68ac + 51c?\nAnswer: 1a70cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1946143 <= 36976730\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -196, -3, 5875 in ascending order.\nAnswer: -196, -3, 5875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -280\/9*r**4 + 0 - 16\/9*r**5 - 44*r**3 - 32\/9*r - 194\/9*r**2.\nAnswer: -2*r*(r + 16)*(2*r + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -11*c**5\/5 + 6*c**2 - 7. What is the second derivative of d(k) wrt k?\nAnswer: -132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8073545 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9104\/569)\/((((-12)\/4)\/(-3))\/(1\/2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203 by -1.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11886235 and 17480.4.\nAnswer: -11868754.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 54? (a) 3\/4 (b) -28\/9 (c) -401 (d) -3 (e) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 47*v**2 - 4*v + 2. Let w = -7 + 7. Let c be 4 + w + (-2)\/2. Is j(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**2\/2 + 4*y - 2687. Let u(o) = -2*o + 1. Let x(h) = 3*h - 2. Let m(w) = 7*u(w) + 5*x(w). Determine -2*g(t) - 3*m(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 2786. Let a(f) = -1818*f**2. Determine m(a(j)).\nAnswer: 3305124*j**4 + 2786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -127*m - 241. Let d be o(-2). Let c = 28 + -15. What is the greatest common divisor of d and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1842721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3300230 (base 5) to base 7.\nAnswer: 323120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89 and 4?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 53. Suppose 0 = a*b + 3*n - 22, 1 = -2*b + 3*n - 1. Let 18 - 12*z**4 + 3*z**2 - 12*z + 4*z**b + 5*z**2 - 14 + 41*z**3 - 33*z**3 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -58.4. Round h to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -36*t - 28. Let f be d(-3). Suppose f*o - 113 = 79*o. Let m = -110 + o. Solve -2*h + m*h - 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -1046327 (c) -0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -83*h**5 + 54*h**5 + 48*h**5 + (4 - 5 + 0)*(2*h**5 + 3*h**5 - 4*h**5).\nAnswer: 18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7641212ug?\nAnswer: 0.0000000007641212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/666 and 105\/2378?\nAnswer: 791874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*y**2 - 4*y**3 + 28*y**2 + (-6*y**3 + 3*y**3 + 2*y**3)*(-2 - 1 + 0) + y**3 - y**2 + y**2 + 2*y**3 - 3 - y**3 + 7.\nAnswer: y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6*k. Suppose -3*d = -k*d - 3*y - 78, 4*y = 2*d - 50. What is the remainder when d is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 572784?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*j**3 - 36*j**2 + 16*j**2 + 23*j**3 + 20*j**2.\nAnswer: 89*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 102531, 205050, 307569, 410088, 512607, 615126?\n\"Answer: 102519*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1854 + 28620*w**2 + 925 + 929.\nAnswer: 28620*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-15)*(0 - 12). Let d = l - 13\/5. Put -2, -9, d, -2\/11 in decreasing order.\nAnswer: d, -2\/11, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2 - 12*m - 133 = 0.\nAnswer: -7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193718 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 521, -4, 1.1, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180.2103 centuries to months.\nAnswer: 216252.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*g - 4313 - 1391 = -145*g. What is the remainder when g is divided by 105?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 3320725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6526363 + 5116667919\/784. Let y = 10\/49 - z. Let l = -483789\/151792 + -3\/9487. What is the common denominator of l and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3210 (base 6) in base 16?\nAnswer: -2d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + 1122?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019691 to four decimal places.\nAnswer: 0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71128\/(-884) + 18 + 64?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/(-152) - (-153)\/(-8). Let t be (-12 - h) + 3*-1. Suppose -6 = -w - 1. Which is the third smallest value? (a) w (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 268*g**5 + 178738*g**4 + 29*g + 3132785.\nAnswer: 5360*g**3 + 2144856*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5)\/(r\/r**(-6\/11)))\/(r**(-1))**(-49) assuming r is positive.\nAnswer: r**(-2758\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -159268.8 to the nearest 100.\nAnswer: -159300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 41. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32458 is divided by 16199?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8 = -c + 2*b, 0 = -5*c - 2*b + 29. What is the highest common factor of c and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 8.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 113, -5, 342, 4 in decreasing order.\nAnswer: 342, 113, 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 41*d + 28. Let i(l) = 14*l + 9. Let a(b) = -17*i(b) + 6*u(b). Give a(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234395 and 40182?\nAnswer: 1406370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*y + 22, 26 = -5*y + 4*r + 4. Let j(f) = f**2 + 5*f. Suppose 0 = 4*b + 7 - 47. Calculate the remainder when b is divided by j(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 2:23 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -5 - -2) + (-82)\/(-18)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.036? (a) 2\/9 (b) -32562 (c) -0.5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2770 + -2710. Calculate the highest common factor of 24 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q = 5*t + 115, 28 = 22*t - 18*t - 3*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183, 1, 4, -184 in decreasing order.\nAnswer: 4, 1, -183, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 2388871965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21202, -84816, -190840, -339274, -530118?\n\"Answer: -21205*d**2 + d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6 = -3*n, 2*d + 2*d - 10 = n. Factor 5*q**2 + 0*q**3 - n*q**3 - 5*q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 10. Let q be r(9). Let i be (-3 + 3 - 5)\/q. Find the third derivative of -o**2 + i*o**2 - o**2 + 20*o**2 - 32*o**3 wrt o.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from ukkkkkukukukkkkkkkuk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18542971\/342 - -1050570\/19. Let j = 1071 - u. Calculate the common denominator of j and -65\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 688, 1374, 2060, 2746, 3432, 4118?\n\"Answer: 686*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -531 divided by 1737.\nAnswer: -59\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14055 is divided by 740?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4435247 or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, 119 in descending order.\nAnswer: 119, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 41 = -3*n, 7*h - 2*h + 5*n = 25. Let q(v) = -v**2 + v + 3. Let g be q(0). Suppose 17 = g*k - h. Solve -3*t - 5 = 3*c - k*c, -4*c + 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 4*d - 2. Let q be a(-5). Solve b - 5*b + 10 = -q*v, -4*v + 4*b - 8 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -12*d**3 + 8*d**3 + 1 + d**2 + 5*d**3 + d. Calculate m(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 9, 7\/3, 2\/11, -5 in decreasing order.\nAnswer: 9, 7\/3, 2\/11, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/50*35\/(-224))\/(3\/2)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -59 + 47 + 9.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*a - 21 - 1 - 49 - 8 - 6 to the form v*a + w and give w.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 + 69 = 16*u. Let b(d) = 6*d - 1. Let o(w) = 3*w - 1. What is u*o(a) - 4*b(a)?\nAnswer: 3*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12\/25 of a centimeter?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let d(t) = 1110179*t + 1. What is d(h(l))?\nAnswer: 1110179*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91373, 91355, 91337, 91319, 91301, 91283?\nAnswer: 91265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52.06 - -67.9. Let t = h - 16. What is t rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 19 - 25 = 0. Let o be (-2 - -2)\/(25 - z). Suppose 0 = 2*l + 2*l - 28. Solve -2*k - l + 17 = o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1723285 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -12746 (b) 29 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (15 - -4) - 31\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 1. Let h(m) = -54*m**2 - 2*m - 8. Give -h(c) + 4*v(c).\nAnswer: 62*c**2 + 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3613.62 and 0?\nAnswer: 3613.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -749144*l**2*u**3 - 6*l**2*u - l*u**2 + 42947*l*u - 94*u**3 wrt l.\nAnswer: -1498288*u**3 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/12 + (-23 - (6 - 33)). Is 12351 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-6) - 20\/(-15). Let n be 21\/(-105) + (o - (-302)\/10). Suppose 4*f + 0*f = r - n, 0 = -3*r + 3. Put -1, f, 2, 0 in increasing order.\nAnswer: f, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 95 + (4 - 3) + 8 + -9. Suppose 7*c - 2*c = 95. Let l be (0 - c\/4)*-8. What is the highest common divisor of l and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1122254697 to the nearest integer?\nAnswer: 33500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269432652.\nAnswer: 2, 23, 41, 67, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 618622910 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from vbbvbbb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - d - 3. Let n be j(3). Suppose 0 = -q - x + 5, -2*x + n = 2*x. Suppose r - 39 = -q*a, 0 = -3*a - r + 35 + 25. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-4)*(-11)\/33\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6121 is divided by 1013?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(104)*-1)\/(sqrt(392)*2*-5)*1.\nAnswer: 2*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0386773902 to five dps.\nAnswer: 0.03868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*d - 20*d + 3360. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 4 - 2)*(12 - 8 + 8)*(23*a + 21*a - 53*a) to r + w*a and give w.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 1, u: 1, t: 2}. Give prob of sequence um.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 949 * -1809.\nAnswer: -1716741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 40, 62, 96, 148, 224?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 498950 and 340?\nAnswer: 997900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -5d?\nAnswer: 5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -5 - ((-27)\/(-18))\/((-5)\/5730). What is the highest common factor of v and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16929 and 776709.\nAnswer: 162332181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-20)*(-4)\/((-24)\/15). Let y(d) = d**2 - 3. Let b(s) = -s**2 + 1. Calculate v*y(a) - 5*b(a).\nAnswer: 3*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*t - 10 = 0, 3 = 3*f + 290*t - 293*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -5*m**3\/3 - 9*m. Let r(u) be the second derivative of u**3 - 59*u. What is r(f(w))?\nAnswer: -60*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/23 equal to 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -144022151 + -24?\nAnswer: -144022205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 0.5, 0.4, 229?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = 2*r + 3*w, -2*r + w + 177 = -184. Let g = -1459\/8 + r. Find the common denominator of g and 54\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(136)*1 + sqrt(136) + 3*(sqrt(136) - sqrt(136)*2))\/(sqrt(512) + (sqrt(512) + 1*sqrt(512) - sqrt(512)) - (sqrt(64)\/sqrt(4))\/sqrt(2)).\nAnswer: 2*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 1. Let g be r(-1). Suppose g = 4*d + 2 - 6. Suppose -l = 4*a - 1 - d, 0 = -4*l - 3*a + 73. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -2*a - 9, 4*a + 27 = 49*m - 48*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**2 - c - 10. Let q be p(3). What is the greatest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**3 - x**2 - x. Let y be i(-1). Let g = y + 5. Calculate the remainder when 0 - 3\/3 - -24 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*z - 2 + 2)*(-z**2 + 1 - 1) as h*z**3 + d + n*z**2 + q*z and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 5:21 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*x = -6*d - 13, -d - x - 4 = 0. Let v = 7 + d. Suppose -25 = 3*b - v*m - 67, -b = -3*m - 21. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(-1\/41)\/(b**(-2))**49 assuming b is positive.\nAnswer: b**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t**2 + 23*t**2 - t**2)*(-3 + 2 - 1) + (0 + 0 - t)*(2*t + 0 + 0) - 3*t**2 + 7*t**2 + 9*t**2.\nAnswer: -51*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1211, 9724, 32819, 77786, 151915, 262496, 416819?\nAnswer: 622174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -7) + 2 + 236 + -284 - -7?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + o = -2*o. Suppose o = 19*b + 79 - 22. Does b = -24\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 28 + 8 = 0, -2*n + 4*r - 40 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -570 * -16\nAnswer: 9120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 260 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3 = 0, -3*a - 4*r + 59 = r. Let k = a + 10. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 927831813 to the nearest integer?\nAnswer: 30460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**5\/120 - 19*n**4\/24 - 361*n**3\/12 - 3*n**2 - 147. Factor k(b).\nAnswer: -(b + 19)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*p + 1256 = 0, 0 = p - 4. Let d be t\/6*(-84)\/(-70). Let o = -49 - d. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123378189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -232*z**3 + 481*z**3 - 9*z**2 - 211*z**3 as b*z + p + f*z**2 + j*z**3 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232131331 - 33?\nAnswer: 232131232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 8:29 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 137824, 275571, 413318?\n\"Answer: 137747*h + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78659.23 hours in minutes?\nAnswer: 4719553.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j + 66. Is 16 a factor of l(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(3\/(-15))\/(18\/(-20))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/11, -1\/3, 5\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*l**2*o**2 - 21*l**2*o - 9*l**2 - 180*l*o**2 + 4138*l - 1 wrt o.\nAnswer: 44*l**2*o - 21*l**2 - 360*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.1. Let p = r - -3. Let j = p + -2.6. What is the third smallest value in 4, j, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f**2 - f + 2*f + 0*f + f.\nAnswer: 17*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2. Let w(r) be the third derivative of r**5\/6 - 9*r**2. Calculate m(w(p)).\nAnswer: -200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -53\nAnswer: 5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 8:33 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2422.03708 to 0 dps.\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10923 or -10913?\nAnswer: -10923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -230 - -118. Let b = 112 + n. Factor -1\/3*k**5 + b + 0*k**3 + 0*k + 0*k**2 + 1\/3*k**4.\nAnswer: -k**4*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2706277 is divided by 2458.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -23*x**4 - 3*x**3 - 3*x**2 + 3*x + 7. Let j(u) = -u**3 - u**2 + u - 1. Let y(r) = -6*j(r) + 2*n(r). Differentiate y(z) wrt z.\nAnswer: -184*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79044 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 5*v + 86. Calculate the common denominator of v and -61\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 divided by 27?\nAnswer: 175\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z**2 + z + 1. Let m be (-3)\/(-8) - -11*1\/(-8). What is p(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 512*j - 1881. Calculate the remainder when p(19) is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksku when four letters picked without replacement from {k: 2, s: 4, u: 3}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2834, -4, 11, 0, -1 in descending order.\nAnswer: 11, 1, 0, -1, -4, -2834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*q**2*z + 39*q*z - z wrt q.\nAnswer: -118*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 37. Let w = -11 + k. Let y be (-50)\/(-4) + (-6)\/w. What is the greatest common divisor of y and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2)*2\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 322, -1, -218, -5, -3, 5 in descending order.\nAnswer: 322, 5, -1, -3, -5, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/34*17442\/(-88236)\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.51? (a) -0.4 (b) -104 (c) -1 (d) 6\/5 (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 + 16*m**2 + m + 10. Let s be r(-8). Let w(h) = 5*h - 6 + 5 + 10*h**s - 7*h**2. What is the remainder when w(5) is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 35.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -558, -2317, -5240, -9321, -14554?\n\"Answer: q**3 - 588*q**2 - 2*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*f - 2*r = -40*f + 514, 3*r - 529 = 2*f. Let s = f - -251. Which is the closest to -1? (a) 2 (b) 2\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, q: 11}. Give prob of picking 2 q.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 773529 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 13055986?\nAnswer: 13055987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -4*q - 4, 302*v + 10 = -4*q + 301*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91233508 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/2*14\/42?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {o: 1, u: 1, l: 3, n: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2677 - 10db?\nAnswer: -3763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.41582222 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/a**(-2))**(1\/4)*(a**(-5\/2)\/a)\/(a\/(a\/(a*a**8*a)*a)))**9 assuming a is positive.\nAnswer: a**(-405\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (-3 + 1))\/1. Let u = -15.1 - -15.3. What is the fourth smallest value in i, 5\/2, 2\/11, u?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*h + 8003 = 212*h - 38145 - 5940 for h.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 7:15 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*g = -230*g - 66. Let p(j) = 26*j**3 + j - 1. Calculate the least common multiple of g and p(1).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i. Let b(n) = -5*n**2. Determine l(b(s)).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003820519 to 5 decimal places.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 9608*z**2 - 95780*z - 239200.\nAnswer: -4*(z + 5)**2*(z + 2392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-3) + (-4)\/12 - -56. What is the greatest common factor of 240 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -4. What is the second derivative of m + 3*m + m**3 - 4*m**v + 0*m**3 wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10 = 0, 5 = 3*j - 0*a - 2*a. Suppose 3*o + 5*b = 39, 4*b - 29 = -j*o + 13. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Suppose -f + 14 = 2*v, -3*v + 13 = -f - x. Let h be ((-4)\/v)\/((-6)\/(-9)). Sort -2, h, 5.\nAnswer: -2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -779323?\nAnswer: 779322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 469280, 0, -7, -5, 1 in descending order.\nAnswer: 469280, 1, 0, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10804 - 1a?\nAnswer: -10823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 81 divided by 2\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 + -85. Let o(s) = -s**3 - 5*s**2 + 8*s + 10. Determine o(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/40 + (-158)\/10. Let n(y) = y**3 + 17*y**2 + 18*y + 23. Let c be n(x). Are c and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 13771?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -11*h - 7. Let q(b) be the first derivative of -5*b**2\/2 - 3*b + 3. Let o = -178 + 174. Calculate o*u(x) + 9*q(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1031.489 - -1032. Round r to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/7)\/((-15)\/(-5))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*s = 374*s - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 9*d**2 + 8*d + 8. Let u be o(8). Let z = u + -5. Suppose -3*c - q = q - 4, 0 = 4*q + 4. Calculate the remainder when z is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 8*k**2 - 7*k. Let d be b(-7). Let s be (-50)\/154 + (-6)\/(-33). Let w = s + -3\/28. Is d <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1420966*m. Let t(y) = 49*y. Calculate t(h(p)).\nAnswer: 69627334*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + y**2. Let a be n(-1). Suppose -7*j = -a*j - 1704. Let k = 657 - j. What is the highest common factor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*9210\/12*(-1 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675245217 to the power of 1\/4, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 724711 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 + 1.3. Let k = -4.9 + t. Suppose -2*g + 20 = 3*g. Which is the closest to -1? (a) 2\/5 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/4 + 3970409*v**3\/4 + 5254726463475*v**2\/4 + 2318180381183690699*v\/4 + 4636276687252177126 = 0.\nAnswer: -1323467, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a46 + 48d1?\nAnswer: 7537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 452?\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y**2 + 2*y + 2. Let p be d(0). Suppose 4*b + 0*b - 4 = 0. Let m be 10\/1 + -2*b. Solve z = -0*z - k - m, p*z + 12 = -k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -29 + 32 - (-70)\/(-22). What is the second smallest value in -4, 23, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -337, -1229, -3405, -7435, -13889, -23337, -36349?\nAnswer: -53495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5411, 10879, 16345, 21809, 27271, 32731?\n\"Answer: -v**2 + 5471*v - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 7*z - 6. Suppose 3*h = -2*h. Suppose h*c + 6 = -c. What is q(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)\/sqrt(32))\/((sqrt(162) - sqrt(18) - sqrt(18))\/sqrt(9) + sqrt(2)) + 2*sqrt(475) + -2 + (sqrt(475)*-2 + -4 - sqrt(475)))**2*-3.\nAnswer: -22305\/16 - 171*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooaax. What is prob of sequence ooaa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 37 = 37. Suppose n = -16*o - o + 94469. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -3\/8, -2\/17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 1)*(0 + -1). Let y be (4 - (4 + g))*-1. Is -1 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 5:55 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 + 4*h**2 - 3*h. Let g = -272 + 274. Give p(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 749.83516 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 19138*o\/3 - 248456\/3.\nAnswer: -2*(o - 9556)*(o - 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36907453 rounded to three dps?\nAnswer: -0.369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2, -44*y = -39*y - 4*g - 33 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112 + -56. Let a = c - 55.9999934. Round a to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/11))\/u**(10\/11)*u**(9\/5)*u*u**(-2\/9) assuming u is positive.\nAnswer: u**(1411\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8477 - 25430\/3. Let i(s) be the third derivative of 0*s**5 + 0*s**3 + 0*s + 1\/60*s**6 + s**2 + 0 + q*s**4. Find the second derivative of i(m) wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11196 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2951*s**5 - 2*s**3 - 16*s**2 + 3098341*s wrt s?\nAnswer: 59020*s**3 - 12*s - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 122*i + 1910. Let l(q) = 27*q + 478. Calculate -9*l(w) + 2*v(w).\nAnswer: w - 482","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/171411899 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145948?\nAnswer: 2, 11, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(1100) + 2)*-6 - ((1*sqrt(1100) - sqrt(1100)) + 4)))**2.\nAnswer: 2280*sqrt(11) + 39961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6211154 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 86, 297, 646, 1133?\n\"Answer: 69*k**2 + 4*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6652043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, v: 7}. What is prob of sequence ss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -cfa6c (base 16) to base 2\nAnswer: -11001111101001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -2 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11\/55 - 119\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*20\/(-25) - 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07679922 rounded to 3 decimal places?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -23. Suppose 7*h - h - 12 = 0. Let q(x) = 0 - h - 3*x + 4*x - n. What is q(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 35996, 38000, 40016, 42050, 44108, 46196?\n\"Answer: t**3 + 1997*t + 33998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -461*o**4 + 1127*o**2 - 53*o - 10074.\nAnswer: -5532*o**2 + 2254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 1:15 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 9:24 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 + (0 - (-3 - -3))) - (-62 - -4).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65 and 12637547?\nAnswer: 63187735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 - 3*h**3 + 2*h**3 + (0 + h + 0)*(-4 + 2*h**2 + 4) - 5*h**3 + 3*h**3 + 4*h**3 - 6*h**3 + 5*h**3 - 5*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3597208179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*m + 6*m - 4*b, -5*m - 4*b = -19. Let r be ((-49)\/(-14))\/(m\/54). Suppose -4*j + 49 = -r. What is the greatest common factor of 56 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34 or 5.786?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12891*i - 12935*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/17664*23 - 322\/(-32)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, 0.11, -3, 0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2699 - -24322\/9. Let m(b) = -b**2 - 4*b + 14. Let g be m(-6). What is the common denominator of t and (-210)\/27 + g - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n - 5 + n**2 - 2 + 5*n + 0*n**2. Let s(b) = 52*b + 720. Let o be s(-14). Calculate l(o).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 18. Let g be l(3). Let a be (-9 + 0)*(-1 - 5). Suppose 3*b - a = -0*b. What is the greatest common divisor of g and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 7*b**2 - 14*b + 77. What is u(7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -138*j - 1040. Calculate y(-7).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -629855894 from -0.08.\nAnswer: 629855893.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*x = 0. Let q = 10 + 21. Let k = q - 31.1. Which is the third smallest value? (a) k (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 51 = 177. Let j = -83 + g. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*z, 4*t + 5*z - 1381 = -0*t. What is the remainder when t is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 38 - 121 - 23 + 16*o. What is the units digit of s(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/226499251 and -119\/2628618.\nAnswer: 1358995506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/4 of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, a: 5, r: 10, u: 2}. What is prob of picking 4 r?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**5 + d**5 - 5*d**5 + (-4 - 1 + 4)*(d**2 - d**2 - 2*d**5) + (d - d - 5*d**4)*(-3*d + 2*d + 0*d).\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, -35, -55, -75?\n\"Answer: -20*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -120*n + 4*n**3 + 54 + 5*n**2 + 4*n**2 + 7*n**3 + 11*n**3 - 23*n**3. Find the first derivative of r(x) wrt x.\nAnswer: -6*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, o: 2, b: 2, y: 4, r: 2, f: 2}. Give prob of picking 2 o, 1 r, and 1 f.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8158901 to the power of 1\/2, to the nearest integer?\nAnswer: 2856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -24 - (12 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 278883*w**4 + 2*w**3 + 557788*w**4 - w**2 - 278868*w**4 as u*w**2 + g + i*w + n*w**3 + q*w**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.0458 - -128.8242. Let o = 133 - b. What is o rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*c**3 + 83*c**2 - 12225*c wrt c.\nAnswer: 138*c + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:22 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 42 - 0. Let s = z + 11. Let c(r) = -8*r + 5. List the prime factors of c(s).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + 128.47.\nAnswer: 121.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467 + 1398 - h**3 - 464 - 467.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z**3 - 4*z**3 + z**3)*(-6 - 329 - 392 + 61 - 302) to the form h*z**3 + l*z**2 + y + u*z and give h.\nAnswer: 5808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 22*t + 0 as d*t + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2212 + 212032?\nAnswer: 203220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 144284 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -437\/7, 4\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.044 * 12420\nAnswer: -546.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2559.000002423 - -2559. Round d to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from {l: 2, q: 3, j: 7, k: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s - 6*s + (2 - 4 + 3)*(3 - s - 3) - s - 1 + 1 - 2*s - s + s + 2*s - 4*s + s)*(-s**2 + 4*s**2 - s**2).\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l + 4. Let s(z) = -z + 1. Let h(d) = k(d) - 5*s(d). Let n be (-3)\/(6\/(-10)) - 0. Suppose -24 = n*q - 9. Determine h(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/11*15730\/6435)\/(2\/(-81))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 + 206*x**2 + 3285*x + 13608.\nAnswer: (x + 8)*(x + 9)*(x + 189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (309\/(-3090))\/((-37)\/45140)\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 7:23 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 5:18 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220230*v**2 + 220263*v**2 - 440510*v**2.\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, h: 2, v: 5}. What is prob of sequence hvv?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -383 - -311. Is q <= -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.141395 microseconds in hours?\nAnswer: 0.0000000086503875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 5*o - 303*o**2 + 607*o**2 - 306*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 - 2*c. Let m(k) = -4*k**3 + k**2 - 5*k. Give -5*d(p) + 2*m(p).\nAnswer: 2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/6*96\/(-10) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36265.18km in nanometers?\nAnswer: 36265180000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**3 + 6*q**2 - q + 1. Let x(g) = 5*g**3 - 7*g**2 + g - 1. Let z(w) = 4*j(w) + 3*x(w). Let m be z(2). What is the nearest to -2\/9 in 1, -4, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w - 2*w = -38 + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 r when three letters picked without replacement from {x: 3, r: 16, e: 1}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/55275 and -109\/1650?\nAnswer: 110550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -261, -425, -591, -759, -929, -1101?\nAnswer: -1275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/6 + 98\/(-84). Which is greater: d or -3\/68?\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*u - 2*t - 256, 0 = -u - 3*t + 96. Let a be (-4)\/14 + (-1100)\/70. Let d = 28 + a. What is the highest common divisor of u and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**6\/360 + a**5\/60 - 2*a**3\/9 - 47*a**2. Determine i so that b(i) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*j + 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 5*m + 8, 4*s - 57*m + 8 = -60*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -25. Let h = o - -17.7. Which is the nearest to -0.1? (a) 1\/8 (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14043589 or 14043588?\nAnswer: 14043589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 + -110. Let n be (-6)\/(-40)*(-4)\/6. Sort n, u, -1\/2 in decreasing order.\nAnswer: n, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 2) in base 14?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 10 = p, -4*p + 3*h + 27 = -0*h. Calculate the highest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**5\/30 + 2*v**3 + 51*v**2. Let n(u) = -u - 2. Let q(k) = 12*n(k) + 2*s(k). Solve q(i) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1522, -2, -3 in descending order.\nAnswer: -2, -3, -1522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.246 - -0.054. Let v = 1 - 5. Let c = 8 + v. What is the nearest to c in s, -0.5, 1\/10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68\/45 + 19\/9. Which is the nearest to 1\/3? (a) y (b) 0 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 23 = -b, 8 = -3*b + 2*l + 22. Suppose 39 = -b*o + 55. Solve 3*s + o = 5*p, -p - 4*s = -2 - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = d. What is the remainder when -6*7*(-2)\/3 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 40 = -10*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3704482 and -220.91.\nAnswer: -221.2804482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from uwwwaapaun.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 307 + 170)*(3*q**3 - q**3 + 0*q**3).\nAnswer: 898*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/10)\/((-17)\/(-8500)). Suppose -200 = -v - y, -v - 2*y + 7*y + u = 0. Suppose 0 = 7*d - 9*d + v. Is d a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 17 = 34. Let v(o) = 12*o + 1. Let l be v(3). Let i = l - y. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 138 = -76218. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 9. Let z(a) = -a**3 + 17*a**2 - 16*a + 10. Let q be z(16). What is the first derivative of -f + 4*f - q - x*f + 8*f wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 + 2*p**2 - 14*p + 8. Let c be t(4). What is the greatest common factor of 22 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/(j*j*j\/(j*j**(-36)))*j)\/j*j)**(4\/7) assuming j is positive.\nAnswer: j**(-136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 361 - 3?\nAnswer: 35c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10896959 and 93?\nAnswer: 1013417187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 32 = 28. Suppose g*v = -4*v + 48. Let y(l) = 2*l**3 - 9*l**2 + 10*l - 3. Calculate the remainder when y(v) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-56)\/(-63) - -1 - 1)*9. Let f(k) = 11*k - 92. What is f(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 546 and 13090.\nAnswer: 510510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2670 in -0.4, -4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3954 and 659?\nAnswer: 3954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1877771490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 20618*s - 20620*s + 24, 0 = -37*s + 4*t + 94 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/12816 and 20\/931029.\nAnswer: 44689392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/32)\/((-120)\/(-128)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4632647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12578716.\nAnswer: 2, 593, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 2:47 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5054687 <= -1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-805)\/575 - (-446)\/(-10).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -5\/312?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -7*i**4\/8 + i**3\/2 - 4*i**2. Let q be f(-3). What are the prime factors of 1\/(-4) - q\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 7, -3, -2.63, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 5*a, -n + 5*a = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(154))\/sqrt(11) - sqrt(56)\/(sqrt(4)*3))\/(-1*((sqrt(2) - sqrt(18)) + sqrt(2)) - -2*sqrt(2)*-4).\nAnswer: -11*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 456 and 26620.\nAnswer: 3034680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 15*n**2 + 13*n + 4. Let f be l(14). Let h(z) = z**2 + 12*z + 14. Calculate h(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1259*-2.\nAnswer: 2518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 315019862 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-5) - (37 + 2574\/(-72))\/((-5)\/4)?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(700) + -1).\nAnswer: -12 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.5, -0.03, -47.3, 16?\nAnswer: -47.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 5*o**2 - 8*o. Let y be m(6). Let x(z) = -z - 5. What is the lowest common multiple of 4 and x(y)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*a - 2040, 7*a - 396 = 6*a - 3*g. Solve a*b = 408*b + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -177, -189, -205, -225, -249?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by -4320?\nAnswer: 19\/1080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llollloollllllolollw. What is prob of picking 3 o?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -5\/6*p**3 + 0 + 2*p + 1\/2*p**2. Differentiate g(r) with respect to r.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21653 + 4889. Suppose 0 = -4*n + k + w, 4*n - 4*k = -n + 33172. Calculate the common denominator of 83\/34 and n\/(-72)*((-6)\/(-7) + -1).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -2*x**2 + 1. Let z(t) be the second derivative of -t**4\/12 - 22*t. Give w(z(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3 = -3*l, 5*l = -6*p - 588711 + 588717 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/21*-10*(-12)\/96*2?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -200*i**2 + 1537*i - 55. Calculate r(6).\nAnswer: 1967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 95*t - 1 - 95*t - 15*t**2 - 2*t**2 + t - t + (2*t - t - 3*t)*(t - 4*t + 5*t) + t**2 + 3 - 3 - t**2 + t**2 - t**2.\nAnswer: -21*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyhhcyyhyhhhhhyhyhh. Give prob of sequence yy.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 27959347.\nAnswer: 27959351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 76639, 153272, 229905, 306538?\n\"Answer: 76633*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-1) - 11\/(-11). Let n(v) = -v**2 + 1. Let k(z) = -5*z**2 + 7. Calculate o*n(r) + 2*k(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmx when three letters picked without replacement from qcmcxxcvvxnmvnccqc?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/((220\/(-112))\/((-160)\/192)*(-12)\/9)\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 - -128. What are the prime factors of y?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y**2. Let v(q) = 20369*q. What is v(t(s))?\nAnswer: 224059*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17475, 34946, 52413, 69876, 87335, 104790, 122241?\nAnswer: 139688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yys when three letters picked without replacement from {w: 2, s: 6, y: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 152 + -146. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-4)*12\/72. Sort s, -2, -0.5.\nAnswer: -2, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 269?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**5 - 688*y**4 + 27596*y**3 + 8992*y**2 - 367680*y + 331776 = 0.\nAnswer: -4, 1, 3, 64, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/6))**(-48))**(-1\/23) assuming f is positive.\nAnswer: f**(8\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8216449.92ns to weeks.\nAnswer: 0.0000000135854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128878.89 months to centuries.\nAnswer: 107.399075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 - -2) - -2 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1996518 < -1996513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -32. Let k = -9 - -7. Which is the second smallest value? (a) -4 (b) k (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12481202 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7*m + 5*m**2 + 7*m)*(-3*m - 4*m + 5*m) - 4*m**3 - m**3 + m**3)*(397 + 35 + 164).\nAnswer: -8344*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -20, 0, -2 in descending order.\nAnswer: 0, -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - 53. Let p = -72 - y. Let h = -3.92 + -0.08. Which is the nearest to p? (a) -0.3 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1. Let u(s) = -s - 20. What is 4*f(p) + u(p)?\nAnswer: -p - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1919, 3840, 5761, 7682, 9603?\n\"Answer: 1921*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/3 (b) -1\/3 (c) 141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + ((sqrt(1331) + -3)*-3)**2)*3 + -2 + 4.\nAnswer: -1749*sqrt(11) + 36182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22858975 = -102*k + 22863667 for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x = 0. Suppose x = 4*w + 4*n - 28, 0 = 4*w - 5*w + 4*n - 13. What is the first derivative of -3*h + w*h + 16 + 4*h**2 - 22 wrt h?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 231\/(-55) + 112\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.024 + -3.787. Round y to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2705, 2706, 2707, 2708, 2709?\n\"Answer: n + 2704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 95880027 = -0*l. Let h = -44142238 + 66402247. Let d = l + h. Round d to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b2b3 (base 16) to base 6.\nAnswer: 551443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, q: 2, i: 4, z: 9}. Give prob of sequence iiz.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 204 - -32. Suppose 3*r = l + 22 + 148, -l + a = 4*r. Let c = r + -12. What are the prime factors of c?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 323, 747, 1341, 2105, 3039, 4143?\nAnswer: 5417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**8\/168 + 29*g**7\/7 - 146*g**6\/5 + 878*g**5\/15 + 97*g**2 - 9*g + 2. Determine t, given that p(t) = 0.\nAnswer: -439, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 - 7*g**2 - 41*g - 4*g**2 + 4*g**2.\nAnswer: 2*g**2 - 41*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.02, 0, 2\/7, -55, -2.9?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 5. Let d(z) = 2*z - 7. Let a(t) = t**2 + 2*t + 4. Let s be a(-3). Let l be d(s). Calculate the smallest common multiple of 2 and u(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 1)**2 + (-1 + sqrt(396))**2.\nAnswer: 10*sqrt(11) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -995370*z**5 - 21*z**3 - 66154695*z**2 wrt z.\nAnswer: -59722200*z**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:56 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8483 divided by -904\nAnswer: -8483\/904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 210 = -6*x. Let d = 27 - 25. Suppose -5*g + 22 = 2*t + d*t, -5*g + 4*t + 38 = 0. Calculate the greatest common factor of x and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21 - -648f?\nAnswer: 646e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 232225413\/20 - 11595367. Let u = 15908 - m. What is the common denominator of -57\/8 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000285 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14426226.3 - 67073\nAnswer: -14493299.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) 1 (b) -0.03 (c) 2283 (d) -2\/5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 65*g - 156 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -17*o**4\/24 + o**3 - 2*o**2. Let a = 1444 + -1439. Let p(i) = -11*i + 4. What is a*y(f) - 8*p(f)?\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1)*(-20)\/(-5). Sort j, 4, 0.\nAnswer: j, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417441009 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101185177 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*a*g**3 + 637*a*g - 3*a + 9*g**5 - 2*g**2 wrt g?\nAnswer: -168*a*g + 180*g**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 0.12 (c) -2\/3 (d) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*s**2 - 330*s**2 - 87*s**2)*(406 - 406 + s + 4*s**2) to j + v*s**4 + n*s**2 + a*s + z*s**3 and give z.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32618 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3)*(0 + 3). Let y(c) = 8*c - 9. Let x(b) = 4*b - 4. Let o = -30 - -23. Let q(f) = f - 1. Let s(l) = o*q(l) + 2*x(l). Calculate k*y(t) - 18*s(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1914? (a) 0.3 (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + x**2 - 47*x - 40. Suppose -44 = -45*k + 47*k. Let o be h(k). Round o to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2164745?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l + 25 - 60. Suppose 0 = 4*j - 3*q - 2082 + 168, -l*q + 2410 = 5*j. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, v: 1, l: 3, y: 1, m: 2, b: 3}. What is prob of sequence vmc?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(567) - 3*(sqrt(567) - sqrt(567)*-1))**2 + sqrt(567) + (-1 + sqrt(7) + 0 - (sqrt(7) + -3 + sqrt(252))))*2.\nAnswer: 24*sqrt(7) + 113416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.3, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 2\/5, -0.1, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40922 (base 10) in base 13?\nAnswer: 1581b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {m: 4, d: 1, s: 2, t: 3, c: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -242*g**2*o**3*z + g**2*z - 4*g*z - 4*g - o**3 wrt g.\nAnswer: -484*o**3*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*((i*i*i\/(i**(-8)\/i))\/i*i)\/i)\/(i**6*i*i*i))\/(i**12*i\/(i**1*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 3250 is divided by 982?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**2*q + 2900*m**2*r**3 - 2*m*q*r**3 + m*q + m + 249*q*r**2 - 2*r**3 wrt m?\nAnswer: 4*q + 5800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 317379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82726061?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**7\/1260 + b**5\/60 - b**4\/6 - 5*b**2. Let k(a) be the second derivative of l(a). Factor k(c).\nAnswer: -2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -448, 3 in descending order.\nAnswer: 3, -1, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 0, 5*z = k + 2*k - 21. Suppose -3 = -4*o - 2*d + k, 3*o + 3*d = 15. Solve a - 1 - 3 = o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(2\/3))\/(n**(-2\/23)\/n*n)*(n**(1\/3)\/n)\/n**(-13) assuming n is positive.\nAnswer: n**(949\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/11 or -5.8604?\nAnswer: -5.8604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-9 - 12) - (4 - 9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.04 + 5.34. Let q = 22 - 21.86. Let z = q - 0.24. Sort -2, u, -0.07, z.\nAnswer: -2, z, -0.07, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from {r: 3, s: 3, a: 2, b: 2, y: 4, n: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (433543\/143520 - (-14)\/(-91)) + 1. Let v = t + -1\/3680. Find the common denominator of v and 7\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -182599613 and 196?\nAnswer: 182599809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6667715us to milliseconds.\nAnswer: 0.0006667715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394163.\nAnswer: 7, 11, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.6 times 0.34?\nAnswer: -3.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -603.54 + 609. Round d to 1 decimal place.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 + 11*j - 1. Suppose 1 = -5*l - 2*d + 22, -3*l + 11 = 2*d. Let r be f(l). What is the units digit of (-7)\/r + (-880)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5, -5*y + 8*d = 12*d - 75. Sort -67, 1, y in decreasing order.\nAnswer: y, 1, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147 + -146.36. Let c = -1.158 + 1.358. Is c at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*m**2*z**2 - 17*m**2*z - 2011*m**2 - 3484322*m*z**2 wrt m.\nAnswer: 24*z**2 - 34*z - 4022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108954 = -4*m - z, 4*z + 38088 = 2*m - 16398. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*y + 93150 = -3*y. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 411017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 251, 246, 237, 224, 207?\n\"Answer: -2*n**2 + n + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 7*t**2 - 4*t + 5. Calculate n(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**3 - 13*q**2 - 13. Suppose 7*h - 2*h = 10. Let l(m) = -6*m**h - 3 - 2 - 1 + 2*m**3 + 0*m**2. Let f be 6*(3\/3 + 0). Calculate f*k(z) - 13*l(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-3) + 4\/12. What is the units digit of ((-6)\/9)\/(f\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - -6.507276992?\nAnswer: 44.507276992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 116*v - 7082. Determine f(-45).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*c + 3*g, -3*c + 0*g + g + 49 = 0. Calculate the highest common factor of c and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -3*i**5 - 5*i**2 - 3. What is the second derivative of s(n) wrt n?\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 110071825 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:24 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnaywywcwwwcnnnn. What is prob of sequence wcay?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3.9. Let p be (-2 - -5) + 36 + -37. Sort p, 3\/5, h, 0 in decreasing order.\nAnswer: p, 3\/5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 1673121*a - 1673124.\nAnswer: 3*(a - 1)*(a + 557708)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q - 54 = -40*q. Which is the nearest to 1\/3? (a) 3 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 482*r - 4. Let u be g(2). Calculate the remainder when 89 is divided by u\/54 - 2\/(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -192217.7333 to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -76*y - 7. Let o be 240\/56 + -7 - (-2)\/(-7). Let k be u(o). What is the highest common divisor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f**2 + 16*f - 175. Calculate the remainder when i(8) is divided by 384.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*h - 7712 + 95872 = -729*h - 563*h for h.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*s**2 + 3*s**3 + 29*s**2 + 151*s**2 - 178*s**2 + 27*s**2 + 13*s**2.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 74 (c) 2\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 159553501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + 18. Let s = q - 37. Let c = -1 - s. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Let y(z) = -z**3 + 2*z**2 + 3*z - 9. Let g be y(0). List the prime factors of 15 + g\/l + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -536821, -536818, -536815?\nAnswer: -536812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m. Let j(l) = l**2 + 18*l - 42. Let n be j(-20). Let g be -50*(-2)\/n*(-4)\/5. Let c(w) = w + g - 40. Give c(k(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 996 and 1963?\nAnswer: 1955148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g + 3. Let q(j) = -14*j**2 - 21*j + 7. Let z be q(-2). Give v(z).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1 - 9 = -2*u, 0 = -z - 2. Let g be (-1)\/u + (-19 - -39). Let v = 87 - -65. Calculate the highest common divisor of v and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63851397?\nAnswer: 3, 577, 36887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlwwjwljjwllwwwwww. Give prob of sequence ll.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-1 - 55)\/(-2). Suppose 21 = r - d. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2113530 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -297 + 465. Let h = v - 116. What is the remainder when 203 is divided by h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (10 - (-14 + -12))) + 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 263*f - 46827. Calculate m(178).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 12. Let d be n(-10). Suppose 4*r - 3*r + d*j = -4, -3*j - 12 = 0. What is the second derivative of g**r - 5*g - 5*g + 2*g - 5*g**4 wrt g?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/2)\/((-4)\/216). Let f = n + -16. Calculate the greatest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (66\/(-12))\/(3\/(-498)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*h + 67*h + 5*c - 10 = 0, -3*h + 3*c = 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 2:35 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, -1\/5, 2\/3, -2, -21?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5381 and 9.\nAnswer: -5372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*l + 98 = 0, 3*l - 2*l + 26 = z. Let n = z + -35. Let k = 9 + n. Are k and -4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**5\/20 + 3*m**4\/8 + m**3 - 7*m**2 + 15*m. Let l(h) be the first derivative of v(h). Find i, given that l(i) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286880 and 283360.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5 - 1 - 5*h**2 - 10*h + 0*h + 1. Let w(r) = 5*r**2 + 8*r - 4. Let s(t) = -4*k(t) - 5*w(t). Let y(p) = 20*p. Determine s(y(z)).\nAnswer: -2000*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13812*k + 3*n + 36 = 13807*k, -2*k + 2*n - 8 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 212*p + 13790. Determine d(-65).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 31*m**2 - 30*m + 4. Let r be z(-30). Suppose -w + 5 - 7 = 0, -r*w = f + 3. What is the greatest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -499 - -545. Calculate the remainder when m is divided by 10 + -4*2\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5641 + -5641.3. Let n = -0.1 + 0.6. Which is the closest to 2\/5? (a) z (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + x. Let w(j) = -3*j**2 - 2*j. Let k(z) = 4*v(z) + 2*w(z). Let f(a) = -29*a**2. Give k(f(m)).\nAnswer: -1682*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j + 0*j)*(184*j + 230*j - 64*j + 0*j + 3*j - j + (2 - 2 + 1)*(2*j + 1 - 1) + 0*j - j + 0*j).\nAnswer: -706*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q + 4. Let k be o(0). Suppose -3*u + 2*v = -u - 44, 2*v = 5*u - 107. Solve -3*s = k*s - u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + (-1 - (0 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 116?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j. Let h = 2 + 1. Let t(b) = -6*b**3 - 1 + 7*b**h - 3*b - 2*b**2 + 0. Let m be t(3). Determine z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598*c = -591*c + 189 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2 - 0) + -15 - (2 - 8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110*k**3*z**3 - 84*k**3 + 2*k*z**3 - 2*z**2 wrt z?\nAnswer: 660*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.038 - -1.962. Which is the nearest to 2? (a) h (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/21 - 4\/21. Which is the second biggest value? (a) r (b) -5 (c) 4 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2757 - 1788. Is 51 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 5*j. Suppose -6 = -5*m + 2*m + 2*b, -5*m + 2*b + 10 = 0. Suppose -y = 0, m*i - 2*y + 27 = 3*i. Let d = 33 - i. Determine u(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 6*n**2 - 4*n. Suppose d - 3 = 1. Suppose -d*b + 2*t + 0 + 2 = 0, 5*b - 3*t = 3. Suppose b = -3*w - 0*w - 15. What is y(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 95 = -0*l - i, -2*i = l + 35. Let v = -23 - l. Suppose -2*w - 46 = -5*d, -2*d - 2*w + 18 = d. Calculate the remainder when v is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697998 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*s + 19, 15 = -19*b + 24*b - s. Suppose -2*i + b*t + 104 = 0, -271 - 45 = -5*i - 4*t. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-12)\/48)\/(6\/2)*17\/782?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + k - 19 + 4 = 0, 0 = 3*f - 3*k + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 670 + -667. What is the fourth smallest value in j, -1\/4, -0.2, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1097 greater than -1097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 7*y - 4. Suppose 14*v + 166 = 13*v. Let s = -134 - v. Calculate the remainder when k(7) is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**4\/6 + 7*f**3\/2 + 8*f**2. Let n be p(5). Which is greater: 2\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/(-420)*119\/(-34)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 - 373 = -2*k. Let s = -429 + k. Let f = -8 - s. Calculate the highest common divisor of 48 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 220, 523, 826?\n\"Answer: 303*i - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*m = -2, 4*g + 7*m + 0 + 3 = -3*m - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -663\/2 + 156. Which is bigger: -177 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4284340 to the nearest integer?\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**4 + 8812*b**3 + 4768244*b**2 - 94181692*b - 207365928 = 0.\nAnswer: -1111, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29617788*m + 38381117 wrt m.\nAnswer: 29617788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 373545297 to the power of 1\/2, to the nearest integer?\nAnswer: 19327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 3*s + 0*s - 9*s**2 - 3*s.\nAnswer: -9*s**2 - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (5*(0 + sqrt(304)))**2) + 3 - ((-3 + sqrt(304) + (sqrt(304) + -1)**2 - sqrt(304)) + -4).\nAnswer: -7895 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-70288)\/547860 - (2 + 32\/(-15)). Sort -1\/6, -6\/7, s in descending order.\nAnswer: s, -1\/6, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -23. Suppose -17765*m - 702 = -17711*m. Which is greater: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314 = 2*a + 5*d, -3*a - 2*d + 572 = 123. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -4.8. Let v = c - 1.2. What is the biggest value in 1\/2, 6, v?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22311 (base 5) to base 10\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/2)*w)\/w**(-2\/31))**15 assuming w is positive.\nAnswer: w**(-405\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -526.\nAnswer: -526.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -30*g**2 + 7699*g + 2813. What is y(257)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45480020 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aki when three letters picked without replacement from {k: 3, i: 5, a: 1}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 2*m + 27. Let a be q(0). Is (-6)\/a - (-222)\/27 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 276*s**2 - 2116\/3*s**3 - 36*s + 32. Factor g(j).\nAnswer: -4*(23*j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*n + 1 + 4 = 0, 4*p = -3*n + 11. Let u(t) = t - 3. Let k(j) = 2*j - 7. Let s(i) = p*k(i) - 5*u(i). List the prime factors of s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {v: 4, u: 3, f: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 37*w - 6 = 0. Let i(h) = -4*h + 3*h**3 - 4*h**3 + 4*h + 2*h - 3*h**2. Let q(v) = -2*v**3 - 4*v**2 + v. Determine w*q(l) + 4*i(l).\nAnswer: 2*l**3 + 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 9*o - 7. Let i(s) = s**2. Let h(t) = -g(t) - 3*i(t). Let a be h(5). Suppose 2*d = 3 + a. Calculate the remainder when 27 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 d when three letters picked without replacement from {p: 3, d: 8, c: 2, v: 7}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3100)\/(-520) + (-3)\/(-78). Let t(o) = 2*o**2 + o + 8. Let l(f) be the second derivative of f**4\/6 + f**3\/6 + 7*f**2\/2 - f. Give v*l(j) - 5*t(j).\nAnswer: 2*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 61 - 5\/2*x**2 - 2*x. Let m = -3 + -3. What is o(m)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321983a (base 11) to base 2.\nAnswer: -10101100110111010100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/14)\/(-7 + -37 + 52)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8141.4 - 0.418?\nAnswer: -8141.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -15. Let d(n) = -n**3 + 6*n**2 - 2*n + 7. Let v(a) = 5*a**3 - 25*a**2 + 10*a - 29. Let i(p) = -9*d(p) - 2*v(p). Calculate i(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53323.63 centuries in months?\nAnswer: 63988356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.151 - 5.111. Let n = -71.6681 - -67.628. Let g = n - o. Round g to three dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**3*q*q\/(q*q*q**19*q*q)*q\/(q\/(q*q\/((q\/(q\/(q*(q**(1\/27)\/q)\/q*q)))\/q)))*q*q\/((q**(-2\/41)*q)\/q) assuming q is positive.\nAnswer: q**(-14378\/1107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1702 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.35 (b) 8\/291 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 38 = -4*p - w, -17 = 3*p - 2*w. Let l(j) = j**2 + 6*j - 5. Let b be l(p). What is the units digit of ((-4)\/(-1) - b) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w - 68. Suppose -5*z + 18 + w = 0. Calculate the smallest common multiple of 4 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9656*a + 9656*a - 3*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + g**2 + 7*g - 6. Let b(o) = 2*o**3 - 6*o**2 - 18*o + 2. Let r(s) = -s**2 - 2*s - 1. Let l(f) = -b(f) + 5*r(f). Calculate 6*l(v) - 7*q(v).\nAnswer: 2*v**3 - v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4253037 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -126, -172, -206, -228, -238?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -22*p - 2 + 15*p + 10*p + p**2. Let j be (2 + 1)\/(-3) - 3. What is the smallest common multiple of 8 and t(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 14218*y - 14219*y + 5, 0*h = -4*h + 3*y + 34 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f + 24. Let k(i) = -13*i - 20. Let s be k(-2). Let w be d(s). Solve -r + 1 = 6, w = -n - 2*r - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(272) + 1 + 1) - -6*(sqrt(272) - 1*sqrt(272)*-2))**2.\nAnswer: -1152*sqrt(17) + 39312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) 0.2 (c) 0 (d) 3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -19\/4, -4.82, 3, -2?\nAnswer: -4.82","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -1\/9, 0.04, -0.1, -116, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25080719?\nAnswer: 25080719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -73, -81, -89, -97, -105, -113?\n\"Answer: -8*h - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10*20\/(-8)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 3:23 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v - 20 = 0. Suppose g + g = 6, v*g - 20 = 5*u. Let b be (1\/6)\/(2\/(-3)). Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17051 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 u = 19.735 + -19.635. Which is the fourth smallest value? (a) 4.5 (b) u (c) -0.5 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 10*l - 15*l + 19, -6*l = 2*p - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 38976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2283*p + p**2 - 19*p**3 + 26 + 2275*p + 17*p**3 as n*p + f + d*p**2 + j*p**3 and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7150 divide 633879023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - ((sqrt(152) - -5*sqrt(152)*-2) + sqrt(152) - sqrt(152)))\/(sqrt(64)\/sqrt(2))*6.\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 j when three letters picked without replacement from ozzbobjoozoooooo?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000699822 to 6 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-12) + 4*(-6)\/96?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.006 in -3, 0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50735658*u**3 - 1414*u**2 + 3988*u wrt u?\nAnswer: 304413948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142700284213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58958426*j**4 - 3*j**2 - 13*j - 1569 wrt j?\nAnswer: -1415002224*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(24)\/sqrt(4)))\/(1*sqrt(16) + sqrt(16)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -113020111?\nAnswer: 113020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23, -1\/1002, -0.3, -3.6?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 71 - 23 = -3*z, -5*c + 80 = -4*z. Suppose 3*l - d - 3*d - c = 0, 3*l + d - 11 = 0. Solve -3*o - 3*q = -o, -l*q = o - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/222*4\/(-7)*(-3381)\/322.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2698620 is divided by 383.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5 + 3 = 0. Suppose l*n + 5 = -t, 0 = 3*t + 3*n - 0*n. Factor -3*p + 2*p**5 - p**t + 4*p - 2*p**3.\nAnswer: p*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1086 and 126.\nAnswer: 22806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 372286611?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 7 - 23 = 0. Let h(j) = 10*j**3 + 1. Let z be h(1). Let i = z - r. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -159, -572, -1309, -2412, -3923, -5884, -8337?\n\"Answer: -7*w**3 - 120*w**2 - 4*w - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238, 474, 710, 946, 1182, 1418?\nAnswer: 1654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g**3 - 6\/11*g**4 - 2\/11*g**5 + 8\/11*g**2 + 0 + 0*g.\nAnswer: -2*g**2*(g - 1)*(g + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270046 is divided by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q - 4*q)*(4*q**3 - 2*q**3 + 0*q**3) - q**4 + 3*q**4 - 2*q - 4*q**4.\nAnswer: -10*q**4 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8\/26991 + 1213027\/5290236. Let g = 1\/49 + m. Solve -g*c**2 + 1\/2*c + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - -33 - 53 - 74?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 3)\/(5 + -6). Suppose -p*f - 1119 = -4*o, -3*o - 355 = -4*f - 1189. What are the prime factors of o?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 6*t + 10. Let c = -5 + -2. Calculate w(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -11*r. Let l(o) be the first derivative of o**5\/30 + o**2 - 5. Let f(a) be the second derivative of l(a). Give f(j(s)).\nAnswer: 242*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 4*z + 0*z)*(-5*z**3 - 3 + 4*z**3 + 2).\nAnswer: -z**4 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 4*c**3 - c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 20, 0 in ascending order.\nAnswer: -5, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006587465 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64483\/20 + -16882\/5. Let v = j - -135. Calculate the common denominator of -69\/10 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 273649656?\nAnswer: 1368248280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2131202 (base 4) to base 3\nAnswer: 111211102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 779 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*b**3 - 1451530*b**2 + 580618*b - 58062.\nAnswer: -2*(b + 29031)*(5*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*t - 17, -11*t - 4*z + 6*z + 22 + 7 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/13 + 63\/52. Let x = 3.1 + -3.19. Let z = 0.59 + x. Which is the closest to -2\/7? (a) 0.1 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d + 35. Let v(w) = 6*w - 136. Let a(k) = 3*v(k) + 11*y(k). Let r(f) = 2*f + 11. What is 4*a(c) + 9*r(c)?\nAnswer: 2*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139 + 32. Let z = f + 256. List the prime factors of z.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*(sqrt(1008) + -3*sqrt(1008))**2 - sqrt(1008)) + -3)*-6.\nAnswer: -24144 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v = -20. Suppose 0 = 7*t - v*t + 90. Let z = 37 + t. What is the nearest to 2\/5 in z, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7595 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 467316668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -27 + (-6 - (13 - 15))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*b + 96 = -b, -4*g + 329 = b. Let q = g + -55. What is the remainder when q is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000111010111011110001 + 100010?\nAnswer: 110000111010111100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -621 + 623. What is the third smallest value in -4, -1, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2422.\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(110)*1 + sqrt(110))\/(sqrt(10) + (2*sqrt(110))\/sqrt(11)).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4378 + 2776. What are the prime factors of y?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -144, 0, 3, 4, -0.1, -1\/12 in descending order.\nAnswer: 4, 3, 0, -1\/12, -0.1, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -205, 1, -1, 1\/4, -4, -0.1 in descending order.\nAnswer: 1, 1\/4, -0.1, -1, -4, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 5:10 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0 (c) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4) - 0)*4. Let y be 406\/(-70) + (-4)\/(-5). Let w be (12\/15)\/((-2)\/y). Solve 0 = 2*z - v*t - 12, t + 0 + w = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181436 is divided by 45171.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d**2 + 2*d + 3. Determine l(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651044*m = -650978*m - 2574 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2294548493 to the nearest integer?\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, n: 3, z: 5, m: 5, r: 2}. Give prob of picking 2 r and 2 n.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 (base 14) in base 6?\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4800882 to the power of 1\/2, to the nearest integer?\nAnswer: 2191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 + 2 = 0. Let x = 6 - 11. Let s = 4 + x. What is the smallest value in f, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -153*u**4\/4 + 39*u**2\/2 - 543. Let f(h) = 8*h**3 - 2*h. Give 117*f(y) + 6*g(y).\nAnswer: 18*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541*u**2 - 2170*u**2 - 6 + 541*u**2 + 57 + 546*u**2 + 543*u**2.\nAnswer: u**2 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13\/2*b + 0 + 3\/4*b**4 + 37\/2*b**3 - 103\/4*b**2 = 0. What is b?\nAnswer: -26, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2 - 1210*r - 130800 = 0.\nAnswer: -1090, -120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r**4 + 2748*r**3 - 212904*r**2 + 331280*r + 166752 = 0.\nAnswer: -193, -2\/5, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -160946.47 to the nearest ten.\nAnswer: -160950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -235 + 343. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47717 to the nearest 1000.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**4\/12 - v**2\/2 - 2*v. Let f(k) = -2*k**3 + 5*k**2 + 5. Calculate -f(m) - 6*q(m).\nAnswer: 2*m**3 + m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**8\/112 - 31*k**7\/70 + 51*k**6\/20 + 83*k**5\/10 - 103*k**4\/8 - 135*k**3\/2 + 106*k**2 - 3. Let w(a) = 0. What is a?\nAnswer: -1, 1, 5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1105019 - -10.3\nAnswer: -1105008.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsxubzsutuss. What is prob of sequence ubu?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288675141 is divided by 7166.\nAnswer: 7163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 132, 381, 1040, 2313, 4404, 7517?\n\"Answer: 34*i**3 + i**2 + 8*i + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*i*s + 123*b**3*i + b**3*p + 6*b**2 - 2*b*i*p*s - 7*b*i*p - b*s wrt b?\nAnswer: -6*i*s + 738*i + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 184056164\/7 and 26293737 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 35, 59, 103, 173, 275, 415?\n\"Answer: g**3 + g**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -15928, 9, 5, 1 in decreasing order.\nAnswer: 9, 5, 1, -15928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41.6 - 40.1. Which is the closest to 0.02? (a) 1\/6 (b) -1\/7 (c) w (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -4*k**7\/7 - 16*k**3\/3 + 41. Find the third derivative of q(w) wrt w.\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide ((-320)\/(-96))\/((-921)\/(-918) - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 6:55 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 927 + -926.995745. What is o rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*p - 20, 22 = 5*p - s - 7. Is -3 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/103 (b) 3\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1)*y*y*y)\/(y**(-7)*y)*(y\/((y*y**(-2\/3))\/y))**(-1) assuming y is positive.\nAnswer: y**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9606221ml in litres?\nAnswer: 0.0009606221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 347?\nAnswer: 3817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - 6\/(1\/(-1))) + (40282 - -14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 i when four letters picked without replacement from {p: 5, i: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/264 and 94\/105.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 332080, 664150, 996232, 1328332, 1660456, 1992610, 2324800?\n\"Answer: a**3 + 332063*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from ttittzztzdztdtdz.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9089 - -1?\nAnswer: 908a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h + 3*p + 6 = 0, 0*h - 2*p + 28 - 32 = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by -5\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.44 + 0.56. What is the closest to 0.07 in -1\/4, -1, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 309.96757 - 0.06757. Round f to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.94 - -3. Let t = a + -0.06. Let g be (-4)\/((-140)\/(-15))*-7. What is the biggest value in g, -5, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1630 - 500?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 73734?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 44\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*n = 13, n = -4*c - 2*n + 16. Let y be c\/(-3) - 60\/9. Let s = 11 + y. Solve -s*f - 4*m = -f + 2, -4*m = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97373 - 426*a**3 - 97373)*(4*a - 5*a + 9*a)*(0*a - a - a).\nAnswer: 6816*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y**2. Let j(w) be the second derivative of 27*w**4\/4 + w - 6. Give j(z(x)).\nAnswer: 2916*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f*f*(f*f\/(f\/(f**(-4\/7)\/f*f))*f)\/f)\/f*f)**34\/((f\/f**(-6\/17))\/f*f*f**(-4)) assuming f is positive.\nAnswer: f**(18233\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -4*l - 12. Suppose y - l*w - 21 = -0, 5*y + w - 84 = 0. Let u = y - -7. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.3455 rounded to 0 decimal places?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v - 217 = -15*v + w, -v = -2*w - 212. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -16. Let l = 9 + u. Solve 0 = -5*t + l + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 - -90. What is the highest common factor of w and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -637 - -636.8. What is the nearest to f in 3, -0.068, 1?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53564 = -112*z + 84*z. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61076 by -240.\nAnswer: -15269\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 9*b - 5. Give j(-5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 102*a + 160*a + 4 = 62*a, -9*k + 0*a + 1 = a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -16, s + 5*z - 1 = 13. Let d be (20\/(-6))\/(s\/63). Suppose 4*w - 21 = d. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(1584)*-2 + sqrt(1584) - sqrt(1584) - sqrt(11))) + sqrt(44)*-2)**2.\nAnswer: 5324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = m + 3*m. Let v be -10*-3*(-4)\/(-20). Let p = 6 - v. What is the second smallest value in 0.4, p, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 1\/1)*8. Let i = 140 + -132. Let w be (-18)\/l - 10\/i. Which is bigger: w or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 162859683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45655 - 2320?\nAnswer: -48075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.235393 to 3 dps.\nAnswer: -2.235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 397\/360 + 1\/45. Find the common denominator of n and (-3)\/(-144)*-3*14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**4 + 94*o**2 - 412*o + 700189308 wrt o.\nAnswer: -8*o**3 + 188*o - 412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 192 - 1\/2*o**4 - 2\/3*o**3 + 0*o**2 + 87*o. What is the third derivative of n(v) wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16128034, 64512118, 145152256, 258048448, 403200694, 580608994, 790273348?\nAnswer: 1032193756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2. Let f(t) = 39*t**2 - 2*t - 43*t**2 + 2*t. What is b(f(d))?\nAnswer: -48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 35 + 2205 = 0. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/300 - 91*g**4\/60 + 3*g**2 - 257. Solve a(u) = 0.\nAnswer: 0, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7520 and 320.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -7. Let q(d) = -3*d**2 - 26*d + 3. Let i be q(-9). Let h = j - i. What is the highest common factor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - b - 34 = 3*b, 5*r - 50 = 3*b. Suppose 0 = 2*c - r*c + 25. Suppose 2*m + 5*p - 18 = 0, 1 = 2*m - p - c. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -310\/169 = -2\/247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 175, 141, 85, 7, -93?\n\"Answer: -11*o**2 - o + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 155*x**2 + 2*x. Let w(r) = -r. Determine s(w(a)).\nAnswer: 155*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1368*w - 1367*w - 17 = 0. Let z(g) = 19*g + 6. Let l(u) = -57*u - 17. What is w*z(b) + 6*l(b)?\nAnswer: -19*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3995*r - 232448 = -5982*r - 5277*r for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 7*r - 8, 0 = 2*v + r - 1158. Let p = v + -268. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*3*sqrt(1900) + (((-2*sqrt(1900) - sqrt(1900)) + sqrt(1900))*2)**2)*-5 + 4.\nAnswer: -2250*sqrt(19) + 456004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9 + 3 = 0. Suppose 0 = -0*y + b*y - 9. Let p be (-4)\/y + (-7)\/(-3). Let r(i) = -6*i. Calculate r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4181341.\nAnswer: 151, 27691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -3. Suppose 0 = a - f*a + 25. Suppose -h + a*h = 24. Solve -q - 4 = s - 0*q, -3*s + h = -3*q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 = -3*m, -m + 0*s = 3*s + 9. Solve -j = -2*w + 1, 3*w = -m*j + 5*j + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 48. Suppose 0 = -18*u - 21*u. Give h(u).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97680698 to the nearest integer?\nAnswer: 9883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/5)\/o**(-10))\/((o**3\/o)\/(o\/(o*((o*o**(-1\/6))\/o)\/o))))**(8\/3))**(-2\/35) assuming o is positive.\nAnswer: o**(-2104\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 389 - 386. Solve 0 = k*t + 3 - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7310 + -5752. Does 41 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.312 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49242 or 48937?\nAnswer: 49242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*s + 3. Suppose s*a - 2*a - 12 = 0. Suppose 4*p = a + 76. What is the lowest common multiple of p and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 308 - 304. Suppose 0 = -l + 5*c + 443 + 184, -v*l = -3*c - 2457. List the prime factors of l.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -0.047.\nAnswer: 0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1*((-33)\/(-12))\/(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 - 13. What is the second smallest value in 0, y, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 5:16 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8)*136\/(-357)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 6*j**2 - 6*j - 5. Suppose 3*c = -3*r - 1 - 17, -4*c = -3*r + 17. Calculate o(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.49 - -0.4. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2335095 divided by -135\nAnswer: 17297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80\/3*p**2 + 40\/3*p**3 + 0 + 0*p - 5\/3*p**4.\nAnswer: -5*p**2*(p - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**2 - 6*c**2 + 5*c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = -3*j + 8*j. Is j a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j - 30*j = -20*j + 517 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 6*b - 2. Suppose -5*m + b*u - 35 = 0, -3*m + 2*u = m + 26. What are the prime factors of 6\/m*-2*12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 14 - 27 = -5*k, 0 = -3*k + n + 23. Suppose 0 = k*m + 10 - 3. What is the remainder when ((-6)\/4)\/(m\/34) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*f = 11849, 0 = p + 2*p - f - 11833. Suppose 0 = s + p + 6688. Let c = -233821\/22 - s. Find the common denominator of -89\/34 and c.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 + 1.3. Let m = -589\/5 - -1052\/15. Let f = m + 48. Which is the nearest to 1\/4? (a) l (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*f - 5*d + 2, -5*f - 4*d = 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u - 2*u**3)*(5 + 0 - 17).\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -86, -214, -384, -602, -874, -1206, -1604, -2074?\n\"Answer: -p**3 - 15*p**2 - 76*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1110001110 (base 2) to base 15\nAnswer: 40a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51617911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 0. Let w be p\/((9\/3)\/(-3)). Is w less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 13) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-42) + 22\/(-24)*2. Suppose -v + 3 = -2*v. Let i = 3 - 1. What is the biggest value in m, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 147 + -58c4b6?\nAnswer: -58c36d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2061)\/(-3) - (-8)\/((-48)\/(-6)). What is the highest common divisor of 129 and s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2991, -5988, -8987, -11988?\nAnswer: -14991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 2*l - 5*l - 7*l - 3*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 149615920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1307 + 0.0367. Let v = -0.006 + h. Which is the smallest value? (a) 0.5 (b) v (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 2*a = -4*y + 110, 0 = -4*a + 3*y - 87. Let c be 4\/a + 1722\/(-27). What is the units digit of ((-6)\/4)\/(12\/c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ona when three letters picked without replacement from {d: 3, n: 1, i: 1, o: 2, r: 7, a: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**2\/13 + 7738148*t + 97303268513594 = 0.\nAnswer: -25148981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.4 + -22. Which is the biggest value? (a) s (b) -1.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22\/65 - -7\/13. Let x(y) = -8*y + 2. Let m be x(-5). Calculate the common denominator of b and (m\/22 + -2)*-37.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.318978 * -0.0441\nAnswer: 0.0140669298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1319.3 - 1319. What is the nearest to -3 in 6\/13, 2, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddlldldddd. Give prob of sequence lddd.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2285686?\nAnswer: 2, 13, 87911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 3. Let j be q(0). Solve 4*h - 3*b = j*h + 3, 0 = -5*h - 5*b - 25 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o. Suppose 4*l + 11 = 2*k + 1, -3*k + 5 = 4*l. Let c(p) be the second derivative of 1\/6*p**k + 0*p**2 + 0 - p. Give c(y(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h = 22. Let m = 58 - h. What is the remainder when m is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46062058 and 392.\nAnswer: 184248232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i + 1. Let w(o) = -o. Let f be (1 - 36\/40)*-4*-10. Let x(h) = -4*h**2 + 15*h + 2. Let m be x(f). What is m*j(c) - 14*w(c)?\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*h + 19, 2*g + 2*h - 7 = 3*h. Suppose -r + 275 = g*r + 3*t, -94 = -2*r + 2*t. Calculate the greatest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49, 75, 89, 85, 57, -1, -95?\n\"Answer: -h**3 + 33*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 1\/(-2))*322\/(-483). Which is the closest to -1\/2? (a) h (b) -10 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/7)*p\/p**(-1\/4)*p**9*p*p*p**(7\/6)*p*p assuming p is positive.\nAnswer: p**(1271\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 354\/366 - 40\/25620*-21\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*d + 66, 3*x = -2*d + 48 - 18. Solve 0*m = 3*m - x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-4) + (-36)\/48. Suppose 0 = -5*f + 1 - 11. Is f greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, i: 1, z: 2, m: 2, j: 4}. Give prob of picking 1 j, 1 m, and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 7*u + 10. Let y be a(5). Put 2, y, 3, -1 in increasing order.\nAnswer: -1, y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39100 and 3868600.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 9. Suppose -n = 5*f + 42, -5*n + n + t = f. Let q be (2 - f\/(-3)) + 242. What is q rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.2 times -63779?\nAnswer: -969440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 - 182. Let p(q) = q**2 + 3*q + 6. Let w(r) = -2*r**2 - 7*r - 12. Let g(y) = u*w(y) + 5*p(y). Let v = -12 + 7. Determine g(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + 1 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*12\/39*(429\/2)\/33?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 249, 253, 267, 297, 349, 429, 543?\n\"Answer: r**3 - r**2 + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -63, 20.2, -2\/11, 1\/3, -2, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b)**(-21\/5)\/((b\/(b*b**0))\/b**2) assuming b is positive.\nAnswer: b**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -163 + 176. Suppose -7*d + z*d = 2928. What is the greatest common divisor of 61 and d?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/5, 25.625, 0.1 in increasing order.\nAnswer: -7\/5, 0.1, 25.625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10\/29 + -781\/174. Let o = -418\/3 - -1489\/12. Find the common denominator of a and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, 0.2, -10, -33?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2 - 10. Let n(f) = 2*f**2 - 3. Let c(g) = -3*b(g) + 10*n(g). Let h(a) = -24*a**2. Give h(c(q)).\nAnswer: -96*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 640001*h**2 + 52*h + 100. Let k be n(-2). Round k to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4159\/12567 + -10\/4189. What is the closest to 4\/5 in -19\/4, k, -5, -12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842781947?\nAnswer: 7, 103, 251, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 196390*d + 1928451605.\nAnswer: 5*(d + 19639)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 11 - -6) + -1 + -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5250708440?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.57 + 2.5699409. Round u to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1315*o - 1271*o + 1364 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2945)\/2760 + (-19)\/(-38). Let i = 2481 - 171185\/69. Let j = v - i. Calculate the common denominator of j and 27\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54276 = 3*g - 4*u, 244*u - 247*u = 0. List the prime factors of g.\nAnswer: 2, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13045 - 12*m**2 - 3*m**2 - 10*m**2 + 18*m**2 + 353*m + 461*m wrt m?\nAnswer: -14*m + 814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4. Let a(c) = c - 21. Suppose 3*u + 17 = 77. Suppose 3*o = o + u. Let d(z) = -3*z + 28. Let m be d(o). Give m*a(x) + 11*v(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m + 2. Let w(d) = -d - 6. Let q be w(-6). Put m, q, -3 in increasing order.\nAnswer: -3, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.2 + 1.2. Let r = -23 - d. Let o = 152\/355 + -2\/71. What is the third smallest value in o, 2\/17, r, -2\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47093 * -34\nAnswer: -1601162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 565812, 1131614, 1697416, 2263218?\n\"Answer: 565802*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.64 - 0.24. Let x = -1.3 + h. Let w = -0.1 + x. Is w < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 464560 divided by 5\nAnswer: 92912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9*f. Let l(j) be the third derivative of 3*j**5\/20 - 2*j**2 - 6. Determine n(l(q)).\nAnswer: 81*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 224705008 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10*m - 40. Let x(u) = -7*u + 26. Suppose -19*q + 23*q + 20 = 0. Let w(a) = q*g(a) - 7*x(a). Let o be w(15). Solve -5*v = -o*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 6. Suppose 5*k = 5*s - 0*s - 15, 2*k - 8 = 0. Suppose 2*d + o = -2, d + 2*o = -0*o - s. Solve -t + p = -d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2927.9 + -2928. Which is the closest to -18? (a) v (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, o: 4, t: 6, d: 5, y: 4}. What is prob of sequence ttgy?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 less than -51778?\nAnswer: -51749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 14 + 2*u**3 + 2781*u**4 - 2780*u**4 - u**3 to the form h*u**2 + d*u**3 + c*u + w + p*u**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -4*a. Let m be 0 + (2 - 1) + 0. Let b be (m - (-10)\/(-14))\/(-1). Is a bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -126, -166, -206, -246, -286, -326?\n\"Answer: -40*a - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 2\/5, -2, -1\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545506 (base 8) to base 12.\nAnswer: 89b72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011001111111001000 (base 2) in base 12?\nAnswer: -159374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 7:55 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5202 is divided by 187?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217455?\nAnswer: 3, 5, 7, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1248*f**2*k**3 - f**2*k + 427*f**2 + 2*f*k**2 wrt k.\nAnswer: 7488*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**4\/4 + y**3\/3 - 5*y**2\/2 - 4*y + 9. Is l(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(1\/1*2))\/2. Solve 0 = 5*l + t*f, 4 = -0*l - 5*l - f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-3 - -3)\/(-1). Suppose h*l - 1 = -n + 18, -3*n - 15 = 0. Solve 0*x - x - l = -y, 10 = 2*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*-1 + 5 - sqrt(8) - sqrt(512)*3) + (sqrt(588)*2 + sqrt(588) + sqrt(588))\/(sqrt(12)\/sqrt(18)).\nAnswer: 5 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(70)\/sqrt(490).\nAnswer: 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + d + 2)*(4*d**2 - 3*d**2 + d**2) + 16*d**3 + 15*d**3 - 34*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14406 rounded to the nearest one hundred?\nAnswer: -14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1 - 7 = 0. Let b(n) = -5*n + 5. Let q(v) = -9*v + 9. Let m(l) = 11*b(l) - 6*q(l). Let f be m(-1). Solve -f*x = 3*x + s*a + 3, -2 = -2*a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 2 + 2 + 0)*(1 - 1 - 4*l).\nAnswer: -8*l**2 - 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 11:20 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 200885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*2\/(-4)*136\/(-119).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c. Let t(g) = 91846*g. Calculate a(t(b)).\nAnswer: -367384*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/(-40)*(-15)\/6 - 0. Solve 0 = 5*h - 10, -8 = -2*p - h + m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 + -85. Solve -1 = -g - q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 0)\/(28*3\/12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/79 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 7:13 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1314 + 1315. Solve -v = -323*j + 322*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -477 and -242245?\nAnswer: 115550865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -15, 3, 1\/6, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 110001010001110100110000?\nAnswer: 110001010001110100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -645?\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*g + 16, 0 = -2*z + g + 18420208. Let k = 21820102 - z. What is k rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0, -0.04, -16, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 27*o + 133. Determine t(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 133724116 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i - 3. Let h(f) = 11*f - 10. Let q be (-18)\/(-15)*(-3)\/18*-10. Let o(z) = q*h(z) - 7*r(z). Determine o(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142830 divided by -5?\nAnswer: -28566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*1\/(4\/(-12)) + 5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32087972*a**2*s**3 - a**2 + 2*a - 38144 wrt s.\nAnswer: 96263916*a**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7500\/(-35))\/(1 - 155\/154). What is c rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2352 by -24.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48208 and 157332834.\nAnswer: 6026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6104 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3)**(4\/15))**(-25\/3)*((r*r**2\/r)\/r)**(-3\/20)*((r\/r**(1\/3))\/r)**(-6) assuming r is positive.\nAnswer: r**(-289\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44355, 44355, 44333, 44277, 44175, 44015, 43785?\nAnswer: 43473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 23 - 14 = 0. Let j be d\/8*26\/39. What is the biggest value in 2, -1\/2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 4. Let c = m - 0. Is 26*c*2\/2 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = -4*j. Suppose -3*x - 8 = k, 0*x + 2*k + 4 = -2*x. Is x\/(j + 15\/18) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgkkkmtttttlkmktkk. What is prob of sequence kmk?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.712 - 8.712. What is the smallest value in n, 1, -1, 78, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 60201?\nAnswer: 1\/20067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/144 and -29\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-352*t - 154 + 154)*(-3 - 1 + 3)*(-t**2 - 2*t + 2*t)*(6*t**2 - 2*t**2 - 2*t**2).\nAnswer: -704*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -318 + 426. Calculate the highest common factor of 27 and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 333, 5, -1 in descending order.\nAnswer: 333, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63\/265 - -2\/53. Are 1 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - 2.93. Let z = -1710 - -1709.6. What is the third biggest value in z, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*n + n. Suppose 5*w - n = x, -w + 4 = x - 0. Let g(l) = 18*l. Let p be g(w). What is the highest common factor of p and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 2*d + 129 = 147. Solve -2\/3*i + 8\/3 - d*i**2 = 0.\nAnswer: -4\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -75207, -150414, -225621, -300828?\n\"Answer: -75207*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 400*f**2 - 2732*f - 104. Calculate z(-7).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8337740 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2 + 1 + 4)*(5 + 6 - 6)*(-1 + 0 - 1).\nAnswer: -10*x - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(2\/31)\/m)))\/(m*(m\/(m*m*m**(2\/33)))\/m*m))\/(m**7*m**8) assuming m is positive.\nAnswer: m**(-16240\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 h when three letters picked without replacement from shssssshhhhhh?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7727*j**3 + 7722*j**3 - 2134*j - 2132*j + 4266*j.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 22111 (base 3) to base 16\nAnswer: e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1080*219.26\nAnswer: 236800.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 205778 to the power of 1\/2, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.04, 2, -3, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 take away 3205771907895?\nAnswer: -3205771907893.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9255, 9262, 9273, 9288?\nAnswer: 9307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/11881?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2214, 2, 0.\nAnswer: -2214, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 14*u**3\/3 - 7*u**2\/2 + 7*u - 43. What is the remainder when 40 is divided by j(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28482 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5641 = 5*w - 5637, 3*t = 2*w + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19646, 3, 1\/4, 4?\nAnswer: -19646","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 - -58. Let j(n) = -8*n**3 + 19*n**2. Let z(f) = -32*f**3 + 75*f**2. Let c(k) = d*z(k) + 22*j(k). Find the third derivative of c(u) wrt u.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217008 is divided by 53761?\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 560884?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.1 and 10.24.\nAnswer: 9.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8954 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*i + 105285 - 105285 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/4 (b) 138 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8496 divided by -4\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 1:55 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1516281*v**4 + 65*v + 5597 wrt v?\nAnswer: -18195372*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*t**2 + 238*t**2 + 239*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/27)*s*s**(-6))\/(s**(-3\/4))**(-22) assuming s is positive.\nAnswer: s**(-1157\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -433146, -866307, -1299480, -1732665?\n\"Answer: -6*s**2 - 433143*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(26\/(-11 + -15) + 29\/27)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -25*x + 1. Let n be f(-19). Suppose n - 2573 = -3*g. Let u = g + -364. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 7. Suppose b = 2*p - 3*g - 4, -p - 5*g + 5 = -2*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 p when four letters picked without replacement from pdpddpdpddpdpdpppd?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (sqrt(98) - (sqrt(98) + -1))) + -1*sqrt(2)*-4.\nAnswer: -1 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + 3 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 883*u - 31878 = 2475*u + 685*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 - 122*r - 6*r**3 + 122*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 = -2*b, 0 = -5*f + 6*b - b + 25. Solve -8 = x - 4*o, 3*x - f*o = -0*x - 17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1550792490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*o - 59 = 0, -2*o = -0*o + 10. Let v be (-2)\/s - (-1998)\/99. Let u = v - 6. Solve 4*g - 6 - u = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, v: 9}. Give prob of sequence oovo.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(486)*1 - sqrt(486) - sqrt(486))*-4*5)\/(4*(2*sqrt(10)*-4)\/sqrt(5)) + 5)**2.\nAnswer: -225*sqrt(3)\/4 + 7675\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 285843*j - 285850. What is r(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 33614000 to the nearest one hundred thousand.\nAnswer: 33600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 = 19*l + 13 - 81 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.301 + -0.001. Let d = 0.7 + m. Let s = d + -5. Which is the nearest to 0.1? (a) s (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*c = 0, -11 + 27 = 4*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10388 is divided by 271.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 40 = v. Let h be 12\/v - (-13)\/5. Suppose 3*f - 3*d - 2*d - 52 = 0, h*f + d - 13 = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9893 and 38960917?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 4) in base 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x + 25*x - 5*x + 4*x.\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.23 (b) 0.1 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 368, 628, 684, 434, -224?\n\"Answer: -17*n**3 + 379*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 0*k**2 + 2*k**2. Let l(o) be the third derivative of -o**5\/60 + 77*o**2 - o. Determine l(m(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2539 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(980) + -1*sqrt(980))\/(sqrt(48)\/sqrt(3)) - (2*sqrt(125) - -3*(sqrt(5) + 3)).\nAnswer: -13*sqrt(5) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.3 and 20723760.\nAnswer: -47664648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 47136019?\nAnswer: 47136019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 4. Let m(y) = -2*y - 11 + 4*y + y. Let p be m(l). Put -4, 3, p in descending order.\nAnswer: p, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41.15 + -30.15. Sort 3, -0.1, j in ascending order.\nAnswer: -0.1, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 757.7587t in grams?\nAnswer: 757758700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 - 321\/4. What is the nearest to y in 1.2, 2\/17, 0.4, 3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5\/t*t)\/((t**(2\/27)\/t*t)\/t))**(-1\/50)*t**(-1\/6)\/t**(-1\/10)*(t**(1\/3)\/t)**(-4\/11) assuming t is positive.\nAnswer: t**(17\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -3*b**2 + 0 + 0*b**3 - 1\/12*b**4 - b. What is p(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, 49, 4 in descending order.\nAnswer: 49, 4, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 4:19 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182646973 to the nearest integer?\nAnswer: 13515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -4*u. Let m be 2*1*7\/(-14). Let y be (7\/(-7))\/(m - 0). Solve -r - 3 - y = u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2. Let u(l) be the second derivative of 0*l**2 - 5*l - 1\/2*l**3 + 0. What is u(y(x))?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -9. Suppose h = -3*a + 8*a. What is the highest common divisor of a and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37.97217 and 12?\nAnswer: 455.66604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0 - 3) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 - 175 = -23*a - 14 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045734082 to 6 dps.\nAnswer: -0.000457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 7*w + 7. Let f be s(-5). Suppose -4*q = -3*i - 1, 0 = 2*i - 0*i - 5*q + 3. Let h = -18 - -17. Sort f, i, h in descending order.\nAnswer: i, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4680 and -107\/104.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 114 - 18 = 0. Suppose 0 = -3*n - 4334 + 4316. Let b = n - o. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 - 4*s - 8. Let p(o) = o**3 + o**2 + 2. Let h(i) = 4*p(i) + u(i). Give h(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*a + 885 = 185 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5623.954 + 5642. Round g to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -180.79 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 20 + 3*p + 22 - 570*p**3 - 3*p.\nAnswer: -570*p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 1. Let k(x) = 8*x**2 + 2. Let j(d) = 2*b(d) + k(d). Let m(g) = -g. Give m(j(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -3334.\nAnswer: -21\/3334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 30340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 13*d**3 + 5*d**2 + 5*d - 32. Let n(l) = 6*l**3 + 2*l**2 + 2*l - 16. Give 2*m(f) - 5*n(f).\nAnswer: -4*f**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 110\/(-15))\/((-5)\/6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164*-2.\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(2178))**2*4 + -3.\nAnswer: 104541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 282, 424, 566?\nAnswer: 708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(3\/(-2)))\/((749\/(-1284))\/7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/81761023?\nAnswer: -2\/81761023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = g - 3, 209*g = 4*v + 206*g - 21. Solve 0 = 3*t + 3*j + v, -10*t + 21 = -6*t - j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5121557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, i: 1, r: 2, z: 1, n: 3, o: 1}. Give prob of picking 1 n and 2 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8) + (-18)\/(-24). Does 17 divide 216\/6 + (-1 - d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/15)\/((-6)\/80). Let j = i - 12. Suppose -13 - 7 = -j*l. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 37 = 11. Suppose -r + 5*o - 3*o - 1 = 0, 4*r = -2*o + i. What is the third derivative of y**3 + 4*y**3 - 3*y**3 - 4*y**2 + 3*y**r wrt y?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 58557, -2\/7, 0.2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 + 46*s**2 - s\/4 - 46.\nAnswer: (s - 1)*(s + 1)*(s + 184)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2468, -5, 5 in decreasing order.\nAnswer: 2468, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.7453t in grams?\nAnswer: 63745300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - 2*h + h + (-4 + 0 + 3)*(3*h - 3*h - 2*h) + h - 2*h + 3*h)*(-1 + 3 + 1) to the form j + y*h and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -26. Let n be (3 - 2) + u + -3. Suppose -3*x + 13 = -n. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/148*(-5026)\/87955.\nAnswer: 2\/259","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -940 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14\/27 + -26\/27. Which is the closest to 1\/3? (a) u (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16169, 16151, 16139, 16127, 16109?\nAnswer: 16079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 15 = -0*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**4)\/(o\/(o\/(o**6*o)))*(o*(o\/o**(-4\/7))\/o)\/o*o**(-2\/9))\/((o*o\/(o\/((o\/o**(-3\/4))\/o))*o\/o**(1\/3)*o)\/(o**(-1\/2))**(-31)) assuming o is positive.\nAnswer: o**(2629\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/6 + -1. Which is the nearest to 16? (a) -0.5 (b) 4\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-3*y + 5 - 5 + (y - 5*y + 2*y)*(0 - 3 + 5)).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -10. Let t = 11.16 - c. Let h = 0.16 - t. What is the closest to 2\/3 in -3, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110111001000001100011 (base 2) to base 16\nAnswer: 5b9063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - r)*(2*r**3 - 5*r**3 + 2*r**3) - 6*r**4 - r + 2*r**3 - 167 + 166 + 25*r**4 in the form x*r**2 + p*r + z*r**4 + i*r**3 + c and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 < 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (564\/470)\/((-54)\/120)*6\/188.\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.1, -0.2, -1.771, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttg when three letters picked without replacement from {u: 4, t: 4, g: 2, l: 1, k: 6}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 198245 greater than 198245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + p - 2*p - 74, -3*s = -2*p - 50. Suppose 0 = -9*o - 2 + 38. What is the remainder when s is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131841?\nAnswer: 3, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 118*c + 579. Calculate t(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + sqrt(102)\/sqrt(6))**2 - ((0 + sqrt(2057))*1)**2.\nAnswer: -2015 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 + 571*g - 11248. Give q(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-2\/7)\/f))**(-18)\/((f**(-2)\/f)\/f**(2\/21)))\/((f**5*f*f*f*f\/(f*f**1)*f)\/(((f\/f**(-3))\/f)\/(f**(-6)*f))) assuming f is positive.\nAnswer: f**(-421\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 119*q**3 - 1060*q**3 + 0*q**2.\nAnswer: -1179*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 97079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107\/37 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 76*b**2 - 2*b - 2. Let t be k(3). Let w = t + 389. Let u = -562 + w. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10*z**2 - 8*z + 9. Is v(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 28 = 41 - 13. Sort o, 3, 83 in descending order.\nAnswer: 83, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v**3 - v**2 - 429*v + 2488. Determine n(6).\nAnswer: -1202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13 - -0.27. Which is the second biggest value? (a) 4 (b) -0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1169 + -1148. Calculate the greatest common factor of m and 427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23256.\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 252*c - 2025.\nAnswer: -3*(c + 9)*(c + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7870)\/(-7083)*12\/50*(-87)\/(-2)?\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 9*r + 34. Let c = r + -15. Solve 5*l + 30 = c*p, p + 3 = -0*l - 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25553441015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-5))\/(5\/(-25)). Let c(a) = -a**2 + a - 3. What is c(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3 - 66*s**2 - 510*s + 578 = 0.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b**2. Suppose -95 = 17*x - 180. Let i(h) be the second derivative of -x*h + 0*h**2 - 1\/6*h**3 + 0. Determine t(i(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 635102942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -130579 divided by -1?\nAnswer: 130579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1202, 2377, 3552?\nAnswer: 4727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -19) + -10 + (6 - 14) - -26?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2719?\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883 at least 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 120.5441884 to two dps.\nAnswer: 120.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -201 at most -201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 5:49 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 - 0 - 623\/(5 + -12) is divided by (8 + 77\/14)*4\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106 and 42771.\nAnswer: 85542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 622389, 622392, 622395, 622398?\n\"Answer: 3*l + 622386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/5)*y*y*y**(-5)*y*y)**(-16) assuming y is positive.\nAnswer: y**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**7\/210 - m**3\/6 - m**2\/2 - 2*m. Let p(y) be the first derivative of w(y). Find the first derivative of p(g) wrt g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/49878 and -17.\nAnswer: 49878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261365?\nAnswer: 5, 13, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634818.1km to meters.\nAnswer: 634818100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 193*i**3 + 4*i - 57319 wrt i?\nAnswer: 579*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 8. Let t be 2\/(-5)*(-81 + v). Suppose z - t = -5*i, 4*z + i = 3*i + 112. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -610.\nAnswer: 3050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -20*i**2 - 216*i + 48. Give n(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101200210021 (base 3) in base 16?\nAnswer: -3365e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 1358.\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (36 + (-4 - 10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 633 + 31. Suppose -8*i = -t - 360. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 = -4*q, x - 2*q = -3*x + 2. Suppose x*p = -6*f + f + 58, 3*f - 10 = 5*p. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1670447000 to the nearest 1000000.\nAnswer: 1670000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*n = 10, 6*o - 3*n + 22 = n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2))\/(c*c**4)*(c\/c**1)\/(c*c\/(c\/(c**(-4)*c)*c)))\/(((c*c\/((c**1*c*c)\/c)*c)\/c)**(-2\/23)*c\/c**(-2\/9)*c**(-7)) assuming c is positive.\nAnswer: c**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -996112, -5\/4, 4, -3.\nAnswer: -996112, -3, -2, -5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-10))\/((-97)\/(-485))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 360 = -18. Does 21 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1612 and 6.\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + 49. Calculate the remainder when s is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -341346.9 - 149760\nAnswer: -491106.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6674?\nAnswer: 2, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7836, 32817, 74460, 132771, 207756, 299421?\nAnswer: 407772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**14)\/(j\/(j\/(j*j**(-1\/10)))))\/((j\/(j**(-4\/3)\/j))\/j)**(-1\/16))**32 assuming j is positive.\nAnswer: j**(7318\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32 - 2\/9*f**3 - 80\/3*f + 46\/9*f**2.\nAnswer: -2*(f - 12)**2*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + -14 - -14*1\/2. Let s(c) be the first derivative of 1\/10*c**w + 0*c + 1\/15*c**3 - 9. Solve s(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5939 + 0.6. What is j rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -280, -1, -0.1 in ascending order.\nAnswer: -280, -1, -0.7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 2) + 6\/1. Suppose 5*q - 2*q = 2*s - 29, 5*s - y*q - 50 = 0. Solve 4*d = -0*d + m + s, -d = 5*m - 28 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4892, 4871, 4902, 4985, 5120, 5307, 5546?\nAnswer: 5837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16246109645 + 17*h**2 + 16246109645.\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**5\/60 - 13*x**4\/12 - 31*x**3\/2 - 2577*x**2. Determine q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -137 + -56. Let k = 195 + o. Solve -1 = k*f - 3*m, f = -m - 2*m + 13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2*1\/(-34)). Which is smaller: w or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*b - 4*q + 25, -3*q + 19 = -2*b. Suppose m + 90 = 2*u, 0 = -3*u + 4*m + 66 + 59. What are the prime factors of u\/5 + b\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/9 - 26*i**4\/3 + 24290*i**3\/9 - 31846*i**2\/3 - 8152*i + 47880 = 0.\nAnswer: -133, -2, 3, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -62*l + 255. What is f(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 703421\/10 + -72198. Let g = 1863 + p. Find the common denominator of g and 2\/4*(-118)\/(-16).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 484 + -279. Is c a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -201*a + 207*a - 24. Suppose -a*r = -7*l + 8*l - 15, -9 = -4*r + l. Solve n - 3 = -5*h - 2*n, -3*h - r*n = -3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13160 - 16*h**3 - 131*h - 539*h**2 + 15*h**3 + 13156 wrt h.\nAnswer: -6*h - 1078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0, -2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163 is divided by 285?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/651?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -41, -23, 7, -2, 2 in descending order.\nAnswer: 43, 7, 2, -2, -23, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31830983.\nAnswer: 31830983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 3b82ab?\nAnswer: 3b82ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 3:24 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 11*t**2 - 9*t - 28 - 2*t + 22 + t**3. Let a be l(-11). Let b = a - 50. List the prime factors of b.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 12 = o, 24 = -m + 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*a + 2984, -a - 2993 = -d - 5*a. Let g be (-1)\/(-1)*(-18)\/6 - -1422. Let s = d - g. Round s to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*p**2 - 945*p**2 + 328*p**2 - 22*p + 308*p**2.\nAnswer: p**2 - 22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 63.5. Let z = 42 + -22. Let j = z + t. Which is the smallest value? (a) 0.2 (b) j (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206024942?\nAnswer: 2, 19, 5421709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (-1)\/(1\/(-106)). Let c = i + -47. Let w = 78 + -49. Calculate the remainder when c is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57109\/2 or 28556?\nAnswer: 28556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*i - 48. Suppose i = 2*q + 2*q. Solve -q*t + 4 = 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18688 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*b*n**4 - 3*b*n**2*y - 2*b*n + 20*b*y - 12*b - n**4 - 2*y wrt n.\nAnswer: -864*b*n**2 - 6*b*y - 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.711633 to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173818?\nAnswer: 2, 233, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 12*g - 27 - 22994*g**2 + 170 + 22993*g**2. Give n(19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42676, -1, 17, 5 in descending order.\nAnswer: 17, 5, -1, -42676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5258 and 121?\nAnswer: 57838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 13 - 7)*((-5 + 1 + 2)*(2 + 2*p - 2) + (-11 + 11 - 4*p)*(-15 - 8 + 12)) to the form j + d*p and give d.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1108)\/(-23822) - (-380)\/(-774).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7074.031 minutes in milliseconds?\nAnswer: 424441860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 247301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 21*q + 19. Let k be o(20). Let c = 62.6 + -63. Let b = -0.08 + 0.58. What is the nearest to k in b, c, 19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**5 + 44255*w**4 - 574675*w**3 + 1812025*w**2 - 2077020*w + 795420 = 0. Calculate w.\nAnswer: 1, 2, 9, 8838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51096640 a multiple of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 d, and 1 e when three letters picked without replacement from {x: 2, r: 6, e: 1, s: 4, d: 3, t: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -11*p**2 - p. Let n be o(1). Let y be ((-63)\/n)\/((-6)\/(-16)). Suppose y*s - 16*s + 124 = 0. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336317?\nAnswer: 3, 31, 14369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16031.767802 rounded to 1 dp?\nAnswer: 16031.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -3. Suppose -m*t + 94 = -18. What is the remainder when 27 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s - 10. Let a be j(8). Suppose -2*y + 5*q = -25, -3*y = -5*q - a - 18. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2096 and 36268660.\nAnswer: 145074640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-22) + 138\/(-33). Let h = -72 - -71. Put -3, q, h in decreasing order.\nAnswer: h, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(0 - 1\/(-2)). Let l(z) = 17*z - q + 2. Let u(t) = 14*t**2 - 5*t. Let d(x) = -3*x**2 + x. Let r(a) = -5*d(a) - u(a). Calculate l(r(h)).\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*-1*(-1 + sqrt(405) + sqrt(405)) + 4))**2.\nAnswer: -4500*sqrt(5) + 41125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 3. Let d be n(-3). Let q be 10\/d - 1060\/(-6). Suppose -q = -3*v + 145. Calculate the remainder when v is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1667*r - 14 = 1660*r. Solve r*i - 10 = -8*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3507 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2202 (base 3) to base 4.\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 25. Suppose 24 = -2*x + 3*n - 3, -2*n + 40 = -5*x. Let c = x - -13. Solve -5*d + k = c, 0*k + 2*k = -i*d - 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkr when three letters picked without replacement from krmaq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -4, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 8. Let o = -2 - -2. Suppose o = q - 4 + 1. Sort q, y, 1.\nAnswer: y, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10051 = -536*k + 99*k for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3)*24\/(-2). Suppose 0 = t - 0*t - r. Let w = 13 - t. Calculate the greatest common divisor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 4:54 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -1. Let f = r - 0.3. Let z be 8\/12*9\/(-21). Which is the nearest to 2? (a) z (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5562*r**4 + r**3 + 217*r**2 - 20189690.\nAnswer: -22248*r**3 + 3*r**2 + 434*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2491\/6 - 421. What is the common denominator of 121\/20 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 13 = -12*z + 9*z, -12 = 2*n + 4*z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -1071*j**4\/4 + 2295*j. Let o(x) = -x. Calculate o(d(v)).\nAnswer: 3213*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9994, -9996, -9990, -9970, -9930?\nAnswer: -9864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 27*z**2 - 16*z + 13. Let g(u) = 14*u**2 - 8*u + 7. Give -11*g(q) + 6*t(q).\nAnswer: 8*q**2 - 8*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 22 + 6 + 4 + 0*u. Let k be r(-7). Solve -4*l - 12 = -o, -k*l = -7*l + 5*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4 = -19. Let z(b) = 13*b**2 - 9*b - 5*b**2 - 2*b**3 + 5*b**p + 5*b**3. Let f(i) = 7*i**3 + 7*i**2 - 8*i. Calculate 7*f(x) - 6*z(x).\nAnswer: x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, -5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1921672 is divided by 425?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 + 0.13. Let n = 2 + -1. Let t = 2.35 + -4.35. Which is the second smallest value? (a) t (b) n (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-3)*(-3)\/4. Let w(o) = 4*o + 4 - o**2 + 4 + 5*o + 0*o. Is w(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 8276.4090529?\nAnswer: -8276.2090529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1538 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -39 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155311*o - 42*o**3 - 162*o**3 + 155311*o.\nAnswer: -204*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*-9*(-1232)\/(-168)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -6*p - 4*u, 2*p + 2*u - 193 = -139. Solve p*c = 3*c - 120 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1737 = 71*b + 246. What is the remainder when 307 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8734*b - 44. Let v be d(-34). What is v rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311 (base 4) to base 14.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 14, g: 4}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 247 - 246.7. Let p = 11 + -8. Sort p, x, 0.1 in ascending order.\nAnswer: 0.1, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-6)\/(-3)) - (-146 - -2). Suppose -7*m + 123 = -w. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 760 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3454 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 + 2*o**2 - 1. Let u be c(1). Let p be (-60)\/18 - u\/(-3). Let s be (-285)\/(-20) + (-3)\/p. Solve 4*q + 8 + 11 = -3*a, 3*a = -s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -985.07147 rounded to 1 dp?\nAnswer: -985.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 571, 2322, 7087, 16372, 31683, 54526?\n\"Answer: 251*d**3 + d**2 - 9*d + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323*v = -22*v. Is 5\/6953 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*w - 19. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166720962.\nAnswer: 2, 3, 27786827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/2 - 351*r\/2 + 357.\nAnswer: -3*(r - 2)*(r + 119)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p - 12 = -24*p. Let n(u) = 5*u**2 - 2*u. Let o(s) = 6*s**2 - 3*s. Calculate p*o(d) + 3*n(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 3*h - 3*s + 10, 4*h - 3*s = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from {t: 2, z: 2, d: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(0 - -1) - -22. Let m be (-356)\/(-18) - k\/(-99). Solve 0*a + m = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.076 + 0.774. Let z = a - 4.85. Let h = z + 3.9999901. What is h rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5*((-15)\/33)\/(-1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9 + -4. Let v(o) = -o**3 - 9*o**2 - 7*o + 8. Let i be v(-8). Let s be 1\/3 + i + 1. Which is the closest to 0? (a) d (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14.54? (a) 0.02 (b) 14 (c) -11 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 54 = 7*j - 22*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/21)\/((-66)\/(-154)))\/(11\/(-121))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -6. Suppose a + 2*b - 38 = -5, b + 76 = m*a. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 9 = 3*v. What is the greatest common factor of v and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 95 - (-1 + -1) - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 - 130*w - 2. Let z(v) = -2*v**2 - v + 1. Determine -o(i) - 2*z(i).\nAnswer: -i**2 + 132*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (285 - 298) + 4 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, m: 2, v: 1, y: 1}. What is prob of sequence my?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/o**(1\/10))))\/o**(-3\/5))**21 assuming o is positive.\nAnswer: o**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79.5*0.2.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3))**(2\/59)*c\/c**2*(c\/c**(2\/7))\/c assuming c is positive.\nAnswer: c**(-1607\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34363e (base 15) to base 11.\nAnswer: 145243a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 45*j + 35*j + 91*j + 52*j + 134*j.\nAnswer: 357*j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -12201323234?\nAnswer: -12201323242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74988?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 22 = i + 2*t, 5*i - 3*t = 43. What is the least common multiple of i and 35?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.7517739 and -2.\nAnswer: -0.2482261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**3*k**2 - 904*b**3*k - b**3 - 117*b**2*k**2 + 229*b**2 + 2*b*k wrt b.\nAnswer: 30*k**2 - 5424*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -2*q - q + 3*s, q + 3*s = 19. Suppose -5*b = -5*p - 40, -2*b + 3*p = -q + 3. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8179999?\nAnswer: 401, 20399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3 - (-11 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*l + 981908 = 0, -4*d - 7*l + 6*l = 3927596. What is d rounded to the nearest 10000?\nAnswer: -980000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22\/(-99) - 760\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175483.7us in milliseconds?\nAnswer: 175.4837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -668714 and 695.\nAnswer: -668019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5 - 24*n**4 + 51*n**3 - 26*n**2 = 0.\nAnswer: -26, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 5*s + 2. Let i be a(-7). Let h = i + 15. Solve -j = -5*k + 4*k + 4, -3*j + h = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 + 5.04. Let i = p + -4.6. Let h be (9\/(-114))\/((-3)\/(-4)). What is the second biggest value in 1, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 0. What is the remainder when 18 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5172 + -5177. Let m(a) be the first derivative of -a**3\/3 + 7*a**2\/2 + 3*a + 2. Let z be m(7). What is the fourth biggest value in 0, c, 12, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1922323 and 20358?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*(2\/(-65))\/((-612)\/(-4590)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/(-40))\/((-2)\/(-4)*-1). What is the units digit of (-1)\/(1*z\/261)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1)*(-3*x - 2*x + x + x - 1 + 1 + (0 - 2 + 3)*(-x - x + 0*x) - 20 + 20 - 7*x).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88261?\nAnswer: 88261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 3*d = -18*d + 22224. What is the greatest common factor of d and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 146*w**3 + 14*w**2 - 148*w + 7. Let a(q) = -144*q**3 - 12*q**2 + 145*q - 6. Let v(r) = 7*a(r) + 6*y(r). Find the second derivative of v(l) wrt l.\nAnswer: -792*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b. Let r(t) = 47448007*t**2. Calculate r(i(k)).\nAnswer: 189792028*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2390, -4573, -6758, -8945, -11134, -13325, -15518?\n\"Answer: -k**2 - 2180*k - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2746 + -1216. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 - 4*q + 1. What is z(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -195 - -188. Let z be y\/(-5) + (84\/15 - 5). Solve d + z - 5 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(350)\/sqrt(160))\/(-5*(sqrt(7) - sqrt(63))) + -2)**2.\nAnswer: 2*sqrt(5)\/5 + 81\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f + 3*f - 2*f)*(-6*f**3 - 549*f**2 - f**3 + 548*f**2) to k*f**2 + a + m*f**3 + q*f**4 + l*f and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6 + 10 - 1 + b**2 - 1 - 13*b. Let d be h(12). Suppose d*s - i = 533, -2*i - 1333 = -4*s - s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 11*q**2 + 17*q + 27. Determine z(-12).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*z + 26, 0*z - t + 15 = -3*z. Let d = -2 - z. Suppose -d*f = 4*x - 48, -4*x - f = -3*x - 11. What is the remainder when 25 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -303 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*183\/305*3\/(-21).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j. Let f(v) = -40066*v**2. Give s(f(z)).\nAnswer: 80132*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15164 divided by -446\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 4. Let n be d(4). Let i(k) = n - 3*k - 3 + 0. Determine i(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*o = 196*o + 654 + 1380 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17102481007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-23) + 954\/(-138).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -598 + 598. Solve l = c + 4*x - 12, -2*c + 2 = -2*x - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94 or 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-10 + 12 + 10 - 11 - -29).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.62, 12\/37 in decreasing order.\nAnswer: 0.62, 12\/37, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 687*x - 433*x - 265*x.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -700 + 700 - 6*s**3 + 0*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - -3.1. Let k = 9.5 - -21.5. Let m = k - 33. What is the second smallest value in m, j, 1\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 4 - 4)*(-2 + 2 - 1) + 1 - 4 + 4 + 1 + 2 - 4 - 2 + 0 + 1)*(-u + u - 3*u**2).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1 - 9\/6). Suppose o + 9 = 2*f, -4*o + 0 = 5*f - 3. Sort o, 0, k.\nAnswer: o, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, m: 1, s: 5, x: 3, r: 1}. What is prob of picking 1 x, 1 v, and 2 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**6\/120 + 5*c**4\/24 + 3*c**3\/2 - 25*c**2. Let k(m) = -2*m - 4. Calculate -5*k(a) - 2*t(a).\nAnswer: -2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7238, 1\/10, -4 in descending order.\nAnswer: 1\/10, -4, -7238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c4 (base 14) in base 2?\nAnswer: 10101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/728)\/((-85)\/(-119))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 662*x + 659*x + 8457, -5*t = -5*x - 10615. Calculate the remainder when t is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 6*j - 4.\nAnswer: -2*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000754 < 1000751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 539166092?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 198.4 and 235195.\nAnswer: 46662688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3296 - 3329. Let d(s) = -s**2 - 37*s - 122. What is d(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 5*h - 2*h)*(973*h + 544*h + 340*h).\nAnswer: -5571*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -186947114*b*z**3 - 66985*z**3 - 15*z**2 + 4*z - 1 wrt b.\nAnswer: -186947114*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6)*2)\/2 + 294\/(-882)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 2 - ((-30)\/(-12) + -3)*88?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -1. Let y be (96\/56)\/(1\/7). Suppose y = -0*q + 4*q. Which is the closest to -0.1? (a) 2 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y**2 + 3*y**2 - 2*y**2)*(1255 + 1247 + 46*y - 2510) to the form r*y**2 + h + s*y + p*y**3 and give p.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*b = -930, 10*m = 5*m + b + 934. Is m a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 7, 18 in ascending order.\nAnswer: -0.3, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -21, -5 in descending order.\nAnswer: -5, -19, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1858*b**2. Let l(t) = -952*t. What is l(g(x))?\nAnswer: -1768816*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/4, 91122, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11654756 divided by 4.\nAnswer: 2913689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 388066 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 5*i + 43 = -32, 0 = 2*r - 4*i + 60 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*f - 60*f - 7*f)*(-8*f**3 - 4385 + 4385 + 2*f**2 + 3*f) in the form r*f**4 + l*f + o*f**3 + u*f**2 + i and give o.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4843481 (base 11) to base 5.\nAnswer: -4130002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/7 (b) -4954785 (c) 0.043\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {j: 2, r: 2, i: 1, u: 4, t: 1, f: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjnjjjjj. What is prob of sequence jj?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnxxnnnxnnn. Give prob of picking 1 x and 2 n.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -3, 0.5 in decreasing order.\nAnswer: 5, 1, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -52 - (-25 - (-10 + -6)) - 2.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16128.9 + -16129. Sort x, 6, -2\/3, 3, 1 in increasing order.\nAnswer: -2\/3, x, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 459\/102*22\/11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 290 (b) 7\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1318108*j**2 - 5104*j. Let p(c) = -1291*c**2 - 5*c. Give -5104*p(x) + 5*z(x).\nAnswer: -1276*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.213, 0.2, 2\/7, -12\/35?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + ((-11)\/(-22))\/(1\/4). Suppose v*i - 1576 = 950. List the prime factors of i.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 4*p - 11 = 5*y, -4*p = y + 16. Is (4\/12*p)\/(2\/(-62)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.69 rounded to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3824ab + -4?\nAnswer: 3824a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/5))\/(a**(1\/5)*a))**(-12)\/((((a\/(a\/(a*a**(-2\/3)*a)))\/a)\/((a\/(a*a**(-2\/3)))\/a))\/(a**(1\/4)\/(a**(-4)*a))) assuming a is positive.\nAnswer: a**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -317 - 408*y + 317 - 506*y - 76*y + (-3 + 5 - 1)*(-3*y + 2*y + 0*y).\nAnswer: -991*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, 57, 115, 197, 303, 433?\n\"Answer: 12*c**2 - 2*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + 207*c**2 - 7369*c + 137. Determine a(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -641.8 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1832?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 2:21 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.041, -5, 4649 in decreasing order.\nAnswer: 4649, -0.041, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84171 - 84170.790155. Let i = 0.21 - a. Round i to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168595851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + z = -7, 0 = 2*o - 2*z + 4 - 2. Suppose 5*c + 247 = -6*j + 8*j, j = o*c + 99. Is c smaller than -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 - -0.1. Let i = -7 + 6.1. Let x = 3.1 - i. What is the biggest value in 1, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + sqrt(684)))**2 - (2 + sqrt(684) + 0).\nAnswer: 30*sqrt(19) + 691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2313, -3, 4 in decreasing order.\nAnswer: 4, -3, -2313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agagaggakagaagagkga. What is prob of sequence akk?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25007810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -278, -241, -218, -215, -238, -293, -386?\n\"Answer: -h**3 - h**2 + 47*h - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-560)\/12)\/(-1) - 6\/(-18). Suppose -46*u = -q*u + 40. What is the greatest common divisor of u and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-14)*c\/c**(-1\/46)*c)\/((c**(-5\/12)\/c*c)\/(c**(13\/2)\/c*c)) assuming c is positive.\nAnswer: c**(-1397\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1043\nAnswer: -208.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*p - 5256 = 0, 9*q - 5*q + 5*p - 7008 = 0. Suppose -q + 5526 = 6*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4\/7 - 35184*f**3\/7 + 5252904*f**2\/7 - 49888240*f\/7 + 122519100\/7 = 0. Calculate f.\nAnswer: -8943, 5, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r + 100 = 0. Suppose 2 = -s - 3*y, 0 = 3*s + y - 5*y - r. Differentiate -4*h**3 - 2*h**3 - 2 + s*h**3 wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*k - 4, -5*k = 3*c + 2*c. Solve -3*m + v = 14 - c, -3*v = -4*m - 24 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -2.5. Let w = -2 + k. Which is the smallest value? (a) w (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2722628141?\nAnswer: 29, 93883729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -207236103 + 0.44.\nAnswer: -207236102.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -12. Let k be 3 + -6 + 4 + -1. Suppose 3*f - 13*f + 50 = k. Sort 11, f, i in increasing order.\nAnswer: i, f, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1254 + 1350. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**10\/105840 + t**9\/10584 + t**8\/5880 - t**4\/6 + 79*t**2\/2 - 115*t. Let v(k) be the third derivative of z(k). Factor v(p).\nAnswer: 2*p**3*(p + 1)*(p + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*p**2*q**2 - 2166970*p**2 + 161*p*q**2 - 42*q**2 wrt q.\nAnswer: -38*p**2*q + 322*p*q - 84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 11*s**2 - 12*s + 25. Let v(n) = 9*n - 44. Let z be v(6). Let t be q(z). Solve -3 = -w - t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - 66*s**3 + 11*s**3 - 30 + 17 + 45 - 2 as k + x*s + l*s**2 + m*s**3 and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1636, -3257, -4868, -6469?\nAnswer: -8060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -674 - -669. Let o(h) = 3*h**2 + 3*h + 1. Calculate o(j).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -53*(1 - 4\/3). Let u = j + -13\/2. Let v = 129 - 607\/4. Calculate the common denominator of u and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 22 = -3*z, -z - 340*g - 10 = -343*g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.84 take away 117410?\nAnswer: -117403.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 111963 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: Let l = 2\/69 - -55\/483. Let q = -0.141 - -0.241. Let j = 0.9 + 0.1. Which is the nearest to q? (a) -0.2 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + g - 1. Let n(r) = 1338*r**3 + 1115*r - 1115. Determine -4460*l(p) + 4*n(p).\nAnswer: 892*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 39 (b) -1\/4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100210920 by 10.\nAnswer: 10021092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/9)\/s**(4\/3)*s\/(s*s**1)*s**(-2\/13)*((s\/s**(-4))**(-35))**(3\/19) assuming s is positive.\nAnswer: s**(-66460\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*u + 8, -3*q = -6*q + 4*u - 16. Suppose -z = -q*z - 11. Let n = z + -7. Solve 8 = -3*c - n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 1 - 1)*(j**3 - j**3 + 3*j**3) + (-j + 0*j + 0*j)*(-3*j**3 + 4*j**3 - 3*j**3) + 0*j**4 - 2*j**4 + j**4 + 2*j**4 + 0*j**4 - 5*j**4.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4894409 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 535 + 81. Let y = o - 608. Let l = -0.6 - 1.4. Which is the nearest to 1? (a) l (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.123325km to centimeters.\nAnswer: 812332.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 253264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1899, -17, -5.\nAnswer: -1899, -17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**4 + 6*j**4 - 3*j**4)*(-108 + 272 - 122) to the form v*j**3 + k*j**2 + w*j + l*j**4 + n and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 3. Let y(m) = -m - 2. Let u(t) = -3*n(t) - 4*y(t). Let b be u(3). Suppose 16 = b*p + c + c, -3*p + 5*c = -64. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231 divided by -77.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6940 - 3054. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1945, -3827, -5669, -7453, -9161, -10775?\nAnswer: -12277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 3924342.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 + 95*c - 679. What is l(22)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*f**4 + 7*f**4 - 5 - 36 - 3*f**4 wrt f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**5\/4 - 423*d**4\/4 - 20573*d**3\/4 + 108519*d**2\/4 + 502335*d\/2 = 0.\nAnswer: -366, -61, -5, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 4*s**2 - s + 1345. Let j be l(0). Suppose j = 7*g - 2043. Let p = -288 + g. Round p to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15112 - -15113. Let n = 78 - 236\/3. Which is the second smallest value? (a) n (b) w (c) -2\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.05 and 134976133.\nAnswer: 134976132.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(1 - 1 - 1)*(-2 + 3*s**2 + 2).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 9, 3, -33 in decreasing order.\nAnswer: 9, 3, -14, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 446087.06000056 - 446087. Let b = 0.973 - 1.033. Let w = z + b. What is w rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 455 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 4 - 4)*(1777 - 18*k - 1777)*(k - k + 3*k).\nAnswer: -54*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(-3380)\/507*10\/5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-60) + 95832\/864. Solve 30*t + h = -7*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 10. Let r = 59 + -44. Suppose -14 = 13*f - r*f. What is the remainder when h(-9) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30775 - 25068. What is the highest common divisor of 78 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -1 + sqrt(176))**2 - (sqrt(11) - sqrt(275))*4.\nAnswer: 6*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -142.2?\nAnswer: 42.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*u + h, 258*u - 253*u - 5*h = 55 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f + 2*z, 0*f + 4*z = 3*f + 29. Let x(w) = w**3 + 3*w**2 - w - 4. Let r be x(f). What is the tens digit of 6 - 4 - (-15 - r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 722589908?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.66 - -0.663. What is a rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*w + 357. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a milligram in micrograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/2457 in 2, 3, 15, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 329*m - 329*m - 28*m**2. Let b(u) = 3*u. What is i(b(h))?\nAnswer: -252*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 34. Let v be (1 - 1)\/(-3 - r). Sort 2, 4, v in ascending order.\nAnswer: v, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 6*g - 8. Let d(m) = 22*m - 79. Let z be d(4). Suppose z*s + 198 - 153 = 0. Calculate x(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-10) - 100\/(-125). Let l be (-3)\/12 - 2\/(-12). Which is greater: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1458, 5825, 13096, 23265, 36326, 52273, 71100?\nAnswer: 92801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 12 + 19 - 330*q - 22 + 34.\nAnswer: -330*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**3\/6 + t**2 - t. Let o be r(0). Suppose 5*c - 30 = o*c. Calculate the remainder when 19 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -42*f**3 + 7*f**2 - 27*f + 9. Let m be x(7). Let z = m + 854447\/60. Find the common denominator of -79\/2 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - p + 33. Let b be q(0). Suppose -5*w + 303 = b. Calculate the remainder when w is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 7*q**2 + 4*q - 14. Let x be n(-6). Let y(j) = 4*j + 3. Determine y(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 5 + (-22687)\/2835. Let j = m - -632\/81. Calculate the common denominator of j and -53\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*h**4 - 1 + 32*h**4 + 249*h**2 - 248*h**2 + 44*h to the form w*h**2 + b*h**4 + s*h + d + y*h**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 552 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, v: 2}. Give prob of sequence xv.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1600*m - 246816. Determine i(-154).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 6, p: 4, j: 2}. Give prob of sequence zj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 4*q**2 + 4*q - 6. Let d be ((-2)\/(-4))\/(7\/70). Suppose -d*z + 5 = 3*r - 6, 25 = 4*z - 3*r. Calculate the lowest common multiple of i(z) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*(-15)\/((-255)\/119)*(-2)\/14.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 14979 = -j, -5*j + 10*j = -4*w + 14991. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 19. Let y(d) = -7. Let n(t) = 3*h(t) + 8*y(t). Let s(q) = 7*q - 3. What is -5*n(w) - 2*s(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (158\/8)\/(4\/(-16)). Let i = t + 104. Is 25 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*402\/335.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4. Suppose n + n = u. Suppose 0*j - 2*j - 6 = n, -3*s = 2*j - 18. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 3*o**2 + 3. Suppose 3*w = -4*y - 23, 2*w = 2*y + w - 1. Let s(q) = -4*q**2 + 4. Determine y*s(n) + 3*r(n).\nAnswer: -3*n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 4)*5\/2. What is the highest common divisor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9229, 9231, 9233, 9235, 9237?\n\"Answer: 2*i + 9227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 1:48 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 9:30 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*j + c, -94 + 120 = 5*j - c. Let r = -0.01 - 0.29. What is the closest to j in r, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23588 - -5?\nAnswer: -23583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 39. Let l = j - -14. Suppose -93 = -l*q + 5*p, -q = 4*p - 5 - 48. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9851 by 6742.\nAnswer: -9851\/6742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -4) + -20 + 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 2*y**3 + 3*y**2 + 3*y**2)*(3020 + 60*y - 3020).\nAnswer: 120*y**4 + 120*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49, -50, -49, -46?\n\"Answer: k**2 - 4*k - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -532 or -3150\/2999?\nAnswer: -532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 93?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16b58 (base 13) to base 5\nAnswer: -2344200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4380 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061255 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 0*d - 4*d**2 + 0*d**3 + 0 + 0*d**4 - 7\/60*d**5 - 1\/120*d**6. Calculate n(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -532813990512?\nAnswer: -532813990531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*j*y - 51254*j - y + 252800 wrt j.\nAnswer: -4*y - 51254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130242.063 rounded to the nearest one thousand?\nAnswer: -1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*v**4\/2 + 2995*v**3\/2 + 19195*v**2 + 41050*v + 16796 = 0.\nAnswer: -26, -19, -2, -34\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r - 2*r - 63 + 95 - 31.\nAnswer: 12*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6459 - 6435 - 10*x**2 - 6*x**2 as l + p*x**2 + c*x and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/6 - (-6)\/12. Let x = 35 + -6. What is the remainder when x is divided by j\/(-3 - 176\/(-60))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t - 16 = -4*y, 3*t + 8 = 4*y. Let j(a) be the second derivative of 1\/3*a**3 + 6*a + 0*a**2 + 0. What is j(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*b + 17*b - 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5917b (base 16) to base 5\nAnswer: -43134143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*j**2 + 21*j**2 + 26*j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 21 = -5*d + g, -3*g = -12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 10*s - 6. Let d be x(8). Let a(t) = t**2 - 5*t - 47. Let j be a(d). Solve 0 = -o - 2*m + j, o + m = -4*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 3*p - 3. Let s = 6 + -6. Suppose -z - 31 = -5*k, s*z + k - 17 = 2*z. List the prime factors of i(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/4 + 13\/2*h + 1\/4*h**2.\nAnswer: (h - 1)*(h + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f*f\/(((f\/f**(2\/9))\/f)\/f))**(-3)\/(f\/(f\/(f**8*f))*f*f*f*f**3) assuming f is positive.\nAnswer: f**(-101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 16, u: 2}. Give prob of picking 2 s.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -69 + 10*w + 10*w + 2*w + 5*w**2 - 2*w. List the prime factors of x(4).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2045 - 2045.039. Let v(i) = i**2 - 16*i. Let b be v(16). What is the second biggest value in -1\/3, b, z, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from {s: 3, o: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82111197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -145*v + 203. Let i(l) = l - 2. Let c(p) = 174*i(p) + x(p). Let d be c(5). Which is greater: -6\/35 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46.10067066 + -7.1006696. Let c = -2314 + 2275. Let a = c + m. What is a rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2d7e (base 15) to base 11\nAnswer: -73a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14993.9 and -139.\nAnswer: -2084152.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*o*r**4 - 2*o*r**2 + o + 3*r + 35 wrt r?\nAnswer: -1236*o*r**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (sqrt(2)*2 + -4) - sqrt(162)*1 - ((sqrt(140)*2)\/sqrt(10))\/sqrt(7).\nAnswer: -12*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s. Let i(r) = r**3 + 9*r**2 - r - 4. Suppose -37 = 4*v + 2*u - u, 3*u + 12 = -v. Let g be i(v). Sort g, s, 4 in decreasing order.\nAnswer: g, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 0) + -3 + 2. Let n be 2 - (x + 3) - -24. Let s = -16 + n. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*a + 16*a + v - 339, -a = 5*v - 359. Calculate the remainder when a is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10036?\nAnswer: 2, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6 - 0. Suppose -i - 14 = 5*x. List the prime factors of (5\/x)\/(16\/(-384)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7379*r**2 - 11893*r**2 - 6 + 6 - 21139*r**2.\nAnswer: -25653*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsbbbbbbbbbbb. What is prob of picking 1 s and 1 b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 - 150 + 669*k + 453 - 152 + 651*k - 1322*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 divided by 42798?\nAnswer: 467\/42798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -409, -1668, -3775, -6736, -10557, -15244, -20803?\n\"Answer: -h**3 - 418*h**2 + 2*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9912.08ng?\nAnswer: 0.00991208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14321 - -40221033?\nAnswer: 40240404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 4, 1 in descending order.\nAnswer: 5, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(6\/11))**(-9\/2)*i**(-1\/18)\/i*i*i\/(i\/i**(19\/2)))**(-6\/23) assuming i is positive.\nAnswer: i**(-493\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 50\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**26\/v*v\/v**13*(v\/v**25*v)\/(v*v*v\/(v\/(v\/v**10))*v))**(-3\/10) assuming v is positive.\nAnswer: v**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 5*p + 3*p**2 - 2 + 1\/3*p**3. What is the units digit of r(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-51)*(-246)\/205.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(7\/(-15)) - 0\/(-3). Solve 2*o + o + 2*z - i = 0, 20 = 4*o + z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 * -0.706\nAnswer: -24.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and -53186.\nAnswer: -53195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**5 + 1725*y**4 + 157435*y**3 + 2713515*y**2 + 2557800*y = 0.\nAnswer: -203, -120, -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d + 42*d = 0, 0 = 2*g - 0*d - d + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350605221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 18. Suppose 2*a = -2*a - 2*k + 2, -4*k = 4*a + 4. Calculate the highest common divisor of a and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 23, 25, 27?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 2 = -h - 16, -3*t + 5*h + 5 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.45? (a) -1\/11 (b) -17 (c) 569\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -921733, -921770, -921837, -921940, -922085, -922278, -922525?\nAnswer: -922832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**3 + 3*g**2 - 4*g. List the prime factors of d(3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) - (sqrt(360) + sqrt(360)*-2))*2)\/((-4*sqrt(20)*2)\/sqrt(4)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 6*x - 1. Let f be ((-2)\/(-4))\/((-1)\/(-10)). Let i be n(f). Solve 0 = z - 1, h - i*z = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3114 (base 13) in base 4?\nAnswer: 1221321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103750440.\nAnswer: 2, 3, 5, 864587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 149, 202, 251, 296, 337, 374?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109448291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/9495 and -5\/153.\nAnswer: 161415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2680107881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 9:38 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -8615197 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tftg when four letters picked without replacement from nttgpffxtfft.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 10:31 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00956402278 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(5)*3) - (2 + sqrt(153)).\nAnswer: -8*sqrt(17)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2263 divided by -2\nAnswer: -2263\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777817.\nAnswer: 777817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/3*2064\/10234.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 250745179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4533*c = 4565*c - 224 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 + g**2 - 2*g - 1. Let s = 0 - -3. Suppose 25 = -5*b - 3*d - 2*d, s*b + 2*d + 12 = 0. Give x(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/13)\/(18\/(-234))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-77)\/(-154)*2\/4)\/((-14)\/6))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, a: 1, m: 1, v: 1, n: 1, s: 1}. Give prob of sequence xns.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (175\/15)\/7*(-84)\/(-490). Let i = -499\/22 + 45\/2. What is the closest to t in i, -0.5, -5\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**6\/90 + y**5\/180 + y**4\/36 + y**3 + 3. Let b(r) be the third derivative of k(r). Find p such that b(p) = 0.\nAnswer: -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/49 and -1\/287.\nAnswer: 2009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1516, -3116, -4716, -6316, -7916?\nAnswer: -9516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = 0, 0*p - p - 9 = -b. Calculate the greatest common factor of 21 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bac40 (base 13) to base 11.\nAnswer: -211124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60198*z**3 + 102376 wrt z.\nAnswer: -180594*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j + 135. Suppose 1 + j = 4*q. Let s = -6 - -10. Solve -s*i = 3*b, 3*b - b = -5*i - q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 36.46723 millilitres?\nAnswer: 0.03646723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)*-4)\/(-1*sqrt(96) + sqrt(96) - (sqrt(96) + sqrt(6))*4).\nAnswer: 8*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(114)\/sqrt(6))**2*6.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 532?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-14)\/(-8)*(-96)\/112\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -315 (c) 2 (d) -54 (e) 0.5 (f) 6 (g) -22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34.015 + -34. Let v = u + 0.285. Let q = -0.1 - -0.2. Which is the second biggest value? (a) q (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a factor of 1621422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.2119 - 3.82149. Let i = -64.61 + 64. Let p = l - i. What is p rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44162.078 to the nearest 100.\nAnswer: -44200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 10:36 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46962 and 3031658.\nAnswer: 27284922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27121862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -423*f + 22562. Determine s(53).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4414422414 - -11?\nAnswer: 4414422425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48206321 to the power of 1\/2, to the nearest integer?\nAnswer: 6943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.17378ng to milligrams.\nAnswer: 0.00002217378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - (1 - 8)) + -9. Let f(d) = d**2 + 8*d + 3. What is f(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/45)\/(36\/(-15)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -191*o + 1116. What is f(6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300789461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 44042 = -44072 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5 - 8*a**4 - 2*a**3 + 12*a**2 = 0. What is a?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -679, -3044, -8771, -19540, -37031, -62924, -98899?\n\"Answer: -280*q**3 - q**2 - 402*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 1 (c) 0.041 (d) 0.056 (e) -5 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 7:13 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 0.5, -0.3 in descending order.\nAnswer: 31, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let i(q) = 1311*q**2 + 46*q + 5. Let r(n) = 656*n**2 + 18*n + 2. Let v(z) = -2*i(z) + 5*r(z). Give o(v(u)).\nAnswer: 658*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**8\/840 + p**5\/12 + 4*p**3\/3 - 6*p**2. Let j(k) be the first derivative of n(k). Find the second derivative of j(b) wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56908 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1072*h + 12868. Let s be m(-12). Suppose -i = 3*i + 16, 3*i = -a - 16. Sort s, a, 1, -1 in decreasing order.\nAnswer: s, 1, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*d**3 + 56*d - 56*d + (0*d + 0*d - 2*d**2)*(0 + 0 + d) + (4*d + 2*d - 5*d)*(33*d**2 - 14*d**2 - 38*d**2) + 0 + d**3 + 0.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 2*z**2 + 3*z + 6. What is the units digit of c(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -226 - -229. Solve s*d + 21 = 10*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (2 - 2)) + -5 + 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 7 + -4 - ((5 - -4) + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/5 of a century?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 144*w**2 - 53*w - 553. Is h(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2685*i**3*m - 63*i**2 + 2*m + 2296523 wrt i?\nAnswer: 8055*i**2*m - 126*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 18*u**4 - 2*u**3 + u**2 + 361. Let w(c) = 73*c**4 - 9*c**3 + 4*c**2 + 1445. Let k(l) = -9*n(l) + 2*w(l). Find the first derivative of k(b) wrt b.\nAnswer: -64*b**3 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 100476 - 4*x - 2*x - 100448. Calculate a(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -384a614?\nAnswer: 384a60c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 586*h**2 - 1 + 97*h**2 + 151*h**2 - 97*h**2 to i*h**2 + n*h + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52344 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 21*b**2 + 8*b - 17. Let j be v(-10). What is the hundreds digit of (j\/((-3)\/898))\/(-10 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/3230 and 3\/8?\nAnswer: 12920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**3*s**3 + 8*k**3*s**2*w + 66*k**3*s + 4*k**2*s**3*w + k**2*s**3 wrt w.\nAnswer: 8*k**3*s**2 + 4*k**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0073092 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4801888 is divided by 2400923.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20161\/2 - -10081. Let o = 3.4 - 3. Let n = -0.7 + o. What is the second biggest value in v, n, -0.5, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -184*g + 189*g - 4805. Let k = 966 - g. Let c = -22 + 10. Put -3, c, k in ascending order.\nAnswer: c, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 625256*i**3*p - 3*i**2*p - 2*i*p - 463*i - 62*p + 2 wrt i.\nAnswer: 3751536*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.35594 centimeters in kilometers?\nAnswer: 0.0003035594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -176.9 times 0.1?\nAnswer: -17.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - (40 + -28)) + -33.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 26 = 2*z, 2*g - g + 3*z - 19 = 0. Suppose 2*n = g*n - 4. Suppose f = 3*o - 175, 2*o - 236 = -n*o + 4*f. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11737102 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f**3 + f**2 - f + 8. Determine x(-3).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -1\/2*i**2 + 0*i + 63\/4*i**4 + 9*i**3 + 17. What is the third derivative of d(g) wrt g?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51555*q - 103038*q + 51519*q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4087 = -3*m, 2*m - 664 = -3*b + 2070. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 101, 298, 579, 944, 1393?\nAnswer: 1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-190)\/(-114))\/((-1)\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6958.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 16. Let u be p(0). Suppose 0 = 5*v - o - 29, 4*v + o - u = -0*v. Calculate the remainder when 10 is divided by 3\/(-3)*(-1 - v).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w, -2*y - 3*y - 5*w + 165 = 0. Suppose 0 = -3*f - 2*i + 108, -88*i = f - 90*i - 36. Calculate the lowest common multiple of y and f.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - 1 - 0 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -161333.09 - -160642. Let y = h - -692. What is the closest to y in -1, -0.1, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeee. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 3. Suppose -5*d + 9*d + 4 = 0. Let h = 10 - d. Let m(c) be the first derivative of 3*c**2 + 16*c + 1. Give h*v(s) - 2*m(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6440)\/(-10500))\/46)\/(3\/(-20))*10\/4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-945)\/(-12))*(-6)\/(-4).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 26*r + 745 + 31, -2*a = -0*r - 4*r + 60 + 62 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 8*w + 8*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from {s: 2, f: 1, y: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5150390 and 3910?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -148\/5. What is the fourth biggest value in -3\/4, -3, -0.05, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13433020 to the power of 1\/2, to the nearest integer?\nAnswer: 3665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 4\/9, 0.3, 0, -0.2, -2, 0.2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119 + -119. Factor 6*s + 8*s**2 - 5 + 1 - 10*s**2 + q*s**2.\nAnswer: -2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - l**3 - l**3)*(-6*l + 2*l + 3*l)*(-21 + 12 - 13 + 4 - 6 + 0 + (6 - 1 + 0)*(3 - 5 + 3)).\nAnswer: -76*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-20) - (-6)\/(-15). Let r be (-12)\/60 - (n + (-2)\/10). Let k(t) = 5*t. Let b be k(r). Let h(z) = -z**3 + z**2 + 4. Calculate h(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2988?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - (-3)\/(-3)) + -5. Sort -13, l, -1 in ascending order.\nAnswer: -13, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 15, 5*i + 2*q + 8 = q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -10057?\nAnswer: -5\/10057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40086 = 683*f - 700*f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 + 34*f\/5 + 48.\nAnswer: (f + 10)*(f + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -265, -322, -365, -388, -385, -350, -277?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p**3 - 83*p**2 + 14*p + 29. What is z(14)?\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2143\/981 - 8\/109. Find the common denominator of c and -5 - (1795\/(-165) - -4).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/18 - 26170\/(-9). Let o = -4726 + t. Let k = -1033 - o. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 224659*q**2 + 2*q + 5317 wrt q?\nAnswer: 449318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-6))\/v*v*v**1*v*((v*(v\/(v*v*v**(-1\/4)))\/v)\/v)**(-3\/10))\/((v**(-2)*v*v*v*v**(2\/19)*v)\/(v**(1\/4))**17) assuming v is positive.\nAnswer: v**(-251\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293, -346, -399, -452?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6930 and 21978?\nAnswer: 769230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72565 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -139, -366, -757, -1312, -2031?\n\"Answer: -82*w**2 + 19*w - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + 59*y - 559. Calculate z(-37).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4 - 11 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-7)*z)**36 assuming z is positive.\nAnswer: z**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 + 107. Let s(t) = 8*t - 45. Let q be s(6). Solve 2*f + n - 1 = -6, -p*n + 21 = -q*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/100 and -47\/70.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -1 + 0 - -7. Let f(k) = k**3 - k**2 + h*k**2 - k**2 - 3 - 8*k. Suppose x + 14 = 2*d, -d - 26 = 3*x - 12. What is f(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2520\/525*(-15)\/(-12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -47 - 2*m**2 + 3*m**2 + 47. Let s(j) = -3*j. Give t(s(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/23)\/(((-18)\/(-8))\/(12\/(-24)))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(-1\/5)\/i)\/i))**(-3\/4)*(i*i*i\/(i**(3\/5)*i))\/((i**(6\/11)\/i)\/i) assuming i is positive.\nAnswer: i**(5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4124896.69767 - -4124932. Let i = 0.64067 + t. Let r = i + -36. What is r rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(-1) - 27\/(-36).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 20*s**2 + 5*s + 17. Let h be q(19). Let f be ((1 - 0)*-4)\/(-2). Suppose -5*g - 195 = -2*x, 5*x + 0*x - h = -f*g. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-10)*115\/23.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*u + 11066 - 986 = 0 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*n + 2. Let w be 310\/145 + 5\/((-5)\/2). Is n >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 9. Let x be f(-15). Let p = 10 - x. Suppose 0 = -p*r + 117 - 41. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5 = -3*c, -5*c + 2*t = -4 + 2. Suppose v + 3*v - 160 = c. Suppose -m + v = 4*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 1:33 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 + 1535*w - 9219\/2.\nAnswer: (w - 3)*(w + 3073)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyddvmydyyyyyvyyj. Give prob of picking 1 m and 1 d.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(4500))**2 + 5 + (sqrt(180)*-2 - (sqrt(45)*1)\/sqrt(9)) + 2.\nAnswer: -13*sqrt(5) + 4506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -60. Suppose -2*z - v = -5*z. Calculate the lowest common multiple of -1*392\/(-24) - 2\/6 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**3\/7 + 954*l**2\/7 - 66482*l\/7 + 27258 = 0.\nAnswer: -539, 3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 17. Let s = z - 15. Which is the nearest to 0.1? (a) -1\/3 (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-4))\/5*(-7)\/14\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by 2992\nAnswer: -13\/374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1003303 - -1130?\nAnswer: 1004433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 12. Suppose -2*y = -2*w - 3*w - 41, -3*w + 69 = 4*y. Solve i*r = -3*h - 0 - 1, 3*r + y = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 31*l**2 + 73*l - 64. What are the prime factors of s(-34)?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwzoozwzmwa. Give prob of sequence zzw.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b - 115. What is h(-16)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -99998*x + 2. Let p be a(-1). Round p to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.35 + 2.85. Let u be 8\/6*9\/6. What is the closest to 0 in -3, u, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)\/g*g\/g**5)**(-1) assuming g is positive.\nAnswer: g**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14445981 and 891?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**5 + 0*h**5 + 4*h**5 + (2*h**4 + 2*h**4 - 3*h**4)*(1258 - 1258 + 103*h).\nAnswer: 102*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a kilogram in grams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 3*o**2 + 3*o - 4. Let h be u(-5). Suppose k - h = 5*z - 3, -4*z = 3*k + 11. Let t = 2 + k. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -29, -1, -3 in decreasing order.\nAnswer: 5, 0, -1, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r + 1. Let y(d) = -45*d - 155. Let q = -279 + 273. Let k(i) = q*b(i) + y(i). What is the derivative of k(m) wrt m?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*i - 4, 2*l - 10 = 6*i - i. Sort i, -142, -4 in ascending order.\nAnswer: -142, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*((-12)\/(-48))\/((-2)\/76))\/((-6)\/(-24))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (-1*sqrt(171) - sqrt(171))*6).\nAnswer: -8 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*40\/15.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9437398 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2089 - -2084. Sort -3, 3, -2, 2, k.\nAnswer: k, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 64?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 422894059967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from {e: 5, n: 1, d: 5, q: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.38 - -0.68. Let l = 24.1 + -21.1. Which is the closest to 2\/7? (a) -4 (b) l (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016644388 take away 723.23?\nAnswer: -723.246644388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04 from -19.932.\nAnswer: -19.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1011221 (base 3) to base 12\nAnswer: -5ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtusdttudstddsuu. What is prob of sequence tt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93 - 112*h**5 + 294*h**5 - 71*h**5 - h**2 - 111*h**5 + 2*h**3 - 570*h**6 wrt h.\nAnswer: -68400*h**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/7)*b)**(2\/93)*((b*b**(-1\/5)*b)\/b)**(2\/11) assuming b is positive.\nAnswer: b**(2176\/11935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.037719 less than 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*o + 42 = 6, -4*h + 48 = -2*o. Solve h = 2*n + n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (48*v**2 - 48*v**2 - 4*v**3)*(-139 + 730 - 105) to the form k*v**3 + i*v + r + b*v**2 and give k.\nAnswer: -1944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4\/(w\/((w\/w**(4\/7))\/w)))**41)**(21\/5) assuming w is positive.\nAnswer: w**(2091\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 409, 1606, 3591, 6358, 9901, 14214, 19291, 25126?\n\"Answer: -u**3 + 400*u**2 + 4*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*d**2 - 35*d**3 + 44*d**2 - 8*d**3.\nAnswer: -43*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 3:41 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g = 3*y + 379, -3 = y. Calculate the remainder when g is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 4:48 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3247128 by 541188.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in 0.1, 2, -11\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*y - 45. Let l = -5 - y. Suppose l = -x + 6. Solve -4*p = c + 9, 2 = -x*c - 2*c + p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s**2 - 23*s - 1. Let b be v(-1). Let z(d) = d**3 - 12*d**2 - 10*d - 9. Determine z(b).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-17 - (12 + -18)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -681, -938, -1195, -1452, -1709, -1966?\nAnswer: -2223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (3 - 2)) + -5 - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8691, -18027, -28007, -38631, -49899, -61811, -74367?\n\"Answer: -322*d**2 - 8370*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejeeefeeeefefeeeej. What is prob of picking 2 j and 1 f?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**4 + 1811241*h**2 + 104692919 wrt h.\nAnswer: -8*h**3 + 3622482*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 53040 divided by -3\nAnswer: -17680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**2 - 13. Let l(q) = -2*q**2 + 7. Calculate -7*l(k) - 3*w(k).\nAnswer: -k**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 46 - 211 = 0. Suppose -7*d + 36 = s. Solve 5*l + 5 = -3*j, 2*l + 0*l = -d*j + 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 4 = -9*q. Let x(j) = j**3 - 7*j**2 + 7*j. Calculate the lowest common multiple of q\/(-8) - (-150)\/24 and x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15531, 62523, 140843, 250491?\nAnswer: 391467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 10:11 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**2 + n**2 + n**2)*(34 - 34 + 42*n)*(-53*n - 48*n + 88*n - 3) in the form y*n**2 + k*n**3 + b + a*n + c*n**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*b - 499 = 2*b, -5*b = 3*q - 479. Let l = q + -160. Solve a + k - 1 = 0, l*k + 4 = -k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/6 - 1157*a + 6943\/6.\nAnswer: -(a - 1)*(a + 6943)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 18 = -8*t. Are t and 2\/387 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - o - 648 = -4*b, 1282 = 4*b + 5*o. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6}. What is prob of picking 3 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (520\/(-105))\/(3352\/70392).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4620, -4544, -4336, -3930, -3260?\n\"Answer: 11*m**3 - m - 4630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2919 * 1.4\nAnswer: -0.40866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2 - y + 2. Let m(p) = p**2 + p. Let r(j) = 2*m(j) + x(j). What is w in r(w) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 68*p + 78*p - 25*p - 14. Calculate the least common multiple of 12 and q(-4).\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 396\/89 - -1959\/1780. What is the common denominator of 29\/970 and u?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 173\/141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5*y = y - 4, -4*y = -4*i - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3) + 724\/12. Let t be -1 - 1 - z\/(-2). Suppose -3*g - 3*k = -21, 4*g - t = -8*k + 3*k. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1065.18 and 0.02?\nAnswer: -21.3036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 372397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uugu when four letters picked without replacement from gguwguuggggwgwgu?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l = 7563 + 5527. Let k = 334 - l. Is -49 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2200.\nAnswer: -1\/1100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w**2. Let h(t) = -12*t + 37. Let f(s) = -7*s + 19. Let a(l) = -5*f(l) + 3*h(l). What is a(m(v))?\nAnswer: 6*v**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 12426, 4, 10, -7 in ascending order.\nAnswer: -7, 4, 10, 12426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 6*z + 3. Let i be s(6). Let b(f) = f**2 - 4*f + 3. Let n be b(3). Factor n*k**3 - 3 + 3*k**2 + k**i - 1.\nAnswer: (k - 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1591 and 1333?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/7)\/((-75)\/12)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4603532 * 1.4.\nAnswer: -6444944.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.038 * -19022.\nAnswer: -722.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 28510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13057795613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 823*m + 15047782 = 969*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 68397152 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47 - -40?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c5 + -c?\nAnswer: -4d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-3)\/(-15))\/(-3*551\/435))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7745307 + 4?\nAnswer: -7745303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 3*r + 4*u, 8*r = 9*r + 4*u - 74. Let o = -1 + r. What is the remainder when o is divided by (10\/6)\/((-2)\/(-18))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggggygggygy. Give prob of picking 2 y and 1 g.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-4)\/((-68)\/187)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -127829 * 13.1.\nAnswer: -1674559.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 12643 = -36*q + 6215 + 9449 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 192? (a) 8\/7 (b) 0.6 (c) 1\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3022.\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -4, -27, -70, -139, -240?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o - 2. Let q be d(2). Let c(a) = -4*a**3 - 6*a**2 + 1. Let f be (-11)\/(-22)*-14 + 8 + -6. Let v(n) = -4*n**3 - 5*n**2 + 1. Give f*c(h) + q*v(h).\nAnswer: -4*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -15 + 66. Let g be h\/3 - (-3)\/(6\/4). Does -15 = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 777.82 and 0.06?\nAnswer: 46.6692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-2)\/2) - (2394\/162 - 15). Let v = -1 - 3. What is the nearest to 1 in b, -5, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -26923?\nAnswer: -26922.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1508 = 4*w, -w + 4*x + 13 = -381. Calculate the greatest common factor of 108 and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 732 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5771*r**2 - 3331*r**2 - 3182*r**2)*(-4 + 2*r**2 + 4 + (-3*r + 2*r + 3*r)*(-3*r - r + 2*r) + 0*r**2 - 4*r**2 + 2*r**2 + 5*r + r**2 - 5*r).\nAnswer: 2226*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -6. Suppose -42 + 14 = -z*p. Let i be 0 - (1 - 9\/p). Sort i, -1, -5 in descending order.\nAnswer: i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxxxxxxixxxxixxxxx.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**4\/8 + 4*j**2. Let x(w) = -w**2. Give m(x(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 4\/159 (c) -2\/7 (d) 3\/4 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**6\/2 + 9*v**5\/5 + 51*v**4\/4 - 27*v**3 - 78*v**2 + 180*v + 351. Suppose c(r) = 0. Calculate r.\nAnswer: -3, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 (base 8) in base 14?\nAnswer: -11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -4, -218, -47?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 99 = -5*a, -3*a - 19 + 72 = g. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 + 7*r + 48 + (0 + 4 - 5)*(3*r - 6*r + 2*r) + 3*r - 4*r - 2*r to the form u*r + y and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 172986 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z**2 + 3*z + 5*z**2 - 3*z - z**3. Let o be p(-4). Does o = -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*d - 9*d + 0 + 18*d - 2 + 9*d**2 as h + m*d**2 + b*d and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62617, -125261, -187919, -250597, -313301, -376037, -438811?\nAnswer: -501629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**3 - 8 + 8\/3*g + 2\/3*g**4 + 6*g**2 = 0. What is g?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 14*k**3 + 57*k**2. Let l be -9 + (0 - 3 - -1). Let y(w) = 7*w**3 + 29*w**2. Let c(j) = l*y(j) + 6*u(j). Find the third derivative of c(i) wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436283 to the power of 1\/2, to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 2*o**6\/13 - 46*o**5\/65 - 11*o**4\/26 + 18*o**3\/13 + 5*o**2\/13 - 8*o\/13 - 191. Suppose b(r) = 0. What is r?\nAnswer: -1, -1\/2, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 12 = -2*i. Suppose 0 = 2*h + 10, -2*h = 3*a + 3*h + 22. Calculate the lowest common multiple of a and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 287 and 2110229.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 119768.02?\nAnswer: -718608.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 416.237 - 417. Let f = l - -62.563. What is f rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/9)\/(6526\/(-2259))*4\/2?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38688 * 24.\nAnswer: -928512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 29, -0.04, 0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-48 + 5 - 7)*(-2*n + 3*n - 3*n) in the form r + i*n and give i.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 23 (b) 0.33 (c) 1 (d) -606\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/9*42\/(-196). Does 0 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34181 - -34184. Which is the closest to -0.1? (a) s (b) -22 (c) 20 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (3 - 2) - (7 - (-13 + 17))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 4*b + 6. Suppose -2*t = 4*v + 24 - 4, 3*v - t = -15. Let x(r) = -r**2 + 3*r + 5. Let c = -2763 - -2769. Determine c*x(l) + v*i(l).\nAnswer: 4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**2 - 1. Let q(r) be the first derivative of -4*r**3\/3 - r + 3. Let w be 4\/(-6) - (-3 - 8\/12). Determine w*m(o) - 4*q(o).\nAnswer: o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/((-2)\/(-28)))\/(4\/(-6)). Let b = -27 + t. What is the common denominator of ((-260)\/18 - -4)\/((-20)\/b) and 133\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 92280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.661 rounded to one dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14852, -29083, -43312, -57539, -71764, -85987, -100208?\n\"Answer: p**2 - 14234*p - 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -0.5, 0.01, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 66*z**2 - 52*z**2 + 7 + 5 - 1 to c*z**2 + h + n*z and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -13*x**3 + 4*x - 7. Let q(v) = 6*v - 11. Let f be q(4). Let a(o) = -28*o**3 + o**2 + 7*o - 16. Let g(u) = f*r(u) - 6*a(u). Calculate g(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 13*c**3 - 729*c**2 + 3366*c + 26. Calculate w(51).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 848672 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**3\/3 - 49*i**2\/2 + 102*i + 560. Determine u so that o(u) = 0.\nAnswer: -51, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11987 (base 12) to base 14\nAnswer: -89a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/47 and 56\/5.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c**2 - 3*c**2 + 4*c**2)*(-c + 15 - 15) + (2*c + 2*c - 2*c)*(0 - 2 + 0)*(2*c**2 + c**2 - 5*c**2) as q*c + n + w*c**2 + o*c**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1 - 2 + 0 - 5*p + 0*p + 7*p**2 + 9*p**3. Is k(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4\/3 + 40*f**3\/3 - 130*f**2\/3 - 280*f + 735 = 0. What is f?\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(7) + 5)*3 - (0 + (sqrt(7) - (sqrt(7) - sqrt(7)*-2)))) + (sqrt(35) + sqrt(105)\/sqrt(12))\/(sqrt(20)\/(sqrt(4) + sqrt(4) + sqrt(4)*-1))))**2.\nAnswer: 780*sqrt(7) + 2083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 237 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010153 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -20*l + 2. Let h(w) = -w. Determine a(c) + 2*h(c).\nAnswer: -22*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(18\/(-42)) + -3. Let a(b) = b**3 - b**2 + 1. Let m be a(1). Solve x - m = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 488 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6*(21\/(-28))\/((-8)\/(-1392)*-27)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (7 + -1 + -27 + (-29 - -38)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 13*i**2 - 28*i + 189. What is g(14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -2*i + 5\/2*i**2 - 14. Suppose 8*n - 3 = 5*n. Let k(y) = -y. Give n*s(c) + 3*k(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*v = -6, 5*v = -5*k + 6*k - 2. Solve 0 = o + 2*a - 4*a + 3, 18 = 2*o + k*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -446\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 6. Let h(g) = 2*g**3 - 29*g**2 - 17*g + 21. Let d be h(15). Determine n(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2*y = 13, 8*z + 10 = 3*z + 5*y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10639, 21312, 31971, 42622, 53271, 63924?\nAnswer: 74587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 = -7. Let f be 0\/(0 + 0 + 1). Let y = f - -8. Solve -y*a + g*a = -25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -314 - 306 + 619. Let g(f) = f**2 + 7. Calculate -4*g(h) - 28*s(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 5, -729, 32, 4 in descending order.\nAnswer: 32, 9, 5, 4, 2, -729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o - 11702*o**2 + 11704*o**2 + 26*o in the form m*o**2 + c + z*o and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.1 (c) -4\/113 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -48.\nAnswer: 13\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24169530 by -770.\nAnswer: 31389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 6*x + 9. Let c be q(5). Solve 9 = c*a + 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11464.7 times -1.07\nAnswer: -12267.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 - 2*n. Let l = -1 - -2. Let f(q) = 3 + q + 35*q**2 + q**3 + 2 - 36*q**2 - 4. What is l*c(k) + 2*f(k)?\nAnswer: 2*k**3 + 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2113961.2490433 plus 0.5?\nAnswer: 2113961.7490433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -111?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136*k*y**4 + 194*k*y + 3828*k - y**4 - 11 wrt y.\nAnswer: 544*k*y**3 + 194*k - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 25 - 35 = -4 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8844 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 837 * -5.\nAnswer: -4185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzv when three letters picked without replacement from kkzkvkkkkzkzkzzkkzkz?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0 + 0)*(-2 - 14 + 2)*(-5 + 1 + 1 + (-3 + 2 + 3)*(-4 + 0 + 2))*(3*i - i + 0*i).\nAnswer: 196*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/126*7)\/((-3)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 2*s**2 - 2*s**2)*(-3*s - 5*s + s)*(3*s - 6*s + 2*s)*(2 + 4 - 4) + 0*s**4 - 2*s**4 + 3*s**4 - s**4 - 2*s**4 - 2*s**4.\nAnswer: 38*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-18\/7)*d**(-1\/13)*d*((d**12\/d)\/d)\/d*d\/((d*d**(-2\/97))\/d) assuming d is positive.\nAnswer: d**(128125\/8827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g + 59*g - 107*g = 5*v + 5, v - 19 = -4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*b - 61. Let t = b - 8. Solve 5*p - 10 = 5*i, 0*i + t*p - 4 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4448579573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 5. Let n be w(0). Find the third derivative of -h**4 + h**2 - 3*h**4 + 4*h**4 - 3*h**n wrt h.\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbzz when four letters picked without replacement from {y: 1, b: 3, i: 3, z: 3, v: 2, r: 2}?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a + 8. Suppose 0*k - k = -h - 1, k + h + 5 = 0. Sort k, a, -7 in descending order.\nAnswer: k, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-162\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-440)\/165*(-3)\/2 + (-4)\/1. Suppose -2*h - 5*j + 31 = 0, -4*h - 2*j - 4 = -26. Suppose 0*w + 24 = -h*b + w, -3 = w. Which is greater: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 1. Let k(h) = h**2 - 9*h - 1. Let x be k(9). Let s(z) = -3*z + 1. What is x*s(d) + f(d)?\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1236328 and 85264.\nAnswer: 2472656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 343404016 to the power of 1\/2, to the nearest integer?\nAnswer: 18531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7482 is divided by 2451?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-16)*(-8)\/(-22). Suppose -3*w - 15 = 2*w + 5*t, 0 = -5*w - 4*t - 12. Which is the nearest to -1? (a) q (b) w (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 3*s - 2, -5 = a - s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j - 24. What is the units digit of c(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12478?\nAnswer: 2, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*v = -2*z - 33*v - 34, 4*z - 6*v + 68 = 0 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 965*c**2 + 135*c + 145. Let b be r(-1). What is the highest common factor of b and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 3\/17 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19671 and 498.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 366, 345, 320, 291?\n\"Answer: -2*g**2 - 15*g + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y. Let q(a) = 545*a**2 + 5388. Determine r(q(x)).\nAnswer: 1090*x**2 + 10776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 261*j - 260. Let w be x(1). Let o = -1 + 1. What is the nearest to w in 1, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 2844177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m = 29*m - 116. Solve m*j - 76 = 69 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -21*s + 7*s + 13*s. Suppose -1 - 1 = 2*z. Calculate n(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -2*l + 1787. Let j be (-800)\/(-4) - (2 - 0). Let q = l - j. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 3*p**2 - 6*p - 6. Let a be i(-4). Suppose 3*f = -4*v + 45, -2*f = -a*v + 3*f + 29. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58 - (-38 - -17) - 5) + (13 - 1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117\/3 + -1 + 2\/(-1) and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.98 in 2\/5, 4.6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002475 to 7 dps.\nAnswer: -0.0000248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.41181 rounded to one dp?\nAnswer: -28.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 2*-1)*-1. Let r = -65013.4 - -65016. What is the third smallest value in r, -2, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53814609 to the nearest integer?\nAnswer: 7336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1116398*b**2 + 142014*b - 2 wrt b.\nAnswer: -2232796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 8:26 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.118 + 1.882. Which is the nearest to x? (a) 0 (b) -0.4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**2 - 2*u + 1. Let l(k) be the second derivative of -k**4\/12 - 143*k. Suppose -4*n + n + q = 0, 4*n - 19 = -5*q. Give n*t(r) - 3*l(r).\nAnswer: -2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 13*x**2 - 7*x - 5. Is u(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3868*m = -5616*m + 2385*m - 287638 - 301579 for m.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(-5*i + 4*i + 4*i) - 4*i + 2*i + 4*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31923 + -21370. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*n + 30*n - 1857. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (11 + -12 + -7 + 10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, j: 3}. Give prob of picking 2 j and 1 d.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00706 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26243 + -29339677\/1118. Let r = d + -2065\/63726. Let w(p) = p**2 + 2*p - 4. Let z be w(-3). Which is greater: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 550*y**2 + 550*y**2 + 1112 - 1096*y**2 + 61*y wrt y.\nAnswer: 8*y + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498551 is divided by 9767?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q + 3. Suppose 1 + 10 = w. What is the remainder when (215\/10)\/(q\/(-2)) is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.7, -5, 0.5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 11:38 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Suppose -d = -2*j - 14, -j = 3*d + 3*j + 8. Suppose 2*c + 0*c = -d*l + 54, -95 = -m*c + l. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5424, 5385, 5346, 5307?\n\"Answer: -39*g + 5463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2034 + 2033. Is s at most 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171.27909 seconds to days.\nAnswer: 0.001982396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -15*w + 137. Let a be g(9). Solve 3*t + 1 = -3*h - a, 0 = 5*t - h + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.38 + -20.62. Let v = -24 - k. Which is the second biggest value? (a) -2\/13 (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 668 - 677. Let p(c) = c**2 + 9*c - 10. Give p(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**6\/120 + 7*w**5\/60 - w**4\/6 - w**3 - 3*w**2. Let f be u(6). Let s(t) = -f*t + 5*t + 8 + 2*t. Determine s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/48364 and -87\/43870.\nAnswer: 9914620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 15 = -24. Sort x, 0, -2, -3 in descending order.\nAnswer: x, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3570 is divided by 238?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z. Let k(a) = -a - 2. Let d(j) be the first derivative of j**2 + 3*j - 1. Let f = -11 - -5. Let i(g) = f*k(g) - 4*d(g). Give i(v(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6116798*f**5*y**2 - 8*f**5 + 10*f**2*y**2 - 2*f**2*y - 5*f**2 + 48109*f*y**2 wrt f.\nAnswer: 367007880*f**2*y**2 - 480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.7587989ms in weeks?\nAnswer: 0.00000009219378125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133b23 (base 13) to base 16.\nAnswer: -71a2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, g: 5, t: 7}. What is prob of picking 2 t?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.3 - 15. Let x = r + 1.8. Is x < -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -3*b + 0*b**2 + 0 - 1\/10*b**5 + 0*b**3 - 1\/4*b**4. Find the third derivative of r(o) wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.5, 22\/7.\nAnswer: 0.4, 0.5, 22\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 v, 1 t, and 1 k when four letters picked without replacement from tvkazstttzzvzzz.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -81113 (base 10) in base 13?\nAnswer: -2abc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41734761 and 861?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-23)*o**(-5\/7))\/(o**(-17)*o\/o**(2\/25)) assuming o is positive.\nAnswer: o**(-1336\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 - 3 = 8*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4 = -5*c. Suppose -4*r + 72 = 5*j, -3*r = c*r - 2*j - 123. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -17?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (220 - 220 + 4*s)*(6*s - 3*s - s) - 3*s**2 - 3*s**2 + 5*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -6374.\nAnswer: 1\/3187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -0.2 (c) 3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-60)\/16)*(-21)\/(-42)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 10 = 388. Suppose 18*s - 20*s = -p. What is the remainder when 209 is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -587 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 82, 124, 234, 448, 802, 1332, 2074, 3064?\n\"Answer: 6*r**3 - 2*r**2 + 6*r + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -31. Let r = c + -16. Suppose 4*i - 26 = -5*l + 2*i, l + 5*i - r = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0 - 5. Let y = 11 - a. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3814285 and 16450.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -150.8 (b) -22 (c) -7 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, m: 2, z: 1, p: 4, i: 2, k: 1}. Give prob of picking 1 z, 1 p, and 1 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (113*c - 36*c + 31*c)*(-1 - 1 + 36*c - 66*c + 8 - 7*c) as p + u*c**2 + x*c and give u.\nAnswer: -3996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116 - 109. Let c = 16 + -13. What is the least common multiple of x and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.55 times 124.90713\nAnswer: -68.6989215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1119, -1205, -1291, -1377?\n\"Answer: -86*k - 1033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (39\/6)\/((-3)\/6). Let m = -6 - g. Let u = m - -21. What is the greatest common factor of 42 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -4*q + 616. Let i = q - -85. Suppose 4*r - 3*f + 8 = 0, 2*f = -0*f - i. Let t(l) = l**2 + l - 7. Determine t(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 14*a - 71. Let v be y(6). Suppose 21 - 15 = -2*m + 5*j, 2*j = 3*m - v. Solve -3*k + 1 = m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/9 - p**2\/9 - 82*p\/9 - 80\/9 = 0. What is p?\nAnswer: -8, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 14) to base 9\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*6*sqrt(304) - sqrt(304)).\nAnswer: -1 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 g, and 1 b when three letters picked without replacement from {b: 4, v: 2, h: 2, g: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5302\/7 - -758. Which is the third biggest value? (a) -2 (b) -10 (c) 3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 213*b**6\/4 + 4657*b**3\/6 - 131*b**2 + 12*b. Differentiate a(y) wrt y.\nAnswer: 19170*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6711860557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 12:30 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/164673 and -11\/146376?\nAnswer: 1317384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2)\/(2\/4). Suppose -g - 6 = -20. Suppose -2*d = 3*k - g, 0 = l*k - 4*d + 5 + 5. What is the least common multiple of 7 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, g: 4, b: 10}. Give prob of sequence bxxx.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2128 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 620788787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9863, 2883 in decreasing order.\nAnswer: 2883, -4, -9863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 164662227 to the power of 1\/2, to the nearest integer?\nAnswer: 12832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5400 or -5396?\nAnswer: -5396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 11 - 2. Let n = -5 + j. Is 14\/n - (-1)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-4))\/(-3)*4. Which is the closest to 0.1? (a) -1\/8 (b) -0.05 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 32 = 11*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - i + i + (0*i + 2*i - 6*i)*(5*i - 4*i + 2*i) - 15*i + 3*i**2 + 15*i as q + y*i + s*i**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 3*g + 2*g**3)*(-4*g + 4*g - g) + 0*g**3 - 2*g**4 + 0*g**3 + 4 + 2*g**4 - 4 + (-2*g + 2*g**2 + 2*g)*(-3*g**2 + 5*g**2 + 2*g**2).\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/7 of a week in hours?\nAnswer: 1488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 381 + -221. Suppose -m = -3*b - b. Calculate the remainder when b is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202333320 (base 4) to base 9.\nAnswer: -237570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -17. Let t be (1 + -1)*4\/o. Suppose t = -3*j + 2 + 94. What is the greatest common factor of 48 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)\/k)**(-2\/29)*k\/(k\/(k\/k**11)*k)*((k*k*k**26)\/k)\/k)**(-11\/6) assuming k is positive.\nAnswer: k**(-4939\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-1 - (-3 - 5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36528176273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-27)\/((-189)\/30856) - 4?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 45271, -17 in descending order.\nAnswer: 45271, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -902046.\nAnswer: 360818.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109062*l**3*v*x + 2*l**2*v*x - 2488*v*x - v - 497*x wrt l?\nAnswer: -327186*l**2*v*x + 4*l*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**3\/6 + 3*g**2 + g - 1. Let l(h) be the first derivative of p(h). Let r be l(-6). Solve r*t = -t + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x + 3 + 1 + 4 + 0. List the prime factors of w(6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43101211931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -217, 3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 - -267\/4. Which is the smallest value? (a) -1\/7 (b) t (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 - 2 - 90 - 4 + 2*m - 8.\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*v = -40, -6*r + 2*r - 5*v = -49. Let z be 7\/2 + r\/12. Is ((-224)\/24)\/(z\/(-6)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:55 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 48 = h, 0*h - 5*y = -h - 3. Let j = 47 - 49. Let f be (-4)\/h*j - (-178)\/476. Which is greater: -1\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 12 = -2*o. Suppose -4*w = -4*i + w + 76, o = 5*i - 2*w - 78. Let j(y) = -10*y + 1. Let p be j(-2). What is the highest common factor of p and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5663 + 0.2663. Which is the closest to j? (a) 4 (b) 5 (c) 2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y - 2. Let b(u) = 60*u - 25. Let v(d) = -4*b(d) + 50*c(d). Let h(w) be the second derivative of w**3\/6 + 5*w. Calculate v(h(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15711081 divided by -826899\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3358.3 to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 167863 (base 10) to base 12\nAnswer: 81187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 25 = -35. Suppose -x*y + 2*y + 40 = 0. Suppose 5*i = 20, -y*t = 2*i - 342 - 118. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 12 = 3*o, 5*o + 5*v + 1 = 3*v. Calculate the least common multiple of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 12 = -7*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 11:17 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. Suppose m + 3*m = -16. Let w = -4 + 1. Put u, w, m in ascending order.\nAnswer: m, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46212734.5 to the nearest 1000000.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -512*v**4 + 2606*v**4 + 647*v**4 + (0 + 0 - 2*v)*(7*v**2 + 2*v**3 - 7*v**2).\nAnswer: 2737*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4564 (base 11) in base 4?\nAnswer: -1131233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*g - 115*g + 7*g + 4*g.\nAnswer: -160*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28d - 1d7?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -12. Let n(j) = 9*j**3 - 4*j**2 + 12*j + 6. Let y(x) = 16*x**3 - 5*x**2 + 23*x + 11. Let c(g) = -7*n(g) + 4*y(g). Calculate c(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -18*q**3 + 2*q**2 + 6*q - 3*q - 20 + 32*q**3 - 15*q**3 + 6*q. Let l be r(2). Which is the third smallest value? (a) 5 (b) 8 (c) l (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, e: 1, c: 5, n: 1, y: 4, r: 1}. Give prob of picking 2 c, 1 b, and 1 r.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a + 99. Let g be z(6). Suppose -10*q**3 + g*q + 6*q - 15*q**2 - 3*q - 8*q + 5*q**4 - 20 = 0. Calculate q.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -523 - -721. What is the greatest common factor of 44 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 440 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Let u = -1 + a. Suppose 9*m + 9 = 6*m. Sort m, u, -1 in decreasing order.\nAnswer: u, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167.80806 months to decades.\nAnswer: 1.3984005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 0*a**3 - a**3 + (5 + 416*a - 3*a**2 - 416*a)*(5*a - 3*a - a).\nAnswer: -4*a**3 + 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10221 (base 7) in base 14?\nAnswer: cb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35177845 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 6:46 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -1038652, -5 in decreasing order.\nAnswer: 46, -5, -1038652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -219.7 - -0.7\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + -1)\/(-1*1). Suppose -f = -c, 3*r + 17 = -0*r + 4*f. Let q = r - -5. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-15)*2)\/((-39)\/130)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9*c - 1. Let y(v) = 5 - 3 - 2 - 1 + 14*v. Let j(m) = -8*h(m) + 5*y(m). Differentiate j(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 6*u - 50. Let k(f) = 3*f**2 + 2*f + 2. Let p be k(-2). Let r = u - p. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-11))\/(66\/44)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -130?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 5 + 13)*(-l - l - l**4 + l) as m*l + y*l**3 + h + z*l**2 + g*l**4 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211.61 + -212. Which is bigger: 4 or n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 12:39 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252102 by -6.\nAnswer: -42017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = 17*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7960 and 68369236.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 316*y**2 + 18*y - 110. Let n(k) = 158*k**2 + 8*k - 49. Calculate -9*n(m) + 4*o(m).\nAnswer: -158*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gagg when four letters picked without replacement from {a: 6, g: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2308417, -4616878, -6925339, -9233800?\n\"Answer: -2308461*u + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140 (base 10) in base 5?\nAnswer: -14030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-78))\/(44\/(-66)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i - 3. Let r be ((-72)\/(-30))\/((-4)\/10). Let l be d(r). Let k be (-8)\/(-10) + (-54)\/l. Solve 2*z = k*s + 4, -5*s = -z - 2*z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*x + 28, -3*x - h + 4*h = -33. Let g(n) be the third derivative of n**4\/12 - 11*n**3\/6 - 10*n**2 + 3. Give g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -152 - -6dd?\nAnswer: 58b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.82616 and -52719819.\nAnswer: -52719817.17384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/4 + 113*w**3 - 681*w**2\/2 + 623*w. Factor q(s).\nAnswer: 3*(s - 1)*(s + 227)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 9:08 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10937142?\nAnswer: 2, 3, 607619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 35*r + 495. Let y be s(-14). Let p(j) = 3 + 3 + 9*j - 3 - 5. Let v be p(2). Solve y*z + v - 6 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(176))**2 + sqrt(176) - sqrt(176)) + -2.\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -942112 and -942111 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016999 times -0.1?\nAnswer: 101699.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-112))\/(3\/(378\/(-300)))*-5.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t - 5*t + 4*t)*(2*t - t - 3*t + (1 + 2 - 4)*(4*t - 8 + 8))*(-15 + 34 - 5*t**2 + t - 14) in the form d*t**4 + x*t**3 + q + f*t + z*t**2 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**3 + 57*w**2 + 67*w - 1418. Give k(19).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, -2, -3.56, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/4 + 4\/16. Let x be -6 + (m\/1 - -2). Let t = -0.2 + 0.3. Which is the third smallest value? (a) t (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.28639 and -6.\nAnswer: -1.71834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 9*p**2 + 13*p - 8. Let n be w(-7). Let s = -5975\/16 + 373. Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -7\/5*p**5 + 32\/3*p**3 + 3*p**4 - 24*p**2 - 16*p - 47. Factor i(d).\nAnswer: -(d - 2)**2*(d + 2)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215876 and 98633?\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -3)\/(13\/65). Suppose -32572 - 21781 = -b*u + 2*x, -4*u = 5*x - 43489. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p - 5 = 5*p + 8*p, -p - 2*p = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 354791 or 355445?\nAnswer: 355445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (-20)\/(-6))\/(95\/(-57) - -1). What is the third smallest value in 1\/4, u, -6, -72\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -240*l + 121*l + 118*l. Let c(v) be the third derivative of -v**5\/60 + v**2. Calculate b(c(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25\/4 + 77\/12. Let t = 8919\/4 - 2215. Calculate the common denominator of t and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 7)*(7 - 1673\/280 - 1)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22626)\/(-6) + -2 + -6. Calculate the greatest common factor of l and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 104827, 104846, 104891, 104974, 105107?\n\"Answer: 2*i**3 + i**2 + 2*i + 104822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 17 - 2 = 3*a, 17 = 3*k + 4*a. Put k, -0.2, -1, 0 in ascending order.\nAnswer: -1, -0.2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1595235 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -11\/30*s**4 - 4\/5*s**3 - 58*s + 0*s**2 + 0 + 1\/50*s**5. Factor k(l).\nAnswer: 2*l*(l - 12)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = n - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -1 - (-8 + 11 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5\/5 - 28*g**4\/5 - 24*g**3 - 144*g**2\/5.\nAnswer: -2*g**2*(g + 2)*(g + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-18))\/(6\/(-27)). Suppose -4*c = -s - 10, -6*s + 4 = -s - g*c. Let y = s - -20. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 2\/3 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 4)*(0*y**4 - 4*y**4 + 2*y**4) - 284*y**4 + 317*y**4 - 988*y**4 in the form z*y**3 + l*y**4 + d + h*y + k*y**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-10)*(-6)\/(-9). Let c be 5\/v + -2 + -3. Suppose -3*x = -c*x - 60. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1791 is divided by 360.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**3*o**(2\/19)*(o*(o*o\/o**(-1)*o)\/o)**(-2\/7) assuming o is positive.\nAnswer: o**(394\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (99\/495)\/(4\/10)*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*k - 5 + 129, 3*s = -5*k + 125. What is the greatest common divisor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -80, -92, -104?\n\"Answer: -12*t - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*b*p*u + 2*b*u*z + 2*p*u - p*z + 2*p + 3*u*z - 49*u wrt p.\nAnswer: -5*b*u + 2*u - z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 4*v + 2*v)*(-1522*v**2 - 115*v**2 + 451*v**2 - 3068*v**2).\nAnswer: -8508*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11280 is divided by 162?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhdlhbih. Give prob of picking 1 i and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*s**2 + 9772432*s\/3 - 310236.\nAnswer: (s + 465354)*(21*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 11*w + 6. Let j be b(5). Suppose 1 - j = 5*x. Suppose 2*l + 1 + 3 = x, 4*s + 2*l = 1144. List the prime factors of s.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/7, -0.1, -0.13, -1.1, 3\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 1592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -15 - 7*o**2 + 15 - o**3 - 7*o. Let j be g(-6). What is the highest common divisor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 30*n**2 - 13*n - 1243. What is j(-24)?\nAnswer: 2525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 9942, 0.5, -3, -0.5, 2\/23?\nAnswer: 9942","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.03, 2, -3, 3, 0.0766, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2 + (-55)\/(-35)). Let a be (-1)\/d + (-4)\/(-28). Solve a = -4*b + 2*o - 6, 6*b - b = 3*o - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1752 + 1065. Let z = -679 - s. Which is the third biggest value? (a) 0.2 (b) 1\/6 (c) 1\/3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -701 + -505?\nAnswer: -1406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22.9 and -1?\nAnswer: 22.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 z when three letters picked without replacement from zzzzazazaaza.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjf when three letters picked without replacement from {j: 8, f: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u - 3*u)*(2*u + 2*u - 2*u)*(-58 - 10 - 1).\nAnswer: 138*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.1 or -1.1524?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e3 + 13122?\nAnswer: 13615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(832) + sqrt(832) + 1)*1 - sqrt(832) - sqrt(832)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 560, 672, 812, 980, 1176, 1400, 1652?\nAnswer: 1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -15.521 and -11.44532.\nAnswer: -26.96632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.02 and 225?\nAnswer: 225.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111001110 - -1001100010?\nAnswer: -10101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-79)\/396 - (-27)\/(324\/3) and -109\/396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/27*-2*(-1 + 4). Let q(z) be the first derivative of 2 - 1\/6*z**4 + 2\/9*z**3 + 1\/3*z**2 - y*z. Factor q(k).\nAnswer: -2*(k - 1)**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -106691786*y + 103344233?\nAnswer: -106691786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 846848 - 578659. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*n**3 + 1620*n**2 + 45837*n wrt n?\nAnswer: -42*n + 3240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/20*(-10)\/1 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + -4.6. Let g(p) = 8*p + 2 - 9*p - 4*p. Let m be g(1). Which is the closest to 0? (a) k (b) -2\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 413*w**2 - 6*w. Let y be i(4). Let b = y - 4485. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 + 4)*(1 - 2). Suppose 0*i - u*i = 0. Let y = 2 - i. Solve 0*k - 2 = k + y*w, 1 = -2*k - 3*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-788)\/(-16) - -1)*(11 + -3).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 505, 911, 1419, 2029, 2741?\nAnswer: 3555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) -4.4 (c) 562.68 (d) 6\/5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -45. Let q = -22 - z. Suppose -a = -35 + q. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((20*n - 3 + 3)*(6*n**3 - n**3 - 3*n**3) + n - n - 2*n**4)*(1 - 3*n - 1).\nAnswer: -114*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14008.\nAnswer: 2, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 334840 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 11 = -31. Let f be (r\/(-10))\/(1\/8). Suppose -4*n = -w - 2*w - 32, -5*w = f*n. Let a(b) = b - 7. Give a(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/11 - 2814190*h\/11 + 2814188\/11 = 0. Calculate h.\nAnswer: 1, 1407094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 60851 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 4\/5 (b) 1\/3 (c) 2.8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.28427 - 0.18427. Let l = -1\/770 - -281\/770. What is the second biggest value in 3\/2, l, 5, s?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 23 = 5*h, 5*m - 5*h + 5 = -0. Let r = m + -6. Let v be r*(-3 - -4)*-3. Which is smaller: v or 10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (6 + 6) - 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - m - 8 - 1 = 0, -g + 3*m - 8 = 0. Let r be (19\/2)\/(g\/28). Let p = r - -15. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.365 and -3.\nAnswer: -2.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 plus -3193.1?\nAnswer: -2689.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306\/1377 - (-54372)\/27 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 14091*j - 60. Let i(u) = -13*u. What is i(s(k))?\nAnswer: -183183*k + 780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (270\/12)\/(-5) - (-3)\/6. Let u = 13 + -12. Let n = -3 + u. What is the nearest to n in -3, 4, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 209241 and -0.1?\nAnswer: 209241.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 526 + -523. What is the nearest to 2\/9 in 5, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-82))\/(459\/(-54)). Let o be 20\/50*(-15)\/6. Which is smaller: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/40*-5)\/(3\/(-7))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 106 = -k, -4 = 2*k + 2*k. Suppose 3 = 2*z + w. What are the prime factors of ((-39)\/12)\/(2\/z)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1205 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.49 + -1.89. Sort -0.9, d, 0.6 in decreasing order.\nAnswer: 0.6, d, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -318 (b) 0.18 (c) 35\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p - 41. Let g(y) = -y + 10. Let n(m) = -9*g(m) - 2*s(m). What is n(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*5 - sqrt(11)) + sqrt(176)*4.\nAnswer: 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-7)*(2004\/96 - 20).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(15\/(-6)) - 0. Find s, given that -2*s + 2*s**2 + m*s**2 + s**2 - 6*s**2 - 1 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10244515 - 168*b**3 + 10244515.\nAnswer: -168*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1036778 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -5. Let b(h) = -h**2 + 133*h - 2663. Let t be b(98). What is the greatest common divisor of t and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -911 or -907?\nAnswer: -911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -186\/25 in -2\/11, 0.5, -1\/2, -28, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(408) + sqrt(408)*1)*3)\/(sqrt(8) - (sqrt(8) - (sqrt(72) + sqrt(72)*-2)\/sqrt(9))))\/(-2*(sqrt(3) - 3*sqrt(3))*3*-5))**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42426380 divided by 10?\nAnswer: -4242638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/1023 (b) 2\/9 (c) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93 - -99. What is the third biggest value in 0, 5, -0.1, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -398164.4887 rounded to the nearest 100?\nAnswer: -398200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.6, 0.7 in increasing order.\nAnswer: -0.6, -0.4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9*a**3 + 6*a**2 - 6*a + 6. Let z(b) = -10*b**3 - 5*b**2 + 5*b - 5. Calculate -5*f(v) - 6*z(v).\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 158857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 411 in 5, -1\/10, -41, -3\/2, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**7\/1260 - o**5\/60 + 17*o**4\/24 + 28*o**2. Let g(b) be the third derivative of y(b). Determine g(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/153 and -85\/14.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/123 and 3\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18417 + -17787. Solve -92*l + 2*l + c = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2653345 is divided by 884443?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -189 - 61782?\nAnswer: -61971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 - 9*j - 9. Let k(g) be the third derivative of -g**4\/24 - g**3\/6 - 66*g**2. Let u(n) = 36*k(n) - 4*x(n). Let f(h) = -10*h**2. Give u(f(v)).\nAnswer: 1200*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -7*y + 56. Suppose 3*g + 4 - y = 0, g + 409998 = 5*o. What is o rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 9}. What is prob of picking 1 h and 1 b?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.79 + 0.21. Let k = -102 + 104. Suppose b - k*b = -2. Put b, 0.2, x in descending order.\nAnswer: x, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21578056 is divided by 1580.\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/79 - 265\/316. Which is the second smallest value? (a) 0 (b) 1 (c) -2 (d) w (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -9. What is the remainder when 17 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 12*c. Let t be 3 + (1 - 3) + -3. Let q be d(t). Let i be (18\/q)\/((-2)\/8). Solve 7 = -2*m + i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -3 (c) -8\/3297\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -4 (c) -3\/52 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*j + 408 = 0, -4 + 0 = j. Suppose 28*r - n = 1554. Calculate the remainder when 64 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3160 - -3158.7. Which is the nearest to -2? (a) m (b) 2 (c) 0.14 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 5*t**2 + 15*t + 30. Let j be v(-3). Let f(d) be the second derivative of 0 - 4*d**2 - 1\/3*d**4 + j*d**3 - 4*d. Suppose f(r) = 0. Calculate r.\nAnswer: 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -948*i**2 + 5381*i + 59. Calculate b(6).\nAnswer: -1783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22200243443303 - -10?\nAnswer: 22200243443313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -13*p - 10. Let s(a) = 21*a + 15. Let o(d) = 5*s(d) + 8*t(d). Give o(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 14 - 5)*(-35*p + 19*p - 68*p**3 + 14*p) in the form t*p**2 + w*p**3 + m + s*p and give w.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 + c**2 + 2*c + 1. Suppose -4*p = -0*p - 4*m - 12, -3*m = -5*p + 7. What is a(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**10\/15120 + m**9\/3780 - m**7\/630 - m**6\/360 - m**4\/6 - 3*m. Let i(s) be the third derivative of w(s). Factor i(h).\nAnswer: 2*h*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 4. Let o be u(3). Suppose 0*y - o = -2*y. What is the remainder when 17 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 99, -88, -345?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 12*x**2 - 17*x. Let i(z) = -2*z**2 + 3*z. Let y(n) = n**3 + 7*n**2 - 6*n - 8. Let a be y(-7). What is a*i(f) + 6*w(f)?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -799, -1608, -2431, -3274, -4143, -5044, -5983, -6966?\n\"Answer: -q**3 - q**2 - 799*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4216\/9 - 465. Calculate the common denominator of 61\/27 and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 0 + 4. Suppose -r - 5*f + 3*f = -206, -222 = -r + b*f. What are the prime factors of r?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/12 + (-323)\/(-114).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**6\/120 - n**5\/20 - n**4\/4 - 5*n**3\/6 - 5*n**2. What is the tens digit of k(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4860 + 11612. What are the prime factors of n?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 187, 328, 471, 616, 763, 912, 1063?\n\"Answer: q**2 + 138*q + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 64\/(-126) + 12\/54. What is the second smallest value in 3, 5, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7\/4 of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-12))\/((-1)\/6). Suppose 0 = 3*j - 2*j - 3*l - 14, 23 = v*j - l. Let w = 33 + -29. Solve -w*g + q + q = -10, -3*g + 4*q = j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(1\/6))\/((-159)\/(-106)). Solve o*b + u + 2 = 0, -u + 3 = -5*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 173*u - 316. What is the units digit of x(56)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 48 - 2 = 0. Let x = 76 + o. Does 47 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-124)\/(-279)*6\/4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - l**2 + l - 1. Suppose -6*w + 2 = -4*w. Let y(b) = 2*b**3 + 7*b**2 - 9*b - 7. Let p(s) = w*y(s) - 3*t(s). List the prime factors of p(6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 smaller than 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcxccqxgcgx. Give prob of sequence cqx.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Suppose -5 = -k*p + 21. Suppose -5*s + 39 = -d, -d - 3*d = -4*s + 44. What is the remainder when p is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msqsxssgms. Give prob of sequence sqm.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r - 2297 - 3*r + 2220 to the form t + h*r and give t.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {r: 2, b: 3, u: 1, g: 3, v: 7, h: 3}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (72 - -27) + (62 - 116)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*o + 23 + 611 + 134 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 178*y**2 - 3927*y + 341. Determine o(22).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 46.02 and -50201.81.\nAnswer: -50155.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5265.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d - 5 + 5)*(-3 + 2 - 1) + 5*d + 3*d - 4*d)*(1 + 7*d**2 + 134*d**2 - 11*d**2).\nAnswer: 780*d**3 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/2 + j**3\/2 + 23*j**2\/2 + 39*j\/2 + 9.\nAnswer: -(j - 6)*(j + 1)**2*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020013 (base 4) in base 10?\nAnswer: -4615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 1\/60*q**5 + 7\/18*q**3 - 5\/36*q**4 + 18*q - 1\/2*q**2 + 0. Factor a(f).\nAnswer: (f - 3)*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1570)\/(-3) + 16\/24. Suppose 5*z - 3*p + 99 - 755 = 0, -4*z + 2*p = -m. Let l = 133 - 81. What is the highest common divisor of l and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 156.4339 microseconds?\nAnswer: 0.1564339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 36*c**5 + 14307*c**4 + 1417254*c**3 - 841164*c**2 - 946842*c + 356409 = 0.\nAnswer: -199, -3\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83733 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0115 times -6\nAnswer: -0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h. Let i be p(-1). Let x be i - 0 - (-5 - -4). Let r be 1*(x\/2 - -6). Which is greater: 8 or r?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 4 + 1 + 1 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*q**3 - 79*q**3 + 414*q**3 - 96*q**3.\nAnswer: 435*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in -0.9, 4, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 65 = 7*y. Suppose z + 4*m - 24 = 0, 0*m = 3*z - m - 20. Let n = z - y. What is the highest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 15305349803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 4:23 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, -22, -69, -156, -295?\n\"Answer: -2*a**3 - 2*a**2 + a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (2 - (-2 + 0)) - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -27*t + 9. Let v(r) = -74*r + 27. Give 11*s(p) - 4*v(p).\nAnswer: -p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 17. Let a be g(11). Suppose 186 = n - 5*x, 0 = -2*x + a*x + 12. List the prime factors of n.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**3 + 48*y**2 + 43*y**3 + 43*y**2 - 91*y**2 + 199*y**3.\nAnswer: 251*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10062 is divided by 191.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5977 - 5980. Suppose -30 = 3*u + 105. Is g*(-10)\/u - (-25738)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/(-10) - 0)\/((-2)\/(38 - 28)). Solve -4*b + 2*b + 6 = -j, 3*b = -2*j + f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i - i - 56*i**2 - 12*i**2 + 7*i**2.\nAnswer: -61*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l + 21. Let z(s) = 2*s**2. What is a(z(i))?\nAnswer: -6*i**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-10) + (-2)\/(-40). Let p = -5 - -5. Sort p, 3\/8, o in decreasing order.\nAnswer: 3\/8, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49*888\nAnswer: -43512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moo when three letters picked without replacement from {m: 2, o: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 23*c = -15714. What are the prime factors of c?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 9*t - 4*t - 1, 14 = -3*g + 4*t for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 14*u**2 + 12*u + 6. Suppose m = -5*o + 12, 61*m - 36 = 63*m - 2*o. What is r(m)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -120 - -235\/2. Which is the second smallest value? (a) i (b) 1\/12 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**(-1\/8))))\/y)\/(y\/y**10*y)*(y**(2\/9))**43 assuming y is positive.\nAnswer: y**(1273\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = 1. Let a(p) = p - 110038 - 6*p**3 - p**2 + 220070 - 110033. Determine a(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(552\/207*(-6)\/8)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10575*j = 10562*j + 4212. What is the smallest common multiple of j and 1620?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10602616 (base 7) in base 2?\nAnswer: -11100001111011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**7\/735 + f**6\/105 + f**5\/210 - f**4\/21 + 26*f**2. Factor k(i).\nAnswer: -2*i*(i - 4)*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 13) + -19 + -2 + 18\/6*-1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**4 + d**3 - d - 1. Let o = -14 - -2. Let i(c) = -3*c**4 - 8*c**3 + 5*c**2 + 2*c + 4. Let v(n) = o*y(n) - 3*i(n). Factor v(h).\nAnswer: -3*h*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 12. Let x(z) = -z**2 + 13*z - 12. What are the prime factors of x(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 66. Suppose -o + b = 5*v, 0 = -0*o - 5*o + 3*v - 45. Let c(j) = -j - 6. Let m be c(o). Solve -3*f + 3 + 6 = m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q + 12. Does 7 divide r(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 1:11 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.133 (b) 0.03 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 2*c - 2. Let d be g(-4). Let p = d - 1. Solve -4*v - 31 = p*x, 5*x + 0*v + 23 = -2*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 72*s**2 + 199*s + 557. Let d be q(69). Sort 37, -19, d in descending order.\nAnswer: 37, d, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let p be 2\/((-1 - b)\/(-18)). Let w(t) = -2*t**2 + 615*t - 7068. Let d be w(12). What is the greatest common divisor of p and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 22 - 2. Suppose -2*d + y = -6. Let r = 44.6 + -45.6. Is d at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/((-7)\/18)*58\/(-4). Suppose -4*d - x = -13*d. What is the remainder when d is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.08 + -11. Let u = 0.18 - z. Which is the closest to u? (a) -1 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + -53134466?\nAnswer: -53134511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 259.982 - 260. Suppose 8 = -2*p + 8. What is the closest to p in 1, b, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 greater than or equal to -2057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*(sqrt(117) + sqrt(117)*-1))**2 + sqrt(117)*3 + 4 + -5)*5 + 4.\nAnswer: 4 + 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + (-3 + 6)*-1. Let z(d) be the second derivative of 0*d**b - 5\/6*d**3 + 0 - 3*d. Let c(f) = 2*f. Determine c(z(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 + 0)*(5 + 3 - 1) + 1 - 1 - 2)*(3*k - 2*k - 2*k).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -210*b + 5005. Determine j(25).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*y + 2*v + 94, 4*y - 6*y - 2*v = -6*y - 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*d - k = -7, 3*d = 3*k - 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 - 1\/3. Let p = s - 4. Let f = 8 + p. Solve 9 = -2*c - x, -f*c + 4*x = 2 - 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/55200 and -49\/30?\nAnswer: 55200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35716943 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -328 + 442. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 407*c + 665*c - 88*c - 4*c**2 - 109*c to the form s + g*c**2 + w*c and give w.\nAnswer: 875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -633436 smaller than -633431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 405 - 405. Suppose -2*k + 2 = -2. Factor t + 2\/9*m**k + 2\/9*m.\nAnswer: 2*m*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3477 - -3474. Sort 1, -4, -153, i.\nAnswer: -153, -4, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a - 44 = -88. What is the third biggest value in 0.19, a, -3\/7, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 12) to base 11.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 694 and 1450446.\nAnswer: 503304762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -3 + 1\/7*t**2 + 0*t - 2\/21*t**3. Determine g so that v(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/11 - 415*t\/11 - 43050\/11 = 0. What is t?\nAnswer: -210, -205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 902.994836 + -903. What is p rounded to 4 decimal places?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 88. Let b = -27 + u. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231 (base 6) to base 9.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5034636285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16041 - -16041.25015. What is g rounded to 3 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12200120222 (base 3) to base 15\nAnswer: 23298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71.6 - -1.6. Let s = -70.5 - w. What is the nearest to 2\/5 in 1, s, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46, 18, -16, -56, -102, -154?\n\"Answer: -3*m**2 - 19*m + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*p = -2*p - 29, 13 = -l - 3*p. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3323\/7 - -475. Let w = -0.3 + 0.1. Let p = -0.1 - -0.3. Which is the nearest to p? (a) w (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*i + 1700 - 12125 = 2130 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2919 + 347363\/119. Is g greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - z - 224*f + 221*f = 128, 11*z - 8*z + 93 = -3*f for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 18 - 290 = -2*s, -3*s + 2*q + 370 = 0. What is the remainder when s is divided by 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223.4327m in millimeters?\nAnswer: 223432.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 0 - 14\/17*t**3 - 12\/17*t - 2*t**2 = 0?\nAnswer: -2, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + y. Let c(m) = 3*m**3 - 28*m**2 - 31*m. Let j(u) = -c(u) - 4*n(u). Factor j(x).\nAnswer: -3*x*(x - 9)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27916110.\nAnswer: 2, 3, 5, 103393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101269 and 661871.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/92 and 34\/1363?\nAnswer: 125396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(570) - sqrt(570) - sqrt(570))*-6)\/(sqrt(10) - (sqrt(10) - (sqrt(40)\/sqrt(16) + sqrt(10))) - sqrt(10)))\/(sqrt(243)\/(sqrt(81)*-3)).\nAnswer: -108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**7\/1785 - p**6\/170 - 3*p**5\/170 + 247*p**2 - 15. Let u(k) = 0. Calculate k.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -15045b96?\nAnswer: 15045b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 + -4 + 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 328*2*(-2)\/2. Find the common denominator of (-308)\/(-21) + (2 - 2) and (-8)\/28 - m\/42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -55, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from ebvbanbvvaaavnbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-30) - (10012\/20 + 2). Let b = f + 511. What is the highest common divisor of 24 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 501.398 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/16 + -6 + 114\/4. Solve 3*x + 6*g - u = 2*g, g = -3*x + 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11843 - 596. List the prime factors of c.\nAnswer: 3, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*d - 47126 + 47126)*(11*d**4 + 85*d**2 - 85*d**2).\nAnswer: 1573*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -613934 + 13*y + 5*y + 613935 + 2*y**2 in the form m + h*y + z*y**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6016*-36\nAnswer: -216576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 46*a + 17 - 1 - 8.\nAnswer: -46*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - b**2 - 2711752 + 2711752. Let i(c) = -5*c**2 - 4*c - 2. Let m(p) = -p**3 - 4*p**2 - 3*p - 2. Let d(n) = -3*i(n) + 4*m(n). Give -d(q) + l(q).\nAnswer: 3*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/1 - (2 + -5986). Let g = n + -2424. Let h be g\/4 - (-24)\/(-32). What is h rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/112251 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -814.931123 rounded to 0 decimal places?\nAnswer: -815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6\/5 (b) 11.7 (c) -6 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13328 + -8223379\/617. Does a = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/98)\/1)\/(-1*17\/119).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -26*u**2 - 14*u - 12. Let a(y) = -270 + 145 + 121 - 5*y - 9*y**2. Give -17*a(b) + 6*m(b).\nAnswer: -3*b**2 + b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331842861 less than -0.8?\nAnswer: -1331842861.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -109137, -109156, -109197, -109266, -109369, -109512?\n\"Answer: -c**3 - 5*c**2 + 3*c - 109134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 233*o - 13743 + 15607 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 0*k + 12 + 0*k + 4*k**2 - 3*k**2 + 0*k to the form p*k**2 + u + q*k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 + 1. Let w be 80325\/(-165) + 2*2\/(-22). Let m = -486 - w. Which is the second smallest value? (a) l (b) 1\/6 (c) m (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10*j**2 - 7. Let t(x) = 4*x. Determine r(t(w)).\nAnswer: 160*w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(99) - (sqrt(99) + (sqrt(99) - (sqrt(99) - (sqrt(99)*3*-3 - sqrt(99))))))\/((sqrt(81) - -2*(sqrt(81) + sqrt(81)*4)) + sqrt(81)))**2*1.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 11*g - 8. Let z(c) = -12*c - 9. Let i(f) = 5*v(f) - 4*z(f). Let w = 54 - 61. Let a(b) = -3*b**2 + 4*b + 2. What is w*a(x) - 4*i(x)?\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*p - 5 - 8 = 0, -2*p + 1 = -3*j. Find the second derivative of -6*n + 41*n**4 - 59*n**j - 2*n + 59*n**3 wrt n.\nAnswer: 492*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2493584 is divided by 155838.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 - -70. Let t = -15 - k. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2208, 0, -132?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 + 27*x**2 - 10*x**2 - 10*x**2 - 12*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4163\/2 - -2134. Let k = a - 1361\/26. What is the nearest to 0 in k, 3\/8, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-6 - (-5 + 6)) - (0 + 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9*h*(h*h**(2\/11))\/h)**33*((h**1\/h)\/h)\/h**(3\/5)*(h**0*h)**(-1\/55) assuming h is positive.\nAnswer: h**(18391\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27741 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363337176.\nAnswer: 2, 3, 15139049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38.42304 - -0.59596. Let d = 112 + -73. Let m = q - d. Round m to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14191 and 23.\nAnswer: 14191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 126.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*y - 39. Let l = y + 13. Suppose l*p + 0*p - 50 = 0. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahiihuauduuid. What is prob of picking 1 u and 1 d?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((-75)\/1350).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d. Let j(g) = -g. Let u be -2*(-1 + (-1)\/(-2)). Let b(v) = 1 - 3*v - 5*v - u. Let n(f) = -b(f) + 6*j(f). Determine n(w(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -222, -311, -290, -105, 298, 973?\n\"Answer: 9*v**3 + v**2 - 155*v - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -410 + 439. What is the remainder when 156 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {d: 3, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieiiiiieiiiiiiiiii. What is prob of sequence ie?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*a - 62 = -32*a - 12*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hee when three letters picked without replacement from eeehehhhhhehehehhee.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64073122 to the power of 1\/2, to the nearest integer?\nAnswer: 8005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 7 - 14 = 0. Let s(g) = -5*g + 8. Let v(r) = -r + 1. What is n*s(h) + 3*v(h)?\nAnswer: 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13013 + 13015. Put m, 3\/2, -2\/3, -1\/2, -0.4 in decreasing order.\nAnswer: m, 3\/2, -0.4, -1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (10\/(-4) + 3\/(-6)). Suppose 3*u + 2 = t, 5*u + 4*t - x = -13. Let c(d) = d**2 + 11*d + 15. Let l be c(-10). Sort 1, u, l in decreasing order.\nAnswer: l, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 709 - 1439. Let c = d - -759.9. What is c rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-24)\/(n*n*n**(-5\/7)*n*n))\/((n**(20\/11)*n)\/n**(-44)) assuming n is positive.\nAnswer: n**(-5706\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63831 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - -2 - (-885 + 896).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**5\/4 - 5*h**3\/3 - 8*h. Find the second derivative of o(l) wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j - 2*j - 6*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6\/(-10)*(1440\/144)\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8070 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 418.8 + -419. Which is the nearest to -0.2? (a) 1\/2 (b) l (c) 0 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**12*i*(i\/((i\/(i\/((i*i**2)\/i*i))*i)\/i))\/i assuming i is positive.\nAnswer: i**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f - 3. Let g(p) = -8*p - 2*p + 515 + 531 - 1053. Let z = -38 + 24. Determine z*h(k) + 6*g(k).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6837\/(-645) - (-9)\/15*(0 - -1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1417, 6428, 14779, 26470?\nAnswer: 41501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46332 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -1577*t**3\/6 + 3331*t. Let r(z) = 5*z. Give x(r(b)).\nAnswer: -7885*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1300 + 2?\nAnswer: -1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 544*g*t*u**3 - g*u**2 - 174*g - u**3 wrt t.\nAnswer: 544*g*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18*2*(-54)\/18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4) + 0)*(-128 - -14). Let y = -57 - j. Solve y = -g - h - 4, -6 = 5*g + 2*h + 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.1 (c) -137 (d) -1983\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 + 5*f + 14\/3.\nAnswer: (f + 1)*(f + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**2 - 2. Let b(k) = 6*k**2 + k + 3. Let f be (55\/2)\/(-5) + (-80)\/(-32). Give f*q(i) - 2*b(i).\nAnswer: 3*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3267.07 and -4.\nAnswer: -13068.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 13 + 3 = 0. Suppose 5*u - 33 = -p. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 + (-51 - -70) - -13?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/3 - 6253*n**3\/3 - 4170*n**2.\nAnswer: n**2*(n - 6255)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7 = r, d - 6 = 5*r - r. Suppose -5*f + n + 45 = 0, 0 = -3*f + 2*f + 4*n + 28. Calculate the least common multiple of f and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 969805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:36 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + 12. Let m be (-194)\/(-22) + 8\/t. Let s = 11 - m. What is the third biggest value in 3, -2\/7, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 7*l + 8. Suppose 0*v = -2*v - 12. Let x be y(v). Let o be (-5 + -14)*x*1. Round o to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18513 divided by 1683\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9891 + 9891 - 724*r + (0 + 0 - r)*(2 - 2 - 1).\nAnswer: -723*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v + 11*v**2 - 37*v + 3*v.\nAnswer: 11*v**2 - 19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.4 in -3, -111.8, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 8*h**2 - 6*h - 13. Is k(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k + 19. Let x(a) = 5*a - 20. Determine 3*m(o) + 2*x(o).\nAnswer: -5*o + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 824 - 684. Calculate the highest common factor of b and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -540 - -1099. What is the highest common factor of 129 and f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11056 + -11056. Which is the third smallest value? (a) 2 (b) -0.21 (c) f (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2*k = -8, -k = -22*y + 18*y - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.056 - 81.944. Let f = 99.5 + p. Let l = -17.577 + f. What is l rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 + -50. Let q(y) = -7*y - 2. Let u(z) = 85*z + 25. Let r(h) = -25*q(h) - 2*u(h). What is r(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*h**3*v**2*z**3 + 2*h**3*v**2*z + 3496*h**2*v**2*z**3 + 4*h*v*z**2 + 28*v**2*z**2 + 8 wrt z?\nAnswer: 48*h**3*v**2 + 20976*h**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/91*(27\/6 - 3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*o - 49*o + 83 = -g, -221*g = -5*o - 326 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*g - 2672*g - 197610 = 215*g for g.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0672 - -32.8328. Let w = 5703204289.90000141 - 5703204257. Let v = p - w. Round v to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-3))\/(-2) + (-221)\/663.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189 and 63.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6 - 2 = 0, 4*u = z - 6. Let g(b) = -2*b + 42. Let x = -21 - -41. Calculate the remainder when z is divided by g(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 24 = x - 3*k, -4*x + 75 = -5*k. Let j = 13 + 4. Which is smaller: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**2 - 6*k**2 + 4*k**2)*(15 - 457*k - 12 - 1381*k - 1748*k) to the form d*k**2 + q*k + f + u*k**3 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 257.5586506 to zero dps.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 64\/20*10\/4. Suppose -6*d - l = -44. Let z be (-2)\/(-2)*-1*0. Solve t + t - d = z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -36, -95, -178, -285, -416, -571?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d + 20 = 0. Find n such that 7*n**2 + 4*n**3 + 0*n**4 + 2*n - 2*n**3 + 5*n**d + 7*n**3 + n**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1233.8 + 11.\nAnswer: 1244.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 1. Let c = -6 + 7. Let m be z(c). Let s be (1 - -2)\/(1 + m). Solve -s*o + 13 - 4 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/204 and -151\/204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6006 minus 21.4261693?\nAnswer: -20.8255693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 318?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305196?\nAnswer: 2, 3, 29, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 581238 and 4649904.\nAnswer: 4649904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 3. Let d be w(-2). What is the closest to 2 in 5\/3, 2\/9, d?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 6. Suppose 4*w - 22 = 2*w. Let r = -5 + w. What is the smallest common multiple of 6 and d(r)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1733 at least 558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118256*r - 2424 + 2424.\nAnswer: -118256*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -15. Let a(f) = 2*f - 2 + 3*f - 6*f. Determine a(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, m: 2, o: 2}. Give prob of sequence ok.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 3*s**2 + 5*s + 2. Let t be u(4). Let h = 8 - t. Let i(c) = -c**3 + 3*c**2 + 5*c - 3. Let k be i(4). Put k, 4, h in ascending order.\nAnswer: k, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5094915717?\nAnswer: 3, 41, 271, 353, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4 + 292*q**3 + 885*q**2 = 0 for q.\nAnswer: -3, 0, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -111.5486 and -0.5?\nAnswer: 55.7743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/29, 2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2. Suppose -2*x = -4*n - 4*x + 4, -4*n + 5*x + 32 = 0. Let g(h) be the second derivative of 0 + 0*h**2 - 8\/3*h**n + 17*h. What is g(w(j))?\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 273 + -228. Let x = 46 - o. What is the highest common divisor of x and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 5838086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, 4, 109, 174, 0 in decreasing order.\nAnswer: 174, 127, 109, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3404913673 is divided by 3813.\nAnswer: 3811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.17 and -90066.\nAnswer: -90065.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 108, 75, 42, 15, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 932 - 1864392\nAnswer: -1863460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from wgg.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*q - 12, 2*g + 5*q = -2*g + 36. Put g, -3, 3 in descending order.\nAnswer: g, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/12 - 5*v**3\/6 - v**2 - 32*v + 1. Let n = 3 - -2. Calculate y(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(16\/208*13)*4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-35))\/((-1)\/((-14)\/4)). Let p be (-1 - s\/(-1))*3. Let t(j) = -j**3 + 11*j + 12*j + 1 - 24*j + p*j**2. Give t(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413321 (base 5) to base 7.\nAnswer: 54416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2302.\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q - 355 = -240. Is 3 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6592375 to the nearest integer?\nAnswer: 2568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9778.565 hours?\nAnswer: 586713.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 11*b**2 - 613*b + 3 - 612*b - b**3 + 1238*b. Let p be y(12). Solve -3*g + 5*c = -6, g = -3*g - c - p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14.46, 33, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6175 >= -6177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 - ((-3 - 2) + 10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 + 3*m**2 - m + 16. Let y be l(-4). Let s = y + 63. Solve -2*d = -d + s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + -2 + sqrt(50) + sqrt(162)\/sqrt(9).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -41934110325949 and 14.\nAnswer: -41934110325935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2061*d + 192 = -1965*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.3 - 0.7. Let l = 403 - 404. What is the third smallest value in l, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227710420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 67, 23, -43, -125, -217, -313, -407?\n\"Answer: x**3 - 17*x**2 + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + s + 10. Let h be k(0). Let t be (-15)\/h*(-260)\/6. Suppose 3*o - t = 5*d, d = -o + 2*d + 19. What is the greatest common factor of 105 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*n - 152*n - 230*n + 233*n.\nAnswer: -452*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 3*z**2)*(-3*z**3 + 8*z**2 - 8*z**2).\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67065 - 67069. Let o = -7 - 1. Let v = o - -3. Which is the closest to 1? (a) v (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6465363079.\nAnswer: 7, 923623297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875643 is divided by 30194?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3488, 6890, 10304, 13730?\n\"Answer: 6*q**2 + 3384*q + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l + 0*l + 4 - 2*l. Give q(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-315))\/(-6*2\/2058).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/3, 0.5, -4, -3, 0.06, 155.95, 0.4?\nAnswer: 155.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 1, x: 2, v: 4, k: 1}. Give prob of sequence vd.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 14*l - 59. Determine x(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 354800 divided by -3548?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5 + 3*h + 12 + 12. What is the remainder when 55 is divided by b(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2517198, 5034503, 7551808, 10069113, 12586418, 15103723?\n\"Answer: 2517305*t - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*o = 56*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -8. Let c be ((-9)\/21)\/(2\/(-14)). Suppose -5 = -c*x + 19. Calculate the least common multiple of x and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 10 = d. Let h = 2 + d. Suppose 0*t + h*t = 0. Solve t = 5*p - 10, -2*n + 3*p = -2*p + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13448 - -13669. What is the greatest common factor of 12376 and l?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -815 + 4385. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 16 + 27 + 6*t - 11*t**2 - t. Let x be c(11). Calculate the highest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 86 - -18?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3900.9 times -414\nAnswer: 1614972.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/35)*f\/f**20 assuming f is positive.\nAnswer: f**(-666\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217979.72 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 - 2*t - 1. Let a be 4\/(-2) - (-7 + 6). Let w be b(a). Solve 19 - w = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.58*785.\nAnswer: -455.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 289647454*f**4 + 322688220*f**2.\nAnswer: 6951538896*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 1. Let w = 1.67 + -1.27. Let i = -1.93 - -1.83. Which is the third biggest value? (a) i (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8181, -1, -1.5 in ascending order.\nAnswer: -8181, -1.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.048 and -2606.022.\nAnswer: 125.089056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-98)\/(-20))\/((2680\/28475)\/(2\/17))?\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 t when two letters picked without replacement from {t: 1, p: 2, m: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*i + 5733 = 0, -4*l + 11741 - 4103 = -2*i. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 (base 4) in base 6?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(4 + 0)*12\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9740411 + -0.52?\nAnswer: -1.4940411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 5*q**3\/3 + 11*q**2\/2 - 7*q - 121. Let h = 9 - 3. Is n(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 951 and 549?\nAnswer: 174033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1447, -0.3, 0.2, 0.037007?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4401, 4109, 3831, 3573, 3341, 3141?\n\"Answer: l**3 + l**2 - 302*l + 4701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -5, -1, -20, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5016 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -132, -157, -202, -273, -376, -517, -702?\nAnswer: -937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/(d*d**(1\/8)))))**6\/(d**(-15)\/(d\/((d**8*d)\/d*d))))**(2\/85) assuming d is positive.\nAnswer: d**(5\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -0.0036 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 2*k**5\/15 - 5*k**4\/24 + k**2. Find the second derivative of z(j) wrt j.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*v + 283*i - 284*i, -v - 2 = 5*i. Let d = -2 - 1. Let n be ((-10)\/(-6))\/(-5)*d. Solve -q + v = -n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + j - 8 = 2*j, -3*j - 15 = 0. Solve -4*p - 7 = -x*u + 3, 0 = -5*u - 3*p - 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49053287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -32, -24, -14, -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -568, -1281, -2280, -3565, -5136, -6993?\nAnswer: -9136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*5\/(-30) + (-4)\/6. Let b(x) = -x**2 + 2*x + 3. Let j be b(m). Let o(y) be the first derivative of -y**3\/3 + y**2\/2 + y - 1. Calculate o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5485, -7743, -20971, -34199, -47427?\n\"Answer: -13228*i + 18713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3*y + 174, -4*d = d + y - 320. Suppose 0 = -2*m - 10, 0 = -i - 3*i - 5*m + d. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201*t**5 - t**4 + 305*t wrt t.\nAnswer: 4020*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 1, -2*q + 1096 = -x + 4*x. Suppose -2*j = -s - 350, 5*j - 5*s - x = 3*j. What is the remainder when j is divided by 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -997 + 997.0814. Let x = m - 0.08137834. Round x to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1380)\/(-124) + (-512 + 127)\/35\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -0.0689?\nAnswer: 3.0689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230078 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + o = -6, 0*k + 3*k - 3*o = 0. Suppose -3*a + 2*a - 63 = 2*n, 5*n + 187 = -k*a. Let c = -12 - a. What are the prime factors of c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11033)\/11*(-124)\/2108?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1101332 + -212213?\nAnswer: -1314100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -22200 to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58679?\nAnswer: 58679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 9*p**5\/20 - 8*p**3\/3 + p**2\/2 - 9*p. Let d(x) be the first derivative of c(x). Differentiate d(u) with respect to u.\nAnswer: 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*x**2 + 44*x**2 + 71*x + 87*x**2 - 177*x**2 as u*x + f*x**2 + q and give u.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*w - 48029 = 0, -z + 16436 - 64441 = 5*w. List the prime factors of z\/(-45) - 2\/18.\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 8:05 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(70)*-1)\/(sqrt(10) + 2*sqrt(1440) - sqrt(10)))**2.\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 18. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/((-6 - -12)\/(-144)). Suppose 2*u = 4*h + 4, -4*u = 3*h - u + j. Let z be ((-16)\/30)\/(0 - h). Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d + 3. Let v(j) = -28*j + 17. Let s(z) = 34*m(z) - 6*v(z). Let x(h) = -142*h. Calculate x(s(u)).\nAnswer: 284*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3223075 or 1?\nAnswer: 1\/3223075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6.7345 + -0.2655\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.298 - 994.702. Are -4 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*y - 7*y + o, -5 = 3*y + 4*o. What are the prime factors of -1 - ((-6 - y)*103 - 1)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 61*f**2 - 81*f + 1179. Let i be u(62). Let t = 3 - 0. Which is the nearest to t? (a) 0 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 352435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1450, -5803, -13060, -23221, -36286, -52255?\nAnswer: -71128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.46372341 to two decimal places.\nAnswer: -3.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (75\/((-8100)\/18))\/(-20)\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-12) - (220\/(-24) - -9). Solve -b + 3*t + a = t, -b + t - 2 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*k**3 + 31*k**2 - 31*k**2.\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 q when three letters picked without replacement from nnnnnqnnntnnnn?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4 + 35*y**3 + 38*y**2 - 72*y = 0. What is y?\nAnswer: -2, 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27760325.9 plus 0.04723?\nAnswer: -27760325.85277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 32*n**2 - 44*n + 436. Let k be s(33). Let v = 99 + -25. Is k at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 166 - 155. Let x = 42 + -43. Which is the third smallest value? (a) 5 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8277559.\nAnswer: 19, 435661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2963756 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -361.343538 + 14.241578. Let o = -0.00196 - g. Round o to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + r**2 + 1. Let p(y) = -y**2 + y - 3. Let j(n) = -p(n) - 3*z(n). Is 18 a factor of j(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 77*g + 4212250*g**2 + 2*g**4 - 5*g**3 - 4212250*g**2 in the form u + m*g**4 + c*g + o*g**2 + v*g**3 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.97 + -43.896. Let x = 36 + g. Round x to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = -4*j + 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.128*-4.\nAnswer: -0.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186 divided by -31.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/5 + 146980*w - 21310418\/5 = 0 for w.\nAnswer: 29, 367421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -5*b + 5*b, -3*g + 3*b = 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2*(-4)\/3. Let z(o) = 3 + o - 3*o + 0*o + o**u. Let m = -594 + 596. What is z(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Let j = -0.1518 + 0.4518. What is the closest to j in -0.3, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037157561 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 460*i**2 + 35*i + 36. Determine y(-1).\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*g - 7 = g, 3 = -5*x - 2*g. Let s = 3 - x. Suppose 2*m = 10, -s*k + 0*k + 2*m + 2 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33023002 (base 4) in base 5?\nAnswer: -3442041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 5*j**2 + 51*j + 292. What is r(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 966695 or 4?\nAnswer: 966695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064231 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*c = -271, 3*p - 145 = -2*c - 0*c. What is the remainder when 29 is divided by (-48)\/10*(p + -56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p + 1\/2*p**2 + 1. Let v(u) = 2*u**2 + 10*u - 8. Let a(x) = -10*s(x) + v(x). What is the derivative of a(n) wrt n?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g = -42. Let l be 24\/g + (-8)\/(-28). Let n(k) = -k**3 + 4*k**2 + 11*k + 6. Let h be n(6). Sort h, l, -2 in decreasing order.\nAnswer: l, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86393.22 milligrams to kilograms.\nAnswer: 0.08639322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -8.5. Let h = r + -0.6. Let w = h - -2.54. What is w rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 12) in base 9?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adllahdkhhhkh. What is prob of sequence hd?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:10 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/4459 and 43\/637.\nAnswer: 4459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -8*t - 2. Let d(o) = 8*o**2. Calculate w(d(y)).\nAnswer: -64*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/((9\/(-42))\/(18\/(-7))). Let p(o) = -3 - o + o**3 - 8*o + 2*o**2 - 5 + 3*o**2. Calculate p(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*t + 2*z, -2*z - 172 = -5*t - 0*t. Let x = -4 - -9. Is x != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 3. Let g be u(6). Let x(o) = 18*o**2 + o - 2. Is x(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 1398590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 6*f. Suppose -3*n + 4*o - 1 = f, -6*n + 5*o - 5 = -3*n. Suppose 3 = 2*r - 3*z + 2, 5*z + 3 = 4*r. Solve n*s = r*s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296055689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 57.\nAnswer: -56.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 0*v - 2*v)*(-109263*v - v**3 + 109263*v + 91*v**4).\nAnswer: 91*v**5 - v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138 or 5.2?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*n = 100, 3*r - 5*n = 182 - 33. Calculate the least common multiple of r and 108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.69 - 0.89. What is the nearest to -1\/2 in -3, c, -2\/19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 - 9*v + 1. Let t be y(-9). What is the lowest common multiple of t\/(-7) - (-4)\/7 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**3 + 21*s + 171 wrt s.\nAnswer: -6*s**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -203.\nAnswer: -5\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148 + 151. Let b be 3\/(-117)*g\/2*-4. Find d, given that -2\/13 - 2\/13*d**3 + 2\/13*d**2 + b*d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2100941 is divided by 749.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29605 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 - 13*b + 11. Determine z(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 0.86\nAnswer: -13.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:33 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 54238*a - 12637027. Give v(232).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-6)\/27) + -3. Let z be (-10)\/(((-3)\/(-9))\/((-2)\/g)). Solve -z = -4*d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29310 - -67?\nAnswer: 29377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -26*u**3 - 773*u**2 + 403*u + 5788. Determine z(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, o: 2, y: 1, x: 1}. What is prob of picking 1 y and 1 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 7*r + 351 - 314 = 0, 3*s - 18 = -3*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13608 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrr when three letters picked without replacement from wrrwwwwrwwwrwwwrwr.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*b = -40, -141 = 2*b - 149 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14429 is divided by 140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.082, -366, 4, -5, -2 in increasing order.\nAnswer: -366, -5, -2, -0.082, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 12*o**2 + 15*o - 4. Calculate the remainder when w(13) is divided by (4\/(-6))\/((-5)\/45).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010 (base 2) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**7\/420 + 7*l**6\/80 + 7*l**5\/15 + 3*l**4\/4 + 143*l**2 + 17. Solve z(s) = 0 for s.\nAnswer: -18, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 times -7.392?\nAnswer: 221.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 486 - 423. Calculate the greatest common divisor of v and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*b - 52, 4*b - 12 - 10 = -2*i. What is the lowest common multiple of b and 1 - 1 - (-6 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/(-148))\/(4\/(-236)*-2) and 45\/(-36) + (-68)\/(-10).\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -8*k - 32. Let n be 2*k + 225\/15. Let d(x) = x**3 - 11*x**2 - 25*x - 13. What is d(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116\/13365 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**3\/2 - 3*m**2\/2 + m - 3. Let g(c) be the first derivative of s(c). Differentiate g(t) with respect to t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(8)\/(sqrt(2) + sqrt(2)*2) - sqrt(4)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(-3)\/(-36)*-3. Let s be 0 - ((-4)\/1 - -2). What is the closest to l in -1\/3, 0, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10219754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -1732.\nAnswer: 1734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aacaca. Give prob of sequence cca.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5 = n - 3*p, -5*n + 5*p + 5 = 0. What is the common denominator of (-2)\/n + 41 + -3 and (-8)\/20 - (-267)\/55?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2880))**2 + ((sqrt(180)\/sqrt(4))**2 + sqrt(45))*3 + 5.\nAnswer: 9*sqrt(5) + 3020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, g: 2, y: 1, b: 1, w: 2}. Give prob of sequence wgby.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-304)\/(-2888) + 2\/(-19))\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 5) + (-17 - -9) + 9 + -3 + 5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5712 divided by 4?\nAnswer: -1428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8505 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 55*c - 230. Give p(5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -149 and 159248?\nAnswer: -23727952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -686*y**3 - y**2 - 37*y + 688*y**3 - 15*y to the form s + a*y + w*y**3 + v*y**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9 - 20 + r + 36. Let v = 29 - 16. What is the tens digit of y(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*4\/25 + 12426436\/129550.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 177 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*v - v + 739, -2*v - 2*q - 486 = 0. Let h be (-562)\/(-4)*70\/(-7). Let b = h - v. What is b rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4\/7 - 24*q**3\/7 - 22*q**2\/7 = 0?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33938 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102482 by 51241.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)\/sqrt(3)*2 - (1 + sqrt(1216))) + -2)**2 - ((sqrt(19) + sqrt(190)\/(sqrt(10) + sqrt(40)\/sqrt(4)) - (-1*sqrt(209))\/sqrt(11)) + 1)**2.\nAnswer: 31*sqrt(19) + 2293\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -77, 38, 277, 682, 1295, 2158?\nAnswer: 3313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7\/4 (b) -0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, a: 2, t: 4, s: 2}. What is prob of sequence ast?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8b (base 13) to base 15\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -6*x - 0*x. Suppose -q = x*q - 10458. Suppose -q - 27 = -9*p. Does 38 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 4*r**2 - 6*r - 7. Let u(b) = -b**3 - 2*b**2 + 3*b + 1. Suppose 0 = -6*o + 3*o - 9, 0 = 5*z + 2*o + 16. Let x be u(z). Determine v(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-43)\/m*m*m*((m*m**(-2\/9))\/m)\/m assuming m is positive.\nAnswer: m**(-389\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 - 4*x**3 + x**3)*(6 - 11 + 1)*(1 - 3 + 0)*(-3*x - 5*x - 2*x**2 + 13*x).\nAnswer: -16*x**5 + 40*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.23 (b) -4\/293 (c) -0.26 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0 (c) 720146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0 + 8. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1115*o**3 - 818*o.\nAnswer: 6690*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -61 and 3461.88582.\nAnswer: 3400.88582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - 1.7. Which is the closest to 2? (a) 2 (b) n (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46036 is divided by 201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4302, 8665, 13026, 17385, 21742?\n\"Answer: -c**2 + 4366*c - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, r: 2}. What is prob of sequence mmm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7779105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 1122, 2563, 4560, 7101, 10174, 13767?\nAnswer: 17868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23776, 47365, 70954, 94543, 118132, 141721?\nAnswer: 165310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*d**5*i - 1341609*d**3*i - 4244845*d*i wrt d.\nAnswer: 160*d**3*i - 8049654*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - k = -3*k + 8, 0 = -3*l - 3*k + 12. Let n be (-41)\/(-82)*(0 - l). Suppose 0 = -t + 1 + 3. Solve -6*a + t*a - 6 = n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12220 + -11?\nAnswer: -20001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-4) - (0 - -1). Suppose -4*q - 2*m + 114 = 0, -3*q = p*m + 26 - 119. Calculate the remainder when q is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11267129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 4*t - 6. Suppose -d = -4*c - 6 - 6, 5*d - 5*c = 0. What is l(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 + -4. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:27 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-10)*(18 + 36800\/(-2047)).\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1. Let p(f) = -2*f**3 + 2*f**2 + f + 3. Let v(o) = 3*b(o) - p(o). Suppose 3*s - 2*h - 16 = 0, 0 = 4*s - 5*h - 23 - 10. Determine v(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1100) - (0 + sqrt(1100))**2*-6) + -3.\nAnswer: 10*sqrt(11) + 6597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-2)\/1*(-1)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3\/4 - 7*t**2\/4 - 32*t + 105 = 0?\nAnswer: -10, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6978798?\nAnswer: 2, 3, 23, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 5*p - 5*p - 4. What is the remainder when i(-6) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 95905575 rounded to the nearest ten thousand?\nAnswer: 95910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -12. Let f = l + -3.6. Let x be (-1 - 25\/50) + ((-111)\/(-30) - 2). Put -10, f, x in decreasing order.\nAnswer: f, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56597 is divided by 1286?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.00959985 and -31.\nAnswer: -0.29759535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 112\/(-40)*(-4 - (3 - (-128)\/(-24))). Let m(n) be the first derivative of -20 + 0*n + 27\/2*n**2 + w*n**3. What is the second derivative of m(h) wrt h?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/70 + (-3)\/15. Let v = 1.49 - -104.51. Let j = -103 + v. Which is the second biggest value? (a) -2\/7 (b) j (c) r (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 106\/22 - ((-8)\/(-22))\/(-2). Let j = 1115 - 2231\/2. What is the nearest to -0.1 in n, 0.2, -3\/8, j?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 33302 (base 4) to base 5\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3101102655 to the nearest integer?\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -330311105, -330311108, -330311111, -330311114, -330311117, -330311120?\n\"Answer: -3*h - 330311102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.8580946 micrograms?\nAnswer: 0.0000000008580946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (3 - -12)) + (-48)\/(-7) - 1196\/(-322).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**4\/4 + 3*x**2\/2 + 2*x - 2. What are the prime factors of l(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i - 223 = 4*i + 259 + 379 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -8. Suppose -s*k + 0*t = 3*t - 113, 0 = -4*k + 4*t + 116. Calculate the remainder when 1 + -1 - (-72)\/1 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -9. Let l be 2*(i - (-2)\/6). What is the second smallest value in l, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 19*t - 32. Let h(x) = -x. Let q(u) = b(u) - 5*h(u). What is the hundreds digit of q(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*j**3 + 2 + 9*j**2 - 550*j**3 - 2 - 9*j**2.\nAnswer: -91*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10011020122 (base 3) to base 4\nAnswer: -33023000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -17. Suppose i*k - k**2 + 2 - 2 - 2*k**2 = 0. What is k?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/75))**(1\/37)*(c*c*c**27*c)\/((c*c\/c**(7\/8))\/c) assuming c is positive.\nAnswer: c**(663841\/22200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 + -124. Suppose 0 = -0*b - 4*b + 5*a - 42, 4*b - a + 34 = 0. Let v = r + b. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16285548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from {g: 7, i: 2}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25455\/2 - -12727. What is the third smallest value in q, 4, -0.1, 3, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 + 33. Let n = g + 34. Solve -15 = 3*h, -2*a - n*a - 5 = h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*x - 31 = w, 5*x = -25. Let k be (-1 - 0) + 1 + -1. Let t = 2 - k. Solve w = -f - t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**3*p + 101008*j**2*p + 14023*p + 2 with respect to j.\nAnswer: -3*j**2*p + 202016*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {r: 4, b: 1, j: 1, g: 4}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 19. Let w be a(-11). Let l be w\/(-3*3\/9). Let f be (12\/3)\/(-1) - 3*l. Solve -f*b = -d - 26, 2*d = -5*b + 9 + 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, 3, 24, 4, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/10, 0.3, 0.5, 8?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23088 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 54 in ascending order.\nAnswer: 1, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104311*h**2 + 209247*h**2 - 103346*h**2.\nAnswer: 1590*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/8 + 87*d**2\/8 + 159*d\/4 - 120.\nAnswer: -3*(d - 32)*(d - 2)*(d + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540685.\nAnswer: 5, 308137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgwwgggwwgwwuxxx. What is prob of sequence wwxu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100101101101101 (base 2) to base 13.\nAnswer: 2c807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -27*x**3 + 9*x**2 + 52*x - 19. Is o(-9) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -86, 0, -2, 2 in descending order.\nAnswer: 2, 0, -1, -2, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/627)\/(42\/378). Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*d + 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*i**2 - 80*i**2 + 7*i + 27*i**2 - 2*i**3 in the form m + g*i**3 + r*i**2 + u*i and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78095*w + 4*y + 60 = 78101*w, 0*y + 4*y + 42 = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/15 + 21068*g\/15 + 7022\/5.\nAnswer: 2*(g + 1)*(g + 10533)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*y - 55*y - 31*y - 25*y in the form u*y + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, g: 2, z: 9, l: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 4*y**3 - 5*y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-18))\/(1\/(-48)). Find the common denominator of (k\/54)\/((-5)\/((-1560)\/16)) and -109\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b + 1b813?\nAnswer: 1b83e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 4:25 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.683 * 1142\nAnswer: 779.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-140)\/25 - -7) + 3\/5. What is the third derivative of 140*x**2 - 2 + 113*x**6 - 73*x**j - 68*x**2 wrt x?\nAnswer: 13560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971 is divided by 119.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/8 and -71\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19887 is divided by 663.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b**3 - 8*b**3 - b**3)*(3*b - b + b).\nAnswer: -48*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -82 (b) -1\/5 (c) 3 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 544, -3, 4 in descending order.\nAnswer: 544, 65, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36\/1764305 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7638*-4.\nAnswer: 30552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, -0.011, 1\/5, 1.1, -1 in descending order.\nAnswer: 10, 1.1, 1\/5, -0.011, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 + 173. What is the smallest common multiple of 4 and s?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-14))\/((-1790)\/3759)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 162, -2 in decreasing order.\nAnswer: 162, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-16)\/(u*u\/(u*u*u**19)*u))**(-10))**(4\/3) assuming u is positive.\nAnswer: u**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4147.21 to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 54 - 18. Let a = 21 + y. Solve 5*j = a*j + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 v when three letters picked without replacement from {o: 3, v: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/(-14))\/((-22)\/(-4)). Is -1\/2 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -19*u + 186. Calculate k(6).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 2:11 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 12 = 3*n, 3*f - 5*f + 2*n = 8. Suppose 0 = 5*d - k - 14 - 4, 5*d - 3*k - 14 = f. Calculate the highest common factor of d and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2640 and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73 and 70.\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0*t + 0 - 5*t**2 - 1\/6*t**5 - 1\/24*t**6 + 0*t**3 - 5\/24*t**4. Factor c(a).\nAnswer: -5*a*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 6*z**2 - 23*z - 64. Calculate b(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81.2 - -86.2. What is the closest to -4\/9 in -1, y, -5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838032224.\nAnswer: 2, 59, 443873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 850, 852, 854, 856?\nAnswer: 858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/135 and 83\/12.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-364)\/286)\/(28\/77)*(-128)\/14?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12080 - -12925. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d - 5. Let j(z) = 4*z - 4. Determine 5*j(u) - 4*y(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * 166051.\nAnswer: 2656816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from yyygggyygy?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 441 + 5?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w. Let t(u) be the second derivative of -u**7\/504 + 2*u**4\/3 - u. Let b(m) be the third derivative of t(m). Determine o(b(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17727743 is divided by 362?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 488\/12)*-3. Let p = -81 + y. Let o = p - 16. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 42*h**3 - 445*h**2 + 1782*h + 12. What is d(4)?\nAnswer: 2708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(6\/(-3))\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + 4*j**5 - 2*j**5 + (-10*j**2 - 39 + 39)*(j**2 - j**2 - j**3) - j**5 + 2*j**5 - 2*j**5.\nAnswer: 11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2) - (25\/(-10))\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -5\/4, -0.4, 3956?\nAnswer: 3956","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2911.8 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20)\/(392\/(-92610))*(-362)\/(-543)?\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 32.1. Suppose -b - 3*b = 0. Let a = -27.4 + 28.4. What is the nearest to b in 3\/4, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/7, 1, -2.7, 766 in increasing order.\nAnswer: -2.7, -2\/7, 1, 4, 766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -29*t**2 - t. Let m(k) = k + 16. Let u be m(-17). Let g be d(u). Let f = -19 - g. Solve -s - 4*z + 6 = -0*s, -4*s + f = z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 6*z. Let r(h) = 11*h - 3*h**2 + z*h**2 - 11*h. Let t(p) = 4*p**2 + 2*p**2 - 7*p**2 + 7*p**2. Give t(r(q)).\nAnswer: 54*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2 + 55*c + 37. Calculate g(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45795699 to the power of 1\/2, to the nearest integer?\nAnswer: 6767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39308 is divided by 1267.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w - 53*w + 29*w + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 5, 7\/4, -1\/16, 73?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10286 and 452?\nAnswer: 2324636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 4*l**7\/21 + 8*l**6\/15 - 237*l**5\/40 - 509*l**4\/24 - 76*l**3\/3 - 12*l**2 - 1317*l - 1. Let k(q) = 0. Calculate q.\nAnswer: -4, -1, -3\/4, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + (-2 + -46)*(-1898)\/39 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**7\/21 - 2*l**6\/15 - l**5\/10 - 2*l + 2. Let t(p) be the first derivative of g(p). Factor t(s).\nAnswer: -2*s**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71831a (base 12) to base 4\nAnswer: 12301303012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/3*n - 5\/2 - 1\/6*n**2 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*292.37\nAnswer: 87.711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -543989465*d**2 - 198732694 with respect to d.\nAnswer: -1087978930*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163792, -327584, -491378, -655174, -818972, -982772, -1146574?\nAnswer: -1310378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 244*f**3 - 35*f**2 - 17*f - 47. Let l(b) = -61*b**3 + 9*b**2 + 4*b + 11. Calculate 17*l(r) + 4*q(r).\nAnswer: -61*r**3 + 13*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6732*n**2 + 2253*n**2 + 2253*n**2 + 2237*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 46 = 4*n, 2*n + 5*q + 19 + 17 = 0. Let k be 6\/(-27) - n\/18. Which is the closest to k? (a) 0.2 (b) 4 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000053404 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32328 by -8082.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 608*b = w + 600*b - 12, -2*b - 74 = 17*w - 284 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 1, 979, -123, 6 in increasing order.\nAnswer: -123, 1, 2, 4, 6, 979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3118599*k**3 + 792*k**4 + 3118599*k**3 + 1321 wrt k?\nAnswer: 3168*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/2 (b) 2 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 26*c**2 + 24*c - 85. Let q be l(-27). Let t = -13\/4 - q. Put 3, 5, t in ascending order.\nAnswer: t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364*n**2 + 376*n**2 + 241635 - 120821 - 120814.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-11 + 15 - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r*r\/(r\/r**7)*r)\/(r**(-7\/4))**3 assuming r is positive.\nAnswer: r**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 3 + 62*h.\nAnswer: 62*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c**2 - c**2 + 4*c**2 as o*c**2 + i + s*c and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + b**2 + 3*b - 2*b + 4*b - 10. Calculate the lowest common multiple of t(-8) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 603\/5 + -121. Let f = -1 + 1.5. Let b = -0.4 + f. Do b and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89\/1350 - -7\/50. Sort -1, i, 4\/7, 0.2 in increasing order.\nAnswer: -1, i, 0.2, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11498 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 9*y + 75. Let s(v) = v + 8. Let c(w) = 2*p(w) - 19*s(w). Let m(z) = 1 - 2 + 2. Determine -2*c(u) - 6*m(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -93, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3205 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -5, -2\/17, 1\/4, 0.4193?\nAnswer: 0.4193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62457 - -366?\nAnswer: -62071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -180 + 382. Let y(n) = -3*n**2 + 63*n - 121. What is the remainder when w is divided by y(18)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, z: 4, s: 1, k: 1, f: 8}. What is prob of sequence fxsk?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - -22. Suppose 4*r + v - i = 0, r - 44 = -2*r + 2*v. What is the highest common divisor of r and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -1\/3, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2. Let w be 1*33\/(-55) - (-853)\/5. Let y(r) = 35*r - 87 + w - 83. Calculate y(v(p)).\nAnswer: -70*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 20 = 4*i, -5*i + 6*z - 10*z + 16 = 0. Calculate the least common multiple of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 + 2*q + 97 + q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -8 + -3 + (2 - (6 - 12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3 = f + 1, -60 = -4*f - 5*g. Suppose b - f = -4. Let z(q) = 3*q + 20. What is the smallest common multiple of z(0) and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*q + 261, 0 = -5*a + 9*q - 13*q + 636. What is the highest common divisor of 752 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-8)*o))**(-7)*(o\/(o**(-12\/11)\/o)*o)\/(o\/o**(-1\/17)))**(-2\/19) assuming o is positive.\nAnswer: o**(-24696\/3553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 43353 times 6.6\nAnswer: 286129.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5, -53 = 3*i + 8*d - 12*d. Sort -3, 6, i, 1, -5.\nAnswer: i, -5, -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -1 - (-6 + 0). Suppose -2*w + c*w - 8 = 0. What is the second derivative of 0*i**w - i + 0*i**2 - i**2 wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 74. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1505508132?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 13) to base 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -33*d. Let r(a) = 206*a - 64*a + 152*a + 168*a. What is -4*r(l) - 55*x(l)?\nAnswer: -33*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 32 + 38 = 0. Solve g*z - 16 = 6*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*z + 6 = -10*z, -6 = -k + z. Let g(o) = o**3 - 7*o**2 - 7*o - 3. Let t be g(8). Let c = t - 5. Solve r - k = -c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/2)\/(5581260\/(-7368))?\nAnswer: -2\/303","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3576*g + 21 - 45.\nAnswer: -3576*g - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.061 and 58849889?\nAnswer: 58849888.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 - 3245*j\/2 + 1623.\nAnswer: -(j - 1)*(j + 3246)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37 and 1437.\nAnswer: 53169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 43 (b) 8 (c) -1\/6 (d) 1\/140\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 10 - 4)*(9*n - 3*n - 15*n + (-4 + 4 - 2)*(-n - 4*n + 4*n) + 2*n - n - 2*n + 12 + 2*n - 11 + 0*n + (-1 + 6 - 4)*(3*n - 2*n - 2*n)).\nAnswer: -98*n + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 5. Suppose 2*w + 14 = -4*o, p*o - 2*w = -2*o - 4. Let j be (o\/(-4))\/(-1)*-24. What is the highest common divisor of j and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -2. What is the smallest common multiple of s and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3406 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 1\/8 (b) -0.22 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17953, 71839, 161649, 287383?\nAnswer: 449041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11545 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -278 - -281. Suppose -a*c + 2492 = -2311. Round c to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*2)**2 + (sqrt(24)\/sqrt(3) - sqrt(2)) + (-3 + sqrt(18) - (sqrt(8) + -1))**2.\nAnswer: -3*sqrt(2) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 888 - 1494. Let l = i - -605. Let w = 1 - -4. What is the biggest value in 2, w, 4, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(256)*2 + sqrt(4)).\nAnswer: sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2947534 to the power of 1\/2, to the nearest integer?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*k + 210378 = 210372, 2*z = -9*k + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/14)\/((1344\/98)\/24))\/(14\/8)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/(-2))\/((-3)\/6). Let a(z) = 2 - 6 - 20*z + 19*z. Let g be a(f). Sort g, 1\/3, -0.3 in increasing order.\nAnswer: -0.3, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 11*o + 20 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwqtwawttqqawqwqww. What is prob of picking 1 a and 1 q?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 3. Suppose 2*a + 8 = -0. Let p be g(a). Suppose 2*u - 3*c - 149 = 0, u - p = -4*c + 8*c. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**4\/12 - t**3 + 5*t**2. Calculate s(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289.3313 decades to months.\nAnswer: 34719.756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -29. Let o be (1*2*s)\/((-30)\/(-165)). Suppose -2*z + 5*b + o = -9, -24 = -2*z + 4*b. Solve -j + 5*j = z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4494183 is divided by 30782?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -7936471.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28882785 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**3 + 2*i**2 + i - 2. Let d be j(-3). Let b = -24 - d. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17646 divided by -346?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.017?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**2 + w**2 + 2*w**2 + (2*w + 6*w + 19*w)*(-2*w - 3*w + 3*w).\nAnswer: -56*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 8. Let j be k(13). Let f = j + -13. Let q be (f\/10)\/((-20)\/50). Solve -2*p - q*p - 11 = a, 0 = 5*p - 5*a + 45 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -546313993 not equal to -546313992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -1 - (-1 + 0). Let p = -38664 - -38682. Solve 2*t - a + 6 = q, 6*a - 3*a + p = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39341 - 16089. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 + -3*4\/(-24). Suppose 13*d - 7125 - 25310 = s. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*f**3*n*t**3 + 107*f**3*n + 148*f**3*t**2 + 2*f**2 + 2*f*n*t + 3*f*t + n - 3*t**3 wrt t.\nAnswer: -90*f**3*n*t + 296*f**3 - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*s**2 - 69\/2 - 33*s = 0 for s.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -10\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 292*k*n**2*u**2 + 15*k*n - 39*k*u - 3*n**3*u**2 - n**3 wrt u?\nAnswer: 584*k*n**2 - 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/12556 and -191\/35040?\nAnswer: 1506720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*v + y, -3*v - 42 + 38 = 4*y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -1\/4 (c) 12 (d) -60\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9495 by -15211.\nAnswer: 9495\/15211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o + 25 = 11*o. Sort 5, 7, o in decreasing order.\nAnswer: 7, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 10 = -3*i. Let x = -66.4 + 66. Which is the closest to i? (a) -0.2 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*(sqrt(468) - (sqrt(468) + -4)) + 0 + (sqrt(468) - (sqrt(468) + sqrt(468) + 2)))*5)**2.\nAnswer: 194400*sqrt(13) + 712800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8975, 9603, 10243, 10901, 11583?\n\"Answer: f**3 + 621*f + 8353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 544 and 204.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 3:29 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 9. Let r(b) = b**3 - 2*b**2 + 4*b - 2. Let h be r(m). Let p(v) = -4*v**2 + 11. Let o(s) = s**2 - 3. Let i = -38 + 60. What is h*p(q) + i*o(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 79 and -1846908163.\nAnswer: -1846908084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*l + 5*k, -5*l - 3*k = 2*k - 5. Suppose 0 = -3*q - 15, -m + 0*q = -2*q - 12. Solve i - m = l*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1588.05 + -1588. What is the third smallest value in -5, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -12 + 8 - (3 + 12).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557594 = -3*s - 3*h - 557573, 82 = 2*s - 15*h for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-1 - (-5 + (5 - 1))) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7008 - 9921 = 1580*h + 3611 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 + 68 - 4*j + 16*j + j**2 + 10*j wrt j?\nAnswer: 2*j + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 0)\/(-4 + 39\/9). Let b be (-29)\/(-9) + u + (-100)\/(-36). Solve b*v + v = 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 15 = 4*i, -2*a - 6 = 4*i - 0*a. Let f be i\/((2 + 240\/(-116))\/(-2)). Let o = f + 125. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32 - 33 - 1274*d + 26 + 1069*d + 122 with respect to d.\nAnswer: -205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9659825*b - 525. Let t be v(-3). Round t to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/23, 1\/4, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*o - 239*o - 2225*o.\nAnswer: -2100*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-90)*12\/2*(-87)\/1740\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*y = -1250, 0 = 5*z - 41*y + 44*y - 1563. What is the remainder when z is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 190650 + 13756.\nAnswer: 204406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4831*l - 4833*l - 81*l**3 + 57*l**3.\nAnswer: -24*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*u + 5*u + 5*u + 0*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(-1)\/(-2) + 0. Suppose 4*v + 4*m - 88 - 28 = 0, 0 = 2*v - s*m - 38. What is the remainder when 99 is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -19*q + 118. Let z(w) = -17*w + 124. Determine 3*x(k) - 4*z(k).\nAnswer: 11*k - 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = -3*d. Suppose -18*h = -13*h + 75. Let m be (-9 - -3)\/((-10)\/h). Sort m, d, 1 in increasing order.\nAnswer: m, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -222962 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 8*r - 6. Let b = -36 - -57. Suppose 16*m = b*m + 5. Let a be (-3 + -1)\/m - (-4)\/2. Give u(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3760*x = 2337*x + 11616*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*a + 2)*(11440 - 3172*a - 11440) to n*a + c + t*a**2 and give t.\nAnswer: -6344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 2. Let t = 1 + j. Let n = t - -1.5. Sort n, 5, -4.\nAnswer: -4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -605?\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*d)*(4 - 7 - 3)*(25*d - 18*d - 24*d).\nAnswer: -306*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.77496mg to tonnes.\nAnswer: 0.00000007777496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 882548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = -3*s + 5*y, 2*y = 4*s - 3*y + 189. Let o = 130 + -59. Let j = s + o. Solve -4*t = -4*z - 1 + 5, 4*z = -4*t - j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-6 - -12)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/((-2)\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*r + 18. Let a = -6 + r. Suppose 3*j + 15 = a, -756 = -5*c + 2*j + 369. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216\/(-21) - (2090 + -2100)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 7, -3, 73, -0.5, -8\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 5:12 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1 + -11)*(-4)\/10. What is d in -8\/5*d**2 - 24\/5*d**3 - 18\/5*d**r + 0*d + 0 = 0?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -2 + -18 + 15. Let k be v\/4 - 1436\/(-16). Do 89 and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2))**(2\/7)*(r\/r**4*r)\/r**(-1))\/(r\/(r\/(r*r**(2\/21))*r)*r**(6\/5)*r**(1\/12)\/((r*r\/r**(-1\/10))\/r)) assuming r is positive.\nAnswer: r**(-159\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 9*z**2 - 3. Let k be l(9). Let t be 2*((-18)\/3)\/k. List the prime factors of t\/(-8) + (-686)\/(-4).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 17.9. Which is the smallest value? (a) -2\/3 (b) t (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 65, 408, 1327, 3110, 6045?\n\"Answer: 48*q**3 + 7*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*((sqrt(13) - (-5 + sqrt(117)))**2 - sqrt(52)*2).\nAnswer: -72*sqrt(13) + 235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.134795426 - 0.08379463. Let h = y - 0.051. What is h rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d - 12*d + 8*d - 9*d.\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*q - 6, -2*p - 8*q + 4 = -4*q. Is 10\/85 - (378864\/(-68))\/p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10498456 and -0.05.\nAnswer: 524922.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 124*j - 4. Let d(b) = -2*b**2 + 125*b + 5. Calculate 4*d(l) + 5*q(l).\nAnswer: 2*l**2 - 120*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9576 + 309?\nAnswer: 9883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 30*i = 308. Suppose 15*f - 4*f = i. Solve -f*c = -0*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/20 and 51\/18084980.\nAnswer: 18084980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82603091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10)*(-1)\/(-3). Let u = 2.97 + 1.922. Let j = -0.108 - u. Which is the third smallest value? (a) s (b) -2 (c) -1\/11 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*i = -10 - 11, 2*j - 2*i + 12 = 0. What is the common denominator of 1 + 55\/2 + 1 and ((-70)\/20 - j)*(-226)\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*g**2 + 44*g**2 - 12*g**2 - 15*g**2 + 25 as s*g + y*g**2 + v and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -172. Suppose 5*a - 4*x - 425 = -l, 143 = 2*a + 3*x. What is the highest common divisor of a and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 7\/4, 1.5, -1\/4 in ascending order.\nAnswer: -1\/4, -2\/13, 1.5, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/4*(-784)\/(-12). Let j = h + 178. Let p be (j\/(-48)*4)\/(1\/60). Round p to the nearest ten.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182.817 centuries to decades.\nAnswer: 1828.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*n = 73*n + 36 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**5 + c**4 + c**3 + c + 1. Let p(f) = 7*f**5 - 4*f**4 - 27*f**3 - 4*f**2 + 157*f + 189. Let h(m) = 3*j(m) + p(m). Let h(z) = 0. What is z?\nAnswer: -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*m - 837 - 27, -m = 1. Suppose 4*f - r = -9. Suppose 0*q - 2*b - 38 = -2*q, 0 = -3*q + 2*b + f. Solve 0 = -4*a + 6 - q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2 + 2)*(-5*g - 2*g - 5*g)*((g - 2*g + 0*g)*(4 - 1 - 1) + 5*g - g + g).\nAnswer: 72*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 6, -5*k = -3*v + 4*v + 14. Let j = -142 + 137. Let s(l) = -l**2 + 3*l + 2. Let d be s(4). Put v, d, j in descending order.\nAnswer: v, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 3. Let a(z) = 33*z - 17. Let o(c) = -a(c) - 6*l(c). Let m(d) = -2*d**2. Determine m(o(w)).\nAnswer: -3042*w**2 - 156*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = b. Let s be -1*(-14)\/21*6. Suppose s*f = 24 - b. Solve -3*y - 6 = f*a, 5*a - 2*y = -y + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.746913 + -820.740613. Let o = -803 - q. What is o rounded to 4 decimal places?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1027*y**3 - 2*y**2 + 10*y - 7. Give r(1).\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 293632\nAnswer: 5\/146816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 5991.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1682, 6679, 14994, 26627, 41578, 59847?\n\"Answer: 1659*u**2 + 20*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 8*j**2 - 10. Let m be p(-8). Let t be -6 + 3 - m\/4. Is t smaller than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 divided by -1?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 1:51 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 59424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 65, 75, 101, 149, 225, 335, 485?\nAnswer: 681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*i + 37 + 41. Find the common denominator of 1\/i*1241\/68 and 103\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, 2\/7, -1\/20, -4\/7 in decreasing order.\nAnswer: 0.5, 2\/7, 0, -1\/20, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 172?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/90)\/(1\/(-3)*67\/(-67)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -c - 5*g + 25, -4*c = -3*g - 34. Let y be 2\/(c + (-6)\/3). Suppose -3*j + j + 2 = 0, -n - 5*j = -3. Is n > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + -366649?\nAnswer: -366639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5001, -10002, -15003?\n\"Answer: -5001*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (0 + 1 + -3). Suppose s*a = a + 25. Solve 2*g + 11 = -a*l, -3 = 4*g - 3*l + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 + (6 - 8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 30 = 3*i. Let s be (i\/5 - -2)*3. Solve 2*c = s*c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*w**2 + 4*w**2 + 7*w**2)*(1 - 1 + 2*w) - 74 + 74 + 12*w**3.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2975923810 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1453, 4, -120, -18, -4.\nAnswer: -120, -18, -4, 4, 1453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 - 60. Suppose -t*c = -c - 8. Let u(s) = 3*s - c*s + 7*s - 4*s + 2. Determine u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39693796*f**2 - 160399313*f.\nAnswer: 79387592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34 from -325.\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*y + 50*y = 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + r = -2*r + 48, -5*v + 162 = -3*r. What is the remainder when v is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2039536, 2039534, 2039532?\n\"Answer: -2*h + 2039538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -78\/7 less than or equal to -33308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -15 - 12 + 17 + 12*j - 3 - j**2. Let t(l) = -3*l - 5. Let p be t(-5). Calculate the remainder when f(p) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-27) + 34\/9. Suppose -i*f + 29 = -2*o - 35, 3*f + 4*o - 59 = 0. Let y = f + 1. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.4 - -2.5. Round l to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*p + 90785 + 80215 = 0, 3*p + 513000 = -3*h. What is h rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from jjljjlyjljlyllljlj?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287688 is divided by 2012?\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-1248))\/(22\/66).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/5810 and 93\/2068990.\nAnswer: 171726170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18890196 divided by 121091.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 1331, 2562, 3771, 4952?\nAnswer: 6099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 99*r + 98*r - 9 in the form o + f*r and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 8*j**2 + 28*j + 147. Calculate p(-8).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(121)*1*-3*3)\/(-5*1*sqrt(66)\/sqrt(6)))**2.\nAnswer: 3564\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -418340?\nAnswer: -19\/418340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47024 or -47026?\nAnswer: -47024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + (-1)\/6)*4. Let p = 3.2 - 0.2. Let k = -1 - p. What is the closest to x in 1\/3, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27628?\nAnswer: 2, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-15) + -2 - 364\/(-65). Let s = -97 + 99. Solve 0 = -l - 5*d - 21, -s*l + 9 + 24 = -w*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 1, f: 1, k: 1, c: 1, x: 2}. Give prob of picking 1 c and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 3\/10*t**5 + 1\/3*t**4 + 0 + 1\/30*t**6 - 5\/2*t**2 - t - t**3. Factor k(m).\nAnswer: (m - 1)*(m + 1)**2*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. Suppose 0 = -d + b*d + 12. Let v be 1\/((-9)\/d + -1). Solve -3*y = v*y - 3*g - 8, -3*g + 2 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108 + 42. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 29167275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-25)*75\/(-18))\/((-3)\/(-9))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534\/((-185)\/((-4255)\/(-598)))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q + 25. Let t(x) = 16*x - 100. Let d(y) = -9*b(y) - 2*t(y). Calculate the remainder when 89 is divided by d(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from {j: 3, m: 1, s: 5, x: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 12:38 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 28. Let u = -62 + 36. Let a be 0 - ((-4)\/u - 14\/91). Solve 0 = 5*q - 15, y - 5*q + 20 + s = a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.136, -0.16589, 3?\nAnswer: -0.16589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + (-11 + 5 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 122 = 3*w, -90*a + 92*a + 33*w - 1132 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/d)**(42\/11) assuming d is positive.\nAnswer: d**(-126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8314394.4 + -0.3?\nAnswer: -8314394.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 8 = 7*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x - 20. Let u be v(-11). Factor 5*g**4 + 20*g - 13*g**3 - 20*g**3 + 8*g**3 + 23*g**u + 7*g**2 - 40.\nAnswer: 5*(g - 2)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202 + 207. Let k be (-1)\/4 - (-81)\/4. Calculate the greatest common factor of w and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 26796\/784)*(-2)\/(-5)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 3*i**2 + 130*i + 22. What is m(13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2\/5 - 12*x + 1728\/5 = 0. What is x?\nAnswer: -36, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -13, -24, -29?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 864 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 3638.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 113111221 (base 4) to base 16\nAnswer: 17569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -33*0.72687\nAnswer: -23.98671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/4 - 225*c**2\/2 + 936*c - 1896.\nAnswer: -3*(c - 4)**2*(c + 158)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.9 - 0.9. Which is the nearest to -1? (a) -0.2 (b) i (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 8, 2, 0.\nAnswer: 0, 2, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 13 = 3*l - 3*z, 4*l + 2*z = -14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 5:47 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + i - 1. Let g(l) = -12*l**2 + 17*l - 25. Let q(b) = -g(b) - 5*x(b). Is q(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 19 = -5*z + 59, 7 = 5*i - 3*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459314 + 63041 = -15*a + 133242. Does 41 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2. Let y(n) = -20*n - 24. Let a(o) = o + 1. Let t(l) = -24*a(l) - y(l). Determine i(t(r)).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214 + 4*z**2 + 214.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 2803. Let w(c) = c - 1400. Determine -2*p(u) - 5*w(u).\nAnswer: -u + 1394","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j. Let d(q) = q. Let l(k) = -3*d(k) + f(k). Let s(h) = 9*h. Give 4*l(z) - 2*s(z).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40db (base 14) in base 11?\nAnswer: 8434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*y + 8, -8 = 5*s + 2. Suppose 4 = y*r - 5. Suppose 0 = r*w - 28 - 20. Solve 2*u + w = -2*d, 0 = 3*d - 6*d - 4*u - 29 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*x = 268, -160 = 7*m - 10*m + x. Suppose -12 = 8*q - m. Suppose q - 145 = -7*p. Are p and 22 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41*a**2 - a**4 + 16*a**2 + 569*a**3 - 583*a**3 - 12*a.\nAnswer: -a*(a + 1)**2*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13865480, 27730960, 41596440?\n\"Answer: 13865480*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 26*w**2 - 21*w - 548. What is n(-26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19164105 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3 - 24576*p**2 + 98328*p - 98336 = 0.\nAnswer: -12292, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + z + 1. Let u(v) = 26*v**2 + 10*v - 5. Let b(p) = -2*c(p) + u(p). Let x(a) = -14*a**2 - 4*a + 4. Let n(q) = 4*b(q) + 7*x(q). Factor n(j).\nAnswer: 2*j*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47913\/4 + 11982. Find p such that 3\/4*p**4 - c*p**2 + 0*p**3 + 0*p + 3 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8220090 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.99 + 0.01. Let x be (-21)\/(189\/18) + -1 + 2. Put -3, f, x in descending order.\nAnswer: f, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_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 o(h) = -h**3 - 4*h**2 + h. Let s be o(-6). Let t = -131\/2 + s. Let a = 81 + -69. What is the nearest to a in t, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21374 + 21368. Put 2, 5, 1, -2, c in decreasing order.\nAnswer: 5, 2, 1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.0031m to kilometers.\nAnswer: 0.0100031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72811?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9 times 1?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1392\/(-128)*(-14)\/1. Let r = i + -153. Sort -1\/9, r, 0.07, -3 in descending order.\nAnswer: 0.07, -1\/9, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 87*t - 91*t + 7800, -2*t = 4*b - 15642. What are the prime factors of b?\nAnswer: 2, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7292.03334 - 7292. What is n rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010 - -11010?\nAnswer: 10001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2959551998?\nAnswer: 2, 13, 17, 227, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 l when three letters picked without replacement from {d: 5, l: 2, n: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) -1 (b) -1\/9 (c) 1 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - 0 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/42 - 11\/77\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 8798, 111?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-1695)\/165 - -9)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110069.6 millennia in months?\nAnswer: 1320835200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 - -1.68. Let x = 0.09 + k. What is x rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959913107?\nAnswer: 959913107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7178000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0*k + 9*k**2 + 0 - 2\/3*k**3 - 1\/24*k**4. What is g(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 13. Suppose 3*m + 8 + y = 0, 3*n + m + 15 = 0. Calculate the common denominator of -27\/4 and (-1)\/(1 - (n - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8963a (base 12) to base 15.\nAnswer: -3906a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/9 - 143*q**2\/9 - 3958*q\/9 + 23240\/9.\nAnswer: (q - 166)*(q - 5)*(q + 28)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from oxxxxooxxxxx.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/11, -50, 24\/11, 0.5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide (-81)\/54 - (141864\/8)\/(-1 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/2)*l*l*l\/l**5*((l\/l**(-6))\/l)\/l*l**4*((l**(2\/3)\/l*l)\/l**(2\/7))\/(l**(-1\/4)\/(l\/(l\/l**(-1\/4)))) assuming l is positive.\nAnswer: l**(331\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 7:37 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28187 - -800. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 5*b**3\/3 - 1. Suppose -18*f + 21 = -11*f. Let r(s) = 11*s - 13*s + 3*s + 0*s + f*s. What is j(r(v))?\nAnswer: 80*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*6*sqrt(891)*3*-5 + 5)**2.\nAnswer: 34020*sqrt(11) + 64953949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(4)*-3*3)\/((sqrt(6000)*1)\/sqrt(5)) + 2.\nAnswer: -9*sqrt(5)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(624)\/(sqrt(12) + sqrt(72)\/(sqrt(12)\/sqrt(2)) + sqrt(12)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23706 and 35559?\nAnswer: 71118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 5:42 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3783277 >= 71882286\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 36.29. Let a = 5.21 - c. Let q = -1.5 - a. Sort 1, q, -2\/3 in descending order.\nAnswer: 1, -2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -189, -5, 4 in ascending order.\nAnswer: -189, -27, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 112*f**2 + 6*f + 201. Calculate d(-56).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -39*o - 3. Let p = 70 + -59. What is the remainder when i(-2) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Let b(w) = w + w + v + w - 2*w. Give b(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.89514 + 6.03. Round i to 3 decimal places.\nAnswer: 0.135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2 = h + 1, 0 = 5*v - 4*h - 2. Let d be v - (-7)\/(280\/95). Sort 0, d, 0.5.\nAnswer: 0, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16454, 16188, 15870, 15500, 15078?\nAnswer: 14604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-30) - ((-5)\/6 - -2). Let m be (-1)\/v*1 + 3. Solve 0 = -l + m*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 927 from -3.\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170415, -341655, -512905, -684171, -855459, -1026775, -1198125, -1369515?\nAnswer: -1540951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 0)*(3*l + l - 2*l) + 5507*l - 1634*l + 7654*l to w*l + u and give w.\nAnswer: 11523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-30) - ((-74)\/12 - 4). Let q(o) = o**3 - 8*o**2 - 13*o - 30. What is the lowest common multiple of 20 and q(d)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/5688 and -35\/15563.\nAnswer: 1120536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*b**3*s**3*y**2 - 362*b**3*s**3*y + 2*b**3*s + 48*s**2*y + 74*y**2 wrt s.\nAnswer: 186*b**3*y**2 - 2172*b**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(1\/4))\/z)\/z*z*z**(-3\/2)*z)\/(((z\/(z*z**(-6\/11)\/z))\/z)\/z**(1\/5))*(z\/(z*z\/(z**(-7)\/z))*z)\/z**5*(z*z\/z**(-1))**2 assuming z is positive.\nAnswer: z**(-1781\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1.3, -248\/41?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnjbnz. What is prob of picking 1 n and 1 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 46\/4 + 3726\/828. Solve -67*g + r = -51*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.35, 3, 2\/5, 280\/11?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/6)\/((-3)\/18). Suppose y*g = -2*t, 2 = g + 3*t - 0. Let k be (g + 5)*(-15)\/12. Put -0.3, k, -1 in decreasing order.\nAnswer: -0.3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 654423, 1308813, 1963167, 2617467, 3271695, 3925833, 4579863, 5233767?\n\"Answer: -3*j**3 + 654411*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, 48, 96, 154, 222, 300?\n\"Answer: 5*i**2 + 23*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/4 (b) -35 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3\/3 + 7360*s**2 + 1531440*s + 81648000.\nAnswer: 5*(s + 108)**2*(s + 4200)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 10.91. Let j = 0.09 + b. Put 1\/2, -4, 0.1, j in decreasing order.\nAnswer: 1\/2, 0.1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*sqrt(76)\/sqrt(4)*-5 - 4*(sqrt(19) + 3 + -1)).\nAnswer: -29*sqrt(19) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*p, 27 = 3*f - 6*p + 4*p. Let u(d) = d**3 - 10*d**2 - 8*d - 16. Let y be u(f). Solve -h + 5*x = 2*h - y, -h = 2*x - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k + 160 = 8 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11120210 (base 3) to base 2\nAnswer: 110100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 304 = -7*m, 83*y - 79*y - 2*m - 80 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -972d0 - -9?\nAnswer: -972c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -254\/315883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/8151 and -46\/3705?\nAnswer: 40755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -17 + 5 + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 23*c - 792. What is x(34)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/12 and -5\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*m + 44, -3*m = r + 1 - 15. What is the lowest common multiple of r and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9, 2, -7, -18?\n\"Answer: -u**2 - 4*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.3. Let p be 20\/42 - 2\/(-3). Let d = 39\/28 - p. Which is the biggest value? (a) -3 (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.625 + -12.725. Let a = z - -2.45. What is a rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 12:08 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42340 (base 5) in base 13?\nAnswer: 13ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, 4, 8.\nAnswer: 4, 8, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = 4*b - 144 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = z - 43 + 32, 5*z = 5*p - 55 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v + 5. Does v = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 40 + (-10 - 30 - -48).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -237 - -247. Suppose j*n + 27 = 47. Put 0, n, 18 in descending order.\nAnswer: 18, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 110002100?\nAnswer: -110001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 4*g. Let w(v) = -v**2 + 14*v - 53. Let i be w(5). Let q be i\/(-4 + -2 + 4 + 0). What is o(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4231 (base 6) to base 14.\nAnswer: -4c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28023 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/6 + -1)\/((-4)\/6). Let k be p\/((-4)\/97) + (-6)\/12. Suppose m = -0*i + 4*i - 19, 0 = -5*i - 3*m + 45. What is the greatest common factor of i and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -140, -71, -1117 in descending order.\nAnswer: -71, -140, -1117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*i - 56948933 = -56944083 for i.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 39. Suppose -s + z = 2. Suppose t + 0*t + 2*l = 58, s = 2*t - 4*l - 84. 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: Let h(s) = -2*s**3 - s. Let l(a) = 2*a**3. Suppose b = -3*i - 6, 8*b - 3*b + 3*i - 6 = 0. Let x be (-108)\/18 - (0 - b). Calculate x*l(j) - 2*h(j).\nAnswer: -2*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9540, 19073, 28596, 38109, 47612, 57105?\n\"Answer: -5*o**2 + 9548*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9553, -19068, -28579, -38086, -47589, -57088, -66583?\n\"Answer: 2*u**2 - 9521*u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 967, 999, 1025, 1045, 1059, 1067, 1069?\n\"Answer: -3*x**2 + 41*x + 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 5*c + 3. Let p be x(-5). Which is bigger: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5 + 2\/5*i**2 + 0*i.\nAnswer: 2*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = 6. Let h(u) = -4 + u + k + 4 - 3. Let d(v) = 1. What is -3*d(g) - 2*h(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125168 + 125169.16351. Let b = 1.155 - x. What is b rounded to 4 decimal places?\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -365888*g**2 - 140723 with respect to g.\nAnswer: -731776*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4\/5 + 14127*r**3\/5 + 63305739*r**2\/5 + 72338997261*r\/5 + 5232319707876.\nAnswer: -3*(r - 7820)*(r + 1037)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-12)*-1*-8. Differentiate -7 + 6*m**2 + 9*m**2 + 2*m**2 + 4*m**u wrt m.\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225135, 225143, 225151, 225159, 225167?\nAnswer: 225175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.296149 from 0.5.\nAnswer: 1.796149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - f + 13, 0 = 5*p - 0*f + 2*f - 23. What is the derivative of 319 + v**p - 2*v + 243 + 16*v**3 - 669 wrt v?\nAnswer: 51*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-24))\/(1\/4*5). Sort -1\/2, -1, o, 7 in ascending order.\nAnswer: -1, -1\/2, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214 (base 5) to base 6.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/4*-10*(-12)\/(-2448)*17. Sort x, 5, 2, 1\/7 in ascending order.\nAnswer: x, 1\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**2 - 2*f**2 - 2*f**2)*(-13 - 4*f**2 + 6*f**2 - 5*f**2) in the form k*f**3 + h + d*f**2 + o*f + l*f**4 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 596961862 divided by 8342?\nAnswer: 71561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 + 3*w**2 + 0*w**2)*(-2591*w - 12442*w + 3477*w).\nAnswer: 23112*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -55773.4 take away -55689.02?\nAnswer: -84.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(132)\/sqrt(3).\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiixggxxi. What is prob of picking 1 i and 1 g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - c + 12 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 27 + 27.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, t: 3, q: 5, j: 1, y: 5}. Give prob of sequence tjct.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00651847 to 4 dps.\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2\/7*l**2 + 2\/7 - 4\/7*l = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m = 6*m + 56 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 3*n**2 - 23*n + 4. Give l(10).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12073.5117 seconds to days.\nAnswer: 0.13973971875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 6*h**2 + 3*h + 3. Let t be v(-5). Suppose 9*g = 229 + 5. What is the greatest common divisor of t and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(1\/3)\/c))**(-17)*c**(-2\/5)*(c\/(c\/((c\/(c*c**(-3))*c*c)\/c)))\/c assuming c is positive.\nAnswer: c**(-386\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*l, l + 17 = 3*t + 3*l. What is the first derivative of 2 + 3*q**3 - 2*q**3 + q**t - 12 wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 3*t - 4 + (6*t + 2 - 2*t + 2*t)*(-6 + 4 + 4).\nAnswer: 15*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141 (base 7) to base 9.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 549 and 367647?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(8\/5)*i**(1\/26)*i)**28)**2 assuming i is positive.\nAnswer: i**(9604\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20451 + 71062 = 5*g - 2*v, 10133 = g + 5*v. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*l + 10 = -3*a, 0 = -4*a - 5*l - 16. Let f be (15\/(-12))\/((-3)\/(-12)). Let c be (f\/((-5)\/(-2)))\/2. Which is smaller: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/9)\/(((-172)\/(-387))\/(-2)))\/(18\/(-40))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round -886.2 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 4) to base 12.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1891*n - 315*n + 42954 = -273*n - 3438 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 3*j - 2. Let p be (2\/(-2))\/(25\/275). Let h(y) = 5*y**2 + 8*y - 6. What is p*t(s) + 4*h(s)?\nAnswer: -2*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9)\/(j\/(j*j*(j\/(j\/j**8))\/j*j)))**(-28\/5)*(j*j**(-2\/5))**(14\/3)\/(j**(-5)\/((j*j**(2\/11)*j*j)\/j)) assuming j is positive.\nAnswer: j**(-19391\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4488 - 4494. What is the closest to -2\/7 in 9, q, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 + p**3 + 3*p**3 + (3*p**2 - p**2 - 4*p**2)*(-1 - 3*p + 1) - 4*p**3 + 5*p**2 - 5*p**2)*(-3 + 0 + 1).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + o + 18, -2*c + 2*o + 22 = 2*c. Put c, -5, -3 in decreasing order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1283\/15 - 2087\/24. Find the common denominator of 19\/15 and y.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 1696, 1 in decreasing order.\nAnswer: 1696, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-8)*y*y)\/y)**(4\/23)\/(y\/(y*y\/(y*y\/(y\/(y*y**(-4)\/y)))))**(23\/5) assuming y is positive.\nAnswer: y**(2016\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, b: 2, d: 2, n: 1, u: 4}. Give prob of sequence huu.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 681\/2497 - (-214)\/22\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*l = -3*l + 522, 0 = -4*c - 5*l + 406. Suppose 45*m + 176 = -3*n + 43*m, -3*n = m + 181. Let o = c + n. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 16 - 10. Suppose 2*w + 2*o = 110, -3*w - i*o = -127 - 40. Suppose -55*n + w*n = 216. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/12*2*2. Suppose h + 1 = a, -4*h - 7*a + 28 = -i*a. Solve 4 + 2 = -h*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.8, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 354279 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7282?\nAnswer: 2, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byjbjyybyzbjjbyjb. What is prob of picking 2 b and 1 z?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, i: 3, u: 4, j: 2, v: 1}. Give prob of sequence jiv.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -986*d**3 + 2*d**2 + d + 2. Let s be m(-2). Let w be (-2)\/(-1) + 28\/14. Suppose 0 = -3*i + w*x + s - 2509, x = -i + 1805. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2568.1204 to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12*n - 10. What is the smallest common multiple of y(1) and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/(1\/9) - -5. Let r(d) = 16*d**3 + 1. Let o be r(-1). Let w = 12 + o. Which is bigger: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14839 - 13949. What is the third smallest value in -0.3, 0.3, n, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 1:17 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2105, 2098, 2087, 2072, 2053?\n\"Answer: -2*k**2 - k + 2108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = 4*l + b, -b = -3*l + 2. Let o be -7 - (-9 - (27 + -1)). Suppose -o + 240 = 53*n. Sort 2, -10, n, l in descending order.\nAnswer: n, 2, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-5)*-10 + 2. Put -3, -10, u in decreasing order.\nAnswer: u, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 38. Let k be l(-14). What are the prime factors of (-1389)\/(-7) - (k\/7 + -2)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/9 - (0 + 1). Let r be -2*((-4)\/(-32))\/(((-45)\/300)\/(-3)). Let m = -0.1 - -0.1. What is the closest to 0 in r, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/9*-21 - -952?\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d**5 + 16*d**5 - d + 14*d**5 - 13*d wrt d?\nAnswer: 500*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v. Let q(f) = -2*f. Let k = -3 + 4. Let p be ((-6)\/(-4))\/(k\/2). Give p*t(z) + 5*q(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18728197\/41800 + 8514\/19. What is the common denominator of 23\/60 and x?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 3*u - 48. What is r(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 1. Let n = d - 3. Let v(c) = -10*c - 7. Let s(l) = 5*l + 3. Let g(y) = -9*s(y) - 4*v(y). Give g(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9639, 38787, 87425, 155529, 243075?\nAnswer: 350039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-49) + 416\/14. Calculate the highest common divisor of 20 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/14))**44 assuming z is positive.\nAnswer: z**(286\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-192)\/(-16))*(-1)\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 34701 to the nearest one hundred.\nAnswer: 34700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8000)\/(5*(-4)\/(-4350)). Round b to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 8*p + 11. Let d be v(-5). Let z be 165\/35 - d\/14. Which is the second smallest value? (a) -1\/3 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*v + 174, 146 = -5*v - 2*u + 552. Let i be ((-41)\/v)\/(7 + 1). Let r = -18 - -22. Which is the smallest value? (a) i (b) r (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 10\/3. Let u = -0.9 + 0.5. Which is the closest to r? (a) 2 (b) u (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**2\/2 + 10*h + 6. Let d be u(-6). Solve 0*o - 12 = -d*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjqmqmjxojqjoojoqm. Give prob of picking 2 m and 2 q.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 2 - 2 + ((0 - l + 0)*(0 + 1 + 0) - 2 + 2 - 7*l)*(537*l - 2675715 + 2675715) as p + j*l**2 + k*l and give j.\nAnswer: -4297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 364*s**4 + 11808*s**3 - 2915964*s**2 - 1283488*s - 128400 = 0.\nAnswer: -107, -2\/7, -2\/13, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 5*r**2 - r - 5. Let w be y(-5). Suppose w = 4*g - 4*v + 4, -3*g + 4*g - 3*v = 3. Sort -21, 4, g.\nAnswer: -21, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a*a*a**(-3)*a)\/a*a*a))\/a)\/(a**3*a))\/(a**(-2\/25)*a\/(a**(-9)\/a*a*a)) assuming a is positive.\nAnswer: a**(-348\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - ((0 + sqrt(80))*1 + sqrt(80))) + (sqrt(80) - (sqrt(80) + sqrt(80) + -1 + sqrt(80))*3))*5)**2 + 3*(-2*sqrt(80)*3 + -3).\nAnswer: -5472*sqrt(5) + 162216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -23. Let f(v) = -1. Let o(z) = z + 2. Calculate x*f(b) - o(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3 + 500082*s**2 + 1000158*s + 500078 = 0. Calculate s.\nAnswer: -250039, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4212078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3015001?\nAnswer: 11, 17, 23, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 1. Let y(g) = -6. Let m = -433 + 434. What is m*y(n) + 6*a(n)?\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -2444.\nAnswer: 2\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24010629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -4. Suppose -4*k - 8 = n, k - 4 = 2*f + 2*k. Let u = 44 + -43. Put 2, u, f in decreasing order.\nAnswer: 2, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 2)*1*-1. Suppose 5*k - 22 + 2 = n. Which is bigger: k or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8308 and 208444?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2566, -2562, -2556, -2548, -2538, -2526?\nAnswer: -2512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 979669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Suppose 0 = -o - v*o + 16. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235094.\nAnswer: 2, 41, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, 2\/27, -2\/3, -0.3, -4?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.025 - -0.025. Which is the closest to 4? (a) i (b) 0.3 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by ((-2)\/5 - (-42788)\/1520)*4.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-8)*(-15)\/70. Sort h, 1.1, 1\/9 in descending order.\nAnswer: 1.1, 1\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -138*h**5\/5 - 674*h**4\/5 - 748*h**3\/5 + 648*h**2\/5 + 208*h - 128\/5 = 0.\nAnswer: -2, 8\/69, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**2 + 4*h**2 + 18*h**2 + 55*h**3 - h**2.\nAnswer: 55*h**3 + 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18*2)\/3)\/(-2). Find the third derivative of -4*a - 3*a**x + 2*a**2 + 4*a - 3*a**2 wrt a.\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -97 and 32.253.\nAnswer: -3128.541","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 8 = 11*m. Let n(o) be the first derivative of -1\/2*o**m + 0*o + 2 + 1\/3*o**3. What is the second derivative of n(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 0)*(248 + -12).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 + 26*p**3 - 96*p**2 + 136*p - 64.\nAnswer: -2*(p - 8)*(p - 2)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.32, 1 in ascending order.\nAnswer: 0.2, 0.32, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(sqrt(119) + 1*sqrt(119)))\/sqrt(7) - -4*((-1*sqrt(153))\/sqrt(9) - sqrt(17) - sqrt(17) - (sqrt(153)*-1 + sqrt(153))\/sqrt(9))**2.\nAnswer: -6*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9973 - 1709 = -6*i. List the prime factors of i.\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + -2)*(-37 + 36). Let b be -2*(2 + -22 - 0). What is the greatest common factor of b and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 36, 3, -108, -2.\nAnswer: -108, -3, -2, -1, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -10. Let z = 8.3 + -8. Which is the nearest to 0.1? (a) 0.5 (b) l (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21083 = 4*q - 0*q + 3*k, -5*k - 35 = 0. What is the remainder when q is divided by 220?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/13))**(13\/5) assuming n is positive.\nAnswer: n**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1894446*b - 1894427*b + 152 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 12 = -24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1101?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-15) - 285\/100. Which is greater: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*c**(2\/5)))\/c*c)**(-3))**(-33))**(-39) assuming c is positive.\nAnswer: c**(7722\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123156 is divided by 226.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5)\/h*h**(2\/11))\/((h\/(h\/(h\/h**1*h)))\/h)**(1\/46))\/(h**4*h\/h**(-6\/7)*h*h\/(((h*h**(-4\/9)*h)\/h)\/h)*h*h*h\/h**5) assuming h is positive.\nAnswer: h**(-8399\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*k = -52*k + 1251 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Let b be (-9)\/(-5) + 8\/40. Suppose -b*o - 12 = -6*o. Sort 1, o, u in decreasing order.\nAnswer: o, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870 times -4?\nAnswer: -7480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000023353 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a + 45 = 0. Let d = -204 - -144. Is 1\/3 - d\/a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 345 divided by -345\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 17*u - 407. Let w be m(24). Let c = -49 - -55. Solve -b - 3*h + w = 0, -2*h + c = 4*b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 9 = -74*z + 72*z - 3*j, 18*j + 64 - 90 = -4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13 + 7 - (-88)\/4. Suppose -13*g = -s*g + 1173. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 5. Let j be (b\/(-10))\/((-16)\/(-40)). What is the greatest common factor of 8 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 4, -10.\nAnswer: -22, -10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47538834 and 6791262?\nAnswer: 47538834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 278 + -142. Calculate the remainder when p is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14563 + -14564. What is the nearest to 56 in m, -5, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**2\/5 + 6808*x\/5 + 8936832\/5 = 0.\nAnswer: -5032, -1776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.011 + 0.011. What is the closest to x in 0, 1\/5, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 21, 49, 89?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1963 or 11773\/6?\nAnswer: 1963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -143*d**2 - 4*d. Let y be s(-4). Let a = -203\/4304 + -127055745\/55952. Let c = y - a. What is the common denominator of -14\/9 and c?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/77*21\/(-6). Which is greater: y or -4\/77?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11641, -22860, -33653, -44020, -53961, -63476, -72565?\n\"Answer: 213*y**2 - 11858*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 2 - 1) + -1 + 41 + -28?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**3 + 18*r**3 + r**3 - 3*r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75956 and 62552?\nAnswer: 1063384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.21 to zero dps.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdxqfxx. Give prob of picking 1 x and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.9 + 3. Let b be -2 - -3 - -1 - -1. Let f = b - 10\/3. What is the closest to m in f, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 1564*u**4 + 3*u**3 - u**3 - 8*u + 1562*u**4 to the form z*u**2 + o*u + l*u**3 + f + c*u**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 2*c + 32, 5*c - 55 = 2*k - 63 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 307164 divided by 2327.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 34317328835.265 and -0.3.\nAnswer: 34317328834.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-21*m + 5442 + 5450 - 10894).\nAnswer: -21*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 11:58 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -354578 divided by 5719?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + j = -8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 1520?\nAnswer: -1519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) + 33\/(-9). Let m = 5 + -5. Put z, 2, m in decreasing order.\nAnswer: 2, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 5\/6*j**3 - 9\/2*j**2 + 0 - j. Is h(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9069\/4 + 27215\/12. Factor -2*c**2 + 0 + u*c - 2\/3*c**4 + 2*c**3.\nAnswer: -2*c*(c - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 13 = y, 0 = -5*y + 8*q - 9*q + 49. Solve -3*w + y*w - 24 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -115*a + 1278 - 473 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1073, 2285, 3523, 4799, 6125?\n\"Answer: 2*y**3 + y**2 + 1195*y - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31200 divided by -10?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1237*x + 10985 - 20881 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80061790*i*v**3 + 2*i*v**2 + 19572*i*v - 1409*v**2 wrt v?\nAnswer: -480370740*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5038 - 2991*k + 2436 + 2602.\nAnswer: -2991*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181089732, 181089730, 181089726, 181089720, 181089712, 181089702, 181089690?\nAnswer: 181089676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -598 (b) -2 (c) -11 (d) -1 (e) -2\/7 (f) 3\/5 (g) -329\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 8 = -3*x, 3*x - 6*x + 4*f + 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n - 32. What is d(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 78 = -2*n, 40919*v - 5*n = 40922*v - 211 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258\/11*h + 2\/11*h**5 + 26\/11*h**4 + 268\/11*h**2 + 124\/11*h**3 + 90\/11 = 0 for h.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-9) + -2)*114\/22. Let q(p) = -12*p - 116. Let z be q(-9). Which is smaller: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1935483 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66504 and 816.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 4*x**2 + 17*x + 117. Let p be s(-5). Is (-1 - 9\/(-6))\/(p\/9058) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10*j. Suppose 5*u - 112 = -2*o, -4*o = -3*u + 2*u + 18. Let p(l) = 2*l - 2*l + l. Give u*p(h) - 2*b(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -45408.19908 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 405055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -44 + (-6 - 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*o**2 + 114*d**2*o + 62*d*o**2 + 26450*o**2 wrt d.\nAnswer: 4*d*o**2 + 228*d*o + 62*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 11. Let m be (2\/(-1) - t) + -1. Suppose -5*h + g = -14, 0 = h - m*g + 3*g + 2. Solve h + 2 = -2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**4\/6 + 19*c**3\/6 + 17*c**2\/2 - 3*c. Is y(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.11939062 to two dps.\nAnswer: 67.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110201 - -20222?\nAnswer: -12202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14 - 8) + (1 - 221). Let m = -1067\/5 - i. Which is the closest to -1? (a) -2 (b) m (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6669, 6670, 6671?\nAnswer: 6672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**3\/3 + 5. Let x(b) = 21*b. Give h(x(r)).\nAnswer: -441*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 120830\nAnswer: -7\/120830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*o - 19 + 148, -5*j + 289 = 4*o. Calculate the highest common divisor of 32 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 8. Suppose -4*i + 8 + 2 = d, -16 = -4*d - s*i. Solve -3*b = d*v + 11, 3*v = v - 5*b - 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.869 and -1.\nAnswer: -5.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -52. Let d = j - 26. What is the second derivative of 16*o + d*o**3 - 11*o**3 - 28*o**3 wrt o?\nAnswer: -108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 386 - 381. Let j(v) = v**3 - 5*v**2 + 5*v - 1. Let h be j(4). Suppose h*a + 16 = 2*l, 2*a + 3 = 5*l - 15. Solve i = l*i + x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckc when three letters picked without replacement from {c: 2, k: 4, q: 3}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -3*r. Let o be (r\/(-4))\/((-3)\/(-30)). Let q(x) = 4*x + 5 - 49796*x**2 + 24892*x**2 + 24905*x**2. Give q(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 + -2 + 3 + -2. Let m = h + 8. Let f = -0.5 - -0.3. What is the closest to m in 2, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 - 51 + 0*d - d + 54 - 2*d**4 - 3*d**2 to the form x*d**3 + c*d**4 + t*d**2 + b*d + j and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -5, -2362, 4, 5, -14 in descending order.\nAnswer: 5, 4, 1\/5, -5, -14, -2362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (16 - (21 + -7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125573798 + 125573798 + 6054*p.\nAnswer: 6054*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -54. Suppose -5*v + 38 = 2*c, c + 0*c = -5*v + l. Suppose -5*f = -1 - c. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 270*g**3 + 6 + 10 - 328*g**3 wrt g.\nAnswer: -174*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - k**3 - 19*k**2 - 4*k**3 - 531903*k + 531903*k in the form o*k + d + f*k**3 + i*k**2 and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uttuutituituuttutu. What is prob of sequence iit?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**6\/72 + z**5\/12 + 25*z**4\/8 - 35*z**3 + 36. Let f(m) be the third derivative of v(m). Determine k, given that f(k) = 0.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 1. Let p be ((-30)\/4)\/(9\/(-18)). Let z = p - 8. Calculate y(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 13*p**2. Let s(u) = 7*u**2. What is -6*g(x) + 11*s(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 612 and 18?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 26*q**2 - 3*q + 72. Calculate n(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4)*d)\/(d*d*d**(-35)*d))\/(((d**(5\/8)\/d)\/d)\/d*d\/(d*((d\/((d*d**(-26))\/d*d))\/d*d)\/d)) assuming d is positive.\nAnswer: d**(481\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (46\/14 - 2). Let m be 4\/(-2) + 34\/14. Put m, 4\/7, k in increasing order.\nAnswer: k, m, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b - 1. Let p be q(1). Let w(s) = -4*s + 3. Let o = -1 + 8. Let k(x) = -x - 2*x + 2 + x. Determine o*k(g) + p*w(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220001210202120 - -1?\nAnswer: -1220001210202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 7:31 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 106392641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmeemwemmmmeemmmmmmm. What is prob of sequence ew?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1599, -6514, -14717, -26202, -40963, -58994?\nAnswer: -80289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 74. Solve -5*x**4 + x**4 + 76*x**3 + 260*x + 252*x**r - 224 + 312 = 0 for x.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4, 4\/83 in descending order.\nAnswer: 4\/83, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/18)*y\/((y**2*y)\/y))**(-44) assuming y is positive.\nAnswer: y**(418\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 i when four letters picked without replacement from bbiiiiibiii?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-4 - (7 - 1 - 10)) + 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -16 + 4. Let a = x - -19\/3. What is the closest to a in -3\/8, 5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23878*y + 23877*y - 104 + 553 + 3*y**2 - 4*y**2 - y**2 to f*y + c*y**2 + k and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 - 478 - 1100 = -78*x + 2636 for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0)*2*1. Which is the smallest value? (a) 1\/4 (b) 5 (c) p (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 - d803?\nAnswer: -d7de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + b**2 - b**2 + 2*b - b**2 - 2*b - 1 + 1 + b**2 + (-2*b + 2*b + 2*b)*(-3*b + 2*b + 2*b) + 5*b**2 - 4*b**2 - 3*b**2 - 117741*b - 59*b**2 + 117741*b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/4 of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 4*x + 5*x)*(5 + 2 - 2 + (1 + 4 - 3)*(-3 + 2 - 1) + (3 - 3 + 1)*(1 + 2 + 0) + 2 + 1 + 12).\nAnswer: 57*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.6 and 1596545?\nAnswer: 1596541.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/21)\/((-8)\/28) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*n = -27, -5*n = 128 - 88. Solve s + 15 = -z + 13, 10 = -b*z + s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -122 + 117 - (-3 - -2 - 13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 3*n + 4. Let x be l(3). Let k = x + 15. Suppose 0 = 3*m - 20 - k. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-78)\/273*9\/276. Are q and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(((-8)\/(-70))\/(75\/(-375)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -438*m + 1263*m - 284*m + (2 + 4 + 0)*(-1 + m + 1) to u*m + n and give u.\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c - 1. Let r = 3 - 4. Let a be n(r). Find the second derivative of -s - 4*s**2 - 4*s + a*s wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 44559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*f + 66, -41*i - 40 = -3*f - 39*i. Solve -f*c + 19 = 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103752 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 38611430?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176625, 174729, 171575, 167169, 161517, 154625?\nAnswer: 146499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (1 - -2) + -1. Let u be 10\/f - 3\/9. Suppose 4*j + 2 = u*j, j + 42 = 4*i. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 19*c - 4. Let l(b) = -19*b + 5. Calculate 3*l(r) + 4*w(r).\nAnswer: 19*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -308*j - 64. Calculate y(-1).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 + m**3 + 0*m**3)*(-m - 3 + 3) + 2*m**4 - 4*m**2 + 4*m**2 + 3*m**4 - 5*m**4 - m**4 + 15*m - 15*m - 15*m**4.\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imbm. What is prob of sequence im?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.69 (b) -25 (c) 0.5 (d) 612\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 12699*z - 12701*z - 7 = b, 0 = 3*z - 3*b - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 2758910*f**2 - 2745149*f**2 - 2*f as l + j*f + y*f**2 and give y.\nAnswer: 13761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -11\/2*c**2 + 0 - 1\/4*c**5 - 5\/6*c**3 + 12*c - 13\/12*c**4. Is n(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 - 151 = -21*d + 227 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 404*z**2 - 7308*z + 135. Determine t(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17.9 from -1.94.\nAnswer: 15.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - 3*n - 11*n + 15*n + (3*n**2 + 0*n**2 - 2*n**2)*(-4*n - 1 + 1) + 37*n**2 - 146*n**3 - 37*n**2.\nAnswer: -149*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - ((sqrt(11) - (0 + sqrt(396))) + sqrt(11) + sqrt(11))) + -2.\nAnswer: -2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 2. Let a(m) = 4*m**2 - 102*m - 124. Let o(z) = -a(z) + 6*j(z). Suppose o(x) = 0. Calculate x.\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q + 3. Let x(t) = 10*t - 512. Determine 6*f(k) + 2*x(k).\nAnswer: 2*k - 1006","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*b = -3*w - 17, -5*w - 5*b = 35. Let j be (2 + w)\/(1\/(-2)). Is (j + -4)*11\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-244)\/(-8) - 2\/(-4). Suppose -j = 3*h + 30, -5*h + 26 = -4*j - 9. Let r = f + j. Calculate the lowest common multiple of r and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -186*a**3*w**2 + 52*a**3*w + 2*a**3 - 3*a*w wrt w?\nAnswer: -372*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/165 and -83\/135.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 14 = 2*x. Suppose n - 4*u = 6*n + x, 0 = -n + u - 2. What is the units digit of ((-400)\/(-30))\/((-1)\/n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(405\/(-1218)) + (-46)\/(-690). Which is smaller: -854\/31 or h?\nAnswer: -854\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 17 = 5. Suppose -o + 0*d = -4*d - 25, v*o + 4*d = -10. Solve 2*u - s = s, 0 = o*u + 5*s + 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3 + 1 + -4 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.4 and 0.0657?\nAnswer: 1.3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 915?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 + 10870*x**2 - 5439*x**2 - 5431*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 169175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 3*i + 9, -2*n + 3*i + 13 - 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 205448886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000053303 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 10 = b. Let x be (8\/(-3))\/(b\/3). Let g be (192\/20)\/(x\/30). Calculate the greatest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h + 3. Let i(b) = 7*b - 14*b + 11*b - 2 + 2*b. Give 3*i(z) + 2*r(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 24. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.845, -2.5, 0.1, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.1, -2.5, -6.845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-8)\/(-12) + 0).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8.88 (b) -243 (c) 2\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 10. Let j = -16 - -14. Let u be 6*3*(-1)\/j. Calculate the highest common divisor of f and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**5 - 224*k**4 - 808*k**3 + 1264*k**2 + 812*k - 1040 = 0. Calculate k.\nAnswer: -52, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13109 + 13025. Is g equal to -1274\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b198 (base 12) in base 9?\nAnswer: -28378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/28782 and -89\/246.\nAnswer: 28782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*y**3*z - h*y**2*z - 107*h*y*z**3 + 2*y**3*z**2 - 46*y*z**3 + 2*z**3 wrt h?\nAnswer: 2*y**3*z - y**2*z - 107*y*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 50 = 3*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -19*n - 245. Let v be t(-13). Let m = 0.7 + -0.55. Which is the second smallest value? (a) m (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 - 4*n - 26. Suppose -4*y + 2*x = 18, 2*y + 2*x = -2*y - 38. Let j be t(y). Let o = j - 87. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppfqpppvfpfvppfvfp. What is prob of picking 1 v and 3 f?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 153 + 13 = 0. Let a = 56 - s. Let o be (12\/(-14))\/((-4)\/a). Solve b + 2*x - o = 3*x, 0 = 2*b + 4*x + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) -5090 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 9:24 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-153)\/(-4)))\/((-70384)\/7208)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - 1) - (17360 - 17354).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/x**(-1\/2)*x))\/(x\/(x**(-7)*x))*((x**8\/x)\/x)\/x*x**7*x)**(7\/5) assuming x is positive.\nAnswer: x**(49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.0887 - 37.0887. Let y = 0.3 + -1.3. What is the second smallest value in -1\/4, y, p, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31\/7? (a) 0.512 (b) -0.5 (c) -2\/9 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3556 and 219583.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16200 divided by -1188.\nAnswer: 150\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-38)\/(-8) - (-3)\/(-4). Which is the closest to 2\/5? (a) -0.05 (b) -0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -727087, -1454192, -2181291, -2908384, -3635471, -4362552?\nAnswer: -5089627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/((-25)\/30). Suppose 4*s + 7 = 5*v, v + v = 5*s + 13. Let j be (-4)\/(-2) + v - 1. What is the third biggest value in 3\/4, i, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -2095.\nAnswer: -2\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 4\/3, 4\/8417, 7.3, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0899996 + 0.09. What is y rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 11*m + 168. Let w be j(-15). Solve -26*v + 25*v = w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, y: 3, r: 1, h: 3}. What is prob of sequence rwy?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9462*f - 1573. Is u(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8322305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150 + -126 - 522\/24.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.0000003 + 6. Round f to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -149 and 0.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005874 rounded to four dps?\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - 2. Let n(r) = -r + 1. Let o be n(6). Let y = o - p. Calculate the greatest common divisor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z - 30. Let x(v) = -53*v**2 + 89*v - 89*v + 51*v**2. Determine x(g(s)).\nAnswer: -18*s**2 - 360*s - 1800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(35))\/sqrt(7)*-6.\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-72)\/(8 + -5)*(-162)\/12 and 8.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 9:22 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 - 7*a**2 + 333681 + 0*a**3 - 333679 + 115*a**2 to p*a**2 + v*a**3 + c*a + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 9*q + 12. Let x be h(-10). What is the derivative of -4*b**4 - 1 + 3*b**4 - x*b**4 wrt b?\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9146463 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 1. Suppose z = 5*z - t. Let x be z - (84\/9)\/4. Which is the second smallest value? (a) 0.4 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -107ca + b2?\nAnswer: -10718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19860?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.6778 to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/325*-1 - -1*5607\/(-225)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/7 (b) -1 (c) -1005\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4*z + 14 = 0, 0 = k - z - 2*z - 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a376 - a?\nAnswer: a367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 1. Let q(g) = 29*g**2 + 6*g - 6. Calculate 6*n(a) - q(a).\nAnswer: -29*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -266935, -266944, -266959, -266980, -267007, -267040, -267079?\nAnswer: -267124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5 - 2376*a**4 + 215271*a**3 - 423426*a**2 + 210528*a = 0. What is a?\nAnswer: 0, 1, 102, 688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + 15 + -35 - (13 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44688 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 19054450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*m**5 - 52*m**4 + 24*m**3 + 80*m**2 - 32*m = 0. What is m?\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*h**2\/5 - 360902712*h\/5 + 206230128\/5.\nAnswer: -3*(h + 17185844)*(7*h - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 920\/(-100)*(765\/(-6))\/(-51).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33420142 + 4?\nAnswer: -33420133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -1)*(-2)\/4. Let d(l) = -2*l**2 + 4*l - 7. Let g(r) = r - 1. Let o be -24*3\/(-3*2). Let m = o - 6. Calculate m*g(n) + w*d(n).\nAnswer: 2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41058458479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/409 + 14295\/1636. Let y = 13082 + -9321. Let g = 41339\/11 - y. What is the common denominator of c and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1461248*c = 1461673*c - 44625 for c.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w - 179. What is o(-29)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - p - 1. Let u be t(-1). What is the common denominator of 46\/22 + 22\/121 and u - -1 - 37\/(-6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h + 1. Let k = -9 - -7. Let b = 5 + k. What is the units digit of j(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -45 (c) 25\/7 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 + 0*h**3 + 2*h**3 + (2*h**2 - 21 + 2*h + 1 + 4)*(10*h - 13*h + 8*h).\nAnswer: 8*h**3 + 10*h**2 - 80*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*p + 77 + 35 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdbbbkbmbnqbqb. Give prob of picking 1 d, 1 b, and 1 n.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2) + (0 - (-4 - (0 + 0)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) - 578\/(-6). Let i = 0.123985 - 0.323985. Which is the smallest value? (a) f (b) 2\/3 (c) -0.3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -26 (c) -3 (d) -204 (e) 0.1 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -989*r**3\/5 + 29661*r**2\/5 + 300926*r\/5 + 2736\/5 = 0. Calculate r.\nAnswer: -8, -9\/989, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26760 or -26761?\nAnswer: -26761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 5*c**2 + 9*c - 8. Let w be u(6). Let j = 17 - w. Let d(k) = 3*k + 1. Let r be d(j). Solve 2*o + r = 4*n, -o + 9 = -4*n + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 877, -2\/17, 3\/5, 4\/3, 1, 8, -4 in decreasing order.\nAnswer: 877, 8, 4\/3, 1, 3\/5, -2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 4. Let u(k) = -5*k - 7. Let a(c) = 4*u(c) - 7*v(c). Let d be a(3). Suppose -r = -d*r + 8. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a + a**2)*(3*a**2 - 3*a**2 + a**2)*(-9*a + 17*a - 7*a + 19).\nAnswer: a**5 + 19*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**3 + 0*j**3 + 2*j**3)*((5 - 5 + j)*(0 - 4 + 2) + 6*j + 2*j - j) in the form k*j**3 + a*j + o*j**2 + l + n*j**4 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {f: 6, i: 6, n: 5, g: 1}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9698765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 227. Determine t(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -236.2 - -41.2. Let j = u + 191. What is the third biggest value in 2\/5, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -bc (base 13) in base 12?\nAnswer: -10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**2. Let h(o) be the first derivative of -23*o**2\/2 - 25. Determine w(h(p)).\nAnswer: -2116*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i. Let v(c) = 17*c - 5. Let j(z) = -15*z + 4. Let l(u) = 5*j(u) + 4*v(u). What is l(q(b))?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -566 - -5126. Suppose 4*w = 4*g + o, 0*g = -3*w - 2*g + 3435. Suppose 8*t + w = 17*t. List the prime factors of t.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (490\/(-105))\/14*(-2)\/(-9)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199 - b + 103 + 96.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(15\/(-2)) + 275\/165?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-728)\/(-5005))\/((-213)\/(-15) + -7 - 6)?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.35? (a) -2 (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 20 - 2 + 1 + 1 + 0 + (-4 + 1 - 1)*(-3 + 3 + 2))*(-2*x - 2*x + 6*x) in the form m*x + j and give m.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5442250 - 2*t**3 + 5442250.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1328655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -331*q**5\/5 + 2*q**3\/3 - 216*q - 1098. What is the first derivative of p(j) wrt j?\nAnswer: -1324*j**3 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(18) + -3 + sqrt(2) + sqrt(20)\/(sqrt(10)*2 + sqrt(10))) - (1 + -1*2*sqrt(4)\/sqrt(2)*2).\nAnswer: -4 + 25*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 8:25 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-18) - (-2842)\/261. Let h(r) = -2*r**2 + 22*r + 15. What is the remainder when (-2 - 0 - -1)*-44 is divided by h(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -78 - 562. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(33\/7)\/(o**0)**(-39))**22 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 2\/5 - (-5 - 13\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4974652 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7095709?\nAnswer: 1439, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*(-2)\/(1 - -3). Suppose -2*d = 8, -5*u = 5*d - d - 11 + 32. Let o(k) = 5*k**2 - k. Let n be o(1). Sort i, n, -5, u.\nAnswer: -5, u, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48432 + 40682681\/840. What is the common denominator of -89\/140 and t?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2746409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 + 4301 = 2*y. Suppose 5*i + 1995 = b, -b = -2*b + i + y. What is b rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + -4 + 3 + -5. Suppose -2*p + l*p = 2*p. Solve -2 = -2*u - p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81000 at least as big as 2.188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 409749571 divided by 77\nAnswer: 5321423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 69?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39589, 158386, 356389, 633598, 990013, 1425634?\n\"Answer: 39603*k**2 - 12*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 547 - 547.03. What is the closest to -1 in o, -3, 11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3620000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238525 and 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(468))\/(sqrt(400)*-1).\nAnswer: 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 10*o - 9. Let v be i(9). Let m = v + 28. Calculate the remainder when m is divided by (-4)\/14 + (-88)\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4 + 5*i + 0 + i. Let x be s(1). Find the third derivative of 320*n**4 - 320*n**4 - 4*n**6 - 2*n**x wrt n.\nAnswer: -480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 8:19 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27700396147722 - -0.7.\nAnswer: 27700396147722.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 184691431 a multiple of 3334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 9:03 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -23. Let n = y - -83\/5. Is -1\/8 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l - 7. Suppose 7*z - 28 = 7. Suppose z*i + 13 + 2 = 0. Let n be r(i). Which is the closest to -2? (a) n (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 428 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -47\/2 (b) 0.0686 (c) 0 (d) 2\/7 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -12, 0 = m - 4*y - 7 - 9. Suppose 27 = m*g - 21. What is the highest common divisor of 24 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -507, -1014, -1521, -2028, -2535, -3042?\n\"Answer: -507*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24056 - 0.96?\nAnswer: 24055.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 31917168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2036826, 2036931, 2037036, 2037141?\nAnswer: 2037246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 0.02, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 3 - 4*a - 9)*(51 - 51 + 33*a**2).\nAnswer: -132*a**3 + 132*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 133491 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.559715 nanometers to micrometers.\nAnswer: 0.007559715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10589 (base 10) to base 4.\nAnswer: 2211131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from ppmgsgmgs?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/10882300 and -73\/1400.\nAnswer: 152352200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3480, -8179, -14100, -21243, -29608, -39195, -50004?\n\"Answer: -611*w**2 - 2866*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(2\/17)*a**(4\/3)\/a*(a\/((a*a**1)\/a))\/(a\/a**(-5))*((a\/a**(-1\/4))**(-15\/4))**(20\/11) assuming a is positive.\nAnswer: a**(-29333\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 57, 115, 177, 243, 313, 387?\n\"Answer: 2*f**2 + 52*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**4 - 3*k**2. Let r(w) = -11*w**4 - 8*w**2 + 1. Let n(j) = -8*g(j) + 3*r(j). Differentiate n(b) wrt b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2149056?\nAnswer: 2, 3, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 23. Suppose -2*z = -z + k - 63, -317 = -5*z - d*k. What is the highest common divisor of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -41*u**8\/168 + 29*u**5\/20 - 63*u**2 + 1. What is the third derivative of v(i) wrt i?\nAnswer: -4920*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 4*i. Let a(r) = -r**2 - r. Let c(d) = 4*a(d) + o(d). Suppose 25 + 35 = 5*m. Let u(y) = 5*y + m*y - 4*y. Calculate c(u(x)).\nAnswer: -507*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -6. Let x = -16 - -26. What is the smallest common multiple of x and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2299231 is divided by 58951.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.97 rounded to zero decimal places?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36\/24)\/(-1 + (-4358)\/(-4352)). Calculate the highest common factor of 64 and p.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 9) to base 10.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*k - 146*k - 23 - 144*k + 23.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6542000 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c - c - 2 + 2*c - 4*c. Let n be -6*1\/(-2)*1. What is the units digit of a(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83246 is divided by 925.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.237 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3*q + 213, 32*j - 4*q = 26*j + 324. Calculate the least common multiple of 348 and j.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22208, 92200, 208838, 372110, 582004, 838508?\nAnswer: 1141610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316408 to the power of 1\/2, to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssemsmsmmmmsm. What is prob of picking 2 s and 1 m?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/32*12\/(-42)*-7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2057, -2301, -2595, -2939, -3333?\n\"Answer: -25*h**2 - 169*h - 1863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51 + 11*d + 51)*(d - 11*d - 3*d) as r*d + y + g*d**2 and give g.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -13*s**2 + 88*s + 515. Calculate h(-6).\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, k: 3, a: 1, t: 1, l: 3, i: 2}. What is prob of picking 1 a and 2 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(-3 + (6*3*sqrt(187))\/sqrt(11) + 2 + sqrt(612) + 0)**2.\nAnswer: -480*sqrt(17) + 97930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -330, -439, -550, -663, -778, -895?\nAnswer: -1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -117, -259, -401, -543, -685, -827?\n\"Answer: -142*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6693.26831 to the nearest integer.\nAnswer: -6693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 1. Suppose 76 = 2*u - 3*q, 5*u - 3*q = q + 190. Let y = u - 44. Put a, y, 5 in decreasing order.\nAnswer: 5, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1880.23 millennia to decades.\nAnswer: 188023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8)**48\/(v**(-3\/5))**(-35) assuming v is positive.\nAnswer: v**363","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = 0. Suppose 24 = -4*s - 3*l, f = s - 4*l - 13 - 0. Sort s, 4, 0.4.\nAnswer: s, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000537 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h = 5*i + 140, -3*i + 0 = 226*h - 229*h - i - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1752*x + 265*x + 3095*x + 9384*x to the form a*x + r and give a.\nAnswer: 14496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -5. Let y(v) = 11*v - 2. Let t(j) = 33*j - 7. Let r(m) = u*y(m) - 4*t(m). Does 11 divide r(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -24*y**2 - y + 2. Let p be t(1). Let k = p - -16. Let r = k + 17. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 68.5093521 from -1.4.\nAnswer: -69.9093521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j + 0*j - 3*j)*(0*j - j + 3*j) + 0*j + 0*j + 2*j**2 - j + j + 2*j**2 + 6*j**2 - 5*j + 3*j - 4*j**2 as y*j + k*j**2 + r and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**3*v)**(27\/2)\/((v\/(v*v**(2\/5)\/v))\/v)**18)**(21\/2))**(-2\/47) assuming v is positive.\nAnswer: v**(-6426\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = p - k - 22, 34 = p + k. Suppose 0 = m - 6*m + p. Differentiate -6 - m + 6*v**4 + 10 wrt v.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/8*(-5)\/(-9)*(54540\/450)\/(-101).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**5\/5 + 13*o**4\/5 - 33*o**3\/5 - 157*o**2\/5 + 778*o\/5 - 168 = 0.\nAnswer: -4, 2, 3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + f - 4. Let y be 143\/33 - (-1)\/(-3). Let g(a) = -y + 4*a - 5 - 2*a + 2*a**2. Give 2*g(p) - 5*x(p).\nAnswer: -p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7485 - -2891. Let x = t + 50590\/11. What is the common denominator of x and 17\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22391 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45697\/348 + 1577\/12. What is the closest to z in 0, 0.2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59 + 11*s + 59 to t + n*s and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2 - 25*z + 23*z + 2. Let h(w) be the second derivative of 0 - 1\/4*w**4 + 0*w**2 + 0*w**3 + w. Calculate h(l(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 133 + 18c?\nAnswer: 2bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18299\/9 - -2040. Suppose a + 3*a = -p - 458, 5*p + 3*a + 2341 = 0. Let d = -1923\/4 - p. Calculate the common denominator of h and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*t**4 - 123870995*t**3 - 729855357*t?\nAnswer: 48*t**2 - 743225970*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 9:06 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60406 minus -697264?\nAnswer: 757670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48 - (-7 + 2 + 3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x - 96. Let o be (-1)\/6*x\/28. Let r = -13\/42 - o. Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 - 68*t\/9.\nAnswer: 2*t*(t - 34)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t**3 - 5*t**2 + t + 1. Let x(y) = 23*y**3 - 16*y**2 + 4*y + 3. Determine -7*r(v) + 2*x(v).\nAnswer: -3*v**3 + 3*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/30 + 4\/12. Let s = -44 + 263. Suppose u = -5*j + 3*r + s, 2*j + 2*j + 2*r - 162 = 0. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 459964*a**3*u*x**2 + 4*a**3*x**2 + 61*a**3 - a**2*u*x**2 + 2*a**2 - 171*x wrt u.\nAnswer: 459964*a**3*x**2 - a**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*p**4*z**3 - 3136*p**3*z**2 - 7*p*z**3 - 505*z**2 wrt p.\nAnswer: -60*p**2*z**3 - 18816*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 0*d**2 - 4*d**2)*(-16 + 615*d - 10 + 26 - 5663*d).\nAnswer: 15144*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63382117 and 39134?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1256983404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -79240, -158476, -237712, -316948, -396184, -475420?\n\"Answer: -79236*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 31*q**4\/24 + 78*q**2 - 107. Let d(b) be the second derivative of z(b). Let y(p) = -8*p**2. Give d(y(j)).\nAnswer: -248*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 0 - 1\/24*l**4 - 81\/4*l**2 - 3\/2*l**3 - 36*l. Factor z(i).\nAnswer: -(i + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnnncc. Give prob of sequence cnc.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-89 - -92)*(-1)\/(-1)*1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3135884*y**3 - 14*y**2 + 200556058?\nAnswer: 9407652*y**2 - 28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/8 + 205*j\/4 + 1221\/8.\nAnswer: (j + 3)*(j + 407)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + 3*b**2 - 4*b - 1. Let j be c(9). Suppose 5*m = -359 + j. Does 61 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-2)\/1)*6\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiaahiiiiiahhiiiiih. Give prob of sequence hh.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(-20)\/12*-2. Let n = d - -25. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 2*a + 7 - 23, 0 = u + a + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 136589870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 618, -6, 32, 0, -4 in descending order.\nAnswer: 618, 32, 0, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + g + 7*g + 10 - 8*g. Let x be u(-9). Let m(l) = l**2 - l + 74 - 74 - 6*l**3. Determine m(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1826*m = -1713*m - 20227. What is the remainder when m is divided by 86?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4659777?\nAnswer: 3, 23, 22511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -5 - -5) + -9 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + 3 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.167 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = j + 54 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -2) + (330 - 331)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 28.3, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 33\/198410?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -29 - (-9 - -1) - -10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 47 + 19. Suppose -16 = -5*v - 1, 0 = -5*y - v + 13. Let d = 5 - y. What is the highest common divisor of z and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 0*v**5 + 8\/3*v**3 + 0*v**2 + 0 + 0*v**4 - 7\/30*v**6 + 13*v. What is the second derivative of s(h) wrt h?\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/10)\/(((26\/4)\/(-13))\/(45\/4))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 285091?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126460 divided by 5.\nAnswer: 25292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 3892999 and 3892999 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, j: 3, w: 2, s: 1}. What is prob of sequence sdj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s. Suppose -19 = -3*n + d, 2 = 5*n - 5*d - 43. Let o(r) = -4*r + 2*r - r. Calculate n*o(k) - 4*h(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*p - 80*p + 4 = 12 + 46 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43462076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/14*6\/(-12). What is the biggest value in f, 2\/43, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 63383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyii when four letters picked without replacement from yyytiityyt.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from nhgwhjpn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4844 + 6414. Is 59 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 126, 706, 1686, 3066, 4846, 7026, 9606?\n\"Answer: 200*i**2 - 20*i - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -630218 + -6583469?\nAnswer: -7213687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 23*c. Let y(h) = -707*h**2 - 19*h + 7. Let n(m) = 204*m**2 + 6*m - 2. Let k(x) = -7*n(x) - 2*y(x). Calculate w(k(j)).\nAnswer: -322*j**2 - 92*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 - 3 - (4 + 10). Let n(a) = a**3 + 11*a**2 + 11*a + 12. Let x be n(j). Solve -2*z + l - 9 = 0, z - 13 = -l - x*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 9 - 0. Find the common denominator of (330\/(-16))\/h + -3 and -22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s - 492 - 372 = 0. Suppose -2*a + 60 = -25*f + s*f, 2*f + 27 = a. What is the remainder when 195\/4 - (-3)\/12 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*q - 177, 5*c + 3*q - 172 = -0*q. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 15*v - 2708. Calculate c(-45).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 206866541 to the power of 1\/3, to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0381 to 3 dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 98085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 407088*v**2 - 1628288*v.\nAnswer: -4*v*(v + 4)*(v + 101768)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(-6*(sqrt(468) + 1)**2 + 4 + sqrt(468) + (sqrt(468) - (sqrt(468)*-2 - sqrt(468))))*6.\nAnswer: -101161 - 1512*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138 (base 11) in base 12?\nAnswer: a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58 and -0.0962?\nAnswer: -5.5796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 - 266*p**3 - 5*p + 266*p**3 + 3*p**4 + 0*p**4 - p**4 + (3*p - 2*p + 0*p)*(0*p**2 + 0*p**2 + 2*p**3).\nAnswer: 7*p**4 - 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 8297922?\nAnswer: 8297922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 5*i - 2*i)*(-i + 6*i - 4*i) + 8*i**2 + 3*i**2 - 22*i**2 - 1 + 1 + 3*i**2 + i**2 + i**2 + 16*i - 15*i.\nAnswer: -8*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*j + 98*j = 1776 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 4*m**2 + 7*m + 8. Let x be g(-2). Solve -5*a = -5*y, 3*y + a - 2 = x*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269186 + 648299 = 21*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -5.08. Let n = r + 0.02. Let b = 0.9 - 1. What is the second biggest value in 0.5, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66051, -7, 22 in decreasing order.\nAnswer: 66051, 22, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*p**4*q + 261*p**2*q + 227*p*q + 3 wrt p?\nAnswer: 48*p**2*q + 522*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 11*p + 35. Let b be c(8). Let h = b + -59. Calculate the highest common factor of h and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 10:12 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4391129.\nAnswer: 631, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 2)\/(2\/(-2)). Suppose x = -l - 4 + 28. Let f = -4 + l. Solve -2*n = 3*n + 5*t - f, -n + t + 4 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70258 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 4300254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3571*b + 4280*b + 691*b - 1820*b + 475*b to the form s + p*b and give p.\nAnswer: 7197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)*i)**(8\/15)*i**(-1\/4)*(i*((i**(3\/2)*i)\/i)\/i*i)\/i*((i\/i**(-2\/5))\/i**(-6))\/((i\/(i*(i\/i**(3\/7))\/i*i*i))\/(i\/i**(-2\/5))) assuming i is positive.\nAnswer: i**(4993\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from aqbbfhwfffhb.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, 12, 30, 50, 72, 96?\n\"Answer: p**2 + 13*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-3)\/(-1 - 0). Suppose n = -2*v + 3 + 7. Find the third derivative of -3*g**4 + v*g**2 + g**4 + 0*g**2 - g**2 wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 = c, 3*c + s = -0*c + 32. Suppose j = -2*h, -j + 2*h = -4*j + c. Suppose -f = 2*f + j. Let g(t) = t**3 + t**2 + t + 1. Determine g(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 59, 97, 131?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (45\/(-63))\/(2\/(-14)). Suppose 3*u = -0*u + 4*b - 265, -3*b - 300 = 3*u. Let h = -95 - u. Solve y - 2*y + d = h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 6*g - 69. Suppose -4 = -67*w + g*w. Sort -0.06, -1, w in descending order.\nAnswer: -0.06, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + (6 - ((-581)\/(-210))\/((-8)\/(-5))) and -59\/66.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2884 take away -0.3?\nAnswer: 2884.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/17, -4\/3, -2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-24*(-42)\/3933). Let k = d + -190\/7. Calculate the common denominator of 85\/2 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -47\/55, -0.6 in descending order.\nAnswer: -0.6, -47\/55, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731634120?\nAnswer: 2, 3, 5, 7, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*n - 9, -3*n + 5*o = -0*n - 14. Suppose -h + 4*p + 2 = 0, 2*p - n*p = 5*h - 94. Calculate the remainder when h is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/1534 and -59\/716.\nAnswer: 549172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*l + 58 = -0*r, -2*r - 5*l = -142. Let k(n) = n**3 + 5*n**2 + 4*n. Let z be k(-4). Suppose 3*u - r = -z*u. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7674 + 4936. Let j = a + -762. Round j to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**6\/480 - 7*y**5\/480 - y**4\/48 + 41*y**3\/3 + y + 33. Let l(k) be the third derivative of f(k). Factor l(b).\nAnswer: -(b + 2)*(3*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73)\/104*2 + 65\/52?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 186*d**3*f*x - 26797*d**3*x**2 - 3*d**2*x**2 - 103347*f*x**2 - 1763*x**2 wrt f?\nAnswer: 186*d**3*x - 103347*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7586.897 less than 37454?\nAnswer: 45040.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 11*a + 9. Let h be b(-10). Let f = 1 - h. Suppose -7*q = -f*q - 160. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**2\/2 - 4*w - 1. Suppose 0 = -2*c - 2*h + 18, 5*h + 0*h - 33 = -3*c. Let n be u(c). Sort -2, -5, n in descending order.\nAnswer: n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*u + 2 - 21 - u in the form s*u + i and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w - 21 + 27*w + 12*w - w. Let m be g(6). Calculate the greatest common divisor of 21 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1 = -k. Let v be 1 - -1 - 0\/k. What is the units digit of 11\/2 - v\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749 is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 4672\/1015?\nAnswer: 4672\/1015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 192\/(1056\/(-33))*1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165\/198*2*1*5\/5.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 241 = -4*m, -4*m + 16 = -4*d + 212. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -1 - 5\/2*v**2 + 2*v. Suppose 5*z = 25, -30 = s - 6*s - 4*z. What is c(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**2 + 82920*a - 414725 = 0. Calculate a.\nAnswer: -16589, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0 - 4. Let g = 2 - l. What is the highest common divisor of g and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 2*l**4 + 2*l**3 - 5*l**3 + 0*l**4 + l**3 as f*l**3 + q*l**4 + c*l + h*l**2 + v and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.06 - 0.06. Let m = -4.3 - -4. What is the third smallest value in 0, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11068, -5, 654 in decreasing order.\nAnswer: 654, -5, -11068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267585393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.01, 1\/5 in descending order.\nAnswer: 2, 1\/5, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 389199931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 12:59 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.4, 5\/4, 0.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5 + 43. Let b = 11 + z. What is the remainder when 21 is divided by 70\/5 + 2 + b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -208499.\nAnswer: 18\/208499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-4 - -1 - (1 - 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.1 (b) -0.4 (c) -11 (d) 1 (e) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1255883 or 1256008?\nAnswer: 1256008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -328.179 - -328. Let j = 0.1787056 + b. Round j to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440 = 164*v - 186*v. Solve -3*d - v = -32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1.1 (c) -17 (d) -1\/9 (e) 1\/4 (f) 5 (g) -12.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w + 3*f - 27 + 37, 0*w + w - 336*f = -0*w - 335*f - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -1a?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + y + 4 + 1 - 16*y**2)*(18*y**2 + 78*y - 78*y) to d + o*y**2 + s*y**3 + u*y**4 + x*y and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 1:26 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -718 + 720. Let p(l) be the first derivative of 1\/2*l**n + 0*l + 6. Let u(s) = 4*s**2. What is u(p(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53524 (base 8) to base 7.\nAnswer: 122115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 1. Let q(b) = -2*b**2 + 5. Suppose -10*c = 9*c - 133. Let w(s) = -s**3 + 7*s**2 + 2*s - 10. Let t be w(c). Calculate t*o(n) + q(n).\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -102, -182, -260, -336?\n\"Answer: y**2 - 83*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-21) - (0 - (-6)\/(-9))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Let l(u) = 2*u**2 - 4*u - 26. Let p be l(5). Sort y, 5, p, -4.\nAnswer: -4, y, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 2*u - 1331, -12*y + 5*u - 257 = -13*y. What are the prime factors of y?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 0.1 (c) 127 (d) 86.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -78. Solve 10 - m = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 5*n**2 + 3*n + 2. Give v(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7184, -7181, -7178?\nAnswer: -7175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -230 + -134001?\nAnswer: -134231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iioxzijgiiiogigxoo. What is prob of picking 1 i, 1 g, and 1 z?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -22*n + n**3 + 1\/6*n**4 + 2*n**2 + 0. What is the units digit of c(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.27978984 rounded to 2 decimal places?\nAnswer: -48.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -20. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(6 + -4 - 1). Solve -2*a = r + 7, -a - 12 = 2*a + l*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-27)*-3 + (-5)\/1. Let s(p) = -p**3 - 4*p**2 - 4*p - 3. What is s(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*54 - (-28)\/(-6)*(-171)\/(-114)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1985 = 8*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*h + 1513 = 0, 0 = -4*w - h + 5*h + 1212. Calculate the remainder when w is divided by 143.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 60*t**2 - 13. Suppose 0 = a - 6*a + 2*l + 41, 2*a - l - 17 = 0. Let o be i(a). Suppose -2*g - 3*g = 4*b - o, 0 = -3*g - 5*b + 1751. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 7) to base 16\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**3 - 2*q**2 + 1. Suppose t = 4*m, m - 3*m = -5*t - 18. Let f be i(m). Suppose -f*g + 14 = -4. Solve 0*j + g = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + 1 + 1 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.5*-0.15.\nAnswer: -1.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) + 433\/2. Suppose 14*s - 31*s - 1105 = 0. Let f = s + d. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4128 + 6694. Solve 13*a = -2527 + r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2934 - 8?\nAnswer: 292b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*h - 1372682 - 371979. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 2*b**2 + b - 4. Let d be j(-3). Suppose r - 33 = -d*r. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1354 (base 8) to base 11\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 108\/(-21) - 48050\/(-14). Suppose -6*p + k - 174 = 0. Round p to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w - 1 = -22*w - b, 4*w = -5*b + 33. Sort -2, 5, w, -5.\nAnswer: -5, -2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -11*n**2 + 7*n - 7. Let d(i) = 7*i**2 - 5*i + 5. Let r(j) = 8*d(j) + 5*h(j). Let x(o) = -o**2 + 7*o. Let z be x(6). What is the units digit of r(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.17 + 0.17. Let m = f + 11.5. Which is the closest to -2? (a) 0.1 (b) -1\/6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 574*d + 3965. Let v be w(-7). Sort 1, -91, v, 6 in increasing order.\nAnswer: -91, v, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 45*t. Let k(y) = 11*y - 6. Let x(v) = -31*v + 17. Suppose 0 = -q - 2*i + 15, 2 = -2*i - 0*i. Let w(s) = q*k(s) + 6*x(s). Give d(w(o)).\nAnswer: 45*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -521 - -522. Calculate the greatest common factor of 81 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 0.2001\nAnswer: -4.2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 47*s + 76. Which is greater: -41\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 144637812 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 7. Let m be 4*10\/(-24)*3. Let y(g) = -4. Let w(n) = m*y(n) + 3*x(n). Let b be w(1). Solve -3*q + 4*z + 1 = 0, -b*q + 2*z - 7*z = 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (1 + 2 + 0). Let j be (d + 2)\/(12\/14). Let p = -2 + j. Put p, 5\/6, -0.5 in decreasing order.\nAnswer: 5\/6, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 37*m**2 - 1428*m + 787. Give c(38).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 443 - 430. Suppose 5*p + 14 = -1. Let r = 0 + 5. Sort p, b, r in decreasing order.\nAnswer: b, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -3*p**5\/10 - 12*p**2. Let w(a) = -a. Give g(w(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2*s = -2*s - 7, 0 = -a - 4*s - 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 261417 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/18 and (-220)\/(-2310)*(-62)\/(-40).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -35, 1, -6, -390, -4, -94.\nAnswer: -390, -94, -35, -6, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n - 5. Suppose -4*y + 1 = 5*f - 40, 4*f = -3*y + 32. What is the units digit of q(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 272 and 112.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**3 + 3*i**5 + 4*i**3 + (3*i**3 - i**3 + 0*i**3)*(0*i + 2*i**2 + 0*i) + (4*i - 4*i - 2*i**2)*(-2*i**3 - 8*i**3 - 5*i**3) - i**5 + 8*i**5 + 0*i**5.\nAnswer: 44*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/19))**25 assuming f is positive.\nAnswer: f**(50\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0065 or -1\/101?\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjjujkkjkjukujujk. What is prob of sequence kkj?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-82)\/(-5) - 4\/10. Suppose -m + 5*d + w = -39, -m = 3*d - 95. Suppose -5*g + m = -g. What is the lowest common multiple of g and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2290*x + 4277 - 2*x**3 - 4277)*(x - 2*x + 3*x) to u + v*x**4 + f*x**3 + l*x**2 + o*x and give l.\nAnswer: -4580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-21)\/4)\/((-3)\/12). Let g = 11 + i. Let x = g + -21. Solve -21 = -0*o - o + 5*v, x = -o - 3*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 0.5, 5\/4, 6\/13, -5, -22 in descending order.\nAnswer: 5\/4, 0.5, 6\/13, 0.05, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1478 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1450 (base 9) in base 6?\nAnswer: -5030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 22*f - 63. Give h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from faofaaoaaffaoafa. What is prob of picking 3 f and 1 a?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*3)**2 + -1 - sqrt(567).\nAnswer: -9*sqrt(7) + 5102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 4:18 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w*z**3 + 1211*w*z**2 + 2*w*z + 114211*w + 2*z**4 + z**2 wrt z.\nAnswer: -12*w*z + 2422*w + 24*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*o**2 - 1 + 31*o**2 - 18*o**2)*(-3 + 2 - 1 + (-4 + 5 - 2)*(4 - 6 + 1)) - 5*o**2 - 3*o**2 + 2*o**2 as q*o + n*o**2 + f and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-6)\/3*2702\/386?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -81. Suppose -y + 8*y = p*y. What are the prime factors of -27*(y + 4\/(-3))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4150878*b**3 - 2417630 wrt b.\nAnswer: 12452634*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8672, 17344, 26016, 34688?\n\"Answer: 8672*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 143797, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23410 (base 7) in base 10?\nAnswer: 6034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 490 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/5280 and -163\/60390.\nAnswer: 966240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/7 and 25\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - -237461?\nAnswer: 237475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 236338848340 + -196\nAnswer: 236338848144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/1*126\/(-2)*47\/(-423)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 324*f - 956. Calculate the lowest common multiple of 514 and c(3).\nAnswer: 4112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 575 = 28*m - 32*m + 15*m for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibybyyyyiyybybyy. Give prob of sequence bybb.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 3:22 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hahhhhhhoaahaaahaah. Give prob of picking 1 o and 3 h.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 26 - (-62 - -7)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1079 + -1?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154400 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:51 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19001?\nAnswer: 19001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 1045?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-74)\/(-9) + (-4)\/18. Let z = -604 + 681. Let j be 22\/z - 48\/(-28). What is the highest common divisor of j and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 4*j**2 - 5*j. Let r be u(-2). Solve 0 = r*y - 3*y, 10 = 2*f + 3*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109589*y**2 + 5 - 12 + 7.\nAnswer: -109589*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 12:43 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, r: 5}. What is prob of sequence rnrn?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13214*g**3 + 2*g + 3*g + 13263*g**3 + 4*g - 4*g + 3*g**3 + (-g**2 + 0 + 0)*(-2*g + 5*g + 6*g).\nAnswer: 43*g**3 + 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -102, -166, -234, -306, -382?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -42177\/16 not equal to -2635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*n = 4, 3*u + 5*n - 35 = -13. Let j = -10 + u. Let z(t) = 3*t - 4. Let d(i) = -7*i + 9. Let v(s) = 4*d(s) + 9*z(s). Give v(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10202 is divided by 3379.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - 0. What is the third smallest value in n, -0.4, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiitiiiiiiiiii.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5 = -4*z + 29, 0 = 3*z - 4*r - 18. Let d(x) = x**2 + x - 2. What is the lowest common multiple of d(-4) and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, t: 2, f: 1, s: 3, o: 2, c: 4}. Give prob of picking 2 c and 2 t.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stif when four letters picked without replacement from inhhhiishstifhih.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(264\/39))\/(12\/24). Which is the third biggest value? (a) p (b) -3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 116603 - 1?\nAnswer: 116602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91920699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316691646.\nAnswer: 2, 3, 23, 43, 83, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 12*m + 29600000. Round m to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 7) + -7 + 7 - -14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - p + 3. Let k be (-4)\/(-16) - 18\/8. Let a(f) = f**2 - 2*f + 3. Let q(t) = k*i(t) + 3*a(t). Let v = -8 + 13. Give q(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0 + 92*c**2 + 0*c - 131\/3*c**3 + 0*c**4 + 43\/10*c**5. Differentiate r(f) with respect to f.\nAnswer: 516*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 10, c: 6}. Give prob of picking 1 i and 1 q.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**3 + 4*r - 4. Let s(y) = 2*y + 71. Let n be s(-33). Let x(p) = 5*p**3 + 5*p - 5. Give n*u(j) - 4*x(j).\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkeirrfreripfeirerri. What is prob of picking 2 i and 2 r?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)*y)\/y*y**(-2))\/((y*y**(1\/6))\/(y*y\/((y**(1\/6)*y)\/y)*y)) assuming y is positive.\nAnswer: y**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 r, and 1 t when four letters picked without replacement from virtz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/13)*y)\/(y\/((y*y**1)\/y)) assuming y is positive.\nAnswer: y**(15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19\/8 or -3?\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11 - 5) + -15 - -3) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 303967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3969*(-5 - 1)\/(-6). Suppose v = 4*l + 5*l. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - (-6 - (-4 + 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**3 + 6074619*c**2 + 3075110335200*c + 27675500974848 = 0.\nAnswer: -1012432, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-32 - 35 - -41)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -23. What is the remainder when 70 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**3*v**5 + 2*q**3*v - 433*q*v**5 + 6*q*v wrt v?\nAnswer: -60*q**3*v**3 - 8660*q*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 2\/23, -5, 2\/5, 3\/7?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23021223332 - 0?\nAnswer: -23021223332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00041141971 rounded to six dps?\nAnswer: -0.000411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7683, 0.3, -1\/2, -0.05, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 3:16 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 680 - 650. Calculate the smallest common multiple of x and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16065 and 1485?\nAnswer: 176715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/8*((-200)\/(-75))\/2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 1. Let g(q) = -6*q + 5. Let r(b) = -g(b) + 5*u(b). Let t(c) = -c**2 + 80. What is t(r(i))?\nAnswer: -i**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 303 and 4949?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151 + 150.9947. Round v to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**3 - 82644801*t**2 + 569180302349865*t - 569180219705067 = 0. What is t?\nAnswer: 1, 13774133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmfufeeufeeeefg. What is prob of sequence efe?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {v: 4, x: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1988 and 639?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - x. Let a(i) = -i**2 + 5*i - 10. Let b(m) = -a(m) + 2*s(m). Let f be b(-8). Solve -10 - 25 = -3*v + 5*h, 0 = 2*v - f*h - 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2))**34\/(s\/s**1)**(-44))**20 assuming s is positive.\nAnswer: s**(-1360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*y**3 + 138*y**3 - 2 - 1467*y**2 + 1.\nAnswer: y**3 - 1467*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/2 + -1)*5\/(-2). Let r(p) = -3*p**2 - 5. Let w(b) = 2*b**2 + 3. Give x*w(o) - 3*r(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**5\/4 + 3*s**4 - 269*s**3\/4 + 330*s**2 - 500*s = 0.\nAnswer: -25, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 121 = -3*n, -2*n + 496 - 408 = -7*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1986.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 396 - 290. What is the remainder when l is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 136 and 0.00401254?\nAnswer: 0.54570544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let y(g) be the first derivative of 6 + 1\/2*g**2 + 0*g. Let a(k) = -s(k) - 2*y(k). Let v(p) = -p. What is v(a(i))?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012 - 110001111?\nAnswer: -110010200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 0 (c) -1.895 (d) -4\/3 (e) -2\/99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, g: 2, k: 1, p: 1, l: 3}. Give prob of sequence xkg.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -db5?\nAnswer: db2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 4*b - 3*b)*(4 - 1 - 4) - 4*b + 2*b + b + (b - 3*b + 0*b)*(0 - 1 - 2).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 9 + 6 + 3 - 3123*i**2 + 3123*i**2.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34442842, -68885673, -103328504?\nAnswer: -137771335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 2 - -4) + -40 - 22?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-134830)\/(-310109))\/(2\/(-437))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n + 61. Calculate m(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1789178\/1475 - -1213. Are n and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33808*a + 5864*a + 14313*a + 9 - 42656*a.\nAnswer: -56287*a + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 - 154. Let r be ((-30)\/w)\/(1\/1). Let y(b) = b**2 - 2*b - 1. Let a be y(-1). Sort r, -4, 3, a in ascending order.\nAnswer: -4, a, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20628214 and 582?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/17))\/(c**(3\/11)*c))\/(c**2*c*c**(-30)*c) assuming c is positive.\nAnswer: c**(4800\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v + 21. Let i = -48 + 27. Let j(n) = 4*n + 130. Let g be j(-33). Let a(u) = -u - 2. Give g*x(w) + i*a(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 + 7 + -6 + 8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g = -6. Let c(x) = x**2 + 3*x - 6. Give c(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -12. Let y(i) be the third derivative of 4\/3*i**m + 0*i + 49\/10*i**5 - 343\/120*i**6 + 0 - 2*i**2 - 7\/2*i**4. Solve y(x) = 0.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*(-3)\/(-168)*2. Which is the third smallest value? (a) -5 (b) v (c) -2\/13 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**4\/24 + p**2. Let c(y) = -y. Let j = 87 - 80. Determine j*c(t) - 4*q(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*s, 0 = -d - 4*s - 1. Suppose 3*n = t - 0*t + 8, -2*t + 5*n = 12. What is the units digit of t*(-4)\/(-16)*d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/5)*g\/(g\/(g\/g**(-4)))*g)\/(g*g**(-2\/5)*g)**(2\/35)*g**(1\/9)*g**(3\/4)*g**(2\/3)\/g*g*g**(-4) assuming g is positive.\nAnswer: g**(26689\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 103490 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -4041?\nAnswer: -2\/4041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6488262?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c - 2*c**2 + 4*c**2 + 2*c - 6*c**2 to the form k*c + u*c**2 + o and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3*s)\/s)**(-9\/7)\/(s*s*s**(1\/6)\/s*s)**(-12) assuming s is positive.\nAnswer: s**(155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let q(s) = 15*s. Let y(a) = -20*l(a) - q(a). Let n(x) be the second derivative of x**3\/3 + 3*x. Calculate -9*n(k) + 4*y(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*f - 73*f = 96492. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1727 divided by -161\nAnswer: -1727\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3936 = 2*b + 30*b. Let v = b - -807. Is 57 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 378*x + 54. Let k(c) = -7 + 9*c + 20*c + 1 + 10. Let p(q) = 54*k(q) - 4*o(q). Let u(i) = 3*i. Give p(u(v)).\nAnswer: 162*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 - 80 = -29*p - 5*y, -4*p = -y - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-42)*(16 - 16). Which is greater: 2\/1603 or k?\nAnswer: 2\/1603","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20221688?\nAnswer: 2, 293, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u**3 - 3*u**2 - 6*u + 2. Let r(n) = 17*n**3 + 7*n**2 + 13*n - 4. What is 13*g(f) + 6*r(f)?\nAnswer: -2*f**3 + 3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 683, 1545, 2755, 4313?\nAnswer: 6219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3 - 81*h**2 - 1887*h - 9583 = 0.\nAnswer: -37, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3653 is divided by 259?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 86*-32455\nAnswer: -2791130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1027*(-104)\/(-1859) - 100\/220\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6858, 13728, 20602, 27480, 34362?\n\"Answer: 2*t**2 + 6864*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - 2. Let w = 5.712 + -4.712. Are n and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335098 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2252 + 3926. Which is smaller: l or 1677?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7.6649598 milliseconds?\nAnswer: 0.0000021291555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1479173010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 15. Which is the third smallest value? (a) -1 (b) k (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2912 by 208.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 351\/551 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*j**2*o**5 + 1511*j**2*o + 49167*o**5 - 21*o wrt o?\nAnswer: 180*j**2*o**3 + 983340*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**4\/6 - x**3\/2 - 9*x**2\/2 + 159*x. Determine o(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 32*v**2 - 27*v**2 + v**4 + 5 + 2*v**3 in the form a*v**4 + o*v**2 + x*v + y*v**3 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 101\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssbbf. What is prob of sequence bsf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20277 - 20274. Factor 13\/3*q - 2 + 43\/3*q**h + 53\/3*q**2 + 3*q**4.\nAnswer: (q + 1)**2*(q + 3)*(9*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92178?\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 + 0*u**3 + 6*u**3.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 520979, 1041956, 1562933, 2083910, 2604887?\n\"Answer: 520977*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) -2 (c) -2\/7 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -522 - -525. Suppose -2*c - 5*g + 16 = 0, -13*c - t*g + 16 = -15*c. Let p = -20 + 39. Is p bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 98\/(-16) - 3. Let a be (-2 + -2)*(-11)\/(-22) - 1. What is the nearest to a in 2, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 w when three letters picked without replacement from {p: 1, w: 3, r: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4903006292.\nAnswer: 2, 3373, 363401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - -41) + -9 + -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -427, -851, -1275?\n\"Answer: -424*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-9)\/(-7)) + (-360)\/(-84).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -45625 + -14?\nAnswer: -45641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c - a + 39 = 0, -4*a = 5*c + 78. Let p = c - -37\/2. Factor -3\/2*v**2 - p*v**3 - 1\/2 - 3\/2*v.\nAnswer: -(v + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -59.23.\nAnswer: -55.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 724, 1488, 2252, 3016, 3780, 4544?\nAnswer: 5308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42430 (base 7) to base 4.\nAnswer: -2210023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2184019?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*z + 646*z = 1283*z + 56484 for z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118764 and 11004?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15063*p + 7532*p + 7532*p = -7*c + 6, 5*c - 2*p = -69 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8593)\/(-240604))\/(-12*(-1)\/(-7))?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 30 = -2*t, -36 = 4*h - 0*h + 4*t. Let g be ((-2)\/h)\/((-2)\/(-24)). Suppose 3*l - g = -0*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 7, 0, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12399.000005128 + -12399. What is h rounded to 7 decimal places?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-55)*(6\/(-5))\/(-3)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 4*w - 4. Let r be i(3). Let g = 1 + r. Suppose g*t - 5*t = -300. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 - 30 - 21)*(-3*u + 3*u + u)*(1 - 4 + 0).\nAnswer: 375*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33232310 + 10?\nAnswer: 33232320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 s, and 1 q when four letters picked without replacement from {a: 3, q: 2, t: 1, s: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 1\/2*t**2 - 3 + 0*t**3 - 1\/12*t**4 + 3*t. Let m(n) be the first derivative of j(n). Determine b, given that m(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 2035\/80*2. Let j = -54 + q. What is the closest to -1\/4 in 1\/17, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 2:43 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -16, -1, -0.1, -6\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9657 - -14623. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.383 - -40?\nAnswer: 41.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = 6. Let r = 3 - t. Suppose 2*i = -2*i + 4. Put r, -5, i in decreasing order.\nAnswer: i, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3 and 1.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + -92 + 57 - -52?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -308?\nAnswer: 61.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 4*l + 21 + 1, -l + 1 = 0 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 20*o - 214. Suppose 0 = 7*a - 1608 + 1552. Let r be t(a). Solve -2 = 8*d - r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*c**2*v**3 - 14*c**2 - c - 4480*v**3 wrt c.\nAnswer: -62*c*v**3 - 28*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 19 = -3*m - 3*p, -3*p + 9 = 0. Suppose 3*i = -1 - m. Let u = i - -6. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/2268 and 113\/288.\nAnswer: 18144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 247\/38*(-20)\/(-130)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -1003010?\nAnswer: -1003003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 332 divided by 83\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3362546613 to the nearest integer?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -31. Suppose -2*h - b = 2. Is 378\/(-4)*h\/6 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.49854 years in months?\nAnswer: 1013.98248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*n - 71 = 0, -3*i + 14 - 89 = -3*n. Let w be 4 - i - (-3)\/(-1). Let b = w + -10. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.22 (b) -3\/19 (c) 3\/8 (d) -7 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 9. Let b = 12957 + -12956. What is the third smallest value in 0.2, -4, b, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*o - 59*o + 324*o + 87*o + 189*o to the form w*o + s and give w.\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-4 + -1) - (-3 - 30)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -f - 5*k, -k = f - 0*k + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/25839 and -46\/903879.\nAnswer: 288337401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -111 + 178 + -50?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 28. Let c(k) = 308*k + 392. Let o(r) = c(r) + 14*z(r). Let t(u) = 4*u**2. Calculate o(t(h)).\nAnswer: 1176*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74d0ca (base 14) to base 3.\nAnswer: 21102220020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94906\/235 - 529\/47. Let i = 393 - u. Which is the closest to 2\/7? (a) i (b) -4 (c) 118 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 7*o - 2. Let i be l(7). Let r(v) = 0 + 0 - 4*v - v**2. Let w be r(i). Solve -2*y + w*y + 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/15*18\/108*1*-3.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-30) - (-252)\/10. Suppose 0 = -r - 4*r + l. What is the nearest to 2\/7 in r, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 times 65570?\nAnswer: 4458760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -924*y**2 - y + y + 899*y**2 + y**3.\nAnswer: y**3 - 25*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - v = 3*c, -5*c = -2*v + 26 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 1661, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -3\/13 (c) -0.2 (d) 0.3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 64*g**2 + 259*g - 248. Calculate b(-68).\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 72*h**2 + 56*h + 48. Let g(s) = 46*s**2 + 40*s + 32. Give 7*g(r) - 5*p(r).\nAnswer: -38*r**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - 176. Let a(t) be the third derivative of -t**5\/15 + 129*t**2 - 2*t. Determine a(i(f)).\nAnswer: -16*f**4 - 2816*f**2 - 123904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 676\/71?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 12*p + 2. Let d be (12\/12)\/((-9)\/(-27)). Give y(d).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -16\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4))**(-5\/14)*(n**(-1\/3)*n\/n**(4\/7))\/(n**(-1\/4)\/((n**(-1\/3)*n)\/n*n)) assuming n is positive.\nAnswer: n**(185\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Does 1410 divide 6247437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 188125 rounded to the nearest one thousand?\nAnswer: 188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 450 - 394. Let g be (-3)\/(-90)*f + (-4)\/(-30). Which is the third smallest value? (a) -3\/4 (b) g (c) 10\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 14 in descending order.\nAnswer: 14, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000105453 to seven dps.\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128966 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = -1. Let b = 298 + -296. Suppose 16 = -5*q + 6. Put x, q, b in decreasing order.\nAnswer: b, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155.5 - 154.5. Which is the closest to -2? (a) -4 (b) 9\/7 (c) -2\/7 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(((-10)\/(-4))\/(-5)). What are the prime factors of -1*18*10\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 924273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15 - -17)*(-2 - -86)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v**3 + 1 + 8*v**3 + 3*v + v**2 - 4*v**3 to the form g*v**2 + c*v + k*v**3 + n and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2856 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22797626?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 2\/115, 4, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6) + 3\/(-2). Let f = 7 + h. What is the third derivative of -2*x**2 + 2*x**2 + 2*x**f - x**2 wrt x?\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 17*n**2 - n - 16. Let u be p(-17). Let m(y) = -49*y**2 + 79*y**2 + 86*y**2 - 2*y. What is the units digit of m(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -48. What is the third smallest value in y, 0.5, -1\/2, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 75, -2*z = 4*f - 5*f - 4*f + 763 - 728 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2\/7, 1\/10, -19, 1\/38, -1 in ascending order.\nAnswer: -19, -1, 1\/38, 1\/10, 2\/7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**7\/840 + h**6\/180 + h**5\/120 - h**3\/3 - 3*h. Let j(i) be the second derivative of k(i). Give j(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 13*l - 4. Let a be m(14). Suppose 0*h - h = 4. Let x = h + a. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.36 + -909.64. What is the second biggest value in t, -3\/5, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*a = l, -l = 5*a + 4. Is 379*l + 0\/(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1067 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.44 + -46.84. Let g = y + 37. Let v = -5.39999927 - g. What is v rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-16)*12\/(-9). Let r(p) = -44*p**2 - 35*p**h + 13*p**2 + 1. Let c(u) = u**2. Calculate r(c(d)).\nAnswer: -66*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 16*n - 5*n in the form l*n + k and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2)*6 + 0)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9947, 9937, 9929, 9923, 9919, 9917, 9917?\n\"Answer: u**2 - 13*u + 9959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17640 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - q**3 + 30 - 52 - 3*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -13*z**4\/4 + z**3\/3 - z**2 + z - 245. What is p(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1295*r**6*s**3 - r**2*s**3 - 2*r*s**2 + 61*s**3 wrt r?\nAnswer: -155400*r**3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000225287 to seven dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*(3*u**3 - 3*u**3 + 2*u**5) + (2*u + u - u)*(-2*u**2 + 2*u**4 + 2*u**2).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 43 divided by -2\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31928 divided by -1228?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (0 - 22 - -5) - (-1 - 9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -31. Suppose 5*c = -4*f + 13143889, 5*f - 6*c + c - 16429895 = l. Let w = -4705976 + f. Round w to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*u + 47*u - 780. Let g = u + -37. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-30) + (-3 + 4 - 1). Suppose 3*f = -2*f - 60. Let d = 8 + f. What is the nearest to 1 in 0.4, d, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07677 + 0.10677. What is the closest to 0 in -2\/9, -0.07, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 41864111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1978731\/28 + 5\/140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11970 divided by 3?\nAnswer: 3990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 97776350 and 78221080.\nAnswer: 391105400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 5*p**2 - 5*p + 4. What is the remainder when i(6) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1512*d + 23. Is a(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-25)*5)\/(-13*13\/(-169))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 25 = 5*q, 3*s + 3*q = q - 10. Solve 25 = -5*t - s*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47755105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*p - 9, g - 3 = 15*p - 14*p. Suppose -z + 2 = -5*r, -g*r - 3*z = -4*r + 8. Let i(j) = -6*j**3 + 1. What is i(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/21*(277200\/500)\/42.\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 471191 and 539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 5\/2*k**4 + 0*k + 0*k**2 + 24*k**3 - k**5 - 135. Find the third derivative of p(y) wrt y.\nAnswer: -120*y + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 12, a: 5, t: 2}. Give prob of picking 2 a and 1 t.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 636810*666\nAnswer: 424115460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-45) - (-11)\/(495\/10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2249, -10082, -23549, -42644, -67361, -97694?\nAnswer: -133637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -16*y + 1457. What is v(106)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -8*f + 12. Suppose -4*v + v = -f*o + 18, 3*v + 12 = 3*o. What is the third biggest value in 1\/2, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 6) in base 4?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 78\/(-273) + (540\/28)\/1. Does f = 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 8*n - 1. Solve -n = -5*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*t - 4*s, 0*t = 2*t + s - 4. Solve m = -d + 2, -4*m + 17 = t*d - d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146199 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 + 5*t - 2. Let g(h) = h - 1. Let w(p) = 5*g(p) + r(p). Suppose -5*d - 24 = -d. What are the prime factors of w(d)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 + 25\/(-3). Let l be (-2)\/i - (-9)\/(-20). Let x = -6\/1321 + -6587\/3963. Which is the biggest value? (a) l (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/20)\/((-1)\/5). What is the nearest to -1.48 in y, 1\/5, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (41 - 10)) + (50 - 31).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*h - 2*h - 10, 5*g + 3*h = 2. Let p(l) = -19*l + 22. Let a(o) = 20*o - 23. Let v(s) = g*a(s) - 3*p(s). Let q(r) = -6*r + 7. Give 11*q(b) + 4*v(b).\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 95610?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7632 is divided by 7616.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -137*c**2 + 135*c**2 - 6*c + 6*c. Let y(f) = -2 + 18*f**2 + 39*f**2 + 8*f**2. What is o(y(a))?\nAnswer: -8450*a**4 + 520*a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*3 - (-170)\/120?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + 0.1. Let f = z + -0.5. Let g = -374\/7 - -741\/14. Put g, 5, f, -1.4 in descending order.\nAnswer: 5, f, g, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**8\/420 - n**6\/90 + n**3 - 4*n**2. Let y(u) be the first derivative of i(u). Find the third derivative of y(v) wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 45 - h - 47 + (-h - 2*h + 2*h)*(-1 + 4 - 4) to f + m*h and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/24*-8*15\/6. Let h = -9 - -13. Sort -2, y, h in increasing order.\nAnswer: -2, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/7)\/(((-4)\/2)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47917*y**3 - 80515*y wrt y?\nAnswer: -287502*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**4\/42 - m**3\/21 + 2*m**2\/7 - 3*m - 9. Let h(d) be the first derivative of i(d). Solve h(l) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/3*3\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*p**3 - 42*p**3 - 41*p**3 + 123*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, 4, -7061 in increasing order.\nAnswer: -7061, -8, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 24578743?\nAnswer: 24578741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = v. Let t(k) = 5*k - 4. List the prime factors of t(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-3)\/6 - 7 - 352\/(-60). What is the closest to 86 in -1\/3, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lppp when four letters picked without replacement from klatkplttlppaltltl?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/13823382 and 55\/1048?\nAnswer: 55293528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1103, 2206, 3309, 4412?\n\"Answer: 1103*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2))**(1\/12)*((k*k*k\/((k*(k\/k**(-1\/3)*k)\/k)\/k)*k*k)\/k)**(-1\/10) assuming k is positive.\nAnswer: k**(-9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*k - 6380 = -9*v, 0 = -2*v + 3*k + 3189. Is 42 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -503, -504, -505?\n\"Answer: -d - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v + 409. Let p(f) = -f + 57. Give p(k(x)).\nAnswer: 2*x - 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3 + 3052*o**2 - 83538*o + 503172 = 0. Calculate o.\nAnswer: -1553, 9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/7 - 44*u**2\/7 + 306*u\/7 - 648\/7 = 0.\nAnswer: 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -1338, -4656, -11114, -21756, -37626, -59768?\nAnswer: -89226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*o**2 - 14*o**2 + 31*o**2)*(-5*o**2 + o**2 + 5*o**2) - 8*o**4 + 2*o**4 - o**4 in the form d*o**2 + q + c*o**4 + h*o**3 + y*o and give c.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 5:01 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 273534.\nAnswer: 273534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**8\/20160 - h**6\/144 + h**5\/30 + 6*h**2. Let n(x) be the third derivative of l(x). Is n(-4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u*x**3 + 65*u*x + 2597*u - 3*x**3 + x - 1 wrt x?\nAnswer: 3*u*x**2 + 65*u - 9*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poppjttopoopptt. Give prob of picking 1 o, 1 t, and 1 p.\nAnswer: 96\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g = -384. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -51*g + g**3 - g**2 + g**2 - 52*g - 4 + 108*g. Determine k(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 677 + -675. Let s(m) be the first derivative of -k - 3\/4*m**2 - 1\/4*m**3 - 3\/4*m. Solve s(v) = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -12. What are the prime factors of (-240)\/(-9) - z\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 16\/(0 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-4))\/(2\/((-8)\/9)). Is -0.016 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -74, -81, -20, 109, 306, 571, 904?\n\"Answer: 34*b**2 - 109*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26314 and 354.\nAnswer: 78942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1122\/297 + (-5 - -1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 21\/322510?\nAnswer: 21\/322510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -601*b**3 + 13*b - 28. Let t(q) = -1803*q**3 + 37*q - 77. Determine 4*t(g) - 11*w(g).\nAnswer: -601*g**3 + 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 7:37 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1088540301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6372 rounded to the nearest 100?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3915.723 weeks to microseconds.\nAnswer: 2368229270400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*j + 117 + 43 = 0, 3*j - 25*j + 1722 = 2*j + 18*j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8.34, 4, -3 in descending order.\nAnswer: 8.34, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*d**3*y + 2*d**2*y - 650*d**2 + 37725*d*y wrt d.\nAnswer: -624*d*y + 4*y - 1300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from aeaaanaaaaa.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136776?\nAnswer: 2, 3, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 59*k - 71*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7530\/101 or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 1\/60*x**6 + 0*x**4 + 7*x**2 + 0*x**3 + 5 + 0*x + 0*x**5 - 1\/336*x**8 + 1\/210*x**7. Let g(q) = 0. Calculate q.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**5\/15 - 46*v**4\/15 + 92*v**3\/15 + 2992*v**2\/15 - 4672*v\/5 + 5376\/5 = 0?\nAnswer: -21, -12, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2 = -4*v - 6, 4*v + 8 = -2*s. Let w be v*(5\/(-10) + -1). Solve x = -w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 2, l: 3, w: 1}. Give prob of sequence wqm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m**4 - 2*m**4 - m**4 - m**4 - 2*m**4 + 5*m**4 + (-2*m**3 + 5*m**3 - m**3)*(-m + 5*m - 2*m).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 5458474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2 + (-34804)\/(-88). Let j = p + 97. List the prime factors of j.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109474735 - 1654053774299\/15109. Let z = p - -2\/521. Let l be ((-1)\/3)\/((-2)\/(-6)). Which is smaller: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 3*p - 2*p + 15*p**2 + 2*p**3 + 7*p**3 - 15.\nAnswer: 5*(p - 1)*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 38*n + 43*n + 43 + 45*n - 123*n. Let p(k) = 17*k**2. Determine y(p(r)).\nAnswer: 51*r**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -23. Suppose -4*s - 10 = -w*s. Let v = -3 + 19. Calculate the greatest common divisor of s and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14324*j - 43036*j + 14278*j + 14271*j.\nAnswer: -163*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7918 = -4*h - 3198. Let u = h - -4158. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3015 and -27\/11390.\nAnswer: 102510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7460497 + 5760*d + 7460497.\nAnswer: 5760*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -178 - -18205?\nAnswer: 18016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*b + 34 = -1 - 17 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 91*q**2 - 299. Let d be w(0). Let h(p) = 29*p**2 + 6*p + 6. Let y(a) = -1449*a**2 - 299*a - 299. Calculate d*h(i) - 6*y(i).\nAnswer: 23*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0*o**2 + 1\/3*o**3 - 3*o + 0. Let x(c) = 6*c**2. Determine x(r(m)).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0)**(-19\/5))**(-1\/30) assuming p is positive.\nAnswer: p**(19\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -825261 + -0.2?\nAnswer: -825261.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 2:54 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*l - 5*m, -2*l + 2*m + 7 = 3*m. Suppose 2*j - 32 + 24 = -n, -3*n = 2*j - 8. Suppose 0 = -l*r - n*r + 90. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/64 and 111\/224.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-648)\/(-918)*-34*((-1)\/9)\/((-6)\/(-9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 1, a: 1, n: 2, z: 1, c: 2}. What is prob of picking 2 n?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -238015 divided by -47603?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 1008*i**2 - 17496*i.\nAnswer: -2*i*(i + 18)*(i + 486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -261267 and 14.5841.\nAnswer: -261252.4159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/13 - 710*b\/13 + 11100\/13 = 0. Calculate b.\nAnswer: -370, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471 divided by 157.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*y**2 + 103*y**2 + 90*y**2 - 313*y**2.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from xdiulddiddxiixxdd?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l + 2*a - 31 = 0, 0 = -l + 5*a + 17. Let i = l - -8. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -459 + 454. Let i be p\/9*646\/(-190). Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8874920 divided by 8\nAnswer: 1109365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 9*i - 80 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 91121540 and 51.32883.\nAnswer: 91121591.32883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 2300.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 = 5*m - 3*n, 5*m - 4*n + 6 = 0. Solve m*u - 3*o = 8, u + o = -o - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 0 + 0*a + a**3 + 40*a**2 - 1\/2*a**4 = 0.\nAnswer: -8, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22268 - 12063. Suppose -h - 13635 = 5*y - y, -3*y - 5*h - m = 0. What is y rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 225, 6 in ascending order.\nAnswer: -5, -3, 6, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, s: 13, t: 4}. What is prob of picking 2 s and 1 t?\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 12*a**2 + 85*a + 49. What is the thousands digit of p(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((0 + sqrt(1088) + 1 + (sqrt(1088) - (sqrt(1088) + 0)) + -1 - (-6*(sqrt(1088) + 0 - sqrt(1088)) + 1)) + 3))**2.\nAnswer: 32*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-72))\/(15\/27). Let z be 2\/(-9) + (-58)\/(-18). Let x = -0.05 + 1.05. Put s, z, x in ascending order.\nAnswer: s, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 23*i**2 + 23*i + 12. Determine y(24).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 - 1 + 971932*m + 0*m**3 - 971936*m + 5*m**3 + (4*m - 6*m + m)*(-2*m**2 + m**2 + 3*m**2).\nAnswer: 3*m**3 - 4*m**2 - 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l + 16 = 0. Let o = 0.3 + -0.3. Let h = 0 + o. Put l, h, -5 in ascending order.\nAnswer: -5, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x. Let d(q) be the second derivative of q**6\/360 + 2*q**3\/3 + 2*q. Let k(h) be the second derivative of d(h). Determine t(k(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 - 17*t - 24)*(104 + 118*t - 104) in the form x*t + i + l*t**2 and give l.\nAnswer: -2006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**5\/60 - t**4\/24 + t**3\/2 + 4*t. Let u(j) be the second derivative of s(j). Determine u(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3201, 3\/2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -14. Suppose 4*f - v = 136, 9*v - j*v + 20 = 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54984.\nAnswer: 2, 3, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160982 is divided by 172.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -10. Let g = 125 - 73. Calculate the remainder when -2 + g - (-4 + 7) is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d. Let w(l) = 2*l**2 + 1642*l. Determine w(n(i)).\nAnswer: 50*i**2 - 8210*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 51.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 84 = -5*v. Solve -p = l - 7, -3*p - 2*l + 3 = -v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0288 - 3.9412. Let g = -12.03 + c. Which is bigger: -5 or g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8 (b) -0.5 (c) -8670 (d) -1\/3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2 + 2 - 153*m + 159*m. Let k(r) = -r**2. Calculate d(k(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-2\/19)\/p))**16\/(p\/p**(-16)*p*p*p\/((p*p**(1\/24))\/p*p)) assuming p is positive.\nAnswer: p**(6715\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 288860798431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000445 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-2))\/(45\/18). Let q = z - -32\/15. What is the closest to 0.1 in q, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - sqrt(32))\/sqrt(4))**2*6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1210*y**3 + 10*y + 12*y - 1214*y**3.\nAnswer: -4*y**3 + 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i - 14. Let v be c(25). Let h = v + 499. Does 35 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3240 (base 5) to base 6.\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1068*-0.4.\nAnswer: 427.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-18)\/(-2))\/3*(-70)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-4*-5*(-8)\/13280?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3680 + 3680 + 330*y**2)*(y**2 + 8*y - 8*y).\nAnswer: 330*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149419 or -149464?\nAnswer: -149464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 i, and 2 a when four letters picked without replacement from {z: 2, i: 2, w: 2, a: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**4\/30 - 58*s**3\/45 - 32*s**2\/3 + 512*s\/5 - 510. Factor l(m).\nAnswer: -2*(m - 3)*(m + 16)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 93*s + 58. Calculate the least common multiple of u(-46) and 98.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, t: 7, w: 6}. Give prob of sequence ttww.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (5\/15)\/(-1)*-3. Suppose 624 = l*i - 2*d, -i + 186 = 3*d - 11. List the prime factors of i.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/84)\/(8\/14).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -2\/9 (c) 0.1 (d) 7\/9 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3555?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 85672124 - -5?\nAnswer: 85672129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w. Let v(p) = -262356*p**2. Give q(v(y)).\nAnswer: 524712*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 3)\/6 - 4. Let l(t) = 6*t + 1. Let i(n) = -6*n. Let z(q) = a*i(q) - 4*l(q). What is z(-3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1491*c - 25720. Determine l(17).\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 4. Suppose 18*w - 111 = -273. Give r(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/33 - (0 - (-1637)\/(-11)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - j**2 - j + 1. Let n = -275 + 275. Determine x(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -19 + 29 - (-244)\/(-148)*3?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5\/2 + u**4\/2 + 5*u**3\/2 - u**2\/2 - 4*u - 2 = 0 for u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 8 = -7*q. Let w be -6*2\/(-4) - q. Calculate the remainder when 49 is divided by (-10)\/5 + w + 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 1\/2*c**5 + 0*c + 1\/120*c**6 + 0*c**3 + 0 + 0*c**4 + 246*c**2 - 81\/70*c**7. What is the third derivative of l(i) wrt i?\nAnswer: -5832*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1319 - -1323. What is the least common multiple of 248 and o?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*h = 423*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -10, 260, -208, -1 in increasing order.\nAnswer: -208, -10, -1, 2, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*j + 4. Let q(v) = 6*v - j*v + 0*v. Let t(w) be the first derivative of w**2\/2 - 3. Calculate t(q(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcq when three letters picked without replacement from cccqcccccccqqqqcqcq?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 50. Let c be (-2)\/9 + a\/(-9). Factor -4\/3*k**3 + 2*k**c - 2\/3*k + 0.\nAnswer: -2*k*(k - 1)*(2*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 - 8819 = -4*f. Let i = 38182 + -1908987\/50. Calculate the common denominator of (f\/(-120))\/((-9)\/(-6)) and i.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/8)\/b**(-2\/39)*(b*b**0)**(3\/10) assuming b is positive.\nAnswer: b**(1133\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = -5*a. Let h be (a + (0 - 1))\/(-1). Find the first derivative of 0 - h*b + 0*b - 2*b - 3 wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2362 + 11?\nAnswer: 2373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 83, -1167 in decreasing order.\nAnswer: 83, 2, 1, -1167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -34*j. Let h(x) = 0*x**2 - 2*x**2 + 3*x**2. Give h(d(n)).\nAnswer: 1156*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -24\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 34371 = -3821. Let z be (81\/6)\/(((-108)\/u)\/(-9)). What is the tens digit of z\/72 + (-1)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 33*c**2 + 5*c.\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2. Let n(w) = -15*w**2 - 6. Let o(v) = -30*v**2 - 13. Let f(b) = -13*n(b) + 6*o(b). Calculate l(f(x)).\nAnswer: -450*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by 1021451?\nAnswer: -68\/1021451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7596 - 7584) + 2 + -1 + (1 - 0) + -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -311 + 724. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-415)\/40 - -10)*(-5 - 3). Solve -4*b = -5*z + 16, 0 = -6*z - z - h*b - 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/15)\/(10\/300)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 15*f - 6. Let b(c) = 14*c - 7. What is 6*b(a) - 7*k(a)?\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12780)\/(-6390)*(-14)\/(-1)*-2*10\/4?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 311. Let t(j) = -1046*j. Give m(t(q)).\nAnswer: 2092*q + 311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7150 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*a**3\/2 - 527*a**2 + 2531*a\/2 - 66 = 0.\nAnswer: 4\/75, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + w**3 + w**3)*(-118*w**2 - 163*w**2 - 80*w**2 - 239*w**2 - 44*w**2).\nAnswer: -3220*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 + 7 + 0 - 2 - j - 5 - 198*j**2 wrt j?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38980584 by 19490292.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4745, -4741, -4735, -4727, -4717?\n\"Answer: x**2 + x - 4747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4914 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by (7056\/(-39))\/(-7) + 4\/26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244728 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0336 - 57.9336. Let m = -58.311 - h. What is m rounded to two dps?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-72)\/16 + 6)*6. Let y(f) be the third derivative of 0*f + f**3 - o*f**2 - 5\/12*f**4 + 0. What is the first derivative of y(a) wrt a?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537018 is divided by 134252.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824564502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 + b**4 - 2*b**5)*(-9 + 2 - 19).\nAnswer: 52*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z - 27*z**2 - 4*z + 38*z**2.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 2*q**2 + q - 9. Let y be f(-4). Suppose 3*m = 2*m + y. Let v = 167 - m. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 82780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.7 + -3. Suppose 9*n + 495 = 729. Suppose -6*f = -n + 26. Put w, f, -3, -1\/4 in increasing order.\nAnswer: -3, w, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)*2 + sqrt(6))\/sqrt(3) + 6*sqrt(128).\nAnswer: 51*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -13*v**6\/60 - v**3\/6 - 15*v**2. What is the derivative of o(i) wrt i?\nAnswer: -78*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21018*y + 11*y**3 + 8*y**3 - 21018*y.\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 206389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 295975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/((-2)\/12)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 186*b + 436 = 47*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*w - 2*u, 3*w + 3*u - 45 = u. Let j = w - 15. Suppose -2*a + 27 = 5*m - 10, -5*a - 2*m + 40 = 0. Solve j = p - a*p + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 21. Calculate the greatest common divisor of 112 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/67618 and -19\/33.\nAnswer: 2231394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2966?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*2\/(-2) + 493\/170. Let u = -3 + 2.9. Is l less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -534.43 - -4.43. Let d = m - -227. Let h = 304.99 + d. Round h to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(3 + -1)*5. Suppose 2*q - 5 - z = 0. Find the third derivative of d**q + 2*d**5 - 6*d**5 - 2*d**2 wrt d.\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8)*-6)\/(5\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-27) + 155\/1395. Let r(h) = -4 - 3 + 2 - h**2. Determine r(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 787609 - 50408089\/64. Let i = q + -7\/64. Calculate the common denominator of -53\/2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 130 = 5*v, -2*v + 8*u - 3*u = -52. What is the highest common divisor of v and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + o**2 + 21*o + 5. What is v(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*a*u**4 - 183*a*u**3 + 4*a*u + 6*a + 63*u**2 wrt u?\nAnswer: -192*a*u - 1098*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385772302 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: Let r(w) be the second derivative of -w**3\/3 - 3*w**2 - 25*w. Let t = 9 - 15. What is r(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 44 = 5*v, 3*v = -4*g + 7 + 13. Let r(i) = 6*i**2 - 16*i**2 + v*i**2. Let c(z) = -4*z. Give c(r(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 5:32 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -61. Let t be -3 - (234 + 0) - g. Find the common denominator of 143\/24 and 234\/t + (-3 - 1*-1).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3374578, -6749156, -10123734?\nAnswer: -13498312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sax. Give prob of sequence sx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 7*t. Suppose t = -n + 4*n + 9. Is (2 - n)*3\/3 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2790 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 91*z - 183. Is q(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (0 - 4\/4). Suppose c = -o*c + 20. Solve 3*l - 3*g + 1 + c = 0, 2*l + 8 = 4*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3208162601 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 16.2. Let c = d - -1. Let h = 0.1 - -0.4. Sort c, -3\/8, h in decreasing order.\nAnswer: h, c, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -61, -2 in ascending order.\nAnswer: -61, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 - 2. Let a(o) = o**3 - 4*o**2 + 3*o. Let w be a(2). Let y(m) = -21*m**2 - 15. Calculate w*y(l) + 15*f(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**4\/4 + y. Let d = 41 - 46. Let w(m) = -m - 5. Let t(c) = -c - 6. Let i(x) = d*t(x) + 6*w(x). Determine i(n(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 3*b + 1. Let c be j(2). Suppose -75 = -y - 4*y. Suppose 2*i - 5*i = -y. Solve 5*g + i*p - 15 = 0, -3 = 3*p + c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 15*d + 261. Is o(5) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1147701 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 942, 1872, 2802, 3732?\nAnswer: 4662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**5\/12 + a**4\/8 - 157*a**2. Let r(j) = -21*j**2 - 13*j. Give -26*b(i) - 6*r(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/2 + 10*f**3 - 192*f**2.\nAnswer: f**2*(f - 12)*(f + 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2669438 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*i - 7*i - 2*w, -i + 3*w = 3. Let u = -6 - -19\/3. Let o = -1.89 + 1.84. What is the second biggest value in i, o, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Suppose 25 = 2*d - d + 3*g, -t*g - 10 = -2*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 29. Suppose 17*w - 12*w - a = 0. Solve m + 9 = w*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 0, -199606 in descending order.\nAnswer: 0, -70, -199606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 28457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 18 = 11. Suppose -51 = f*p - 4*p. Let c(l) = l**3 + 18*l**2 + 12*l - 40. Let t be c(p). Calculate the highest common divisor of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847 (base 9) in base 2?\nAnswer: 1010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54210739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 3*d + 7 = 0, -84*h + 5*d = -80*h - 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(-8)\/(-36)*-3*11\/77. What is the fourth smallest value in 0.2, i, 15, -0.22, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2\/2 - x\/2 + 1 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -26, -43, -64?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*l**3 - 186532*l**2 - 124352*l.\nAnswer: -2*l*(l + 31088)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -7\/5, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -13. Let s = -12 - g. What is the third biggest value in -1\/6, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2 = -8. Let s = 0.1 + -0.5. Let f = 0.5 + s. What is the closest to f in 1\/4, -3\/8, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-144)\/28)\/((-10)\/315). Suppose 0 = 5*o - o - 72. What is the greatest common divisor of g and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2298827*d**3 - 11805*d + 23610. Let b(a) = 779*a**3 - 4*a + 8. Calculate 11805*b(y) - 4*o(y).\nAnswer: 787*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 7:43 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (-4 - -5 - 6 - (-53 + -40))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -5*m + 39 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*f - 5*o + 1, -2*f - o - 9 = 0. Let u = 4 + f. Suppose 6*p + 4*b - 219 = p, u = -2*b - 8. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*47629\nAnswer: -47629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -635 + 636 + 71 + (1 - (-2 - -1)) - 7?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000159621892 rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -16 + 5*k + 11 + 4. Suppose n = 4*q - 3*n - 12, -4 = 2*n. Let m be s(q). Solve -3*r + m*t = 19, 3*r + 6 = r - 4*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2485, 5, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -9. Suppose -5*j = -x*n + 99, 1 = -5*n - j + 132. Suppose h - 53 = n. Is h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1100) - (1*sqrt(1100) + 5))*-1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x - 3*s - 246 = 0, 2*s + 10 = 0. Suppose -2*b + x = 43. What is the second derivative of -14*f - 9*f**3 - 8*f**3 + b*f**3 + f**4 wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s. Let g(h) = -52*h + 1. Determine g(q(b)).\nAnswer: 52*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -y. Suppose 2*j + 8 = y*j. Suppose 0 = j*s + x - 6, 0*s - 2*s + 6 = 5*x. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**2 + 2*p**2 + 4*p**2 + (-4*p + 0*p + 2*p)*(3*p - 3*p + p) + 0 + 0 - p**2 - p**2 + 4 - 4.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 509, 3\/5, 15, -0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*w**3 + 0*w**4 + 2*w**4 + w**2 + 100*w**3 to the form a*w**2 + p*w**4 + j*w**3 + b*w + y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -822, -932, -1100, -1326, -1610, -1952, -2352?\n\"Answer: -29*v**2 - 23*v - 770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Let t(y) = -2*y - 675. Let x(b) = b + 8. Let w(q) = t(q) + 7*x(q). Determine j(w(a)).\nAnswer: -5*a + 619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1.8. Let o = 2.4 + -3.1. Let t = o + l. What is the closest to 0 in t, 1, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wswwwssssqsuwssuq. What is prob of sequence suws?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 14, -1.9, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 645795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 177, 2, -2, 39 in descending order.\nAnswer: 177, 39, 5, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 173610 and 21219?\nAnswer: 1909710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56\/3 + 19. Let j = 6 - 3. What is the nearest to q in -2\/11, -1, j?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -23*y**2. Let a(u) = -5*u. Give w(a(b)).\nAnswer: -575*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76.818 - 0.682. Let c = k - -75.5. What is the nearest to c in 42, 0.4, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 2*p. Find the first derivative of -z**2 + 8*z**3 - 10*z**3 + 10 + z**p wrt z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20382097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111 + -112. Let y be (w - 249)*((-30)\/(-5) - 2442). What is y rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 44*f**2 + 262*f + 120. Let m be l(-37). Solve m*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + 0 + 0 + (-2*x**2 + 2*x**2 + 3*x**2)*(-889 + 889 + x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 485\/204 + -3\/68. Let p = i + -3. Which is the nearest to p? (a) -0.4 (b) 6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -3 (c) 1242 (d) -1 (e) -2384\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -37*b**4\/4 + 10*b + 4. Differentiate i(m) with respect to m.\nAnswer: -111*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a8 (base 14) to base 8.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, n: 3}. Give prob of picking 4 b.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t - 11. Let c(r) = 81*r + 1065. Let u(o) = -c(o) - 4*i(o). What is the derivative of u(s) wrt s?\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 0 + 1\/20*j**6 + 0*j**3 + 0*j**5 - 1\/84*j**7 + 0*j**2 + 4*j - 1\/6*j**4. Let r(c) = 0. What is c?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 0, 4, 22, 60, 124, 220, 354?\n\"Answer: t**3 - 2*t**2 - 5*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.0945 grams to tonnes.\nAnswer: 0.0000840945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12334 + 40?\nAnswer: 12424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-36)*-1*5*56\/(-140)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 7*m**2 + m - 4. Let i(y) = -y**2 + y + 9. Let p be i(0). Let k be x(p). Suppose -5*c = 42 - k. What is the remainder when c is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 13*q**2 + 12*q. Let z(a) = 25*a**2 + 23*a - 1. Let h(k) = -5*m(k) + 3*z(k). Is h(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**4\/4 - 5*h**3\/3 - 5*h**2\/2 - 3*h - 103. Give w(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -14*r + 7. Let g = 24 - 6. Let h = 12 - g. Is f(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*y + 14, 0*y - 5*w = -4*y + 26. What is the greatest common factor of y and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 45, -5, -4609 in decreasing order.\nAnswer: 45, -5, -12, -4609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 626, 659, 696, 737, 782?\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 281 - 177. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/((-40)\/(-15)))\/((-36)\/960*10) + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 34. Let s = 28 + t. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2856 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 798 divided by -2.\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*u + 120, -103 = -3*q + q + 5*u. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1580\/(-2*3\/732). What is l rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 480*l**3 - 3255*l**2 + 75*l. Let d(n) = -13*n**3 + 88*n**2 - 2*n. Determine -2*a(c) - 75*d(c).\nAnswer: 15*c**3 - 90*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 63 + 23 = 0. Let a = 320 - g. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -2*q**3\/27 + 163*q**2\/9 - 2152. Suppose i(l) = 0. What is l?\nAnswer: 0, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 2*h + 225. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/86 - 49\/172. Let r = 3 + -1. Let w(s) = 4*s + 1. Let g be w(1). Which is the nearest to 0? (a) z (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u\/u**(2\/5)*u*u)*u*u**(-2\/5))**(27\/7))**(-39))**32 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74\/93 - -4\/31. Which is the nearest to -0.1? (a) z (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 751867567 to the nearest integer?\nAnswer: 27420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 43 - 19 = 0. Let n be (60\/m - 6)\/((-6)\/16). Suppose 10*r + 35 = 5*d + 7*r, -4*r = -20. Put -1, d, n in decreasing order.\nAnswer: d, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 486 and 11?\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -264, -3, -29, -4, 2 in descending order.\nAnswer: 2, -1, -3, -4, -29, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39260 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(5\/7))\/u*u)\/u**(3\/4) assuming u is positive.\nAnswer: u**(-13\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106079 or -106082?\nAnswer: -106082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mssv when four letters picked without replacement from {m: 1, v: 1, s: 4, e: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-3 + (-2 - -3)). Let b be (f - 5)\/(2\/(-30)). Let y = b - 32. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 207\/10 (b) -5\/2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 51 = -8*c + 18 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 239999.08 rounded to the nearest 100?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 172 + -110. Suppose t = -t + n. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 - -102. Let c = -45 + g. Which is bigger: c or -17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -447, -949, -1523, -2193, -2983?\n\"Answer: -4*u**3 - 12*u**2 - 438*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 9*l + 1. Let p be h(7). Let f = 16 - p. Solve -t + 1 = -f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-280))\/(9\/36)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = -10*d - 42. Suppose d*z - 7*z = -143. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*f - 58. Calculate the smallest common multiple of f and 12\/(-10) - (216\/(-315))\/((-4)\/(-602)).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 1. Let h(j) = -2*j - 4. What is 3*g(s) + h(s)?\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zznzzzzzznzzzzzzzn. What is prob of sequence znnz?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -13*t**3 - 5*t**2 - 4*t - 1. Suppose -3*i + 3 = 0, -4*d + 5*i = 7 + 10. Is k(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 138 = 4*q. Let c be q\/(-10) - 6\/15. Let z be 4*(c\/2)\/(-5). Solve 2*w + 0 = z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(190)*1 + sqrt(190))\/sqrt(10) - (1 + -3 + sqrt(19) + 2).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5679583 is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2256 + -1586. What is the remainder when g is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 239891565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 138*y + 1311. What is j(-10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (2 + 12)\/(-2). Let d be 2 + 8\/x + 7. Solve d*s + 10 = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 5*n - 1. Let h be z(2). Suppose 16 = -t + 5*o - h, 5*o - 41 = -4*t. Let w(b) = -b**3 + 2*b**2 + 3*b. Calculate w(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2 = -8. Let g(n) = n**2 + 6*n + 6. Let t be g(d). Let l be -3*t\/6*-1340. What is l rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Let r = 0.73 - 1.23. Sort q, r, 1\/2 in ascending order.\nAnswer: r, q, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*h**2*i**3*r**2 + 2*h**2*i**3 + h**2*i**2*r**2 - 6*h**2*i*r**2 - 5*h*i**3 + 2*h*i**2 - 8*i**2*r**2 wrt i?\nAnswer: 246*h**2*r**2 + 12*h**2 - 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2694*c - 734986 = 4191*c + 3421*c + 2901*c for c.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/40*84\/63)\/(-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2000105887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*c - 7 - 4, -3*s - 1 = -c. Solve 10 = 5*h + 2*m + 3*m, -2*h + 3*m - s = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -12. Let b = 1860\/13 - 143. Let t = 23\/39 + b. Which is smaller: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -557 + 574. Is 141 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -13. Suppose -5*o = -r - 4*r + c, 5*o = -4*r + 3. Suppose 2*z = -r*z + 16. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**2. Let b(g) = g**3 - 6*g**2 + 5*g + 3. Let d be b(5). Suppose 10 = u - d*z - 6, 4*u - 19 = 3*z. Calculate w(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of (-1)\/1 + 4 + 29 + -2 + 2322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 17*c**2 - 5*c. Let w(h) = 168*h**2 - 49*h. Let g(p) = -49*i(p) + 5*w(p). Suppose 4*x - 6 = 6. Let v(t) = -3*t + 3*t + 5*t - x*t. Determine g(v(q)).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1300 and 248895.\nAnswer: 64712700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55625524 (base 8) to base 7.\nAnswer: -204014416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132 + -121.8. Let q = 14.2 - f. Which is the third biggest value? (a) q (b) -1 (c) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 - 44*n**2 + 6*n + 153. Calculate the remainder when 290 is divided by t(-22).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*(-2 + (sqrt(2) - (sqrt(2) + 4))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 4*k**2 - 2*k + 2. Suppose 116*x - 150*x - 102 = 0. Calculate o(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 16510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 1. Suppose 2*n = -4*q + 1 - 11, -q - 4 = 2*n. Let t(k) = -2*k**2 + 3*k + 2. Let m(i) = n*t(i) - 3*s(i). What are the prime factors of m(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (69 + -13)\/14*4. Solve n - s = 5*a, a - 9 = 2*n - 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.220444065 + 14\nAnswer: 13.779555935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1514, -1514, -1516, -1520?\nAnswer: -1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -64, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -11*m**6\/6 - 2*m**3\/3 + 7. What is the third derivative of k(u) wrt u?\nAnswer: -660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 4167833.\nAnswer: 4167832.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.22887 or -3?\nAnswer: 0.22887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/(128\/(-4620288)*-128)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 7*g**2 + 10*g - 12. Let s be u(8). Let p be s + -8 + 10\/3. What is the closest to 7 in -2\/17, -4, p?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 9:55 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xpxxpppxxxxxpxxpxpx. Give prob of picking 4 x.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7697141 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pptv when four letters picked without replacement from ttvbpptbtv.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 5*n**2\/2 - 16*n + 1. Let p be (1 + 0)\/((-1)\/(-3)). Let g(f) = 8 - 8 - f + p. Determine -11*g(q) - 2*j(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + 0*v + 0*v + (0 + 0 - v)*(1 - 5 - 2) as x*v + r and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-7))\/((-16)\/56).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 147937 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: Rearrange 58 - 30*w + 65 - 17*w + 81*w - 32 to the form q + r*w and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256247 and 604.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2)\/(0 - 1). Let y = 19\/2 - 10. Let z = -0.1 - 4.9. What is the nearest to g in y, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c - 34*c = -8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/5 + 69*p\/5 + 30.\nAnswer: -3*(p - 25)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from {w: 2, q: 1, z: 3, g: 7, b: 3, a: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/3234 and 37\/383180.\nAnswer: 12644940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-8*8\/(-256)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + 0)*1 + (sqrt(1539) + 1)*3 - (4 + 2 + 1 + sqrt(1539) + -4)**2.\nAnswer: -1545 - 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258296 divided by -83.\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3\/2 + 2523*p**2\/2 + 20526*p + 35994 = 0. What is p?\nAnswer: -14, -2, 857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 423313, 343, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -a, -5*b + 21 = 5*a - 14. Let i(c) = -c**2 - 10*c - 17. Let o be i(-9). What is the least common multiple of b and (4\/(-6))\/(o\/132)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10713, 21265, 31655, 41883, 51949, 61853, 71595?\nAnswer: 81175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 255086893?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 146358 and 143530 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72.4 + -72. Let z = -1.6 - -2.6. Which is the closest to z? (a) w (b) -0.6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) - 30\/(-8). Suppose 5*p = b*p + 12. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -5*z - 165. Solve -j - 1 + z = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 51*x + 69. Calculate y(-25).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 289 - 637. Let a = -338.45 - s. What is a rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 29*y**2. Let k(n) be the third derivative of n**6\/120 + 15*n**3\/2 + 13*n**2. Let p(b) be the first derivative of k(b). Calculate m(p(c)).\nAnswer: 261*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 746454 and 16.\nAnswer: 5971632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/251, -2, 2\/29 in increasing order.\nAnswer: -2, -2\/251, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -126, -306, -536, -816, -1146, -1526?\n\"Answer: -25*d**2 - 105*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*t + 2396 = -10770. What is the remainder when 1724 is divided by t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -9. Let s(k) be the third derivative of -k**4\/24 + 3*k**2. What is s(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -53792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 2*h**2 + 5*h - 2. Let v be b(2). Let j(m) = -m**2 - 9*m - 4. Let x be j(v). Solve 0 = -3*k + 9, a = -x*k + 4 + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6 + 228*i**3 + 9*i**2 - 19*i.\nAnswer: -240*i**3 + 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 2*l**2 + 5*l - 17. Determine d(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-3)*56\/32?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -6.022759?\nAnswer: 6.022759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -10. Let i = y + -2. Solve -i*q + 5 = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*2\/(-4))\/(20\/10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*i + 18 = 0, 3*h - 4*i + 19 + 5 = 0. Let j = 19 + -15. Let q be (h\/(-16))\/3 - (-35)\/j. Solve 12*n - 15 = q*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(209)\/(2*sqrt(99)) - 3*(sqrt(57)\/sqrt(3) + 1))**2.\nAnswer: -5815\/6 - 102*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 68*b - 2461. Let v(c) = -3*c**2. Give j(v(f)).\nAnswer: -204*f**2 - 2461","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 35*l + 236. What are the prime factors of b(-39)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68117*j**2 + 102*j + 9*j - 68116*j**2 + (-2*j - 2*j + 3*j)*(-j + 2 - 2) as f*j**2 + x + r*j and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, 3, 1\/9, -0.914 in ascending order.\nAnswer: -0.914, -0.14, 1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 7*w - 2*w**2 + 0*w + (1564 - 1564 - 361*w**2)*(1 + 0 + 3) to a + r*w + k*w**2 and give k.\nAnswer: -1446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o - 4. Let w be g(-6). Let b(j) = 5*j - 188. Let h be b(38). Suppose y - 8 = 5*y - 2*u, -5*u + w = -h*y. Sort -5, y, 1 in decreasing order.\nAnswer: 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-4 - 7 - (-19 + 56)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 - h**4 + 2*h**3 + 4*h - h - 4*h in the form g*h**3 + k*h + v*h**2 + n + r*h**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -129130 to the nearest one thousand.\nAnswer: -129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3682042.\nAnswer: 2, 7, 13, 20231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -503*q**6\/60 - 73*q**3\/2 - 772*q**2. Differentiate y(t) wrt t.\nAnswer: -3018*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490670?\nAnswer: 2, 5, 139, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 3, i: 6, h: 5, e: 4, u: 1}. What is prob of sequence ew?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1743 + 0*v + v + 1829 + 3*v + 39*v**2 with respect to v.\nAnswer: 78*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73182.33 + -74288. What is a rounded to the nearest ten?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (1 + sqrt(17) + 4))**2 + (0 + sqrt(17))*2 + (sqrt(1088) + 1 - (3 + (sqrt(17) - sqrt(68)) - sqrt(17))))*4.\nAnswer: 92 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 10 = -m, -m + 32*u - 33*u = 12 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2675 - 2593. Calculate the remainder when a is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/30 - 370804\/118104?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -0.1 (c) 0.3 (d) -57 (e) -48 (f) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 2. Let n be p(7). Let l be 3\/(n\/(-5))*18. What is the tens digit of l\/4*(-8)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + (3 - 2 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -x + 1. Let r = -119 - -122. What is the third derivative of -3*a + a**2 - x*a**2 - r*a**5 + 3*a wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 4 = -4*v. Let o(y) = -y - 1. Let f be o(-1). Suppose 1 - 17 = 4*a. Put f, v, a in increasing order.\nAnswer: a, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-70)*10\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8861 or -180.4?\nAnswer: -8861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -553, -541, -525, -505?\n\"Answer: 2*x**2 + 6*x - 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5*1*sqrt(209) - sqrt(209)) + -5*sqrt(209)*-3)\/(5*1*1*sqrt(1331)).\nAnswer: 38*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 189 - 184. What is the first derivative of 6*t - 2*t - s*t**3 - 10*t + 7*t + 51 wrt t?\nAnswer: -15*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31, -52, -101, -190, -331, -536?\n\"Answer: -2*t**3 - 2*t**2 - t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*h = -57 - 47, 4*u + h - 359 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156754 by 185.\nAnswer: -156754\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43989?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 238\/63 + (-2)\/(-9). Suppose 4*t = 3*p + 39, a*p = 3*p - 3*t. What is the units digit of 4*((-1395)\/10)\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*v**6 - 239*v**4 - 5*v**3 - 720172*v**2?\nAnswer: -6720*v**3 - 5736*v - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ellleeeelelll. Give prob of picking 2 l.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2151 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210201002 (base 3) in base 4?\nAnswer: -20222303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b\/(b*b*b\/(b**(-3\/8)\/b)))\/b)\/b))\/(b*b\/(b*b**(-5\/4)*b)*b*b*b)*(b\/(b*b*b**(-3\/5)*b))\/((b\/((b\/b**(-1\/3))\/b)*b)\/b) assuming b is positive.\nAnswer: b**(7\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 + -95. Is 44 a factor of ((-548)\/14)\/(y\/56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**4*y**2 + 2*d**4 + 760*d**3*y**2 + d**2*y**2 + 11*d**2*y - 2*d*y + 23 wrt d.\nAnswer: -24*d*y**2 + 48*d + 4560*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -610806 by 203602.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 42*h**2 + 607*h + 456. Calculate d(12).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892718104.\nAnswer: 2, 111589763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31*(2898\/112)\/23*(156\/(-54))\/13.\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2 + 2*h**2 + 29 - 35*h + 25. Let z be g(16). Solve -4*d - 10 = z*x + 6, -d = 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -676 plus 161836586?\nAnswer: 161835910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*t**4*u - 1645954*t*u**2 + 2*u**2 + 27*u + 23 wrt t?\nAnswer: 8*t**3*u - 1645954*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 150742 divided by -667?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 - 31 = 6*a. Calculate the remainder when 34 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8856.49911749 + 8856.5. What is l rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -288 - -314. Suppose c = i*d - 21*d - 13, -2*c - 2*d = 2. What is the closest to c in -1, 0, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1133 - 659. Let o be p\/(-24)*-1*8. Let d = o + -1426\/9. Which is the nearest to 2\/3? (a) d (b) 2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*i = -30. Suppose i*m = -4*u + 7, 2*u - 4*m - m = -3. Which is the nearest to 1\/5? (a) -3 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 17*l + 19. Let p(z) = z - 24. Let q be 2\/(-4) + (-14)\/(-4) + 0. Let i be p(q). Does 8 divide w(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*r - 5*o, -r + 5*o - 7 = -5*r. Let m be 5\/(-10)*-4*29. Let i = m + -25. Calculate the greatest common factor of i and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 217826*g**2 - 6 - 217830*g**2 + 10 + 4*g**4 - g**3 + 2*g + 4 in the form w*g + z*g**2 + u*g**4 + j + o*g**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 + 6 + -2 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one fifths of a millennium?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m - 3*x = -17*m + 29, -2*m + 2*x + 18 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = -6, -2*n = 3*u + 60. Let l = u - -638. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 + -6)*5\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 315\/221 - 17\/13. Let z = -0.29 + -0.16. Let r = -2.55 + z. Which is the third smallest value? (a) h (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.14094 and 115150.\nAnswer: 115150.14094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 355328883 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-27) + (-850)\/153 + 13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/14 - (-259)\/49?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**2 + m**2 + 2*m**2 + (m**2 - 2*m**2 + 0*m**2)*(0 - 7 + 3) - 5*m**2 + 0*m**2 + 2*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-80) + (-21)\/(-4). Suppose -19 = -x + 3*p, p - c + 6 = -x. Solve 6 - 10 = x*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19566 is divided by 2778.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -91\nAnswer: 19\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1888 and 4736.\nAnswer: 279424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-31)*(-4)\/(-258). Let m = 21318\/6665 - d. What is w in -24\/5 - 2\/5*w**4 - m*w**3 - 46\/5*w**2 - 56\/5*w = 0?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -12*a**3 + 7*a**2 + 26*a + 236. Let o be k(-9). Calculate the greatest common factor of o and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2393994\/20628 - (-7)\/(-126)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 16, 2, -4.\nAnswer: -4, 2, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 1:21 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503183?\nAnswer: 17, 29599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((13 - 27)\/(-196))\/(4\/14). Let x(m) be the third derivative of u*m**4 + 0 + 0*m + 7*m**2 - 2\/3*m**3. Find the first derivative of x(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 3*b + 4. Let g be a(4). Suppose -2040000 = -g*u + 5*u. Round u to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -337170 + 507159. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30228677, -30228676, -30228675, -30228674, -30228673?\n\"Answer: l - 30228678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 1:36 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5504413543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -2*j - 105. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by -2611.\nAnswer: -51\/2611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35378 >= 35379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -286 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.14?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29972 - 19360. What are the prime factors of x?\nAnswer: 2, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6179 - -3767. Let o(k) = 749*k - 7. Let c be o(-5). Let y = c - i. What is y rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.8959 + -3.9. Let b = y + 0.0441. What is the second biggest value in -1\/3, 0.4, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + k)*(-k - 2 + 2) + (-2 + 242 + 25)*(-k + 2*k**2 + k).\nAnswer: 531*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b**(-5)*b))\/b))\/b**11)**(-1\/3)*(b*b**2*b*b\/(b\/(b*b**4*b)))\/(b**5\/(b\/b**4)) assuming b is positive.\nAnswer: b**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znzz. What is prob of picking 1 z and 1 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.92558 or 1\/4?\nAnswer: 0.92558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2644, 5292, 7938, 10582, 13224?\n\"Answer: -l**2 + 2651*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (20\/15 - 2). Which is the nearest to -0.1? (a) n (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7466 is divided by 1234.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w - 5. Let n(h) = 2*h - 8. Let c be n(7). Let v(f) = 3*f + 4. Suppose 3*q - 13 = -s, 9*q + 3*s = 4*q + 19. Give c*v(r) + q*u(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 19*z**2 - 61*z + 15. Let a(m) = 12*m + 93. Let u be a(-9). Let c be g(u). Calculate the highest common factor of 690 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 3*n**2 + 2*n + 1. Let c be i(-2). Solve 0*q - 4*q = -3*p + 26, -q + c = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.447 + -12.447. Which is the nearest to -1? (a) z (b) 652 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2181, -0.1, -0.5, 4, -6, 2 in decreasing order.\nAnswer: 4, 2, -0.1, -0.5, -6, -2181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/2*(-8 + 4). Suppose -2*l = -s - 4, 2*l - n = -4*s - s. Find the second derivative of -5*a**2 - 7*a**2 + s*a - 4*a + 4*a**2 wrt a.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccs when four letters picked without replacement from ccccsscssccs.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (5 - 7) + 2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1103 + 2?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (5 - (4 + 7)). Suppose r = p*k + 20 - 5, 0 = -5*r + k + 3. Solve 5 = -j, 1 = -s - j - r*j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/20*(18\/24)\/((-9)\/40). What is the fourth smallest value in -2\/3, 3, 54, f?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22830 + 23035. Calculate the greatest common factor of 451 and j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((205\/7 - 30)\/(6\/14)). What is the third smallest value in 12, j, 7, -0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -45, -52 in increasing order.\nAnswer: -52, -45, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 (base 7) in base 11?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(119)*-5)\/(sqrt(63)*2).\nAnswer: 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6374 is divided by 170?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*b - 6. Suppose 2*d + p - 115 = -b*p, -2*d = 5*p - 113. Let y = d - 41. Solve -5*n + 2 = -2*r + 4, -n = -5*r - y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 10*b**2 - b - 5. Let k(g) = 28*g**2 - 4*g - 15. Let l(c) = -8*f(c) + 3*k(c). Let d(p) = 4*p**2 - 3*p - 4. Give 4*d(r) - 3*l(r).\nAnswer: 4*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107 - -118. Let t(g) = -5*g - 11. Let z(q) = -8*q - 1. Let j(a) = -2 + 4 + 3*a + 4*a. Let c(o) = -5*j(o) - 4*z(o). What is r*c(v) - 6*t(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -23*c**2 - 179*c + 595. What is v(-11)?\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1364 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167355 divided by -3719.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 22 - 18, 3*w = k - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**2 + 52*n**3 + 3*n**2 - 7*n**2 + 3*n + n - 4. What is the units digit of y(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22101 (base 3) to base 10.\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 48. Let d be g(7). Let j be d\/((-7)\/42*5). What is the greatest common divisor of j and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429789.\nAnswer: 3, 143263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-8 - -1 - -3) + 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 41849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/10*68\/18. Let v = -4\/3 + h. Sort v, -2, 3.\nAnswer: -2, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b + 36. Let l = -2 + b. What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18272 and 155312?\nAnswer: 310624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 8. Let j be l(5). What is the hundreds digit of ((-87)\/j)\/((-1)\/446)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, q: 2}. What is prob of picking 1 q and 2 s?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 24208.954 to the nearest 10.\nAnswer: 24210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 520485 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2592\/7 + 370*j**2 + 144\/7*j**3 + 2\/7*j**4 - 144\/7*j = 0.\nAnswer: -36, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/(-20))\/(1\/(-145)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-1)\/t)\/t)\/(t\/((t\/(t\/(t**(-13)\/t)))\/t)))**(-23\/4))**37 assuming t is positive.\nAnswer: t**(7659\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (sqrt(7) + 1 + sqrt(7))*2).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*j + 20, 24 = 3*j + 2*j - 2*u. Let f(g) = g**3 + g**2 + g. Let r(m) = 5*m**3 + 7*m + 1. Let w(o) = j*f(o) - r(o). Determine w(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 55*q**4\/8 + q**3\/2 - 44*q**2 + 1. What are the prime factors of f(4)?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jyyjyyyyyyhyh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300507646.\nAnswer: 2, 150253823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 6*g**2 + g + 8. Let p be h(-6). Solve 5*l = -15, -p*r + r = l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512708500 rounded to the nearest one million?\nAnswer: 513000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2321, 2281, 2215, 2123, 2005?\n\"Answer: -13*w**2 - w + 2335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*a + 410 = 0, -5*j = 4*a - 9 - 419. Let n be ((-2)\/12 - (-266)\/j)*-1. Let f be -1 + (-9)\/n + 0. Let h(m) = -9*m + 2. Give h(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of (504\/3 + -4 + -5)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7890\/6)\/(2\/2). Suppose 4*y = 3*c + r, 0 = -2*c + 4*c - 6. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20403*j**3 + 233*j**2 + 34709633 wrt j?\nAnswer: 61209*j**2 + 466*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004927 rounded to seven decimal places?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 55, 68, 81, 94, 107, 120?\n\"Answer: 13*n + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + 16. Let a = o - 60. Calculate the least common multiple of 5 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.352993um?\nAnswer: 352.993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 + 1.7. Which is the second biggest value? (a) 2 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5518 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80\/13 + -227\/39. Let p(d) be the first derivative of 6*d**3 - 3\/2*d**4 - 2*d**5 + 0*d**2 + 8 - i*d**6 + 0*d. Factor p(b).\nAnswer: -2*b**2*(b - 1)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 0 - h**2 + 1 - 2 - 10*h - 1 - 26*h**4 + 4*h to the form y*h + z*h**4 + u*h**3 + i + r*h**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v - 5. Let z(r) = 8*r - r + 0*r - 5 - 4. Let b = -39 + 34. What is b*p(j) + 3*z(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 + 4 + 10*d**4 - 3*d**4 wrt d.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:39 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14880 divided by -413.\nAnswer: 14880\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-48)*4)\/((-2)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -0.5, -1\/3, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1712474ml?\nAnswer: 0.0001712474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*l = 12, -5*j - 5*l = 18 + 2. Let p be 66*(-1 + 4 + j). Let b be 288\/(p\/(-20) - 3). Round b to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1965*z + 3552 = -2113*z for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 1823 + 1838 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-12) - 62\/8. Let t(d) = -d**2 - 10*d - 10. Give t(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*p + 116*p = -32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5130 (base 9) to base 14\nAnswer: -1521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 89 + -542?\nAnswer: -4b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 109. Let t = 48 + d. Suppose -4*b + 20 = 0, -v - t*v + 160 = 5*b. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193 by 205367.\nAnswer: -193\/205367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1, -1492, -4, 4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 12:57 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 4:13 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxfkkyxxx. Give prob of picking 1 k and 2 x.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((7 - 1) + -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7046 - 864.\nAnswer: -863.2954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 3*l - 26, -g = l - 16 + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(8)*1) + sqrt(44)\/sqrt(4) + 4)**2 + -4 + (sqrt(99)*-2*3)\/(1*sqrt(9)*2).\nAnswer: 13*sqrt(11) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(96)*2*1)\/(1*sqrt(1728)*-4 - sqrt(1728) - sqrt(1728)))**2.\nAnswer: 811\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = -4*s + 3*g, 3 = -5*s + 4*g - 214. Let d be ((-4)\/(-12))\/((-3)\/s). Solve 4*z + 3 = -d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 76199000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdzdydzzddzzdyyzddyy. Give prob of sequence zyz.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 2. Calculate l(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = -a + 872. List the prime factors of a.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4 = 4*z, 0 = -20*z + 25*z + p - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.54 + 1.4?\nAnswer: -5.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4544*j + 2984.\nAnswer: 4544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 + 5*x**3 - 2*x**3 + (-2 + x**2 + 2)*(4*x - 3*x + 0*x) + 0*x**3 - x**3 + 2*x**3 - 16*x**3 - 5461 + 5461.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/1618 - -29175\/27506. Is 2 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-10 + 0) - (3 + -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 - 94*m - 97. Let l = 9753 + -9799. What is c(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1\/40 (c) 2\/9 (d) 0.090362 (e) -0.6 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 487 + 6*p**2 - 487 + 41*p - 5*p to t + g*p**2 + f*p and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22 - (3\/(-3) + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3433763?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -10473932\/697 smaller than -15028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 + 299. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 25 + 11. Let s be (-18)\/(-15)*(-4)\/6*-40. Suppose 0 = s*n - 45*n + 910. What is the remainder when n is divided by i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 76*w + 84. Let n(y) = 7*y**2. Determine n(z(k)).\nAnswer: 40432*k**2 + 89376*k + 49392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 65645160 to the nearest one hundred thousand.\nAnswer: 65600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*y**2 + 754*y**2 - 112*y**2)*(-1 - 2 + 1)*(y + 3*y - 6*y + 4*y - 2*y + 0*y + (0*y - 5*y + 3*y)*(0 - 4 + 6)).\nAnswer: 5224*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320177 is divided by 107?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*w + 67, 4*w + t + 3*t = 52. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*w - 4*s + 129, 174 = 4*w + 2*s. Suppose 5*x + w = -0*g - 4*g, -2*x - 20 = 2*g. Is 4 a factor of 4\/g + (-42)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(38 + 113 - 89)*(4*q + 0*q - 6*q)*(-2 + 4 + 1).\nAnswer: 1116*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 46.29125g?\nAnswer: 0.00004629125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 27. Suppose 0 = -5*t + h*b + 76, -t + b - 2*b = -8. Calculate the greatest common factor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092504 is divided by 11500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 + 0.16. Let l = -0.22 + g. What is the nearest to l in -1, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 973*c - 17993. What is d(-19)?\nAnswer: 855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(405)*-5)**2*-3.\nAnswer: -1093500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 299685 and 297.\nAnswer: 29668815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/18*(12*(-13)\/(-1716))\/(6\/(-33)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*a + 21*a - 90. Suppose -a*p = -8*p - 13636. Round p to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -5*w - 69*w - 293, 5*w = 4*f - 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18720 divided by 2340.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 251 - 249. Suppose 4*d - 87466 = -2*w, -m*w + w - 21874 = -d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1171\/903 + 112\/129. Which is the third smallest value? (a) -3 (b) o (c) -15.9 (d) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 4*b + 8. Let f = 457 - 451. What is the least common multiple of f and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*j - 16, -y = y + 5*j - 17. Let u = y - -2. Suppose u*d - 3*h = 5*d - 1, -7 = -3*d + h. Solve -s = -0*s - 5*p + 28, 0 = -s - d*p + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 9*q**2. Let u be l(9). Suppose u = 4*g - 0*g. Let d = 1\/65 - 269\/585. Are g and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 3329b6?\nAnswer: -3329b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-15) - 616\/(-120)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3045126.\nAnswer: 2, 3, 7, 72503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 38, 95, 178?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 14 = -2*g, 12 = 2*g + 3*b - 5*b. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-24 - (16 - 32)) + 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*j = -5*c - 197*j + 60, 6*c - 3*j + 0*j = 3*j - 2*j + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a hour in seconds?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (1 - 45\/39). Suppose 3*r - 4*m - 16 = 0, -2*m = -3*r + 8 - 0. Are r and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/(3\/9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 142*i - 141*i - 34. Calculate the remainder when 133 is divided by i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35437271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 8, r: 6, p: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**13\/m)\/m*m**14)\/(m*m\/(m\/(m*m**7*m*m*m))*m*m*(m*((m*m*m*m**10*m)\/m)\/m)\/m))**(-1\/13) assuming m is positive.\nAnswer: m**(1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4997309.31ns?\nAnswer: 0.000000008262746875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -78*v**2 - 91*v**2 + 171*v**2. Let r(q) = -3*q + 5. Let p(t) = t - 3 + t + 0*t. Let a(j) = -5*p(j) - 3*r(j). Give a(h(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(50)\/sqrt(5)))\/(sqrt(5) - (sqrt(5) - 2*sqrt(125)))*2.\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 132 and 19047?\nAnswer: 2514204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2878237 + 4?\nAnswer: -2878233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 61 + 29. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2 - 645*v + 38895. Give f(49).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-5 + -9939996 - -4). Round k to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5916.\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -3*(-4)\/6)*2. Suppose -3*t - 30 = -5*x, -4*t + 7*t = 4*x - 27. Suppose x*g + 10 = 5*g. Which is bigger: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 11 = -2*v + 2*z, 0 = -2*v - 2*z + 20. Suppose 286 = s + v*s. Solve -s = -5*k - 4*i, -18 = -k - 3*i - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 145 - 425. Suppose -2*v + 57 = 5*c, -5*c + b = 2*v - v. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197874204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 31*a**8\/336 - a**5\/3 + 88*a**2. Find the third derivative of n(k) wrt k.\nAnswer: 1860*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-413)\/(-5))\/((-1)\/(-10)). Let v = 819 + j. Factor 0*d**2 - 2\/9*d + 2\/9*d**v + 0.\nAnswer: 2*d*(d - 1)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37546 - ((-1)\/(-5) + 288\/(-40)).\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -5 (c) -93060 (d) -0.07 (e) 1\/11 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2*188\/(-423)*30\/16\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-seven halves of a kilogram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 69, 116, 163?\n\"Answer: 47*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1010.25 - -1014.25. Let l be 2\/(-11)*(0 - -3). What is the second biggest value in 2\/5, g, l, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + 4*g**2 + 4*g + 4. Let v be f(-2). Let r(q) = q**3 + 6*q**2 - 8. What are the prime factors of r(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485740110 to the power of 1\/4, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(1 + 0 + 0). Let j(a) = -w - 4*a + 3 - 6. Is 7 a factor of j(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from {z: 1, d: 1, w: 1, x: 3, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r**2 - 1 - r + 79*r**2 + 0*r**2 + r**2 + 106*r**2 to the form f*r**2 + p*r + y and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uumuquuuu. Give prob of sequence um.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 47. List the prime factors of r(21).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 p, 1 m, and 1 w when four letters picked without replacement from {w: 3, c: 5, m: 1, p: 1, f: 3}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20810000 rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -320228.02 to the nearest one hundred.\nAnswer: -320200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16\/10*110\/(-44)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23603, 23604, 23605, 23606, 23607, 23608?\n\"Answer: o + 23602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-103*(-8)\/64 - 13).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let f(s) = 11*s**2 - 5. Suppose 12 = -3*r + 2*i - 16, 4*i = 4*r + 40. Let h(w) = -17*w**2 + 8. Let m(x) = r*f(x) - 5*h(x). Calculate m(a(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2. Let w(g) = -15*g**2 - 729*g**2 + 146*g**2. Determine k(w(i)).\nAnswer: -357604*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.302973.\nAnswer: -0.605946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/(-7) + 16\/56. Suppose m*o = 22 + 38. Solve -7*p - o = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(136) + sqrt(136))*-6 - sqrt(136)*-3*1)\/((sqrt(200) - (sqrt(200) + sqrt(200)*-1*-1 + sqrt(200)))*-1).\nAnswer: 21*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034904076 a multiple of 1229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3311322 (base 4) in base 12?\nAnswer: 9136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 2)*(-5*x + 2*x + 7*x) + (2 - 2 - 1)*(8*x - x + 3*x).\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/(-2 + 12) - 19?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 8*d - 7. Let g be a(-9). Suppose g*u - 6*u = -12. Let v = -58 - -58. Solve -2*i - u*i - 3*s + 32 = v, -4*i + 2*s = -8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 0, -1 in increasing order.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86152*k - 86140*k + 161 = 17 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 103503*d + 6110177. Give x(-59).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48262 - 19511. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 86\/18 - (-4)\/18. Let h(w) = -2. Let g(m) = -86*m - 5 - m**2 + 43*m + 43*m. Determine j*h(t) - 2*g(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -5. Differentiate -p - 51*o**3 - 6*o**4 + 51*o**3 wrt o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -7 + -23)\/(6 - 9 - (-130)\/40).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*s**2 - 17*s**2 + 42*s - 13*s.\nAnswer: 7*s**2 + 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 8:09 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 38812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 247\/(-3)*(-147)\/637 - 39?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -1\/180*x**5 + 0*x + 1\/18*x**3 - 1\/360*x**6 + 0 - 3*x**2 + 1\/72*x**4. Factor c(g).\nAnswer: -(g - 1)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0708 and -60.\nAnswer: -60.0708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + n + 3*n**2 - 4*n)*(9 - 3 - 2 + (-4 + 1 + 1)*(4 - 3 - 3) + 0 + 3 - 4).\nAnswer: 21*n**2 - 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/20*-5*-1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((3 + 13)\/(-4))\/(-2). Suppose a - 6*a + d*g = -60, 5*g - 81 = -4*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 65\/3 (b) 15.7 (c) -1577\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 + 183*k - 183*k - 20*k**3 as h*k**2 + t*k**3 + w*k + b and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = i, -2*i - 2*i + 2*q + 16 = 0. What is the second derivative of 3*r**i - 5*r - 2*r + 24 - 24 wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 250412, 250153, 249894, 249635, 249376, 249117?\n\"Answer: -259*b + 250671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 3)\/(4\/12). Let b be (-40)\/(-30) - (-10)\/s. Let t(q) = -3*q**3 - q**2 + q + 4. Let h be t(b). Solve 2*g - 2 = 2*v - h, -30 = g - 5*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in months?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1606 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*u - 724*u + 230*u + 214*u.\nAnswer: -35*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttrttttttttttttt. Give prob of picking 4 t.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuufkffzkhuzhi. Give prob of picking 2 k and 1 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 12:41 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4545904 a multiple of 1012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(475)*1 - ((sqrt(133) - (sqrt(133) + -3*(sqrt(133) + sqrt(133)*1 + sqrt(133) - sqrt(133)))) + sqrt(133))\/sqrt(7))**2 + -5.\nAnswer: 20*sqrt(19) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by -2?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwtmwwt. What is prob of picking 2 t, 1 m, and 1 w?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.129839186 to 5 dps.\nAnswer: 0.12984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 961393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 3*x - 1. Let j(r) = 5*r**2 + 11*r + 3. Let v(b) = -9*a(b) - 2*j(b). Let m be (-768)\/320*(-20)\/3 + -9. Give v(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -15 + (-5 - 1) + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 3*b + 248. Let h be (-1)\/((8\/b)\/(-4)). Suppose 2*a = -3 + h. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1738850 + -1738847. Factor -11\/6*d**4 - 28\/3*d - 8\/3 - 43\/6*d**y - 73\/6*d**2 - 1\/6*d**5.\nAnswer: -(d + 1)**3*(d + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -15*o**3 + 4*o**2 + 3*o + 1. List the prime factors of h(-2).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4328*n + 377737 + 29095 = 0 for n.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -7*p + 5*p. Let g(w) = 6*w - 184. Let b be g(p). Is b <= -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/20 + (-1)\/(-5). Let m be 8\/(-18) - v\/(-3). Sort m, -4\/5, 3\/4 in increasing order.\nAnswer: -4\/5, m, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 140.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 2*v - 28*v**2 + 156 - 291.\nAnswer: -28*v**2 - 2*v - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 938, 891, 830, 749, 642, 503, 326?\n\"Answer: -g**3 - g**2 - 37*g + 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78069942 to the power of 1\/3, to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 439029401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012 (base 3) to base 16.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -190*w - 1980. Calculate l(-10).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21884 and 130.895047?\nAnswer: 21753.104953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60) + sqrt(240)\/sqrt(4))*-5)\/(-2*sqrt(245)))\/(-1*((sqrt(96)*-2 - sqrt(96)) + sqrt(96) - sqrt(96))*-6).\nAnswer: -5*sqrt(2)\/504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = -0*l. Let d(r) be the first derivative of 0*r**3 + 0*r**4 + 2*r - l - 1\/5*r**5 + 0*r**2. What is the derivative of d(n) wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6482, -12963, -19444, -25925, -32406, -38887?\n\"Answer: -6481*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-176)\/(-28) - 6) + (-30)\/7. List the prime factors of 232 + (s\/(-5))\/((-8)\/20).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - d**2 - d + 1. Let k(x) = -4*x**3 + 4*x**2 + 5*x - 273. Let z(y) = 5*c(y) + k(y). Let r be z(0). Is (r\/(-6))\/((-2)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - 5*m**3 + 3*m**3)*(-m + 2*m**2 + m) + 55*m**5 - 15*m**5 - 154*m**5 + (0*m**4 - 4*m**4 + 6*m**4)*(-6*m + m + 2*m).\nAnswer: -118*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -19. Let s = -22 + c. What is the nearest to -1 in s, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 0) + (-9 + 17 - (16 + 8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34354083?\nAnswer: 3, 1093, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -18 + -7 - (-474)\/48.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 0.3, 3022, 30, 1, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1688962901?\nAnswer: 43, 39278207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c3a97 (base 16) in base 4?\nAnswer: -23003222113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 218646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 (base 11) in base 3?\nAnswer: 200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -451 - -669. Is w a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -5*v**3\/3 + 4*v**2 - 5*v + 6. Let z(p) = -6*p**2 + 9*p - 6. Let y(d) = -3*k(d) + 2*z(d). Factor y(r).\nAnswer: 3*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -18721, -3 in decreasing order.\nAnswer: -2, -3, -18721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 17973*h**3 - 5 + 10775*h**3.\nAnswer: 28748*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 34789 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v**2 - v - 8. Calculate the remainder when 98 is divided by s(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 17*b - 7. Let d(f) be the first derivative of -9*f**2\/2 + 4*f + 1. Let w(o) = -267*o - 25903. Let n be w(-97). Give n*g(j) - 7*d(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2. Let y(x) = -19*x. Calculate y(o(l)).\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 + (-275)\/(-20) + -9. Suppose -6 + 3 = -3*z, 3*g - f*z - 1168 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 107.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from irifzraiirzf.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n - 20. Let j be g(7). Suppose x = 3*o - 5, 0*o = -4*o + x + j. Suppose o*y = y + 16. Solve -k - y = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 5 - 152 = 0. Let o = d + -21. Suppose o*b = b - 45. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -1\/2816, -1, 3\/5, 3 in decreasing order.\nAnswer: 3, 2, 3\/5, -1\/2816, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 422 + -251. Is 31 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83492122 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:14 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5 - 5270*g - 5264*g + 25*g**2 - 5272*g + 2097*g**6 + 15815*g wrt g?\nAnswer: 251640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84340065331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(7\/4))**29 assuming l is positive.\nAnswer: l**(203\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(1008\/(-75614))*-3. Which is smaller: 2700 or c?\nAnswer: 2700","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(-2\/15)*(p**(2\/5))**(-15) assuming p is positive.\nAnswer: p**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20662585.19 and 2.\nAnswer: 20662587.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -522773*o**2*w + o - 228483*w wrt o?\nAnswer: -1045546*o*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 57*j**3 - 6*j**2 + 12*j - 15. Let m(g) = 58*g**3 - 5*g**2 + 10*g - 11. What is -5*f(y) + 6*m(y)?\nAnswer: 63*y**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 9) + -1 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57960 and 39192.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/(-28))\/((-9)\/(-8)). Which is the closest to -2? (a) -0.5 (b) -0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2247, -4, 4 in descending order.\nAnswer: 4, -4, -2247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46789.12 years to decades.\nAnswer: 4678.912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-20) + 3528283\/(-86690)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607482091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*t - t - 537, -4*s = 5*t - 716. Suppose -s = -3*r - 17. Suppose 3*u - 15 = 0, 5*u - 60 + 7 = -2*l. What is the remainder when r is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k**2 + 1. Let i be (-7 + 92\/12)\/((-2)\/3). Let b be n(i). Find the common denominator of -97\/12 and (1\/b)\/((-8)\/252).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.46641 and 0.05.\nAnswer: 0.2233205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-1904)*2*-2. Let b = c + 251\/1547. What is the biggest value in -1\/4, -0.5, b, 1\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 25 - 1. Solve 2*x - r = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5523122, -5523115, -5523108, -5523101, -5523094, -5523087?\n\"Answer: 7*u - 5523129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-75)\/135*-3.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(3 - 2\/1). Suppose -2*h = 4, -2*n - j*h + 62 = 2*n. What is the highest common divisor of 45 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -161, -5\/3, -1\/3, 1\/8, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7893948 minus 42?\nAnswer: -7893990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-4))\/(((-5)\/(-20))\/((-14)\/(-56)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -524 - -522. What is the common denominator of 35\/4 and (2*z\/16)\/(6804\/1440)?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*w = -198*w - 465. Let n = -654\/7 - w. What is the common denominator of 50\/11 and n?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1400) - (sqrt(1400) - 1*sqrt(1400)*-1)))\/(sqrt(200)*-6 - (sqrt(8) + sqrt(8) + sqrt(800) + 4*sqrt(800))).\nAnswer: -15*sqrt(7)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 31*l**2 + 64*l + 119. What is x(-2)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*w - 14*w - 90. Calculate the smallest common multiple of 15 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*q**2 - 2*q + 54*q**2 - 24*q**2 to the form a*q**2 + v*q + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3980 is divided by 168.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 97, 109, 123?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -117*m + 124*m - 32. Calculate the lowest common multiple of 1844 and m.\nAnswer: 16596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 926155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -22?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9553441 to the power of 1\/2, to the nearest integer?\nAnswer: 3091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -58, -5, 1121 in increasing order.\nAnswer: -58, -5, 5, 1121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - x + 6. Let w be ((-1)\/(-2))\/((-18)\/12 - -1). Let k(i) = -i**2 + 1. Give w*k(c) - g(c).\nAnswer: 2*c**2 + c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14343 + 14819. Suppose 0 = 5*p - 155 - 2255. Suppose t - p = -5*m, 5*m + 4*t - t - s = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, 66, 3, -5, -4 in decreasing order.\nAnswer: 66, 3, 2, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -62?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/14*((-15)\/2 + 4). Suppose -3*j = 5*x - 128, 0*j + g*x + 146 = 3*j. Calculate the lowest common multiple of 14 and j.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -1 - sqrt(13))**2 + -5 + -5 + (sqrt(13) + sqrt(13)*2)**2)*5*-4.\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 877.654 centuries in millennia?\nAnswer: 87.7654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 296*q - 8. Let y be p(3). Suppose -8*c + 3*c = -y. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 5 (c) 1263 (d) 1 (e) 1\/3 (f) -4\/3 (g) -0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -885 (base 10) in base 9?\nAnswer: -1183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*21\/819*30.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1008) + (sqrt(1008) - 1*sqrt(1008))) + 6*(sqrt(1008) + -1))**2.\nAnswer: -1008*sqrt(7) + 49428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85528952 and 4100?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 4*r**2 + 2*r - 3. Suppose 23 = -f - 0*f - 5*z, -4*f + 13 = -z. List the prime factors of l(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**6\/120 + h**5\/20 - h**2\/2 - 3*h. Let z(r) be the first derivative of d(r). What is the third derivative of z(p) wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.614796437203 + -0.4.\nAnswer: 14.214796437203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*f - 5*n + 165 + 104 = -76, -3 = n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9*i = 114. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k + 5 = 0. Let a = -2 + k. Suppose -l - a = -4*l. Solve l = -5*h - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -11. Let c be (n - -6)\/((-1)\/(-5)). Suppose 0 = c*i + 4 - 44. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 39*a**2 - 2. Let u(z) = -28*z**2 - 3*z. What is u(w(s))?\nAnswer: -42588*s**4 + 4251*s**2 - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 55\/2 of a gram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 404, 0, 10 in descending order.\nAnswer: 404, 10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1489111658?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17686683*a**4 - 4*a**3 + 2*a**2 + 19881*a + 12 wrt a.\nAnswer: 424480392*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 40 = -4*m, m = 3*m - t - 20. Let j = -0.7492 - 0.2508. Which is the nearest to 0? (a) -5 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**4 - 3*j**2*m**2 + 1646*j**2 + 9926*m**2 wrt j.\nAnswer: -8*j**3 - 6*j*m**2 + 3292*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*p = -42. Let t(d) = -4 - p - 4 + 2*d**2 - 17 - 4*d. Is 18 a factor of t(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33142 = -2*q - 2*z, z - 94709 + 11870 = -5*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 160845*t - 80419*t - 80424*t - 16724 in the form y + o*t and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/242488 and 37\/18307844?\nAnswer: 36615688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*w + 11640 = 59*w. Round w to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/((-770)\/35))\/(3\/33)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = 5*h + 414. Which is the fifth biggest value? (a) 0 (b) 3 (c) h (d) -3.9 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 68 = 2*a, 0 = 2*v + 2*a - 3*a + 43. Let i be (-6)\/(-15) + v\/(-20). Sort 0, 1\/4, i in decreasing order.\nAnswer: i, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/6, -1.3, 237, 5, 0.5 in decreasing order.\nAnswer: 237, 5, 0.5, -1\/6, -0.2, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 97427?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-257 - -281) + (-48 - (-6 + 14 + -9))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6906 - -198.9.\nAnswer: 7104.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:30 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vddvvvdvz. Give prob of sequence vd.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -368 - -416. What is the smallest common multiple of 32 and u?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171 - 171 + 385*x**2 - 386*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*y - 176*y = 130. Suppose -2*m - m = -5*g - 97, -5*g + 4*m - 96 = 0. Let v(z) = z**2 + 21*z + 26. What is the remainder when y is divided by v(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17855148 rounded to the nearest ten thousand?\nAnswer: -17860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z + 1. Let v(a) = -8*a - 1. Let q(i) = 5*u(i) + 2*v(i). Let x(y) = -13*y - 8. Give 7*q(t) + 2*x(t).\nAnswer: 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/15*-3*1. Let l = 6 + j. Suppose -5 = -3*b + l*k + 1, -3*k + 10 = 5*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-1) - (18 + 0). Put r, 5, -1 in decreasing order.\nAnswer: 5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54204 divided by 13551\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7294 minus -374073?\nAnswer: 366779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*c = 4 + 8, b - 3*c = 9. Calculate the remainder when (b - 2) + (-105)\/(-7) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1187*g**4 - 10*g**3 + 2*g**2 - 46508?\nAnswer: -4748*g**3 - 30*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2568 = -343*x + 1548. Solve 28*h + 96 = x*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 294 - 14 = 0. Put -10, 5, y, 3 in descending order.\nAnswer: y, 5, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j = 22*j - 2537. Let z = j - 1794. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*u - 3*u**2 + 2089*u + 862*u - 1.\nAnswer: -3*u**2 + 3205*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6496030.5 - -1030237.5. Let i = x - 7526268.09100239. Let v = i + 0.091. Round v to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -366\/11 in 0.3, 0.05, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 19. Let v = -31.9 - p. Which is the nearest to v? (a) 2 (b) -2 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -136566 and 0.4?\nAnswer: 136566.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 4*s. Let q be r(-4). Let b(z) = -z**3 + z**2 + z + 20. Let l be b(q). Suppose 3*t - 2*v - 473 = 0, -3*v + l = v. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 3*s - 4*s)*(0*s**2 - s**2 + 0*s**2) - 25666*s**3 + 25044*s**3 + 103*s - 2 - 105*s in the form t + o*s**2 + b*s**3 + z*s and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 21183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Let d(t) = -t**3 - 11*t**2 - 30*t + 4. Let k be d(-6). Sort p, k, 2 in decreasing order.\nAnswer: k, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53.1 - -59.1. Put -2\/3, -0.5, 1, s in decreasing order.\nAnswer: s, 1, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -963 (base 10) in base 14?\nAnswer: -4cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -991868 + 533168. What is d rounded to the nearest 10000?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78780558 divided by 2.\nAnswer: 39390279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4 - -1) - (15 + -19 - -20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tlllcppppclccppplpc. Give prob of picking 1 l, 2 c, and 1 p.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 58*w - 59 = -55*w, 0 = 3*o + w - 54. What is the highest common divisor of o and 5610?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83919 + 41959 + 41962 - 846*g**2.\nAnswer: -846*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 3945033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -h + 349959, 60*h + y + 699874 = 62*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-344)\/(-40) - 11)*(-75)\/12\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32.2 + -36. Let t = d - -3.80000076. What is t rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2 = 6. Suppose -3*n - 3*t + l*t + 11 = 0, -5*n - 4*t = -23. Let f be (-2 - -11)*(0 + (-4)\/(-6)). Solve -f = -n*p + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 w when three letters picked without replacement from gnggw?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -5*c**3 + 5*c - 1\/4*c**4 + 7*c**2 - 12. Calculate the remainder when y(-16) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 23 + 1 + (0 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 983956*u - 2951832.\nAnswer: -4*(u - 245986)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 357, 374, 401, 444, 509, 602, 729, 896?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -36*g + 174. Let z(w) = -22*w + 107. Let m(h) = 8*c(h) - 13*z(h). Let r(q) = -q**2 - 3*q. Let k be r(-3). Give m(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = 9. Suppose -o + 8 - t = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/861516 and 125\/574344.\nAnswer: 1723032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 123.8033ng?\nAnswer: 0.0000001238033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o\/(o**(-19)*o)*o*o**(-1\/17)*o\/(o*o**11)*o\/(o*o\/o**(-23)) assuming o is positive.\nAnswer: o**(-222\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-2 + -5)**2 + 3.\nAnswer: 180*sqrt(2) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 13*j**2 + 13*j + 11. Give i(-14).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o - 117. Let g(s) = 11*s - 135. Let w(c) = -6*g(c) + 7*v(c). What is w(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/11)*p*(p**(2\/3)\/p)\/p*(p**1*p)\/p**(-2\/19) assuming p is positive.\nAnswer: p**(997\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26, 74, 122, 170?\n\"Answer: 48*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 - -105. Which is the nearest to 1? (a) -3\/2 (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pte when three letters picked without replacement from etpptetptt.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 22.6 (b) 2 (c) -2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k + 2. Let v(o) be the third derivative of -o**4\/24 + 5*o**2 + 357*o. Give 2*l(s) + 6*v(s).\nAnswer: 6*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 898702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s - 6. Let v be y(-3). Suppose 54 = 2*u + c, -c + v + 11 = u. Calculate the greatest common divisor of 70 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/4 of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/693 - ((-118773)\/4455 + 22)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 155*u**2 + 194*u**2 - 261*u**2 + 2*u**2 + 0*u + 0*u + 0*u**2 - u**2 + 2*u**2 + (0*u - u - u)*(0*u + u + 0*u) + 54*u - 54*u + 12*u**2.\nAnswer: 101*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 2:39 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*n**2 + 8992*n + 257158.\nAnswer: -26*n + 8992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + k, k + 0*k + 2 = -t. Suppose 3*l - 45 = -4*z + 3, 0 = -t*z - 2*l + 24. Suppose s + 3*s = 88. Calculate the remainder when s is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225746617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1033122023 (base 4) to base 16.\nAnswer: -4f68b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 86*s**2 + 9. Suppose -672 = 566*z - 734*z. Let q(v) = -43*v**2 - 4. Determine z*k(d) + 9*q(d).\nAnswer: -43*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/((n\/n**1*n*n)\/n))\/n)**(26\/3)*(n**(2\/7))**(-2\/21) assuming n is positive.\nAnswer: n**(-4\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 105 = -6*o + 3*o, -5*c - 140 = 5*o. Let y = 59 + c. Let j = 24 + -15. What is the remainder when y is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -1\/10, -2\/15, -2\/11, -1, -6?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 10*i**2 + i + 64. Let t be g(8). Let s be t\/21 + 4\/6. What is the smallest value in -5, -1, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 26 = 7*v. Let d = 9\/2 + -131\/30. Which is the closest to d? (a) 3 (b) -0.03 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: add070 (base 14) to base 4\nAnswer: 112203231022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**5\/10 - 5*z**4\/24 - 7*z**3\/3 - 7. Let t(v) be the third derivative of q(v). Is t(-4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15*(9\/2)\/(-3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32680 is divided by 82?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syksssussajsjsssjss. Give prob of picking 1 u and 1 a.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3549269481?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/4)\/(-9 + (-759)\/(-88)). Suppose -c + 3*p + 7 = 0, -1 - 9 = -2*c + u*p. Solve -c*r + 4*o - o - 21 = 0, -r - 2*o + 3 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2431, -4855, -7275, -9691, -12103, -14511, -16915?\n\"Answer: 2*d**2 - 2430*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.257 - -1.27. What is w rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780017 is divided by 129995?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2)\/(2\/(-8)). Suppose 58*n - 38*n - 60 = 0. Suppose u = -u + 10. Put u, n, b in decreasing order.\nAnswer: u, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 5*v + 37, 15*t - v + 88247 - 88393 = 2*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(-5 + 4)*-1. Solve -4*g + 2*q = 12, -12 = y*g + q - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 22.325. Let t = -0.025 - d. Which is the third smallest value? (a) -61 (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241100 (base 7) to base 2.\nAnswer: -1010101001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 242*q**5\/9 + 1540*q**4\/9 + 536*q**3\/9 + 16*q**2\/3.\nAnswer: 2*q**2*(q + 6)*(11*q + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2) - 2\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + f**2 - 2*f + 1. Let b be 8\/8*1*-2. Calculate the lowest common multiple of h(b) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2636315?\nAnswer: 5, 11, 47933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*-2 + sqrt(216))\/sqrt(9))\/(((sqrt(126) - (sqrt(126) + (sqrt(126) - sqrt(126)*-1)))\/sqrt(9))\/sqrt(7)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*b, -3*b = x - 0*b - 979. Suppose x = 5*r + 2*r. List the prime factors of r.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Let f = -18 - -17. Suppose 0 = -2*i - i. Sort i, k, f in ascending order.\nAnswer: f, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-10) - 54\/4. Let a = u - -16. Suppose d = a*d - 84. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105979*k**2 + 16*k + 4476.\nAnswer: 211958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 2*o + 1. Let l be i(2). Find the common denominator of 284\/24*-3*l and (-36)\/((8 - (-222)\/(-12)) + 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 16) to base 9.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (40 - 76) + -28 + 5 + 1 + 1 + -4\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-9)*-3)\/((-3)\/(-1005)). Is h*(-1 + -1)*(-2)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -4*c + 7156, 2*c + d + 1019 = 4597. Calculate the highest common divisor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - s - 2*s = 18, 4*p + 3 = -5*s. Let u = -6 - -11. Solve -2*o - 2*k = -5*k - 11, -p*o = -u*k - 18 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822 is divided by 424.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ffe + 1b?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**7\/120 + z**6\/48 + z**5\/20 + 37*z**4\/12 + z**2\/2 + 14*z - 1. Let f(a) be the third derivative of d(a). Factor f(x).\nAnswer: -3*(x - 1)*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/9)\/1)\/((-2)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*a - 63149 = -59494 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62? (a) 3 (b) 1 (c) 108 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = 16. Let j be 3 + r\/4 - (1 - 1). Factor -15*u + 0*u**3 - 6 + 0*u**3 + 3*u**3 - j*u**3 - 12*u**2.\nAnswer: -3*(u + 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkk when three letters picked without replacement from kkkkkkkkkkkmgkk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5 = -2*q, -3*q - 21 = -i + 2*q. Suppose 5 = 2*v - i. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 159 + -93. Calculate the highest common factor of b and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107949*r - 4495 + 107949*r + 2*r**3 - 900.\nAnswer: 2*r**3 - 5395","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.382, -22, 22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -85719270 rounded to the nearest one hundred thousand?\nAnswer: -85700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*c = -204*c - 5820. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -10, -10, -6, 2, 14, 30?\n\"Answer: 2*f**2 - 10*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:24 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-2 - (-15)\/6). Suppose 4*s + 2 = 26. Solve -d + j = -m, d - s = m + m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 484349, 968673, 1453007, 1937357, 2421729, 2906129?\n\"Answer: c**3 - c**2 + 484320*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1958*t - 4016*t + 41160 = 0 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -a7 (base 16) to base 11\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -11*g**4\/4 - 22*g - 14. Let s(h) = 20*h**2. Calculate p(s(x)).\nAnswer: -13200*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 + 8)*(0 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 7*y**2 - 3*y + 39. Let f be b(-5). Solve -3*v + w = 0, -2*v - f*w + 13 = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 1\/9*x**3 - 1\/45*x**5 + 1\/18*x**2 - 1\/36*x**4 + 74 - 2\/9*x. Factor j(t).\nAnswer: -(t - 1)**2*(t + 1)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10479926*c**4 - 119386*c**2 + 6*c wrt c.\nAnswer: 251518224*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 7*f + 9. Let n be h(6). Let q be 180\/80 + -2 + 11\/4. Suppose 2*y = q*y - 2*a - 90, 4*a - 260 = -n*y. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6954\/4636)\/((-3)\/(-26)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2007700 to the nearest ten thousand.\nAnswer: 2010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149\/6 + -25. Let o be ((-408)\/306)\/((-4)\/(-15)). What is the second biggest value in -25, q, -2\/3, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*x**2 - 131*x + 115*x**2 - 12*x**2 + 43*x**2 wrt x.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 0 = 4*i + 7 - 21, 0 = -3*i + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -197\/6. Which is the nearest to z? (a) -4 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 - 13 + 14)*(0 - 5 - 3)*(3*f + 2*f - 3*f) as a*f + u and give a.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*p - 447 + 1139 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/72 and 55\/176013216?\nAnswer: 176013216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -9*g - 1. Let o(x) = 6*x + 1. Let s(c) = -5*d(c) - 7*o(c). Let k = -87 - -84. What is s(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-7) - (-207)\/(-63)) + 28. Suppose -38 = -7*r + z. Calculate the remainder when 26 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -13*x - 23. What is the units digit of a(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-4))\/(-4)*(-24)\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000192837 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 6*(sqrt(2) + (sqrt(2) - (sqrt(10)\/sqrt(5) - sqrt(2))) + sqrt(2)) - (-4 + sqrt(18)))**2.\nAnswer: 128*sqrt(2) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 4\/21 (c) 46 (d) 1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -17*(-1)\/(-2) - 15\/(-10). Let w(v) = 5*v**2 + 5*v - 16. What are the prime factors of w(p)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1565345688 take away 73?\nAnswer: 1565345615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 2 - 2. Let c = 25\/306 + 1\/34. Which is bigger: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10*j + 4. Suppose 3*h = -x - 10, 3*x + 5*h = -9 - 1. Does 9 divide v(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 2)*(96*l + 1414*l + 1323*l) to r*l + d and give r.\nAnswer: -5666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 3 - (0 - 2). Let h be -1 + 1 + (1 - r). Suppose -2*z - 22 = -t, -2*t + h*z = 2*z - 29. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2634821 to the power of 1\/2, to the nearest integer?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 2. Calculate n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 4:59 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -264 and -12.6053.\nAnswer: 3327.7992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88348 and 82238?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 7:23 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6779.668839762 + 1.8.\nAnswer: 6781.468839762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s. Suppose 4*h - 8 = 4. Suppose 0 = h*z + 4*u - 5, 2*z + 2*u = 1 + 3. Solve s = -z*f + q - 7, 4 = -f + 2*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(6\/9) - -3. Suppose 0 = -g*j - 2*j + 4. Suppose -c = -j*c + 16. Calculate the remainder when 30 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2229 and 113\/24?\nAnswer: 17832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 7 - 1. Let p(r) = -r**3 - 5*r**2 - 5*r - 1. Let n(m) = 4*m**2 + 4*m. Let y(q) = h*n(q) + 2*p(q). Suppose y(w) = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (17 - (-28 + 33)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 - 2*u**2 - 2*u - 5 + 7*u**2. Let n be 66\/17 + 2\/17. What is the remainder when 54 is divided by z(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 43, 31, 17, 1, -17, -37?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148042 = 2*p - 151632. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1324 = 114*h + 298 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3248 is divided by 74?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75*z**5 - 52*z**5 - 71*z**5 + (2 + 0 - 1)*(-2*z**5 - z**3 + z**3).\nAnswer: -200*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13673 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -2\/287 (c) -150 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -244 - -246. Let o = -4 + 7. Let d(u) = c*u**3 - 5 - 3*u**3 + 2*u**2 - o*u - 7*u**2. Calculate d(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 266008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109765 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)\/((z*z**(5\/3)*z)\/z))\/((z\/(z\/z**(5\/4)))\/(z\/(z\/z**4))) assuming z is positive.\nAnswer: z**(-47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 0, 83*a - 79*a - 21 = -3*z. Calculate the smallest common multiple of 1725 and z.\nAnswer: 12075","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - -30?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103.3 + 30.3. Let u = q + 69. What is the fourth biggest value in 3, -2, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 11, f: 5}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 205 - 122. What are the prime factors of u?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w**2 - 20*w**2 - 4 - 10230*w + 4.\nAnswer: -2*w**2 - 10230*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 0 - (-54)\/(-3). What is the remainder when 27 is divided by -2 - -2 - (y - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 7, 77839?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.98 + 0.02. Let f = 7 - b. Let n = -15.6 - -16. What is the smallest value in n, -3\/4, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 91 = -g + 81, 43 = -5*t - 4*g. Sort -1, 5, 107, t.\nAnswer: t, -1, 5, 107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*p - 1237 + 6319 = 226*p - 261*p for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by 3287\nAnswer: -144\/3287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 111\/12 - 12\/(-2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**5\/20 + 2*n**4\/3 + n**3\/3 - n**2\/2 + 3*n. Is l(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45593148595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1872) + -1 + sqrt(1872))*-3 - (0 + sqrt(1872))*-1*-1.\nAnswer: -372*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1.2. Suppose -b - 67 = -13. Let n be ((-57)\/b + -1)*-4. Are z and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6004\/(-1027) - -60) + (-2)\/(-52)*-4.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a - 1937 - 2935 = 0. Let o = 1886 - a. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 3.1 (c) 0.4 (d) -3\/8 (e) -2 (f) -4277\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - i**2 + 3*i + 2. Let h(r) = -r**3 + r**2 + r - 3. Let p(f) = -4*f**3 + 3*f**2 + 4*f - 10. Let w(l) = 7*h(l) - 2*p(l). Determine d(a) + w(a).\nAnswer: 2*a**3 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 2*c**2 + c. Let q be j(2). Let k be 48\/q*15\/6. Solve -3*o + k = -0*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)\/(i\/(((i*i**23*i)\/i)\/i)))**(-7\/4) assuming i is positive.\nAnswer: i**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + v = -226, -5*u + 356 = v - 202. Let r be ((-10)\/(-4) - 1)\/(84\/u). Solve m - 1 = -h, -m = -r*m + 2*h + 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -13.5. What is the closest to 1 in 17, 4\/7, v?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(15)\/sqrt(5) + 3 - -6*(sqrt(3) - sqrt(75)*3))**2.\nAnswer: -516*sqrt(3) + 22197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34086.\nAnswer: 2, 3, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42694722 a multiple of 1165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -70\/3, 154, -1, 2, 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1775117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1\/4, 1\/2, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 29 = -101. Suppose 0 = 2*s - 4*u - 1236 - 242, 0 = -4*u + f. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*(4*(sqrt(2299)*-1 - sqrt(2299)) + sqrt(2299) + (-1 + sqrt(2299))*-5 - (0 + sqrt(2299) + 0 + sqrt(2299))**2*4).\nAnswer: 2112*sqrt(19) + 588464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 times -1.05?\nAnswer: -0.2415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*t**3 + 8*t**3 - 258*t**3 - 66*t**3 - 386*t**3.\nAnswer: -764*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 177395116.5us in weeks?\nAnswer: 0.00029331203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 3154, -209.2, 5, 2\/9?\nAnswer: 3154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36190573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*u - 66213 = -18597 for u.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 2. Let k be 0 - -3 - (-1)\/1. Give i(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26709 and -2266.\nAnswer: 60522594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -82*t**2 + 469*t + 1403. Let y be o(-3). Which is bigger: 5 or y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 218325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4286, 8424, 12444, 16352, 20154, 23856, 27464?\nAnswer: 30984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -164*r - 1058. What is the tens digit of z(-33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347 + 2*f**2 - 108 + 200 + 33.\nAnswer: 2*f**2 + 472","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 57 - 57)*(-2*u + 2*u - u) + 0*u**2 - 3*u**2 + 2*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 8*h**2 + 10*h + 13. Let s be c(-9). Solve n = s*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - 14*x**3 - 7*x**3 + 15*x**3)*(-94 - 13 - 12) in the form z*x**2 + s*x**3 + u + j*x and give s.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7345889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + f + 1. Let g be l(-2). Suppose -a + g*d + 69 = 0, -a + d = -4*d - 69. Let c = 4502 - 4477. What is the remainder when a is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -3318?\nAnswer: 3318.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108758 is divided by 36239?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.110825 to one decimal place.\nAnswer: 80.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3911183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 8*v + 11*v - 13, 11 = 5*p + v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-4)\/(-1 - 3)). Let a be (-2 + 2 - -2) + b. Suppose 5 - a = q. Solve 2*n = 0, -q*n = 3*o + 6 - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 25. Let u(d) = -d**3 + 3*d**2 + 2*d + 4. Calculate u(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 13 = 3*x, 3*z - 54*x - 15 = -51*x. Let h(y) be the first derivative of -11 + 44\/3*y**3 - 32*y - 3*y**4 + 12*y**z. Solve h(g) = 0.\nAnswer: -1, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u = -y - 15, -5*u + 35 = -5*y. Suppose 0 = 4*n - u*n - 4*j - 120, 3*n + 3*j - 135 = 0. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 4*j**3 + 0*j**3 + 7*j**3 - 13*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**(-2\/5)*s*s)))**(-3\/8)*(s*s*s*s*s**(-5)*s)\/(s**(-1)\/s))**(-32) assuming s is positive.\nAnswer: s**(-224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11616*k - k**2 - 11616*k.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -16*c**2 - 3*c - 3. Let m(d) be the second derivative of -481*d**4\/12 - 91*d**3\/6 - 91*d**2\/2 + 3149*d. Give 3*m(w) - 91*z(w).\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1420 and -145\/2147466?\nAnswer: 21474660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 8*p - 31. Let f be z(-3). Solve -u - f - 2 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*b**(-1\/7)*b**9*b*b*b**(-11))**(-20) assuming b is positive.\nAnswer: b**(1000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 28, 31, 34, 37, 40?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u**3 - 5*u**2 - 5*u + 5. Let w = -217 - -222. Let b(q) = 4*q**3 + 6*q**2 + 6*q - 6. What is w*b(y) + 6*m(y)?\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4 - 4. Let y(m) = -4*m + 2. What is the remainder when y(-3) is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/15 - (-84)\/20. Let z = 17 - o. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i**3 + 5*i**2 - i - 9. Let j(m) = -5*m**3 + 3*m**2 - m - 5. What is -5*j(n) + 3*x(n)?\nAnswer: -2*n**3 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13850 + 23762. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31211539, -62423075, -93634609, -124846141, -156057671, -187269199?\n\"Answer: s**2 - 31211539*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**3 - 34751*a + 83774 wrt a.\nAnswer: 12*a**2 - 34751","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(931)*1 + (sqrt(931) - (-3 + sqrt(931) + -1)))*6 + 5 + 6*(sqrt(931) + 1) + -3)**2.\nAnswer: 18816*sqrt(19) + 1643308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 8*u**2 - 34*u + 9. Let j be k(11). Which is bigger: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(170)*-5 + (sqrt(170) + sqrt(170)*1)*1)\/((sqrt(250) + -2*sqrt(250))*-2))**2.\nAnswer: -612\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216614195 divided by 14791.\nAnswer: -14645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 4*d + 1. Let h be m(1). What is the first derivative of 0*b**3 + b**3 - 21 - 2 + h*b**3 wrt b?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 9*s. Let q be a(7). Suppose 0 = -5*x - 10 + q. Suppose f - x*f = -40. What is the least common multiple of f and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/14 (b) 1\/9 (c) -23 (d) 593\/5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 3*o + 4. Let y(t) = -t + 2. Let u(c) = 2*l(c) - 5*y(c). Is 17 a factor of u(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6110616 and -6110614 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22632821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 190*i - 43 - 35 + 113 to the form y + q*i and give q.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 89\/2 of a gram?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1338)\/3122 + (-51)\/(-21). Factor -138\/5*w - 72\/5*w**k - 68\/5 - 2\/5*w**3.\nAnswer: -2*(w + 1)**2*(w + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -17*s + 73. Let p be c(-1). Solve -p + 106 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + (2 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (-30 - (-3 - -5)). Let p = s - 25. Suppose -o = p*o, 2*z = -2*o + 132. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 - -58. Let g(f) = -5*f + 3*f + p*f. Let a(h) = h - 4 - 5 + 7. Give a(g(j)).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 p when three letters picked without replacement from ppippppiiikk.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*m = -5, -2*m + 6*m = -z - 1. Let j(l) = -4*l**3 + l**2 + 2*l + 1. Let v be j(z). Solve 30 = -4*q + 5*t, -2*q + 4*t + 2 = -v*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-490)\/255)\/(65\/((-3510)\/126))?\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52, -6, 168, 536, 1164, 2118, 3464?\n\"Answer: 11*x**3 - 2*x**2 - 25*x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -861880*q**4 + 1374873.\nAnswer: -3447520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/((-75)\/9) + (-12)\/20. Suppose c = -9*y + 6*y + 840. Let n = 392 - y. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-1) - (-51 - -43). Let o be (-24)\/10 + 3 + (3 - a). Is o smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a decade in years?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8111\/39 + -208. Which is smaller: -4 or a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6741, -6725, -6701, -6669?\n\"Answer: 4*c**2 + 4*c - 6749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 6*z - 2877 + 1440 + 1437.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3139)\/(-73))\/(-43) + 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.1233047 nanograms?\nAnswer: 0.0001233047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014 - 39105 + 15 = -1114*t for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1298*s - 1562*s + 166662 = -1087*s for s.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**5\/60 + 11*q**4\/24 - q**3 - 36*q**2. What is l(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 5*x - 35, 2293037*a - 2293035*a - 5*x = 32 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**3\/4 - 11013*n**2 - 2237157*n - 4430268 = 0. What is n?\nAnswer: -14478, -204, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -684.31 - -919966?\nAnswer: 919281.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7100 and 264901.\nAnswer: 26490100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*r - 0*r. What is the hundreds digit of (-545)\/15*-3 + (4 - r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -897853 + -2302147. Round i to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -0.1, 4, -4, -0.01, -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -23*f + 3*f**2 + f**2 + 5 - 3*f**2 + 10*f. Let q be h(5). Let z = q + 179\/5. Is z > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000230200688 to 7 dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t. Let m(c) be the first derivative of -80*c**2 + 780. Give m(b(q)).\nAnswer: -640*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.989029 + -15.99. Round q to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/3218704 and -17\/8851436.\nAnswer: 35405744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-635)\/(-7) - (-4)\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**5 - 1 + 4*w**5 - w**5)*(3 + 131 - 15).\nAnswer: 238*w**5 - 119","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/7)\/(2\/7). Factor -7*x**2 + 2 + 3*x**2 + k*x**2 + 3*x**2 - 4*x.\nAnswer: 2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 6789.\nAnswer: 2036.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5508817\/84 + 65580. Calculate the common denominator of 87\/40 and k.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 279, 276, 273, 270, 267?\n\"Answer: -3*l + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -131*h + 406. Let z be a(3). Does 7 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n*s*u**3 + 16*n*s*u**2 - 5*n*s - 13*s*u**3 wrt u.\nAnswer: -6*n*s - 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 4 - 80421*w - 19.\nAnswer: -80421*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.68 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.04 and 76.\nAnswer: 307.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 28 + 292 = 4*c, -2*c + g = -123. What is the highest common factor of c and 441?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 5*c + 4. Let i be z(4). Suppose i = 4*w + 2*w. Find the third derivative of 44*m**2 + w + 5*m**3 + 0 - 18*m**3 wrt m.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 12:30 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -0.6. Let k = t + 0.7. Let l = 0.2 - 0.2. What is the nearest to l in -2, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -1, 1, -8, -30.\nAnswer: -30, -8, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -16*y - 2. Let a(f) = 18*f + 1561. Let k be a(-87). Calculate s(k).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712372 is divided by 711648.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/16 and 61\/4110.\nAnswer: 32880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*u + 81*u = -v - 11, 3*v + 31 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 51. What is the biggest value in d, 2, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -x - 2*i, x = -i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5\/13 - 30*j**4\/13 - 116*j**3\/13 + 36*j**2\/13 + 406*j\/13 - 294\/13 = 0. Calculate j.\nAnswer: -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 15\/19, -5\/108, -1\/9?\nAnswer: -5\/108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-2)\/(-8))\/(-3*(-6)\/(-36)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -428 divided by 18?\nAnswer: -214\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10292? (a) -4\/7 (b) 1\/7 (c) 2\/7 (d) -40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -382*d**2*j + 2*d**2 + 3322*d*j wrt d.\nAnswer: -764*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -121. Let v be (-22)\/(-55) + (-1046)\/d*463. Let f = -6062 + v. What is the common denominator of f and -11\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -21*y**2 + 16*y + 11. Let k(z) = 96*z**2 - 73*z - 51. Let g(a) = -23*c(a) - 5*k(a). Let m(o) = -13*o**2 + 12*o - 8. What is 18*g(v) + 4*m(v)?\nAnswer: 2*v**2 - 6*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/3 - 194*p**2 + 1520*p - 9056\/3 = 0. Calculate p.\nAnswer: 4, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/(40\/(-4)))\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 3*l - 228 = 0. Let s be ((-15)\/(-3) + l)*114\/(-7). Let r = 128 - -157. Calculate the highest common divisor of s and r.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.992798 + 2.999. What is b rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19232.7 to the nearest 100.\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 383350 + -175301. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 55245?\nAnswer: 220980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9012, 18101, 27270, 36525, 45872, 55317, 64866?\nAnswer: 74525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379068 is divided by 126349.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111010110000011 (base 2) in base 5?\nAnswer: 22201143","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (0 + 2) - -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/9 - 158*i**2\/9 + 3040*i\/9 + 3200\/9.\nAnswer: 2*(i - 40)**2*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3*b + 459, -b - 109 = -102. What is the highest common divisor of 696 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.283, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/2)\/n**11)\/(n**(2\/7))**(-1\/8))**(-7\/13) assuming n is positive.\nAnswer: n**(349\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9595 + -37 + 24 + -1. What is the greatest common divisor of n and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*d**2 - 344 + 344.\nAnswer: 35*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/35 - 398\/(-430). Let w = -789\/86 - k. Calculate the common denominator of 4\/(48\/(-189))*2\/(-24) and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - 251.\nAnswer: -250.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/3241 and 89\/34175882.\nAnswer: 239231174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/9 + (-118)\/(-6). Suppose -46*x + 244 = -32. Calculate the common denominator of -99\/4 and ((-112)\/k)\/(x\/20*1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y - y + 0*y)*(y - 4*y + 2*y) + 4*y**2 + y**2 + y**2 + (2*y - 4*y + 0*y)*(-y + y - y) + 3*y**2 + 0*y**2 - y**2 to n*y**2 + q + z*y and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 188299318 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 5 + (1 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -18 + 1 - (-8 - -31 - 4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3362324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 306197904 to the nearest integer?\nAnswer: 17499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 21. Suppose 6*i - i = t. Solve -w = -4*s - 18, -4*w + 8*s - 5*s + 7 = i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 + 5*c - 14. Let u(n) = -2*n**2 - 5*n + 14. Let l(t) = 5*u(t) + 4*y(t). Let h be l(6). Suppose h + 734 = 2*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/60 and -83\/77892.\nAnswer: 389460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Let h(s) = -s - 3*s - r*s + 3*s. Let m(i) = 2*i - 3. Let p(v) = 11*v - 17. Let w(l) = 34*m(l) - 6*p(l). Calculate h(w(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5 = -3*a + j, 0 = 5*a - 48*j + 50*j + 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 >= 276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27, -165, -477, -903, -1437, -2073?\n\"Answer: j**3 - 66*j**2 - j + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 11*n - 7. Determine g(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1132928 divided by -106\nAnswer: 10688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5358424 to the nearest integer?\nAnswer: 2315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -10 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110056 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-20) + 360\/225)\/(5\/(250\/(-15)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(147) + -2 + 3 - ((sqrt(588) + -5)*5 - sqrt(588))**2.\nAnswer: -10032 + 2835*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175028853?\nAnswer: 3, 1297, 44983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10959 - 3051. What are the prime factors of p?\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4\/3 - 1306*b**3\/3 + 8660*b**2 + 31740672*b + 190039104 = 0. What is b?\nAnswer: -444, -6, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 5\/3, -3\/8, -3\/11.\nAnswer: -3\/8, -3\/11, 0.06, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 3*k + 14. Suppose -10*a = k*a - 125. Solve -2*f + 17 = -3*x - 0*x, a*x - f + 19 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1501.484959 to the nearest integer.\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 63\/(-147) - (-465)\/7. Calculate the highest common factor of o and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/214 - (-4717130)\/248026?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529844676 to the power of 1\/3, to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Suppose -y = y - g. Calculate the remainder when (156\/(-8))\/(y\/(-4)) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -71*t - 424. Let q be y(-6). Factor i**4 + 9\/2*i**q + 1\/2 - 7\/2*i**3 - 5\/2*i.\nAnswer: (i - 1)**3*(2*i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrv when three letters picked without replacement from rvrvrvvv.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -165555 - -21043?\nAnswer: -144512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 1121\/12*i**4 - 23\/6*i**5 - 47*i**2 - 361\/3*i**3 + 0 + 0*i + 1\/20*i**6. Factor f(x).\nAnswer: 2*(x - 19)**2*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 7459039?\nAnswer: 7459038.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20158 is divided by 1342?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/3 - 68*p**3\/3 - 517*p**2\/3 - 616*p\/3 + 400.\nAnswer: (p - 75)*(p - 1)*(p + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173218 and 2570.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 3}. What is prob of picking 1 x and 1 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1007868, -1007870, -1007872?\nAnswer: -1007874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 2*y**2 + 7*y - 1. Let k(q) = -q + 2. Let x be k(6). Let s be j(x). Suppose 0 = -s*w + 6*w - 312. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 4*y - 7. Let i be n(5). Let g be i + 29601\/(-8) - 0. Let m = -3708 - g. Find the common denominator of m and -51\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((120\/20)\/42)\/((-2)\/(-6))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -263*a**3\/3 + 154*a - 41. Find the first derivative of j(k) wrt k.\nAnswer: -526*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 210222 - 355?\nAnswer: 205423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*v - 212*v = -28. Calculate the highest common divisor of 84 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 539545?\nAnswer: 4855905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19593118 divided by 3?\nAnswer: 19593118\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 1:01 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2168349524 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 24. Give f(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 10*h + 6293. Let d be r(-77). What is the greatest common factor of 126 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4)*b)\/b**(-2\/11))\/(b\/b**(-2\/3))**(-31) assuming b is positive.\nAnswer: b**(1612\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450000 rounded to the nearest 10000?\nAnswer: 1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6693)\/(-12) + 4*1\/16. Suppose 0 = 2*z, 3*p + 0*p + 4*z = t. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 568343 and 1052.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - b - 6 = -5*b, 4*t + 15 = b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -16336*m - 8. Let c be 11\/6 + (-1)\/(-6). Let w(j) = -3*j + 3. Let a be w(c). Let y be v(a). Round y to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -52222013 and 1.\nAnswer: -52222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.4 and 1.01?\nAnswer: -4.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 36 (b) -1\/2 (c) 1.5 (d) -1\/6 (e) -5\/6 (f) -39 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-9)*z**(-2\/37)\/z)\/(z**3\/((z*z**4)\/z)))**(-5))**(-7\/4) assuming z is positive.\nAnswer: z**(-5215\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -5.8567?\nAnswer: -1.17134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 + 85. Put 0.3, 3, i in descending order.\nAnswer: 3, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + -2*sqrt(209) + sqrt(209))*4)\/(sqrt(44)\/(sqrt(4)*-1)) + 4 + (2 + sqrt(1539)*-2 + (sqrt(1539) + 1)*-1)**2.\nAnswer: -54*sqrt(19) + 13856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 24. Suppose -18 = -s*g - 3. Differentiate r**4 - g*r**4 + 19 - 8 wrt r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002025 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193883?\nAnswer: 193883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d555 + -5?\nAnswer: 4d550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 9:15 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*n + 144038 = -10*n, r + 4*n - 36020 = 0. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-9 - -7 - -10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y - 9*y + 3*y + (-1 + y + 1)*(-2 + 5 - 2) - y + 3*y + 0*y - 5 + 2*y + 5 - 141 + 14*y + 141.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-14))\/(10852\/56973).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 367 - 364. Suppose 3*k - 303 = z*y, -6 = 4*y - 6*y. Is k > 104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4350)\/348*(-9)\/(-4)*-4*(-2)\/3.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33417416369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**2\/3 + 14590*u - 159651075 = 0.\nAnswer: 21885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13708499 divided by -1958357?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12201, -24401, -36601, -48801, -61001, -73201?\nAnswer: -85401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4590.5652 less than -244.404?\nAnswer: 4346.1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 31?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24120522.\nAnswer: 2, 3, 37, 36217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + -5 + 5 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4136 and 137262466?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**8\/112 + s**7\/70 + s**6\/40 - s**5\/20 + 8*s**2. Determine t, given that b(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5*h - 5 = 6, -n = 4*h - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1925, 4, -50?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_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: Calculate the least common multiple of 99632 and 172.\nAnswer: 4284176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 60*q**4 - 5 + 2*q + 2000*q**2 - 1600\/3*q**3 + 1\/15*q**6 - 16\/5*q**5. Factor k(g).\nAnswer: 2*(g - 10)**3*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -65, -208, -497, -980?\nAnswer: -1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 56*c**3 + 14*c**2. Let h(k) = 19*k**3 + 5*k**2. Let o(z) = 7*h(z) - 2*p(z). Find the third derivative of o(w) wrt w.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, p: 2}. Give prob of sequence gp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56284 + 13958459\/248. Let m = l - -1\/62. Is m at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7236876.\nAnswer: 2, 3, 283, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4112780 times 11\nAnswer: 45240580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19.0329l?\nAnswer: 19032.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2. Let s(v) = -37*v - 500. Calculate t(s(p)).\nAnswer: 4107*p**2 + 111000*p + 750000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-20)*60\/8. Let q be 12\/10*10\/a. List the prime factors of q\/(-15) + (-3184)\/(-30).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*b - 8, -4*k - 6 = -4*b + 14. Let o be k\/1*(-5 - -1)\/4. Let h be o - (2\/12 + (-518)\/(-252)). Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5\/2, 135.8 in decreasing order.\nAnswer: 135.8, 11, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 235*x + 903 - 662*x - 902 in the form p + b*x and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3747518 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 15 (c) -2\/19 (d) 3\/7 (e) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 7*r + 2*r)*(3 + 3 - 1)*(-3 + 1 + 1).\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 3*v + v)*(10*v - 5 - 22*v + 11*v).\nAnswer: -5*v**2 - 25*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*t**3 - 2*t**2 - 15*t**3 + 18*t**2 in the form s + w*t + l*t**3 + o*t**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 - -2 - ((31 - 25) + 4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)*-4 - (sqrt(120)\/sqrt(6))**2.\nAnswer: -24*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/63*6\/(-4). Let p = -8 - -2. Let u be 9\/p + (1 - 0). Is u at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2250304, -4500628, -6750982, -9001366, -11251780, -13502224?\n\"Answer: -15*z**2 - 2250279*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 4*r**2 - 10*r - 7. Let z be q(-6). Suppose l + 3 + 43 = 0. Let y = z - l. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 9. Let t = -5 + 27. Let p = t - q. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(39)\/sqrt(3) - (sqrt(13) + -1)*-1)**2 + (-4*sqrt(1300)*3)**2.\nAnswer: -4*sqrt(13) + 187253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/27)\/(((-24)\/3)\/24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 79 = 1 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23551109 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6015461 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2881.821 litres?\nAnswer: 2881821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1757836?\nAnswer: 2, 439459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17738615 is divided by 591287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*v - 4*v. Let b(f) = f**3 + 5*f**2 - 8*f - 4. Let j be b(-5). Let i = j - v. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13110, 26233, 39356, 52479, 65602?\nAnswer: 78725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1042 - 77 + 418 = 461*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 129*k**2 + 0 + 286*k**2 - 26*k**2 + 0 to i + t*k**2 + a*k and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**6\/720 + 5*y**4\/8 - 6*y**2. Let k(r) be the second derivative of n(r). Let m(p) = 3*p + p - 2*p. Calculate k(m(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*v - 1197 = -49*v. Let k = 399 - v. Factor -1\/3*z**4 - z**3 + k - 1\/3*z - z**2.\nAnswer: -z*(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) -4 (c) 11\/3 (d) 0.368 (e) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698.7 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - 37. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 1:38 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/100 and -61\/241750.\nAnswer: 483500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -7*q**6\/60 - 5*q**4\/12 + 5*q**3\/3 - 6*q**2. Suppose -10 = -18*s + 8*s. Let i(t) = -t**3 - t + 1. Give s*y(z) - 10*i(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -6*d + 51*d - 339 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 137144, 274317, 411536, 548825, 686208?\n\"Answer: 4*d**3 - d**2 + 137148*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 746187 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 84. Let m = 323 - 303. Calculate the remainder when x is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**10)*v)\/v*v**3)\/(v**(2\/7)\/(v\/v**(-1\/6))) assuming v is positive.\nAnswer: v**(-257\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 294151968*k**3 - 3479*k**2 + 28532?\nAnswer: 1764911808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 28*x - t = -4, x = -t - 2. Let u be 2\/38*(0 + -6). Let s = -27\/95 + u. Do s and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -281852.794 and 6697.6.\nAnswer: -275155.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 35 - (0 - 1). Suppose 4*p - 3*f = z + 2, -3*p = -4*f - 26. Solve j - 3*o - 10 = 0, p = 2*j - 5*o - 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 2 = 2*l. What are the prime factors of 3\/6 + l\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k. Let j(v) = 4*v - 2227. Determine d(j(a)).\nAnswer: 4*a - 2227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 71. Let q = -38 - w. Let m(i) = -4*i**3 - 3*i**2 - i - 3. What is the remainder when m(-3) is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 17*s**2 + 25*s**2 + 41 - 84 - s - 21*s**2 - 31*s**2.\nAnswer: -44*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.423 millilitres in litres?\nAnswer: 0.635423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -3*k - 2*l, 0 = -3*k + 4*l - 14. Let r(m) = m - 48 - 2*m**k + 93 - 46 + 2*m. Let o(s) = s - 1. Calculate -o(j) + r(j).\nAnswer: -2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 270398, 270366, 270334, 270302, 270270?\n\"Answer: -32*k + 270430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - u = 133, o + o = -5*u - 93. Let v = -133\/3 - o. Which is the closest to -1? (a) -5 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4, 2*f - 2*d + 7*d = 0. Solve 0 = f*z - 4*c - 3 - 5, -2*z - c = -11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*o + w, -2*w - 30 = 5*o - 4*w. Let n be (-4)\/(-7)*2\/o. What is the smallest value in -2\/9, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 17395*c - 87127. Give q(5).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/4 + (30 - -1). Suppose -5*n + 4*l + v = -59, -3*l = -6. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*i - 24. Calculate the remainder when (-6)\/4*(-92)\/6 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1052\/119 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 0.409?\nAnswer: -3.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 16) to base 6\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2286 - -1626295\nAnswer: 1628581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-4)*6\/(-3). Suppose 2*b - 13 = g*x, 2*x + 0*x = -2. Calculate the remainder when b is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z + 140 - 956. Suppose 3*y = 68 - z. Solve y*o - 4*o - 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2472 and 681551.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**4\/3 + 30*u**3 + 240*u**2 + 160*u\/3 - 1280 = 0. Calculate u.\nAnswer: -4, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42874092 + 2701122880\/63. Let c = 4421\/7 - k. Let t = -243 - c. Which is bigger: t or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**2 - 1454*y - 84*y - 1934 + 1934.\nAnswer: -15*y**2 - 1538*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z - 157 = -3*f, -4*f - z = -192. Suppose 0 = 51*s - f*s. Suppose s = -3*h + 2*h + 11. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 - 163. Let a be (-1127)\/(-46) + 3\/y. Solve 0 = 4*p - 10 + a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00561096302 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5*r**4 - 135*r**3 + 590*r**2 - 900*r + 440 = 0.\nAnswer: 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36346 + -36346.0046979. Round w to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 1960*s**3 - 1966*s**3 + 78794 - 2*s**2 - 78794.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 5*y - 1. Let h be x(4). Suppose 5*t - 6 = 9, 0 = -3*u - h*t. Is u at least as big as 0.33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122121 + 1110302?\nAnswer: 322121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 4, -5, -1\/28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1.2. Suppose 2*d + p + 8 = 0, -3*p + 11 = d + 5. Which is bigger: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9783*p**3 - 2*p**2 - 303*p + 1.\nAnswer: 58698*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -9*z**5\/80 - z**4\/3 + 31*z**3\/24 - 3*z**2\/4 - 4*z. Factor s(j).\nAnswer: -(j - 1)*(j + 3)*(9*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 155 - 221. Suppose l = -t + 38, t - 5*l - w = -l. Let y be (-1)\/(-3) - 1552\/(-6). What is the highest common divisor of t and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109523 and 5642.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - (-9)\/(-3)) + 0. Suppose -5*w - 4*v = -14, p*w = v + 4*v + 3. Calculate the least common multiple of w and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12380 divided by 6190.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*k - 77*k + 160 = 0. Calculate the least common multiple of 12 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v + 1983 - 122 + 278.\nAnswer: 9*v + 2139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22919 + -8a?\nAnswer: 2283a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-25)*545\/(-109)*(-750)\/40?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*12\/(-180)*-10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 330 by -7.\nAnswer: -330\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2042\/28 - ((-30)\/1185 - (-714)\/(-15484))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 12. Let g be x(-8). Let u be (-200)\/(-981) + g\/18. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -27*i - 49. Let a be h(-2). Factor 1\/4*z**4 + 0*z**2 + 3\/8*z**3 + 0*z - 1\/8*z**a + 0.\nAnswer: -z**3*(z - 3)*(z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*m - 7183 + 8506 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**6\/6 - m**4\/3 - m + 7. Let k(h) be the first derivative of p(h). What is the third derivative of k(i) wrt i?\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + 4*y**3 - 3*y**3)*(2 + 3 - 4) + (2 - 2 - 2*y)*(2*y**2 - y + y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhrrarlhrrrrlrah. What is prob of sequence alh?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1821 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 v(u) = 2*u**3 - 4*u**2 - 4. Let f = 18 + -9. Suppose 21 = 2*g - f*g. Let p(h) = -h**3 + 3*h**2 + 3. What is g*v(k) - 4*p(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2. Suppose 2*j - 27 = 3*q, j - q = -0*q + 11. Suppose 4*d + t - 18 = 0, 2*d + 6*t - 16 = 2*t. Let v(u) = j*u + 3*u - d*u - 6*u. Give b(v(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -2)\/(-3 - (-180)\/58). Suppose 9192 = q*w - 13486. What are the prime factors of w?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 36*l = 0. Solve 13*u - 9*u - 12 = l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 16495560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9260\/(-4630))\/(3 - (-1)\/(-1)). Which is bigger: 10\/531 or w?\nAnswer: 10\/531","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + (-26 - (-31 - 106)) - 6.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 448235 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -r - 327. Let m(g) = g**2 + 6*g + 1. Let d be m(-4). Is (d\/3)\/(1\/r) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**5\/5 - 7*n**4\/2 - 4*n**2 + 3501*n - 2656. Find the first derivative of j(i) wrt i.\nAnswer: -4*i**3 - 42*i**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3197 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*h + 6*h, -5*w + 12 = 2*h. Solve -g = w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -323 + 1293\/4. Let g(b) be the first derivative of q*b**4 - 1\/2*b**2 + 0*b**3 - 5 + 1\/2*b - 1\/10*b**5. What is v in g(v) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 7*j**4\/8 - 249*j**2. Let p(f) = -2*f. Calculate 22*p(h) + 2*s(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 38.9, 1\/19179, 1 in decreasing order.\nAnswer: 38.9, 1, 1\/19179, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10473614881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12334 - 20055?\nAnswer: -32433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10526 - -10529. Solve 8*z - 4*w - 20 = f*z, -3*z = 3*w - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/25 - (-28)\/(-20). Let g be (-2)\/(8\/k) - 28\/(-16). Suppose 3*q + 2*b - 88 = -2*b, -g*b = q - 32. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*j + 2*j + 99, 5*l - 2*j = 102. Let w = 42 + -33. Suppose w*t - 11*t + 8 = 0. Solve 0*v - 4*v + 10 = 2*q, -t*q + l = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 7*r. Suppose r = s - 11 - 5. Calculate the greatest common divisor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c*(c\/((c\/((c*c\/c**(-8)*c*c*c)\/c))\/c))\/c))*c*c\/(c*c\/(c**8\/c))*c**(-2\/5)\/c*(c\/c**1)\/c assuming c is positive.\nAnswer: c**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*j - 550, 0 = -f - 0*f + 4*j + 556. Let r be (-4)\/18 - f\/(-1071). Is -0.27 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36992 and 2467193?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 6. Let z(i) = -1. Calculate -f(d) + 2*z(d).\nAnswer: d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2.96\nAnswer: -2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/14)\/((-15)\/70). Solve -6 = t*o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**6\/100 + 13*f**5\/150 - 4*f**4\/15 + 4*f**3\/15 + 5*f**2. Factor w(d).\nAnswer: -2*(d - 2)**2*(3*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2\/3, -1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 948105794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(((-98)\/(-35))\/7). Let c(a) be the third derivative of -1\/140*a**7 + 0*a**3 + 0 - 6*a**2 - 1\/12*a**4 + 7\/240*a**6 + 0*a**y + 0*a. Factor c(m).\nAnswer: -m*(m - 2)*(m - 1)*(3*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide ((-4)\/(-6))\/(20\/1440)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15104.18 rounded to the nearest ten?\nAnswer: -15100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*z - 18353 = -16883 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 - -36\nAnswer: 36.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675771753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -39138870?\nAnswer: 39138870.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 3*g**4\/4 - 3*g**2 + 179*g - 157. Differentiate u(i) wrt i.\nAnswer: 9*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**4 + 55*h**3\/2 + 79*h**2\/2 + 13*h = 0.\nAnswer: -26, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -1\/3, 4, -58, -2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from {u: 5, g: 1, q: 7, o: 2, x: 1, i: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/4 (b) 2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.061105 to 4 dps.\nAnswer: -0.0611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d - 1220 - 405 = -46*d for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -5. Let x(b) = b**3 + 3*b**2 - 3*b - 5. Let a be x(-4). Let s be (u\/a)\/((-2)\/(-18)). Solve -2*o + 16 = -4*k, 2*k + s*k - 3*o + 21 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504517*y = 504518*y - 2*c + 5, 0 = -5*c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 13*g**2 - 11*g - 9. Let y be (1\/3)\/(-2 - 11\/(-6)). Let o be 897\/78 - 1*y\/4. Let q be t(o). Solve q*x = -2*x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k - 3*k = 23. Let m(h) = 6*h. What is m(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n - 41. What is g(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -0.052, -174, 2\/3?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 907 = v, 4*v - 29*x + 24*x - 3640 = 0. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from wwwffwfwww.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 814224 and 1696300?\nAnswer: 20355600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.682 - -0.1.\nAnswer: -1.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377 is divided by 587.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18505 and -0.4926849046.\nAnswer: -18505.4926849046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13230)\/(-2835))\/(2\/(-94))*2\/(-28).\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 2, -44 in decreasing order.\nAnswer: 2, -4, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 185 + -3 + -58 + -207\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4152620, -8305317, -12458014, -16610711, -20763408?\n\"Answer: -4152697*z + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/27872445 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1117 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*u**2 - 10*u + 2 + 1 + 455447*u**3 - 455445*u**3 as h*u + o*u**2 + p + z*u**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 184 and 54568?\nAnswer: 1255064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 141651131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brj when three letters picked without replacement from bjjbjjjjnjzrnsj?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 637561899 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 248 and 12160.\nAnswer: 376960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151 - -152. Put -7, p, 5, -5 in descending order.\nAnswer: 5, p, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 82. Suppose 26*s = n*s. Solve -5*i + s = -4*f - 11, -11 = -2*f - 3*i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -755251*c**2 - 755244*c**2 + 3020989*c**2 - 755250*c**2 - 755240*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2 + (-3 + 4 - 2)*(-3 - 3 + 5) + 1 - 1 + 1 + (3 + 3 - 4)*(6 + 3 - 5))*(-2*s - 15 + 15).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2. Let x(d) = 5*d - 9*d - 3*d. Give x(o(a)).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-118)\/1829 - (-54)\/(-124). Sort 2, -223\/3, i in descending order.\nAnswer: 2, i, -223\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5707727 is divided by 785?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7988, -26108, -54362, -92750, -141272, -199928?\n\"Answer: -5067*c**2 - 2919*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 - 4. Let a(u) = 2*u**3 + 5. Let x be (19 - 4)*(-1)\/(-3). Determine x*m(c) + 4*a(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471035 is divided by 2017?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1359635252?\nAnswer: 2, 2311, 147083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 831969 and 76533?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 10:48 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + 70*c**2 + 5*c**3 - 70*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - (-8 + 21) - (2 + -8)) + 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1256349*h. Let d(b) = 2*b**2. What is d(r(p))?\nAnswer: 3156825619602*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 6) in base 9?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175710796?\nAnswer: 2, 43927699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52017 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -32*i + 816. Calculate the highest common factor of 324 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e + -7bd?\nAnswer: -79e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - c + 13*d - 9*d = 79, 0 = 5*d + 10 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -975 (base 11) to base 12\nAnswer: -817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2366894055 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 189*n + 0.\nAnswer: -189*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-10)\/40)\/((-9)\/42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + (57 - 59) - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(175))**2*-2.\nAnswer: -1403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 1267*s - 1263*s + 32, -524 = 66*t - 2*s for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0148 and 1085.72.\nAnswer: -16.068656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**4 + 1 + 2*s + 5*s**4 + 4*s**3 + 0*s**2 - 4*s**4 + 19*s**2 + s**4 in the form o*s + i*s**3 + w*s**4 + q*s**2 + p and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**6\/120 - i**5\/4 - i**4\/8 - 4*i**3\/3 + 17*i**2. Is 2 a factor of d(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 62\/561, -1, 4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 450597362 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - 1854*(5 - 4). Find the common denominator of 56\/9 and l\/(-420) - 2\/4.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*a + 191 - 4748. Which is bigger: a or 143?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56571408829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u + 111. Let p be j(15). Solve -p*h = -1 + 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2. Suppose -3*k = -0 - 3, -4*y + 2*k + 26 = 0. Let p(u) = -u + y*u + 3*u. What is p(d(i))?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -190, -2.\nAnswer: -190, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -5. Suppose 2 = m - c. Suppose 2*q = 6*q, -s = -m*q - 6. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 56 = -7*t. Let y be (-4)\/t - 24\/(-14). Find the first derivative of y*m**2 - 3*m**2 - 5*m**2 - 5 + 0 wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 686 - -3566?\nAnswer: 4363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 455?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1354487 by -1.\nAnswer: -1354487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 20*g = -3*g. Solve w + 3*y = -8, y = -3*w - g*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46294*b**2*z**3 + 2*b**2 - 2*b*z**2 + 5*z**3 + 328010 wrt b?\nAnswer: -92588*b*z**3 + 4*b - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 122517 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 - -29. Let q = 40 + t. Let h = -1 + 0.7. What is the biggest value in -1\/2, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3979 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -517 + 528. Let q(s) = -s**3 + 7*s**2 - 5*s + 7. Let b be q(6). Which is bigger: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44403816 or -44403818?\nAnswer: -44403816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/6))**(-18)*(q\/(q\/(q*((q\/(q**(-7)\/q))\/q)\/q*q)))**(-1\/15))**(-1\/7) assuming q is positive.\nAnswer: q**(18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 67. Let j be 0\/(2*-1) + b. Round j to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003209064 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -87220, 3 in ascending order.\nAnswer: -87220, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1344, -1340, -1336, -1332?\nAnswer: -1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3964019145 to the power of 1\/2, to the nearest integer?\nAnswer: 62960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2406 - 2261. Calculate the highest common divisor of y and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + m + 10*m + 1 - 7*m. Let t(h) = -h**2 - h. Let c(q) = -a(q) + 3*t(q). Let z(n) = 3*n**2 + 10*n + 1. Determine 7*c(v) + 5*z(v).\nAnswer: v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12, -7, 166, 645, 1568?\n\"Answer: 23*y**3 - 54*y**2 + 6*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 80 = 5*v + 4*a, 0 = v - 2*a - 13. Suppose -v*m - 2 = 13. Sort m, -3, 0 in descending order.\nAnswer: 0, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46966877827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -2, 4, -1354, -5.\nAnswer: -1354, -5, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 - 2*f**3 - 17*f**3)*(2*f + 1 - 1) - 993 + 2*f**3 - 69*f**4 + 993.\nAnswer: -113*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - s - 435, -4*s + 145 - 455 = -3*g. Suppose p = 5*h - 345, 45 + 111 = 2*h - 4*p. Let q = g - h. 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: Simplify ((y**(-24))**40*(y*y*y\/(((y*y*y**37*y*y)\/y*y)\/y))**(5\/7))**(-1\/5) assuming y is positive.\nAnswer: y**(1381\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 10:41 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-234)\/(-7) - (-24)\/42. What is the highest common divisor of 51 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x + 42 + 46 = 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/132 and 5\/1368.\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 8*n + 0*n**2 - 2*n**3 + 164 + 1\/2*n**4. What is t in m(t) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 250 = 5*b, n - 5*n = -3*b + 136. Suppose 0 = -5*f + 3*f - b. Is f*(4 + (-75)\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*20\/(-3))\/(3*(-8)\/12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*-19.4\nAnswer: -38.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 3:45 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9101339 and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuaaaaaa. 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: b\"What is the xth term of 903, 3567, 8007, 14223?\n\"Answer: 888*x**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -16.991. Let v = 8 - 7.9949. Let n = x - v. What is n rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -175 - -212. What is the remainder when x is divided by -60*1*(-3)\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41, 39, 35, 29, 21, 11, -1?\n\"Answer: -r**2 + r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6426 and 147798.\nAnswer: 147798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8482 is divided by 215?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5330366.\nAnswer: 2, 43, 61981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413862.2 tonnes to kilograms.\nAnswer: 413862200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 1, t: 4}. Give prob of sequence uu.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 58 = i, -36*i = -40*i - 3*m + 271. Let j = 80 - 17. What is the lowest common multiple of j and i?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**5\/60 + g**4\/24 + 5*g**3\/2 - 7*g**2. Let n be a(0). Let d = n + -5. Solve l = -4*l - d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14, -2103, -6350, -12727, -21234?\n\"Answer: -1065*b**2 + 1078*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 4. Let s be (-2)\/(-4) + (-195)\/(-30). Suppose -1 = -2*m + s. Let r(f) = f + 3. Give m*r(l) - 3*i(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*c - 2175 = c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1141 - 396. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/120 - 713\/840. Which is the third biggest value? (a) 1 (b) 4 (c) -2\/9 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (-45 - (-53 + 48))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yci when three letters picked without replacement from cycfyi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 791840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(4 + 1 - 6)*(4*j + 2*j + 0*j).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1.2. What is the closest to k in 0.1, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12186690*f**3 - f**2 - 3*f + 718726329 wrt f?\nAnswer: -36560070*f**2 - 2*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (77 + (-79 - -41) - 65).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*m + 2. Let d = 2 - m. Suppose d*q = 3*q - 153. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*h - 2*m + 4, -4*m - 8 = 2*h. Suppose h = f - 6*f + 60. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 18\/8)*-24. Let r be ((-2)\/(-6))\/((-2)\/v). Sort 5, r, 2 in descending order.\nAnswer: 5, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3195)\/(-1491)*(-63)\/15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-14)\/(-4)*1. What is the third biggest value in b, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 154*p - 5310 = 14*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 65\/2*(-52)\/65. Let t = z + 101. Calculate the highest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h - 76. Let p be y(-26). List the prime factors of 4\/10*43230\/p.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-174 - -218) + (5 - (0 - (-7 - -4))) + -2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -24. Let y be (-13)\/(-21) + k\/35. Suppose -44*o - 255*o + 1495 = 0. What is the nearest to y in o, -3, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-1 - (2 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 574 + 119. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301919072.\nAnswer: 2, 3, 13561657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*u + 12 = -28, 4*u - 14 = 3*w. Let b = w + 11. Suppose -b = 5*j - 21. Calculate the remainder when 9 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/5)\/((-1)\/((-615)\/12)). Let l(g) = 7*g - 3. Let i be l(1). Suppose -18 - i = u. Is u not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 66\/(2\/(-1)) - -3. Let d = u - -58. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307373?\nAnswer: 3, 263, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 29004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 185*c + 1302. Give l(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139339 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01303382 to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (2 - (2 - 6) - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45388\/10 - (-96)\/(-120)?\nAnswer: 2, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/240*3)\/((-6230)\/(-112))?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1514*n. Let l(d) = 78310*d. Calculate p(l(t)).\nAnswer: 118561340*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - s + 179 = 0, 3*v + 7*s - 4*s = -183. Let j = -34 - v. Let d(t) = -t**2 - 8*t - 6. Calculate the remainder when j is divided by d(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3\/19 + 754*n**2\/19 - 2224*n\/19 - 7480\/19 = 0.\nAnswer: -2, 5, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 + 44841*b - 269154 = 0.\nAnswer: -14953, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 141*a**3 + 2*a**2 - 5*a - 4. Let p be j(2). Let l = -1016 + p. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6348 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 10*w + 26 + 15 + 4*w + 6 - 6*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29278246?\nAnswer: 2, 14639123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {i: 8, b: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1315, -2092, -2911, -3772, -4675?\n\"Answer: -21*j**2 - 714*j - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*v - 1)*(0*v**3 + 39 - 40 + 2*v**3 + v**2).\nAnswer: -6*v**4 - 3*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*h = -176. Let b = 858\/5 - h. Find the common denominator of 12\/7 and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.3 - 1.2. Let x = v - 0.1. Which is the second biggest value? (a) x (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1007\/18876 + -1\/484. Put -0.3, j, 0.1 in decreasing order.\nAnswer: 0.1, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -171, -652, -1453, -2574, -4015, -5776?\n\"Answer: -160*y**2 - y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.5221*57.\nAnswer: 485.7597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/7))**(3\/14)*(n\/((n*(((n**1\/n)\/n*n*n)\/n)\/n)\/n))**(2\/23))**(-41) assuming n is positive.\nAnswer: n**(-5207\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5811 - -15693. Is 122 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Let k = -797 - -787. Which is the nearest to o? (a) k (b) -0.5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*o**2 - 3 + 4 as r + x*o + i*o**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6660\/(-376))\/9 - -2. Is 0 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 117 and 9830\/83 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - sqrt(57)*-3*-6)\/(-6*(sqrt(3) + sqrt(108))).\nAnswer: 17*sqrt(19)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*o = -83*o. Which is the third biggest value? (a) -6\/5 (b) o (c) 13 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 6*j = 2758. Let x = j + -4926\/25. What is the fourth biggest value in -5, 2, x, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 170\/119*25\/5*238\/(-34)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237979236?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 12, m: 6}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/539 + -50121\/1078. Sort -2, d, 0.5, -4 in increasing order.\nAnswer: d, -4, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**0))**24*f\/(f**(-3\/5)\/f)*(f**(2\/5)\/f)\/f)\/((f*f**(-2\/7))\/(f**(-1\/3)\/f)*(f\/(f*f**(3\/2)*f))\/f*f*f*f**(-3\/2)*f) assuming f is positive.\nAnswer: f**(20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1370 (b) -1.72 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -10*c**3 + 3*c**2 + 43*c + 16. What are the prime factors of x(-6)?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/((-371)\/(-318))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612925507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r - 17. Let y(b) = 8*b + 28. Determine 5*o(f) + 3*y(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccztcjtzjnjczcc. What is prob of picking 2 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -93. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*y + 14*y - 42*y as t + j*y and give j.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -7.\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -4\/3*h**3 + 0*h - 1 - h**2. Find the second derivative of o(g) wrt g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**5\/60 - b**4\/8 - b**3\/6 - 4*b**2. What is the least common multiple of d(-2) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/5)\/(198\/(-30)). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9114 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.98 - 3.88. What is the nearest to k in 0.3, 3\/2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -113, 5 in descending order.\nAnswer: 5, -0.5, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2. Let i(c) = -47935*c + 45. Give i(v(u)).\nAnswer: -47935*u**2 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18661.53541 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18235261, -72941051, -164117367, -291764209, -455881577?\nAnswer: -656469471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 1 + (0 - 21). Let o be -1*(-5)\/f - 29\/44. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*(-8)\/(-130).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3555606*l - 1636. Let y be m(6). What is y rounded to the nearest 100000?\nAnswer: 21300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/5 - 2*y**4\/5 - 3*y**3\/5 + 4*y**2\/5 + 4*y\/5.\nAnswer: y*(y - 2)**2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -9.5. Let d be (1\/2)\/(1\/6). Suppose 0 = -s, -5*g + d*g = 2*s. Which is the closest to g? (a) j (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12563345 and 22520.\nAnswer: 2815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**3 + 6*z**2 + 16*z - 6. Let g(x) = -5*x**3 - 13*x**2 - 33*x + 13. Let k(s) = -13*c(s) - 6*g(s). What is the second derivative of k(t) wrt t?\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3265203 (base 7) to base 13.\nAnswer: -111444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030 a factor of 3417990110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 95115 divided by -1\nAnswer: -95115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 15?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110110011001001 - -10?\nAnswer: 100110110011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**2 - 37032*s - 74052 = 0.\nAnswer: -12342, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 65 = 5*o. Suppose u = -3*u - m + 25, -4*u + m = -15. What is the remainder when o is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00592092036 to 6 dps.\nAnswer: -0.005921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 59499 and 286?\nAnswer: 1546974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000211102012 + 1?\nAnswer: 1000211102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -22*g**3 - 7*g**2 + 64*g. Let j(w) = -24*w**3 - 6*w**2 + 63*w. Let n(d) = -7*j(d) + 6*r(d). Find the second derivative of n(i) wrt i.\nAnswer: 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a81 + 896?\nAnswer: -31da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + r**2 + 4*r + 217. What are the prime factors of a(0)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40877 and 369164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11323 or 0?\nAnswer: -2\/11323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -55*i + 17. Let u(p) = -56*p + 16. Let n(f) = 3*o(f) - 4*u(f). Suppose 0 = c + 3*w, 3*c - 7 - 21 = 5*w. Is n(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 416 (base 7) to base 15\nAnswer: de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 565*a**3*o**3 + 47*a**2*o**3 + 10823*o**3 wrt a?\nAnswer: 1695*a**2*o**3 + 94*a*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29448559?\nAnswer: 7, 37, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6909776 or -2\/7?\nAnswer: -6909776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2977, 2979, 2981, 2983, 2985, 2987?\nAnswer: 2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-945)\/(-49) + (-2)\/7. Suppose -z - 29 = -3*j. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 22*i**2 - 866*i + 250. What is p(39)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -89*r**2. Let m(q) = -33*q**2. Calculate a(m(v)).\nAnswer: -96921*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -42861239\nAnswer: 214306195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**13)\/(u\/(u\/u**(-20))))\/((u*u\/((u**(1\/20)*u)\/u))\/(u\/(u**(2\/3)*u))) assuming u is positive.\nAnswer: u**(323\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1476 - -639.1476. Let f = g - 638.999984. Round f to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3252807.\nAnswer: 3, 73, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3 = -6*d + 3, -4*f + 3 = -452*d + 455*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9098 (base 11) in base 7?\nAnswer: -50144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v + 22 = 0. Suppose -68 = -3*u + 5*x, -x + 0*x = -5*u + 128. Let g = u + v. Are g and 16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.03516\nAnswer: -0.01758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + p**3 + 26 + p + 3*p - 23. Give d(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.482514036221 and -0.026.\nAnswer: 7.456514036221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 1598 = 10. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-14))\/(10\/(-7))*(-6)\/(-12).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -211.9 - 0.1. Let f = -244 - p. Which is smaller: 1\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 62.77499.\nAnswer: -62.57499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w = -t + 4, 2*t + 22 = 4*w. Let f be (w - 4)\/(-2) - 1. Which is the closest to 1? (a) -4 (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((0 + (sqrt(1872) - -2*sqrt(1872)*-6))*-1 + -3)*-3 + 5)*5)**2.\nAnswer: -1306800*sqrt(13) + 458698900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119\/(-7)*36\/306.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -10, -2, 1, 42 in increasing order.\nAnswer: -13, -10, -2, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:54 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - 48\/18*6\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 1 - (9 - 14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/4*123\/(-9020). Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19855, 15277, 7647, -3035, -16769, -33555?\n\"Answer: -1526*g**2 + 21381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 2*b**2 + b - 1. Let x be k(-2). Put 2, -2, x in decreasing order.\nAnswer: 2, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2. Let n(i) = -11*i - 6. Let o(l) = -21*l - 11. Let k(d) = -11*n(d) + 6*o(d). Let q(t) = 6*t. Let y(h) = 3*k(h) + 2*q(h). Give y(j(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 - 10*f - 12*f**2 - 2*f + 4*f - 8.\nAnswer: -5*f**2 - 8*f - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 4:14 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q**3 - 11*q - 2. Let p(j) = -5*j**3 + 6*j + 1. Let o(i) = -5*p(i) - 3*s(i). Calculate o(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8731.135 nanometers to centimeters.\nAnswer: 0.0008731135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(-36)*(-10)\/(-8). Sort r, 2, 1.\nAnswer: r, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153032061?\nAnswer: 3, 7, 13, 19, 163, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.4 - 13.1. Let l = -7.6 - i. Let r = 4.3 + l. Round r to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(14\/(-6))*-3. Let w be (-4)\/(-10) - 14\/10. Let r be (1\/2)\/(w\/(-8)). Solve -r*z + 3*l = m + 23, -4*z - 8 = 3*l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242 divided by -962.\nAnswer: 121\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22, -51, -106, -193, -318?\n\"Answer: -f**3 - 7*f**2 - f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + -76. Suppose -j + g = v - 2, 0 = -3*v + 9. Is -2\/87 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-4)*(-1040)\/(-95940)*123?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -9*j. Let x(s) = -35*s + 14. Let f(t) = -59*t + 25. Let v(z) = 7*f(z) - 12*x(z). What is v(l(h))?\nAnswer: -63*h + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 a when four letters picked without replacement from uagwwaawuauuggugwgg?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - g = -56, 0 = 4*g + 6 + 10. Let n(r) = -r + 13. Let z be n(i). Solve 0 = 2*w - 2, q + 2*w - z = 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hksh when four letters picked without replacement from {i: 1, s: 1, p: 3, j: 2, h: 2, k: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-362)\/(-4)*2*1. Solve v*c + 4 = 177*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 1:50 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 148737 = 5*c, -154*c + 155*c + p = 29749. Does 34 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (((sqrt(168)\/sqrt(4))\/sqrt(3))\/(sqrt(4)\/sqrt(2)*-5) - (sqrt(343)*-3 + 0 + sqrt(7) + 0)))**2.\nAnswer: -198*sqrt(7) + 69232\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12547 - -12556. Solve -s*z = 50 - 104 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.886 + 0.114. Which is the fourth smallest value? (a) l (b) -5\/3 (c) 5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let l be -2*6\/(u + -1). Calculate the remainder when 67 is divided by 1\/(-6) + 278\/l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -4473793.\nAnswer: -4473793.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -12978597 less than -12978604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4520?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**4 + h**3 + h**2. Let s(y) = 9*y**4 - 39*y**3 - 93*y**2 - 81*y. Let j(o) = -12*p(o) - s(o). Find a such that j(a) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/1296)\/((-4)\/12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Suppose -m = -3, f = -f + r*m - 2. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*a**2 - 5 + 5 + 118*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -t + 4*a - 0*a, 3*t = -5*a - 10. Suppose 4*i + g = 7, 0 = t*g - 6 - 9. Let o = 288 - 291. Is i < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a microgram in nanograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 321?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 12*v = -9. Solve -1 = -2*m + v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -675152*h**5 + 455237*h?\nAnswer: -13503040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-162)\/45*(-5)\/3. Find the third derivative of 16*v**3 + 157*v**2 - 10*v**6 - 4 + 2 + 7*v**6 + v**s + 1 wrt v.\nAnswer: -240*v**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 277*x - 139*x - 141*x - x**2. Give s(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/645 and 37\/258.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -8. Suppose -2*z + 30 = -0*z + k*n, -30 = -5*z + 5*n. Suppose y = -0*y + 11. Solve -a + y = q + q, -3*q = -a - z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 28 + 16 = 0. Suppose -2*m + v = 2*m - z, -5*v = -25. Let b be 4*(-2)\/12*(-57)\/m. Solve -2*g = -3*g - 3*d + b, -2*d = 2*g - 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2415*y**2 - 16859*y - 360. Give d(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8495 is divided by 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-2) + 2 - 810\/(-180). Solve 0 = -s + p*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(304) + (sqrt(475) - (1 + sqrt(475)))**2.\nAnswer: -4*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.79084 - -0.20916. Which is the second biggest value? (a) 2\/5 (b) -1380 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1 - 3)\/(-2))\/1. Let q(s) = 26*s**3 + s**2 - s. Is 13 a factor of q(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74 - 74)\/(2*(1 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15\/7, 3\/5, -2969?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344109 is divided by 4721?\nAnswer: 4197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 3*l + 1. Let b be o(-2). Suppose -5*z + b*m + 240 = -15, -z - 3*m + 51 = 0. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/120668275 and -47\/493675?\nAnswer: 844677925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135314.9 millilitres to litres.\nAnswer: 135.3149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n + 2. Let q(h) = -4*h**2 + 4*h - 1. Let w(k) = -k. Let l(p) = -q(p) - 4*w(p). What are the prime factors of l(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6608272 by 413017.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 14) + 16 + -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 204, -4, -11 in descending order.\nAnswer: 204, 4, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19419 - 19417. Solve i*b = 39 - 51 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12393, 12858, 13323, 13788, 14253?\n\"Answer: 465*q + 11928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 20*f + 116. What is d(-13)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + -345?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45*i**3 - 2?\nAnswer: 135*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17 != -434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 258\/(-4)*((-42955)\/1815 - (-26 + 1))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 5032995*z - 5032998.\nAnswer: 3*(z - 1)*(z + 1677666)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**0)**20\/(z**0)**(-2\/33))**(-46))**16 assuming z is positive.\nAnswer: z**(-14720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 59364031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**5\/20 + 7*z**4\/16 - 7*z**3\/6 + z**2 - 59. Factor m(c).\nAnswer: -c*(c - 4)*(c - 2)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 11:37 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4042, 8167, 12368, 16645, 20998?\nAnswer: 25427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 864507 from -101579.878.\nAnswer: -966086.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -1. Let i(o) = -o - 7. Let p(t) = -i(t) + x(t). Suppose -119 = 5*z - k, -z - 3*k = k + 7. Let g = z + 29. Calculate p(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 (base 11) to base 3\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((4*sqrt(204)\/sqrt(4) - sqrt(51)) + sqrt(51)))\/(-2*-2*sqrt(243) + sqrt(243)).\nAnswer: 8*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(288) + 2)**2.\nAnswer: 48*sqrt(2) + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-6) - 21\/(-36). Let c = 2025\/7 - 289. Sort -4, c, y in decreasing order.\nAnswer: y, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 3*w**2 + 4*w + 31834. What is the hundreds digit of q(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4909518 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = v - 8*i + 10*i, 0 = 5*v + 3*i - 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 134, 184, 218, 230, 214, 164, 74?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 less than 13.957?\nAnswer: 112.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 10:25 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c)\/(c\/c**(-1\/5))*((c**(-6)\/c)\/c)\/c**1 assuming c is positive.\nAnswer: c**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from korkrrkororgrkkgro.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35\/4*y + 0 + 5\/4*y**3 - 10*y**2.\nAnswer: 5*y*(y - 7)*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 4*c. Let h be v(-5). Let w = 13 + h. Find the second derivative of 3*l**2 - 3*l**2 + 21*l - w*l - 5*l**2 wrt l.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61380116*h - 30690046*h - 30690067*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1813440 and 10752.\nAnswer: 101552640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -4\/3 (c) 1372 (d) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2679202 rounded to two dps?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1598 + -2449. Suppose 0 = 4*u - 2640 - 3112. Let l = h + u. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - v. Let j be o(-1). Is 7 a factor of (j - 1) + (-3 - -14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3952.449 days?\nAnswer: 341491593.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224205 divided by 3.\nAnswer: -74735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, 19, -3\/4, -5.\nAnswer: -5, -3\/4, 19, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -214178965*h**3 + 14647444*h**2?\nAnswer: -1285073790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 349503556 to the power of 1\/4, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 1. Let m be 292\/18 - f\/45. List the prime factors of 2\/m - (-5754)\/48.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bab + 1567a?\nAnswer: 16447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001753604 to seven dps.\nAnswer: -0.0001754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.7. Which is the nearest to -0.1? (a) f (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.4 - -18. Let b = -0.60019 + d. What is b rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 2*k - 12, -k - 6588 = -8*d - 6582 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 41118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c - 26*c - 4*c - 23*c.\nAnswer: -38*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 9. Give r(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2581 and 420731391?\nAnswer: 2581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101152155 a multiple of 4196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**4\/8 - 5*k**3\/6 - 179*k**2\/2 - 176*k - 4697. Factor q(a).\nAnswer: (a - 22)*(a + 1)*(a + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*w + 2*w - 10*w + (0 - 1 + 3)*(-w - 1 + 1) + 0*w + 0*w - 3*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3\/2*y + 3\/2*y**3 + 3\/2 - 3\/2*y**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6c9 (base 16) to base 9\nAnswer: -2340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-136)\/(-442) + (-262)\/598. Let v = h + 85\/299. Factor -v*z**5 - 2\/13*z**4 + 0 + 6\/13*z**3 + 4\/13*z + 10\/13*z**2.\nAnswer: -2*z*(z - 2)*(z + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43036 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/523854 and 13\/3270.\nAnswer: 2619270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -210*r + 168*r + 192 + 186 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 134 in -4, 1\/4, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -228659 (base 10) to base 2\nAnswer: -110111110100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*y + 47, 11*z - 13*z + 53 = 3*y. What is the least common multiple of 3 and z?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 920 and 433780?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -640 + 645. Solve -19 = -3*s - g, 3*s - 9*g = -4*g - t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24817517?\nAnswer: 503, 49339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -76016404*w + 119758363?\nAnswer: -76016404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.27 - 0.83. Let l = q - -1.5. What is the closest to 2\/7 in -0.4, l, 4\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/1*48\/((-1872)\/(-1677))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 255*r - 32?\nAnswer: 255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -10\/3, -3.94, 0.4 in decreasing order.\nAnswer: 0.4, 0.3, -10\/3, -3.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 164383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-10) + ((-120)\/(-50))\/12. Let n(o) = -o + 8 + 0*o + o**3 + 6 - 21. What is n(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -11*w**2 - 13*w + 15. Let n(q) = 4*q**2 + 3*q - 2. Let z(k) = -i(k) - 5*n(k). Let x(t) = 8*t**2 + 2*t + 4. Calculate -7*x(u) - 6*z(u).\nAnswer: -2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 1, c: 5, y: 2}. What is prob of picking 1 y and 1 k?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 2906.\nAnswer: 11624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 + -6)*-2 + 229. Let t = g + -222. Solve 8*r = 7*r + t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200 + 25*v**3 + 1729 - 1529.\nAnswer: 25*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 86808, 86807, 86806, 86805, 86804?\n\"Answer: -c + 86809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2389?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 230, 1\/4, 1\/55?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = 2*c - 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104 + 71. What are the prime factors of (-1 + 2 - g) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -6. Let h = -9 + q. Let v(j) = 12*j**2 + 5*j + 2. Is v(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 8 + -5 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**7\/42 - 9*q**6\/40 - q**5\/2 - q**4\/3 - 123*q**2 + 2. Determine d so that a(d) = 0.\nAnswer: -4, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -4 (b) 4\/9 (c) 1\/4 (d) 0.776 (e) 134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p - 7. Let g(n) = -n**2 + n - 1. Calculate -2*g(r) + o(r).\nAnswer: 2*r**2 + 4*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (54\/(-45))\/(4\/(-10)). Let s = 98 + -93. Suppose -256 = -j*o - s*z + 34, -348 = -4*o + 3*z. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 + 3 = 18*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 5, 797, -1 in ascending order.\nAnswer: -7, -3, -1, 5, 797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*m**2)*(-3 + 4 + 0 - 4*m).\nAnswer: -8*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 25, 5*h + 5*u + 45 = -0*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -223, 2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + v + 44 = 56, -5*v = -15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.179 + -1.891. Let t = 8 + a. Let z = t - -4.07. What is the biggest value in -1, -2\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -121 + -32 + (86 - 66) + 15?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 8*g**2 - 12*g - 10. Let f be 9\/3 - 2*3. Let x be f\/(-3)*3 - 12. Let a be h(x). Solve -4*b = -5*q - a, -3*q = q + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 293683.7.\nAnswer: 293682.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**4 + 261*c**3 + 765*c**2 + 759*c + 252 = 0.\nAnswer: -84, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, 2\/5, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26372 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147 (base 13) in base 4?\nAnswer: 1020032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**6\/10 + 7*t**4\/12 - 13*t**2\/2 + 6. Let p(u) be the second derivative of f(u). What is the second derivative of p(n) wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*-2 + 5.\nAnswer: -10*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 15*c - 10 + 4*c**2 + 0 - 7*c - 3*c**2. Is p(-10) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28743\/5306 or -5?\nAnswer: -28743\/5306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 3*r - 2*r + 2*r - 2*r - 2*r + (-1 + 3 + 0)*(r + 4*r - 7*r) - 3 + 3 + 2*r + (23 - 3 - 8)*(5 - 2*r - 5) - 2*r - 2*r - 6*r.\nAnswer: -41*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175698 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -970 + 970 + 2*p**3 + 2*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20107 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.840278 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttu when three letters picked without replacement from tutttuttutqtuuu?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - -3*(-1)\/3. Let d(x) = 2*x**2 + 1. Let f be d(s). Solve 2*n - 3*v = 15, f*n + 15 = n - 3*v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -64*i + 5. Let g(b) = -b**2 - 5*b - 4. Let t be g(-5). Let f be j(t). Let d = -37573 - -37602. What is the greatest common factor of f and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkaakpkkpppaaaaa. Give prob of sequence kpak.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-4\/15)*k*k)\/k*k)\/(k**5*k))\/(((k\/k**(7\/3)*k)\/k)\/(k\/(k\/((k\/(k*k**14))\/k)*k))) assuming k is positive.\nAnswer: k**(-284\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 4\/9 (b) -0.02 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417 = -4*z + 9636*y - 9591*y, -4*z - 5*y - 33 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000405352 rounded to 7 dps?\nAnswer: -0.0000405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -33) + -42 - (-16 + -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w - 12 = 0. Let u be (1 + (-2)\/4)\/(-3 + 1). What is the second smallest value in u, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/81, -0.09, 59, 3, -1\/4 in ascending order.\nAnswer: -1\/4, -0.09, 2\/81, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21466 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 2198101?\nAnswer: 2198102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1547338.\nAnswer: 2, 13, 59513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0*l + 4 + 3*l.\nAnswer: 3*l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -916 - -924. Solve -6*z + 2*z = -c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 t when four letters picked without replacement from {t: 2, b: 8}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f = 26*f + 1709 - 1453. Let k = 9.4 + -47.4. Is k < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 140440004?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7848995.\nAnswer: 5, 7, 11, 19, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/11 + 298188*u + 122259614598 = 0. What is u?\nAnswer: -820017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v - v + v + (-4 + 7 - 2)*(v - 2*v - v) - 2*v + 0*v + 0*v - 482*v + 52468 - 52467 - 507*v)*(-4 + 10 - 5)*(-1 + 0 - 1) to p + l*v and give l.\nAnswer: 1990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113 - -115. Suppose 0 = x*n + 5*j - 144, -j - 72 = -n - 0. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1189 and 2665?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5049 and 263744613?\nAnswer: 5049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 19*g**2 - 85*g - 6. Does 10 divide k(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 1972.\nAnswer: 17748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1004 + 1?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 125*p**4\/12 + 2437*p**3\/6 + 6*p**2 + 18. Differentiate z(l) wrt l.\nAnswer: 250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -144442 at least -144478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.367 + 7.805. Let x = 4.6 - y. Round x to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1449933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363289 to the power of 1\/2, to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsssssjzssjjzjsszjz. Give prob of sequence szs.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 10:00 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 237106 and 5.\nAnswer: 237111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1059, -1060, -1061, -1062, -1063?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14962577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 10 = 5*j, 45 = -2*j - 5*b + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 737 and 2758778?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -6\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 222.0105 - 67113.6\nAnswer: -66891.5895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, o: 1, v: 1, d: 5, r: 8}. What is prob of picking 1 v, 2 r, and 1 o?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.58 + 4.58. Let i = 177\/28 + -46\/7. Which is the nearest to k? (a) i (b) -5 (c) -5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 16*u**2 - 3*u - 44. Let s be y(-16). Suppose s*l + 182 = 17*l. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*k - 12*k - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*sqrt(110))\/sqrt(10) + sqrt(1100) + 2 + ((sqrt(121)*-3 - sqrt(121))\/sqrt(11)*-1 + -5)**2.\nAnswer: -26*sqrt(11) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 0.25, -1009790.\nAnswer: -1009790, -4\/5, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/66*(-348)\/3915*(-72)\/40?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)*2)\/sqrt(7) + -2*sqrt(220)\/sqrt(4))\/(-5*(sqrt(176) + -4*sqrt(176) + sqrt(176))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1 (base 14) in base 10?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 28 = -243. Suppose 3 = 2*m - 1. Suppose d = -m*d + 45. What is the remainder when k is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 5*o**2\/2 - 3*o - 9. Give q(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5646*r**2 - 38 + 6*r + 5582*r**2 - 11230*r**2)*(-3*r + 2*r - 3*r) to z*r**2 + w + l*r**3 + y*r and give y.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8496 divided by -1915.\nAnswer: 8496\/1915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) - (-140)\/60. Suppose 0 = -0*h + 4*h. Let i(d) = -6*d**2 + d**g + h*d**2. Let r(b) = -b. Calculate i(r(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 2*a - 2. Let i be ((-6)\/4)\/(9\/12). Let q(p) = 3*p**2 + 5*p + 5. Let m(n) = i*q(n) - 5*h(n). Let k(f) = -5*f. Give k(m(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -539, -559, -581, -605?\n\"Answer: -i**2 - 17*i - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 89 - 95 - (-24 + (-1 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1757 + -1752. Put -4, 0, i, -76 in decreasing order.\nAnswer: i, 0, -4, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 262165935 and 33451.\nAnswer: 262199386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*x + 25, -3*g + 3*x = -2*x + 3. Suppose 2*k = 5*k + 2*u - 8, -16 = -4*k - g*u. Solve -4*n - n - 10 = k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2. Suppose -4*m + 74 = -2*m. Let t = -17 + m. Let q(j) = 22*j - 51*j + t*j + 15*j. What is q(a(h))?\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 28 = 3*b + 10, -4*p + 4*b + 24 = 0. Calculate the lowest common multiple of p and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -3*w - p + 10, -7 = 3*w - p. Suppose 5*b - 25 = -5. Put b, 2, w in descending order.\nAnswer: b, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*v - 62*v + v**2 + 31*v + 1 as k*v + z*v**2 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 42 = 46 - 98. Solve n*d - 20*d = -20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*u**3 + 3*u - 13*u**3 - 3*u.\nAnswer: -39*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*f + 64, 2*x + 3*x = -2*f - 304. Let w = -51 - x. What is the remainder when 34 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1200 and 259875.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 302924 - 644 - 19\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven fifths of a gram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(63))*-6 - sqrt(35)\/sqrt(5)*-3)**2 + 5.\nAnswer: 3092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -x + 2*b, -113 = 5*x + b + 43. What are the prime factors of x*(-42)\/(-12)*-4?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 193331103 and 3?\nAnswer: 193331103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31319199 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/543, -556\/21, -0.3, 3\/7, 2.\nAnswer: -556\/21, -0.3, -2\/543, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a3722 (base 11) in base 3?\nAnswer: 12010121020101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 910 = 35*m. Let q = 1 - 11. Let c = q + m. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 2:15 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 7:59 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68072319 by 51453.\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 0*n + (4*n - 2*n - 3*n)*(1 - 1 - 2) + 7*n + 8*n - 4*n)*(4*n - 6*n + n + (n + 2 - 2)*(1 + 5 - 4) + 2*n + 0 + 0).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.18 - -1.084. Let w = t + 0.396. Which is the third smallest value? (a) -5\/6 (b) 4\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 587*y**2 - 194*y - 107. Is 135 a factor of z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from {k: 13, o: 3, v: 4}?\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/12*2)\/(-5)*-124. Find the first derivative of 139 + f*g - 67 + 118*g**2 - 62*g wrt g.\nAnswer: 236*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5459544 and 396.\nAnswer: 60054984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135 + -131. Calculate the common denominator of (45\/(-2))\/((-6)\/12*n) and -45\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 192?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.556 + 0.056. Which is the closest to t? (a) -0.5 (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 6. Calculate t(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p = 4*o - 22, -3*o + 5*p = -5. Let m = 3 - 2.5. Which is the third biggest value? (a) o (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*b + 19, 3*f - 3*b = 6 + 6. Solve -4*l - 5 = f*x + 2, -1 = l + x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -25*u**3 - 3*u**2 - 48*u - 3. Let v(c) = -25*c**3 - 4*c**2 - 48*c - 4. Calculate -4*h(k) + 3*v(k).\nAnswer: 25*k**3 + 48*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2734, -5605, -8476, -11347, -14218?\n\"Answer: -2871*r + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 38 + -28 + (-4 - (1 + 3)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (69 + -68)\/(1 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 24*t = 8. Suppose f + 4*x = 29, f - 1 - 18 = -t*x. Solve k - 4*k - f = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5880)\/16)\/(-15) - (-2)\/(-4). Let t(v) = -2*v + 18 + 4*v - h - 3*v. Give t(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v - 62. Suppose -84*n = -85*n + 14. Is d(n) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.32, -0.4, -296, -3\/4, 115\/4?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12111130 (base 4) to base 7.\nAnswer: 135436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6509422 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.9 - -5.2. Let z = i + 5. Put -0.1, z, -0.2 in decreasing order.\nAnswer: z, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttmtttltmtttmlt. What is prob of sequence tmll?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 234 - -5?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -195\/534818?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-9)\/(45\/25). Suppose 3*q - 2931 + 68 = -2*x, -s*x = 5*q - 4780. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96786?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 679*j - 683*j + 5520 = 0. List the prime factors of j.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8251*m**2 - m - 4. Let j be p(-5). Let o = j - -46746. Let i = -1789528 - o. What is i rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 8:10 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mglgapxalmagglm. Give prob of sequence aagg.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 19 = 2*w, 0*w - 3*w = 4*d - 26. Let l = -3 - w. What is the lowest common multiple of 3 and (-2)\/l + (-129)\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15768 - 15748. Calculate the least common multiple of n and 288.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -372870 divided by -6?\nAnswer: 62145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 2:55 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 29?\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38928107*i**2 - 80066749 wrt i.\nAnswer: -77856214*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 5:09 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548305681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 2*o**3\/3 - 105*o**2\/2 - 15*o + 2. Let b be q(27). Solve -b*w - 13 = -4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngyg when four letters picked without replacement from nynqgxgxyxqxvqyxny.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -514, -518, -532, -562, -614, -694?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(-1\/30)*j\/(((j\/j**(1\/4))\/j)\/j*j)*j*j*j\/(j**7\/j)*j)**(12\/5) assuming j is positive.\nAnswer: j**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**2 + 578*h**3 - 10 + 10 + 0*h**2.\nAnswer: 578*h**3 - 17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8860529 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-126)\/504*(-12360)\/3 is divided by 340?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight sevenths of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**3\/3 + 2*z**2 - 3*z + 4\/3 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 3 + 0*a + 0*a)*(-2*a - 2*a - 4*a)*(-4*a - a - a) in the form v*a + f + m*a**3 + n*a**2 and give m.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**7\/105 + s**5\/20 - 3*s**2\/2 - 2. Let t(b) be the second derivative of y(b). Find the third derivative of t(j) wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/11 (b) 1 (c) -1\/3 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -0.33, 3, 0.4, -2 in increasing order.\nAnswer: -2, -0.33, -2\/15, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20325, -20342, -20385, -20466, -20597, -20790, -21057?\n\"Answer: -2*s**3 - s**2 - 20322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3840*g = -1850*g + 29952 - 62610 - 268912 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 505670201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/977166 and -82\/33?\nAnswer: 10748826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3 + 331*p - 2*p**2 - 2*p**3 + p**2 - 308*p to o*p + s*p**2 + x*p**3 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, -146, -542, -1304, -2552, -4406, -6986, -10412?\n\"Answer: -20*b**3 - 3*b**2 - b + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 3:04 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*p)*(-4 - 1 + 2)*(5*p**2 - 1 + 1).\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a + 1. Let o be i(-3). Let d = 16 - o. Let v(x) be the first derivative of -x**4\/4 - 2*x**3 + 6*x + 1. Calculate v(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 23*n - 34. Calculate u(6).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 0 (c) 2\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 200.6 - 200.1. What is the nearest to 2\/3 in 7\/6, -7.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 356246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by ((-10)\/(-6))\/((-40)\/(-48)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 351 = -0*f - 3*f, -5*o = 5*f - 1725. Suppose o = 2*x - 4*x. Calculate the remainder when -1 - (x\/(-3))\/(-1) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 + 3. Let t(a) = -9*a**2 + 7. Let d(n) = 14*g(n) - 6*t(n). Let r(y) = y**2. Give r(d(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/27 and 29\/140499.\nAnswer: 421497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(7) + 1 + -2 + ((2*(sqrt(70) - -1*sqrt(70)) + sqrt(70))\/sqrt(10))**2.\nAnswer: sqrt(7) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5192733*a + 376206 wrt a.\nAnswer: 5192733","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 - 372?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:39 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -13. Let m = -320719\/28890 + 4\/2889. Let k = -23\/2 - m. Which is bigger: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from sxbebbgsebbbebaex.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 231 + -231.68. Let y = x + 0.88. Which is the nearest to -19? (a) 4 (b) 0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (12 + 20) - 24.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 1.4.\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 9:02 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -682837*r**4*w**2 + 3*r**3*w**2 - 58*r*w**2 + r*w - r - 239*w**2 + 1 wrt r?\nAnswer: -8194044*r**2*w**2 + 18*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10164209?\nAnswer: 11, 924019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 193907\/17898 - 2\/2983. Find the common denominator of j and 91\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 + -157. Solve w - 3*s = -0*w + m, -2*w = 5*s - 13 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*s**3 + 4*s**2 - 5*s**2 + 59*s**2 - 2*s**4 + 51*s**2 wrt s?\nAnswer: -48*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3*-6 - (-11562)\/(-2911). Is j equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*s**3 + 0)*(2 - 6 + 3)*(27 - 17 + 32) to t*s**2 + g*s**3 + c + n*s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/2? (a) 2 (b) -0.2 (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 17\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 3*c + 19. Calculate the remainder when 14 is divided by z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154\/224*-4*-4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2. Let u = 172 - 172. Let q(z) be the first derivative of 0*z - 11\/3*z**3 + u*z**2 + 2. What is g(q(r))?\nAnswer: 121*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16825980 rounded to the nearest ten thousand?\nAnswer: -16830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2007 is divided by (-125)\/(-600)*-8 + (-3010)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1\/(-3) - 160\/24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 6) in base 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, g: 3, m: 4, d: 3}. What is prob of sequence og?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -1961.66287439.\nAnswer: -1966.66287439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40138, -40092, -40010, -39886, -39714, -39488, -39202?\n\"Answer: q**3 + 12*q**2 + 3*q - 40154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19207*t**2 + 71*t - 9456901 wrt t.\nAnswer: -38414*t + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1738602 and 73\/3863560.\nAnswer: 34772040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2606 = -2*r, 4*k + r = -3*r + 2612. Calculate the remainder when k is divided by (-19175)\/(-50)*(-10)\/(-130) + 3\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/12*(-33)\/(-308)*-1?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 + 2*c - 1. Let f(t) = t**2 - t. Let g = -160 + 56. Let z = 103 + g. Give z*b(p) - 2*f(p).\nAnswer: p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*h = 280*h + 51433 - 168095. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.394 hours in minutes?\nAnswer: 4163.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5bb8d16 - -1?\nAnswer: -5bb8d15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.334853 to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u + 1. Let l(k) = -8*k. Let h(x) = 8*x - 1. Let s(g) = 6*h(g) + 4*l(g). Give -11*n(p) - 2*s(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 5 (c) -17 (d) -5 (e) -3 (f) 0.022\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5\/4 (b) 0 (c) -3 (d) 0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 341 and 154?\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (22 - (8 + -7) - -9 - -3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + z**2 + z**3 - 16*z**3 + 12*z**3. Give x(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 440 + -449. Which is greater: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2. Let y(a) = 11*a + 70*a + 74*a + 90*a - 48*a. Calculate u(y(m)).\nAnswer: 38809*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.676 rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 546, -14620, -45500, -92094, -154402, -232424, -326160?\n\"Answer: -7857*p**2 + 8405*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*h - 25 = 91, b + 32 = 4*h. What is the units digit of 1*((-901)\/(-5) + b\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 53075, 53979, 54883, 55787, 56691, 57595?\n\"Answer: 904*u + 52171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + -6.06. Let v = y + 10. Let m = -1 - v. Which is the biggest value? (a) 5 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 609 + -606. Let y(o) = o**2 - 8*o + 4. What is y(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*(-56)\/140?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-336)*(0 - 92))\/((-2)\/8).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1647000 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 6*d - 3. Let o(n) = 2*n**3 - 13*n - 6. Determine -4*o(t) + 9*r(t).\nAnswer: t**3 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 + 22*k + 58. Suppose -2*n + 3*y - 13 = 2*y, -4*n = 2*y + 6. Calculate the remainder when v(-3) is divided by 11*-4*1\/n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -315*x**3 - x**2 + x + 318*x**3 + 4 + 1939*x**4 - 1942*x**4 to l*x**2 + i*x**4 + k*x**3 + c + m*x and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 842*z - 851*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**7\/210 + v**4\/24 + 5*v**3\/6 + 2*v**2. Let u(h) be the first derivative of l(h). What is u(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4*w**4 + 6*w**4 - 3*w**2 + 0 - w**4 in the form d*w + c*w**3 + n + a*w**2 + j*w**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.07 + 0.07. Let z = s - -31.6. What is z rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/33869 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2)*(-1 + 4 - 2)*(i**5 + i**4 - i**4).\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14872293.\nAnswer: 3, 359, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -791400 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 118204 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144 - 144.000214. What is q rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -67710*f**3 + 1221*f**2 - 2442. Let w(y) = -111*y**3 + 2*y**2 - 4. Give -4*g(u) + 2442*w(u).\nAnswer: -222*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12110 and 24220.\nAnswer: 24220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*p + 2)*((-5 + 3 + 1)*(0*p**2 + 2*p**2 - 3*p**2) + 2*p**2 + 0*p + 0*p + 4*p**2 + 0*p**2 - 2*p**2).\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 72.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5*(-4 - 1). Let y(c) = 16760*c + 10. Let q be y(u). Suppose 0*h - q = -10*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3889, -3726, -3427, -2992?\nAnswer: -2421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = w - 2*q, q + 23 = -2*w - 2*q. Let x = 18 + w. Solve -7*i = -x*i + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32048002583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a (base 15) in base 16?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.27 - 3. Let n = 10.73 + b. Let i = 11.16 - n. Round i to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 447*z - 10. Is 37 a factor of g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3023602, 6046922, 9070242, 12093562?\n\"Answer: 3023320*s + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6\/7)*s\/(s\/(s*s**(-42)*s)*s))\/(s**(-23)*s*s**(-18)*s*s))**(23\/4) assuming s is positive.\nAnswer: s**(-621\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.4. Let m = l - 1.1. Do m and 0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 5:35 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/518085 and -11\/10515.\nAnswer: 363177585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h - 2 + 2. Let c be h - (-1 - (-1 - 24\/(-33))). Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/15 - 16\/105. Let n = -57.83 - -58. Let i = 0.33 + n. What is the nearest to w in 5, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 964517?\nAnswer: 5787102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011010010010101010001 (base 2) in base 8?\nAnswer: 113222521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 4*i - 4, -3*i = -m + 40 - 35 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -2*o - 28, 71*s - 72*s - 12 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/83 or 247522?\nAnswer: 247522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7243155 at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 1503012 and 1503036 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 - 4*r + 2*r - 42 + (2 + 2 - 2)*(0*r - 5*r + 4*r) to the form q*r + i and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.477 + -17.377. Let x = 17.5 + b. What is the third biggest value in 1, x, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8*r**2 - 8*r + 15. Give w(4).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, m: 7, s: 6, o: 1}. Give prob of sequence so.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 8 = -3*d. Let i be 25*1*(-3 + d). Suppose -4*n + 27 = -i. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n - 6. Solve -5*t - n*w = -23, 3*w = -4*t - w + 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 6*t + 14. Let j be h(6). Solve -3*y = -4*b + j, -9*y + 5*b = -4*y + 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*o = 40*o - 295792. Is o a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/16 + 10\/(-24). Is -2 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2817 + -1102. Is 22 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211 - -319. Let j(f) = f**2 - 22*f + 124. Let h be j(8). What is the greatest common divisor of w and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-3 - -9)\/1. Factor -2\/3*a**2 + 2\/9*a**3 - 10\/9*a - 4\/9 + 2\/9*a**i.\nAnswer: 2*(a - 2)*(a + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 503680266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16597*u**2 + 6*u**3 - 34258*u**2 - 5229*u**2.\nAnswer: 6*u**3 - 56084*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = -17*w - 448. Let v(h) = 45*h**2 + 18*h + 119. Is v(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bibi when four letters picked without replacement from {b: 6, i: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 699072 and 1016832.\nAnswer: 11185152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 462 + -473. Is 249 + -1*(-6 - u) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 16) to base 14\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1400*s**3 - s + 738*s**3 + 715*s**3.\nAnswer: 53*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 - (-11 - -7) - (1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26964 - 26961. Solve 2*j = -o*m + 13, 5*j - 10 = -22*m + 19*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 44. Let c = 10 + q. Suppose -3*n + c = 2*n. Solve -n*v - 14 = 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 + 7*s**2 - 3*s - 4. What is m(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 21. Let m = 1 + p. Let k(v) = -v + 11 - m + 0*v. Let g(w) = -w**2 + 2*w - 3. Calculate g(f) + 3*k(f).\nAnswer: -f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279287856?\nAnswer: 2, 3, 1939499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -167*f**3 - 664*f**2 + 15*f - 4. Let q be i(-4). Factor -15\/4*x**2 - 9\/4*x + q - 3\/2*x**3.\nAnswer: -3*x*(x + 1)*(2*x + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124293799 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 855 and -5.1.\nAnswer: 849.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from {t: 3, a: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1089\/2)\/(-11)*18\/27?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 + 7 = 0. Is (3\/9)\/(z\/1449) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3241408?\nAnswer: 2, 50647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 + 27*m**2 + 10*m + 7. Let h be w(-6). What is the second derivative of 0*c**2 - 13*c - c**2 - 489 + h - c**5 wrt c?\nAnswer: -20*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1971 and -38.61?\nAnswer: 38.4129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y = 41*y + 62*y - 1856 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97 (base 10) to base 12.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*s - 32*s + 20993. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31\/36 in 39\/8, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*r + 5. What is the smallest common multiple of r and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*q + 7 + 7, 2*q = -4*f + 26. What is d in 6*d - 18*d**3 + 0 + f*d + 6*d**2 + 19*d**3 + 8 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -64*d + 5*d**3 - 1 - 23\/3*d**2 - 1\/30*d**5 - 7\/6*d**4. Factor t(c).\nAnswer: -2*(c - 1)**2*(c + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1248)\/(-150) + -8)\/((-2)\/(-5))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 20.78. Let y = -0.12 + u. Let f = -451\/6 - -75. What is the third smallest value in y, f, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 3*q + 4. Let m be b(-3). Suppose -3*p = -2*p - 2*r - m, -2*r + 6 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/(-18))\/((-25)\/(-180)) - (-6 - -2). Solve 2*a - 3*b + 17 = 8, -3*a - l = -5*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/16*-10*(-9)\/315.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2116 divided by 2\nAnswer: -1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 2. Let j(o) be the first derivative of 0*o**2 + 0*o**2 - 1 + o**2. Let a be j(2). Determine f(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 9. Suppose 2*b = -b - 24. Let s be k(b). Suppose 5*r = 20, -4*i + 6 + 6 = 5*r. Sort i, s, 5 in increasing order.\nAnswer: i, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 33. What is the lowest common multiple of 1*((-484)\/(-11) + 0)*(-2 + 3) and y?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 1\/110*q**5 + 19 + 0*q + 0*q**3 - 1\/385*q**7 - 1\/1848*q**8 + 1\/132*q**6 - 1\/33*q**4 - 2*q**2. Solve b(t) = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1)\/((-3)\/(-9)). Let y be -10*(g - 420\/8). Suppose -14*t + 11*t - y = 0. Round t to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 t, 1 f, and 1 y when four letters picked without replacement from vqyfymyyyqfqtft.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 4*d + 4, -9*j - 2*d - 78 = 8*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-8)*x**(-30) assuming x is positive.\nAnswer: x**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 7*g + 11. Let m(l) = -l**2 - 12*l - 4. What is the units digit of m(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from {m: 1, d: 18, j: 1}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**36*r)\/(r\/(r\/(r*r\/r**(-2\/17))))*r**(-23\/5)\/(r\/r**45) assuming r is positive.\nAnswer: r**(6314\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(-4142*i**3 + 2 + 4164*i**3 - 2*i + 63*i**2 - 55*i**2).\nAnswer: -22*i**3 - 8*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + q + 96. Calculate the highest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16334912 is divided by 294?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202370 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -109031.646 - 527.4\nAnswer: -109559.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 280, 293, 332, 409, 536, 725?\n\"Answer: 2*m**3 + m**2 - 4*m + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/245 (b) 2 (c) 6\/899 (d) 5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 4*c + 24*c + 3*c.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + r + 4. Let h be b(-3). Suppose -10 = -4*v + 6. Suppose -v*c - 11 = 3*d, 5*d + c + 1 = 11. Solve z + d*t = 15, 5 = z - t + h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4 = 0, 9*w - w - w + 14 = -2*v - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26920921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -138.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, d: 9, q: 2, j: 2}. What is prob of picking 3 d?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7526 - 5480. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*p - 66, 0 = -2*p + 3*u + 12 + 52. Let b(f) = -f**3 + 35*f**2 + f - 32. Let m be b(p). Solve -13 = 4*x + m*q, 5*q - 13 = 2*x - 0*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rporurrrurruurpfuo. Give prob of sequence po.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13455*k**2 + 56143*k**2 - 247109*k**2.\nAnswer: -204421*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35b + 26?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6023813782 to the nearest integer?\nAnswer: 77613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -4*c**3\/3 + 6*c**2 + 23*c. What is the derivative of x(v) wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/147 - ((-6)\/(-13) + 50028\/(-99099))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -2\/15 (b) -31 (c) 2\/7 (d) 2\/17 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/15)*q*q*q**(-1\/7))\/(q**(6\/7)\/q)**(18\/11) assuming q is positive.\nAnswer: q**(521\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 9 = 15. Suppose 2 = 5*w + z. What is the second biggest value in 2\/3, w, -8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*r - 9 = 90*r. Suppose 2*t - r - 27 = 0. Solve 3*m - t = 6*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 a factor of 2722835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-3*((-35)\/(-5))\/(-49)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 12:38 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2 - (10 - 17 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000559 rounded to seven decimal places?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxfffxxpx. Give prob of sequence fpf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -356*k - 2*k**2 + 713*k - 357*k. Let n(d) = -1 + 5 - 3 + 16*d + 0. What is n(x(t))?\nAnswer: -32*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**3 - 27*s**2 - 16*s + 2. Let m(p) = -p**3 + p**2 - 2*p - 1. Let o(j) = 2*m(j) + t(j). Factor o(v).\nAnswer: -5*v*(v + 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -14*c**5\/5 - 3*c**3 - 3*c**2\/2 - 10*c + 5. Find the second derivative of k(g) wrt g.\nAnswer: -336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -336 + 347. Let y(d) = 5*d**2 - 9*d + 22. Does 33 divide y(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - g**2 - g. Let i(o) = -11*o**3 - 2*o**2 - o. Let v(y) = -i(y) + w(y). What is the third derivative of v(m) wrt m?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + -10 + -4 - -121. What is the greatest common divisor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*t = 20, 4*f - 2*t = 2*t - 20. Suppose -8 = -b - f. What is the highest common factor of 16 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*x + 156*x - 2448 = 0. What is the smallest common multiple of 238 and x?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 185.89 and 12?\nAnswer: 173.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 952 and 111928.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8362 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/3)*b*b)**(1\/3))**(4\/5)*((b**(-2\/5))**31)**15 assuming b is positive.\nAnswer: b**(-8338\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -518949451*n**5 + 6610079*n**2 + 28*n wrt n?\nAnswer: -31136967060*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*o = 10694, x - 75*o = -74*o + 2675. Calculate the highest common factor of x and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1474714, 2949428, 4424140, 5898850?\nAnswer: 7373558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(1 + 6 + 27)*(3*o + 0*o - 4*o).\nAnswer: -68*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.42 - 47.\nAnswer: -48.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(60) - sqrt(120)\/sqrt(2))*2 - sqrt(60))*-5)\/(-4*((sqrt(1200) - sqrt(1200)*3) + sqrt(1200))))**2.\nAnswer: 5\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*l - 3*v - 12, 2*l - 5*v = 47. Suppose 0 = 7*h - l*h + 12. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (-50 + 11 + 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -44, -3\/5, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.959 - -17.259. Sort -0.01, 5, 3, s, -2\/35 in ascending order.\nAnswer: -2\/35, -0.01, s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2130964 and 836?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 7 = 3*v. Let f(n) = 1. Let m(p) = -2*p + 9. Let h(t) = t - 4. Let o(l) = 13*h(l) + 6*m(l). Let s(y) = f(y) + o(y). Give s(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/7*(-5)\/(360\/(-16)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-2)*6\/(-9). Let n(l) = 2*l**3 - l**2 + l - 1. Let d(x) = -2*x**3 + x**2 - 2*x + 2. Let h(m) = 4*d(m) + 5*n(m). Is h(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -252*q. Let b(w) = 23*w. Give 56*b(x) + 5*s(x).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005230193 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 7) + (0 - 1) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*o = -250 - 326 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from gnegyog?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 113. Let i = -24 - y. Calculate the greatest common divisor of i and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 239600 and 44600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -127bb?\nAnswer: 127b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1511 divide 3671256986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 6:54 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2056272?\nAnswer: 2, 3, 42839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -4\/9, 3\/2, 5, 1, 99340\/13?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2874 and 90259407?\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1260.258558 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/53 at least as big as -840?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g*v*y + g*v - 3*g*y**2 - 7*g*y - g - 3651545*v*y**2 + 5240*v*y wrt y?\nAnswer: -6*g - 7303090*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -47*g - 253. Give y(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**3 - t**2 + 45*t - t**2 - 1 - 44*t + 2*t**4 as g*t**3 + b*t + l*t**4 + y + i*t**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -102784, -205564, -308344, -411124?\n\"Answer: -102780*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 129*f - 20. Let x(n) = 10*n**2. Give i(x(y)).\nAnswer: 1290*y**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -63?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a**5 + 4698*a**4 - 52437*a**3 + 58428*a**2 + 421764*a + 114480 = 0. What is a?\nAnswer: -2, -2\/7, 5, 9, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1542\/13 + -9239\/78. Factor -1\/6*l - 1\/6*l**2 + p*l**3 + 1\/6.\nAnswer: (l - 1)**2*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -23. Let q = -103\/4 - -26. What is the closest to q in 0, -3, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 16*d**2 + 14*d - 15. Let z be v(-15). Suppose -9 = -m + 6. Suppose m = a - z*a. Solve -3*h + 0*h = -a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -11. Solve h - 10 = t*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -2 (c) -14.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15175.990997 - 15176. Round b to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*x = 234*x, -2*x + 19 = 2*h + 39 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 10 = -10*a + 7*a, -2*a = -4*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(7) + -1)*-6 + sqrt(14)\/sqrt(2)*3)**2.\nAnswer: -108*sqrt(7) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3\/7 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (sqrt(208) + sqrt(208) + 0)**2 + sqrt(208)) - ((sqrt(208) - -2*sqrt(208)) + -1 + -2 + (sqrt(208) - (sqrt(208) + sqrt(208)*-2)) + sqrt(208))**2.\nAnswer: -4165 + 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-1)*(-89)\/178)\/(-2). Suppose 0*v**2 + 24\/5*v - 6\/5*v**3 + w = 0. What is v?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*v**2 - 4)*(122*v - 124*v + 237*v)*(0 + 2 - 1)*(2 - 7 - 2) - v**3 - 2*v**3 + 0*v**3.\nAnswer: 3287*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 + 2*i**2 - 696*i - 80. Give g(-19).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.354 - 20.834385. Let l = w + 1.48. Round l to 5 decimal places.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79546?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -157.00063 + 157. Round k to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3902*z = 3910*z - 4*k - 72, -22 = -3*z - k for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 179*o**2 - 6 + 30 as r*o**2 + z + x*o and give r.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 12\/25 of a kilogram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 0 - (11 + (-25 - -14) + 12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -8*68383.21\nAnswer: -547065.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4295807*m**5 + 6*m**3 + 95793599*m**2 wrt m.\nAnswer: 257748420*m**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3759 + 755. Is c not equal to 4513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 0.463.\nAnswer: 1.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 952 = 11*t. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*t**2 + 3*t**4 - 6*t**4 - 59*t**2 - 4*t in the form w*t**2 + x + f*t**3 + h*t + k*t**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(98) + 4 + sqrt(98) + (sqrt(98)*1 + 4 - (-1 + -1*sqrt(98))) + 1.\nAnswer: 10 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0, 7, -5 in descending order.\nAnswer: 7, 0, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0607 and -1064739.\nAnswer: -64629.6573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 785580205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -33*a - 10. Let h(m) = -13*m - 5. Let g(j) = 5*h(j) - 2*t(j). What is g(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a factor of 182950044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -233718622 and -233718623 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddduuxuludu.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 162, -24555 in descending order.\nAnswer: 162, -4, -24555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 38. Let r be m\/(-4) - (-51)\/12. Solve -5*k + 3*d - 40 = 0, -r*k = -5*d + 38 + 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*r + 361 = 2*j + 127, 0 = -4*j + r - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3119\/110 - 423\/11. Let n = -4037\/12 + 1263\/4. Find the common denominator of u and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*c + 4 = 185*c + 2*n, 4*n + 6 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(153) - ((4*sqrt(153) + sqrt(153) + sqrt(153))*1 + sqrt(153)))\/(sqrt(9072)\/sqrt(7)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/275)\/((-1)\/(-5)). Let t = 67\/44 - p. Suppose t*u**2 + 0 - 1\/2*u = 0. What is u?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7294 divided by 14?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**6\/30 + d**5\/10 - d**4\/12 - d**3\/3 - 20*d. Find f such that a(f) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + u)*(-3 - 4 + 5)*(-6 + 1 + 2).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eellllel. What is prob of picking 1 l and 1 e?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f - 8. Let o(k) = -k**3 + 7*k**2 - 4*k - 5. Let u be o(5). Solve -f*g - u = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + d**2 - 1. Let o(x) = 26*x**3 + 8*x**2 - 8. Calculate -o(b) + 8*y(b).\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-768)\/(-8)*(-2)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*j - 48*j + 21. Let g be 6\/(-5)*5\/2. Let o(s) = s**2 - 3*s + 2. What is the remainder when o(g) is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 5*l + 4*l)*(-3 - 6*l + 13*l + 21*l) - 14*l + 15*l + 60*l**2 - 13*l**2.\nAnswer: 19*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4. Let q be (-32)\/(-63) - (-2)\/(-7). Suppose 0 = -2*n - 3*f - 1, 0 = -f - 3 + 4. What is the closest to s in q, -4, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u*u**(3\/2))**45\/(((u*(u*u\/u**3)\/u)\/u)**(-11\/2))**(-36) assuming u is positive.\nAnswer: u**(297\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 102633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, q: 11}. Give prob of picking 1 e and 3 q.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*v - 25098 + 393795. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.28 * 0.09364.\nAnswer: -0.0262192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -21*t**2 + t - 105. Let z(q) = 4*q**2 + 21. Determine 2*l(o) + 11*z(o).\nAnswer: 2*o**2 + 2*o + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 46.4755+1.6\nAnswer: 48.0755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 (base 11) in base 15?\nAnswer: 1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/22896 and -169\/125928?\nAnswer: 251856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/18)\/(32\/(-10085952)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -3303, -18 in decreasing order.\nAnswer: 20, -18, -3303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = t + q - 3, 3*t = 4*q + 8. Let p(f) = f**2 - f + 10. Give p(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 - 2*s + 10*s - 8*s**2 - 5 + 4*s**3. Let l be u(7). Which is the smallest value? (a) -2\/5 (b) -0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cch. Give prob of picking 2 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 731.2261 grams to milligrams.\nAnswer: 731226.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/27 (c) -0.1 (d) -1.19 (e) 0.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l + 28. Let n be s(6). Let o(h) be the second derivative of 0 + 1\/12*h**n + 2\/3*h**3 - 2*h**2 - 2*h. Calculate o(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/7967 or -1?\nAnswer: -3\/7967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzemtonzzzennnzzz. Give prob of sequence mtnn.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13491, 26996, 40501, 54006, 67511, 81016?\n\"Answer: 13505*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1378 divide 26964511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62133546, -248534181, -559201906, -994136721, -1553338626, -2236807621?\n\"Answer: -62133545*m**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/12*(-2)\/(-3). Let q be ((-926)\/(-1389))\/(-2 - (1 + -1)). Which is the closest to -4? (a) x (b) -1\/6 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*d = 439*d + 390 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*b = -16, -t - 5*b = 24 - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-11643)\/(-2910) - 4)\/(-17 + (-26128)\/(-1520)) and 67\/24.\nAnswer: 6984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*u + 417*u = 183*u + 1054 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2141 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 - 50. Let p(j) = -j + 5. What is the remainder when h is divided by p(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 25955?\nAnswer: 181685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 28*j**2 + 9*j**2 + 12*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*d + 150 = 0, 0*d + 118 = 3*p - 5*d. What is the highest common divisor of 1116 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 883.3421 days in seconds?\nAnswer: 76320757.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -343, -1106, -2555, -4918, -8423?\nAnswer: -13298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17747 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321951 is divided by 321433.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/5258 and 13\/4?\nAnswer: 10516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**3 - 337*l**3 + 113*l**3 + 103*l**3 + 113*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 125*y**3 + y**2 + 14*y - 15. Give f(1).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, k: 6}. Give prob of picking 4 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33.4 from 0.1665.\nAnswer: -33.2335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -777019056*o**2. Let w(a) = a. Determine z(w(j)).\nAnswer: -777019056*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1218 + 4?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -28.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*-2*-74*111\/(-8214)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 222 + -72. Suppose -2*r = -4*r + i. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13.3, -338.3134 in descending order.\nAnswer: 13.3, -3, -338.3134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/20)\/(-2*(-21)\/(-140)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 - 13*x**2 + 6*x + 12*x**2 + 11*x**4 - 6*x + 2*x as w + z*x**3 + b*x + j*x**2 + a*x**4 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/2)*i**(-37)*(i**(-2))**(-21\/4) assuming i is positive.\nAnswer: i**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 268684?\nAnswer: -268685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - 33616?\nAnswer: -335aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/24)\/((-16)\/(-3)). Let y(j) be the second derivative of 0*j**3 - b*j**2 + 0 + 1\/48*j**4 + 2*j. Factor y(u).\nAnswer: (u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 836.0581 + -0.0581. Let b = k - 769.1. Round b to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 617*u**2 - 30840*u - 474. Calculate p(50).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + j + 33, 22*q - 9*q = 17*j - 19*j + 123 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-21) + (-6)\/(-21). Suppose 0 = -5*j - c, j + 0*j - 2*c = u. Let z be 12\/(-2)*10\/(-15). Solve j = r + z*r - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 4:27 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3424316 is divided by 1712149.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 4:42 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k*k**(-1\/11)*k)\/k)\/k))\/k**25 assuming k is positive.\nAnswer: k**(-263\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 6*r - 376 + 241 = 0 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 6 + 2)*(d**3 - 3*d**2 + 3*d**2) - d**3 + 2*d - 2*d - d**3 + 2*d**3 - 18*d**3)*(6*d**2 - 2*d**2 - 2*d**2).\nAnswer: -40*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98*k - 11*k + 654 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 2 - 2 + 2*s - 5*s + 2*s + (s + 3*s - 2*s)*(1 + 1 - 3) + 14023 + 10*s - 8*s - 14266 to p + w*s and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, w: 1, v: 4}. Give prob of picking 4 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791*i**3 - 800*i**3 + 2221*i**3 - 629*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/5 + 190231038*z**2\/5.\nAnswer: 2*z**2*(z + 95115519)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*v, -3*v + 4 = 5*n - 15. Let m be 1 - v\/(8\/36). Solve -o = 2*d - 4*o - 5, 2*o + m = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.029 - 25.971. Let p = 29.9 + f. Let i = p + -3.8999983. What is i rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 45, -13, -109, -255, -463?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k - n - 831, -k = -5*n + 399. Round k to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -26) + -75 + (1 - -20).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 848 - 240. Suppose n = g + g. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175\/(-75)*(-3)\/(-14)*-3\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 346626099*j**5 + 152979868*j.\nAnswer: 6932521980*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 87?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcgcccvvvvv. Give prob of picking 1 c and 3 v.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -53296 and 0.3136092.\nAnswer: -53295.6863908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/7)*u\/(u*(u\/(u**(2\/5)\/u))\/u*u*u))\/(u*u**(-4)*u*u*u*u**7) assuming u is positive.\nAnswer: u**(-351\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-2 - 2) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39, 140, 301, 516, 779, 1084, 1425?\n\"Answer: -h**3 + 36*h**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485817574.\nAnswer: 2, 11, 19, 1162243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 163463 to the power of 1\/2, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110882 is divided by 1194.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 111644?\nAnswer: 111650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562928629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, q: 4, j: 1, k: 1, c: 6}. What is prob of sequence cf?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -160\/7 (b) -0.18 (c) 4\/7 (d) 7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/16723301 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 1\/12*c**4 - 5*c + 0 + 3\/2*c**2 + 0*c**3. Let p(m) be the first derivative of s(m). Let y(x) = 2*x. Give 2*p(b) - 3*y(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93888 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 1953?\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/24*(-4)\/5. Let j(i) = 4*i**2 - i. Let q be j(1). Put q, h, -3 in increasing order.\nAnswer: -3, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10 - (-27)\/(-2700)*(-675)\/(-30)\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/(-5) + (-2)\/5. Suppose j*g - 3 = g. Calculate the lowest common multiple of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76171450 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 755009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173 minus -2?\nAnswer: 2175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -563, -564, -565, -566, -567, -568?\n\"Answer: -d - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7713941l in millilitres?\nAnswer: 771.3941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u + 22 - 220 = 54 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 2613*o**3 - 597840*o**2 - 12404544*o.\nAnswer: -3*o*(o + 23)*(o + 424)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152 - -107. Let q(y) = -y**3 + 10*y**2 + 3*y. Let w be q(5). Let x = o + w. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -275 - -276. What is the closest to c in -0.1, 0, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.1 + -17. Let d = l + 0.9. Suppose 0*j = 2*j. What is the closest to -1 in d, 3\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 25*o - 424. Determine z(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2.1 (b) -1\/3 (c) -2 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 226, 608, 1164, 1888, 2774, 3816?\nAnswer: 5008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by -189?\nAnswer: -25\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 19 (c) 3491 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -7*z**4\/6 + 252*z**2 - 2*z - 266. Find the first derivative of h(l) wrt l.\nAnswer: -28*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.2109915 rounded to two decimal places?\nAnswer: 14.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.1, -0.02, 5, 0.17?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 1. Let b(o) = -6*o - 100. Let m be b(-17). Put h, -1, m in ascending order.\nAnswer: h, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.914 + -284.514. Let w = i + 282. Which is the nearest to -0.2? (a) w (b) 1 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 28*h**2 + 7*h + 7. Let s(i) = 9*i**2 + 2*i + 2. Determine 6*f(m) - 21*s(m).\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -472655*p**3 - 1180*p**2 - 118*p - 3.\nAnswer: -2835930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38792363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -40*f + 1. Let b be z(-1). Suppose 0 = 4*o - 27 - b. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2\/43, 0.2, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 4 (c) -6803.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v*v*v*v**5)*v**(-6)\/v*v*(v**(-2))**47 assuming v is positive.\nAnswer: v**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**8\/1344 + c**7\/420 + c**6\/80 - c**5\/60 - 13*c**4\/96 - c**3\/4 - 21*c**2 + 4. Factor k(y).\nAnswer: -(y - 3)*(y - 2)*(y + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.5392921 to one decimal place.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/7 - 1269*a**3 - 80074*a**2\/7 + 58416*a + 1067040\/7 = 0. Calculate a.\nAnswer: -12, -2, 5, 8892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 - (62 + -68)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 1:43 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.23407ms to nanoseconds.\nAnswer: 15234070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x + 5*x**5 - 5*x - 5*x wrt x.\nAnswer: 100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/1485 + 2\/154*26?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2350 by -470.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/2)\/5 + 12. Suppose -178 = -d - 2*v, c*d - 10*d - 4*v = 160. Is d a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 3:35 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 3*f + 13, 1 = 44*v - 43*v - 4*f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/(-240))\/7*14829\/88974.\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from {i: 2, r: 3, p: 1, m: 3, j: 2, a: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**5\/20 - 4*t**4\/3 - 5*t**3\/6 + 29*t**2\/2 - 11*t. List the prime factors of a(-16).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1235\/9 + -9853\/72. What is x in 0*x + z*x**4 + 1\/8*x**5 - 1\/2*x**2 + 0*x**3 + 0 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab0 + -c?\nAnswer: -abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 870209214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.5 + -23.5. What is the fourth smallest value in 1, 4, h, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 58992, 118028, 177074, 236136, 295220?\n\"Answer: d**3 - d**2 + 59032*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*5)**2 + sqrt(539))*1.\nAnswer: 7*sqrt(11) + 13475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12516046199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*1\/2*16. Suppose -5*p = -2*d + t + 10, 3*d + 2*p = 1. Calculate the highest common factor of 2 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (127545452\/280 - (-12)\/(-21)) + 8\/80 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.2. Let h = -8115\/8 + 1014. What is the nearest to -1\/3 in p, -0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3477647705351 and -0.86?\nAnswer: 3477647705350.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22940*j**5 + 418*j + 39 wrt j.\nAnswer: 458800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 31116.\nAnswer: 217812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, x: 2, q: 3, k: 3}. Give prob of sequence kl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 238829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 22054697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3240 and 734940?\nAnswer: 4409640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16179622.\nAnswer: 2, 29, 71, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 434554\nAnswer: 434554.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9898 = 24*t + 1882. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3045967 + -3045956.000024. Let n = s + -11. Round n to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 728*l**3 + 676 wrt l?\nAnswer: 2184*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {o: 2, q: 1, c: 3, t: 2, y: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1130, -1092, -1290, -1844, -2874, -4500?\nAnswer: -6842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -17*l + 196. Let a be 14\/(6\/3 + 8)*5. Calculate the lowest common multiple of 14 and p(a).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*x = c - 10, -3*c = -6. What are the prime factors of (24\/3)\/x - -415?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237714 divided by -1?\nAnswer: -237714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o - 16 = -v, -5*v + 66 = -3*o. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r - 0*r + 540. Suppose 0*s = -s - q + 11, 5*s + 4*q - 50 = 0. Suppose 2*n = s*n - r. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 335143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5676951?\nAnswer: 3, 7, 83, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 76*g**2 + 150*g + 457. What is k(78)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561683377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -155 - 2*g + 491 + 466 + 448 + (4 - 4 - 2*g)*(-5 + 5 - 2) + g - 4 + 4 - 3*g - g + 2*g + g + 2*g - 5*g.\nAnswer: -g + 1250","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) -2.08 (b) -3 (c) -5\/6 (d) -5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -67, 2, 7 in increasing order.\nAnswer: -67, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**4*g*g*g\/(g**(-3\/8)*g)*g**(-1)*g\/(g\/g**(-3\/2)) assuming g is positive.\nAnswer: g**(31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/5 - (-2)\/(-10). Let o(f) be the first derivative of 3 - g + 0*f**2 + f**2 + 2. What is o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0 - 1\/42*r**7 + 0*r**6 + 0*r**4 + 0*r + 2\/15*r**5 + 0*r**3 + 2*r**2. What is the third derivative of d(x) wrt x?\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1242, 1419, 1896, 2823, 4350, 6627, 9804, 14031?\nAnswer: 19458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 14 = -4*b, -2496 = 2*b + 4*l - 2506 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -87, -83, -89, -111, -155?\n\"Answer: -y**3 + y**2 + 8*y - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 108 + -105. Let b be (-2)\/3 - (-2)\/j. Solve 5*o - o - 12 = b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -61. Put -6, 4, u, -0.07 in increasing order.\nAnswer: -6, u, -0.07, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**15*d**22 assuming d is positive.\nAnswer: d**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/5, -0.9, -1\/171, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*n - 3)*(-2 + 5 - 2)*(28 - 10*n - 28) to the form l*n + g*n**2 + t and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**5\/90 + w**4\/36 + 3*w**2\/2 - 3. Let u(o) be the second derivative of i(o). Factor u(x).\nAnswer: -2*x*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -2\/3 (c) -60 (d) -2\/15 (e) -0.1 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.033512 to three dps.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10046 (base 7) to base 8\nAnswer: 4603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 4, -0.1, 2, -3, 4625\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -153900 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -94427, -188854, -283281?\n\"Answer: -94427*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -10*w. Let z(u) = -2*u + 6 - 6. Determine z(g(v)).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43a5 (base 12) to base 16.\nAnswer: -1d2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tut when three letters picked without replacement from {z: 3, s: 4, u: 2, t: 6}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -992 - -1354. Let i(l) = k*l - 184*l - 190*l. Let q(m) = m**2. Calculate q(i(h)).\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 226 and -2.1.\nAnswer: -474.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162354 less than or equal to 22084704\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/99*-2*(-3)\/1.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -1)\/((-2)\/6). Let t = -9.888 + -0.012. Let r = t - -10. What is the closest to r in h, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 74 - 197*i - 265*i - 70*i wrt i?\nAnswer: -532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 516 and 64887.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 9 + 2)*(-1 - 35 - o - 5)*(-o - o + 0*o)*(-5*o + 2*o - 2*o) as n + r*o**2 + t*o + p*o**3 and give r.\nAnswer: 4100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*r**5 - 212*r**4 + 707*r**3 - 412*r**2 - 68*r = 0. What is r?\nAnswer: -17, -2\/15, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 45 = -2*g. Let s(y) = -4*y**2 + 25*y + 33. Let v(k) = k**2 - 6*k - 8. Let w(i) = -2*s(i) - 9*v(i). Let d be w(5). Solve d = 5*j - g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011011100100 - 1010011100000?\nAnswer: -1100101111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.66 + 5.66. Let o = -1 + 1.2. Sort -0.1, o, z in decreasing order.\nAnswer: o, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59698?\nAnswer: 2, 19, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 19*h**2 + 20*h + 21. What is a(-18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42597 + -42592. Let r be (2\/(-6))\/((-1)\/3). Solve 5*q + 5*m + 0 = h, -3*q - m = -r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2950842 divided by -6514\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 11 = 4*r - 5*t, 3*t - 4 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.1 - -10?\nAnswer: 30.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/23, -20\/13, -0.29?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 + -39640679195244\nAnswer: -39640679195244.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - 2*g**3)*(-2*g + 2 - 2) + (-2*g**2 + 0*g**2 + g**2)*(-12*g**2 - 8 + 8).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u + 3. Let m be i(5). Let n = -48 - m. Let o = 15 - 31. Is o greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19b8a88 (base 12) to base 14.\nAnswer: -a250a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i*i\/(i\/(i\/(i\/(i\/i**(3\/8)))))))\/(i**(1\/6)*i)*i**(2\/9)*i**(-5))**(-50) assuming i is positive.\nAnswer: i**(15425\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 89, 104, 133, 182, 257?\n\"Answer: x**3 + x**2 + 5*x + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.8 + -4. Let d = -3 + 3. Let h = d - r. Is h less than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105769214720 minus 1?\nAnswer: -105769214721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 331 or -1\/452?\nAnswer: -1\/452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2432, -19426, -65556, -155390, -303496, -524442, -832796, -1243126?\n\"Answer: -2428*u**3 + 2*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76 or -5.1721?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j + 10 = 0. Suppose j*p + 106 = 388. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/13)*q)\/(q**(2\/11)\/q))\/((q*q**(1\/4)*q*q*q)\/(q\/(q*(q\/((q\/q**5)\/q))\/q))) assuming q is positive.\nAnswer: q**(-4339\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 4. Suppose 5 = h, g = f - 2*h - 20. Is 25 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, y: 6}. What is prob of picking 2 y?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/54 and -9\/2.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15, 1, 19, 33, 37, 25, -9?\n\"Answer: -q**3 + 7*q**2 + 2*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6256 - 0.3.\nAnswer: 6255.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 680*u - 244*u + 3783*u.\nAnswer: 4219*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 566514*h**3 - h**2 - 524436*h wrt h.\nAnswer: 3399084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (sqrt(40)\/(sqrt(20)\/sqrt(4) + sqrt(5)) - (-1 + sqrt(72)))**2).\nAnswer: -40*sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*q + 7959 - 8239 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -208, -17, -2, -5.\nAnswer: -208, -20, -17, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1415138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -225*m - 16239 + 8589 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -22408, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*(sqrt(5103)*-2*-4 + 0 + sqrt(5103)*2 + sqrt(5103))*6)**2.\nAnswer: -3200928192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 6*o + 8. What is d(4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, s: 2, o: 6, r: 4, n: 1}. What is prob of picking 2 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*v + 25*v + 465 = 0. What is the greatest common divisor of 20 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2020, -4055, -6090, -8125, -10160?\n\"Answer: -2035*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + (-1 - -1) - (123 + -70)) + 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83787335?\nAnswer: 5, 631, 26557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4)\/c)**(-7))**(-8\/9)*((c**(-3\/5))**(-21\/4))**(-29\/2) assuming c is positive.\nAnswer: c**(-27643\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61726, -123447, -185182, -246937, -308718?\nAnswer: -370531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 8474933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 13. Let x(v) = 31*v**3 + 6*v**2 + 5*v + 1. Let g be x(r). Let q = -562 - g. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 9) to base 14.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - -27.95. Let f = -27.68 + s. Does f = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3 + 5\/21. Is -1 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4653 divided by 151\nAnswer: 4653\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13523350 (base 7) to base 8\nAnswer: 4651552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 5*o. Let g be u(3). Suppose -12 = 2*q - g*q. Let b be q*(4\/1 + -2). Solve 0 = 2*v + 4*d - 10, 3*v - 5*d + b = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 33. Is (21\/84)\/(5911\/(-2956) + d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2048 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**4\/5 - 399354*o**3\/5 - 399356*o**2\/5 = 0.\nAnswer: -1, 0, 199678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**6*z - 10*u**4*z**3 - 8*u**3*z - 2*u**2*z**3 - 8*u**2*z + 5 wrt u.\nAnswer: 120*u**3*z - 240*u*z**3 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 199 - 88. Suppose z = -23*b + 26*b. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1080014\/59 > -18304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.029 - -1.079. Let r = -0.05 + z. Let x = r + 4. Which is the third smallest value? (a) -5 (b) -1\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 38*j**2 + 51*j - 27. What is s(-39)?\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4943\/4 at most as big as 1237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17133*m - 11286 wrt m.\nAnswer: 17133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 - 7578.\nAnswer: -7577.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - 1) + 75 + -85?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o. Suppose g + 1 - 4 = o. Suppose y = -3*l + l + 3, -3*y = -g*l. Are l and 1\/14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**5\/30 + 25*f**3\/3 + 819*f**2. Let k(n) = -3*n. What is k(a(j))?\nAnswer: -6*j**2 - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.00017 at most as big as -37.265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-12)\/7)\/(-4 + 106225\/26558)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**3 + 1092655*q**2 - 17483565*q + 42616665 = 0.\nAnswer: -218547, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 8625?\nAnswer: -1\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5303656 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 + 2*r. Let x be l(-2). Let b = 21 + x. Let s(w) = -w**3 + 8*w**2 + 9*w - 9. What is s(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/(-6)*4\/3*1491\/2485.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -12.4. Let g = 1.304 - 0.014. Let y = g - 51.29. Sort t, y, -3 in decreasing order.\nAnswer: t, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1406978 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7))**12*v**(-13)*v*(v\/(v*v\/v**(1\/2)))\/v)**29 assuming v is positive.\nAnswer: v**(-5655\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 18*p - 43. Let k be b(-15). Solve 3*c + 8 = 5*u - 20, k*u - 10 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11439 is divided by 3402.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 + (3 - (-44)\/(-16)). Let x(h) = h**2 + 7*h + 6. Let m be x(-6). Is q > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(8\/7)\/w*w**(-12))\/(w**(2\/7)\/w**(2\/5)))**(-1\/23) assuming w is positive.\nAnswer: w**(411\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88150814 * -5.\nAnswer: 440754070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 0)*(-12)\/10. Let p(v) be the first derivative of -v**4\/4 + 2*v**3 + v**2\/2 - 3*v - 5. Let k be p(h). Solve -t - 2 = k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t + v = 77, 89*t - 87*t + v + 9 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 29*a - 163. What is the remainder when p(23) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3 - (-5819)\/(-2256). Let u = 9\/47 - b. What is the common denominator of u and -101\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + w + 0)*(-5*w + 1 - 1)*(400675*w - 243*w**2 - 400679*w - 49*w**2).\nAnswer: 1460*w**4 + 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 11. Let d be b(-11). Let n(m) be the third derivative of 1\/96*m**4 + 1\/240*m**5 + d*m - 2*m**2 + 0 + 0*m**3. Suppose n(r) = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/16 and -97\/6607354?\nAnswer: 52858832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 3056.\nAnswer: -916.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -15*o - 10. Let n be a(5). Let u = -36 - n. 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 smaller: 427\/4 or 172?\nAnswer: 427\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2021*s**3 + 5893*s**2 + 534*s + 12. Let m(k) = 2019*k**3 - 5892*k**2 - 533*k - 12. Let i(c) = -3*b(c) - 2*m(c). Factor i(t).\nAnswer: (t - 3)*(45*t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-24)\/6))\/(1\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -98\/13?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(10\/4)*7\/7. Let v(p) = -22*p + c + 14*p + 7*p. Let b(n) = n**3 + 2*n - 3. Calculate -2*b(h) - 3*v(h).\nAnswer: -2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8012*h**2 + 28166*h*u - 601233692*u wrt h.\nAnswer: -16024*h + 28166*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - 8. Let h be q(6). Suppose -4*k - 9 - 4 = 3*t, 0 = 2*k + h*t + 14. Which is smaller: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5 + 11. Suppose 8*z - 6*z + 971 = -l, o*l = z + 498. Which is smaller: -487 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1387 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1080415 litres to millilitres.\nAnswer: 108.0415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**7\/210 - 23*w**4\/6 + 113*w**3\/6 - 193*w**2\/2 + 147*w. Let f(x) be the first derivative of y(x). Differentiate f(l) wrt l.\nAnswer: 4*l**3 - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4040 (base 5) to base 14\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**4 + 3 - j - 4*j**4 - j**4 + 9*j**2 + j**4 wrt j?\nAnswer: -12*j**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27176.4+-0.08\nAnswer: 27176.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.05 - 0.05. Let y = g + -2.5. What is the third biggest value in -4, 5, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*m**3 + 115*m - 110*m - 457*m**3.\nAnswer: -150*m**3 + 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08900161 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 1:15 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331033 - -30?\nAnswer: 331113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/63 and 5\/168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -7?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/(-55) - 2226\/(-385) and -3\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8809203*g*n**3*r + 2159*g*n**2 + 9*g*r - 7*n**2*r wrt n.\nAnswer: -52855218*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -527, -1062, -1609, -2174, -2763?\n\"Answer: -n**3 - 528*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -2 - (-1 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5356056 and 345552?\nAnswer: 10712112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220 - 112111010001?\nAnswer: -112110222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4351\/2 - 2177. What is the nearest to 0 in 1, 63, i, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 525 and 4515?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37018343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 369 + -185. Suppose -4*s - 2*x - 8 - r = 0, -104 = 2*s - 3*x. Is s less than or equal to -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 15\/4 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 705 a factor of 8006685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/16)\/((-4)\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*m - 6 + 52, m = 4*c + 7. Let q be (-1)\/(2 - m\/(-6)). Suppose -q = -2*b + 4. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8368*z**2 + 9854*z**2 - 11036*z**2.\nAnswer: -9550*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 119*z. Let r(g) be the third derivative of 0 + 11*g**2 - 1\/24*g**4 - 2*g + 0*g**3. Give r(p(o)).\nAnswer: -119*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(468).\nAnswer: 2 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-38)\/50 - -1)\/((-14)\/(-35)). What is the biggest value in 0.4, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d\/d**(1\/2))\/d*d))**(-4\/5)*d\/d**(2\/3)*d**(-1\/4)\/d assuming d is positive.\nAnswer: d**(-127\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-22) - 6\/(-33). Let d = 43.27 + -43. Let v = -1.27 + d. Which is the third smallest value? (a) 1\/5 (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -23*d**2 - 206*d + 112. Give l(-8).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*x + 58*x + 30*x.\nAnswer: 331*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*o - 47*o - 113*o - 318*o.\nAnswer: -695*o","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -1 - 2. Let w(x) = 4*x - 1. Let f be w(u). Solve -3*m + 12 - f = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 10. Suppose 12 = -t*n - 13. Let w(b) = b**2 + 6*b - 1. Let v be w(n). Let f(z) = -z**2 - 5*z + 7. Determine f(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 - 3720\/(-1 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8220 - -8219. What is the fourth biggest value in k, 2, 0.2, -4, 3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915338.6ng in grams?\nAnswer: 0.0009153386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182260 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 4*z + 3. Let x be f(4). Let b = -6 - -6. Suppose -x*v + 5*r = -34, b = -4*v + v + 3*r + 36. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*j + 75 = 5*d, 3*j = 2*d - 50. Suppose d = 9*s - 4*s. Suppose 0 = -3*l + 5*l - n - 59, -2*n - 145 = -s*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(3*6\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**3\/3 + 9*g**2\/2 - g - 1. Let i(c) = c**2 - c - 48. Let o be i(8). Does 2 divide v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8 - ((-139)\/(-2224) + 2\/(-32)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 32\/(-14))*-7. Let y be (-9)\/d*-6*(-4)\/18. Find g such that 3*g**2 + 5*g - y*g + g - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82363 is divided by 499.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -117\/2*b + 0 + 3\/2*b**2.\nAnswer: 3*b*(b - 39)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - 1.6. Let y = q + 1.8. Sort 0.3, -1, y.\nAnswer: -1, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + l)*(-15*l**2 - 29*l**2 + 13*l**2) - 2*l**2 + 2*l**2 + 4*l**3 in the form b*l**3 + n + w*l + x*l**2 and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -t + 113, 2*t - 4*o - 527 = -3*t. Find the third derivative of 155*l**2 + 0*l - 12*l**2 + t*l**5 + 0*l wrt l.\nAnswer: 6420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 9*k**2 + 10*k + 9. Let i be j(-10). Let n be 20\/6*i\/6. Suppose -3*w = -n*f + 13, 0*f - 4*f + 4 = 4*w. Do -1 and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*q = -15, -5*q = -8*q - 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 37 = -4*w - 13, -3*y = 2*w - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*o + 4*o. Let f(b) be the first derivative of 3\/2*b**2 - 5 + o*b - b**3. Factor f(w).\nAnswer: -3*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (1 + -2)) + -27 + 1685. Suppose -5*y + w = 3*t, -y = -6*t + t + 2748. Is 50 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*((2*sqrt(204) - sqrt(204)) + sqrt(204) - sqrt(204)))\/sqrt(12).\nAnswer: 2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 16*r - 21. Let d be i(15). Let v be ((-56)\/d)\/(2\/117). Is (v\/(-65))\/((-2)\/10) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from jjjjjjjgjjjjj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1456*v - 1502*v = 1794 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 1. Let z(f) = -10*f - 2. Calculate -2*p(i) + z(i).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*u = 2*u - 24, -k = 5*u + 42. Let t be 1 + -1 - 4\/k. Sort -0.2, 0.4, t in decreasing order.\nAnswer: 0.4, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*m + 10 + 10 + 10 + m**2 + 12 - 41 to x*m + k + t*m**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**2 - 9*n + 1. Let p(z) = 8*z + 4*z**2 - 2 + 1 + 5*z. Give 5*p(q) + 7*y(q).\nAnswer: -q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 12. Suppose -5*n + m = -38 + 9, -m - 4 = 0. Let c be z(n). Solve -l - 3 = 0, -p - p = -3*l - c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1257 - -102312?\nAnswer: 103571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 94612\/1635 - (-2)\/15. Sort 2, -2, x, 0 in increasing order.\nAnswer: -2, 0, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1326*b - 23815. Determine p(-19).\nAnswer: 1379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -242, 17, -11.\nAnswer: -242, -11, -4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8207.185 litres to millilitres.\nAnswer: 8207185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15376823 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: What is the units digit of 87508469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 16467 = -0*t - 5*t, -1 = h. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-4\/11)*n*(n**5\/n)\/n*n)**(3\/26)*((n\/(n*n**13*n))\/n**(-2\/15))**(-2\/45) assuming n is positive.\nAnswer: n**(266801\/193050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 3*d + 10. Suppose 3*t = 11 - d. Suppose -t = -5*l + 7. Solve 2*p - 1 = -4*k + 7, -k = -l*p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 21. Let y be ((-4)\/q)\/(0 + (-1)\/5). Solve 5*i = -2*a - 18 + 4, y*i + 17 = -a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-50)\/(-14) + (-3)\/(-7). Suppose 15 = -2*b + u, 3*b - 5*b - 18 = -y*u. Let q = b + 11. Solve 4*v + 15 = r, -q*v - 2*r - 17 - 13 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 4:21 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3\/2 - 5*y**2\/2 - 33*y\/2 - 27\/2 = 0.\nAnswer: -3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3. Suppose 45 - 39 = 2*s. Let c(p) = 3*p - 12. Let m(q) = s*c(q) - 12*k(q). Let o(b) = -b. Calculate o(m(f)).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 4\/3, -4, -7480, -0.07?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g. Let l(b) = 5*b**2. Give l(m(f)).\nAnswer: 125*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7746 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(117) - (sqrt(117) + -3*-2*sqrt(117) - sqrt(117)))\/((sqrt(486)\/sqrt(3) - sqrt(18))\/(1*(sqrt(6)\/sqrt(3) + sqrt(2)))).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**5 - 27*w**3 + 842*w**2 + 570*w + 8 wrt w?\nAnswer: 40*w**3 - 162*w + 1684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6)*(57600\/2500)\/(-96)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5460588 and 3780.\nAnswer: 27302940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 2:48 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2609826 - 4580244308\/1755. Let d = 4\/135 - h. Is d at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - t - 4, 0 = 4*b - 2*t - 2*t + 8. Let p be -43*(1\/b + 0). Suppose 5*h - g = 234, p = h - 6*g + 2*g. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/5 (b) 3 (c) 101 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/2 - -3 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (1 + 8 + -5 + -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8562 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5cbbe (base 15) to base 8\nAnswer: -1102527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30600776?\nAnswer: 2, 37, 67, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/6, -2\/5, -2, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4*p - 25, 0 = 3*s + p - 6 - 9. Suppose 0 = 2*f - 0*f - 4*k - 184, 20 = s*k. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54868990?\nAnswer: 2, 5, 11, 73, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(924\/(-40))\/(-11)*70\/(-84)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4, -2479, 469, -1 in ascending order.\nAnswer: -2479, -4, -1, 0.1, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-320))\/7*8.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/4))**(-1\/13)\/(n\/n**(1\/4))**(10\/3)*(n**(-4)*n**(-2\/5))\/(n\/(n**(1\/2)\/n))**(12\/5) assuming n is positive.\nAnswer: n**(-551\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -227*v + 9084. Calculate x(40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 12. Suppose -13*s = 4*s + 17. Let q(a) = 1. Calculate s*h(m) - 6*q(m).\nAnswer: 2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/46)\/(3046\/(-385319))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 7, g: 2, k: 2}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 59*u - 51*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 21. Let w be (-550)\/x - 2\/2. What is the greatest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2804 = 2779, -5*b + 44757 = 2*j. Calculate the greatest common divisor of 106 and j.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787491334 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -72.9109 times 0.8\nAnswer: -58.32872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfafc. What is prob of sequence ff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-229330)\/497)\/(-170))\/((-2)\/294*3).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146 + 61. Let f = 85.1 + b. Let s = 0.26 - -0.14. Which is smaller: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -136\/195 + 2\/65. What is the closest to -2 in p, 0.2, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233 (base 9) in base 16?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 594117442 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(891) + 4)*-1*-1)**2 + -5)*-3.\nAnswer: -2661 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(((-4)\/(-9))\/(14\/(-21))). What is the units digit of (159\/w - 2)*(-4)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -13*i**2 - 15*i - 57. Let z be j(-8). Let a = z - -2478. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 67, 1, 3 in ascending order.\nAnswer: -3, -2, 1, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/140 and 68\/3060735.\nAnswer: 85700580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 times 0.01699?\nAnswer: -0.030582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8*q = -11*q + 2553, 2*h = 2*q + 1714. Let f be (-1 - 1)*14\/(h\/(-1)). Which is the biggest value? (a) 5 (b) f (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 72? (a) -0.128 (b) 2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030344 (base 6) to base 11.\nAnswer: 35093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5344521 is divided by 80977?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 345*t**2 - 952392 + 952392 in the form l*t**2 + d + f*t and give l.\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 17*c + 9. Let n be r(-7). Let h = n - -159. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.036 < 173904?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612994150?\nAnswer: 2, 5, 19, 645257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, o: 2, e: 4, n: 1, w: 2, c: 3}. What is prob of sequence ep?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 3 + 5)*((-2*x - x + 2*x)*(-2 - 3 + 2) - 19*x + 6*x + 5*x - 2*x + 1 - 1) to f + u*x and give u.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 2*t**2 - t + 2. Let c(n) be the second derivative of -n**5\/20 - n**4\/2 - n**3\/2 - 21*n**2\/2 + 39*n + 1. Let g be c(-6). Give a(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 802 (b) 5\/2 (c) 2415\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.44 - 0.06. Let g = k - -2.46. Which is the third smallest value? (a) 1\/8 (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43817 (base 10) in base 7?\nAnswer: -241514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 1\/2, -38, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -194*v - 26. Let u(x) = 242*x + 25. Let t(p) = 4*u(p) + 5*w(p). Give t(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q + 1. Suppose 6*c - 3*c - 6 = 3*u, -5*c - 4*u = -1. Let h be z(c). Factor 12*w**4 + 9*w**3 + 2*w**2 + 11 + 5*w**h - 11.\nAnswer: w**2*(w + 1)**2*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15353, 15397, 15439, 15479, 15517?\nAnswer: 15553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 0*v - 32\/5*v**5 + 4\/3*v**3 + 2*v**2 - 1\/4*v**4 - 37. Find the third derivative of c(y) wrt y.\nAnswer: -768*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 33071281.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = -3. Suppose 0 = -2*g + 6*p - 5*p + 3, -5*p - 1 = -3*g. Solve 0 = 4*n - 5*l + 8 + g, -f*l = 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j = -2*q + 130, 4*j + 245 = 3*q. Let c = 1309 + -1307. Suppose c*g - q = 143. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxoy when four letters picked without replacement from {b: 2, o: 4, y: 2, h: 8, x: 4}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 1. Let i(s) = -12*s + 15. Determine -i(d) + 15*k(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50428140?\nAnswer: 2, 3, 5, 7, 120067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}