diff --git "a/data/dm_maths/full_data/10540_11255.jsonl" "b/data/dm_maths/full_data/10540_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10540_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -w - 5*u - 1 = -2*u, 4*w - 12 = -4*u. Suppose 0 = 4*v - 3*v - w. Solve m + 2 = 5*o, 11 - 1 = -3*o - v*m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/(l\/l**(-2)))\/(((l**(-3)\/l)\/l)\/l*l*l*l*l*l*(l*l**3)\/l) assuming l is positive.\nAnswer: l**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -5*w**6\/18 - 6*w**5 - 40*w**4 - 800*w**3\/9 + 151. Factor z(d).\nAnswer: -5*d**2*(d + 4)**2*(d + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 23 = -3*l - 0*w, w = -l - 7. Is 6 a factor of (-153)\/l - (0 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*t**4 + 25*t**3 + 955*t**2 + 5.\nAnswer: -936*t + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5 - 330852*z**4\/7 - 264809328*z**3 + 1193822424608*z**2\/7 - 26015046619680*z - 52127591363136\/7 = 0 for z.\nAnswer: -12114, -2\/7, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.138377491 and -7989.\nAnswer: -7989.138377491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x**(-20))\/x))\/x**(-4\/9)*x**(-21)\/((x*x**(3\/7))\/x) assuming x is positive.\nAnswer: x**(1\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 620*g**2 + 2*g. Let c(o) = o**2 - o. Let h(w) = 4*c(w) + 2*l(w). Let j(x) = x. Calculate j(h(z)).\nAnswer: 1244*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2433503 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 12*c + 80.\nAnswer: -2*(c - 4)*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 - 46*s**2 - 34*s - 89. What is the hundreds digit of x(25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2289833083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74? (a) 3\/4 (b) 0.3 (c) 5 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -18*m + 10. Let f(i) = -8*i + 3. Let a(x) = 5*f(x) - n(x). Let u(t) = t - 1. Give a(w) + 6*u(w).\nAnswer: -16*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + a - 4*a - 13 = 0, a = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92737 - -186707. What is x rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342268 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134*u**2 + 253*u**2 - 151*u**2 + (4 + 2*u - 4)*(u + 2*u - u) - 2*u**2 - u**2 + 5*u**2 + 5*u**2 + 0*u + 0*u to m + q*u + i*u**2 and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(300))**2 + 1)*5*1.\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/15 and -109\/27350.\nAnswer: 82050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72418*g**4 + 27*g**3 + 12269409 wrt g.\nAnswer: -289672*g**3 + 81*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 12.99. Let n = i + 0.02. Let r = -3.97 + -0.03. Sort r, 5, n.\nAnswer: r, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1.24\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2386704 to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.4 and 0.0329.\nAnswer: 0.50666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*4\/(-8)*1*-1. Let y = 2 + -1. Let i(r) = 3*r + y + 1 + 2. Give i(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/((5808\/72)\/22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 2*b**4 - 5*b**3\/3 - b**2 + 4*b - 14. Calculate the lowest common multiple of 12 and x(2).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21379724 is divided by 977?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*c - 93*c + 280 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 10*r**2 - 15*r + 17. Let w be u(12). Suppose 2*k - 3*z - w = 0, 0 = -5*k + 5*z + 13 + 287. List the prime factors of k.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2652.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = f - 7. Let a(q) = 43*q**2 + 3*q + 5. Let n(v) = 129*v**2 + 8*v + 14. Let c(d) = 7*a(d) - 2*n(d). Is c(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 132, 133, 134, 135?\n\"Answer: r + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43994 is divided by 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -149a043 + 0?\nAnswer: -149a043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206964 divided by 22996.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 34358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158690970.\nAnswer: 2, 3, 5, 1181, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/11688 and -115\/92694606.\nAnswer: 370778424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 15, 3*r - 13*f - 30 = -10*f. Let l(y) = y**3 - 2*y**2 - 3*y - 2. Let n = 6 + -1. What is the remainder when l(n) is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 18. Let d be (-9)\/(-27) + q\/1. Which is the closest to d? (a) 2\/7 (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 5*b + 33 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l - j = -29*l - 44, l + 24 = 4*j for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 9 + 7 - 9*s**2)*(2*s**2 - 2*s**2 - s**2) to the form z*s**4 + a + i*s**3 + o*s + t*s**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*y + 75, 9*y + 149 = 2*l + 4*y. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/12)\/((-8)\/12). Is j less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1518 divided by -25\nAnswer: -1518\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 10. Let g be q(-9). Which is the biggest value? (a) -0.5 (b) g (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 7*s**2 + 4 - s**2 + 7*s - 3*s - 2*s**2. Let n be f(4). Suppose n - 8 = 4*d. Solve -2*m + 5*k + 2 = 0, 5*k + d = 4*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10046, 4254, -1538, -7330?\nAnswer: -13122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101734211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2505*i**3 - 2 + 3910*i**3 + 2.\nAnswer: 6415*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 11*m = 23, -319*t - m = -324*t + 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -47. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -524, -0.13, -5\/2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6322931 is divided by 2107637.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 3*y + 4*n, 4*y = -y + 4*n - 53. Let g = y + 15. Solve 3*s = v - 9, -g*v + 5*s + 22 = 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**3 + w - 1. Let l(n) = -42*n**3 + 7*n**2 + 7*n - 6. Let y(h) = -l(h) + 6*m(h). Let b(d) = 8*d**3 - 2*d**2. Determine -7*b(j) + 2*y(j).\nAnswer: -8*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -131618*b. Let i(z) = -4*z. Determine l(i(h)).\nAnswer: 526472*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.5, -58\/3, 0.1 in ascending order.\nAnswer: -58\/3, 0.1, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21710 and 38637287.\nAnswer: 2171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 28*b = 27*b + 6, b - 6 = 4*l. Solve -11*i - 5 - 61 = l for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 71 + 46. Does 10 divide 8\/2*v\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**4 - 3*i**3 - 3*i**2 - 1. Let s = 8 + -11. Let l(t) = -3*t**4 - 4*t**3 - 4*t**2 - 2. Let c(b) = s*l(b) + 4*n(b). Differentiate c(g) wrt g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000941 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 138*b - 68*b - 2*b**3 - b**2 + 5*b**2 - 3 - 72*b. What is s(3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 2*z + 3. Let d be j(0). Suppose d*b - 236 = -b. Calculate the remainder when b is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 + 62. Solve -4*c + 5*q = 28, 0 = -i*c + 4*q - 0*q - 24 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.985 + -4. Let x = 306593 - 306593.0150039. Let u = x - r. Round u to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46\/10 - (-6)\/15. Let w be (x - -605) + 1\/(-1). What is the common denominator of 46\/7 and -2 - -1 - w\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 247, 381, 531, 703, 903?\nAnswer: 1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -4, 0.4, -65?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 769*r + 1438 + 314 = 214 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6*f + 12 = 0. Let y(u) be the first derivative of -4 - 5\/2*u**2 + 1\/3*u**3 + u. Give y(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3279.1*-54\nAnswer: -177071.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/19 - 96*i**2\/19 - 102*i\/19 + 196\/19.\nAnswer: 2*(i - 49)*(i - 1)*(i + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 0 + (16\/(-36))\/2*-6. Which is the second smallest value? (a) -0.1 (b) p (c) 2\/13 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -65, -1, 254, 3 in descending order.\nAnswer: 254, 5, 3, -1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + c)*(c + 0 - 26 + 1).\nAnswer: 2*c**2 - 50*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - ((-476)\/(-17) - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 3*l + 6. Determine y(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 4 = -l + 4, 4*l = -5*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 306242\/95 - (0 - 4\/10). Calculate the highest common divisor of 104 and f.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21842.64 years?\nAnswer: 2184.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5625 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 1 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -191, -2, -5, -300 in descending order.\nAnswer: -2, -5, -191, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = 1. Suppose 0 = n - w - 1. Let o be -2 - ((-6)\/n - -3). Let u(j) = -j - 1. Give u(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f + 99. Let u be n(16). What is the greatest common divisor of u and 1015?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105272724 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from bkbatbabttktt.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 4. Give k(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 + -7 + 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1431 + (10 - (-5 + 8)). Let w = l - -9759. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 5*n - 5. Let h be (0 - (1 + -1)) + 7. Let f = h - -7. Suppose -z + 2*q + f = z, 4*q - 7 = -3*z. Give b(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/d**(-14\/9)))\/d)**(-1\/3) assuming d is positive.\nAnswer: d**(14\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*i**2 + 11*i**2 - 6*i**4 + (6*i**2 + 0*i**2 - 4*i**2)*(2 + 0 + 0 - 2*i**2).\nAnswer: -10*i**4 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12613*b**2*h**2 + 4*b**2*h + b**2 - 291*b - 2*h wrt h?\nAnswer: -25226*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2897?\nAnswer: 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*x - r = -237*x - 4*r + 51, 23 = 5*x + 2*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (44 - (-89 - -55)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*b - 142 = 0, 2*z + 2*b - 58 = 76. List the prime factors of z.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60499759 by 3.\nAnswer: 60499759\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198400984 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/4 - 76449*o - 13888875.\nAnswer: -3*(o + 182)*(o + 101750)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 10*l. Solve -5*r = -3*p - 37, 4*p - 3*r + 0*r + 31 = l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/60 - 5*t**4\/12 + 5*t**3\/3 + 19*t**2. Let h be f(9). Let n(i) = -15*i. Determine n(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6140402 and 3335?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 206502.94990266 + -206503. Let n = 0.0501 + f. Round n to 7 dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/8*(-36)\/15. Let a(n) = 5*n**2 + 2*n - 8. Let u(i) = -5*i**2 - 2*i + 9. What is o*u(f) + 7*a(f)?\nAnswer: 5*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.059157 times 0.5\nAnswer: 0.0295785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 6*v + 1. Suppose 4*i = 7*i - 3. Calculate the remainder when i is divided by z(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -1467*a**4\/4 + 3233*a**3\/3 + 2342*a. Find the second derivative of f(k) wrt k.\nAnswer: -8802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 12*n**3 + 29*n**2 + 16*n + 35. What is the units digit of m(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -3, 0, -7, -1700, 3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(1671*o**5 + 1579*o**5 - 3493*o**5) - 3*o**5 + 2*o**3 - 4*o**3 + o**5.\nAnswer: -245*o**5 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwwwiwriiiwg. What is prob of picking 1 r and 2 i?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((-4)\/(-12))\/(6\/360)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3691 + 5850 = 166*u - 4149 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24640 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019602472 rounded to four decimal places?\nAnswer: -0.0196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.494 + -0.494. Which is the nearest to 6? (a) 5 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.1753 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24, -28, -40, -60, -88, -124?\n\"Answer: -4*z**2 + 8*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 5*o + 83. Let i be (36\/o)\/((-642)\/8). Let g = -1299\/1070 + i. Which is the third biggest value? (a) -0.2 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -0.3. Let c = 1 - 0.9. Let a = g - c. Is a > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 5671*z + 0*z**3 - 5679*z - 3*z**3 + 2*z**2.\nAnswer: -3*z**3 - 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 45 (b) -5 (c) -5\/4 (d) 1 (e) 1437 (f) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 6*z**2 - 6*z + 6. Let v be n(-7). Let b(m) = -m + 8. Let r be b(6). Let x(l) = -9*l**2 + 31*l**r - 3*l + 4*l - 13*l**2 + 1. What is x(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 17. Determine m(7).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2628 - 9*i - 2628. Let a(y) be the third derivative of 0*y**3 + 0*y + 3*y**2 - 5\/12*y**4 + 0. Determine 4*a(p) - 5*v(p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + x = 4, -3*x - 17 = -5*u - 7*x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2474335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 - 4\/(-24))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**6\/120 + t**5\/60 - t**3\/6 + t**2. Let d(j) = -4*j**3 - 7*j**2 - j. Let z = 5 + -8. Let i(k) = z*c(k) - d(k). Give i(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c + -4?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.375146 micrometers to millimeters.\nAnswer: 0.006375146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98436 and 4108?\nAnswer: 7776444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) - (sqrt(17) + (sqrt(17)*1*3)**2)) + (-1 + sqrt(153) - sqrt(187)\/sqrt(44)) + -2.\nAnswer: -615 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**5 + 10*j**4 + 1907*j**2 + 332207*j?\nAnswer: -40*j**3 + 120*j**2 + 3814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -188, 1, -13, -3577?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42280*r - 42282*r = -1808714. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 + 113 = 16*r + 70 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 23*f + 67. Let a be q(21). What is the greatest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1224184 and 28\/153023.\nAnswer: 1224184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2966 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114322 a multiple of 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2504864355 and 5971?\nAnswer: 5971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 864*p**2 + 10*p + 3. Let l(t) = -1297*t**2 - 16*t - 4. Calculate 8*d(y) + 5*l(y).\nAnswer: 427*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/38 (b) 5 (c) -0.423 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*1 - (-4416)\/1440. What is the second biggest value in -1, i, -2, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 27. Suppose -3*w - i + 3 = 0, -5*w = 3*a - 110. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + -525. Let k = l - -808. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 55\/3 of a day?\nAnswer: 26400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3 + 3)*(5 - 5 - 4*l)*(2 - 6 + 3).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 4*h - 3*h)*(16 - 11*h - 16) + 11*h**2 - 17 + 17 + h**2 + 0 + 5 - 4.\nAnswer: 34*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 108*b - 11. Let f(h) = 108*h - 10. Let s(r) = 6*f(r) - 5*g(r). Let x be s(3). Let p = x - 174. Calculate the remainder when p is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 + 1 + 22*w + 3*w**2 - 2*w**2 + 4*w**3 + 5*w**3 + w to the form g + k*w**3 + z*w**2 + n*w and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 5*z**4\/8 + z**3\/6 + 3*z**2. Let y be b(2). Factor -29*x + y*x + 3*x**2 - 4*x**2.\nAnswer: -x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1223 or -1231?\nAnswer: -1223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*169573970\nAnswer: 33914794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11567822 and 3963002?\nAnswer: 7604820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 4 - -7)\/2. Let h(x) be the first derivative of a*x**2 + 3*x - 8*x - 4 + 7*x. Differentiate h(g) wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -44. Let l be u\/(-2)*-4 + (-8)\/2. Solve -2*t + l + 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 + 5)*(-4)\/(-12))\/(1724\/2586).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1, -108021 in descending order.\nAnswer: 13, 1, -108021","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 42. Let i = -6 + 9. Let m = 0.27 + 3.73. What is the smallest value in m, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2*f + d - 70 + 57 = 0, f = d - 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzphzhppuphhphhhhz. What is prob of sequence ppzu?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 26, -27, -132, -307?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (15\/(-10) - -3)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eex when three letters picked without replacement from xxxxexxxxexeexexexx.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (104 - (-46090)\/(-440)) + 33\/(-4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in 3\/7, -0.3, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 93*a**2 + 99*a + 314. Let k be y(-3). Is k > 853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*u**3 - 34*u**3 - 27*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 243552 (base 8) to base 15\nAnswer: 19c7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 n, and 2 u when four letters picked without replacement from hjjunhhahtuthhh?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 32\/(-1 - 3). Suppose -4 = p - s. What is the units digit of 2\/(p\/(4575\/10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 5:29 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 952 and 272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3540213 + -20213?\nAnswer: -4000430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62.7 + 15423956.\nAnswer: 15424018.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-9 - 7 - -13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -3460\/1203?\nAnswer: -3460\/1203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -45182498305.\nAnswer: -45182498304.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*i = 657*i - 8904 + 1704 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4075.474 centimeters in meters?\nAnswer: 40.75474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*w = -644 - 386, -408 = -2*a - 2*w. Is a a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2327.1294 minutes?\nAnswer: 38.78549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/5 (b) 122 (c) 0.4 (d) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.94 - 0.06. Let t = 2.1 + 1.9. Which is the smallest value? (a) i (b) 3\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014960017 to 6 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21212.\nAnswer: 2, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k + 2. Let h(j) = -1. Let c(m) = 3*h(m) + x(m). Let t be c(-2). Suppose -t + 31 = b. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 14*b + 193. Let r(x) = -x**2 + 24*x + 376. Calculate 7*q(j) - 4*r(j).\nAnswer: -3*j**2 + 2*j - 153","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 935 = 937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 41024*m - 41025*m - 2, 2*m + 2*r + 39 = -3*r for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 - (29 + (0 - 5)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2010084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.08 plus -26?\nAnswer: -29.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31179?\nAnswer: 3, 19, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-1) + (1 - 2). Sort 1\/3, 4, q.\nAnswer: q, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 288, 1100, 2436, 4290, 6656?\n\"Answer: -z**3 + 268*z**2 + 15*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n + 8. Let z be (-8)\/(-5) + n\/(-20). Let q = z + -1. Let h(t) = -t. What is h(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74*v**3 + 2*v**2 + 9*v wrt v?\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*g**3 - 52*d**3*g - 919*d**3 - d**2*g - d*g - 58368*g**3 wrt g.\nAnswer: 12*d**3*g - 350208*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2624316794?\nAnswer: 2, 11, 5507, 21661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cif when three letters picked without replacement from gfigiggiggiciii?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -47*n - 177. Let q be -2 + -1*(-1)\/(-1). Is n > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 109*o**2 - 2045*o - 39723. Give z(-123).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 + -131. Let x = 3 - 4. Let g be (x + 5)*9\/(-12). Sort -5, g, t in ascending order.\nAnswer: -5, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 154509067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -14, 24.\nAnswer: -14, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83.17618 + 5.\nAnswer: 88.17618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkrkrjjr. What is prob of sequence rk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, n: 3, h: 5}. What is prob of picking 3 n?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 288947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-33)\/(-99))\/((-1)\/3). Which is bigger: -1\/18 or l?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 4.8. Let n = q - 5. Let x = 1.8 + -2.1. Which is bigger: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y. Let c = -48 + 51. Let n(s) = -8*s + c*s**2 + 8*s. What is n(m(k))?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nncnncccnn. What is prob of picking 2 c and 2 n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/13)\/b)\/b**(2\/33))\/(b\/b**(-2\/3))**(2\/57) assuming b is positive.\nAnswer: b**(-23603\/24453)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y**2 - 6*y**2 + 3*y**2.\nAnswer: 23*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/33631 and -55\/117?\nAnswer: 302679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3)*19)\/((-125)\/(-375)). Solve y*i - 304 = -57*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v = 37*v - 3*n - 49, 10 = 2*v + 2*n. Solve -2*t = v, -4*u + 135 = t + 139 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2556 (base 9) to base 10.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321641249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 100 = 4*r. Suppose 0*m = -5*m - r. Suppose 1 = 5*g + 11. What is the second smallest value in g, m, 3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-1 - -3 - -10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 3) + (2 + (-12 - -5))\/(-1). Which is greater: -7\/1269 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t = -50. Let v = t + -11. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*y + 206, 70*y - 322 = 65*y - 3*m. What is the greatest common divisor of y and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-6)\/80*-1). Let p be (-7)\/2*(a + 6). Suppose 3*h - 5*o = 75 + p, 0 = 5*h + 2*o - 282. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3750225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 13*v**2 + v + 17. Let c be q(-13). What is the third derivative of 0*d**2 + 12*d**3 + 15*d**5 - 12*d**3 + c*d**2 wrt d?\nAnswer: 900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or 2131\/59?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8418475 centuries?\nAnswer: 84.18475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - -0.4. Which is the nearest to 6? (a) 0 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccppxcxpcc. What is prob of sequence xp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-40)\/6)*27*62\/14880.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -310.10656 - -310. Let s = 0.111 + c. Round s to 4 dps.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 - (-4 + 1)\/(3\/104)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (400\/(-40))\/(4\/6)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Let o be (-66)\/(-6) - (-6)\/(4\/2). Suppose -5*c = -2*u - 0*c + o, 17 = -q*u - 2*c. Let m(h) = h**2 + h + 2. What is m(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + -3*3*sqrt(720) - ((sqrt(720) + (1 + sqrt(720))*-1)**2 - 3*-1*sqrt(720))) + 3.\nAnswer: -3 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, -1\/8, -1\/58, -0.09?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 5*b - 40. Let o = -9 + 13. Is b not equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 194, 452, 818, 1292, 1874, 2564?\nAnswer: 3362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 2*n**3\/3 + 6. Let s(c) = -c - 2. What is t(s(i))?\nAnswer: 2*i**2 + 8*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35164 is divided by 151.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 220840463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**3\/2 - 4723*n**2\/2 + 297968*n - 295606 = 0.\nAnswer: -4846, 1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 12:38 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -423, -0.275, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-11)\/(-330)*(-10)\/3\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(833))*-4 + (sqrt(833)*-1 - sqrt(833)) + -5.\nAnswer: -42*sqrt(17) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 2, 2\/7, -4\/67 in descending order.\nAnswer: 2, 2\/7, -4\/67, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + d**2 - 3*d - 6. Give g(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2984, 4450, 5886, 7292, 8668, 10014, 11330?\nAnswer: 12616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22202100020 - 1022112?\nAnswer: 22201000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g = 3. Let p be (1 - 1)\/(g - 0). Suppose p*z - z = 0. Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -24*t + 72 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (118*c - 1621 + 1621)*(-2*c**2 + 0*c**2 + 3*c**2) as v*c**3 + u*c**2 + q + n*c and give v.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 34, 73, 150, 277?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*j**3 + 60584*g**3*j - 14*g**3 + 260*g**2*j**3 - 11934*g**2*j - g*j**3 wrt g?\nAnswer: 6*j**3 + 363504*j - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 0.23, -5, 4\/7?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -123.904 + 123. Let c = l - -0.024. Let j = -0.12 + c. What is the second smallest value in -3, j, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 5:16 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**4 + 539512*h**3 - 18358020244*h**2 + 11191189133040*h - 1721116406595600 = 0.\nAnswer: 309, 67130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -221, -441, -661, -881?\n\"Answer: -220*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1461 and 13.\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**4\/20 - 31*a**3\/3 + 6083*a**2\/10 - 5929*a\/5 - 323. Factor m(c).\nAnswer: (c - 77)**2*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(22) + (sqrt(792) - (3*sqrt(792) + sqrt(792))))\/(sqrt(99)*1 + sqrt(11)) + -1)*6)**2.\nAnswer: 306*sqrt(2) + 2673\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2835.1 and 176.90953018.\nAnswer: -2658.19046982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -0.1. Let q be ((-203)\/(-70))\/((-1)\/4). Let p = q - -12. What is the third smallest value in b, p, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-10522847\nAnswer: 4209138.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59081*d**5 - 578*d**2 + 68*d wrt d?\nAnswer: 3544860*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 8*g - 5. Let v be c(-7). Let t(n) = 10*n - 10*n + n**v. Let r(p) = -4*p**2. Determine r(t(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70588458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, z: 2, c: 2, r: 6}. What is prob of sequence zcci?\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -89804 divided by -2041\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1060 = -51*x + 62. Solve 4*i - 3*l + 5 - 8 = 0, -x = 4*i + 2*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*o**6 + 16064*o**4 - 200*o**3 + 971*o**2 + 419503*o + 1 wrt o.\nAnswer: 1920*o**3 + 385536*o - 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u - 44. Is i(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v + 3 - 1 - 414*v + 215*v - 1040*v.\nAnswer: -1216*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3 - o + 0 + 6. Suppose 3*m + 5*f = 2*f + 42, 0 = -m + 4*f - 11. Let x be i(m). Solve x*t - 9 = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 3, 0, -3\/162322 in decreasing order.\nAnswer: 4, 3, 1, 0, -3\/162322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15797\/14928 + 4\/933. Let q = n - 387\/560. What is the common denominator of q and -26\/11?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4097 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.07, 0.4, -1\/3, -3.\nAnswer: -3, -1\/3, 0, 0.07, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zssz when four letters picked without replacement from ssssssssssssssssszs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, 2, -8, -18, -28?\n\"Answer: -10*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2. Let l(r) = -14*r - 17*r + 26*r. Determine l(p(w)).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 times 383?\nAnswer: 1340.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + 51. Let x be j\/(-140) + 4\/14. Let a be 3\/(-5)*(-2)\/(-3). What is the nearest to a in 1\/7, x, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Which is the second biggest value? (a) 1\/2 (b) -1\/3 (c) 2 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*k + 22 = 0, -s + 6 = -3*k - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 1:33 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**3\/3 + o**2\/2 + o - 2. Is u(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 18 = -2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3951521 is divided by 177.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.21 + -2.2100412. What is f rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/204 and 67\/61778.\nAnswer: 370668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15144 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 14*i - 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0*c + 0 + 1\/10*c**5 - 4*c**2 + 0*c**4 - 1\/6*c**3. Find the first derivative of n(o) wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150718038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2. Let c(r) = -3*r + r - 5*r + 1964*r**2 - 1967*r**2. Determine l(c(k)).\nAnswer: 18*k**4 + 84*k**3 + 98*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaayaaaaaaayyaa. Give prob of sequence yaa.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 181*k**4 - 252 + 252 + (0*k**2 + 3*k**2 - 4*k**2)*(5 - 5 - 2*k**2) in the form m*k**2 + s*k**4 + r*k**3 + l*k + j and give s.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2560, 3183, 3820, 4471, 5136, 5815, 6508?\n\"Answer: 7*v**2 + 602*v + 1951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**3 + 3*o**2 + 3. Let c(x) = -3*x**3 + 2*x**2 + 2. Let n(q) = -2*a(q) + 5*c(q). Is n(-4) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*c - 1019 = -1005, -5*k + 4*c = 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(5 + 53265\/(-10))?\nAnswer: 29, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 373730 and 148890.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4\/4 - 2*p**3 - 3*p**2\/2 + 10*p - 25\/4 = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 609?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21335, -21331, -21327, -21323, -21319, -21315?\nAnswer: -21311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w + 78*w - 732 = -89*w. Solve 4*t + 2 = 5*s, -s - w*t = -2*t - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -9. Suppose -r + c*m + 1324 = 3*r, -5*r - 4*m = -1655. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2 - 4*x - 12. Give b(-4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-27))\/((-4)\/186). Let r = i + -20\/3. Which is bigger: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*o + 61*o = -7*t - 23, -4*t - 14 = -2*o. Let v(z) = z**3 - 11*z**2 - 13*z + 4. Let n be v(12). Let u be (-6)\/n + (-6)\/24. Is u greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21340 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**2 + 34*z**3 - 2*z**4 + 22 + z**2 + 2*z**3 + 17*z**3 + 5*z**2 wrt z.\nAnswer: -48*z + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*n**5 - 1537500*n**3 + 44962096*n wrt n?\nAnswer: -680*n**3 - 9225000*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 549 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 9. Suppose -l*i + 3 = 0, 1 = -4*n + i + 24. Let t = 32 + -23. What is the lowest common multiple of t and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, q: 7}. What is prob of sequence qg?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -21*v**3 - 14*v**2. Let h = -33 + 36. Let b(r) = -4*r**3 - 3*r**2. Determine h*j(o) - 14*b(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 10:57 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(128) + -2*sqrt(128) + -5.\nAnswer: -8*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b - 2. Let i be v(4). Let u be ((-564)\/i)\/((-12)\/40). What are the prime factors of u*2*(-4)\/32?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((170\/(-10))\/102)\/((-231)\/(-99))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 451*y**4 + 16802 - 16759 - 2*y - y + 4*y - 4*y - 3*y**5 wrt y?\nAnswer: -60*y**3 + 5412*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + -23)\/((-1)\/3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 49. Solve 3*r = n + 1, r + 3*r = -y*n + 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.3, 235 in decreasing order.\nAnswer: 235, 1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(4\/13)*s*s**(-4)*((s*s*s**11*s)\/s)\/((s\/(s\/(s*s**(-2\/5))))\/s*s) assuming s is positive.\nAnswer: s**(631\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 116019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 989767 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 - (4 - (2 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {m: 11, i: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvq when three letters picked without replacement from qijiiiqqqvqmqqq?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v - 3*v**2 + v**2)*(4*v**2 - 1 + 1)*(-3224 + 3224 - 41*v).\nAnswer: 328*v**5 - 164*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 613 = 18*h + 109. Put 3, h, 4 in descending order.\nAnswer: h, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1452070, -2, 9 in decreasing order.\nAnswer: 1452070, 9, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.71795 rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -287, -1356\/13, 0, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2112 and 82752.\nAnswer: 910272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1\/2, -2\/6559, 5\/6, 1\/2, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t**(2\/13)\/t)\/t)**(-1\/6)*t**(-3)\/t**(-5\/4) assuming t is positive.\nAnswer: t**(-277\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17766 + -17929 + 54 + 0?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 167340 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.53135 and 0.1.\nAnswer: 0.053135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -186, -200, -220, -246, -278?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.25 - 0.1. Let w = c + 0.350196. Round w to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -22*k**2 + 747*k + 69. Calculate the least common multiple of i(34) and 320.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -249*q - 3634*q + 668*q to g + s*q and give s.\nAnswer: -3215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438123996?\nAnswer: 2, 3, 29, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2)**(-4))**(-47) assuming n is positive.\nAnswer: n**376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 5, 0.03, -16, 0.51 in descending order.\nAnswer: 5, 3\/5, 0.51, 0.03, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pedds. What is prob of picking 2 p and 1 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/27*(-1 + -11). Let z be 2\/42 - d\/(-14). What is the second smallest value in -2, z, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417095.\nAnswer: 5, 7, 17, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-108)\/(-16))\/(6\/(-4))*-18. Suppose -5*v = 5*h - 35, 6*v - 2*v - 2*h = 40. What is the highest common divisor of o and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2\/4 - 1371023*l\/4 - 342756 = 0.\nAnswer: -1, 1371024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4650.0018825 + 4650. What is v rounded to 5 decimal places?\nAnswer: -0.00188","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**6\/10 - 4*i**3\/3 + 15*i. What is the second derivative of y(b) wrt b?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 274*t - 266*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -3*y**3 - 9 + 0*y - 1\/2*y**6 + 0*y**4 + 0*y**5 + 0*y**2. What is the third derivative of b(d) wrt d?\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 8. Let p be t(6). Differentiate 4 - p*f**3 - 1 - 3 - 2 with respect to f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 305 - 304.8. Which is greater: q or -27.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvrrrrrrrvxxrvv. Give prob of picking 1 r and 3 v.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 198621.1217 to zero decimal places.\nAnswer: 198621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/20188 and 79\/42984.\nAnswer: 216940248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 167\/14 - 94\/7. Let s = 4.1 + 0.9. Which is the third biggest value? (a) s (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 6*l + 7. Suppose -q + 3 - 9 = 0. What is the remainder when 3*(10 - 3) + -2 is divided by u(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -24*b + 20*b - 1094184, 4*b - 820631 = -3*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from {b: 3, l: 1, v: 1, o: 1, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 3*o - 58. Let d(w) = w**2 - w - 58. Let p(y) = -3*d(y) + 2*k(y). Find the first derivative of p(i) wrt i.\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*m - 105*m - 71*m.\nAnswer: -406*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 45*g**2 - 95*g + 72. Calculate r(47).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120\/667, -0.01, -22 in ascending order.\nAnswer: -22, -0.01, 120\/667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -16 - (1 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -674822175681?\nAnswer: -674822175704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -800 by 811.\nAnswer: -800\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (4 + 4 - 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -251 divided by 40911\nAnswer: -251\/40911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - 2 + 2)*(10*l - 21*l - 15 + 9*l)*(-1 + 1 - 2*l).\nAnswer: -16*l**4 - 120*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 21.7. Suppose 10*n - 56 = 5*n - 2*h, 0 = n + 3*h - 19. Sort 2\/7, n, k in increasing order.\nAnswer: 2\/7, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 - (116 - 35 - -85)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4270*c**2 - 47*c + 47*c - 4277*c**2 + 8551*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 52606095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-59)\/38)\/((-14912)\/566656).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 428, 1\/5, -3 in ascending order.\nAnswer: -3, 1\/5, 428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152558838*d*n**3 - 5*d*n**2 - 4525529*d*n + n**2 wrt n.\nAnswer: 915353028*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 15. Let g be n(-10). What is the second derivative of 5*w**5 - 13*w**5 - 3*w + 4*w**g wrt w?\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 413342244 + -3?\nAnswer: 413342241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42973 = 1255*n + 499*n - 14427 + 43368 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 301*c. Let b(x) = 5*x**2 + 2*x**2 - 5*x**2 - 4*x**2. Calculate u(b(v)).\nAnswer: -602*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*l - 3*l**3 - 6*l + (-4 - 3 + 5)*(-3*l**3 + 3*l**3 - 2*l**3))*(2 + 2 - 2) to g + w*l**2 + o*l**3 + i*l and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012107712365 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7))**(13\/6)*(k**(-2\/57)*k)**(7\/9) assuming k is positive.\nAnswer: k**(472\/3591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*q + 12, -2*p + 13 = -q + 5. Suppose m = p*t - 561, -5*t + 420 = m - 279. Let v = -1258\/9 + t. Sort v, 2, -1 in ascending order.\nAnswer: -1, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + -0.3. What is the third smallest value in c, -1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142035*r**6 - 6*r**5 - 13*r**2 - r - 283 wrt r?\nAnswer: 17044200*r**3 - 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -530, -0.2, 0.28?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/4 - 46*(-8)\/(-64) and 31\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23516\/(-6)*(-7 - 602\/28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.59 - 0.16. Let w = -0.23 - -0.4. Let j = w + s. Which is smaller: j or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 1. Let j be (1 + (-30)\/40)*(-1)\/((-6)\/(-16)). Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1189*x + 7348. Determine w(-6).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 198 = -3*j, 4*j + 435 = 5*c - 650. Let f = c - 94. Let d = f - 66. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-1)\/(-6)*(-2)\/(-9)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 6*y**2 - y - 10. Let i be j(5). Suppose 5*f - 4*r = 22, 0 = 5*f - i*f - 3*r + 1. Is 25 a factor of f - -26 - (7 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -233424*w**2 - 616594?\nAnswer: -466848*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 1:54 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191968 is divided by 270?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - l. Let s be g(-1). Suppose 0 = 4*b + 2*d - 3*d - 60, 4*d = -s*b + 48. Suppose -3*p = -p - b. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -613*v + 220*v + 10529 = -241*v - 3151 for v.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b - 1. Let x be v(-2). Let c(r) = 0*r + 2 + 2*r - r - x*r. What is c(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - (10 + 1 + -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822136 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**2\/2 - 24. Let l(b) = 2*b**2 - 2*b - 2. Determine l(u) - 3*q(u).\nAnswer: 2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9702 + 29130 - 2*z - 9714 - 9714.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyzyz. What is prob of picking 2 y?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 37.5?\nAnswer: 112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/(-3*sqrt(90))*2)\/(sqrt(132)\/(-3*sqrt(11)) + (sqrt(12) - sqrt(768)*3)).\nAnswer: sqrt(5)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 - 24 = -2*z - 4*g, -2*z = -g + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 102*m**2 + 647*m + 108. Let x be h(108). Solve -4*w - 4*l - 4 = x, 8*w - 6*w - 4*l + 14 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -726.5 + 726. Let o = 114 + -571\/5. Which is the closest to -24? (a) 3 (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/272 and 139\/299778?\nAnswer: 2398224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 24*r + 113. What is u(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 182*s - 28240. Give x(282).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229331253?\nAnswer: 3, 76443751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 1:25 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-317)\/(8 + -16 + 7). Suppose t = -24*a + 893. What is the greatest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8176 - -17852. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1252*m + 2553*m - 1302*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 4. Let d = o + 6. Let j = -2675.5 - -2676. Which is the smallest value? (a) -2 (b) d (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 208 + -206. Let f(t) = 17*t + t**a - 3 - 15*t + 0*t - 5*t. Give f(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3808 = 4*j + 4*h, 3*h = -2*j - 666 - 1242. Let d = -543 - j. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-1\/10)*i\/i**22*i**(-1\/12)\/i**(6\/13) assuming i is positive.\nAnswer: i**(-16103\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*a = 3*z - 21, 9 = 3*z - 3*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543942 is divided by 67761.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*a + 102 - 221 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*r - 6, -2*r + 2*a = r - 22. Let j be (17 + -2)\/(3\/r). Suppose 5*d + j = 5*i, 0 = -6*i + 2*i + d + 18. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 9. Suppose 871 = -p*t - 1409. Let c = 9504\/25 + t. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 6. Let y be o(-9). Suppose 27 = y*b - 0*b. What is the remainder when 150\/b - 4\/6 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 11) to base 4.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnqgnnnznq. What is prob of sequence qnq?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6746.657215 - -4\nAnswer: -6742.657215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 + 1 = 0. Suppose -4*f + 4*v - a = 0, 15 = 2*v + 7. Suppose 4*p - 10 - 6 = -4*h, -3*h = p - 10. Solve -12 - f = -h*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43521*u + 43497*u = -120 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 15\/(-9)) + 149660\/(-30). What is q rounded to the nearest one hundred?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**5\/7 + 186*s**4 - 7453*s**3\/7 - 1211614*s**2\/7 - 2206308*s - 6953240 = 0?\nAnswer: -1307, -14, -5, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8077 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*-1*sqrt(847) - sqrt(847)*2*-6 - ((sqrt(847) + sqrt(847) + 0)*1 + -1 + -4))**2.\nAnswer: 770*sqrt(7) + 41530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.99999984 - 12. Let q = 0 - u. Round q to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-4)*1\/(-2). Suppose 2*f = 12 - n. Suppose f*t - t = 0. Are t and -4\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 10. Suppose a = 4*h - 0*a + 32, 3*h + 24 = -p*a. Let g = 9 + h. Let v(x) = x**3 + x**2 + x - 1. What is v(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91 + 3 + 688*g - 689*g - 3*g**4 - 89 - g**5 - 3*g**4 wrt g.\nAnswer: -20*g**3 - 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**2 - 7. Let o(d) = 3*d + 7. Let z(x) = x + 2. Let y(j) = -2*o(j) + 7*z(j). Determine y(s(w)).\nAnswer: -3*w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (118570\/(-11857))\/(-3*1\/(-6*1))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*w + 17*w + 7*w + 14*w + 10074*w**3.\nAnswer: 10074*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3424 (base 11) to base 5.\nAnswer: 121003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -800, -809, -818, -827, -836?\n\"Answer: -9*r - 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -42*v**3 - 9*v**2 + 6*v + 4. Let a(w) = 42*w**3 + 11*w**2 - 7*w - 5. Calculate 5*a(i) + 6*s(i).\nAnswer: -42*i**3 + i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 38724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {v: 4, h: 6, x: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -6\/2011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**3\/6 + 27*a**2 - 31*a - 16. Let g(p) be the first derivative of o(p). What is the tens digit of g(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*n**2 - 541*n**2 + 267*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 4580?\nAnswer: 9160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**2 + 2331*n + 14094 = 0. What is n?\nAnswer: -6, 783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476739766.\nAnswer: 2, 61, 443, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375419087*w + 375419087*w + 32*w**3.\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111*d**2*q*u**2 - d**2*q + 21*d*q + 33*d*u + 61*q*u**2 wrt u?\nAnswer: -222*d**2*q + 122*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12 + -2)\/(0 + 1). Factor l - 4*h**2 + 2*h - 10 + 2*h**3.\nAnswer: 2*h*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40848 and 828?\nAnswer: 122544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.01391 less than 1?\nAnswer: -12.01391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 25. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13\/8)\/(-13))\/(((-30)\/6)\/70).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/(-4) + (-2)\/(-4). Let b(j) = -5*j**3 + j**2 + 4*j + 2. Let g = -60022 + 60026. Let p(k) = 14*k**3 - 2*k**2 - 11*k - 5. What is g*p(o) + x*b(o)?\nAnswer: o**3 + 3*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 645674.7 nanoseconds in microseconds?\nAnswer: 645.6747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (277*w**2 - 574*w**2 + 299*w**2 - 1844)*(w**2 - w + w) in the form z*w**3 + k + i*w**2 + m*w**4 + q*w and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110 - 42. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.22 in -4, -11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3672, 14636, 32908, 58488, 91376, 131572?\n\"Answer: 3654*w**2 + 2*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 + 19*d + 4. Suppose -3*t - 21*t = -0*t + 336. Let c(w) = 6*w + 2*w**2 - 3*w**2 + 1 + 2*w**2. Give t*c(p) + 4*i(p).\nAnswer: -2*p**2 - 8*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592*o + 211*o = -31669863. What are the prime factors of o?\nAnswer: 101, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21273034?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-2))\/(5\/5). Let p be 3\/((-63)\/6 + 3). Which is the nearest to p? (a) -0.4 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 10. Let g be 0\/(-8)*1\/2. Calculate a(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4 = 4*i, 0 = -i - b + 5*b + 16. Let q(a) = a. Let x be q(5). Suppose 2*o - i*f = -2*o + 4, -3*f = x*o + 19. Is o > 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 6 = 16*z. Suppose z*h - 5*r - 7 - 6 = 0, -2*h + 2*r + 4 = 0. Is 261 + (3 - 4) + h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 96*l + 1152. Let s(g) = g**2 - 192*g - 2304. Let q(o) = -10*k(o) - 6*s(o). Factor q(p).\nAnswer: 4*(p + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(2)*1)\/((sqrt(24)\/sqrt(2) + sqrt(12))*3).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*u**4 + 2*h**2 + 11*h*u**4 + 179 wrt u.\nAnswer: -8*h**2*u**3 + 44*h*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 20 = 5*s, 4*w - 4*s - 1969 + 1961 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 - -540. Is 0 - (-1 + -2) - h\/(-7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25727, -25705, -25669, -25619, -25555, -25477, -25385?\n\"Answer: 7*i**2 + i - 25735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a. Let t(p) = 4 - 116*p + 186*p - 121*p. Let b(x) = -51*x + 5. Let z(g) = 4*b(g) - 5*t(g). Give q(z(n)).\nAnswer: -102*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10759\/(-424) + 20 - 10*((-5)\/(-2) - 3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 9.2. Let j = -9 + 8.6. Let d = x - j. Sort d, 0, -3 in decreasing order.\nAnswer: 0, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*z = -2*h + 19, 3*h = 3*z - 3. Solve h*a + 3 = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007279024397 rounded to seven decimal places?\nAnswer: -0.0000728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -301 + 303. Let h be (-4)\/14*-14*s\/2. Let c(n) = n**3 - 3*n**2 + 1. Let r be c(2). Put 1, h, r in ascending order.\nAnswer: r, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70014675 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**9\/168 - q**5\/20 - 3*q**2\/2 + 2. Let u(w) be the second derivative of d(w). Find the third derivative of u(r) wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*q + 1 - 2*q + 0*q + q + q + 4*q - 3*q + (-5*q + q + 3*q)*(1 + 2 - 2) + 2*q + 0*q - q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 + 0*r + 11608 - 5*r**2 - 3*r.\nAnswer: r**2 - 3*r + 11608","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042271 is divided by 1008?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 127797\/(-18) - (-3)\/(-18). What is k rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 23*s**2 - 26*s + 48. Let h be a(24). Suppose h = v + 6*r - 4*r - 1, 5*v = -4*r + 5. What is the smallest common multiple of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -42 (b) 16\/23 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3\/2 + 7*i**2 - 10*i + 4 = 0. Calculate i.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4746367*d**3*m*x + 2*d**3*m + d**2*x + 7*d*m*x + d*m + 6*d*x + m*x + 2*m - 2*x - 35 wrt d.\nAnswer: -28478202*d*m*x + 12*d*m + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 5, 9, 1\/3, -177?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59032 + 31347. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1689384 divided by -258\nAnswer: -6548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 8. What is the remainder when ((-3)\/12 + 0)*-44 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -18. Let v = 87 + -97. Let o = v - p. What is the biggest value in 0.5, o, 3\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 365\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 7*l**2 - l - 3. Let s(k) = -27 + 0 - 19*k**2 - 16*k**2 + 36*k**2 + 7*k. Calculate the least common multiple of s(-11) and v(-7).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 8:35 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 734, 170, -750, -2026, -3658, -5646?\nAnswer: -7990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from {z: 5, y: 6, n: 1, m: 7}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21994809 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(6 - 8253\/(-54)). Let h = -477 - l. Which is the nearest to -0.1? (a) 2 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102985?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*z**2 + 3*z**3 + 2*z**4 - 24*z**2 - 8 + 13 - 4 + 0*z**3 as r*z**3 + h*z + c*z**4 + j + d*z**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {x: 1, h: 1, s: 4, u: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(14\/4*72\/126*(-3)\/6).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 7*a + 6. Let j be o(6). Suppose -p + 4*z - 8 = j, -p - z = z + 14. Let g = p + 19. Calculate the remainder when 23 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 16)*13 - (7 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atttjjajajt. What is prob of picking 1 j and 1 t?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((2\/5)\/(-2))\/((-72)\/(-45)). Let i = -1 - -1. What is the third smallest value in -0.5, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-2))\/((-105)\/(-84))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (-9 - ((-49 - -10) + 18 + 3))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 4*r - 32 = -8*z, 2*z - 3*r = 59. Solve 14*t + 28 = z*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31643*r = 31955*r + 36192 for r.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**3\/6 - 2*x**2 - 2*x + 22. Let s = 18 + -26. Let r be y(s). Solve 0*o = r*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b. Suppose 0 = -l - b*l + 2. What is the highest common divisor of l and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 6*w**2 + 10*w + 17. Determine i(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**5\/10 + 5*k**4\/12 - 5*k**3\/6 - 3*k**2 - 12*k. Is h(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 times 148?\nAnswer: 473.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1134234 (base 5) to base 2.\nAnswer: 101001011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -588 by -6.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4 + (sqrt(176) - (sqrt(176) + 3*sqrt(176))) + 1)*-1 + -1 + 4)**2.\nAnswer: -240*sqrt(11) + 7940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 152?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -56. Suppose 0*b = v + b - 34, -v + 3*b + j = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/642 and -70\/2889?\nAnswer: 5778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.2 (c) 1\/2 (d) -2 (e) -417 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2170*k - 8. Let p(m) = 7*m**2. Determine p(h(w)).\nAnswer: 32962300*w**2 - 243040*w + 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z + 25*z = -27*z + 54. Let k(s) be the third derivative of -1\/60*s**5 + 0 + 1\/3*s**z + 1\/24*s**4 + 7*s**2 + 0*s. Give k(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -31*r - 8. Let n(l) = -11*l**2. Determine n(c(p)).\nAnswer: -10571*p**2 - 5456*p - 704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/(-1 - (-6)\/4). Suppose j = 4*l + 18. Solve -5*z = 34 - l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 75?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 786 + 24. Suppose 3*x = -6*x + a. Does 24 divide (-2 - -8)\/2 + x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 21*s**6\/4 + s**5\/30 - s**4\/24 - 16*s**2. Let r(g) = -g**3 + 5*g**2 - 3*g - 3. Let a be r(4). Is f(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(20\/4) + 1. Let v(t) = t**3 + 15. What is v(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 4*o + 0*o)*(2*o**2 - 3*o**2 + 13*o**2 + 2*o) as p + s*o**2 + q*o + r*o**3 and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 407 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.05 (b) -1\/2 (c) -5 (d) -23\/11 (e) 0.14 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -122*k - 856. Let s(n) = 43*n + 286. Calculate -6*o(d) - 17*s(d).\nAnswer: d + 274","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 183714 - 10ab?\nAnswer: 182625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/133619 - -14542171\/595940740. What is the common denominator of g and -61\/1338?\nAnswer: 13380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -202*b - 39*b - 71*b to the form a*b + z and give a.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3638 and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*d + 5. Find the second derivative of -9*l**2 + 6*l**3 + d*l**2 - l**2 + 7*l wrt l.\nAnswer: 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -10.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6 = -3*d + 2*k, 2*d - 28 = -4*k. Suppose -5*w - 1 - d = 0. Is 0 + 5 - 1*w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37184 - 2?\nAnswer: -37186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from dvdzldozvdldoldzmlzv.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/15 + 516\/180. Find o, given that -5*o**5 + 12*o**4 - 1201*o**b + 105*o**4 + 28*o**4 + 980*o**2 + 81*o**3 + 0*o**4 = 0.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**2 + 0*n + 0*n + (-2 + 1 + 0)*(-3*n - n**2 + 3*n) + 0*n**2 - 4*n**2 + 3*n**2 + 3*n**2 - n**2 - n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 19*f - 18. Let a be z(-19). List the prime factors of (-25194)\/a + 16\/12.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 38. Suppose 3*u = -r - 7, -2*u + 0*u = -r + b. Solve 5*p + r*s + 41 - 16 = 0, 0 = 4*p + s + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387411 rounded to the nearest one hundred?\nAnswer: 387400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19314848)\/(-320) + (-3)\/(-29 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 908286751?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 3 + (-26)\/10. Let j = -120 - -122. Suppose 0 = -81*y + 83*y - j. Is k != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -83*j**2\/2 - 53*j + 94. What is the tens digit of f(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67679 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -15, 3, -5, 2 in descending order.\nAnswer: 3, 2, 0, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**6\/360 + 7*i**5\/120 + i**4\/6 + i**3\/2 - 3*i**2. Let s(a) be the first derivative of p(a). Is s(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -11\/3 (c) 409 (d) 51 (e) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12736, -25486, -38236, -50986, -63736?\n\"Answer: -12750*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/14)\/((-76)\/(-16)*2)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b - 11 = -18*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, r: 5, e: 8}. Give prob of picking 3 e and 1 u.\nAnswer: 392\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 17*r**2 - 18*r + 1. Give w(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-36))\/(24\/128))\/(20\/90)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + 31. 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: Expand (-3*y**3 + 4*y**3 - 2*y**3)*(-8 + 3 - 7) - 3*y**3 - 2*y**3 + 4*y**3.\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25043 and 1590744?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921456436.\nAnswer: 2, 37, 1801, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127292812 is divided by 774?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-2) + 3\/(-3))\/1. Solve x = -d - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -18*l + 0*l**5 + 0*l**2 + 2 - 1\/30*l**6 + 1\/2*l**3 - 1\/6*l**4. Find the third derivative of q(s) wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h**2 - 52*h + 23*h + 551 - 562 + 36*h + h**3 to t + f*h**2 + k*h**3 + p*h and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 8 (c) -2 (d) 2\/6919 (e) 1 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 2*d**2 - d. Let n be l(2). Let k be (-8)\/(-2)*(-9)\/54. What is the closest to k in n, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4580408*51.\nAnswer: 233600808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -174c52 (base 13) in base 3?\nAnswer: -1002120111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*z - 8. Let m(u) = -189*u - 7. Let v(n) = -378*n - 14. Let f(h) = 7*m(h) - 4*v(h). Let y be f(z). Round y to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805087525.\nAnswer: 5, 11, 2927591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/933990 and -53\/652?\nAnswer: 1867980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d - -1c?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - -1. Let a(n) = -9*n + 3. Let d(i) = i - 11. Let z be d(8). Let v be a(z). What is the greatest common factor of w and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.925 + -0.9. Let d = g - -46.975. Let w = -46.41 + d. What is w rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 1)\/(5\/((-765)\/6)). Suppose 0 = -3*b + 408 - r. Suppose 0*j + 35 = o - 5*j, -5*o - 3*j + b = 0. What is the remainder when 97 is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 14*h - 15*y + 108 = -11*h, 223 = -6*h - y - 152 for h.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10*v + 6. Let r(h) = -19*h - 11. Let o(n) = 11*g(n) + 6*r(n). Let k(d) = 11*d. Let w(i) = 2*i. Let u(j) = 2*k(j) - 10*w(j). Calculate u(o(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 184*f**2 - 540*f + 12. Give p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-18))\/((-1)\/(-9)). Let h = 3 + -1. Suppose -4*m + 22 - h = 0. Sort 2, c, m in increasing order.\nAnswer: c, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8976 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 1:32 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44271477 and 42.\nAnswer: 619800678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7b976 (base 16) to base 15\nAnswer: 9eeda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 47\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -13*f**2. Let h(k) be the second derivative of -k**6\/90 + 31*k**4\/12 + k**2 + 2*k + 42. Let z(q) be the third derivative of h(q). Determine u(z(d)).\nAnswer: -832*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 290979 - 290979 - v. Let d(r) = -3*r + 5. Determine d(t) - h(t).\nAnswer: -2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -221\/51806370 and -191\/4620.\nAnswer: 103612740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4755 and 15216?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -2, 0.1, -1.896, -1\/4 in ascending order.\nAnswer: -2, -1.896, -1\/4, -1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) + (sqrt(99) - sqrt(99)*-1*4) - sqrt(99)) + (sqrt(99) - 5*(sqrt(99) + sqrt(99)*-3)) + sqrt(99))*1)\/((-3*sqrt(18)*3)\/(4*-2*sqrt(2))).\nAnswer: 136*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1b5071 (base 13) to base 6\nAnswer: 22532421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2, -21, 6, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-40))\/(-14*60\/(-1400))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310626 is divided by 38748.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 0*l = c - 3, -3*c - l = -9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10685\/7 + -1529. Find the common denominator of -17 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(2700\/(-408))*(-705)\/47?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7133807, 7133797, 7133787?\nAnswer: 7133777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 670095 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 3*r**2 - 3*r + 6. Is y(4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 7892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4250 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: What is 67393713 to the power of 1\/2, to the nearest integer?\nAnswer: 8209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/7)\/(642\/(-1498))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -6. Suppose 2 = i - b. Solve -m - i = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -803712 by -1092.\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 - 1. Let r be l(-1). Let m = 68 - 67.823. Let v = 0.577 - m. Which is smaller: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.93518998 rounded to three decimal places?\nAnswer: 5.935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 75770 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(30))\/sqrt(6) + sqrt(15)\/(sqrt(27) - sqrt(3)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1755 + 5264\/3. What is the third biggest value in -0.3, -2, -7, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 52833?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a factor of 87642788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 160318 - 6*s + 43554 + 0*s**2.\nAnswer: -2*s**2 - 6*s - 116764","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 102*r**2 + 1293*r - 1188.\nAnswer: -3*(r - 9)*(r - 1)*(r + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -94814 (base 10) in base 12?\nAnswer: -46a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {j: 3, m: 8}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.15 and -2382.\nAnswer: 9885.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 46 = 4*u, 0 = -0*l - 2*l + 4*u + 28. Suppose -5*y - y = l. List the prime factors of y\/(-2)*244 - 3.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 30. Let m(p) = -p - 25. Suppose -2*y + 2*u = 44, -y + 4*y - 5*u = -56. Let d be m(y). Which is greater: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 35?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-49)*-1*1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -12556676.18 to the nearest ten thousand.\nAnswer: -12560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*l**2 - 26*l**2 + 16*l**2 to v*l + r*l**2 + z and give r.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7897?\nAnswer: 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6764437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17651 or -17658?\nAnswer: -17658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25852433?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*c + 17712 = 224*c + a, -2*c = -4*a - 8820. What is the remainder when c is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 - 5)*(3*t**3 - 7*t**3 + 2*t**3).\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 4) in base 12?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119972?\nAnswer: 2, 89, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z + 2*s = 12, 2*s = -4*z + 22. Let o(w) = 18 - 23*w + 45*w + w**2 - 30*w. Let h be o(z). Solve -5*b + 7 = g, -3*b - 3 = -h*g - 0*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 76?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 4*a - 10. Let h be f(8). Let q be 4\/(-2) - 72\/h. Is q smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -274a7?\nAnswer: 274a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**2 + w**2 + w**2 + 103 + w**2.\nAnswer: -7*w**2 + 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -34. Let h be 2\/a - (144021\/12 - 2). What is h rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxhhxxxxxh. Give prob of sequence xx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 3834?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3143420 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 800719384 a multiple of 1540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as -9284016\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.062 (b) -1\/6 (c) -123 (d) 1 (e) 26 (f) 2\/3 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*d - 12, 0 = -5*d - l + 7 + 23. Let q be d\/(-30) - (9\/5 - 2). Let y be -2 - -3 - (0 + -14). Solve q*k = 5*v - 2*k + y, v + 3*k = -3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3234980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26019 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1202021233210 - 2?\nAnswer: -1202021233212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.87, 3, 5, 0.\nAnswer: -1.87, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -849160 (base 12) in base 10?\nAnswer: -2089368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1742726 is divided by 348544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 6:09 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2561 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3102*d + 362951. Determine k(-117).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66569*c**3 + 8*c**2 - 8*c**2.\nAnswer: 66569*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddyy. Give prob of sequence yd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12, 23, 42, 69, 104, 147?\n\"Answer: 4*m**2 - m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.073, 2, 4\/7, -213 in increasing order.\nAnswer: -213, 0.073, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8*4)\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, 4, 11, -2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288798, 288778, 288734, 288654, 288526?\nAnswer: 288338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 326 * -18754\nAnswer: -6113804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111128, -111125, -111120, -111113, -111104, -111093?\nAnswer: -111080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4228746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8109623 rounded to two decimal places?\nAnswer: -1.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -736.1 + 775. Let s = -2 + -39. Let x = k + s. What is x rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/40 and -32\/315.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 3. Let d(y) = 0*y**2 + 6*y**2 + 2*y**r. Is 14 a factor of d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*m**2*p**3 + 3*m**2*p - 9*m*p + 365*m + 1033*p**3 + 2*p wrt p?\nAnswer: 102*m**2*p + 6198*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1578, 12716, 42956, 101850, 198950, 343808?\nAnswer: 545976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/2*(-219)\/(-876)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93 + 105*s - 82*s - 31*s)*(-5*s - 2 + 2)*(5*s - 4*s - 2*s).\nAnswer: -40*s**3 + 465*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (9 - 2) - (4 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 132869902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 3 (b) 4\/3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1101\/7 + -157. Let g = 13222 - 66111\/5. What is the closest to y in -3, g, 17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*j - 6, -2*q = -4*j - 0*j - 8. Suppose q = -c + 14 + 12. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 2, 4, 5, 9, -1, 237.\nAnswer: -26, -1, 2, 4, 5, 9, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = 5*j + 18, 5*d = -j - 8. Let w be 4\/(-18) + (-4)\/(-18). Which is the closest to w? (a) 2\/3 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 176 = -4*g. Let h = -38 - g. What is the units digit of (-9)\/(324\/(-1360)) - 2\/h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-1 + -2 - 2*-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 32428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-3\/2))\/(o*o**(-7)*o*o)*(o*o\/o**(2\/13)*o*o)\/(o\/(o\/o**5)) assuming o is positive.\nAnswer: o**(87\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 13. Let l(m) = 4*m**2 + m - 5. Let r be l(o). What is the highest common factor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -20*p - 54 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*x - 47, -5*x - 53 = 2*w + 62. Let q = -35 - x. What are the prime factors of (q\/6)\/((-4)\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30889*m - 30887*m - 2*n = 18, 10 = -n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*n + 22 = -n, 0 = -z + 5*n + 13. Suppose -1 = -2*o + z. Let h be 4\/(-5)*5\/o. Is h less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*u**2 + 60*u - 2?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -153*f. Let m(h) = 41*h. Determine m(n(z)).\nAnswer: -6273*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.484 rounded to 2 decimal places?\nAnswer: -1.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87587*k**3 - 47011*k**3 - 40584*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uueuuuuuuuuueueuuee. Give prob of sequence ueue.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**5 - 19\/6*i**4 + 0*i - 1\/30*i**6 + 0 - 14\/3*i**3 - 223*i**2 + 4\/105*i**7. Solve q(n) = 0 for n.\nAnswer: -1, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011966 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 10. Suppose 55*a + 380 = 75*a. Calculate the remainder when (-142)\/6*f + 1 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8566.14m in nanometers?\nAnswer: 8566140000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9547 - 9582 + 684 - 12348 - 3361)*(2*k + 3*k - 4*k).\nAnswer: -34154*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -667*r + 24020. Determine w(36).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 13\/420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 25 = t, 2*m - 4 = -0*m. Let s = t + 99. Suppose -s + 8 = -3*j + c, -4*c - 80 = -4*j. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*p**3 - 4 + 21*p**3 + 22*p**3 - 85*p**3.\nAnswer: -2*p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 2)*(-1 + 0 + 2)*(-3*g + 3*g + 2*g)*(6*g + 1 - 1).\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2635 - 7901\/3. Factor -2\/3*u**2 + n*u + 0.\nAnswer: -2*u*(u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 995 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-8)*(-216)\/180.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 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 n(d) = -2*d**2 + 3*d + 2. Suppose 3953 = 7*k + 3925. Determine n(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 4*u + 10. Calculate y(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208 - 1667\/8. Let d be (14\/6)\/((-10)\/7). Let w = d - -11\/6. Put u, -0.05, w in descending order.\nAnswer: w, -0.05, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 2*i + 83. Let a be v(9). Let z(t) = -t - 25. Calculate z(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4*(sqrt(2304) - sqrt(2304)*3) + sqrt(2304) - sqrt(2304))\/(4*sqrt(432)*1))**2.\nAnswer: 80*sqrt(3)\/3 + 139\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9656254397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10997785?\nAnswer: 5, 167, 13171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*u = 57, i - 89 = -2*i + u. Solve 3*p + i = -5*d, -8*p - 20 = -4*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1743\/8 or -218?\nAnswer: -1743\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/((-28)\/(-8)) + 12. What are the prime factors of (-63)\/(-5) - (-4)\/q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i. Let z(m) = 2297*m**2. Give d(z(u)).\nAnswer: 4594*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*a = n - 106*a + 1, -2*n - 2*a - 14 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 2022 = 2064 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100977 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: Expand (3 - 3 - l)*(4 - 3 - 3)*(-5 + 1 + 3)*(-3*l**2 + 5 - 5 + (3*l - l - 3*l)*(15*l + 15*l - 20*l)).\nAnswer: 26*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-8)*(-8)\/(-3). Let a be 16\/h + 7*4. Suppose 41 = 3*o - k, 2*o + k - a = -3*k. Solve c - 1 = -5*u + 5, -3*u = -2*c - o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1879504, -3758972, -5638440, -7517908?\nAnswer: -9397376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 487355 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 d, and 1 j when three letters picked without replacement from ljfjjgmjjjdmggjgg.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*j + 237*j + 2572*j**3 - 86*j**3.\nAnswer: 2486*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -176. Is 1*-5*2414\/g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1944, -5, 3\/11, -8\/17?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) - (sqrt(68) + sqrt(68)*2)*-5))\/((sqrt(12) - sqrt(588))\/sqrt(3)).\nAnswer: -17*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(1*2))\/(-31 - -32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2503 - 2464.21. Let y = 39.0418 + -0.0418. Let x = k - y. What is x rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3558391?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -809*c**2\/2 - 1050*c - 339. Differentiate u(l) with respect to l.\nAnswer: -809","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 908*v - 60*v - 14416 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -3, -232\/7, 3\/104, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2102.8 - 4734434\nAnswer: -4732331.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*n + 40 = 0, -25*l - n = -28*l + 11. Suppose -5*z = -m + 2, 3*m = 2*z + 11 - l. Solve 4*d = -m*h + 10, 0*h + 15 = 4*d - 3*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 6*q + 426. What is l(24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f + 12. Let l be p(7). Find the common denominator of 33\/8 and 4\/l - 322\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 5:54 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 452 and 939?\nAnswer: 424428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - ((0 - 1) + -2). Let t(s) = -4*s - s - l*s + 0*s. Let y(u) = 68*u**2 - 24*u**2 - 36*u**2 - 13*u**2. Calculate y(t(d)).\nAnswer: -405*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - c + 3. Let x(j) = -6 + 3 - j - c + 0*j. Let k be x(-6). What is the second smallest value in k, -2\/9, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.05943 or 0.44?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 543, 1, -432, -5 in decreasing order.\nAnswer: 543, 1, -5, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21410235?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r**3 + 5*r - 23. Let u(y) = 4*y**3 - 2*y + 11. Let m be (-5)\/245*14*(-1 - (1 + -9)). Calculate m*w(z) - 5*u(z).\nAnswer: -2*z**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1795, -1784, -1767, -1744, -1715, -1680, -1639?\n\"Answer: 3*a**2 + 2*a - 1800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12491, -10943, -9395, -7847?\n\"Answer: 1548*w - 14039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + 7. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129c (base 13) in base 2?\nAnswer: -101001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*(-24)\/(-16)*291*(-108)\/(-729)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**3 + 8813*l**5 - 318*l**2 - 648*l**2 - 8788*l**5 wrt l.\nAnswer: 1500*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606*s**3\/5 + 3033*s**2\/5 - 3*s = 0.\nAnswer: 0, 1\/202, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 25 = -y. Let t = 34 - y. Suppose -379 = 4*z - t*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.088 (b) -0.2 (c) -0.08 (d) -4 (e) -7488\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14157203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2*q)**(-43)\/((q\/(q\/(q**(2\/5)\/q)*q)*q)\/q)**(-48))**48 assuming q is positive.\nAnswer: q**(-49392\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 646489 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -1, 4, -191520 in decreasing order.\nAnswer: 33, 4, -1, -191520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/12 and 31\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (10 - -16) - 15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/18)\/(25\/630*4\/14*-7)\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*q - 55 + 55 - 63*q.\nAnswer: -85*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**6\/120 + f**5\/30 + f**4\/24 - 2*f**2 + 4*f. Determine z(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2809 or -0.2?\nAnswer: 2809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 49.44796 decades?\nAnswer: 4.944796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 265 - -641. What is the tens digit of l\/4*46\/23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6702974 micrograms in tonnes?\nAnswer: 0.0000000000006702974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 9:01 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 126786542.2+1.0732\nAnswer: 126786543.2732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 23644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8910892ug to nanograms.\nAnswer: 891.0892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-40*16\/(-40))\/(180\/(-225))\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24452 and 278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114299597 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 878929631?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**20*f)\/(f\/(f\/f**17)))\/((f\/(f**(2\/33)*f))\/(f**(4\/21)\/f*f)) assuming f is positive.\nAnswer: f**(1213\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - v**2)*(134*v + 72 + 72 + 72 - 215).\nAnswer: -134*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {f: 10, s: 6, k: 2}.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1416*k**3 + 9*k**2 + 883*k + 9. Let j(t) = 2*t**3 - t**2 + t - 1. Let r(z) = 9*j(z) + q(z). Find the second derivative of r(f) wrt f.\nAnswer: 8604*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -3*p + 22. Find the second derivative of 2*a**2 + 38 - p - 3*a wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 + 247. Suppose 12*r + l = 10*r. Let u = -45 - r. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1092 + -770. What are the prime factors of g?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 134*g - 8. Let r be l(4). Suppose 0 = b - 0*b - 139. Let m = r - b. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39590 + -21633. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1647*c - 9070. Does 22 divide h(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bybybyb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 + 2*q**3 - 17 + (0*q - 3*q + q)*(-q**2 - 2*q**2 + 2*q**2).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 10) to base 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 4 - ((-77)\/(-7) + 1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let s be (3\/3 + -1)\/f. Suppose s = -3*u + u. Which is smaller: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-4))\/((-24)\/32). Let f be u - -5 - (2 - -1). Suppose -t + 2*t - 163 = f. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -346384 divided by -11\nAnswer: 346384\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -0.35?\nAnswer: 30.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 221*g**3 - 314.\nAnswer: 663*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18489*b**5 - 588*b**2 + b + 5?\nAnswer: -1109340*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -79583?\nAnswer: 6\/79583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 22896?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 9*o**2 + 10*o + 14. Let x be h(10). Let b(g) = 6*g - g + x*g. Let c(q) = 2*q**2. Calculate b(c(d)).\nAnswer: 38*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15368 and 24973.\nAnswer: 199784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6517 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 + 1561010*h\/3 - 20292961\/3.\nAnswer: -(h - 1560997)*(h - 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11077 - -10426. Which is the nearest to 2\/5? (a) -3 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 5*h + 8, 6*o + h = o - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82852 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -7 (c) 5.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60566 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o - 201 = 706 + 528 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 2 - (9 - (13 - -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2396168800.\nAnswer: 2, 5, 109, 27479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16461 and 24957?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (112\/((-80)\/10))\/(6\/(-18)) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 2*h**2 - h - 2. Let b be y(-3). What is the highest common divisor of 4 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j**3 - 2*j**2 - 4*j + 5. What is y(2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -864871*d**3 - 3*d**2 - 1567551*d.\nAnswer: -5189226*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whhhqmmmmhhwqzh. What is prob of picking 2 m, 1 w, and 1 q?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(176) - sqrt(11) - -4*(sqrt(11) + (sqrt(77)\/sqrt(7))**2)) + -1.\nAnswer: 7*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 77150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 4)\/(-1 + 2) + 2. Factor -1\/4*p**4 - p + 3\/4*p**2 - x + 1\/2*p**3.\nAnswer: -(p - 2)**2*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 10*f + 139. Determine m(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.576913 times 4?\nAnswer: -42.307652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1970 and 39\/14?\nAnswer: 13790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1114\/21 - -307\/6. Calculate the common denominator of -52\/7 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2304 and -2395.\nAnswer: -5518080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.4 - 0.3. Let o = k + 6. Put -0.4, -0.1, 3, o in decreasing order.\nAnswer: 3, o, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7.6, 0.4, 3, 0.04, -5, -0.06, 0.15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5))**(-17))**12*(o*o\/o**(-2\/7)*o\/(o*o**(8\/7)))**(-29) assuming o is positive.\nAnswer: o**(6908\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-54)\/81)\/((-21)\/36). Let o(u) be the first derivative of -u**2 - 4\/21*u**3 + 8 + c*u. Determine v so that o(v) = 0.\nAnswer: -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwkkfwwffkqookk. What is prob of picking 1 f, 2 w, and 1 q?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027575 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10959 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776650 is divided by 257.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Let l be ((-8)\/(-6))\/(q\/(-6)). Let m be 0 + (0 - 0) + 4. What is the second smallest value in m, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7875971 to 2 decimal places.\nAnswer: -1.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*d - 42, -7 = q + 3*d - 0*d. Let b(x) = x**2 + 14*x + 10. Let m be b(q). Is m + ((-304)\/2)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2821*1\nAnswer: 2821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k**2 - 8*k - 11. Let f(x) = 8*x**2 + 8*x + 11. Let c(b) = -6*f(b) - 7*n(b). Calculate the remainder when c(-11) is divided by (9\/(-4))\/((-6)\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.2. Let u = 1.21 - 9.61. Let l = u + 6.4. What is the smallest value in -0.1, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*x + 1. Let y(g) = -9*g**3 - 610*g - g**2 + 610*g + 1. Determine y(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/6*2412\/24.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -503 + -110.\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/7)\/((-11)\/(-10857077)*7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 6:18 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 13*l**2 + 23*l + 16. Let r be o(-11). Let x(m) = -m**2 + 4*m + 7. Let u be x(r). Solve 4*p - 5*h + 9 = 0, 2*h = -u*p + 7*h - 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6533.2229 to the nearest one hundred.\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/85, 17, -1, -0.2, -44?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0, 4, 4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 5. Suppose -7*h + l*h - 180 = 0. Let i be ((-12)\/18)\/(6\/h). Let m(t) = 2*t. What is m(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221746 is divided by 240?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 736 divided by 2256.\nAnswer: 46\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 944 + -565. Suppose -14*j - q - 895 = 0. Let t = j - -186. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*y + 11, -4*a + y - 4*y + 26 = 0. Let c(d) = 6 - a*d - d**2 - 4 + 0*d - 4. Calculate c(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -537\/1678 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from bffbfffbbbqdldblbffb.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19996531 to the nearest integer?\nAnswer: 4472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + x + 0 - 1 + 4 + 3*x**2 to g*x + l + a*x**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2417.33 + 2384. What is o rounded to 0 decimal places?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c**3 - 3*c**2 - 3. Let f(j) = -9*j**3 + 2*j**2 + 2. Determine 3*f(d) + 2*z(d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2468 times -0.3?\nAnswer: 740.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7373079 a multiple of 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 872 + -768. What is the lowest common multiple of m and 32?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(4*4\/(-120))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 14577, -171, -0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from {m: 1, z: 2, i: 2, k: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 2. Suppose -5*p + 4 + 16 = 0. Suppose -3 = y - p*m, -2*y + m = -m. Solve c*x + 11 = y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -359 - -402. Sort -3\/7, -3, f in decreasing order.\nAnswer: f, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 138 + 905 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 1. Let z be a(-3). What are the prime factors of 46\/(-4)*(-4 + (z - 0))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13041264809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1987 - -0.0987. Which is the nearest to 2? (a) 16\/3 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 148.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/9)\/(8\/5)*624\/(-260).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/45)\/(-4))\/(1230\/24600)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 244 - 232. Calculate the greatest common divisor of 204 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285 and 3021.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32494\/539 - 62)\/(0 - (-62)\/(-7)).\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from czwczzctccwcwc.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-10)*(-3)\/(-18)*2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 2:19 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 28 (c) -0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -5*u - 19. Let g be 6 + 17 + 4\/(-1). Let n = u + g. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 2*o - 884. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o. Let q(d) = 339 - 339 - 2*d. What is q(p(i))?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17959 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a663 (base 16) to base 8.\nAnswer: 523143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8091, 8094, 8099, 8106, 8115, 8126?\nAnswer: 8139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 + 7?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/((-24360)\/174))\/((11\/(-3))\/(-1))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*i - 240, -5*f + 0 + 5 = 0. Let a = -63 - -44. Let d = a + i. Calculate the highest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2994\/(-16) - -187) + 286*14\/32\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 7*u**2 + 4. Let b = 116 + -109. Let g be d(b). Solve f + g*f - 2*i + 14 = 0, -5*i + 20 = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 930*b + 7139 - 34109 = 0 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 2*v = -4*j + 6, 2 - 7 = 3*j + 4*v for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 26095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63.9 + -61. Let c = h + -3. Put 2\/11, c, 1 in descending order.\nAnswer: 1, 2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-1\/4)*f)**(-15)\/((f\/(f**6*f*f))\/(f*f**(4\/7)*f)))**(1\/13) assuming f is positive.\nAnswer: f**(-887\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/55)\/(4\/44).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288658 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p - 1 + 236*p**2 + 21*p - 237*p**2 + 6*p**4 in the form s + i*p + m*p**4 + x*p**2 + a*p**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -813, -10, -12 in decreasing order.\nAnswer: 3, -4, -10, -12, -813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/14259 and 71\/37235002?\nAnswer: 111705006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 21 + 6. Suppose -z - 3*k = 5, -22 = -2*z - 2*z + 2*k. Let w be -2*(-3)\/6 - -3. Solve j*f = -4*s - z, f - 3*s = s + w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10)*-5) - (sqrt(75) + 2).\nAnswer: -26*sqrt(3)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1163 divide 28657483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4) - -2)\/(6\/1192). Suppose d = 20*x - 18*x. Let s = x - 149. Solve s = 2*r - 0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + 12.95. Let z = -27 + 45. Let g = m - z. What is the third biggest value in -2\/15, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/16)\/((-30)\/5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 238?\nAnswer: 238.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9.82, -8, 2\/13?\nAnswer: -9.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -459 - 917?\nAnswer: -1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2400134558 - -1?\nAnswer: -2400134557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31118, 62286, 93454, 124622?\nAnswer: 155790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-167 + 7)\/8 + 21. Which is bigger: -1\/13423 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from majam.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14312 (base 7) to base 10\nAnswer: -3929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -40, -2, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 100445 (base 6) to base 2\nAnswer: 1111100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, k: 6}. Give prob of sequence tkt.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**2 - 10*d - 29. Let f(m) = -m**2 - 2*m - 7. Determine -9*f(b) + 2*n(b).\nAnswer: -b**2 - 2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/4 (b) -2248 (c) -0.37 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2125 (b) 69 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 4, 2609 in decreasing order.\nAnswer: 2609, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**2 - 40*o + 17. Let v(u) = u**2 + 10*u - 4. Let y(w) = -2*r(w) - 9*v(w). Suppose 3*s - 47 = 4*z, 26 + 31 = 5*s + 4*z. Is y(s) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -2*g - 2*w, -2 = -5*w + 3. Suppose g = 5*r - 14. What is the lowest common multiple of 11 and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 970 + 1910. Let y = i - 285. Solve 9*x - 10*x - y = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2546 + 2665. Is r less than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43648?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -123855 equal to -123913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26310 is divided by 1252.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6912*i**5 + 5462*i wrt i.\nAnswer: -138240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41394, -41405, -41422, -41445, -41474?\nAnswer: -41509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.2 (b) 3\/8 (c) 1\/2 (d) 2\/11 (e) 0.1 (f) 146\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3338878.\nAnswer: 2, 67, 24917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -46*q + 2. Let s(r) = 137*r - 6. Let w(i) = 8*n(i) + 3*s(i). Let b be w(-2). What is the common denominator of 65\/8 and -1 + (b\/6 - 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*u + 48, 3*u = 6*g - g - 50. Suppose -33 + 3 = -5*y. Let m be (16\/y)\/(u\/(-6)). Which is smaller: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h*h**(3\/7))\/((h**(3\/2)\/h)\/((h**(-1\/14)*h*h)\/h)) assuming h is positive.\nAnswer: h**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 3112?\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 314.6017 + -22.\nAnswer: 292.6017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 8:50 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - (-1 + 1)) + -3. Let m be (-7 - -5)*(-6)\/c. Let a be (4 - 3) + 0 - 5. Put 2, m, a in ascending order.\nAnswer: a, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6113 - 250. List the prime factors of a.\nAnswer: 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 minus 0.151?\nAnswer: -14.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = l + l - 2*x, -2 = l - 2*x. Let u(p) = p**3 + 7*p**2 - 7*p + 8. Let d be u(l). Solve d = -2*n - 0*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-2)*(-1216)\/(-158080)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 764953 from -0.09.\nAnswer: -764953.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 g when two letters picked without replacement from agaagaaaaagagaag.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 738 and 20.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 96736?\nAnswer: 1064096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -5, -3 in descending order.\nAnswer: 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = 100*j - 99*j. What are the prime factors of j?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 4:27 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -177, -144, -107, -72, -45, -32, -39, -72?\n\"Answer: -w**3 + 8*w**2 + 16*w - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -11. Let d be q\/(-21) - 8\/(-70). Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**5\/10 + 2*i**2 + 36*i. Let g(l) = 5*l. Give g(v(n)).\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 473972 and -0.1?\nAnswer: -47397.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -369*w**2 + 2*w. Let s(b) = -6*b. What is j(s(y))?\nAnswer: -13284*y**2 - 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 5*x - 12. Does 5 divide g(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 1. Let r be a(-4). Let u(z) be the first derivative of -z**3 - z**2\/2 + 5*z - 22. Let w(p) = 4*p**2 + p - 6. Calculate r*w(g) - 6*u(g).\nAnswer: -2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 622210 and 155660?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 2*z**3\/3 + z**2 + z + 1. Let s = -16 + 15. Let u be i(s). Calculate the highest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 97011.\nAnswer: 97012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52491909521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y = 4. Let v(d) = 14*d**2 - 4*d - 20. Let x(k) = -5*k**2 + k + 7. Let c(h) = 3*v(h) + 8*x(h). What are the prime factors of c(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v = -42*v - 10. Put 2\/7, 1, v in decreasing order.\nAnswer: 1, 2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from {a: 1, h: 3, k: 2, l: 7, r: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29.1934861 * 4.\nAnswer: 116.7739444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/144*28)\/(11\/((-2464)\/(-8)))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**3 + 465*j**2 - 32*j**4 - 48*j**4 - 166*j**4 + 522*j**2 wrt j.\nAnswer: -5904*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 3212493\nAnswer: -1\/3212493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5 - 3 + 4 - z. Let w be f(5). Let y be 2\/(-6) + (-129600003)\/w. Round y to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -467*y + 10. Let v(k) = -1168*k + 24. Give -12*o(d) + 5*v(d).\nAnswer: -236*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i*v**2*y**3 + 42*i*v**2 + 213*i*y**3 - 3*i*y - 7*v*y**3 wrt v?\nAnswer: 2*i*v*y**3 + 84*i*v - 7*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0.2. Let g be -16*(-2 - 1) - 0. Let r = g - 49. What is the nearest to 2\/5 in f, -0.2, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 696\/464*(((-252)\/45)\/(-7))\/(6\/(-35)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/7064 and 31\/134053528?\nAnswer: 134053528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 + -29 + -51 + 16?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5069.3668 and 2126.\nAnswer: -2943.3668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-908)\/220)\/(2\/4). Let h = x + 126\/11. Let u = -0.01 - -0.51. Sort -2, u, h.\nAnswer: -2, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrb when four letters picked without replacement from {r: 3, m: 6, b: 5, v: 3}.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 59*h**3 + 1199 - 5*h + 3*h**2 - 1238 + 6*h.\nAnswer: -59*h**3 + 3*h**2 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - -51.01. Let q = -47 + m. What is the second smallest value in q, -1, -5, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*a + 9, -8*a = -5*a + 2*x + 13. Let h(b) = b**2 - 3*b - 12. Let f(q) = q**2 - 5*q - 23. Determine a*f(d) + 5*h(d).\nAnswer: 2*d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 5132?\nAnswer: -5134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 11 - 3)*(0 - n + 0) + 3 - 3 - n)*(0*n - n**2 + 0*n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 6*w**5\/5 + 10*w**2 - 16*w + 9. Let h(x) be the first derivative of l(x). What is the first derivative of h(q) wrt q?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 6. Suppose 5*h = 3*s + 10, 5*s - 2 = -5*h + 8. What is y(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22486 and 28?\nAnswer: 314804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80083519 and 2342?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70.6 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*1*-6 - (-5 + (sqrt(2) + 1 + sqrt(2))**2).\nAnswer: -10*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 232*g**2 - 362*g**2 - 70*g**3 - 21 + 5*g**5 + 5*g**4 - 10*g**4 - 4 - 95*g.\nAnswer: 5*(g - 5)*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 31*j**2 + 408*j - 28. Calculate v(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106648.\nAnswer: 2, 43, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126722362 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 18*(160\/(-30))\/(-16)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) 0.1 (c) 9 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -0.1 (b) -2\/9 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r. Let d(z) be the third derivative of -105*z**4 + 146*z**2 + 9. Give d(v(u)).\nAnswer: 2520*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/9? (a) -7\/17 (b) -5\/6 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 3:27 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 863*a = -861*a + 22, 0 = -8*s - 4*a - 56 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15906877.\nAnswer: 7, 29, 127, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27621 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0 + 0)*(0 - 2 + 1) - 5*s + 3*s + 0*s - 3*s + 2*s + 0*s + 0*s - 3*s + 5*s + (1 - 1 - 3)*(41*s - 7*s + 13*s).\nAnswer: -144*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 6 (c) 5.337 (d) 2\/7 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4817690?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z - 9 + 16*z**4 - 3*z - 3*z. Let y(o) = 4*o**4 - 2. Let i = 26 + -35. Let f(w) = i*y(w) + 2*l(w). Find the second derivative of f(v) wrt v.\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232260 + 252090.6.\nAnswer: 19830.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 114613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*z - 99 = -717 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265 < 2768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5174.2 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 14*r - 7. Let y be w(9). Let o be (y\/6)\/(4\/24). Suppose -3*m + 4 + o = 0. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1878*c + 0 + 6 + 10 + c**2.\nAnswer: c**2 + 1878*c + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -37*t + 177. Let b(q) = -101*q + 353. Let c(j) = -2*b(j) + 5*x(j). What is c(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -2*m**5\/35 + m**4\/14 + 2*m**3\/21 - m**2\/7 + 8. Solve o(s) = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 5:00 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 12*o + 15. Let m be u(-7). Suppose -9*s - m - 133 = 0. What is the closest to 0 in 0, -1\/3, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1507331 + 0\nAnswer: -1507331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 + 10*y**4 - 18*y**3 - 34*y**2 + 16*y + 24 = 0 for y.\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10460*f**4 - 13912*f?\nAnswer: 125520*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.25453 - -2.75453. Let h = -20.4 + 23. What is the nearest to 0.1 in h, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 4343480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 12) to base 4\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/9098693?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10010122 (base 3) to base 14\nAnswer: -b93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 10. Let c(n) = 0 - 67 - 5*n + n + 8 + 17. Let a(u) = -c(u) + v(u). Let i(l) = -l**2. Calculate i(a(z)).\nAnswer: -9*z**2 - 192*z - 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102 is divided by 369?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*i**3 - 2*i**2 + 129*i - 185*i**3 + 2*i**2 + 0*i**2 wrt i.\nAnswer: -894*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 590, 5, 3, -16 in increasing order.\nAnswer: -16, 3, 5, 590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 153*h**4\/4 - 43*h**3\/6 - 8*h**2 + 45*h - 2. Let w be v(-19). What is w rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2147237654.96 plus 0?\nAnswer: -2147237654.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -4\/7, -0.2 in descending order.\nAnswer: 7, 4, -0.2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*g + 2*g. Suppose -x = -g*x - 3*l + 119, 2*x + l = 109. Suppose 86 = 2*o + o - 5*z, o = -3*z + x. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 954 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/9))**(-1\/4))**(2\/11) assuming b is positive.\nAnswer: b**(-1\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 - 283. Let v = 410 + s. Solve -2*f = 4*w - 5*w - 3, v*w = 2*f - 23 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -93, -216, -469, -942, -1725, -2908, -4581, -6834?\n\"Answer: -15*l**3 + 25*l**2 - 93*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 15 = 3*j, -5*j = 5*c - 4*c - 1. Suppose 4*z + 5*h - 27 = 229, -5*z - 3*h = -320. Let y = z - 60. Calculate the greatest common factor of y and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-4)*6\/4. Suppose y*w = 2*w + 8. Solve -3*u + 5 = w*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98 < 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**2 + 4999*l + 1 - 4999*l - 18*l**3 to the form j*l + r + c*l**2 + k*l**3 and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18094*j*l**3*s + 12*j*l**2*s - 2*l**3*s + 81373*l**2 with respect to j.\nAnswer: -18094*l**3*s + 12*l**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r**2 - 20*r + 2. Let g(i) = -i**3 + 9*i**2 - 20*i + 3. Let d(o) = 2*g(o) - 3*j(o). Factor d(l).\nAnswer: -2*l*(l - 2)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.31 in -5, 0.21, -1\/7?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/2 + 1\/2. Let x be 6\/(-27) - (-116)\/36. Factor a*w**4 - 2*w**5 + 50*w**3 - 50*w**x.\nAnswer: -2*w**4*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y + 3. Let o(g) = 8*g + 4. Let z(k) = -3*o(k) + 4*p(k). Let j(x) be the second derivative of -x**4\/6 + 2*x + 81. Determine j(z(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101111000 (base 2) in base 16?\nAnswer: -378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2059, -4764, -8911, -15220, -24411?\n\"Answer: -120*c**3 - c**2 - 1862*c - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51403\/2127 - 1\/4254. Suppose -f = -5*n - 45, -n - 15 = f - 0*f. What is the common denominator of m and (1\/(-35))\/(n\/(-1625))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31272 - 30d?\nAnswer: 30e64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 - 34 - 92 - 62 - 1 + 2 + 1 + 1 + 0 + 0 + (2 - 2 - 1)*(-4 + 3 + 3) - 1 + 1 + 2)*(-2*u - 20*u - 17*u) to the form v + p*u and give p.\nAnswer: 8034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 407\/87772 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 1395 + -1391. Which is the third biggest value? (a) v (b) 20 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -26. Suppose l = z*l - 36. Solve -5*t = -3*d + l, -2*t = -3*d - t + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbvbv. Give prob of sequence vbb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/v**(-1))\/v))**(-13\/6)\/(v*v**(-2))**(11\/5))**(4\/15) assuming v is positive.\nAnswer: v**(44\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {x: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 2*r + 16 - 8, 0 = 2*j + 2*r + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (6 - 1) + -1. Solve 4*a + 3*c - 31 = 0, -18 = -2*a - 0*c - g*c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -189, -168, -111, -6?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from meejjgejee. What is prob of picking 1 m, 1 j, and 1 e?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/1677712669 + -11273069836225487\/130861588182. Let h = d - -86147. What is the common denominator of h and 2\/27?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.984 + 1. Let t = 0.01 - m. Round t to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u - 14. Let i be a(9). Suppose k = i*k + 60. Let x be -6*(2 - k\/(-2)). Solve x*v = v - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 13) to base 6\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = q - 8328004, -w + 2448791 = 3*q - 327221. Round w to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (10 - (2 - -8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 145156277 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14170 - 14171. Which is the nearest to 0? (a) u (b) 28 (c) 0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h + 145 = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.1 + -1.\nAnswer: 24.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 1708475?\nAnswer: -1708474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0295 in -0.18, 0.4, -2\/5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 832320*m**4 - 532680720*m**3 + 85226956805*m**2 + 417788800*m + 512000 = 0.\nAnswer: -1\/408, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9865 - -49479\/5. Let h = f - 38. Calculate the common denominator of h and 5\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3)*j**0*(j**2)**(-1\/11))\/((j**(-2)*j)**(2\/11))**(-3) assuming j is positive.\nAnswer: j**(-35\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - 0. Let t = y + 0.49922. What is t rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -15154*v**2 + 55*v - 194. Let d(i) = 1894*i**2 - 7*i + 25. Give -31*d(m) - 4*n(m).\nAnswer: 1902*m**2 - 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - n**2 + 126*n + 267. Determine c(15).\nAnswer: -1443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 36 = 6*k. Suppose -k = -4*l - 6. Suppose -7*w - l*g = -3*w - 28, 0 = -2*g. Calculate the greatest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.41152 nanometers to millimeters.\nAnswer: 0.00003741152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**2 - 1. Let i(w) = -2*w**2 - 6*w + 1. Let o(h) = h**2 + h. Let x(y) = i(y) + 6*o(y). Give 6*u(q) + 5*x(q).\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -322, -737, -1306, -2023, -2882, -3877?\nAnswer: -5002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 0 - 2) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20367*a - 10234*a - 10141*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97 and 369958?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4527900 divided by 52650.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -29, -73, -155, -287, -481, -749, -1103?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*d + 777 - 301 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -567858, -567859, -567860, -567861, -567862, -567863?\nAnswer: -567864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28837768, 28837780, 28837806, 28837852, 28837924, 28838028, 28838170?\nAnswer: 28838356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107 + -102. Suppose v*n - 3*f = -f + 501, -4*n - 2*f + 408 = 0. What are the prime factors of n?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6460801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -2 - (5 + -1 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -578 = -7*x + 52. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117164 is divided by 126.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {n: 12, c: 3, t: 2}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 6*o - 11. Suppose 5*i - 5*x = -20, -5*i = -2*x + 8 + 15. Let j be g(i). Is 168\/j*1\/(-1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**6\/360 + r**5\/40 - r**4\/24 - 2*r**3\/3 + r. Let b(g) be the second derivative of o(g). Give b(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1669093 and 40874?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -7. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017971037 to four dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15\/77 + -2\/7. Let y = 1525.8 - 1526. Put u, y, -0.3, -3 in increasing order.\nAnswer: -3, -0.3, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-8)*v**(-7)*v\/v**6*((((v*v*(v\/(v**(5\/2)\/v))\/v*v)\/v)\/v*v)\/((v*v**0)\/v))\/(v**(-2\/19)*v\/v**(-3)) assuming v is positive.\nAnswer: v**(-585\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22299 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1000 = 156*d + 137*d - 43*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 630803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154862 is divided by 51594.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 40*c - 125. Give d(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353.40858 - 1092?\nAnswer: -738.59142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*l = 15*l. Let x(z) = 4*z. Let i be x(-2). Let f be l\/2 - (0 + i). Calculate the greatest common factor of 16 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -798 - -1187. What is the remainder when g is divided by 71?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 45 = -5*b, 49 = 32*f - 39*f + 2*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 2, c: 1}. Give prob of picking 1 c and 1 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = -2*g, -4*o + 5 = -g + 4*g. Let p = 28.1 + -3.1. Let l = 24.9 - p. Which is the second smallest value? (a) l (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/6 - 2\/4. Let u(b) = -b + 1. Let a(k) = 16*k**2 - 4*k - 15*k**2 + 2 + 3. What is r*a(w) + 3*u(w)?\nAnswer: -w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*n + 68, -7*n - 5*m = -2*n - 35. Suppose -5*w + 6 = 2*z - n, 20 = 5*z. Let j = 2\/775 - -1528\/8525. What is the nearest to 0.2 in j, w, 0.8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16902 + 16897. Which is the third smallest value? (a) -1 (b) -3\/5 (c) v (d) 1053 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1755875, 1755889, 1755913, 1755947, 1755991, 1756045?\n\"Answer: 5*w**2 - w + 1755871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 849109 + 849109 + 2577*l**2.\nAnswer: 2*l**3 + 2577*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 7*t**2. Give r(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -1) + (9 - 1). Let r = 72 + -47. Solve -y - r = -i*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2927914 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(8) + sqrt(64)\/sqrt(8)) + 3.\nAnswer: sqrt(2)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 23*i**2 - 44*i + 29. Calculate the remainder when 212 is divided by d(-21).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1)*1\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 57.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1247, -4192, -9099, -15968, -24799, -35592?\nAnswer: -48347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73810 and 26735.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -591453.558289535 + 0.3?\nAnswer: -591453.258289535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n**2 - 367*n - 400. What is d(47)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 17. Suppose 0 = 5*o - z*w + 186, -o - 3*w + 9 - 36 = 0. Let x = o - -57. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -155*d**2 - 8*d + 2*d - 9*d + 153*d**2 - 22 + 0*d. Give x(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 12*m**2 - 17*m - 4. Let o(i) = -13*i**2 + 21*i + 4. Calculate -5*o(z) - 6*r(z).\nAnswer: -7*z**2 - 3*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18\/(-30) + (-516)\/(-10).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 28*p**2 + 4*p - 708. Calculate the remainder when 730 is divided by b(-29).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((((-9)\/(-8))\/(-3))\/(-125 + (-122145)\/(-1020)))?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/4? (a) 4 (b) -0.05 (c) -3\/101 (d) 6 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/62608 and 109\/11778.\nAnswer: 28361424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19733*f**5*q + 6*f**2 - 322*f*q wrt f.\nAnswer: -1183980*f**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 808\/4495 + (-54708)\/282658?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p*u*y**3 + 3*p*u*y - 2*p*u - 67*p*y**3 - 43*p + 47*u*y wrt u.\nAnswer: 2*p*y**3 + 3*p*y - 2*p + 47*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 3115*c - 31253. Give q(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/2 (b) -5 (c) -1.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8556392.\nAnswer: 2, 13, 29, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + y + 282. Calculate k(-13).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a + 1. Suppose -19*z + 32 = -63. Calculate g(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16790, 1, 3, 7.\nAnswer: -16790, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(1\/3)*d))**(2\/17)\/((d**(-5)*d)\/(d\/d**2))*((d\/(d\/(d\/(d\/(d**4\/d*d)*d)*d*d)))\/(d*d**6))\/(d*(d\/d**(3\/5))\/d*d*d**(-6)*d) assuming d is positive.\nAnswer: d**(1163\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1763, -19, -42?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 + 3*x**2 + 5*x + 3*x**3 - 3*x + 2*x to the form g*x**3 + m + u*x + o*x**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*d + 341 = 61*d. What is the second derivative of -25 + 11 + 64*n**3 - 19*n + 5*n + d wrt n?\nAnswer: 384*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -219*i + 210*i + 225. What is the greatest common divisor of i and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14 + 6 - 10*w - 25 wrt w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8388 divided by -3?\nAnswer: -2796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:15 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 - 1.3. Let s = 2 + w. Let g be ((-8)\/(-42))\/((-2)\/3). Which is the smallest value? (a) s (b) -1\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f - 5*f = -52944. Is 36 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*b - 141 - 145*b - 49 - 33 + 223.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = y + 1, 57*s - 4*y - 14 = 60*s. Solve 3*x + x + s*g - 2 = 0, -g = -4*x + 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 14, 1207, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -39. Let h = 33 + a. Let w = h + -15. Solve -2*z - w*z - 2*c - 23 = 0, -3*c = 2*z + 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 4 + 2 - 1 + 4. Let v be l(2). Let a be 22\/(-4) - (-1)\/2. Sort 1, a, v.\nAnswer: a, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8615488902 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = -x + 5*g, -4*x = 5*g - 26. Let h(f) = -4*f**2 + 2*f - 4*f**3 + 7*f**3 + 0*f**3 + x - 2*f**3. What is the remainder when 3 is divided by h(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + 5. Suppose -x + 2*d + s = 0, -2*d - 2 = -d. What is the greatest common divisor of x and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 70?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1809 - -3787. Let i = h + -1977.999994421. Round i to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -33. What are the prime factors of 18 + -13 - (-103 + z)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.048*-8\nAnswer: 0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 - 4301\/(-35). Let c = 123 - p. Suppose -14*h = 43 + 27. What is the second smallest value in 2, c, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**4\/4 - 2*w**3 - 3*w**2 + 7*w - 2. What are the prime factors of b(7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 4*g**2 + 15*g - 19. Is b(5) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/12*(-30)\/(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1550.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 154657220 to the nearest 1000000.\nAnswer: 155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*v**3 - 4*v**2 - 18?\nAnswer: -21*v**2 - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1218133080, 1218133082, 1218133084, 1218133086, 1218133088?\n\"Answer: 2*s + 1218133078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -6\/5, -10, -1, 7\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297*f - 852573 = -2645466 - 919311. List the prime factors of f.\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 444 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24588962 to the nearest integer?\nAnswer: 4959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22365, 22529, 22693, 22857, 23021, 23185?\n\"Answer: 164*a + 22201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(130)*2 - sqrt(130))\/sqrt(10).\nAnswer: 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.6666687nm?\nAnswer: 0.00000006666687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4 + 2*l + 5 + 14. Let k be (43 - 1)\/(9\/(-17 - -8)). Let v be 2*-1 - (50 + k). Determine p(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 62*h - 2180. What is z(35)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 945, 3735, 8385, 14895?\nAnswer: 23265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.334488 millilitres in litres?\nAnswer: 0.001334488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -7)*(-23)\/(276\/12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*l = 308, -22 = -y - 5*l + 280. Sort y, 0, 1, -2 in ascending order.\nAnswer: -2, 0, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, e: 3}. What is prob of sequence eef?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3*m*m*m)\/m)\/(m*m**(1\/7))*((m\/(m**(-1\/2)\/m))\/m)\/m*m\/(m\/(m**(-6)*m)) assuming m is positive.\nAnswer: m**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:11 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*u**2*w**3 - 2*u**2*w**2 - 557*u*w**5 - 3769*u*w**2 wrt w.\nAnswer: -36*u**2 - 33420*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.6. Let v = -5.4 - -1.4. Let o = 2 + v. What is the second smallest value in -3\/2, o, y?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 85 = -8*d. Solve 5*z + d - 15 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 21*r**2. Let g(n) = 2*n - 74238. What is g(z(f))?\nAnswer: 42*f**2 - 74238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 12:27 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 237, 0.4, 0?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47, 41, 21, -19, -85, -183, -319?\n\"Answer: -d**3 - d**2 + 4*d + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 - 108.4. Let x be 2527\/9 + 4\/18. Let p = x - 1970\/7. Which is the second smallest value? (a) g (b) 4\/9 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48, -68, -82, -84, -68?\n\"Answer: n**3 - 3*n**2 - 18*n - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93385 and 4180.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 5 - -4 - (-19 + -19)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 16 = -9*h + p, -2*p = -3*h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213762?\nAnswer: 2, 3, 23, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.4845us in nanoseconds?\nAnswer: 37484.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 10. What is the common denominator of 6 + -7 + (-98)\/6 and ((-178)\/(-6))\/(g\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/84 and -39\/196?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 6. Let w be m(11). Suppose y = -5*u + 253, -5*u = w*y + 242 - 1547. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, q: 4, d: 1, x: 3, c: 1, f: 1}. What is prob of sequence fd?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 672942732 divided by -8739516?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from czzdhh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-61)\/(-2135)*21\/(-6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(102)*1 + (-6*sqrt(102)*2 - sqrt(102)))\/((sqrt(6) + sqrt(30)\/sqrt(5)*6 + sqrt(6))*5).\nAnswer: -11*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -187*y - 2 - 1 + 165*y wrt y.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310, -318, -328, -340?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 7. Suppose 0 = -4*y + 4, 5*c - 4*y - 17 = -6*y. Let l be m(c). Let j(x) = 0*x + 3*x - 2*x + l*x. Let r(g) = -2*g. Determine j(r(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*v**3 - 3*v**2 + 232*v + 246218.\nAnswer: -21*v**2 - 6*v + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 13 = 4*k - 5, -4*k - 4*p = -12. Suppose -3*a + 14 + 3 = 5*w, -k*w + 3*a = -23. What is the remainder when 6 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 14. Let s be t(-10). Let y be (32\/s)\/(10\/(-28005)). Is y\/24 + (-4)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2\/3 + 13760*h\/3 - 6188794 = 0?\nAnswer: 1843, 5037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1217*d + 1475*d - 269200 for d.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 3*f**2 - f - 1. Let o be (-12)\/(-9)*(0 - -3). Suppose o*x = -3 + 11. What is the remainder when 32 is divided by i(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in -8, -0.4, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6. Let b(y) = y - 1. What is 6*b(p) + s(p)?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zaoyf. Give prob of sequence aoy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2450 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*v + v. Let l be (v - -5) + -1 + -2. Is l\/(-6) + 1178\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**7\/1260 + f**6\/360 - 7*f**2. Factor t(j).\nAnswer: -j**3*(j - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(17\/3)*n*n)\/n*n*(n*(n\/n**(21\/8))\/n)\/n)\/((n\/((n\/(n**4\/n*n*n))\/n))\/(n*n\/(n**(-10)\/n))) assuming n is positive.\nAnswer: n**(313\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 1. Let w be (-4 - 36\/(-8))*2. Let s(p) = 5*p**3 + 13*p**2 + 19. Let c(j) = w*s(j) - 4*y(j). Is c(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 + 62. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/(sqrt(4) + sqrt(36)) - sqrt(16))\/(sqrt(88)\/(sqrt(176) - sqrt(11))) - (4 + (sqrt(6)\/sqrt(3) + 2 - (0 + sqrt(128)))))**2.\nAnswer: -57*sqrt(2) + 649\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.2? (a) 3 (b) -5569\/3 (c) 2\/7 (d) -5 (e) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23455215 + 1?\nAnswer: 23455220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 54*l**2 - 60*l + 257. Give z(26).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22435 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -344 + -5?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1880*t**3 + 5*t + 37209*t**2 - 37209*t**2.\nAnswer: 1880*t**3 + 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/151, -5, -4, 2\/17 in ascending order.\nAnswer: -5, -4, 2\/151, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arooaooogalo. Give prob of sequence oo.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.062 times 0.9\nAnswer: -0.0558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5359001 and 5.\nAnswer: -26795005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 at most 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -161 from 738495440.\nAnswer: 738495601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -298, 4, 5, 17, -8 in decreasing order.\nAnswer: 17, 5, 4, -8, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/660 and -133\/880?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7730.\nAnswer: 2, 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2)*(2*h + 3 - 3)*(-8 + 23 - 14).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/55, 3\/2, -3?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u - 2*u + 10*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 10*r**3 + 13.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + 4 + (-13 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 9. What is the common denominator of (x\/4)\/(6 + -4) and 73\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 11:59 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-79 - (-65 + -101))*1\/(-6)*2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w. Let l(n) be the first derivative of 1805*n**2 - 2259. Calculate k(l(t)).\nAnswer: 3610*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 26*i = 8. Suppose -6*k = -62 - i. Suppose -123 - 141 = -k*n. What is the least common multiple of n and 44?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 - 3*x + 2. Let c(u) = -3*u + 32. Let z be c(10). Suppose 0 = 5*f - 0*f + 4*r - z, 4*r = -4*f. Determine y(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -136 + (-110)\/(-33) + 2\/(-6). Let u be ((-5)\/3)\/(7 + w\/14). Determine j, given that 0*j**2 - 1\/3*j**3 + 0 - 1\/3*j**5 - u*j**4 + 0*j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 160. Suppose -143*b = -126*b + y. Let h = 2 + -1.8. Which is greater: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (3 + -7 + 1). Solve u = -1 - n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 88*h**2*p - 2365859*h**2 + 301*h*p**2 - p**2 - p wrt p.\nAnswer: 88*h**2 + 602*h*p - 2*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 24547 = 5*p - 24623, p = 3*o + 5 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*a + 119*a = -4. Let i be 18\/(-12) - 1\/2. Sort i, -4, a.\nAnswer: -4, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0.4 (c) 2 (d) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -135238, -540872, -1216934, -2163430, -3380366, -4867748, -6625582?\n\"Answer: -v**3 - 135208*v**2 - 3*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((205\/(-4))\/(((-1800)\/120)\/(-24*1)))\/6.\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h - 9. Does 15 divide p(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9599*y**3 + 19188*y**3 - 9593*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/16 - -4*49\/(-16) - -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 22. Suppose -3*a = a - k. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 7:20 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224281 - 14449 - 40918 = 3884*t for t.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + 2.2. Let a = -0.04 - 0.96. Let k = -0.9 - a. What is the closest to k in -0.5, n, -4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311222100 (base 4) in base 8?\nAnswer: 655220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/42)\/(114\/5472) - (-3 + 1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f - 3. Let j(k) = 3*k + 3. Let z be j(-2). Let d be q(z). Calculate the common denominator of -17\/9 and 2\/d*123\/(-4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 3. Let q be n(-3). Let z be ((-25)\/(-5))\/(-1 - q). Suppose 2*j = -2*k - 2, -9*k - 1 = j - 7*k. Put j, -9, z in descending order.\nAnswer: j, z, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + x + 64. Suppose -26 = -4*t - 14. Suppose 2*c - 5 = t*u + 10, c + 5*u = -25. Is p(c) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*c**4 + 51*c**3 - 3*c**2 - 36*c.\nAnswer: -3*c*(c - 4)*(c - 1)*(4*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 21 (b) -0.12 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5711 + 2358. What are the prime factors of 14\/8 - o\/4?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7676351660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176d59 (base 14) to base 8.\nAnswer: -3114743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35464 and 6008?\nAnswer: 26633464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 163, 182, 201, 220?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.5, -160, 192.\nAnswer: -160, 3.5, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 - -2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 53\/4 of a decade?\nAnswer: 1590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 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: What is the closest to 23\/2 in -4, -2\/9, 5, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15*1*(-28)\/(-21). Let k be 174\/10 + (-12)\/p. Factor -j + j**5 + 2*j - 20*j**3 + k*j**3.\nAnswer: j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 9*k**2 - 23*k + 8. Let g be s(11). Let v = 165 + -174. Sort 2, -1, v, g.\nAnswer: v, g, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35677620?\nAnswer: 2, 3, 5, 11, 37, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = -5*f + 191*u - 180*u, -29 = -5*f + 4*u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32, 87, 164, 263, 384, 527, 692?\n\"Answer: 11*a**2 + 22*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 - 23\/(-3). Let b(c) = 5*c**2 + 1 - h*c**2 + 4 - 1 - 4*c. Calculate b(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 29773 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 6*k + 6. Suppose -4*r - 1 = -j - 3, 4*j = 2*r - 22. Let x be l(j). Is (1 + 27\/x)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1029 and 118471171?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (260\/6500)\/(45\/125).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 51.4888 hours?\nAnswer: 3089.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63063 is divided by 21015.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2. Let y(p) be the first derivative of -59*p**3\/3 - 17. Calculate t(y(z)).\nAnswer: -6962*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1177.03 + -1177. What is the third biggest value in -2, 0.026, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119)\/sqrt(7) - sqrt(17))*6 + 2 + sqrt(272))**2 - (-5*sqrt(17) + -5 + sqrt(833) + 0)) + -2.\nAnswer: 14*sqrt(17) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -17, 0, 1 in ascending order.\nAnswer: -17, 0, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l**2 + 2*l + 2. Let w be (21\/7 - -4) + -14. Let k(u) = -11*u**2 - 5*u - 4. Give w*m(g) - 3*k(g).\nAnswer: -9*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w**2 + 8*w + 15. Let a(n) = -6*n**2 - 8*n - 13. What is -5*a(f) - 4*g(f)?\nAnswer: 2*f**2 + 8*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -15678\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:35 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) -0.5 (c) -5 (d) -0.07 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.247526 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/117 - (-356)\/882)*12320\/880.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*z - 10. Suppose -5 = -2*i - c, c = -i + 3 + z. Is 1 + i - (-317 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/(h*h*h**11*h*h*h))\/((h\/h**(-3\/7)*h)\/(h*h*h*h*h**(-11)*h*h*h*h)) assuming h is positive.\nAnswer: h**(-199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 835582431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.21 - -1.49. Let o = v + -1.7. What is the second biggest value in o, -8, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*b + 117*b + 6511 = 0 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -68494 + 5?\nAnswer: -68489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 31 = -y - 3*b, -4*y + 2*b = -16. Suppose -2*l - 25 = -0*z - y*z, -20 = l - 4*z. Suppose -3*q + l = -12. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 3:54 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 7*m + 2837 = r, -5665 = -2*r + 3*m. Calculate the remainder when r is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 32. Suppose 4*o = -3*h - 3, h = o + a*h + 17. Solve 5*x + 12 = o*y + 2*x, -3*y = 2*x + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1326067 = -177*r + 595*r - 29286923. List the prime factors of r.\nAnswer: 2, 7, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -17*i**2. Let k(r) = -3*r**2 + 3*r**2 - 2*r**2 - 5*r. Let u(g) = -3*g**2 - 7*g. Let v(h) = -7*k(h) + 5*u(h). What is m(v(z))?\nAnswer: -17*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -7 + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 12 = -4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4\/7 (b) 0.4 (c) 3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (284 + 46398\/(-165))*60\/(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3 + 2 + 3 - 2 - 4 - 2 + 7 + (-3 + 5 - 1)*(1 - 5 + 3) - 3 + 2 + 3 + 1 - 3 + 3 - 2 - 5 + 2)*(8 - 6*x**3 - 8).\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 7*y**5 + (5*y**4 - 8*y**4 - 2*y**4)*(0*y - 3*y + y - 13*y + 88 - 88 + (-1 - 1 + 0)*(-y + y - 3*y)).\nAnswer: 52*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30134.\nAnswer: 2, 13, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2. Let q(s) = 8*s**2 - 13*s - 4. Let j(u) = 9*u**2 - 10*u - 3. Let z(m) = 4*j(m) - 3*q(m). Calculate z(f(h)).\nAnswer: 108*h**4 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.1 + 128.\nAnswer: 124.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n + 30*n - 82*n = -320 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4814 and 664.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 66 = -2*d + 45, -108*s - 3*d + 4*d + d = 6 + 78 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*p - 18 - 11 = 0, -2*n = 2*p + 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**5\/6 + 2899*o**4\/6 + 1883171*o**3\/6 - 316387771*o**2\/6 + 1839957756*o + 10557002430 = 0?\nAnswer: -1521, -5, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*g - 248*g + 192 - 1473 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.8? (a) -4\/5 (b) 0.01 (c) 32 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*c - 4*c = 0. Suppose 45*v - 38*v - 49 = c. Solve -v*t = 15 - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w**3 + 37*w**2 - 15*w. Let f(b) = b**3 - b**2 - 2*b - 2. Let v(c) = -8*f(c) - x(c). Give v(-30).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.070979 times -45\nAnswer: 3.194055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.178 in -0.5, -1, -2\/15, 7, -3\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/q*q**(-1)*q**(-1\/8)\/q*q*q**(-4\/7))\/(q**(-3\/8)*q\/(q\/((q**(-1\/11)*q)\/q)))**(-9) assuming q is positive.\nAnswer: q**(-1523\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.68 in 16.24, -0.4, -1\/4, -3, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.78 - 4.14. Let v = 0.08 - m. Let d be (0 - (-2)\/(-3))\/(20\/(-18)). Put d, 2\/13, v in descending order.\nAnswer: v, d, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = -33*n + 42. Solve -h = 3*q - 5*q + 9, -3*h - q + n = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/5)\/(y*y\/y**(4\/5))*y**2\/(y\/((y**(-2)*y)\/y)*y) assuming y is positive.\nAnswer: y**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -445*b**2 + 172*b**2 + 2 + 224*b**2 to the form p + v*b + k*b**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.047818 times -578\nAnswer: -27.638804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101010 (base 2) to base 8.\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42510, 43698, 44886?\n\"Answer: 1188*a + 41322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.6 - -15.6. Let i = -17 - -15. What is the smallest value in i, -2\/11, o, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1020 - 1018. Let l(v) be the first derivative of 0*v - 2\/15*v**3 + 5 + 0*v**j. Factor l(n).\nAnswer: -2*n**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f + 60. Let w be c(-15). Suppose a = -w + 5. Sort -2, -2\/7, 1, a in descending order.\nAnswer: a, 1, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3435 + -2?\nAnswer: 3433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2130.7 - -2130.7. Which is the biggest value? (a) n (b) -5\/4 (c) -12 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(sqrt(36) - (sqrt(36)*-1 - sqrt(36))))\/(sqrt(120)\/(sqrt(10)*1)).\nAnswer: 75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 38 - 16 = 0. What is the highest common factor of q and 786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7598307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/23 - 2*u**2\/23 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196 + -111. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmf when four letters picked without replacement from mffmmkdkfffk.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3773 and 156751.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -9*y - 12. Let u be p(-4). Let z be ((-20)\/(-3))\/(-3 - (-76)\/u). What is the highest common factor of z and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -132 - -127.2. Let n = -5 - t. Which is the third biggest value? (a) n (b) -2 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 15) in base 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (357\/49742*-66)\/(6\/1)?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - (6 - (1 - -3)). Differentiate -31 + 11 - 7 + 32*y**3 - o*y**3 with respect to y.\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/1 - (-9)\/3. Suppose d*l = -5*n + 110, 2*n - 5*n + 34 = -4*l. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*j = 10393 - 6037 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from vnnnvvbnmn.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**4\/6 + 2*u**3\/3 - u**2 - 29*u. What is r(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18440523 to the power of 1\/2, to the nearest integer?\nAnswer: 4294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2325433 is divided by 113?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001339 rounded to five decimal places?\nAnswer: 0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + b - 4 + 9, -4*i + 2*b + 10 = 0. Calculate the remainder when 78 is divided by (i + -1)*(-40)\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 13220532.\nAnswer: 92543724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -12397*x**3 + 4*x**2 - 56*x - 4. Let j(y) = 268692575*y**3 - 86695*y**2 + 1213730*y + 86695. Give 4*j(c) + 86695*z(c).\nAnswer: 12385*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2\/7 - 822*u\/7 - 648800\/7 = 0.\nAnswer: -400, 811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16977509 and 426187?\nAnswer: 6361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (10*(-57)\/10260)\/((-8)\/(-18))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a8 - -3?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 + 4.1. Suppose 5*u = 97 - 7. Let d be (u\/21)\/((-6)\/(-28)). Which is the nearest to 2\/3? (a) d (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8179 = -136*v - 3147. Calculate the remainder when 450 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 165*h**2 - 9*h - 43. Is n(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -199*a**3 - a**2 - 20*a + 12. Let v(m) = -397*m**3 - 2*m**2 - 37*m + 25. Let d(s) = 11*u(s) - 6*v(s). Find the second derivative of d(g) wrt g.\nAnswer: 1158*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 339, 659, 967, 1257, 1523, 1759, 1959?\n\"Answer: -l**3 + 327*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + 15*b**3 - 5*b**3 - 122287*b + 2*b**2.\nAnswer: 12*b**3 + 2*b**2 - 122287*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 624 (base 12) to base 6.\nAnswer: 4044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbsbhhzhzghbughggbhh. Give prob of sequence uh.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 464*c**2 - 10*c. Let f(o) = o**2. Calculate w(f(r)).\nAnswer: 464*r**4 - 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjvv when four letters picked without replacement from {v: 12, j: 7}.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 3*v**3 + 6*v**3 - 13*v**3 + 7*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2866, -5689, -8512, -11335?\n\"Answer: -2823*u - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16237718 is divided by 2658?\nAnswer: 2654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**3 - 73 - 7*p + 73 + 6*p**2 - 6*p + 10*p to the form s*p**2 + r*p + i*p**3 + v and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 36805591.\nAnswer: -7\/36805591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - u - 4, -3*u = -o + 7. Let n = -4 + o. Let b(s) = -s**2 + 5*s + 4. Let m be b(n). What is the nearest to m in 1\/5, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28910 + -28910. Let f(n) be the second derivative of -31*n - 2\/3*n**3 + l + 0*n**2. What is f(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*g = -4*g + 8, -12 = -3*f - 3*g. Let z be -1 - 1\/(2\/(-12)). Let y(o) = -o + z*o**2 - o - o**3 + 4 - 4*o. Give y(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (0 - -1)) + 2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3396 and 318658?\nAnswer: 1911948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27863\/3594 less than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -458 + 11?\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94462, -94458, -94454, -94450?\nAnswer: -94446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 3. Let g be u(7). Let v be (-3)\/(-2) - (-22)\/g. Suppose 4*l + v + 4 = x, -5*x = -3*l - 21. Solve -d + 15 = 3*d - p, -9 = x*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 50) + 608 + -410 - (0 - 13)\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3513 + -3443. Does r = 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6707*q + 6707*q + 4*q**2 + 2*q**4 + (q**2 - 6*q**2 + q**2)*(0*q**2 - 2*q**2 + 3*q**2) - q**4 - 2*q**4 - q**4.\nAnswer: -6*q**4 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88027911*b**6 - 51442480*b**2?\nAnswer: -10563349320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 214?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 less than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -9.6.\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/4 (b) -2 (c) 2 (d) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 22 = 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkkk when four letters picked without replacement from {k: 3, v: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 274 + -5752\/21. Find the common denominator of l and 95\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.5 - 92.5. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 - 6*d + 5. Is l(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78552.891 plus 1.2799?\nAnswer: 78554.1709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + a + 1. Let b = -28 - -27. Give u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0696*-202\nAnswer: -14.0592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9970 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 146588 = 41*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - 0.4. Let h be (-6)\/(-18)*6 - 3. Let u be (h + (-13)\/(-18))*8\/110. Which is the second smallest value? (a) u (b) v (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = 0, -2*t = 2*n - 30 - 10. Solve 4*h = h - n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.54 - 19.6. Let y = b - 2. Let u = 0.0597 + y. What is u rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 2*y**2 + 39 + 15981*y - 15884*y.\nAnswer: -2*y**2 + 97*y + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppwwgywpgghpyp. What is prob of picking 1 y, 1 g, and 1 w?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*k - 412.\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11785811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (sqrt(132) + sqrt(132)*2 - sqrt(132)))*4)\/(-1*sqrt(588)) + 3.\nAnswer: 4*sqrt(11)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4 = 0, 0 = 2*k + 2*q + 89 - 103 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-5) - -7)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8900 is divided by 815.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-19)\/(p\/(p\/p**(-17))*p*p) assuming p is positive.\nAnswer: p**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14209\/4 - -3552. What is the nearest to 1\/4 in 1\/8, -0.2, v?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -2*h**6\/3 + 14*h**5\/5 + 207*h**4\/16 + 47*h**3\/3 + 59*h**2\/8 + 3*h\/2 - 5822. Let w(t) = 0. What is t?\nAnswer: -1, -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0)\/(20582\/(-2008) + -1 + 14)?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 5:03 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 910?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.7 + 1.3. Let q = h + -18.75. Round q to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10506*k - 4*k**3 + 23 - 23 - 10506*k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one eighths of a litre?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168 - -337\/2. Which is the closest to 1? (a) -0.05 (b) 0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076485 a multiple of 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4494 + 4386.04. Let s = -108 - q. Let p = s + 0.040062. Round p to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 2 - 339\/(-105). Let a = 2470 + -86456\/35. Let r = a - s. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**3 + f**2 - 2*f - 1. Let c be k(2). Suppose -36 = 6*u - 186. Let s = c + u. Solve 0 = 2*h + h + 4*m - 8, -4*m + 20 = s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + (sqrt(45) - -5*(sqrt(45) - 1*sqrt(45))))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q + 12. Suppose q*c = -7 + 28. Solve -3*u = -c*u - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/20 and -107\/174.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 28 = 7. Suppose 0 = -y - g*z + 39, 3*y - 2*z - 171 = z. 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: Let x(j) be the first derivative of -j**8\/280 - j**6\/360 - 4*j**3\/3 + 3. Let k(o) be the third derivative of x(o). Find the third derivative of k(u) wrt u.\nAnswer: -144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 21. What is the greatest common divisor of 60 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -8*t + 3*t. Let f be (-1)\/(-4) - 120\/t. Let h = 519 + -519. Solve h = -f*v - l + 21, 2*v - 5*l + 20 = 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73 and 130?\nAnswer: 9490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1932 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4765414*b**3*k**2 - 19*b**3*k + 8244*k - 1 wrt k.\nAnswer: -9530828*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**8\/20160 - 59*o**5\/30 + 65*o**2. Let g(i) be the third derivative of y(i). Let c(k) = -k**2 - 35. Calculate g(c(p)).\nAnswer: p**4 + 70*p**2 + 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 h when four letters picked without replacement from {h: 10, l: 4}?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1404*m - 70576321 + 70576321.\nAnswer: -1404*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 35*r**2 + 479*r - 1197. Calculate v(47).\nAnswer: -5192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**8\/840 + 118*x**7\/525 - 17*x**6 + 47396*x**5\/75 - 157216*x**4\/15 + 43*x**2 - 13*x + 3. Factor j(l).\nAnswer: -2*l*(l - 34)**3*(l - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.39, -1\/321, 2\/5?\nAnswer: -1\/321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 292*l**3 - 18 + 2*l**2 + 2*l**4 - 291*l**3 - 15*l**2 + 3 to the form n*l**3 + w*l + i*l**2 + j + r*l**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 - -6162453?\nAnswer: 6162510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l, 3*m - 9 - 3 = 5*l. Let x(y) be the first derivative of -1\/2*y**4 - 4\/3*y**3 + y**2 - 1 + m*y. Let x(u) = 0. Calculate u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z - 8*z + 3*z. Let m(p) = 11*p. Calculate m(c(x)).\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 233?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 52\/((-8)\/(-2)) - (57 + -63)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -73*c**2 + 67*c**2 - 7980*c + 7980*c. Let i(n) = -35*n**2 - 4. What is x(i(o))?\nAnswer: -7350*o**4 - 1680*o**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 5:48 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 a factor of 961184930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 746, -2, -32, 0, -1 in increasing order.\nAnswer: -32, -3, -2, -1, 0, 2, 746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/8 and ((-3)\/57)\/(2\/65).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-36))\/(((-2)\/9)\/1)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 15.4. What is the closest to -1 in m, 3, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, s: 5, p: 4}. Give prob of picking 2 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*p**2 + 4*p**2 - 3*p**2)*(0*p + p + 2*p) - 9*p**3 + 4*p**3 - 9*p**3)*(p - p - 2*p) to the form x*p + m + c*p**3 + d*p**4 + o*p**2 and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11339 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: Sort -0.4, 1\/7, -1\/4, 10, 4 in descending order.\nAnswer: 10, 4, 1\/7, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -4\/3 (c) -23 (d) -24 (e) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 18. Does 4 divide (h\/(-2))\/((-1)\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1972*v. Let k(n) = n. What is b(k(i))?\nAnswer: 1972*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -50*a - 288. What is l(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -595*v + 35. Let o(y) = 35*y - 2. Calculate -2*g(j) - 35*o(j).\nAnswer: -35*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 22*u + 1. Let v be b(0). Solve -5*h - 9 = v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 3:08 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-20)*5236\/(-13090)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2520 - 251464?\nAnswer: -245644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 7 + (-21 - (-2 + 20 - 36)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122*g - 311*g + 130*g)*(-4*g + 25*g - 7*g + (g - 5*g + 3*g)*(-1 + 0 + 2) + 0*g + 0*g - g).\nAnswer: -708*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124 + -127. What is the closest to 3 in c, 2\/15, -0.06?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1511 - -1497. Put -1\/2, 1\/5, f, -0.1 in increasing order.\nAnswer: f, -1\/2, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*1*sqrt(3200))\/(6*(sqrt(810) - (sqrt(810) - (sqrt(810)*4 + sqrt(810))))))**2.\nAnswer: 80\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) -1 (c) -5 (d) 0.2 (e) 22.54 (f) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 18*u + 20. Let f(x) = 17*x - 4. Let t be f(2). Let i = t - 41. Let r be v(i). What is the greatest common factor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-733960)\/(-12))\/((-5)\/135*-9). Suppose 0 = -5*y + 5*c + o, 5*y - 183498 = -c + 2*c. What is y rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7185, -7206, -7229, -7254?\nAnswer: -7281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-640)*48\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 2*s**2 - 7*s + 6. Let p be v(5). Let l = -28 + p. Solve 2*q - k = 7 + 1, 3*k = 4*q - l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/694 and 20\/19?\nAnswer: 13186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) - -3*(sqrt(68) - 2*sqrt(68))))\/sqrt(4) + sqrt(34)\/sqrt(32)*2.\nAnswer: 7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1351330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -2206*b**5\/5 - 2129*b - 667. What is the first derivative of k(o) wrt o?\nAnswer: -8824*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 604 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -29*t**3 - 17*t**2 - 6*t + 3. Let c(p) = -144*p**3 - 84*p**2 - 32*p + 16. Let l(i) = -3*c(i) + 16*k(i). What is the third derivative of l(w) wrt w?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*n = 0. Suppose 5*z = -n*z. What is the tens digit of 28 + z - (-3 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 23 = -77 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.39 rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**16\/(v**25\/v) assuming v is positive.\nAnswer: v**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 107*f**3 - 7 - 105*f**3 - 11 + 26 + 2854*f**2 as q*f + k + g*f**3 + i*f**2 and give i.\nAnswer: 2854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3720 + 2510. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16 and -0.0098336?\nAnswer: 16.0098336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 9) + -45 + 38?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5808) + sqrt(5808)*5 + 1)*3 - ((sqrt(5808) + sqrt(5808)*2)*3*5)**2.\nAnswer: -11761197 + 792*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 26. Let t be f(10). Let b be ((-4)\/(-14) + t\/(-252))*9. Solve 2*n - 2*z - 12 = 0, b*n - n + 4*z + 4 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 884, 3860, 9398, 17972, 30056, 46124, 66650, 92108?\n\"Answer: 79*w**3 + 807*w**2 + 2*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12.06, 3\/2, -1, -2, 5, -2\/3.\nAnswer: -2, -1, -2\/3, 3\/2, 5, 12.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/5898 and 131\/12?\nAnswer: 11796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**3 - 36 + 42 + 13*j**3.\nAnswer: 3*j**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(11\/2)*d)\/(d\/((d**(21\/5)*d)\/d*d)*d))\/(d*d\/d**(2\/13)*d**(-2\/19)))**(-25) assuming d is positive.\nAnswer: d**(-98295\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -509 = -3*x + 331. Let u = -115 + x. Let n(i) = -2*i**2 - 18*i - 1. Let w be n(-1). What is the highest common divisor of u and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let h = -4 - -9. Suppose 0 = 5*o + 2*q - 50, q - h = -0*q. Let w(x) = o*x**2 - 4*x**2 - 5*x**2. What is j(w(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/1 - 24\/(-11 - (-21876)\/1992) is divided by 166.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6953 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295 divided by -793230.\nAnswer: 59\/158646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27878*z**3 - 2333*z - 13941*z**3 - 13939*z**3 to the form s*z**3 + q*z + v*z**2 + f and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.19 and 1564711.3.\nAnswer: -297295.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289725731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (3 - (-3 + (5 - 1))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -2*x**4\/3 - 2*x**3\/3 + 4*x**2 + 6*x. Let q(s) = -33*s. What is n(q(r))?\nAnswer: 528*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -0.0568\nAnswer: -0.3408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.58 + -1083.42. Let g = 1100.6024 + a. Let z = g + -0.6. What is z rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939551508?\nAnswer: 2, 3, 7, 37, 33589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -26381142*h - 1. Let m(s) = -6*s. Calculate m(k(x)).\nAnswer: 158286852*x + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.008 - 80.008. Let r = y - -79.999873. Round r to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3230 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2853, -2972, -3091, -3210, -3329, -3448?\nAnswer: -3567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/6 - (1\/115)\/(638\/(-221705))\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 19 in increasing order.\nAnswer: -6, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -143*p**7\/42 - 56*p**3 + 31*p. What is the second derivative of j(i) wrt i?\nAnswer: -2860*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 20 - 70 = 0. Solve 0 = 4*h + 20, -n = 2*p + 4*h - h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -145*b + 2998. Determine u(21).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (181 + -121)\/((-19)\/2) + 7 + -1.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 11*g = -25. Suppose 0 = g*f + 2*f - 56. Solve -f*c + 4*c = -20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/7 + 136*c\/7 - 4624\/7.\nAnswer: -(c - 68)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 3:02 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 19 = j, -3*j - 2*u + 0*u - 18 = 0. Let y(v) = -v**3 - 2*v**2 + 4*v - 2. Let l be y(j). Solve 6 = -5*x - l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*p**3 + 25*p**3 + 7 - 6 - 6*p**4 to m*p**3 + o*p**4 + d*p + z + h*p**2 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -8 + 0 + 3 + 11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eemmenmn. What is prob of picking 2 e?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 87915.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*i - 5184 = -85*i + 11518 + 252 for i.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 1, 11, 27, 49, 77?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**4 - 233*p**3 + 230*p**2 + 464*p = 0.\nAnswer: -1, 0, 2, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.043 - 112693192669.2\nAnswer: -112693192669.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3546\/5 (b) 2\/15 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*u = -5*u - 57*u - 88*u + 5975 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + (1 - -2) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 - v - 2. Suppose -5*n + 9*n + 12 = 0. Let s(r) = -5*r**2 - 4*r - 1 + 2 - 7. Let a(b) = n*s(b) + 8*y(b). Give a(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*y + 10 = -2, 5*m + 2*y = 30. Solve m*t - 4*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3858762 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: What is the next term in 355, 1283, 3329, 7051, 13007, 21755, 33853, 49859?\nAnswer: 70331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -34. Let w = 23 - b. Suppose -5*h - 277 = -4*v, 4*h - w = 3. What are the prime factors of v?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**7\/630 - v**6\/60 - 2*v**5\/15 + 2*v**4\/3 + 19*v**2. Let l(w) be the second derivative of s(w). Let l(c) = 0. Calculate c.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 19. Give t(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -156 - -169. Which is the closest to i? (a) 1 (b) 4 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2*i**2 + 2*i)*(4*i**2 - 4*i**2 - i**2) - i**2 - i**4 + i**2 - 47*i**3 + 47*i**3 - 16*i**4 + 3*i**4 + 6*i**4 - 5*i**4.\nAnswer: -11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1667 - -1671 - (0 + 21) - -66?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 s, 1 g, and 1 a when four letters picked without replacement from yycasysycyyycwgscws?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c - 2. Suppose 3*m - 5*i = -17, -4*m - 13 = 2*i + i. Let o be q(m). Calculate the greatest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94.0000041 + 94. What is m rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -267692*0.32\nAnswer: -85661.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 88 and -25318.\nAnswer: -2227984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 = -9*x + x. Suppose -u = -4*i - 12 + 505, -5*i + 3*u = -611. Calculate the remainder when i is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*t + 4*t. Let f be (-1)\/t + (-84)\/20. Let w(a) = -2*a - 1. Is 7 a factor of w(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmfs when four letters picked without replacement from {n: 8, m: 2, e: 3, s: 1, f: 3, i: 1}.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 10*j + 1. Let f = -842 - -831. Does 13 divide a(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4.1 (b) -1\/3 (c) 1\/5 (d) 4\/9 (e) 0.4 (f) -14 (g) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/25, -10, 8, 5, -32, 4, -4 in ascending order.\nAnswer: -32, -10, -4, 18\/25, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 11 = 5*u, 0*u + 2*u - 4*m = -4. Suppose 8*z - 2 = u*z + 3*h, -h = 5*z - 12. Factor 1 - 5\/2*r**z + 3\/2*r.\nAnswer: -(r - 1)*(5*r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 2 + 3\/2*o**2 + 7*o. Is y(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48103.29 years?\nAnswer: 577239.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2 - 212*q + 72. Give x(35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (17 - -7 - 47)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 6*f**3 + 2*f**3 + (-f**2 + 2*f - 2*f)*(-4*f + 5*f - 2*f))*(990 - 990 + 114*f).\nAnswer: -228*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1795632?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (30\/8)\/((-15)\/40). Let y be 1 - -2 - -6*(-4)\/6. List the prime factors of (-472)\/d + y\/5.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 9*y. Suppose y = w + 8*w - 36. Let n be (1 - 2) + 3\/(w\/4). Are n and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -q - 0*q. Let r(a) = -4*a**3 - 3*a + 3. Let t(s) be the first derivative of 1\/4*s**4 + 0*s**3 + 1\/2*s**2 - s + 28. Calculate q*t(g) + 2*r(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000552 rounded to six decimal places?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 28 + (-17 - -7) + -20 - (-1 - 26)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a**2 + 11*a + 8. Let f(c) = 5*c**2 + 9*c + 7. Let h(k) = 2*d(k) - 3*f(k). Calculate h(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74546053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (23\/(-3))\/(5\/(-15)). What is the third derivative of -2*k**5 + 12*k**2 - p*k**2 + 13*k**2 wrt k?\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 17 = -k. Let q(b) = -6*b**3 - 2*b**2 + 2. Calculate the remainder when k is divided by q(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1637\/52 - 42\/13. Which is the second smallest value? (a) 0 (b) z (c) 0.2 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, 5, -1, 0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - -1*(-18)\/(-2). Let r = 298 + -301. Let h be (10\/(-125))\/((-6)\/(-10)). Which is the fourth smallest value? (a) -2\/9 (b) h (c) r (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -12*j**2 + 18*j**2 + 3*j**2 - 8*j**2. Let f(q) = -11*q + 3. Let o(h) = -77*h + 22. Let s(u) = -22*f(u) + 3*o(u). Give s(r(p)).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 133\nAnswer: 10\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22156\/(-435) - (-21 - (14 + 15))?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h**3\/7 + 744*h**2\/7 + 6222*h\/7 - 1156\/7 = 0.\nAnswer: -17, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -3, -133961, 0, -4, 5 in decreasing order.\nAnswer: 5, 4, 0, -1, -3, -4, -133961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 4:37 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -35 - 641068\nAnswer: -641103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*r + 43 - 9236*r**2 - 55*r + 9228*r**2 in the form j + p*r + t*r**2 and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1445 and 169042747?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 517 - 311. Let w be (u\/4 + 3)*2. Suppose l = -0*l + w. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16849\/1131 - 14)*((-100)\/(-28) + -1).\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let -y**5\/3 - 361*y**4\/3 - 18467*y**3\/3 - 122039*y**2\/3 + 46956*y = 0. Calculate y.\nAnswer: -301, -52, -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3800 and 32250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*(sqrt(35) + (sqrt(35) - (sqrt(1260) - 2*sqrt(1260))) - sqrt(35)))\/(sqrt(35)\/(sqrt(20)\/sqrt(4))*-1) + -5.\nAnswer: -9 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 - 1323*i**3 - 2637*i**2 - 1317*i.\nAnswer: -3*i*(i + 1)**2*(i + 439)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 747586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 0.27, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 23 = 2*s. Let z = 15 - s. Let q = 5 + -4.7. Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 345876641 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*l + 16*l - 140. Let u = 3 + -2. Sort l, u, -5 in increasing order.\nAnswer: -5, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.09 + -0.29. Let z = 62 + -62.1. What is the closest to z in -2, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122 + -86. What is the greatest common divisor of t and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5095 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 0*g - 5*o - 20 = 0, 0 = 17*g + 36*o - 39*o - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a68c773 + -4?\nAnswer: a68c76e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5*i - 424, -u + 139 = -i - 3. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 7:24 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v - 22. Let b(k) = -6*k + 18. Let f(w) = -5*b(w) - 4*l(w). Let m(h) = -4*h + 3. Determine 5*f(s) + 3*m(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, 2\/7, -6674?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(108) - (-3 + sqrt(108))) + (-5 + sqrt(108) + 1 - sqrt(108)))**2 + -4.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/76 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -716, -1477, -2238, -2999?\nAnswer: -3760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11935\/42*(23 - 9 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -5*n - 10, -3*n + 10 = -7*n + 2*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (16 - 1)\/(-1). Let w = d - 11. Let y = w - 3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 o when three letters picked without replacement from ossssssos?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2, 0.49?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -597595\/156 - -46568\/13. Let g = -961\/4 - f. Is -1\/3 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.33. Let m = v + 0.009. What is m rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*s + 2*y + 2*y, 0 = 3*s + 5*y - 10. Let c(i) = s*i**2 - 2*i**2 + 2*i - 1 - i**2 + i**3. Let n = -72 - -70. What is c(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**4 + 6*p**4 + p - 11*p**4 - 6*p**3 + (-5*p**3 + 3*p**3 + 0*p**3)*(-4*p + p + p) in the form t*p + z*p**2 + n*p**3 + j*p**4 + i and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 8:40 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 2851?\nAnswer: 2854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 54388.31 to the nearest 100.\nAnswer: 54400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3324976500 rounded to the nearest one million?\nAnswer: -3325000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 13) + 7 + -12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-2) + -8 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300)*3 + sqrt(1300))*-1)**2 + (sqrt(1300) + 2)*-2 + (-2 + -6*(-2 + sqrt(1300)))**2.\nAnswer: -1220*sqrt(13) + 67696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -979 - 162*u**2 - 982 - 45*u**5 + u**4 + 1961 wrt u.\nAnswer: -2700*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*c**4 - 1 + c**3 + 8*c - c**2 - c**3 + 45*c**4 to i + b*c**2 + f*c**3 + l*c + g*c**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 480 and 5183456.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w + 5120 = 27*w. Suppose -7*a - 293 = -w. What is the remainder when a is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 2*d**2 - d**2. Let a = -7 - -11. Let c(i) = -9*i**2 + 15*i**2 - a*i**2. Give c(z(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2539657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2323)\/(-101))\/92)\/((-11)\/(-64)*2)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*f - 38*f + 225 - 131*f.\nAnswer: -206*f + 225","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 7 - 2, -5*z = 2*u - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 3*n - 12. Let v be r(-2). Let c = 0.2 - -0.3. What is the second smallest value in -4, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3352 = 13*b + 648. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2425, -4, -1637 in decreasing order.\nAnswer: 4, -4, -1637, -2425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1078 - 13b?\nAnswer: b39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*w**2 - 32\/3*w - 64\/3.\nAnswer: -4*(w + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - ((15 - (5 - (6 - 2))) + -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 76, 152, 258?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -498\nAnswer: 8\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43.9*755205.\nAnswer: 33153499.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x**2 - x**2 + 16*x - 11*x - 35*x.\nAnswer: -16*x**2 - 30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16513 - -1?\nAnswer: 16514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 115, 126, 135, 142?\n\"Answer: -k**2 + 14*k + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -12120242233?\nAnswer: -12120242223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 0*u**2 + 0*u**2 + (-2*u + 3*u - 2*u)*(0*u + 4*u - 2*u) - 3*u - 2*u**2 + 3*u + 2 + u**2 - 2 + 26*u**2 - u**2 - 7*u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15a7272 + 12?\nAnswer: 15a7284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 4. Let r = -30578\/13 - -2352. Which is the fourth biggest value? (a) -0.3 (b) r (c) w (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 208846.2 months?\nAnswer: 1740.385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 55.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + 1*sqrt(102))*-2 + -1*sqrt(102)*-2)\/(-2*(sqrt(864) - (1*sqrt(864) + sqrt(864)))).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-6) + 20*(-27)\/(-90)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10036 is divided by 346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*l = 466*l + 279*l + 16771 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 108169149 to the power of 1\/2, to the nearest integer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 15862 = -4837. Calculate the remainder when 47 is divided by v\/(-126) + (-1)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12.839? (a) 0.4 (b) 1\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/36)\/((-12)\/(-8)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110220 + 110210?\nAnswer: -2000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 33.6. Let y = 3.189 + -0.619. Let k = i + y. Round k to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164 + -97. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 + 1 + 45 + -35.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*s - 2. Let c be (-14 - -14)\/(2 - s). Suppose c = n + 1 + 2. Put -4, n, 5 in ascending order.\nAnswer: -4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -3\/16, 0.4, 268 in descending order.\nAnswer: 268, 0.4, -3\/16, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48584976*c**3 - 26*c + 26*c.\nAnswer: 48584976*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -54*l - 74. Let b(d) = -80*d - 111. Let c(n) = 5*b(n) - 7*s(n). Let x = -57 - -48. What is the tens digit of c(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**7\/84 + r**6\/30 - r**4\/12 + r**3\/12 + 7*r. Solve p(i) = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggii when four letters picked without replacement from {q: 5, g: 4, i: 5}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from xhhxe?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 m, and 1 e when three letters picked without replacement from {q: 4, m: 1, w: 2, n: 5, e: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(12) + sqrt(432) + -3 - sqrt(12))*6)**2.\nAnswer: -41472*sqrt(3) + 254016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 28. Give a(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-36) - 100\/(-36). Suppose h*j - j + 2 = -2*f, -j = -5*f + 1. Suppose -5*d - 2*d + 42 = f. Which is greater: d or 22\/3?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11\/33)\/((-2)\/12). Let x(b) = b**3 + 3*b**2 - b - 4. Let k be x(a). Solve -2*q + q = k*t + 8, -3*q + 5*t + 9 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846587557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -5. Let x be 2\/5*(-50)\/i. Let j be (x\/4)\/((-2)\/(-8)). Let s(m) = -2*m**3 - 2*m**2 + 2*m + 2. Determine s(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 4*k**2 - 7*k + 1. Let r be n(5). Let g be (-1)\/3 - 30\/r. Find f, given that 2*f + 2*f**3 + f**2 - 3*f**g - f - f**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 12:55 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 431568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 158901502 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5 - 28*a**4 + 184*a**3 + 562*a**2 - 2295*a - 4950 = 0?\nAnswer: -33, -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 8 + 11 + -23 + 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l)**42)**(4\/21)*((l*l**(-1)*l)\/(l**(-1)*l))\/(l**(1\/7)\/(l*l**(4\/5))) assuming l is positive.\nAnswer: l**(93\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.5 - 7.5. Which is the nearest to -0.5? (a) -0.3 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 1347 + 153. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + (16\/(-4) - (-7 - 2)). Sort 0.2, -3, g, 0.6 in decreasing order.\nAnswer: 0.6, 0.2, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*((-134)\/11 + (-106)\/(-583)). What is the highest common divisor of 4308 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - 41 - (-1 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 752, 791, 842, 911, 1004?\nAnswer: 1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -23*w**2. Let v(x) = -264647*x**2. Determine v(i(r)).\nAnswer: -139998263*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 + -30251086508.\nAnswer: -30251086508.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 47, 610\/9, -3\/4?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4996266 divided by -27302.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3477.7 - -4373.2523691.\nAnswer: 895.5523691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 115, -2 in decreasing order.\nAnswer: 115, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 82 = -12. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -14. Let j be (-4)\/10 + (-54)\/w. Let v(r) = r + 6. Let g be v(-5). Solve l + j = g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2973860 + -28253.\nAnswer: -3002113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 294586162*n**2 - 398756654 wrt n?\nAnswer: 589172324*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -117*q - 7478. What is v(-64)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*t - 15*t - 12 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 1 - (-739 - -735).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -415, -6\/71 in increasing order.\nAnswer: -415, -6\/71, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -15734\/92061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 322826419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 25 = 6*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 284, 405, 514, 605, 672, 709, 710?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378*z + 380*z - 112 = 0. Suppose -55*n + z*n = 71. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -26*z + 60. What is the hundreds digit of i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p = -18324 + 19116 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 f, and 1 g when four letters picked without replacement from frrfgfpfgpgrfpfrgrgp?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*k + 185366 = -88193, 820653 = 3*y + 3*k. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/6, 3\/2, -2310, -0.4, -3\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.317 (b) 3\/8 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2. Let h(p) = -2*p - 2. Let o be h(-4). Let j(q) = -3*q**2 - 3*q - 3. Let w(b) = -6*b**2 - 7*b - 7. Let m(s) = o*w(s) - 14*j(s). What is t(m(d))?\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2588 is divided by 88?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97 - 13*l**3 - 2*l**2 - 9*l**3 - 38 + 29*l**3 - 8*l**3 to u + b*l**3 + c*l + s*l**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 + z**5 - z**4 + (-12*z**2 - 13*z**2 - 6*z**2)*(-2*z**3 - 3*z**2 + 3*z**2).\nAnswer: 63*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, v: 5}. What is prob of picking 1 r and 1 v?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4976 = -11*p, 2*p - 463 = -3*x + 424. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 225*u. Let j(y) = 205*y + 360. What is j(v(q))?\nAnswer: 46125*q + 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2642*n + 3. Let t(b) = -2*b**2. What is s(t(o))?\nAnswer: -5284*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 860.3302ng in tonnes?\nAnswer: 0.0000000000008603302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -87, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -96*h**3 + 20*h**2 - 11*h + 177. Let z(u) = -52*u**3 + 11*u**2 - 6*u + 88. Give 6*b(p) - 11*z(p).\nAnswer: -4*p**3 - p**2 + 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9132, 9043, 8878, 8631, 8296, 7867, 7338?\nAnswer: 6703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m - 2*m**4 + m**5 + 3*m - 4*m**2 + 6 - 12*m**3 + m**5 + 10*m.\nAnswer: 2*(m - 3)*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 2:49 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 11 = -4*p + 19, 0 = 3*p - 3*m. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17047\/2 + 8766. Let b = -292 + y. Find the common denominator of -1*107*(-1)\/18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 64666.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31104?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1\/7, 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1960274 millennia to months.\nAnswer: 2352.3288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.347 (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 210*g**2 - 9233*g + 2938525.\nAnswer: 420*g - 9233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 3728790?\nAnswer: 14915160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 27*u + 3. What is f(27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - ((23 - 30) + 23 + 31).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 743*o - 44*o**2 - 372*o + 22*o**2 - 371*o. Let b(d) = -33*d + 4. Calculate g(b(k)).\nAnswer: -23958*k**2 + 5808*k - 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (31 + -10 + 7 + -8 + 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 4:10 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1202 (base 6) to base 8\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 - 3*p**4 + 0*p**3 + p**4 - p**2 + 2 - 1 to t*p**4 + l + w*p**3 + r*p**2 + u*p and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/(-15*11\/(-550)). Sort -2, 0, v in ascending order.\nAnswer: v, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41.3 + 40. Is -1\/4 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 70\/(-7) - -6 - -8. What is the closest to 7 in u, 1, 3, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 922.262934601 and 0.2?\nAnswer: 922.062934601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*2*33\/12 is divided by -2*8*(-168)\/448?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61288*z**3 + 3*z**2 + 22685 wrt z.\nAnswer: -367728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -11*l**6\/720 - l**5\/120 - 5*l**4\/12 - 4*l. Let s(p) be the third derivative of u(p). Is s(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1537 + 295 = 138*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55673930?\nAnswer: 2, 5, 13, 109, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6144*i - 382*i + 38*i.\nAnswer: -6488*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 5*f - 10, 2*f + 202*h = 208*h + 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1669?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y + 23 + 8*y - 45*y + 11*y.\nAnswer: y + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 - 5 + 6)*(i - 2 + 2).\nAnswer: 89*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 35*i = 30400. Let u be i + -1 - (-1 + -1 - -1). Round u to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 14*q**2 + 188*q - 10. What is p(6)?\nAnswer: 1622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -4, 62, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08972399 to 3 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -10 - (-2 + 2)) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 127\/263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5 - 57*b**4 - 443*b**3 + 1305*b**2 + 1692*b = 0. Calculate b.\nAnswer: -47, -12, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 - 4*d**2 + d - d - 3*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 15*j**2 + 19*j - 50. Give l(15).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 209454*j**2 - 1183684.\nAnswer: 418908*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69.5 - 0. Let b = h - 70. What is the second biggest value in -1, -8, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p + 0*p - p)*(-2 - 2*p + 2) - 2*p**2 - 8*p**2 + 13*p**2 as g + s*p**2 + r*p and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 15*o + 100. Let c be v(20). Let k = 10.5 - 9.9. What is the closest to 2\/3 in -3, -2, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 2*m - 20, 4*q + q + 35 = 5*m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9 = -r + w, -w - 11 = -3*r. Suppose 7*j = r*j + 25. What is the second derivative of -5 - 6*g**2 + 8*g - g + j wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/17)*j**(-1\/3))\/((j*j*j**(-2\/3))\/j**(-3\/4)) assuming j is positive.\nAnswer: j**(-469\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2, -1, -6, -10113?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 46*b + 15. What are the prime factors of d(5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 + 107. What are the prime factors of n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/8)\/n*n*n**(-8)*(n**(-1))**(-13)*(n**2\/n)**(-1\/3)\/(n*n**(1\/2)*n*n**9\/n) assuming n is positive.\nAnswer: n**(-137\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**22*g*g*g*g**18*((g\/((g**(-2)\/g)\/g))\/g)\/(g*g*g**19) assuming g is positive.\nAnswer: g**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**2 + 3 - 3)*(-g - 4*g + 3*g) - 736*g**3 + 24*g**2 - 25*g**2 + 732*g**3 - 15*g to i*g**3 + l + v*g + r*g**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -125, -355, -603, -875, -1177, -1515, -1895, -2323?\n\"Answer: -v**3 - 3*v**2 - 214*v + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -845*l**4\/2 + 2166*l + 1709. Differentiate b(m) wrt m.\nAnswer: -5070*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1516 is divided by 112?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 33*a**2 - 37*a - 156. Calculate q(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + u**2 + 4*u - 3. Let l be h(2). Suppose -z + 4*z - 6 = 0. Sort -12, l, z in descending order.\nAnswer: z, l, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24852 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.016 rounded to 1 decimal place?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - 0) + -7 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 4, 31, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222 and 4736?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1 - (-6 - -4 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s\/(s**(-39)\/s))\/s*s*s\/s**(1\/2)*s assuming s is positive.\nAnswer: s**(87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/((-19)\/76). Suppose -43*a + h = -42*a. Solve -3*r = 5*j + 10, 0*j = -a*j - r - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55898467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33980651 - 54402149 = 11*y. Round y to the nearest 100000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06176, -0.3, -2\/5, -212 in decreasing order.\nAnswer: -0.06176, -0.3, -2\/5, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 593818*b**5 + 3*b**3 - 9942809*b**2 wrt b?\nAnswer: 35629080*b**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5463*j**4 - 1495*j wrt j?\nAnswer: -65556*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45752?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.4036 (b) 1 (c) -0.2 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3828 and 4080764?\nAnswer: 134665212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.41 + 0.41. Let c be (-6)\/20*(-20)\/(-24). Put x, c, -5 in increasing order.\nAnswer: -5, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2\/2 + 55*o\/2 - 65.\nAnswer: 5*(o - 2)*(o + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 295, 616, 1063, 1636?\nAnswer: 2335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 8. Let r(v) = -v + 7. Suppose -8 = -z - 2. What is z*r(h) + 5*b(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 0.076\nAnswer: 0.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13 and 5620157.\nAnswer: 5620144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w**2. Let a be v(2). Let b = a + -22. Calculate the greatest common divisor of b and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66479.52 hours to nanoseconds.\nAnswer: 239326272000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 + 298?\nAnswer: 2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -4 - 1\/5*d**3 - 3\/20*d**4 + 3\/5*d**2 + 0*d. Solve z(j) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 5*z + 8. Let h = -3 + 8. What is the units digit of o(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxixacykciyx. What is prob of picking 1 y, 2 i, and 1 a?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354370.2g to nanograms.\nAnswer: 354370200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1136070304 - 5.4\nAnswer: 1136070298.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/163? (a) 5 (b) 1\/2 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + -13 + (45 - 30)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppddddd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 c when three letters picked without replacement from {l: 5, c: 4, q: 6}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 2*b - 23, 5*b = -7*a + 826 - 827 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (12 - 8) - 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 7:50 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -392 * -282\nAnswer: 110544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3203, -3216, -3229, -3242, -3255, -3268?\nAnswer: -3281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 7*q**2 - q + 7. Let n be u(7). Let j(d) be the second derivative of n*d**2 - 1\/54*d**4 + 0 + 1\/27*d**3 + 2*d. Find r such that j(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 5)*(-3*w**2 - w**2 + 3*w**2)*(2*w + w - 5*w) to the form h*w**3 + i*w + p*w**2 + o and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 243939 a multiple of 1333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 8*j - 2. Let z be l(-7). Suppose -z = 5*f + 4*w, -2*f + 3*f + 12 = -3*w. Let r = 2 + -2. Which is the smallest value? (a) -0.5 (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8809149 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/4)*q*q\/(q*q\/(q*q**(-2\/7)))*(q*q**(-1\/5)*q)\/q**5*(q**(2\/3)*(q\/q**(-1))\/q)\/(q\/(q**(-1)\/q))**(-4) assuming q is positive.\nAnswer: q**(4381\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -2*c**3\/3 + c**2 + 3*c - 3. What is j(4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121 + y + 25 - 15*y**3 + 14*y**3)*(7 + 22 + 96).\nAnswer: -125*y**3 + 125*y - 12000","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1589289 is divided by 546.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -102?\nAnswer: -cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-553 + 63 - 9)*(2*z**3 + 2 - 2).\nAnswer: -998*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -229*v + 19551. Give r(87).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 349179373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*f + 10738 + 7404 + 7422 = 142*f for f.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.09 - -3. Let b = g + 5.09. Put 0, 2, b in increasing order.\nAnswer: 0, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22847 by -3.\nAnswer: -22847\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43, 136, 279, 472, 715?\n\"Answer: 25*k**2 + 18*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(28) - sqrt(7)) + -2 + 1 + sqrt(7) + sqrt(49)\/(2*sqrt(343) - sqrt(7)).\nAnswer: -77*sqrt(7)\/13 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54708, 219181, 493302, 877071?\nAnswer: 1370488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i - 26*i = -2*m - 36, -5*i = 6*m + 52 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1670831 >= -53466545\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 31 (c) -10819\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 5*o**2 + 4*o + 4. Let q be x(4). Suppose -3*p + q = -p. What is the second derivative of r + 3*r**3 + r**3 - p*r**3 wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1. Let j(m) = -m - 7. What is -j(o) + 4*x(o)?\nAnswer: o + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.302 rounded to 0 dps?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4648 + 13800. Does 51 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -827 + 1067*k**2 + 292 + 535.\nAnswer: 1067*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01099 rounded to 4 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 10:13 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0305*0.5.\nAnswer: 0.01525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/4*(14 + -1). Let c = j + 35. What is the second derivative of -24 + 5*k**4 - 24 + c - 19*k wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 5, t: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2730*t - 455. Let o(b) = 78*b - 13. Let h(k) = -104*o(k) + 3*y(k). Is h(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 0*z - 4*z + 14*z - 9*z. Let c(x) = -108*x. What is c(k(q))?\nAnswer: -108*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u - 9. Let g(r) = -1. Let k(q) = 5*g(q) - h(q). Let z be ((-39)\/(-27) - 1)\/((-48)\/(-17712)*41). What is k(z)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.33421213 rounded to 3 dps?\nAnswer: -4.334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -749407 divided by -9029.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -10*t. Are t and 2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kckkrrrihrrkrrirrrrk. Give prob of sequence crri.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p**4 + 9*p**2 - 5. Let f(j) = -4*j**4 + 4*j**2 - 2. Let q(r) = -5*f(r) + 2*l(r). Find the third derivative of q(o) wrt o.\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3132)\/1134 + (-4)\/(-42)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 f when four letters picked without replacement from fynnnnnnnfnnfnnynn?\nAnswer: 13\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 23. Suppose d - 1 = -2*y, -3*y + 4*d = -s*y + 18. Suppose 5*k - 2*g - 1 + 16 = 0, 5*g = 0. Which is the closest to -2\/3? (a) 2 (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 691140 (base 11) to base 12\nAnswer: 4503ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpj when three letters picked without replacement from dbbjppdjdjddjdbdsjj?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 13288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19234975 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4629 = 5*h + 944. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -463633 (base 7) to base 4.\nAnswer: -110100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 6*h**3 + 5*h**3 + h**3 + 3*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -8030\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**3 - 3*z**2 + 2*z. Let a be r(3). Suppose -2*c = 2*c - a. Suppose 4*n + n - c = -k, -2*n - 2*k + 14 = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 18. Let w be v(17). Calculate the highest common divisor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*b - 1007 = 438. Sort 30, -7, b, 4.\nAnswer: -7, 4, b, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.005, -2.3, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 0)*((-5*o + 4*o + 0*o)*(-2*o - 2*o + 3*o) - 2 + 2 + 2*o**2).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 187234677 to the power of 1\/2, to the nearest integer?\nAnswer: 13683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1051.6 - 1041.6. Which is smaller: -9.8 or l?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46\/15 - -703\/30. Let g = -26 + x. Which is the second biggest value? (a) 0.1 (b) -3\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -488 - -1304. What is the greatest common factor of 48 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 - 1 - (180 - 125) - (2 + -1 + -8)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19366508?\nAnswer: 2, 7, 691661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z + 3. Let l(d) be the first derivative of -d**2\/2 + 3*d - 3. Let p be l(5). Give r(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 2*d + 2, 91*j - 94*j = 4*d + 37 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + -2 + sqrt(605))*-6.\nAnswer: -132*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 1, p: 1, d: 2}. Give prob of sequence pqd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 6*p - 12. Let u be x(-9). What is the second derivative of -27*g - 13*g**5 + 0 + 0 + u*g wrt g?\nAnswer: -260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 148 - 79. What is the remainder when m is divided by (-13 - 6)*(2 + -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.7788 millilitres to litres.\nAnswer: 0.0507788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u**3\/2 + 2405*u**2\/2 - 1464*u + 266 = 0. What is u?\nAnswer: 2\/9, 1, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - d + 1. Let l = 7 - 6. Suppose 0 = -3*o + 1 + 5. Calculate the remainder when o is divided by g(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**3*v**5 + 1226*t**3*v**3 - 19*t**3*v + 5611*t*v**2 + 44*v**3 wrt v?\nAnswer: 60*t**3*v**2 + 7356*t**3 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 43*t + 1. Let y be b(5). Suppose -3*v - y = -5*v. Suppose 20 = -4*z + v. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3)*l*l*l\/((l*l**(12\/7))\/l))\/(((l\/(l\/l**(1\/8)))\/l*l)\/l)**39)**(-8) assuming l is positive.\nAnswer: l**(-6005\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35572468 divided by -17786234.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f - 103*f - 385 = -57*f for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 10\/9, 2, -34.6, -0.4?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/33 + -2\/11. Let w = -8177 - -8172. Put -0.2, w, l, -3 in ascending order.\nAnswer: w, -3, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 7:22 AM?\nAnswer: 452","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 17. Let l = 6 + s. Which is smaller: l or 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-27)*-2*18\/(-112)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(((w\/(w*w**(-2\/3)\/w))\/w)\/w)))**(13\/6))**(-18) assuming w is positive.\nAnswer: w**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -30286?\nAnswer: -30286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-139080)\/1037 + 134 + 854\/34\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/45 + (-1)\/15 + (-70 - (-9971)\/143)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25737, 25718, 25745, 25842, 26033?\n\"Answer: 4*c**3 - c**2 - 44*c + 25778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Let q(m) be the third derivative of m**4\/24 + 6*m**2. Give n(q(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 11:28 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7156763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-2 - -1 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/(w*w\/(w*w**(-6\/5)\/w))*w)\/w)**(-32\/7)\/((w**(-10)*w)\/(w\/(w*w**7))) assuming w is positive.\nAnswer: w**(262\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168.9 - -169. Which is smaller: i or 143?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -835*f. Let j(w) = -47 - w**2 + 18 + 29. Give j(o(u)).\nAnswer: -697225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 1. Let w be j(-3). Suppose w*d = 5*z + 6*d - 37, -d = -z + 2. Suppose 5*s + g - 2 = 0, 4*s + 2 = 5*g - 8. Solve s = -z*f + 3 + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1420\/11 + 9057\/44. Let s = l - 75. What is the common denominator of s and 1\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 868420296 divided by 1266.\nAnswer: 685956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11105781 and 837.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by 3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-7 - -12) - (0 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/475*185\/(-148)*4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/3 and -23\/2198.\nAnswer: 6594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 1. Let p(c) = -11*c - 12. Let t(f) = 18*h(f) - 2*p(f). Calculate the remainder when 87 is divided by t(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29877 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 345735 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 the second derivative of 388980*l**2*v**2 - 62*l**2*v + 5*l - 71*v**2 + 27142*v wrt l?\nAnswer: 777960*v**2 - 124*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.7 and -0.092.\nAnswer: 0.3404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(-6\/11)*l)\/l)**(-8) assuming l is positive.\nAnswer: l**(-40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - ((-19 - 19) + 25).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 4*p**2 + p - 1. Let g be k(4). What is the third biggest value in -2, g, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*w - 51, 4*u + 45 = 6*u + w. What is the tens digit of (-2)\/6*(-75 - u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 189 - 247. Let a be ((-2)\/(-1))\/((-29)\/t). Solve -5*p + 20 = -2*m - 2*m, 4 = p + a*m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*d + 332*d - 524. Find k such that -1\/2*k**4 - d*k + 3\/2 - k**2 + 2*k**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**(-2\/7)\/p*p)\/p)\/p)\/p*p*p**6*(p\/p**0)**(-31\/3) assuming p is positive.\nAnswer: p**(-97\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.16582 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-99)\/(-70) - 225\/(-750). Suppose -10\/7*q**2 - 8\/7 - 24\/7*q + i*q**3 = 0. What is q?\nAnswer: -2\/3, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12608 times -23?\nAnswer: -289984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26984.\nAnswer: 2, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-27)*-12)\/(49\/(7203\/784))*16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(10\/13)*p\/p**(9\/4)*(p*p**5)**(-6\/5))**(-37) assuming p is positive.\nAnswer: p**(73889\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/9 - 56*k**2 - 1526*k\/9 - 340\/3.\nAnswer: 2*(k - 255)*(k + 1)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 290689*-26\nAnswer: -7557914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18632840419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 191 + -492. Let v = i - -300.7. Which is the closest to 1? (a) v (b) 0.4 (c) -1 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021909?\nAnswer: 7, 145987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**2. Let o(b) = -3*b + 2. Let u(i) = i - 10. Let j be u(5). Let g(h) = 7*h - 5. Let r(m) = j*o(m) - 2*g(m). Give f(r(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1150 and 50?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20209 - -526. What are the prime factors of w?\nAnswer: 5, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -14*j**4\/3 + 10*j**3\/3 + 32*j**2\/3 + 8*j\/3 = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4009 - 5089 - 4141 + 15349)*(-3*j - 2*j + 4*j).\nAnswer: -10128*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1929308 divided by 244?\nAnswer: -7907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w - 32 = 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.1046411 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*c = 740*p - 735*p + 20300, -2*c = -3*p + 144 for c.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*2*(sqrt(1053)*1*5 + -1)*-1)**2.\nAnswer: -23040*sqrt(13) + 6739456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 + -55.4. Let h = b + -8.5. Let g = 6.64 + h. What is g rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -1012012?\nAnswer: 1012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3329*l**2 + 345*l**2 - 1407*l**2 + 2378*l**2 + 2274*l**2 to v + n*l**2 + w*l and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -7\/12*g**4 - 15*g**2 - 1\/6*g**3 + 0*g - 1\/60*g**5 - 4. Determine h(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 10 + 0)*(0*i**2 - i**2 - i**2) - 6*i**2 + 9*i**2 - i**2.\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-68)\/(-5) + 18\/(-30). Suppose -14*w + 2 = -c*w. Solve -2*u - u + 6 = f, -1 = -f + w*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*(-1 + sqrt(272)*2)*4)**2.\nAnswer: -6400*sqrt(17) + 435604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2. Let l(s) = -2*s - 11. Let j be l(-7). Let f(y) be the second derivative of -1\/3*y**j + 0 - y + 0*y**2. Determine f(t(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -141402 - 241?\nAnswer: -141643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 7*m - 26. Let w be k(-4). Suppose 245*a = 251*a - w. Solve -4*b + a = -13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + -7 + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1\/6 (c) 2\/5 (d) -5\/3 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -43, 5\/3, 4 in descending order.\nAnswer: 5, 4, 5\/3, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-826*p + 309 - 309)*(1 - p - 4 + 1) as o*p**2 + c + a*p and give o.\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*s**2 - 9*s - s**3 - 6*s**3 + 18*s + 3*s**3 = 0 for s.\nAnswer: -2, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 564348141202.\nAnswer: 564348141199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 1, m: 8, l: 1, s: 1}. What is prob of sequence sum?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.5 times -5102?\nAnswer: 670913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 + 1550*o**3 - 110465*o**2 - 1497300*o - 4665780.\nAnswer: -5*(o - 161)**2*(o + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31272 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0 + 0)*(-53 + 3103*a**4 + 23 + 27).\nAnswer: 3103*a**5 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760*z - 1989 = -1699*z + 786*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2\/15, -4648?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 5*z**2 + 24*z - 447. Calculate n(0).\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 6 - 0. Suppose -4*u - d*n + 17 = 0, -n - 7 - 14 = -4*u. Suppose -5*z + w = -51 + 6, -z + 9 = u*w. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 116\/16 + 21\/12 + -1. Let o(r) = -135*r**2 - z*r + 252*r**2 - 124*r**2 - 5 + r**3. Determine o(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/28)\/((-6)\/12)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 4*y**2 - 5*y + 5. Let r be t(-5). Put -1, 2, r in descending order.\nAnswer: r, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 1 = -9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 94350900635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrdrrgqrdkuqrrr. What is prob of picking 1 u, 1 k, and 1 r?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 2*m**2 - 5*m - 6. Calculate u(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -371 - -371. Solve 2*y + 4*h + j*h + 4 = 0, 0 = -5*y + h - 21 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6498 divided by 9.\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 147, 159, 165, 159?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 + 85. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 3 - 7. Suppose -c*f + 7 = 3. Suppose 0*z + f*z = 60. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -560 (base 8) to base 11.\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17046 + 134*s**2 + 2025*s**2 + 562*s**2 + 17046.\nAnswer: 2721*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7483756 is divided by 60.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2 - 8*w\/5 - 66\/5 = 0.\nAnswer: -11\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 4*y - 17. Let v = -21 + 22. Suppose -v + 8 = o. Calculate the remainder when 7 is divided by b(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 477 = 3987. Suppose 8*o = -o + v. Calculate the greatest common factor of 546 and o.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w - 16. Let s be z(2). Suppose s = -6*i - 4*i + 30. Suppose i*b + 5*g - 200 = 184, 2*b = -3*g + 257. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 + 18*h - 2. Give a(-7).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 - 0.07. Let r = -126 + 129. What is the biggest value in 0.4, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c + 11*c = 896. Calculate the greatest common factor of c and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1458 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*u**5 + u**4 - 112*u**3 + 224*u**2 + 5*u + 16 wrt u?\nAnswer: -5340*u**2 + 24*u - 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 - 8*q**2 + 647*q\/2 - 315.\nAnswer: -(q - 18)*(q - 1)*(q + 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 14 - 5*x - 27.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -22*w**3 + 21*w**2 - 52*w - 23. What is y(3)?\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7015 + -3442. Let n = 375421 - m. Suppose 2*y = 1665878 - n. Round y to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-3)\/6*26. Let r = d - 2. Is 15 a factor of (40\/(-6))\/(5\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 5. Let m be o(7). Let y be -6*(1 - 1\/m). Let c = -9 + 26\/3. What is the smallest value in 2\/3, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5 = -5. Let v(c) = c**2 + 2 - 2*c**3 + c**3 - c**k. What is the units digit of v(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 5. Let u be 2*5\/(-60) - 2\/(-12). Let 0*j - 2\/9*j**k + u - 2\/9*j**2 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-16)\/h**(8\/5) assuming h is positive.\nAnswer: h**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h - 5. Let a be u(-6). Suppose -s = -5*k + 44, 4*k - 3 = s + 33. Let j = k - a. Solve 4*r = 5*r + j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002594 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m + 2. Calculate l(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**(1\/5))\/h))**(-14))**(-42\/5)*((h*h**12*h)\/(h\/h**(1\/3)))**(-41) assuming h is positive.\nAnswer: h**(-33944\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**2 - 23*i + 4. Let j be y(-6). Which is the nearest to 1? (a) j (b) 2 (c) 8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a898 + 4?\nAnswer: 3a8a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -5, 59, -8, -91 in decreasing order.\nAnswer: 59, 7, 1, -5, -8, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 - 2*(-3 - -4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b - 1. Let x(z) = -2*z**2 + 37*z + 10. Determine -2*x(i) - 18*y(i).\nAnswer: 4*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1220 and 6640?\nAnswer: 405040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -392*0.003\nAnswer: -1.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + l**3 - 4*l + (2 - 5 + 4)*(-2*l**3 + 3*l - 3*l))*(2 + 3*l - 7 + 8).\nAnswer: -3*l**4 - 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 5. Calculate the smallest common multiple of g and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -759*i + 652*i = 107 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfdqvqqfqvdq. Give prob of picking 2 f and 1 d.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -8\/3*x**3 + 0*x + 1\/132*x**4 + 1\/330*x**5 + 0*x**2 + 1\/1980*x**6 - 6. Let c(l) be the third derivative of k(l). Factor c(a).\nAnswer: 2*(a + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 32.6625.\nAnswer: 130.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5135 - -8272. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.3065 - -21.0144. Let v = -1280 + 1286.63. Let q = v - x. Round q to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19239 by -1.\nAnswer: -19239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2. Let l(q) = -28*q + 17*q + 9*q. What is l(u(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147992016 to the nearest integer?\nAnswer: 12165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 52+0.836\nAnswer: 52.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494501 + 169501 = 13*o. What is o rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 + 7)*(o - 2*o - 2*o)*(-2 + 5 - 4)*(-2 - 1 + 0) to the form d + z*o and give z.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*k + 10*k + 967 - 967.\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8*i + 6. Let t(q) = 7*q - 5. Let o(p) = -5*g(p) - 6*t(p). Let x(d) = 3*d - 3*d + 4*d - 3*d. Let j(b) = -2*o(b) - 5*x(b). What is j(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9*q**2 + 2774*q + 635. Give m(-308).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61923644*q**5 - 467015*q + 23 wrt q.\nAnswer: 1238472880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 - 2430*j + 2 + 1310*j.\nAnswer: -1120*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, g: 1, e: 1, d: 4, j: 6}. Give prob of sequence jngn.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*((-3 + (sqrt(2299) - (sqrt(2299) - -2*sqrt(2299))*-5))**2 + 1 + (1*sqrt(2299))**2 + 2).\nAnswer: -3545125 + 6336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -254 - -254.5. Let u = -5 + 2. Which is the nearest to -1? (a) u (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5838, -1, 2, -186 in increasing order.\nAnswer: -5838, -186, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 143*n**2 + 2295*n + 308. What is q(85)?\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 295\/2 + -148. What is the fourth biggest value in 3, o, 0.4, 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 25*y**2 + 29*y - 23. Let h be t(27). Let q = -693 - h. Solve -4*w = 9*f - 6*f + 5, 2*f = -w + q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1308.8 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 13747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - l**2 - l - 1. Let p(t) = -3*t**3 + 4*t**2 + 4*t - 1. Let i(v) = -2*j(v) - p(v). Let s = 0 - -2. Calculate i(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89\/35 + -15\/7. Let y = -26 - -25. Let f be y\/((-4)\/4) - -3. Which is the second smallest value? (a) 1 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 6*x + 3. Let l be (2 - 1)\/((-1)\/3). Let m(h) = -3*h**2 + 7*h - 4. Let c = -664 + 660. What is c*v(r) + l*m(r)?\nAnswer: r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 + 1.99. Let u = g - 4. Is 2\/13 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-2 - (4 - -16))) + 1 + -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1612 divide 106514512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32\/19 + 2\/19*t**2 + 34\/19*t = 0. What is t?\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*i - 6, 1 = 2*i - 1. Find the third derivative of -15*u**4 - 11*u**4 - 25*u**2 - 9*u**4 + r*u**2 wrt u.\nAnswer: -840*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**2 + r**2 + 9*r**2 + (5*r + 4*r - 5*r)*(r + 2 - 2) + (r + 3 - 3)*(-2*r + 0*r + 4*r).\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13167165 by 13167165.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 193, 377, 553, 721, 881, 1033?\n\"Answer: -4*q**2 + 196*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5139*h + 123327. Determine f(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -12*n**2 - 4*n - 3. Let a(o) = 13*o**2 + 3*o + 4. Let u(y) = -3*a(y) - 4*d(y). What is the second derivative of u(x) wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - x + 52. Let l = -52 - -24. Which is greater: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11064971 or 11064970?\nAnswer: 11064970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 85750 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132320120123 + 3?\nAnswer: 132320120132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28694342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.013564 * -306.\nAnswer: 4.150584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c**2 + 11. Let x(p) = 5*p**2 + 9*p - 9*p - 6. Determine -11*x(t) - 6*z(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 73, 189, 379, 643, 981, 1393, 1879?\n\"Answer: 37*j**2 + 5*j + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. Let i(u) = -u + 15. Let f be -1 + (0 - -9) + 2. Let j be i(f). What is the greatest common factor of o and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/3 - (-8)\/(-2). Let f be (o\/(-2))\/((-3)\/8). Let n(h) = -h**2 - 2*h. Determine n(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2440*c**2 - 14*c + 2. Let o(a) = -7322*a**2 - 49*a + 7. Calculate 7*n(z) - 2*o(z).\nAnswer: -2436*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -18?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {g: 2, i: 2, s: 1, m: 3, k: 3, h: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.104, 5, -3?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9890 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2384 (base 9) to base 13.\nAnswer: a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2506.074 - 2506. Is -3 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12316656853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3721847 and -114?\nAnswer: 424290558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/((-76)\/24) - 0. Let p(a) = -5*a + 38. What is the lowest common multiple of p(g) and 77?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1) + (-14)\/(-16). Let k = -136093.8 + 136094. Which is the closest to k? (a) 0.4 (b) w (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*c = -1 + 2, 4*c + 8 = 0. Suppose -2*o = f + 3*o - 8, 44 = 3*f - x*o. Calculate the greatest common factor of 52 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -15*m + 32 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.00046, 137 in decreasing order.\nAnswer: 137, -0.00046, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**6\/30 - i**3\/6 - 22*i**2. Determine f(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4188.723 years?\nAnswer: 41.88723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30840 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42836?\nAnswer: 2, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000354112 to 6 decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21219 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.024 + -0.024. Which is the nearest to 0.1? (a) 4\/17 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0811213 and 0.05.\nAnswer: -0.004056065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 7\/(-2))*2. Let a be ((-4)\/(-6))\/(5\/15). Solve p = -a*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-405)\/(-27)*(-5)\/3. Let p(w) = w**2 + 25*w + 12. Let d be p(r). Is 3 a factor of (0\/(-2) - -2)\/(d\/138)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 - (-1 + (6 - 3)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvxvxxxx. What is prob of sequence vv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/7, 66\/7, -2\/11, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699237 = -18*l - 699741 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -3, -6, 1, -25, -12 in ascending order.\nAnswer: -25, -12, -6, -3, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68\/693 + -1\/77. Put -1\/6, a, 2 in decreasing order.\nAnswer: 2, a, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -11. Let t = -76.6492 - -76.8492. What is the closest to 1\/6 in t, v, -0.5, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) 5 (c) -0.2 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117 by -1036288.\nAnswer: -117\/1036288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 2\/(-8)*2. What is the third smallest value in 0, -2\/15, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -102, -165, -206, -219, -198?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-7) - -1751*(-2)\/(-14). Find the third derivative of -3*w + 114*w**5 + 4*w + 99*w**5 - w**2 - c*w**5 wrt w.\nAnswer: -2220*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**6\/210 - c**5\/210 + c**2\/2 - 3*c. Let j(k) be the first derivative of s(k). Let j(q) = 0. What is q?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2048 = -17*m + 62*m - 653 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(147) - (sqrt(147) + 1 + sqrt(147) + -4))**2.\nAnswer: -42*sqrt(3) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*z - 61 = f, -52 = f + 4*z. Let i = f - -96. Is i equal to 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -19 - (-257 + 254)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*u - 270 = 323*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*c**2*u**3 + 2*c**2*u**2 - 4*c*u**2 - 2*u**3 - u**2 wrt u.\nAnswer: -78*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + t - 5 = -8*s, -s + 2*t + 12 = 0. Let y be 3 + (-3 - (s + -3)). Let d(m) = -m**2 + m - 1. Let q(l) = 6*l**2 - 5*l + 3. Give y*q(k) + 5*d(k).\nAnswer: k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/10 + -17\/60. Let k(i) be the third derivative of 0*i + 1\/6*i**3 + t*i**5 + 5\/24*i**4 + 2*i**2 + 0. What is k(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -23*x**5\/15 + x**4 + 77*x**3\/3 + 48*x**2. Let u(c) be the first derivative of f(c). Find the first derivative of u(l) wrt l.\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/9)\/t*t*t\/(t\/(((t*t**(2\/11))\/t)\/t*t))*t*((t**(-1\/3)\/t)\/t*t)**(6\/5) assuming t is positive.\nAnswer: t**(-97\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/858810?\nAnswer: 1\/858810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 - (-3 - -2) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0 - 3*j**4)*(15*j - 21*j + 10*j).\nAnswer: -12*j**5 + 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 765 = -4*n, 2*b = -0*n + 3*n + 283. Let o = b - 150. Is o not equal to -9\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 4:19 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1024344252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 48852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93079.2 kilometers to micrometers.\nAnswer: 93079200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g**2 - 5 - 4 - 2*g**2 - 66*g**2.\nAnswer: -87*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16646.636 - 16647. Are g and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9143879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, x: 2}. Give prob of picking 1 a and 1 x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -59*u + 122. Let b(a) = -52*a + 118. Determine 6*b(z) - 5*g(z).\nAnswer: -17*z + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -54638130 rounded to the nearest one hundred thousand?\nAnswer: -54600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 - 167*y**2 + 4 + 167*y**2)*(859 - 559 + 1779 + 1882 - 657).\nAnswer: -9912*y**3 + 13216","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 4\/9 (c) 19 (d) -8 (e) -2\/3 (f) 2\/3 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o**2 + 112*o - 112*o - 2 + 10*o**2 + o**3 as j*o**3 + l + y*o + v*o**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 373760 and 5475?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 758 by -3.\nAnswer: -758\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 111144 divided by -1263\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - 39*n - 40. Let l be s(-18). Suppose 2*w - 7*w + 12 = -4*g, 0 = -w - 5*g + l. Calculate the remainder when 16 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2057)*6 + -5.\nAnswer: -66*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -6\/557?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a centimeter in millimeters?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z**3 + 82*z**2 - 20*z = 0 for z.\nAnswer: 0, 1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/84*3\/165?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8070507227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.23 * -43755.\nAnswer: -97573.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -f + 23 - 4, 3*n - 5*f = 20. Suppose -n*t - 106 = -5*b - 501, 0 = 2*t + 3*b - 168. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -5*f**5 - 401*f**3\/3 - 38. Find the third derivative of g(h) wrt h.\nAnswer: -600*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 0*s + y + 78 = 3*y, -73*y = -80*y + 287 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 39*i**2 - 268*i + 8. Give h(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 628*q + 9305. Is h(53) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrvoovoooqcceoqcvo. Give prob of sequence evvo.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 896*b + 881*b + 17.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2425060 and 382520?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -309\nAnswer: 4\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 5*m - 2. Suppose -4*l + 8 = 4*s, -s = 2*l - 0*l - 6. List the prime factors of d(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.0612715 to 1 decimal place.\nAnswer: 27.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5874)\/1068*(0 - -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 - 62*b**2 - 130*b - 155. Let f be z(-29). Solve 12 = f*h - 253*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-187)\/(2992\/(-24)))\/63?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 635, -2, -5449 in descending order.\nAnswer: 635, -2, -3, -5, -5449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 - 1.83. Let m = -2.6 - r. What is the second biggest value in 0, m, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 257922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.096 + -6.5\nAnswer: -6.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-192)\/21)\/((-1)\/7) is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*b**3 - 6*b**2 - 53*b**3 + 64*b**3 + b**2.\nAnswer: -239*b**3 - 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 311?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 27. Let m be 100\/(-6)*(-192)\/20 + 1. Suppose 3*h - 2*y - m = 0, 2*h - 82 = -5*y - 0*y. Calculate the remainder when h is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-70)\/(-315) + 0 + (-894319)\/(-9). Let g = u - 68169. Round g to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18481 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) -2\/11 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**5 - 2*u**5 + 0*u**5 + (-10*u**2 + 10*u**2 + 7*u**4)*(3*u + 2*u - 3*u) + u**5 - u**5 - u**5 - 12*u**4 + 12*u**4 + 7*u**5.\nAnswer: 21*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29244943 and 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8744.219 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -202 + 669. Let j = t + -326. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + -1)\/((-4)\/(-14)*91\/52). Sort g, -3, 4 in decreasing order.\nAnswer: 4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -876 + -6.1\nAnswer: -882.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -500806 divided by -155.\nAnswer: 500806\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoyo when four letters picked without replacement from {o: 16, y: 4}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 10*z + 1 + 6 + 4*z. Suppose 5*f - 16*f = 77. Calculate g(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**2)*w\/(w\/(((w**1*w*w)\/w)\/w))*((w*w\/(w**(1\/2)\/w)*w*w)\/w)**(14\/5))\/((w*w**(-2\/3)\/w)**43\/(w*w**(-1\/3)*w**(-5))) assuming w is positive.\nAnswer: w**(497\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4126870 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 1 + 1)*((-3 + 5 - 4)*(3 - 2 + 0) - 1 - 3 + 1).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 11*d**2 + d - 9. Let s = -19 - -9. Is r(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-27))\/(2\/12). What is the first derivative of -7 - 3*u + 6*u + 3*u + m wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 122*y - 33. Let q(p) = -13*p + 16. Give -3*i(a) - 7*q(a).\nAnswer: -275*a - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -7, -1, 8, -108, 5, 1 in descending order.\nAnswer: 8, 5, 1, -1, -7, -76, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 8*u**2 + u + 1. Let c be q(8). Let h be 0 + (-6)\/c*-6. What is the first derivative of -11*t**2 + 2*t**2 + h*t**2 - 9*t**2 - 28 wrt t?\nAnswer: -28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 453846.6*-11.4.\nAnswer: -5173851.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 32*p**2 + 10*p + 10. Let n(l) = -3*l**2 - l - 1. Let v(q) = -10*n(q) - z(q). Let o(x) = -6*x. Determine o(v(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 3891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 1:12 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239\/470 - 2\/235. Let i(t) be the first derivative of 4 - z*t**2 - t. Differentiate i(o) wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -5, 1\/4, -1932\/13, -36, -0.2, 5\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7355b2 (base 14) in base 13?\nAnswer: -a64a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 3*m**5\/5 + 1340*m**4\/3 + 300158*m**3\/3 + 198916*m**2 - 984*m. Factor q(d).\nAnswer: 4*(d + 223)**2*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134\/27 - 116\/27. Which is the closest to -34? (a) i (b) 0.01 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701952 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*l - 192*l + 5*u = -2, l + 1 = 3*u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36697357339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3)*h*h\/(h\/(((h*(((h**(-1\/21)*h)\/h)\/h)\/h)\/h)\/h)))\/(h*h\/(h*h*h**(-1\/2)*h)*h*h**(8\/13)*h))**(-42) assuming h is positive.\nAnswer: h**(1909\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -12*v + 5*f + 170347, -4*v + 340687 = -3*f. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 + 39*i + 15. Calculate o(-16).\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 10070466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) 0 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 3. Let f be i(-5). Suppose -50 = 2*o - f*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1054.187 rounded to the nearest ten?\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9480 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 465*f**3*j - f**3 + 33*f**2*j - 50653*j wrt f.\nAnswer: 1395*f**2*j - 3*f**2 + 66*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 15974\/8*(-952)\/(-51) - (-14)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -79.3602.\nAnswer: 317.4408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -41*y + 3644. Determine f(86).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 20*w**2 - 18*w + 26. Let f be y(19). Let z(b) = 3*b**2 - 2*b - 2. Let q(h) = 21*h**2 - 15*h - 15. Determine f*z(n) - 6*q(n).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/289632 and 75\/112.\nAnswer: 289632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 6. Suppose 3*h - 4*f - 1032 = o*h, 4*f - 1064 = -h. Suppose 5*k - g = h, 0*g + 2*g = -3*k + 621. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*a**2\/9 - 920*a\/9 = 0. Calculate a.\nAnswer: -460\/53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 3 + 5 - (sqrt(1300) - (sqrt(1300) + sqrt(1300)*-1)))**2.\nAnswer: -144*sqrt(13) + 1117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 5*x**2 + 4*x + 15. Let l be n(5). Suppose 0 = -4*z - 3*z + l. What is the second derivative of 6*d**z - 33*d**5 + 102*d - 108*d wrt d?\nAnswer: -540*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45606913789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5936*w + 5931*w + 285 = -156*x, 2*w - 114 = x for w.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114554 = -20*y + 28206. List the prime factors of y.\nAnswer: 2, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1 - 7) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 954 + -3*(-16)\/12. Suppose -l + 1591 = -5*m, -l = -3*m + 3*l - g. Let f = 478 + m. What is the greatest common divisor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-24)\/8)\/(2*2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3)\/(-15)*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -315*v**6 + 385*v**2?\nAnswer: -37800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404046 = 7*x - 1153454. What is x rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1527*d - 863*d - 115 - 665*d.\nAnswer: -d - 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5436\/7 - 54\/(-126) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7972, -15946, -23918, -31888, -39856, -47822, -55786?\nAnswer: -63748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/72*(-45)\/150)\/((-5)\/(-16)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 0*m + 2*m**3 - 3*m + 0*m - 20 + 11 - 2*m**2 + m**4 as u*m**4 + z + o*m + l*m**3 + a*m**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 9*o**2 - 11*o - 10. Let v(j) = -j**3 - 10*j**2 - 12*j - 11. Let d(f) = 4*n(f) - 3*v(f). Is d(-5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3344752716*f**2 + 1672376361*f**2 + 1672376356*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -5*m + 21, 9*h - 4*h - 4 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2369 or 0?\nAnswer: 2369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 73. Suppose -63 = -5*l - 4*g + 2*g, 5*l - 59 = -g. What is the remainder when u is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - 4*x - x**3 + (-x**2 - 2*x**2 + 2*x**2)*(3*x - x + 0*x) + 15*x**3 - 33*x**3 + 10*x**3 + 7*x**3 - x**3 - 2*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1551.36*-0.08.\nAnswer: 124.1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(6\/7))**(19\/2)*s**(-3\/19)*s*s\/(s*s**(-5\/8)*s)*s assuming s is positive.\nAnswer: s**(10225\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-10)*(-18)\/(-15). Let p = 0.8 - -0.2. What is the closest to p in 0.2, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - v**2 - 12*v - 45. Suppose 45 = -q + 38. What is the units digit of b(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2))**2 + 5 - sqrt(2)) + -3.\nAnswer: -sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2185.668 times -0.11?\nAnswer: 240.42348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 4*b**2 - 11*b - 7. Calculate x(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -212 or -1481\/7?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -201*x. Let d(w) = 143*w**2 - 1. Give g(d(n)).\nAnswer: -28743*n**2 + 201","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (5\/(-2) - -2). Suppose -4*f + 3*v - 2 = 0, -2*f + 3*v - 6*v = -8. Let l = f + -1. Are w and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100375 and 122441440.\nAnswer: 4015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1*5\/(-45)). Let 8*l**4 - 14*l**3 + 8*l**5 + v*l**4 - 2*l**2 - 7*l**4 - 2*l**2 = 0. What is l?\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/107 - 117\/535. What is the third biggest value in -2\/9, -3, v, 2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(60\/27)*(-4)\/24?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/5, 0.4, -54?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 9:35 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**(-9)*y**(-2\/45)*y*y*(y\/y**(-13))\/y*y\/y**(-13) assuming y is positive.\nAnswer: y**(1798\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 145\/(-58)*4*(-6)\/15. Solve -2*a = -4*a - u - 9, 0 = 5*a + p*u + 30 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113008650 divided by -12450.\nAnswer: 9077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079577?\nAnswer: 2079577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.68171 milligrams in kilograms?\nAnswer: 0.00000968171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/9)*n*n*n\/(n*n\/n**5*n*n))\/(n\/(n*(n*n\/n**(-4\/11))\/n*n)*n**(-9\/2)))**(-21\/8))**(2\/31) assuming n is positive.\nAnswer: n**(-15211\/8184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8691813*f**5 - 2*f**2 - 786*f + 507?\nAnswer: 521508780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 485*r + 6. What is the hundreds digit of a(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*p - 2. Let n = -2 + p. What is the third derivative of 0*a - 2*a**2 + n*a**2 + 3*a**3 + 0*a wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 271 = 5*y, -c - 5*y = 33 + 16. Let w be (c\/(-120))\/(1\/5). Let s be ((-12)\/9)\/1*-3. Is s > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-14))\/((-21)\/(-6))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzkz when four letters picked without replacement from qqqlllkzlzlzq?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**8\/(h\/h**6) assuming h is positive.\nAnswer: h**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2. Let i = 49 - 24. Suppose 3*s = p - 15, s + 3*s + i = 3*p. Let f(k) = p*k - k + k. Determine f(z(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1*1*-101)\/((-41)\/(-156128)*28).\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -j + 18413 - 1206, 4*j - 68828 = -2*y. What are the prime factors of j?\nAnswer: 17207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18188811 is divided by 865?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/25*((-40)\/2)\/4. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/33 in 76121, -1\/4, -0.4, 1\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28399 or 454385\/16?\nAnswer: 28399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1366 (base 11) to base 15.\nAnswer: -7cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -11.89 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -249*g + 749. What is the hundreds digit of p(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - c - 2. Let s be q(3). Let g be 2\/s - (-3)\/2. Suppose -12 = -x - g*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 90149, 91610, 93059, 94490, 95897?\n\"Answer: -u**3 + 1468*u + 88682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/45 and 63\/145?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.5 + 13.52. Let w = j - 0.02. Let q = w + 2. Which is the closest to q? (a) 5 (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Suppose 17*k = 27*k - 130. What are the prime factors of k*4\/(4 - h)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*a + 4*a + 0*a)*(4 - 1 - 2)*(-115 + 48*a + 50*a - 99*a).\nAnswer: 9*a**2 + 1035*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -1, 2, -2554, 395, -3.\nAnswer: -2554, -5, -3, -2, -1, 2, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 82986*d - 248965. Determine p(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188926?\nAnswer: 2, 94463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - h + 1. Let u be p(1). Let x(g) = -3*g - 3 + 2 + u*g - 3. Let b(f) = f + 5. Let l(r) = 20*r + 164. Let m be l(-8). What is m*b(d) + 5*x(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 25*b**2 + 8*b + 9. What is the remainder when w(-4) is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*n + 60*n + 39*n + (n - n - 2*n)*(0 - 2 + 3) + n + n - 4*n - n - n + n)*(3*n - 4*n + 4*n).\nAnswer: 366*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/5 + 87*x**2\/5 + 336*x\/5 + 332\/5 = 0.\nAnswer: -83, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 40*i**2 - 133*i + 141. Let q(s) = 6*s**3 - 204*s**2 + 664*s - 704. Let k(v) = -16*l(v) - 3*q(v). Factor k(c).\nAnswer: -2*(c - 2)**2*(c + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-1191)\/30569)\/((-3)\/44)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 13344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -11. What is the second smallest value in -4, j, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*u**3 - 184*u - 1 - 53*u**3 + 2 + 19*u as w*u**2 + g*u**3 + j*u + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 2031322?\nAnswer: -2031321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1878 and 4842.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 750733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 109*s**2 + 130*s - 2288. Determine c(108).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 315530\/11 or 28685?\nAnswer: 28685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14c3d31 (base 14) to base 11.\nAnswer: 580491a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 6*s + 4. Determine f(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -266826.9 and -7.\nAnswer: 1867788.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1700\/(-56950) - 10659\/(-201).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -747674 (base 8) to base 15\nAnswer: -4e028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8 - (-5 + (-688567)\/(-144980)). Let z = 494264\/23065 - h. Factor -90\/7*l**2 - 18\/7*l**3 - 250\/21 - z*l.\nAnswer: -2*(3*l + 5)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11629308 (base 10) in base 9?\nAnswer: 23784363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -283.4 to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*t + 3*t**2 + 2 - 19*t - 24*t to the form k*t**2 + c + q*t and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20011 + -2222300?\nAnswer: -2302311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 8*k + 7*k + 58*k**2 + 8*k**2 - 59*k**2.\nAnswer: 7*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -290200 rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 38*o**2 + 2*o - 1. Let s be b(1). Let g = 153 - 71. Suppose -v = 2*z - 43, 0 = -2*v - 0*z - 2*z + g. Is v at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16 + 18)\/((40\/(-12))\/10). Put 4, o, -3, 0.1, 8 in decreasing order.\nAnswer: 8, 4, 0.1, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3)*g**(-1\/5))\/(g**(4\/3)\/((g\/(g*g**(4\/3)))\/g*g*g*g)))\/((g\/(g\/(g\/(g**(-1\/8)\/g))*g))\/g**(-4))**(12\/7) assuming g is positive.\nAnswer: g**(-1957\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 5\/30)*-6. Let g be 0\/(-1 - (4 + -3 - y)). Suppose g*p - 8*p = -2*p. Which is the closest to -1? (a) p (b) 1\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 - k**2 + k**2 + (-3*k - 3*k + 2*k)*(3*k**2 + 3*k**2 - 5*k**2) + 8*k + 9*k**3 - 8*k.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28390051?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -118.165 to zero decimal places.\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19797*r**4 + 1541*r**3 - 97274658*r**2 + 2 wrt r?\nAnswer: 475128*r + 9246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bububuubbbuu. What is prob of picking 1 u and 1 b?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + 0*z**2 - 4*z**2 + (4*z**2 + 2*z - 2*z)*(-2 + 2 + 2))*(-z + z - z**2).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-20))\/(1\/4). Calculate the greatest common divisor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**7\/270 + y**6\/540 - 28*y**5\/135 - 4*y**4\/27 + 1060*y**2. Factor j(g).\nAnswer: g*(g - 4)*(g + 4)*(7*g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 84 + 24. Solve 0 = -5*a - 5 - m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (4 - 3)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*w - 25 = 82*w. Suppose o - 9 = -3*y, -o - w*y + 13 = -2. Let j(b) = -b**3 + b + 4. What is j(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (241 - 145 - 121 - 223)*(-4*k**3 - 2*k**3 + 4*k**3).\nAnswer: 496*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-15)*l**(2\/17))**(-14\/13) assuming l is positive.\nAnswer: l**(-3836\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/15)*x\/(x*x\/((x**6*x)\/x)))\/((x\/(x*x\/(x**(-9)*x)))\/(x*x\/x**(-11))) assuming x is positive.\nAnswer: x**(403\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20975)\/4225 - (0 + -5). Does y = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 4*w**3 - 8*w**2 - 16*w.\nAnswer: 2*w*(w - 2)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 1. Give z(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 7*d - 11. Let x be a(7). Suppose i - h - 8 = -0*i, 0 = 2*h + 10. Let g = i - x. Calculate the remainder when 67 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/78114 and 125\/18?\nAnswer: 234342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -93*w + 997. What is x(11)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -61711*m + 611. Let q(v) = -605*v + 6. Determine 611*q(w) - 6*z(w).\nAnswer: 611*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -46, -23, 8, 47, 94?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138 - 153. Does 24 divide 7\/(140\/144)*(-400)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 m when three letters picked without replacement from {n: 3, m: 9}.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5346245 is divided by 876.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 3662, 8980\/7, 2\/19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-6 + 16 + -1 - (56 + -57)) - 31?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.86 and -0.03.\nAnswer: -0.1158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -14214*h. Let j(p) = 2*p. Give f(j(c)).\nAnswer: -28428*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 29.\nAnswer: 14\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3 + 0 + 4 - 1 + (2 - 1 + 1)*(-1 + 4 - 1) - 3 + 4 - 3)*(153*z - 98*z - 164*z).\nAnswer: -654*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5864 = -119*j + 38351. Calculate the remainder when 488 is divided by j.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -10*b + 355 - 363 + 236*b**2 + 2*b. Let i be m(-2). Factor n**3 + i + 0*n**3 - 950 - 3*n.\nAnswer: (n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i = 5*z + 18, 8 = 4*i - 770419*z + 770422*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.89, -2\/3, 0.5, -3.34?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3*g)**(-8\/7)\/(((g*g**(3\/14))\/g*g)\/g*(g\/g**(-8))\/g*g*g) assuming g is positive.\nAnswer: g**(-207\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -508*n**2 - 5996*n + 6504.\nAnswer: -4*(n - 1)*(127*n + 1626)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1350 and 756?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1275 and 1425.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/20)\/((-14)\/5). What is the nearest to x in 1\/4, -0.4, 1\/7, -10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 + 0.78. Let o = -21.54 - -22.04. Let u = o - g. Which is the nearest to 2? (a) 4 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783.826 microseconds to milliseconds.\nAnswer: 0.783826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(8 - ((-12)\/42)\/((-6)\/399)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**5 + 210*s**4 - 31625*s**3 + 635590*s**2 + 31620*s - 635800 = 0. Calculate s.\nAnswer: -110, -1, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**2 + 30*f - 1462*f**3 - 2 - 1461*f**3 + 2919*f**3)*(-30*f + 3 - 5 + f) as y*f + h*f**4 + n*f**3 + w + m*f**2 and give m.\nAnswer: -872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*h - 11 = 0, -5*i + 9*i + 3*h = -19. Let b = -22523\/4 - -5567. Let t = 64 + b. What is the closest to t in i, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 144*w - 5568. Let p be c(104). Calculate the highest common factor of p and 882.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -24*a + 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100393360 - -52462.\nAnswer: 100445822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 2. Let t be x(5). Suppose -t + 32 = 5*v. Suppose -57 = -v*d + l, 0 = -d + 3*l - 0 + 3. Solve d = -3*n + r, -3*r - 6 + 2 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/14*(135\/(-72))\/(999\/84 - 12)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*x + 10 = 0, -4*l - 44 = -4*x - 52. Solve -3*z = -2*z - l, -z = -q - 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -230*r**7\/7 + 62*r**4 - 2*r + 176. What is the third derivative of d(h) wrt h?\nAnswer: -82800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11321843 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - (27 - 31)) + 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*y - 11 = 0, 4*g - 191 + 183 = 4*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((9*(-25)\/(-60))\/(-1))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -35068?\nAnswer: 1\/17534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l**2 + 5*l - 10. What is h(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/5*m - 1\/5*m**2 + 19\/5.\nAnswer: -(m - 1)*(m + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41686)\/4388*(-184)\/38?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 146*h - 860. Determine o(-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**3\/3 + 4300*y**2\/9 + 26914*y - 81220\/9 = 0.\nAnswer: -655, -62, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2 (b) 3 (c) 2\/23 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 288788 divided by -3\nAnswer: -288788\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + c**3 + 2*c + 5*c**3 - 3 + 2 to y*c**2 + q*c + o + t*c**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 24020 * 0.3\nAnswer: 7206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-69)\/2)*3. Let n = 1891.5 - 2404. Let h = n + 513. What is the nearest to -0.1 in p, h, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((22 + -30 - 9) + 29)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 6*z + 7 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 - 5 = 0. What is the units digit of 4*-3*w\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b586 (base 14) to base 6.\nAnswer: 11131350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 11:13 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 673 and 30719.\nAnswer: 20673887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/5))\/y**3*y\/(y\/((y**(-2)*y)\/y))*y**(-2) assuming y is positive.\nAnswer: y**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/56*8\/(-6). Let v(y) = 866*y - 867*y - o + 3. Give v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 24*g = -32. Suppose -v - 515 = -g*i, -i = -3*i + 2*v + 516. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 69a + 6c?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 f when three letters picked without replacement from qffqqlqqlll?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(1573) + 2 + (sqrt(1573) - sqrt(1573)*2))**2 - ((sqrt(143) + 1*sqrt(143))*5)\/(sqrt(11) - sqrt(891)*-1).\nAnswer: -133*sqrt(13) + 14161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkk when three letters picked without replacement from ofyyyfyfkokykor.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k - 13. Let g be a(11). Suppose -t = -2*h + 8, 4*h - g + 4 = -5*t. Solve 22 - 6 = -h*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 56 - (0 + (0 - -2)). Suppose 4*b - 18 = -5*p, 4*p - 27 - 3 = 2*b. What is the highest common divisor of p and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*q - 10 = 0, -3*q - 26 = 4*w - q. Is 52311\/14 + (-2)\/w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10088742 and 1446?\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431 (base 13) to base 5.\nAnswer: 10331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -12. Suppose t + 0 = n. Is (-2)\/(8\/(-6))*t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djyn when four letters picked without replacement from {h: 2, d: 12, j: 1, y: 1, n: 1, p: 3}.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -5*s - 44. Solve 20 = -2*p - s*p, q + 9 = -p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = 25*s - 30*s. Suppose 25 + s = 9*j. Calculate the remainder when j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*a + 7*a. Put 2, -2, a, 8 in descending order.\nAnswer: 8, 2, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1)\/4*(-33 - -5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 9 + 0 + 451*c + 7.\nAnswer: 451*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 913074 and -381.\nAnswer: -347881194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or 316\/15?\nAnswer: 316\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 3*y + 3*y - 140 + 140.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/3))**(-24))**35 assuming r is positive.\nAnswer: r**(-560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - (7 + 1)) + 51 + -6 + -10\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 14. Let y(o) = -o - 11. Calculate -5*t(i) + 4*y(i).\nAnswer: i + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -j + 23. Suppose -j*y + 18 + 32 = 0. Suppose 5*s + 0*s + y = 0, -640 = -3*u + 2*s. What are the prime factors of u?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/10)\/((-4)\/10).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 20, -12008?\nAnswer: -12008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (304*(1 - 2) + 1 + -3)\/(-2) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 5. Let d be 3 + (-2 - (-3 + 6)). Let c be h(d). Let i = 9 - c. Which is smaller: 5 or i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 15\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-183)\/610 + 413769\/30?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 7 + 26 = 0. Find the first derivative of 6 - v*t**2 - 85*t + 40*t + 45*t wrt t.\nAnswer: -66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*p + 1396*d - 1609*p wrt d.\nAnswer: p + 1396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39868?\nAnswer: 2, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -106068 divided by 17678\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 q, and 1 r when three letters picked without replacement from yndndxqynxdnnxyrx?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*g + 124 + 476 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*-30*(-12)\/(-9). What is the first derivative of -21 + j*i - 3*i**2 + 114 + 181 + 2*i**2 + 2*i**2 wrt i?\nAnswer: 2*i + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 + 1)*(0*j + 3*j - 6*j).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(((a*a*a**(-11\/2)*a*a)\/a)\/a)))\/a**6)\/(a**4\/a*a**1) assuming a is positive.\nAnswer: a**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:00 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4433292486.\nAnswer: 2, 3, 7, 61, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 321286417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4262262959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -11*r - 34. What is m(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*g**6 + 10*g**5 - 1692*g**4 - 818677*g**2 wrt g?\nAnswer: -720*g**3 + 600*g**2 - 40608*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 18964*b - 95090. Calculate j(5).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 219*i**2 + 18*i - 441. What are the prime factors of s(-15)?\nAnswer: 2, 3, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.213 rounded to 1 dp?\nAnswer: 79.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 5\/3 (c) 8\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 14299*k**3\/3 + 10*k**2 - k + 43. Let o be g(10). What is o rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**4 + 4*h**3 - 24*h**2 - 16*h + 32 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.1. Let h = -371 - -373. Suppose h*r + 4 = 0, -4*y - 4*r = -8*r - 20. What is the smallest value in -0.3, -5, y, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/6 - 1)\/((-1)\/(-764)). Let n be 6\/((-3155)\/(-1055) - 3). Let h = p - n. What are the prime factors of h?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 6*t - 50. Let o be (-2)\/5 - (-14)\/t. What is the greatest common factor of 4 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26 - -15) + ((-144)\/(-21) - -4). Is m < -1026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**8\/(o\/o**2*o*o\/((o*o**(2\/13))\/o)) assuming o is positive.\nAnswer: o**(-115\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 535.8 and -3.\nAnswer: 532.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5004+-5\nAnswer: -5009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2. Let u(y) be the first derivative of y**2\/2 + 2*y + 1. Let n be u(2). Let j(h) = -6*h + 3*h - 2*h + n*h. Calculate o(j(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33.26 - 0.74. Let h = -39 - n. What is the closest to -0.2 in 0.3, 2, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -2, -2\/7, -5, 0.3, -3.\nAnswer: -5, -3, -2, -0.7, -2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6557 + -6260. What is the remainder when s is divided by 40?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1, -1\/5, 3, 0.5, 28.\nAnswer: -1, -1\/5, 1\/3, 0.5, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**4 - 374*o**2 - 5*o**4 + 368*o**2 + 2*o**3 to the form p*o**2 + h*o**4 + t*o + k*o**3 + i and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 13\/52*76?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17, -2, -17, -28?\n\"Answer: 2*g**2 - 25*g + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*(-1 + 1). Suppose t = -2, -5 = -3*f - 2*t - g. Suppose -f*a = z - 0*a - 1, -2*z + 2 = -a. Is -2\/13 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - q = -0*q + 19, -2*i + 5*q = -3. Let b = -4 + 13. Let v = b - 4. What is the closest to 0.1 in v, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20228?\nAnswer: 2, 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -8. Let z = -4 - x. Let b = 7 + z. Solve 0*y - y = b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888031 is divided by 53943.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 303*g + 1822. Let x be w(-6). Sort -134, 2, -10, x in increasing order.\nAnswer: -134, -10, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 516 + -503 + 2 + -2 + -21 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -60 (c) -4\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-50)*-3)\/(612\/1020)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 80 - 124 = -3*i, 0 = -d + i + 112. Suppose 4*y - 5*h - 169 - 99 = 0, 4*h = -2*y + d. What are the prime factors of y?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69954.\nAnswer: 2, 3, 89, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*w**2 + 744 - 10336 - 6080.\nAnswer: 352*w**2 - 15672","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, 10, 28, 52, 82, 118?\n\"Answer: 3*z**2 + 3*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 0 - s - 9 + 0.\nAnswer: 2*s - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.1 + 90.\nAnswer: 81.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 408*a - 439*a + 52142. Calculate the highest common factor of a and 928.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -189 and 60881?\nAnswer: 61070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111110110010 (base 2) in base 5?\nAnswer: -1403334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 7:49 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -27 - k**2 - 2*k**2 + 20 + 4*k + 4*k**2 + 0*k**2. Suppose 3*u + 20 = -u. Determine a(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793 + 565 - 6*y + 4*y.\nAnswer: -2*y - 228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 3:19 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -178.2.\nAnswer: -183.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 11. Calculate the remainder when (31\/2)\/(10\/40) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1675836593 to the power of 1\/4, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - (8\/(-32) - 22507\/4). Is y\/7 + (-10)\/70 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + 1)*5\/4. Suppose 2*r - a + 17 = -0*a, -2*r + b*a = 21. Let m(n) = -80*n - 17. Is m(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*b - 12, -3*b + 5*c = c + 19. What is the units digit of ((-15)\/6)\/b*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1575694903 to 5 decimal places.\nAnswer: -0.15757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 5*l + 4*l)*(124*l - 35*l + 19*l).\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12\/77 (b) 0.2 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18883829 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8150903 to three decimal places.\nAnswer: 0.815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmv when three letters picked without replacement from {m: 4, v: 5, h: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v\/(v\/((v*v**5\/v)\/v*v))*(v*v*v**5*v)\/((v\/(v**(-2\/9)*v))\/v))\/((v*v**(-2\/19))\/v*v**(-3\/4))**(-1) assuming v is positive.\nAnswer: v**(9523\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1908001091?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r - 58. Let k be b(15). Let i(v) = 75*v + 10. Is i(k) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22819 - 91277\/4. Which is the nearest to -1.6? (a) t (b) 3\/8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + 5 + (-5)\/((-10)\/3802)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - 35?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/135)\/((-8)\/(-10)*(-5)\/9).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1457, 2913, 4369, 5825?\nAnswer: 7281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-9) - 4) + 22 + 38912\/(-576).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide ((-3)\/3 + -2)*(-9 + (-7048)\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + 141*z - 1011. Let h be o(7). Which is the third smallest value? (a) h (b) 5 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1164\/11 - -11849\/110. Find the common denominator of 49\/102 and n.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1055.981 to the nearest ten.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n**3 - 54 + 27 + 20 + (-3*n**2 + 3*n**2 + n**2)*(3*n + 3*n - 4*n) as d*n**3 + w*n + t*n**2 + v and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -63 - ((41 - 20) + -31 + 0 + 2)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -230 by -46.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8181\/2 + -4090. Let n be (-4)\/(-10) + 6\/35. Let r = 14 - 6. Which is the closest to 2\/5? (a) n (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.093, -0.2, -5?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 + -84. Suppose -d - 2*d + h = -108, -h - k = -d. Suppose 0*q = 4*x - q - d, -31 = -2*x + 5*q. What is the highest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 27*f**6\/10 - 33*f**2 - 71*f - 76. Let n(r) be the first derivative of o(r). Differentiate n(m) with respect to m.\nAnswer: 324*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2132, 2, 5.\nAnswer: -2132, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 20 + 21*a - 39*a + 20*a. Let r be s(-8). Solve -3*y - 8 = r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 4:07 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*i**3 + 68*i**3 - 637*i**3.\nAnswer: -617*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -348 (base 9) to base 15\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/11 + 692*m\/11 + 2058\/11.\nAnswer: 2*(m + 3)*(m + 343)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-5 + 1 + (4 - -3))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 3*x - 1. Let k(c) = c**3 + 8*c**2 + 6*c - 5. Let b be k(-7). Suppose 3*w + 5 = 2*r + 20, w - 5 = -b*r. Is t(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q**2 + 152*q + 17. Let v be g(17). Let h(a) = -a**2 + 3*a - 2. Let f be h(3). Sort f, 4, -1, v in decreasing order.\nAnswer: 4, v, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12348 + -11968. What is the remainder when d is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v = 196. Let k = v + 58. Calculate the highest common divisor of 99 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, m: 4, g: 5}. Give prob of picking 1 m, 1 j, and 1 g.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 0*q**3 - 3\/2*q**2 + 1\/3*q**4 + 7*q + 0. What is the derivative of j(l) wrt l?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 11:44 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/4)\/k**(-1\/3)*k*k\/k**(-1\/6)*k\/(k**(2\/11)*k) assuming k is positive.\nAnswer: k**(113\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1073 and 76\/9657.\nAnswer: 9657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-11 + (9 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1338 divided by -669.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -373 (base 15) to base 14.\nAnswer: -3dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-7)\/(154 - 0).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6 + 6 - 3*o. Let x(a) = a**3 - 6*a**2 + 4*a + 7. Suppose 5*h - 13 - 12 = 0. Let s be x(h). Determine p(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) - (sqrt(171) - (-2*sqrt(171)*-4 - sqrt(171)) - sqrt(171))) - sqrt(171))*-6)\/(-4*-2*sqrt(729)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 9.9. Sort -4, 5, -1, k in descending order.\nAnswer: 5, k, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 32*n**2 - 117*n + 421. Let j be a(35). Let l(z) = 5*z**2 - 9*z + 1. Let c(i) = -i**2 + i - 1. Determine j*l(k) + 3*c(k).\nAnswer: 2*k**2 - 6*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 345 = -3*n, -5*r + 471 = 4*n - 68. Calculate the remainder when 547 is divided by r.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(-7786*l + 7786*l - 102*l**2) + l + l**2 - l to the form m*l**2 + a*l + d and give m.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-12))\/((-2)\/8). Suppose 3*n = w + 26, -47 = 2*w + n - 2*n. Is w != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 931 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -14)*(-120)\/150.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = -22*a + 60 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from zkfuzzzzzzuzzkzzzkfz.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 52. Solve -u + 10 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {t: 4, x: 1, a: 9}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 5. Suppose 0*j + 2*j - 471 = o*r, 2*j - r - 467 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14767153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/256818 and 40\/299621?\nAnswer: 1797726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 51\/16, -4, 141\/2?\nAnswer: 141\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 4:26 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*h + 12, -3*p = h + p + 7. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*o**3*s*u**2 + 7*o**3*u**3 + 9*o**3*u**2 + 7582*o*s*u**3 + 5*o - 35*u**3 + 2*u with respect to s.\nAnswer: -17*o**3*u**2 + 7582*o*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 39 = 3*b, -3*f - 9 = -59*b + 56*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 7:40 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 62d878 + -6?\nAnswer: 62d872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**6*f - 206652419*b**6 + 2*b**2*f - b**2 - b + 159*f - 2623 wrt b?\nAnswer: -120*b**3*f - 24798290280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - 120*w + 1 - w**3 + 115*w + 0*w**3 - w**2. Give g(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -14\/7213?\nAnswer: -14\/7213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 244*q**3 - 2*q**2 - 386 wrt q.\nAnswer: 732*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from ppek?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35, -83, -153, -257, -407, -615, -893, -1253?\n\"Answer: -2*s**3 + s**2 - 37*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 4*i**3 - 5*i**2 + 3*i**2.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 215640 and 504?\nAnswer: 1509480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h**(-1\/5)*h))*h*h**(-4\/7)*h*h)\/((h*h**(-4))\/(h*h**(2\/19)\/h)) assuming h is positive.\nAnswer: h**(4877\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -234.96, -7, 1\/5 in descending order.\nAnswer: 1\/5, -5, -7, -234.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*c - 2)*(36*c - 2*c**4 + 171 - 171).\nAnswer: -4*c**5 + 72*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 409976*2\nAnswer: 819952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3162, -3232, -3360, -3576, -3910, -4392, -5052?\n\"Answer: -5*m**3 + m**2 - 38*m - 3120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 7*j - 122, -7*g + 2*j + 112 + 50 = 2*j + j for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3*6359\nAnswer: 19077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 229.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 4*j + 5*s, 2*j - s - 14 = 3*s. Calculate the highest common factor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -523?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {u: 1, p: 4, m: 1, z: 1, l: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 0*n + 474 - 450 = 2*d, d - 3*n - n - 21 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4))**(6\/5)\/(((u*u\/(u**4\/u))\/u)\/((u\/u**(-2))\/u)) assuming u is positive.\nAnswer: u**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u + 4 = 0. Let h(l) = -16*l + 11. Let m(d) = 16 + 5 - 3*d - 19. Give u*h(x) + 22*m(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c + 4. Let l be (-3)\/2*(-3 - (-1)\/3). Suppose l*p + 24 = 4*i, 8*p - 5*i + 20 = 5*p. Let x = 15 + -11. Let h(w) = -2*w + 3. Give p*h(q) + x*f(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.3643157 rounded to one dp?\nAnswer: 239.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.4689 + -0.3311. Put -0.1, -0.4, -5, r in decreasing order.\nAnswer: -0.1, -0.4, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6000)\/(-225)*10\/((-2100)\/(-9))*5.\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8*5\/(-15)*3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-30) - 6\/15. Let s = -18\/13 + 139\/91. Which is the third biggest value? (a) s (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) 0 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74.76 - -0.24. Let b = f + -45. Let y = b + -29.997. What is y rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 5 - v + 2)*(-v**2 + v**2 + 2*v**2) in the form k*v**3 + f*v**2 + q*v + w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 1:13 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t + t. Suppose 0 = -t*w - 6*w + 12. What is the smallest value in w, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) -0.3 (c) -0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00307443112 to five dps.\nAnswer: 0.00307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249 + 1069 = 164*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*10\/(-45)*114. Suppose -4*q - 2*z = -230, 2*q + z - 2*z - 113 = 0. What is the greatest common factor of q and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.578 - 5.442. Let t = 5 + d. Round t to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -6, -2\/17, -5, -1, 140?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 19.393?\nAnswer: -21.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 791574899?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 23, 29 in increasing order.\nAnswer: -60, 23, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69827702.\nAnswer: 2, 7, 4987693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -13. Let z be 21\/6 - (-1 - n). What is the smallest value in 2\/13, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108890545 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {t: 2, o: 2, r: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*j**2 + 6*j - 76\/7.\nAnswer: -2*(j - 19)*(j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + ((1 + -3*sqrt(405) - sqrt(405)) + sqrt(405) - -6*(-2 + sqrt(405))))**2.\nAnswer: -324*sqrt(5) + 3681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**3 - 2*c**3 + c**2 + 230 - c**3 - 3*c**3. What is the hundreds digit of h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*b - 266*b = 4128 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 218, 1, 2, 11, -5.\nAnswer: -5, 1, 2, 11, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**4 - 5518*c**3 - 3542*c + 5.\nAnswer: 12*c**2 - 33108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32.914 + -159.\nAnswer: -126.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Expand (-365*o + 86*o**2 + 365*o)*(-2*o + o + 0*o).\nAnswer: -86*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) -3 (c) 107 (d) 0.3 (e) -0.031\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 44 + -15 + -9 - -16.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -14. Suppose w = -4*g + 4*o - 52, o + 3 = -2. Let h = 21 + g. Which is the biggest value? (a) -0.08 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1477*j**6*n**2 + 78*j**3*n**2*o + 7*j**2*n**2*o + 9*j**2*n**2 + 139*j**2*n*o - 2*j*n*o + 2*n*o wrt j?\nAnswer: -177240*j**3*n**2 + 468*n**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, -1, 4, 3 in descending order.\nAnswer: 12, 4, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -7*i + 4*i - 12, -3*m - i - 4 = 0. Solve m*j + 4 = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14112*v**3 - 28056*v**2 - 1 - 671\/2*v.\nAnswer: (v - 2)*(168*v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9758 or 9757?\nAnswer: 9758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -48 in descending order.\nAnswer: 1, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x - 8. What is l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1529 divided by -29?\nAnswer: 1529\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Let y(d) = d - 7. Let p be y(q). Which is the nearest to 0? (a) p (b) 0.5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 6*g + 23, 2*j + 1424*g + 8 = 1426*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36659?\nAnswer: 7, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/(p\/p**(-4)))\/(p**(-2\/9)*p**(-5))*p**(-2\/5)*p\/p**4*(p**1)**(13\/5) assuming p is positive.\nAnswer: p**(-206\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2936 smaller than -1171178\/399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35907?\nAnswer: 3, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.5? (a) -2\/13 (b) -5\/3 (c) -35 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21.3 * 5\nAnswer: 106.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10110001101 (base 2) to base 11\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17\/4, 14, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 11*c + 24. Let d be h(13). Let b be d\/(-6 + 2)*4. Solve 3*r - 2*y = r - 10, -5 = -3*r - b*y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1674 and 11997?\nAnswer: 71982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957 is divided by 311?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)*(h**(-5\/7)\/h)\/h)**(1\/7) assuming h is positive.\nAnswer: h**(-109\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55229884709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3121, 3118, 3103, 3070, 3013, 2926?\n\"Answer: -g**3 + 4*g + 3118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 10*h**4 + 2564 + h**3 + 0*h**3 - 2561 + 2*h to the form j*h + x*h**3 + m + c*h**4 + a*h**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32599004?\nAnswer: 2, 23, 354337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (-27 - (-8 + 4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/301*(-847)\/(-1210)?\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -80, -581, -1928, -4541, -8840, -15245, -24176?\n\"Answer: -70*n**3 - 3*n**2 - 2*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 140 or -296?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 0, 5*u - 3 - 7 = k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 427120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/10)\/(1881\/154 + -12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 28.9. Suppose -3*t = 3*j + 6, -376 = 3*j - 2*t - 390. Sort -1, j, s, 2\/37 in descending order.\nAnswer: j, 2\/37, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 29 + (113 - 138)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2535446 is divided by 231.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-3) - 4\/(-6). What is the closest to 2 in c, -1, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 936 and -0.01.\nAnswer: -9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-33) - (-158)\/(-22). What is the units digit of (-93)\/m - 4\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/11784 and 91\/22.\nAnswer: 129624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4*t + 8*g**4 - 2*g**3*t + 38*g*t + 2*g - 2*t wrt g?\nAnswer: 12*g**2*t + 96*g**2 - 12*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/33)\/((-2)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 65 = 7*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h + 10. Let u(z) = 0 + 5 + 7 - 9 - 2 + z. Give r(y) + 5*u(y).\nAnswer: -2*y + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*4\/(9*4)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.213 less than 2164320.74499?\nAnswer: 2164320.53199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4*(-7)\/28)\/((-2)\/(-648)). Let w = i + 587. What are the prime factors of w?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36, 37, 28, 3, -44, -119, -228?\n\"Answer: -q**3 + q**2 + 5*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 2:56 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2805 divided by -3.\nAnswer: -935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 240989825 to the power of 1\/2, to the nearest integer?\nAnswer: 15524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1082.363499ms?\nAnswer: 0.0000017896221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**3 + 989 - 2956 + 979 + 988.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 36*r - 216. Let a be w(28). Solve a*v = 4*v + 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*(s*s**(-1\/3))\/s))**36*s**(1\/5)*s\/(s\/s**(-3))*(((s\/s**(-6))\/s)\/s**(-1\/2))**11 assuming s is positive.\nAnswer: s**(1167\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2 - -1 - 110. Let j be -5 + 1 - (-167 + 5). Let a = s + j. Calculate the remainder when a is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 27632120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/7*2)\/2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*y - 843 = 1309, 862 = 2*f - 2*y. Suppose 10*u + f = 6230. Is u a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*c**5 - 17*c**4 + 6*c**2 + 530*c - 1 wrt c?\nAnswer: 1080*c**2 - 408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/76)\/((-3)\/(72\/(-10)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-500)\/1850*-37*(-3)\/(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, j: 3, x: 4}. Give prob of picking 1 x and 1 j.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34766 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132\/7 + 142\/7. Find the common denominator of -26\/11 and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 34. Calculate the remainder when 18 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4668 - -4667.96. Is v smaller than -55\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234433444 (base 6) in base 11?\nAnswer: 254aa14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, i: 2, a: 5}. Give prob of picking 2 a and 1 c.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 smaller than 241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/2 + 0*6\/18. Suppose 5*s - 4*w + 12 = s, 13 = -s + b*w. Put 2\/5, -0.01, -0.1, s in decreasing order.\nAnswer: s, 2\/5, -0.01, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -1. Suppose t - k = -0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.022341 litres?\nAnswer: 1022.341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/((sqrt(12)*1)\/sqrt(2)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 2:39 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/(-3))\/(42\/(-18) - -3). Let m(v) = -v - 2. Let p(i) = 285*i + 860. Let h be p(-3). Let s(y) = 1 - 4*y + 0 + 2*y + 3*y. Give h*m(j) + o*s(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2))**(43\/3)*f**29\/(f\/(((f*(f\/f**15)\/f)\/f)\/f)) assuming f is positive.\nAnswer: f**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebf when three letters picked without replacement from {r: 1, b: 1, f: 1, l: 1, e: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2. Let t(x) = 151*x + 3. Let l(h) = -129256*h - 2567. Let b(d) = -6*l(d) - 5134*t(d). What is b(p(f))?\nAnswer: 302*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10473684*w = -10473614*w + 1750 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5505118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 z when three letters picked without replacement from ffzb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 22. Let z(w) = -55*w**2 - 54*w**2 + 5*w + 110*w**2 + w + t. Give z(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 15*j - 6. Let z(l) = l**2 + 16*l + 7. Let f(n) = 7*i(n) + 6*z(n). Let r be f(-9). Solve r*b = 3*b + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2 + 370134*s - 11416598163 = 0 for s.\nAnswer: 61689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 262 and 14.\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 12) to base 5\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 10*r**2 - 9*r - 20. Determine k(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29624326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 31, 59, 87, 115?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 5 + -2 + (-177 - -172)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5*g - 2829, -5*l = -3*g - 722 - 4009. Is 1\/(-2 + 1900\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 11*b + 21. Let g be n(-9). Suppose -p + 1 + 0 = 0. Let v be 1\/p + 0 + 1. Solve v*o = g*o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*m - 29 - 4, -32 = 4*z - 3*m. Let f = -5 - -3. Let t = -1 + 2. Sort f, t, z.\nAnswer: z, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3603790 - 0\nAnswer: -3603790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 6*r - r - 10 = 0, -4*h = 3*r - 8. What is the tens digit of (h - 0 - 1)*21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = d + 742, -2*x + 1484 = -6*x - d. Which is smaller: -381 or x?\nAnswer: -381","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/3, -4, -0.5 in increasing order.\nAnswer: -4, -0.5, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (-3 + sqrt(117)*1))*5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 3. Let w(p) = p - 1. Let q(d) = -o(d) + 3*w(d). Let c(x) = 0*x - 3*x + 5*x. What is q(c(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*i + 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.96292 kilometers?\nAnswer: 962.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123.54 + -118.54. What is the closest to -2 in -2\/7, -1, 2\/9, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 2:10 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 - 5. Suppose -4*p + 100 = 2*q, 3*p + 3*q + 24 = 96. Let n = -21 + p. Does 26 divide m(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5957530898915 - -1.\nAnswer: 1.5957530898915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**7\/30 - 9*o**3\/2 + 14*o**2 - 1. Let g(w) be the second derivative of j(w). What is the derivative of g(z) wrt z?\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 6:51 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17484 and 240932?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 146070 divided by -270\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -63218\/13 at least as big as -4864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-5))\/w**1*(w\/((w**(-2\/7)*w*w*w)\/w))**(3\/8))**20 assuming w is positive.\nAnswer: w**(-1475\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1811874 divided by -603958?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3211777 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152506416?\nAnswer: 2, 107, 673193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 + -136. Let a(g) be the first derivative of -3\/2*g**4 + g**q - 9 + 6*g + 15\/2*g**2. Determine p so that a(p) = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (5\/7 - (-26)\/91). Suppose -2*p - n*z + 1 = 0, 4*p + z - 12*z = 19. Factor 3 + 21\/8*a - 3\/8*a**p.\nAnswer: -3*(a - 8)*(a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1798595041?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1464 and 55\/29009038?\nAnswer: 348108456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34382600 and 62296.\nAnswer: 446973800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10562*l + 5292*l + 5272*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.8 + 0.2. Let n = d - 22. Let y = -214 + 1071\/5. What is the closest to -0.04 in y, -2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -209, -5.\nAnswer: -209, -5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3706.4 + 3706. Let v be 6\/4 + 1 + -3. Which is the biggest value? (a) -2 (b) 0.4 (c) y (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 30. Suppose -b - 5*d + 1948 = 0, -y*b + 5866 = 3*d + d. What is the third derivative of -1958 + b + 41*v**2 + 12*v**3 wrt v?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 8:34 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/(-21)*1\/15. Which is the closest to -1? (a) u (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20423.\nAnswer: 13, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or 2609\/15?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by 53\nAnswer: -96\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 5*k - 225. Calculate the highest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 318 + -102. Calculate the highest common factor of 180 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*11\/(-572))\/(3\/(-12)*2)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -4, -3\/7, 1\/5, 0.19 in decreasing order.\nAnswer: 1\/5, 0.19, -3\/7, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 31, 30 in ascending order.\nAnswer: -3, 1, 30, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 27 = 4*z. Let l = -9 + 9. Let p(w) = -w**3 + 4*w**2 - w - 2. Let j be p(3). Put z, l, j in decreasing order.\nAnswer: j, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 58.22743l?\nAnswer: 58227.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 4d315?\nAnswer: 4d316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 35 = 5*a, -6*o = -3*o - 12. Let c = 2 + a. Suppose -c*b - 6 = 14. Put b, 3, -3 in ascending order.\nAnswer: b, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from {s: 6, u: 1, d: 2, z: 1, q: 1, g: 5}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/15 (b) -1.599 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/55 - 32\/(-40)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 - 59255*b + 829010. What is f(14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 + 94. Sort p, -1, 5 in decreasing order.\nAnswer: 5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 8*i + 8. Let g be c(-7). Let p = g - -1. What is the highest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 5, -1, 4, 7186 in descending order.\nAnswer: 7186, 14, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/3, -159\/34, -10.4 in descending order.\nAnswer: 13\/3, -159\/34, -10.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -47 + 44 - (-1 - 7). Suppose 0 = 5*a - 3*g - 1666, a + 1020 = 4*a + j*g. Is a a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -34\/7 (b) 1\/2 (c) 189 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37576, -150411, -338478, -601783, -940332, -1354131, -1843186?\nAnswer: -2407503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + 1 + x + 2*x. Let r(g) = -10*g - 8. Let d(k) = -24*b(k) - 3*r(k). Let u(p) be the first derivative of p**2\/2 + 496. Calculate u(d(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**14)**(4\/15))**(-31) assuming k is positive.\nAnswer: k**(-1736\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16597 = 16597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -21.59?\nAnswer: -21.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*h + h. Suppose -6534 = -551*f + 452*f. What is the nearest to f in h, 0.1, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -147. 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 value of 1\/(-8 + -3 - -1) + 34618\/380?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*h + 36. Let z = 173.113 + -3.813. Let o = z + -169. Which is the biggest value? (a) -3 (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112343 + -12?\nAnswer: -112355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 860?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 + 78 + 22 + (-2 - 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15550*p**2 - 8381*p**2 - 7174*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 + 151. Let t(y) = y - 14. Let h be t(v). Let k(r) = -r**2 + 6*r. Calculate k(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*v - 480*v + 3692 = 68 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 7002 = 2721. Let d be (-3922)\/2*-1 + -1. Let g = d + l. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -19*x - 63 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 1 - (-858)\/(-14). Let g = k - -1565\/14. Suppose 5*p = -26 - 94. Calculate the common denominator of p and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -f, -4*i + 5*f + 43 = 13. Suppose 5*z - o = -5*o + 35, 0 = -i*z + 4*o - 5. Solve 0 = z*a + 2*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) - 2*sqrt(72))) + 1)**2 - (((sqrt(72)*-1 + sqrt(72) - sqrt(72))*5 - sqrt(72))**2 + sqrt(72)).\nAnswer: -2303 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 3\/5*k**2 + 9\/5*k**4 + 0*k - 3\/5*k**5 - 9\/5*k**3 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 33164.797.\nAnswer: -132659.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6635958 and 13271916?\nAnswer: 13271916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 24 = 2*x, -4*x + 21 = 3*r - 8. Let l = -1 - 1. Let w be (-6)\/21 - l\/r. Which is the closest to 0? (a) -0.5 (b) -1\/6 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 2 + 2 - h - 10. Let z be l(13). Let j be ((-32)\/6)\/((-4)\/18). What is the highest common factor of z and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153 or -2\/30975?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30836?\nAnswer: 2, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1592 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 0.4, 1, 2\/3.\nAnswer: 0.4, 2\/3, 1, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 59, 4, -4 in increasing order.\nAnswer: -4, -1, 0, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((11*g + 11*g - 16*g)*(13*g - 10*g + 31*g) + (2*g + 2*g - 3*g)*(0*g - 2*g + 0*g))*(g**2 - 1 + 1).\nAnswer: 202*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -150 in 0.6, 5, 4\/5, -21\/8?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 29 (b) -1\/4 (c) 0 (d) -2\/213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s - 1. Let c(o) = 3*o. Let x(g) = 3*c(g) + 2*l(g). Let t(v) be the first derivative of -v**2\/2 + 4. Suppose 2*y = y + 1. Give y*x(b) + 4*t(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -30112231 (base 4) in base 9?\nAnswer: -76367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-12))\/((-220)\/132).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-28) + (-58)\/(-56)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + s + 14. Let o be b(0). Let d be (40\/o)\/((-6)\/(-21)). Suppose 0*v = -2*v + 40. What is the greatest common divisor of d and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 658 * 48.82.\nAnswer: 32123.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.2 (c) 9 (d) 0.4 (e) -1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -23. Let h(z) be the first derivative of -4\/7*z - 5\/7*z**o - 3 + 1\/14*z**4 - 2\/7*z**3 + 2\/35*z**5. Find w, given that h(w) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 968 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from aamaaaaamaaaqa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9d + -5?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from xwwwwdaddxd.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -7)*(-9)\/(-6). Let q be 4\/(-18) - (-7)\/f. List the prime factors of q + (1 - 0) - -33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-20)\/4)*90\/198.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -614, 0.2, 120, 1.\nAnswer: -614, 0.2, 1, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1473577*a + 16209348. Determine w(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2111 (base 3) to base 13\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 48, 43, 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*(2*(sqrt(847) + -2) - sqrt(847) - (sqrt(847)*1 + -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (21 - (-5 - -17)) - (3 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u = -12. Calculate the remainder when (27 - 1) + (2 - 1) is divided by u*3\/30*35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to 45\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4502*k - 224 = 4498*k. Let y = 4 - -1. Suppose y = -5*j, -15 - k = -t - 2*j. What is the remainder when t is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -29. Let q = g - 30. Let y be (q\/15)\/((-6)\/40). Solve -3*f - f = y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, p: 1, z: 1, l: 1, y: 1, c: 1}. Give prob of sequence zyp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let k(z) be the third derivative of -z**8\/5040 - z**5\/30 + 2*z**2. Let g(i) be the third derivative of k(i). Determine g(v(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 - 4*y - 124040. Let a be r(0). What is a rounded to the nearest 1000?\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by -2.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:40 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-33))\/((-6)\/(17280\/(-80))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 1. Let d be a(-1). Let u = -6 + 3. Let j(z) = -z**2 + 21*z + 25. Let p be j(22). Sort p, u, d in increasing order.\nAnswer: u, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13072794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/9))\/z*z*(z*z**15*z)\/z assuming z is positive.\nAnswer: z**(151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 52*p - 57*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - -11 - -11 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -22*t**2 + 2*t - 2. Let b be z(4). Let d = b + 530. Suppose u = -3*u + d. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712*q - 933*q + 3094 = 0 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from futtfftqtttfftfxt. Give prob of picking 1 f and 2 t.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 133, 976, 3167, 7348, 14161, 24248, 38251, 56812?\n\"Answer: 107*h**3 + 32*h**2 - 2*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 33*j + 109. Let d be s(10). Let g = 444 - d. Solve -33 = -g*i - 2*b + 4*b, -4 = -4*i - 4*b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3996 by 222.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -2 - (-4 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s = -8. Let t(d) = -d - 5. Suppose 0 = -5*i - 2 - 23. Let u be t(i). Solve 2*o + s*o = u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 4*d**2 - 10*d + 9. Is m(-5) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26941 and 20.\nAnswer: -26921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.5 (c) -434\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9 - 32 + 85*r**3 - 16*r**2 - 84*r**3 + 7*r. What are the prime factors of f(16)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221321441 (base 5) to base 6.\nAnswer: -32354540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.9 - -29.89. What is the closest to s in -4, 3\/2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017924855 to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - 17 - 2 - (4 + -1 - 40).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**2*l + 11516*k*l + 15*k - 70250*l - 23 wrt k?\nAnswer: -4*k*l + 11516*l + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-420)\/(-1932)*-23*(-3)\/(-100).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 2517.818?\nAnswer: 2518.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 25*z - 166. Give c(81).\nAnswer: 1859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t. Let y be (-6)\/(-14) - (-10)\/(-7). Let d(r) = 4*r + 1. Calculate y*a(u) - d(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**2*l + c**2 + 546*c*l - 664*c wrt l?\nAnswer: -2*c**2 + 546*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y - 9. Let t = y + 7. Which is the third biggest value? (a) t (b) -0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 322 - 318. Put y, 2, 3 in descending order.\nAnswer: y, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -674 - 1119. Is 3394\/21 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 13266434\nAnswer: -3\/6633217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 533.71298 and 0.1?\nAnswer: 53.371298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*s - 2 = 5, 3*s = -u + 5. Let x(g) = 16*g**2 - 13*g**u - 5*g**2. Let f(a) = -a**2. Determine x(f(v)).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8374 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2028*i**5\/5 - 319332*i**4\/5 - 18802359*i**3\/5 - 490629054*i**2\/5 - 4787288427*i\/5 = 0?\nAnswer: -43, -929\/26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -270797 bigger than -270800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 37. Let n(y) = 2*y + 21. Give n(p(i)).\nAnswer: -2*i + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1551 = -j + 1554. Let q = -87 - -90. Solve 3*u + n + 9 = q, j*n - 6 = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/(-10)*(-35)\/2 - 4. Let n = -81 - t. Let m be (-9)\/n*14\/(-147). Are -1 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 133*l + 4923. Let k be x(-37). Sort k, 10, -7.\nAnswer: -7, k, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*x - 9*x + 22*x)*((-2 + 7 - 1)*(3 + 2 - 4) - 27 + 6 - 12).\nAnswer: -58*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 2640.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence all when three letters picked without replacement from aaladall?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*n**2*w**3 + 8*n**2 + n*w**3 - 47422*n*w - 412918*w**2 + 8*w wrt w.\nAnswer: -546*n**2*w + 6*n*w - 825836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d**5 + 590*d**4 + 12116*d**3 + 22278*d**2 - 738144*d + 182952 = 0. Calculate d.\nAnswer: -33, -14, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 31. Let t = h + 15. Let n be t\/(-10) + 24\/10. Solve -n*c - 4 = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63769952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**2*u*x**3 - m**2 - 6*m*u*x**3 - 33101*m*u*x**2 - 5*m*x**3 - m*x**2 - 49*x**3 wrt x.\nAnswer: 6*m**2*u - 36*m*u - 30*m - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/4 + 4\/(1008\/1561).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9564*d**2 - 9537*d**2 - 34*d**3 + 19144*d**2.\nAnswer: -34*d**3 + 43*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88*m**3 - m**2*y**3 - 12*m**2*y - 10*m*y**3 - 155*m*y - 2*m + 2*y**3 wrt m.\nAnswer: -528*m - 2*y**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((4 + 5 + -6*(sqrt(1216) + -1) + (-2 + 1 + sqrt(1216) - (sqrt(1216) + -1 + 0 - sqrt(1216))))*-6)**2.\nAnswer: -43200*sqrt(19) + 1102495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -388 + 558. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 638826*r - 4862. Let l(t) = 11615*t - 88. Give 4*g(i) - 221*l(i).\nAnswer: -11611*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1013 (base 4) to base 5.\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 642773093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2)*(3 - 7). Suppose 2*z = -0*t - 2*t + 2, 3*z + 29 = 5*t. Suppose 2*k - 1 = -4*s - 5, 20 = i*k - t*s. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 338 + -194. Suppose -5*t = -3*j - p, -j + 92 = 5*t - 60. What is the least common multiple of t and 26?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 3352*a + 313313.\nAnswer: -(a - 3443)*(a + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 66 = -4*k, n - 18 = 32*k - 36*k. Solve n*v + 30 = 16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -826.\nAnswer: -826.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27.983 + -620.126412.\nAnswer: -648.109412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -57.4 (b) 0.2 (c) 2\/3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9787058 is divided by 151?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**3 + 16*l**2 + 88*l + 113. Give z(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-2) - 0)\/((-68)\/(-272)). Suppose -10115 = -a*f + 18151. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1603000 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3343121 (base 7) to base 8.\nAnswer: 1450561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**7\/315 + 11*n**6\/180 - 2*n**5\/15 - 93*n**2. Determine z so that c(z) = 0.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*h**3 - 21*h**2 + 2*h + 21*h**3 - 8*h**3 + 21*h**2 - 5 in the form y*h + a*h**3 + z + c*h**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 30896434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 0*h + 23 + 1\/4*h**4 - 1\/3*h**3 + 0*h**2. Find i such that g(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d + 5. Let h = d - -3. Solve -h*a - 1 = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 658280*o**2 - 27325205700*o - 19861798986000.\nAnswer: -4*(o + 740)*(o + 81915)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/45*1\/(-2)*15\/(-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/13)\/b**(-29))\/(b**19*b)**(1\/13))**(-17\/2) assuming b is positive.\nAnswer: b**(-3009\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -361297 divided by -48?\nAnswer: 361297\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**18\/(x*x**(-13)*x*x)*(((x\/(x\/x**(2\/5)))\/x*x)\/x)\/x*x**(-6))**28 assuming x is positive.\nAnswer: x**(2856\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2997 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/4*6\/30?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36950796893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21210 (base 6) in base 8?\nAnswer: 5506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeje when four letters picked without replacement from {e: 3, b: 4, j: 5}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 311, 696, 1235, 1928?\nAnswer: 2775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21102211 (base 3) to base 2\nAnswer: 1010100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 542\/14 + 8\/28?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/7760409 and -19\/24656?\nAnswer: 2855830512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -427, -701, -1153, -1789, -2615?\nAnswer: -3637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-210))\/((-13)\/52)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/9 and -17\/8151.\nAnswer: 24453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10045715 to the power of 1\/2, to the nearest integer?\nAnswer: 3169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 203532, 203534, 203536?\n\"Answer: 2*w + 203530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 171 divided by 88\nAnswer: 171\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 215.84 - 212. Let j = 3.5 - m. What is j rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1861 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-3\/10)*(q**3*q)\/(q\/(q*(q\/q**(-1)*q)\/q))*((q*q**2\/q*q)\/(q\/((q\/(q*q**(2\/9))*q*q)\/q*q)))**(-3\/19) assuming q is positive.\nAnswer: q**(308\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 320, -12, -1, 503 in decreasing order.\nAnswer: 503, 320, 3, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 38 = -3*s + 3*y, 4*s - 70 = -3*y. Suppose -f = -2*h + 8, 4*f - 2 = 2*h - s. Solve 3*c - 10 = 2*a, a + 9 = h*c - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 divided by -699?\nAnswer: 124\/699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/((72\/15)\/(-3))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*w**6 + w**2 - 9*w**2 + 2*w**6 wrt w.\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 6*g**3 - 3*g**4 + 6*g**3 - 12 + g**4 + 6*g**2 - 4*g**2 in the form f*g**2 + y*g**4 + m*g + c*g**3 + z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from {g: 1, q: 2, h: 1, y: 1, k: 5, t: 7}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442963935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u. Let b(i) = -3*i - 2. Let l(r) = 5 + 6 + 1 - 19 - 10*r. Let f = -38 + 24. Let x(j) = f*b(j) + 4*l(j). Give t(x(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1116, 2219, 3304, 4365, 5396, 6391?\nAnswer: 7344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -19*t**3 - 78*t**2 - 33*t - 98. Determine f(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxa when four letters picked without replacement from {a: 2, x: 17}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56780 (base 9) to base 14.\nAnswer: -dad4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*q = 270 + 288. Which is the biggest value? (a) -4 (b) 131 (c) q (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u**2 - 13*u + 16*u**2 + 13*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 4, y: 12, t: 2}. What is prob of picking 2 y?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2.42*3\nAnswer: 7.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*t**2 + 4)*(2*t**3 + t**3 - t**3) + (t**5 + t - t)*(-3 + 2 + 3).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + 1)*(-1)\/(-2). Suppose 5*t - p = 2. Let b be 0 + -1 + -40000 + t. What is b rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 94\/(-18) + (-6)\/(-27). Let o(v) = v**2 + 4*v - 2. Let k be o(q). Suppose 7*y + 11665 = 5*h + 9*y, -6999 = -k*h - 4*y. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 6*s. Suppose -5*u + 59 = b - 28, -u - 4*b + 6 = s. Let p = 42 - u. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5 + j)*(-16*j**4 + 9*j**4 - 1 - 1).\nAnswer: -7*j**5 - 7*j**4 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 203409947333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, x: 1, l: 4, v: 4, h: 1}. What is prob of picking 1 t and 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5890 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10885 + -10884.5. What is the closest to 0.03 in 5, 0.3, -0.4, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (992\/124 + 23216\/3)*(-3)\/(-2)?\nAnswer: 2, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3485 divided by -4?\nAnswer: -3485\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 + 1050 - 169 + x + 1446.\nAnswer: x + 2470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 + 87. Which is the nearest to -2? (a) -4\/5 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (26\/8 - -2) + 65\/(-13). Let z = -1019 - -1016. Which is the second smallest value? (a) 0 (b) z (c) q (d) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -146, -211, -276?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*z + 10*z + 4*m + 19, -24 = 6*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 2*r**2 - 10*r + 4. Suppose -n + 0*n + 4 = 0. Let j be g(n). Let x be (15\/(-9))\/(j\/12). What is the greatest common divisor of x and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 74.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273634 is divided by 135.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 + 2*i**2 + 4*i - 5. Let q be k(2). Suppose 0*j + 3*j - 4*u = q, -2*j + 30 = 4*u. Suppose 16 = 3*x + 4. Solve j = -3*s + x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*g = -73*g - 36. Calculate the remainder when 31 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 0.2, 0.4, -2\/19, 289\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, p: 3, g: 4}. Give prob of picking 2 g and 1 p.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103670 is divided by 64?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1623?\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 110196?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 740 - 5935\/8. Calculate the common denominator of k and 25\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 690 divided by -30.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, k: 4, m: 2, v: 1, d: 1, a: 2}. Give prob of picking 1 v and 2 m.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t + 3*t**2 - 4 + t**3 - 18*t**2 + 5*t + 20. Let y be b(14). Let z be (1\/(-3))\/(6\/y). Calculate the greatest common factor of z and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_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: Which is smaller: 38950474 or 38950477?\nAnswer: 38950474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three sixths of a day?\nAnswer: 5520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a + 2*a + 0*a)*(-1 + 2 + 2) - a + 3*a + 8*a)*(-7*a + a + a)*(7*a**2 - 3*a**2 - a**2).\nAnswer: -195*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14909660 + 0.4.\nAnswer: 14909660.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 8*a = -z + 12*a + 48, 0 = a + 313 - 303 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 23?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h*w**2*z**2 + h*w + 2*h*z**2 + 431039*h - 3377371*w*z**2 wrt w?\nAnswer: 2*h*w*z**2 + h - 3377371*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -142, -719, -1690, -3061, -4838, -7027, -9634, -12665?\n\"Answer: -r**3 - 191*r**2 + 3*r + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -21. What is the third derivative of -14*n**5 + 83*n**5 - 58*n**2 + 162*n**2 - b*n**5 wrt n?\nAnswer: 3720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -50163 (base 9) to base 6\nAnswer: -412303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 1, t: 1, y: 1, d: 1}. Give prob of picking 1 y and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 881 a factor of 3048260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 6*w. Let d be x(4). Let s be 2\/d - 57\/12. Let m = 1 - s. What is the smallest common multiple of m and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3189 + 3188. Which is the closest to r? (a) -0.06 (b) 45 (c) 0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/(-6) - -2)*9. Let w = d + 12. Let z be (2 + w\/(-9))\/2. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2975*y**2 - 338 + 161 + 178 + 2*y as o + j*y + g*y**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u + 4*u + 3*u - 4 + (2 - 2 + 5)*(-2*u + 6 - 6) + (-u - 3 + 3)*(2 + 6 - 1) as j + q*u and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*k - 5. Suppose -4*f = -6*f - 10. Does 15 divide (k + (-156)\/15)*f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -32. Let s be 4\/3*3\/1. Suppose 6*v = -t + 3*v + m, s*v = 8. Solve -2*h = 5*w + t, 4*h + 5*w + 10 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 8134376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 6:34 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(-6\/13)\/l))\/l)\/(l\/(l\/l**(-1\/24))*l))\/((l\/l**(-4)*l)\/(l*l**(-18))) assuming l is positive.\nAnswer: l**(-7019\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*((j\/(j\/j**(-1\/2)))\/j)\/j*j*j)\/j)\/j**(-1\/10))**(11\/7) assuming j is positive.\nAnswer: j**(-22\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 1. Let r(u) = -2*u**2 + 4*u - 5. Let q(j) = -3*n(j) - r(j). Let k be q(2). Solve 0*z + z + k = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a week in hours?\nAnswer: 5124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 53091.1 times -0.108\nAnswer: -5733.8388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (193 - 193 - (0 - 224\/6))*3. Let q(x) = 5*x - 4. Let d be q(4). What is the highest common factor of p and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/((-2166)\/627) + 1 + 34\/5.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-164)\/48)*(-16)\/(-40).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -18*n + 2. Is z(-1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 8. Let q be w(-10). Suppose -5*f + 40 = 3*o, -4 = q*o + 6. Let m(r) = -2*r**2 + 28*r - 7. What is the units digit of m(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + (20 - 10) + -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 + (8 - 1) + (-5 - 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 2.45.\nAnswer: 6.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 18*x**4 + 4 - 17*x**4 + 37*x**4 + 3*x in the form d*x**2 + g*x**3 + y + v*x**4 + p*x and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97e (base 16) to base 15.\nAnswer: -ac0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*o**4 + 28*o**4 - 3*o**2 - 1 - 13*o**4 + 3*o**3 to the form m*o + z*o**2 + l*o**4 + i*o**3 + a and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.944? (a) -3 (b) 1\/3 (c) 9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2475542 to 3 decimal places.\nAnswer: 1.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from knnnknnkknkknkknkknk?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -119*q + 18. Let h be d(5). Let m = h + 908. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93\/343 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 346 or 347?\nAnswer: 347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1927607 or 1927609?\nAnswer: 1927607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 1:27 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 74, 134, 188, 218, 206, 134, -16?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 1. Let r(b) = b**2 + 9*b + 5. Let o be r(5). Let y = o - 69. Let v(x) = 5*x - 11. Calculate y*c(i) + v(i).\nAnswer: -i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14218 and 101?\nAnswer: 1436018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 3.73036 and 1\/21 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3210 + -13?\nAnswer: 3142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iig when three letters picked without replacement from {i: 3, u: 3, g: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) 5 (c) 1\/6 (d) -6 (e) 21 (f) -10.5 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 328.16 - 328.21. Let g be (1\/(-1))\/(-1) - 1. What is the nearest to q in g, -0.6, -2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 0*k**3 + 0*k - 1\/60*k**5 + 0 + 0*k**4 - 31*k**2. Let g(t) = -t + 3. Determine g(x(z)).\nAnswer: z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 463.5955g in milligrams?\nAnswer: 463595.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - u + 5. Let v be z(0). Let x = 0 + v. Suppose -x*g + 0 + 5 = 0. Is g at most -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Suppose -30 = -4*w - 2*s, 0*s - 45 = -y*w + 5*s. Solve l = -4*l - w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.5 + -0.5. Let n = 9.999995 - b. Round n to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine halves of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 < 1286269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 364 by 103.\nAnswer: 364\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -902 + 1185. Let u = -4175.7 + 3907. Let d = x + u. Round d to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*c**5 - c**2 + 12*c**5 + 2*c**2 - 2 + (0 + 2*c**4 + 0)*(-12*c + 125*c - 64*c).\nAnswer: 99*c**5 + c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3221.6 and -19.\nAnswer: -61210.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 100*i - 1593. Give r(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.32 - -27.78. Let a = p - 38. Let l = a - -4. Is 1\/5 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 0*k + 14 = -4*a, -4*k + 13 = -a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -137)\/(25\/300). Suppose 15*l + 9*l = p. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4627\nAnswer: -4627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8649, -34568, -77755, -138198, -215885?\nAnswer: -310804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -20)\/(7\/(-28)). Let p be ((-3)\/(-4))\/(y\/(-32)). Which is the nearest to p? (a) 0 (b) 0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.444 - -2.144. Put z, -1\/2, -1 in descending order.\nAnswer: z, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 0.155 (c) 3 (d) 881\/4 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**4 - 26*q**3 + 236*q**2 - 394*q + 199. Let v(p) = 24*p**3 - 237*p**2 + 399*p - 198. Let u(g) = -3*f(g) - 4*v(g). Factor u(d).\nAnswer: -3*(d - 5)*(d - 1)**2*(d + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 6*n + 100. Suppose -v - v + 2*q + 10 = 0, -3*q = 5*v - n. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n**5 - 50*n**4 - 52*n**3 + 182*n**2 + 336*n + 72 = 0. Calculate n.\nAnswer: -3, -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 206*a + 27406. What is c(-92)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4971 - -4977. Suppose -3*x - 4*i + 2*i - 2 = 0, 5*x + 4*i + 2 = 0. Which is the nearest to x? (a) 0.1 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 + 2. Let n(k) = -3*k + 559. Give n(b(x)).\nAnswer: 9*x**2 + 553","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 163725 divided by -555\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*m**4 - 3132*m**3 + 6675*m**2 - 3758*m + 264 = 0 for m.\nAnswer: -66, 4\/49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*c**3 - 131761*c**2 + 8784*c.\nAnswer: c*(c - 8784)*(15*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = i - 5, -3*i + 69 = -3*w - 18. Let b = i + 39. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-108 + -18)*(8\/3 + -1). Let x = -171 - g. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/3 (b) 0 (c) 37 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + f + 3*f + (10 - 5 + 6)*(3 - 3 - 2*f) + 2 - 2 - 2*f.\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38 + 293*i + 666 - i**3 + i**4 - 1407*i**2 - 296*i + i**3 wrt i.\nAnswer: 12*i**2 - 2814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*o - 0*o. Suppose o*a + 6 = 7*a. Solve 5*t = a + 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-6*(-4277)\/546)\/(-7*(-10)\/(-35)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 2*o**5\/15 - 7*o**4\/12 + o**3 - 4*o**2. Suppose -3*v - 32 - 10 = 0. Let x(h) = 3*h**2 - 5*h + 2. Give v*x(i) + 5*c(i).\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/25)*j**(-14)*(j**(-15))**(-5\/7) assuming j is positive.\nAnswer: j**(-568\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3 - 22320*p**2 - 22317*p = 0. Calculate p.\nAnswer: -7439, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -40. Let f = b + 117. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -476 or -478?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*s**3 + 1855 + 553*s**3 - 1855 + 3*s**3 - 6*s**3 + s**3 + (3*s**2 - 2*s**2 - 3*s**2)*(-2*s + 2*s + 2*s) - 1 + 1 + 2*s**3 + s - s - 2*s**3.\nAnswer: 559*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 12 + 1)*(0*l**3 - l**3 + 6*l**3).\nAnswer: -70*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -390915 times 0.9\nAnswer: -351823.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b03 - 0?\nAnswer: b03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -38. Let m = r + -20. What are the prime factors of 3\/m - (-9)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1 - (5 - 1)) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824550 - 824550 + 2*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -928*g - 83631. What is x(-90)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584072 a multiple of 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 - (27 + -49 - 8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-17)\/(-7) - 20\/(-35). Let r be (88\/(-12)*u)\/((-2)\/3). Let s = 135 + r. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -283\/84 - -76\/21. Let m(g) be the second derivative of 0*g**2 + 2\/3*g**4 - 6*g + 0*g**3 + 0 + b*g**5. What is the third derivative of m(s) wrt s?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + 30*x**3)*(2*x**2 - x + x) - 4*x**5 + 0*x**5 + 8*x**5 + 5 - 2*x**5 - 5 + (0*x**2 - 3*x**2 + x**2)*(0*x**3 + x**3 - 3*x**3).\nAnswer: 66*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 182\/70 + 2\/5. Solve 33*z + b + 51*z**3 + 15*z**4 + 63*z**2 + 3 + 2 - 2 = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-1\/4)))**28)**(-2\/7)\/((z\/(z\/((((z**(-2)*z)\/z)\/z)\/z*z))*(z*z**(-5)*z*z)\/z)\/((z*z*z\/(z*z**4))\/z**(2\/9))) assuming z is positive.\nAnswer: z**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42500 rounded to the nearest one thousand?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.802018568 to 3 decimal places.\nAnswer: 2.802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 5*k - 2. Let c be t(2). Let v = -421\/123 - -72\/41. Find the common denominator of v and (-1212)\/(-80)*c\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((-53 - -4) + 30 - -19 - (-22 + 0)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from trgutttguktrgt?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 16. Let d be (6\/(-2))\/(-3) + -2 + 15. Let i = -1 - 23. Let p = d + i. Give u(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f*f\/f**(3\/16))\/(f*f*f**(-2\/21)*f)**(-1\/34) assuming f is positive.\nAnswer: f**(-17719\/5712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13186 is divided by 54?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 - 2*y**2 + 13*y + 2*y**2 - 12*y + 2*y**4 in the form n*y**3 + w*y + q + t*y**4 + b*y**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 4. Let o be y(9). Suppose o*a - 308 = -53. Calculate the remainder when a is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 10:58 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/4 + 90\/4 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 c when four letters picked without replacement from {i: 5, c: 7}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1540, -12303, -41592, -98719, -192996?\nAnswer: -333735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) - 2\/6. Let t = -11 + 10.8. Let f = -173\/4 - -44. Which is the smallest value? (a) t (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29016*d - 17 - 14514*d - 14528*d)*(5*d**4 - 2*d**4 - d**4).\nAnswer: -52*d**5 - 34*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -4, 2\/7, -82, 0.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7360.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67384?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1439062, -5756401, -12952020, -23025925, -35978122?\nAnswer: -51808617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 + -99.2. Let l = -1.134 - q. Round l to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/((-9)\/(-54)) + -112. Let r = -106 - o. Solve 2*i + 2*x = -4, r*i - 5*x + 10 = 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3952, 7894, 11836, 15778, 19720?\n\"Answer: 3942*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**36*m**20 assuming m is positive.\nAnswer: m**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18868003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6025 = -4*g + 5*w, -2*g - w + 2990 = w. Let c be (18\/(-15))\/((-1509)\/g + 1). Suppose 5*o - o + 5*y = 202, 4*y - c = -4*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j + 6*j = 80 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -5. Let g be (-2 - h\/(-6))*-2. Suppose 58*n - 202 - 60 = 28. Solve n*l = -0 + g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z = 31*z + 18. Let m(j) = -2*j**2 + 4 + 9*j - 4*j + 4*j**2. Let y be m(-4). Calculate the greatest common divisor of y and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 + 2*s**2 + 6*s - 4. Let b be t(4). What is the highest common factor of 36 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (6*(-3 + sqrt(475) + 1) - (-5*(sqrt(475) + 0) - sqrt(475) - sqrt(475))*6))**2.\nAnswer: -6240*sqrt(19) + 1094569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-385)\/(-2) + (4 - 22\/4). Suppose 194 = g + v. Solve 5*c - g + 17 = -k, 12 = -3*k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 0 - (5 + (0 - -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -19852997 <= -19852996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-20300)*28*20*2\/(-16).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47, 29, -51, -193, -397, -663, -991?\n\"Answer: -31*t**2 + 75*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/54 - 165\/(-135) - (-32)\/(-34).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 take away 92206091553?\nAnswer: -92206091524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/805 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*(-12 - 6). Let m be 20\/(-6) - (-4)\/v. Which is the nearest to -0.1? (a) -2\/7 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 19 + 18 + 10*z**3.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1.71 (b) 5 (c) 0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 16, 1\/2, -0.029, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -220009 divided by 6?\nAnswer: -220009\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r**2 - 9*r + 1 + 22*r - 14*r + (-r**2 + r**2 + 3*r**2)*(-3 + 6 - 2).\nAnswer: -4*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2237338?\nAnswer: 2, 163, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*p**2 + 185*p**2 - 94*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -1.173?\nAnswer: 1.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-760)\/228*1\/(10\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 333 - 333. Let u(t) = -2*t**2 - 6*t + 4. Let q be u(k). Solve -5*m = 5*w - 35, 2 = -0*m + 2*m - q*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1446, 4, -2, 1 in ascending order.\nAnswer: -1446, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**5 - 467956*p**4 + 13644479616*p**3 + 2453660985456*p**2 + 108732250817280*p - 111199555814400 = 0. What is p?\nAnswer: -90, 1, 58584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 328893399?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1415389*p - 35*p**3 - 1415389*p.\nAnswer: -35*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 11 - -8) + -1 + 20 + -11 + 12\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 6:41 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 493 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.008 (b) 5 (c) 0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/14 + 2343\/(-497). Let c(v) = v**3 + 6*v**2 - 5*v + 8. Calculate c(y).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-48)\/9 + 5)\/(2\/(-18)). Solve 15*l + m = 16*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3496 - k + 3496 + 2057*k**4 - 1614*k**4 - 3837*k**2 + 2491*k**4 wrt k.\nAnswer: 70416*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27306 = -o - 3*v - 4409, -2*o + 2*v = -45802. Is o a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*v + 20*v + 1 - 2*v**2.\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, y: 2, f: 2}. Give prob of picking 1 i and 1 f.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6599722 - 2?\nAnswer: 6599720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -10. Suppose 0 = 5*k - q*l - 45 - 45, -62 = -3*k + 5*l. Calculate the lowest common multiple of k and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 970 a factor of 7663626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -378609957 divided by 11473029?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 27 = 4*o. Solve 2*j = 2*d - 8, o*j = d + 5*j - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4275748?\nAnswer: 2, 43, 24859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (6892 + 3625 + 6662)*(3*x**2 + 3 - 3) in the form i + u*x + z*x**2 and give z.\nAnswer: 51537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 7*j + 46 = 2*k, 4*k - 74 = 5*j. Suppose -34 - k = -11*l. Solve 0 = l*n - 0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(-1 + 1 - w)*(1 + 2 + 2 + (1 - 2 + 2)*(-3 + 3 + 2)).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12341*q - 12347*q - 3 + 1 + 2.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -324, -531, -820, -1191, -1644?\nAnswer: -2179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12144686317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(144) + sqrt(144)*-2)\/((sqrt(108)\/sqrt(4) + sqrt(27))*-1).\nAnswer: 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3806953*b. Let o(n) = -n. Determine o(q(u)).\nAnswer: 3806953*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/17 in 2, -0.62, -5\/3, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 59 = 4*g + b, -2*g + 4*b + 28 = 0. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**2 - 191*p + 2. Let u(b) = 13*b**2 + 384*b - 5. Calculate -5*q(h) - 2*u(h).\nAnswer: -h**2 + 187*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14473733, -14473734, -14473735, -14473736, -14473737?\n\"Answer: -f - 14473732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -814 and -0.4?\nAnswer: 813.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 518 - 517.729. What is f rounded to 2 dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0454811145 - 751?\nAnswer: -750.9545188855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.058131 and 154.\nAnswer: 154.058131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1131876882 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**3 - 4*z**2 - z - 4. Let w(g) = 35704*g - 11*g**3 - 10 - 35705*g - 10*g**2 + 3*g**2. Let b(k) = -5*l(k) + 2*w(k). Suppose b(r) = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.05 or 0.0501?\nAnswer: 0.0501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*b + 5*b + 338040. Let f = -7937 - b. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 3*d + 2 = 0, -5*s + 1318 - 1326 = 3*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b + 586 = 5*r, 0 = 5*b - 2*r - 987. What are the prime factors of b?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(336)\/(1*(sqrt(7)*-2 - sqrt(7))) + (-1*((sqrt(432) + sqrt(432) + sqrt(432)*-1)*3 - sqrt(432))\/sqrt(9))**2.\nAnswer: -4*sqrt(3)\/3 + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.9 - -0.9. Let b = 0.343 - 0.641. Let c = b + -2.702. What is the closest to c in 0.5, d, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4913 divided by -20\nAnswer: 4913\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16062 + 16998 = 36*i. Which is greater: -69 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6138617 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -32*a**2 - 376*a - 177. Give i(-11).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -4\/15*q**5 - 8*q**2 + 0 + 0*q + 0*q**3 + 0*q**4. Let m(y) = y. Determine g(m(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 285, 2204, 7411, 17550, 34265, 59200, 93999, 140306?\n\"Answer: 274*q**3 + q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43.43 + 6.\nAnswer: -37.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14150473\/202 - -70052. Find the common denominator of -77\/10 and a.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 81 = -5*p, 7*m = 2*m - 3*p + 92. Suppose 2*j = j - 2*i + 26, 0 = -4*j - 4*i + 116. What is the remainder when j is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.4. Let l be 1 + 1 + 35\/(-20). Which is the nearest to -0.1? (a) 2 (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7340033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -81, -327 in decreasing order.\nAnswer: 4, -81, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 986 + -950 + 3\/1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 6*k + 8. Solve 2*z = k*s - 4*s, 3*z = -5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 982110365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 944343052393+0.5\nAnswer: 944343052393.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - x**2 + 1. Let j(r) = -r**2 + 2*r - 2. Let g be j(1). Let u = -11 - -27. Let v(k) = -20*k**3 - 16*k**2 + 16. Determine g*v(o) + u*w(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 3. Let l(d) = -3 - 2 + 5*d - 4 + 2. Give -7*c(y) - 3*l(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 17*w - 20. Let n be i(-12). Suppose 0 = -35*k + n*k + 15. Which is bigger: k or -12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/2 and 66\/10 - 7 - (-3334)\/9060.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*h - 9. Let j = -11 + 16. Suppose -4*i = 3*o - 2*i, -j*o = -3*i. Solve o = 5*x + h*s + 10, 0*x - 2*s = -x - 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 7*d**2 + 6. Let z be q(-7). Suppose -5*u + 10 = -0*w + 5*w, -2*w - 4*u + z = 0. Calculate the greatest common divisor of 9 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -319434\/401 or -798?\nAnswer: -798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 34\/5 of a kilogram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2 - 1.2. Sort i, -4, 2 in descending order.\nAnswer: 2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(4\/(-24)*3) - -198011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 35\/10*(1 + 1). Let q = b + 2. Suppose 8*l - q*l = -21. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/2 + (-974)\/(-230). Let h = 16121\/1380 + s. What is the common denominator of 71\/2 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 12849985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31014 - -31018. What is the second smallest value in y, 113, 1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-2.5\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15829, 2, -651.\nAnswer: -15829, -651, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1421804766*k**4 + 840*k**2 - 80*k + 1018 wrt k?\nAnswer: 34123314384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1190*h**2*r**3 + h**2*r**2 + 24839*h**2*r + h*r**4 - 416*r**4 - 83 wrt r?\nAnswer: -7140*h**2 + 24*h*r - 9984*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-8) - (-505)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 2*w - w)*(5 - 1 - 2)*(-2*w**4 + 4*w**4 + 0*w**4)*(17 + 28 - 27).\nAnswer: -144*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 0*k**5 + 2 + 37\/42*k**7 + 0*k**6 + 4*k + 1\/6*k**4 + 9\/2*k**2 + 0*k**3. Find the third derivative of w(v) wrt v.\nAnswer: 2220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 447 + -453. What are the prime factors of (86\/r)\/(39\/(-117))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooohhooohohhoovoh. Give prob of picking 1 o and 3 h.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 13*u**2 - 11*u + 16. Let k be a(-12). Let w(r) = 7*r - 1 - 5*r + 7 + k. Determine w(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/80)\/(-1)*4\/(-6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*w + 39*w = -2*m + 17878, -w - 3*m + 8947 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 11)*(-11*r**2 + 138408*r - 138408*r - 58) in the form l*r**2 + o*r + v and give l.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmb when three letters picked without replacement from kpmrb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from {f: 7, v: 1, m: 3, r: 3}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:35 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -38, -66, -100, -140, -186, -238?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddpsf. What is prob of picking 1 p and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-13 - 4) - ((1 - -1) + -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82688*l**3 - 83393*l**2.\nAnswer: -496128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1449758?\nAnswer: 2, 724879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11222 (base 3) to base 5.\nAnswer: -1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 10. Calculate g(13).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, and 1 a when three letters picked without replacement from {j: 6, d: 8, g: 1, x: 1, a: 1}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15508, -32370, -49234, -66100, -82968, -99838, -116710?\nAnswer: -133584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**3 + 6*f**3 - 2*f**2 + f**2 + (-8*f + 8*f + 2*f**3)*(3 - 3 - 2).\nAnswer: -2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151393\/15 - -10093. Suppose 4*c + 6 = -4*g + 6*g, -4*g - 36 = 4*c. Sort -0.5, g, h, 1\/3 in increasing order.\nAnswer: g, -0.5, h, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 685 - 411. Let d(q) = -4*q**2 - m*q + 274*q. Let l(x) = x. Give d(l(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1651700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -27. Which is the nearest to 2\/5? (a) 2\/11 (b) 5\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 + 133 = -3*x. Let a be ((-24)\/27*x)\/(2\/(-225000)). What is a rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20490623.\nAnswer: 20490623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 10 - 15 = -4*g, -2*g - 46 = -4*x. Let p(t) = -t**2 + 12*t + 16. Let c be p(x). Solve -b = c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1003 (base 5) to base 13.\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**4\/4 - 2*z**3\/3 - z + 420. Determine h(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 + 99.1. What is the second biggest value in 3, -0.3, b, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - -8. Suppose 0 = 3*o - 9, -3*o = -c - 2*c + t. What is the smallest common multiple of c and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30063710?\nAnswer: 2, 5, 3006371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*x - 2 = 0. Suppose -5*u - 5*i = 5, x*u - 2*i = 7*u - 4. Suppose -2*y = -u*n + n + 61, -y - 287 = -5*n. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7 - 3 - 4 - 9*y. Let h(m) = 7*m. Calculate h(f(l)).\nAnswer: -63*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k\/k**(-1\/4))\/(k\/(k**0*k*k))**(-4\/23)*(k**(2\/3))**(-16)*(k**3*k)\/k**(-2\/3) assuming k is positive.\nAnswer: k**(-1005\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + k**3 - 2*k + 5*k**3 - 2*k**3 - 4*k**3 + (4*k - 4*k - k**2)*(5*k - 4*k + k) as g*k**2 + o + i*k**3 + z*k and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 32*w + 18. Let h(n) = 27*n + 17. Let b(x) = 3*c(x) - 4*h(x). Let d(r) = 2*r**2. Give d(b(z)).\nAnswer: 288*z**2 + 672*z + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19431961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916 is divided by 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -14769.2872 to the nearest 100.\nAnswer: -14800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*(-2*sqrt(684) - sqrt(684)) + (sqrt(684) - (sqrt(684) + 1)) + 2)**2.\nAnswer: 216*sqrt(19) + 73875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.642 times 0.01?\nAnswer: 1.34642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969235581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 13*v - 1. Let a = 3 + -2. Let g(z) = -2*z**3 - 2*z**2 + 3*z + 2. What is the least common multiple of g(-2) and q(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**4 - 4765*o**3 + 61260*o**2 - 150500*o + 94000 = 0. What is o?\nAnswer: 1, 2, 10, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgfyb. What is prob of sequence fy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 507 or 522?\nAnswer: 507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + a - 4. Let p be c(3). Suppose -9*u = -8*u - p. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 3*c + c + 5 - 5 - 2*c + (-c - c + 0*c)*(-3 + 7 - 2) + 3*c - 3*c + c - 2*c + 6*c - 2*c)*(-18 - 14*c + 25 - 11).\nAnswer: 56*c**2 + 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 13*t + 8. Let y(u) = u**2 + 13*u - 8. Let a(d) = 3*x(d) + 4*y(d). What is the remainder when 15 is divided by a(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 651*i**3 - 264*i + 1.\nAnswer: 3906*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 c when three letters picked without replacement from {a: 1, c: 1, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 3*1 + (7 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/958790 and -209\/210.\nAnswer: 2876370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 223823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116020155*y**2 - 3438*y - 1953 wrt y?\nAnswer: 232040310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 27 = 15*p - z, 54*p - 2*z + 8 = 59*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g + 10. Let s be z(-2). Let i = -5.5 + 5. Sort -5, s, i in descending order.\nAnswer: s, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -456 - -820. What is the greatest common factor of k and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.00331 - 0.26669. Sort -217, 3, g in descending order.\nAnswer: 3, g, -217","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*p + 4*p + 112, z - 3*p - 63 = 0. What is the first derivative of 1 + 79*r - 2 - z*r - 10 wrt r?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -68, 6098 in ascending order.\nAnswer: -68, -11, 6098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 7576, 4, 17, 18, -4 in decreasing order.\nAnswer: 7576, 18, 17, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 785 - 752. Let u be 1\/4*(57 - n). Solve 0 = 5*h + u*h - 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - (sqrt(132)\/sqrt(6) - sqrt(22)))*1 + sqrt(22))\/(sqrt(1584)*2) + (-4*(sqrt(6)\/sqrt(12))**2 - ((-1 + sqrt(72))**2 + sqrt(2))*6).\nAnswer: -440 + 793*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 382\/(-573)*3*2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114.8 - 115. Which is the third biggest value? (a) -0.032 (b) -1\/3 (c) 0.1 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 l when three letters picked without replacement from lttljtllljjllt?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 2*y - 2. Let x be (-16)\/(-3) - (-3)\/(-9). Let c(k) = 3*k**2 - 3*k - 3. Give x*b(i) - 3*c(i).\nAnswer: i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5099746 + 0.51. Round q to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -5*l + 7, -5*q = -3*l + 8*l - 25 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 22*f**3 - 14*f**2 + 4*f + 4. Let d(t) = 45*t**3 - 27*t**2 + 9*t + 9. Let z(v) = 4*d(v) - 9*w(v). Find the third derivative of z(x) wrt x.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11210 - -1122121?\nAnswer: 1211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/(-210)*(-15)\/(-20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274385525?\nAnswer: 5, 17, 37, 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(5\/4)\/j)\/(j\/j**(-18)))\/(j*j\/(j\/(j\/((j\/j**(-3\/2)*j)\/j))*j*j))**(-3\/13))**(-27) assuming j is positive.\nAnswer: j**(27135\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -700012 and -542611.\nAnswer: -1242623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 561 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((810\/40)\/9)\/((-1)\/(-4)). Is 35*h*1\/3 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = s + 8*z - 4*z, -2*s + 2*z = 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -5 (b) -4\/3 (c) 7167 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 285011.4 centuries in months?\nAnswer: 342013680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12338998*r**6 - r**2 + 6612057*r + 1 wrt r.\nAnswer: -1480679760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -0.073\nAnswer: -0.00146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/15 - ((-13)\/52)\/((-5)\/260)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 53*k**2 - 9000*k.\nAnswer: k*(k - 72)*(k + 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25481545 to the power of 1\/2, to the nearest integer?\nAnswer: 5048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 525 + -523. Suppose -3*j - 1 = -8*j - b, 0 = -v*j - 4*b - 14. Solve -3*d - 7 = -j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 51 + 26 + 25. Let x(f) = 2*f**2 - 2*f - 2. Suppose -5*i = -7*i - 8. Let s(h) = 8*h**2 - 9*h - 9. Let j(p) = i*s(p) + 18*x(p). Calculate n(j(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 116 - 10?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 585*c. Let t(b) = -2609*b**2. What is k(t(j))?\nAnswer: -1526265*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -1 (b) -5 (c) 0.01 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 93, 0 in descending order.\nAnswer: 93, 48, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4905\/5*(-2)\/(-3). Suppose a + 2*z = g + 1207, z = 2*a - 3722. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 4. List the prime factors of x(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -11*p + 117. Calculate the remainder when p is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (6*(sqrt(343) - (sqrt(343)*-2 + sqrt(343))) - sqrt(343)))**2.\nAnswer: 34300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + 5*w - 2. Let s = -24 + 2. Let k be s\/8 - (-9)\/12. Let x(b) = b - 1. Let z(o) = k*x(o) + g(o). What is the second derivative of z(j) wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 15) to base 6.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(45\/(-60))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/340 and -10\/106029?\nAnswer: 2120580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2340\/(-585))\/((-648)\/(-4))?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2016 and 140?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117))**2*-2 + (0 + sqrt(13))*2 + (-2 + 1 + sqrt(13) - sqrt(13))**2*-1.\nAnswer: -235 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 - 2*c + 6)*(-4 + 2 + 0).\nAnswer: 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 375031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 292 = -100. Let l = r - -352. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 0 - (-18)\/(-2). Let i = 9 - k. Calculate the lowest common multiple of 22 and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06201028*-4\nAnswer: 0.24804112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1160*b - 1157*b - 32 + 2305*b.\nAnswer: -12*b - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5889*j**3 + 1652*j - 1652*j - 5887*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4468 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11397 - 12552 = -11*w. What is the lowest common multiple of w and 1750?\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6953 and 153493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*20\/(-48)*(-11)\/((-275)\/40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 39389 divided by 5627\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -461*s**2 + 5*s - 10. Let r(c) = -231*c**2 + 2*c - 4. Give 2*a(m) - 5*r(m).\nAnswer: 233*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.056 in 31, 2\/21, 2\/15, 0.1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2367800 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3 = c, -c = -3*d - 1551 + 1534 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866191 is divided by 12372.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - (4 - 1) - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, -0.1, -3502 in increasing order.\nAnswer: -3502, -0.1, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4166 - 56.6794. Let u = f + 58. Let t = 0.806 + u. Round t to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2. Let c(u) be the second derivative of 1\/6*u**4 + 5*u + 0*u**3 + 0 + 0*u**2. Determine b(c(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131 + 131. Which is the second smallest value? (a) k (b) -2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 14*a**2 + 100554*a + 905393. Determine t(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-8))\/(-9) + (-5)\/(-1). Solve u*c + 1 = 4*g, -2*c - 2*c = 4*g + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 4*r + 2*r)*(-3 + 2 + 0 + (-2 + 1 + 2)*(2 + 0 - 4) - 2 + 5 - 2) + (0*r + r + r)*(-5 + 73 + 4) - 4 - 12*r + 4 as n*r + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 3*q + 7*q - 5*q = -9*y + 2*y - 11, -3*y = 35*q - 157 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(18) - sqrt(54)\/sqrt(3)) + 4))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/5)*y)\/y*y)\/y**(2\/13)*(y\/y**(-1\/2)*y)\/(y*y*y**(-1)) assuming y is positive.\nAnswer: y**(383\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -2\/17, 0.04, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2890 and 34850?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 - 177 = 5*m. Solve -2*t + q + 18 - 5 = 0, t + m*q = -16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*i = 3*i + 26, 2*u = -3*i - 8. Suppose k - b = u*b + 21, 3*b + 15 = 0. Let y be ((-9)\/6)\/(k\/(-28)). Solve y = -2*x + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + 1061510?\nAnswer: 1061523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*l + 31, 3*z = 4*l - 9*l + 32. Let v = z - 9. Solve 5*u + 3*f + 25 = -f, 4*u - 2*f + 20 = v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.11. Let x = -0.09 + a. Let c = 0 - x. Are c and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6412 is divided by 101.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 210986291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 264 - 96 = 0. Let p be l\/(-105)*-1 - 2\/5. Factor 18\/7*t**2 + 4\/7*t**4 + p + 10\/7*t + 2*t**3.\nAnswer: 2*(t + 1)**3*(2*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 1 = -3*i. Suppose -i*z + 2*z = 0. Let h(v) = -2*v - 2. Let p be h(-3). Solve 2*g - 5*w = z, 3*g + w = p*w - 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3460.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + 0.27. Let s = 2.91 - -0.09. Sort s, f, 0.1 in increasing order.\nAnswer: 0.1, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 4*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 407 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 5*s**3\/3 - 2*s**2 + 3*s + 2. Let w = 5 - 3. Is b(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f**3 + 44*f - 44*f - f - 2*f**3 + f + (-2*f**2 + 0*f**2 + 0*f**2)*(-75*f - 80*f + 42*f) to a*f**2 + y*f**3 + i*f + b and give y.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -151 - -4078\/27. Let f = j - -43\/297. Which is the third smallest value? (a) 3 (b) 15 (c) 2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6177009 to the power of 1\/2, to the nearest integer?\nAnswer: 2485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 7)*(0*h**3 - 3*h**3 - 2*h**3) + 3*h - 3*h**3 - 3*h + h**3 - 2*h + 2*h.\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -0.026425?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5027466?\nAnswer: 2, 3, 229, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*o - o - 3*o)*(-4*o + 0*o + 0*o) + 0*o**2 - 2*o**2 + 3*o**2)*(3*o**2 + 4*o**2 - 5*o**2).\nAnswer: -14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 30 = 2*b. Suppose z = 3 - 1. Suppose 3*q - z*q = 48. Calculate the highest common divisor of b and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(63)\/(sqrt(9)*-4*4))**2.\nAnswer: -7\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 4*t + 5*x, -x - 29 = t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1000101000000010000110 (base 2) to base 10\nAnswer: -2261126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -221 and 65.51.\nAnswer: -14477.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1076, -1069, -1062, -1055, -1048?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {x: 4, a: 6, v: 2, g: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + i**3 + (-2 + 3 + 1)*(0 + 0 + i**3) - 2*i**3 + 20*i**3 - 8*i**3 + 2 + (-2 + 2*i + 2)*(-4*i**2 + 2*i**2 + 4*i**2).\nAnswer: 17*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3325000 rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 535 and 945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2 - 1 + 1 - 1 + (4 - 3 - 2)*(4 - 3 - 3) + 0 + 3 - 2 - 1 + 3 - 4 - 1 - 1 + 1)*(-7*p**4 + 10*p**4 - 8*p**4).\nAnswer: -5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 1 + 194*o - 15.\nAnswer: 194*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 3:49 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3410443 (base 5) to base 13.\nAnswer: 2149b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**5 + 18*r**4 - 498*r**3 - 1668*r**2 + 20295*r - 18150 = 0?\nAnswer: -11, 1, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 91*a + 64. Let l be g(-9). Let t = -439 - l. 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 ten thousands digit of 1130136561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**4\/4 + 19*f**3\/3 + 21*f**2\/2 + 16*f + 9. Is w(20) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-7))\/((-20)\/10)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2449 + -2395. Solve u = -27*w + 189 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {s: 1, r: 8, y: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 0*t - 23 + 3*t - 9*t**2 + 33 - 12. Let k(f) = -9*f**2 + 3*f - 3. Let w(q) = -3*b(q) + 2*k(q). Is 5 a factor of w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.7. Let n = y - 0.2. Which is greater: -5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s**3 - 113*s**2 - 227*s - 15. Let n(m) = -5*m**3 + 57*m**2 + 113*m + 9. Let y(h) = -3*i(h) - 5*n(h). Factor y(j).\nAnswer: -2*j*(j - 29)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -483*t - 1757. List the prime factors of r(-7).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1019)\/(-5095))\/((-2)\/(-80)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51965397 by -1.\nAnswer: -51965397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 - t + 14. Suppose 56*s - 99*s + 48 = -55*s. Calculate v(s).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - sqrt(300)\/sqrt(5))*-3)\/(sqrt(60)\/sqrt(180)) + (sqrt(2450)*-3)\/(sqrt(160) - (sqrt(160) - (sqrt(160) + -3*sqrt(160)))).\nAnswer: 21*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q = -4, q = m. Let y(g) = 3*g**3 + g - 1. Let p be y(m). Let b = -52 + 49. What is the closest to -1 in -0.3, b, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3962884896 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, 20, 86, 182, 308?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c35 + 1cea?\nAnswer: 10b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 779670 * 4\nAnswer: 3118680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 - 7*z**3 + 2*z**3 + 4*z**2. Let x(v) = -9*v**3 + 11*v**2. Let j(a) = a**2 - 9*a - 4. Let d be j(9). Calculate d*x(l) + 7*f(l).\nAnswer: l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37.7 + -36. Let o = -1.5 + j. Which is the closest to o? (a) -1\/8 (b) -0.5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twelve sevenths of a week?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + 0 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 + 3 + 8*u to the form j*u + a and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3889, -3930, -3947, -3928, -3861, -3734?\n\"Answer: 2*d**3 - 55*d - 3836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2260830 and 88660?\nAnswer: 4521660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -1229*t**8\/168 - 688*t**5\/15 + 12*t**2 - 76. Find the third derivative of k(y) wrt y.\nAnswer: -147480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 - 83 + 63 - i**3 + 4*i**2 - 3*i**2 + 0*i**4 in the form j*i + b*i**2 + f + g*i**4 + l*i**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1682836.93+-1.713\nAnswer: 1682835.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 116134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-4) - (-11 + (-147)\/(-14)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**4\/9 + 4*s**3\/3 + 8*s**2\/9 - 4*s\/3 - 10\/9 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -3*c + 3*w, -3*c = 5*w + 24 - 144. What is the greatest common divisor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 302 + -300. Let q(f) = -2*f**3 - 4. Let s(k) = k**3 - k**2 + 3. Determine m*q(y) + 3*s(y).\nAnswer: -y**3 - 3*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1\/2, 2\/9, -109?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1587349719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -1 + 14 + -3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14716 = -2*b - 3094. What are the prime factors of b?\nAnswer: 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 41532*x - 431226756.\nAnswer: -(x - 20766)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (0 - 136\/(-96)). Suppose 2 - 4 = -3*g + w, 7 = 3*g - 2*w. Is g at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3762, 3710, 3626, 3510, 3362?\n\"Answer: -16*m**2 - 4*m + 3782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1989073 is divided by 101?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/21 and 145\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-285)\/(-209)*451\/(-1353)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -9.\nAnswer: -9, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - s**2 - s + (17 - 6*s - 17)*(-s + 3*s + 3*s) + s**2 - 5*s**2 + 2*s**2 + 0*s**2 - 2*s**2 + 3*s**2.\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1053564 (base 7) to base 16\nAnswer: -1ff9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2\/7 (c) -0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkssor. What is prob of picking 1 s, 1 o, and 2 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 3*z + 1. Let b be i(4). Let k = 358 + -356. Suppose -u - 65 = -4*u - 5*h, u - k*h - 18 = 0. What is the highest common divisor of u and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/5, 2\/9, 7.\nAnswer: -2\/5, 2\/9, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -172.68 + 173. Which is greater: f or -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20903891 is divided by 908863?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tutt?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.233739 weeks?\nAnswer: 746165347200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142\/33 - -40\/11. Let z be (11\/(-6))\/(3\/30). Let g = -18 - z. What is the nearest to b in 0.1, g, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let z(t) = 7*t + 8. Let r be 36\/28 + ((-16)\/7 - -2). Let g(v) = r*z(v) + 4*c(v). What is g(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2515457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 910979824 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 1:27 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/108 and 28\/243?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88199707.\nAnswer: 479, 184133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904) - (sqrt(2904) - (sqrt(2904) - sqrt(2904)*-2 - sqrt(2904))*-1))\/(-3*3*(sqrt(72) - sqrt(8))).\nAnswer: 11*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 274527 and 42834.\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183836 divided by 141?\nAnswer: 8396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 195565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i + 3 - 2 - 6 + 28 - 9.\nAnswer: -9*i + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1316\/(-22) + (-8)\/44. Let p be 4\/(z\/9)*-5. Suppose -2*i + 3*f = 3 - 1, p*f - 12 = 0. Solve s - 18 = i*l - 0*s, l = 3*s + 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/(-44) + (-2)\/4. Factor 1\/4 - 1\/4*n**2 + d*n.\nAnswer: -(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -158 - -2684\/17. Sort -4, -1, q in ascending order.\nAnswer: -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 242991 divided by -242991\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.029 * 99.7.\nAnswer: -2.8913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - (-28)\/(-5)) + (-7)\/(-20). Let z = -1 - -4. Let x = -9 - -5. Which is the closest to i? (a) z (b) x (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 358 - 315. Let b = -107 - -68. Let k = b + x. Sort k, 0.06, 4\/3 in decreasing order.\nAnswer: k, 4\/3, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 879*s**4 + 872*s**2 wrt s.\nAnswer: 21096*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 8*j**2 + 11*j - 35. What is n(8)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 1 + 79*m - 45*m.\nAnswer: 33*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 - (10 - 4) - 3432\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*l = 3*l + 10, l = -f + 8. Let y(u) = -3*u**2 + 4*u + 1. Let p be y(f). Let v be 9\/(-3) - p\/15. Which is the nearest to 1? (a) v (b) 4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32263, -64555, -96847?\n\"Answer: -32292*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -303*y - 5 + 1364*y + 5 + (0*y + y + 0*y)*(-1 - 4 + 3).\nAnswer: 1059*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32669202149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*y - 491 + 56, -2*y = 2*i - 166. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -293*s**2 + 0*s + 0*s + 2*s - s**3 - 2 + 291*s**2 in the form r*s**3 + z*s**2 + b + p*s and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x. Let l(h) = 2*h**2 - 61*h - 42. Let j be l(35). Let y = -247 + j. Let i(v) = 2*v. Give y*i(g) + 6*u(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 133 + 2. Suppose 2*v - 5*v = 81. Let n = v - l. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) -5 (c) -2\/9 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(720) - (sqrt(720) - (3*sqrt(720) + 2 - sqrt(720))) - sqrt(720)) + -4))**2 - (sqrt(720) + 2*sqrt(720) + 2 - (sqrt(720) + -3)*1).\nAnswer: -72*sqrt(5) + 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 24*j**2 + 25*j - 36. Give r(-23).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2502 + 3154?\nAnswer: 5656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 + 2*n**3 + n**4 + 28*n - 4 - 28*n - 4*n**2 to l + z*n**2 + r*n**3 + y*n**4 + v*n and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m - 6. Let a be d(-5). Let p(b) = b**3 - 3*b**2 - 3*b + 3. Let l be p(a). Let i(h) = h**2 - 6*h - 7. Let x be i(l). Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6295*g = 6294*g - 8 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = h, j + 2*j + 3 = 0. Suppose -h = -2*x - 10, s + 3*x = 4. Let d = 61 - s. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f. Let v(h) = 2*h - 30*h**2 - 2*h - 17*h**2. What is v(s(u))?\nAnswer: -47*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 - -18. Let j = o - -78. What is the third smallest value in 0.8, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 19.6599255\nAnswer: -22.6599255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*r - 2*s, 2*r = 4*s + 50 - 12. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 27?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2*v**2 + v**2)*((2 - 3 + 0)*(-2*v**2 - 4 + 4) - 4*v**2 - 27*v**2 - 5*v**2).\nAnswer: -34*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 104369371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x + 8. Let y be z(-6). Let n = y - -26. Solve n*u - 2*a = -4 - 4, -4*u + 4*a = 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/2 (b) 1 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -32\/105?\nAnswer: -32\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 - 1486*a**3 + 4446*a**2 - 4442*a + 1480.\nAnswer: 2*(a - 740)*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h**3 + 4*h**2 - 2*h. What is w(2)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4857318803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - g + 24. Let d be g\/10*140\/(-56). Let q(m) = m**3 + m**2 + 2*m - 2. What is q(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 51 + -2?\nAnswer: 4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**5\/5 + 1449*r**4\/4 - r**2 - 107*r - 3603. Find the second derivative of g(w) wrt w.\nAnswer: -12*w**2 + 8694*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -13.3. Let g = 0.8 + l. Let v = -5 + 7. What is the nearest to 0 in -0.2, v, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -593 - -596. Solve -t = -f - 3, 0*f - o*f + 3 = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -445. Let p(c) = 39*c + 1. Let q be p(7). Let h = d - q. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32400 (base 5) to base 13\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -8 (c) 2\/19 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -351 + 346. Sort -82, q, 3 in decreasing order.\nAnswer: 3, q, -82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2560 - 2409. Solve -i*f - 40 = -143*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 3, i: 4, u: 3, v: 2, t: 3}. Give prob of picking 1 v and 1 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-252)\/72*622\/(-7).\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -400606678879\/9844509985 + 1\/28207765. Let k = -4822268\/122499 - u. Let l = k + 2\/351. Which is the biggest value? (a) -2 (b) l (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 + -72 + 3 + (-2 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36792093\/8 + 4605220. Let p = f + -6221. Calculate the common denominator of -67\/12 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16322493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1131*b**3*f**2 - 8*b**3*f - b*f - 2 wrt f?\nAnswer: -2262*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/((c\/(c**(-1\/9)*c)*c)\/c))\/c*c)\/(c*c**(2\/11)))**(10\/11))**(-6\/11) assuming c is positive.\nAnswer: c**(580\/3993)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaaxaxaaaaxaaaaaa?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**2 - 2*s + 1. Let h be v(1). Suppose -t - a + 33 = 0, 0 = -0*t + 3*t - h*a - 59. Calculate the remainder when t is divided by (1 - (-2)\/(-6))*15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/9*(-3)\/2. Suppose -4*j = -16, -5*j + f = -2*m - 0*j. What is the remainder when m is divided by -1 - (-10)\/(1 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76036 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740590 divided by -7?\nAnswer: -1740590\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q + 284. Calculate m(34).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -109.4*0.9\nAnswer: -98.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -3142?\nAnswer: -15\/3142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 14*t + 10. Let q be r(-13). Let p be 3 + ((-732)\/4)\/q. Let w(s) = -6*s - 8. Let l be w(-4). What is the greatest common divisor of l and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47, -93, -137, -179, -219?\n\"Answer: b**2 - 49*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**4 - 19*s**3 - 18*s**2 + 864*s + 864 = 0.\nAnswer: -12, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-11 - (34 - 23)) + 30 + (0 - -44)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**2 - 70*o - 1. Let t(n) = 14*n**2 + 210*n + 2. Give -3*t(z) - 8*x(z).\nAnswer: -2*z**2 - 70*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 7. Let f be q(-5). Let d = 4 + f. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420 by 9.\nAnswer: 140\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 4*c + 4*c)*(-2*c**2 + 2*c**2 - c**2) - c + c + 2*c**3 + 6*c**3 - 4*c**3 + 2*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-1 + (-1260)\/(-330).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**5\/50 - n**3\/15 + 11*n. Find x such that q(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 130\/134*(1 + 0). Is -1 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*t + 533*t + 14940 = 0 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4485\/133, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4954, 4950, 4944, 4936, 4926, 4914, 4900?\nAnswer: 4884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 + 1466*b**2 + 826770*b + 68279050\/3.\nAnswer: 2*(b + 29)*(b + 1085)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -817585.41 from 0.781.\nAnswer: 817586.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 2. Let m(w) = -6*w**2 + 15. Determine 15*b(q) - 2*m(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 690, 689, 688?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4785.9 + -2446.2. Round t to the nearest ten.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 568, 20, 8, -3 in descending order.\nAnswer: 568, 20, 8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 14*f**2 - 11*f - 18. Let c be u(7). Let r = c + 871. What are the prime factors of r?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (-83)\/(-5))*(-79 - 1). What is the highest common divisor of 51 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (0 - 2) + 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r. Let i = r - 5. Let k = 115 - 121. Which is smaller: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-20))\/(12\/(-48)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = h + 3*h. Suppose 0 = 5*n - 0 - 5. Let r(v) = -v - v + n - h. Give r(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93*r**4 + 54*r**2.\nAnswer: -2232*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 682675955 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -10. Suppose -2*l = 5*r - l - 20, 3 = -4*r + j*l. Solve -4 = -o + r*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/24*((-122)\/28 - (3 + -8)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 4*o**2 - o - 3. Let f be q(3). Suppose -f*k - k = -476. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 - -96.2. Let v = -174 - -116. Let s = h - v. What is s rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112 (base 11) in base 15?\nAnswer: 67a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/5)*x*x*x\/(x**(-1\/15)\/x)*x*((x**1*x)\/x)**(-3\/8) assuming x is positive.\nAnswer: x**(103\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*g - 4 - 5 = 0, -6 = j + 5*g. Solve s = 4*f - 14, -s - s = -5*f + j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 24 = 11. Let k = 18 + -10. Suppose 3*v = 9, 7*v - 3*v + k = w*c. Solve 9 = -c*t + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k - 3*k + 0*k in the form g + w*k and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d. Let b(m) = 2*m**2 + 10*m - 10. Let g(f) = f - 1. Suppose -16 = -20*v + 16*v. Let a(t) = v*b(t) - 40*g(t). What is p(a(h))?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x + 6. Suppose 2*h + h + 24 = 3*m, 12 = -m - 3*h. Let w(g) = -2*g - 1. Let z(p) = -3*p - 2. Let v(n) = m*z(n) - 5*w(n). Give q(s) + 5*v(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 + -44. Suppose 0 = -2*b + a + 15, -2*b + k = b + a. Calculate the remainder when 27 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163884 divided by 84\nAnswer: 1951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12645716 by 2.\nAnswer: -6322858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 9*v**2 - 10*v + 18. What is h(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 9. Suppose -p = -1, 10 = w + 3*p + 2*p. Let q be a(w). Let g be (-36)\/q*4\/18. Solve g = u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16265503\/2 or -8132752?\nAnswer: -8132752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 39854*o**3 + 0*o + 39850*o**3 + 0*o.\nAnswer: -4*o**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asvv when four letters picked without replacement from vvhvsnnthhva.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(85)*4*1)\/(sqrt(605) + (sqrt(605) - 2*sqrt(605)*-3))*-1)**2.\nAnswer: 68\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11c + -55457?\nAnswer: -55339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 62 = 5*y - 2*r, 44 = -2*y - 4*r. Let w = 28 + y. Is 0*(-3 + 2) + w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 0*v + 52. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -265.9 - -261.9. What is the second biggest value in 1\/3, 2, c, -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxxxkxxxx. What is prob of sequence kk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50989 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/4*10\/(-3). Suppose -u - p*i + 27 = 0, -i + 0*i = 5*u - 135. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 s when three letters picked without replacement from {g: 2, j: 1, l: 1, s: 2, i: 1, t: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9175 + 0.0995. Let f = 0.81203 + n. What is f rounded to 4 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*sqrt(88)\/sqrt(32) + 4 + -4)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4725362600 a multiple of 670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -92.3151.\nAnswer: 276.9453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126875, -503862, -1132173, -2011808, -3142767, -4525050?\nAnswer: -6158657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-72)\/15*(-210)\/(-9). Calculate the greatest common factor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 - 6*z - 10. Let u(d) be the first derivative of -d**3\/3 + d + 43. Let m(h) = a(h) + 4*u(h). Determine m(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6790 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 723564 and 241188?\nAnswer: 723564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 12*l + 8. Give f(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-70)\/(-21))\/(-1)*15\/(-2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.02 and 0.3?\nAnswer: 0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 47677.695 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153 - 71. Suppose -4*y + n = -26. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 69*h - 7. Is f(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 3. Let j(m) = m**2 + m. Let p(x) = -5*x**2 - 2*x - 5. Let h(b) = -6*j(b) - p(b). Let i be h(-4). Let z be q(i). Which is bigger: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*j**4 + 37*j**4 + 6*j**4 + (-3*j**2 - j**2 + 2*j**2)*(3*j**2 - 4*j**2 + 3*j**2) + 3*j**4 - 4*j**4 - 11*j**4.\nAnswer: 37*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 500 - 462. Solve 5*d = -i + 33 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.649807 nanograms to grams.\nAnswer: 0.000000007649807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(-1 + sqrt(68)\/sqrt(4)))**2 + -5.\nAnswer: -59 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 26. Let i = a + 13. What is the highest common divisor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-7)\/(-1)*(0 - -35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323549*p**3 + 161774*p**3 + 161784*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 11:25 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -5, 1, 9, 19?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12432402 (base 5) to base 12\nAnswer: 5b99a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 12:22 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 3:27 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -2*c**3\/21 + 8*c\/7 - 10. Factor f(x).\nAnswer: -2*(x - 2)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1285.9, 0.5, 4\/451?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -4, -18 in decreasing order.\nAnswer: 4, 1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271340965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 8*r**2 - 10*r - 6. What is w(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/14)*w)**(3\/4) assuming w is positive.\nAnswer: w**(45\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137386 is divided by 5724?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7721369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + g**2 + 0*g**2)*(g**2 + 0*g**2 - 3*g**2) - 4*g**2 + 4*g**2 + 3*g**4.\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1142 - 1121. Solve 5*u - h = -2*v, -4*v - 18 = -8*u + 6*u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -381311.6 and -22102.\nAnswer: -403413.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 + ((-2 - -8) + (-4 - 15) - -5)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 - (-5 - (7 + -11))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33000048.9 minutes to weeks.\nAnswer: 3273.814375","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - 135*k + 64*k + 24 to the form p + x*k and give x.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from bdewubuwuobeded.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -115 (base 13) to base 11\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4\/4 - 123*a**3 + 20007*a**2\/4 - 120285*a\/2 = 0. What is a?\nAnswer: 0, 27, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - 4*p)*(2*p - 1 + 1) + 6*p**2 + 98*p - 4 - 98*p.\nAnswer: 4*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1386 and 117051?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(64)*-6).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14007 and 235451.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(1*sqrt(5)))\/(sqrt(9)*2*-6).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/20 and 29\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -248082?\nAnswer: -248082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-280)\/(-8))\/7)\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 65851, 263737, 593547, 1055281, 1648939, 2374521?\n\"Answer: 65962*m**2 - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2)*(11 - 12 - 16) + 5 - 4 - 2)*((-3*y + 5*y + 0*y)*(2*y**2 + 2*y**2 + 4*y**2) - 5*y**3 + 4*y**3 + 3*y**3).\nAnswer: 594*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2019.227 minus -15.9?\nAnswer: -2003.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-27)*-1*(2 - 3). Sort -1\/3, 5, 1\/2, y.\nAnswer: -1\/3, y, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 11*c**4\/24 - 25*c**3\/6 + 15*c**2. Let n be i(9). Let m = n - 69. What is the smallest value in 4, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 equal to 448\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 + 9*f**2 + 174*f**2.\nAnswer: 171*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 107.\nAnswer: 5\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18833 (base 10) to base 4.\nAnswer: -10212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 + 140*z**3 - z**4 + 2*z**2 - 13 - 140*z**3 in the form u*z**4 + g*z**3 + v + n*z + w*z**2 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 14. Let k = j + 14. Let f(r) = 4*r + 2. List the prime factors of f(k).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38, 80, 150, 248, 374, 528, 710?\n\"Answer: 14*w**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.195 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147078131?\nAnswer: 137, 1073563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 69926, 139914, 209902?\n\"Answer: 69988*c - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 16*t**2 + 6*t - 19. Is g(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 42, -96, -374, -840, -1542?\nAnswer: -2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 13 = 5*x + 2*u, 0 = -2*u + 2. Let d(o) = -x - o + 2*o + 6. Give d(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**7\/630 - 19*c**4\/12 + 13*c. Let x(g) be the third derivative of u(g). Let s(h) = 13*h**2. What is x(s(p))?\nAnswer: 676*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 442 + -404. Let v(t) = t**2 - 23*t + 9. What is the tens digit of v(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfxddxeemxexmddfmxms. What is prob of sequence de?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 9:48 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, x: 4, t: 3}. What is prob of sequence xb?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 258, 421, 606, 819?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 10*h + 61. Determine b(8).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 357*h**2 - 5*h + 7. Let j be i(3). Is 9\/(-6) - j\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3324\/(-20) - 2\/(-10). What is m rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819559571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4378 and 101888.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -167402.\nAnswer: -9\/167402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 6*v - 1. Suppose 3*c = 3*j + 24, c - 8 = 2*j + 5. Let h be q(j). Solve h*u = 2*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = -167*q + 115 - 1271 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (1 - -4)) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 4. Let a be 363*((-2)\/6)\/(1\/o). What is the second derivative of -252*u**3 - 14*u + 0*u + a*u**3 wrt u?\nAnswer: -60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12649738 and 50?\nAnswer: 316243450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010717 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1741 = -68*i + 517 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 724, -3, 2.\nAnswer: -5, -3, 0, 2, 724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12332 divided by -4?\nAnswer: -3083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*u = -6*r + 62, -2*r - 3*u + 37 = 0. What is the second derivative of -28*o**3 + 0*o**5 - 2*o**5 - r - 12*o + 14*o wrt o?\nAnswer: -40*o**3 - 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*m**2 + 20*m**2 + 19 - 9*m**2 wrt m?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31621183215 rounded to the nearest one hundred thousand?\nAnswer: 31621200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r + 6. Suppose o + 4 = -o, 0 = y - r*o - 6. Suppose 2*x - 54 = 3*d, y*x + d + 54 = 2*x. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kaaakkakaaaaaa. What is prob of picking 3 k?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 646, 1812, 2992, 4192, 5418, 6676?\nAnswer: 7972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 u when four letters picked without replacement from {u: 2, s: 3, c: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(15)\/sqrt(3))**2 + (sqrt(10)\/sqrt(2)*-3)**2 + 3 + sqrt(720) + 0.\nAnswer: 12*sqrt(5) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 233916 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: Solve 43*p - 22 = 21*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 2 + r - 2 as x*r + p and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11995539*b - 11745 = 11995404*b for b.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -u, -12 = -0*z + 4*z + 5*u. Let f(b) = -4*b - 122. Let k be f(-32). Suppose 0 = -k*t + z*t + 144. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*a - 6, -2*a - 3*u - 4 + 0 = 0. Let d be (2\/3)\/(a\/6). Let y be d\/(-3) - (-8)\/6. Solve -2*k = -2*c - k - 2, -y*c - 2 = -3*k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (((sqrt(168) + sqrt(168)*-2 - sqrt(168))*-4)\/sqrt(6))\/(-5*(sqrt(576) - -1*sqrt(576))))**2.\nAnswer: -4*sqrt(7)\/15 + 907\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d = -16*d - 44. What is the greatest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, 19, 43, 67, 91, 115?\n\"Answer: 24*u - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (52\/10)\/(9\/45). Let k = 26 - r. Suppose -4*z + 380 - 8 = k. What are the prime factors of z?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1887, -1885, -1883?\n\"Answer: 2*j - 1889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 1. Let c(l) = -7*l**3 + 19*l**2 + 10*l - 10. Let z(a) = -c(a) - 5*s(a). Let j be z(10). Solve -j*m + 20 = -0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 741?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39915 and 1191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-763)\/189 + 4). Sort 5, i, 2.\nAnswer: 2, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - (1 + -2))\/(-10 + 9). Let t(d) be the first derivative of 1 - 3\/2*d**4 - 1\/4*d - 9\/20*d**u - 11\/6*d**3 - d**2. Determine i, given that t(i) = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + 2*x + 0*x + (0 + 4 - 5)*(x - 2 + 2) + 210*x - 24*x + 298*x as y*x + l and give y.\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-10))\/2*5. Suppose 3*u - 4*j + 11 + 32 = 0, 3*u + 11 = -4*j. Let d(a) = a**3 + 8*a**2 - 9*a - 1. Let x be d(u). Which is bigger: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + 3 + -2 + -37512 + 37567?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*c + 16, m - c - 2 = -0*c. Suppose -2*d + m = -8. What is the remainder when 16 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -46 - (-583 + 551)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-20)*2\/24*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s - 18*s + 3*s)*(-6*s + 9*s**2 + 6*s)*(s - s - 8*s).\nAnswer: 1512*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3*393 + -2 + -1. What is the highest common factor of 144 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 3*q - q)*(8*q**3 + 5*q**3 - 6*q**3 + (4*q**3 - 6*q**3 + 3*q**3)*(-3 + 2 + 0)).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 + 4*y - 12. Let r(n) = -n - 1. Let k(q) = -f(q) - 4*r(q). Let s(x) be the first derivative of k(x). Let m(c) = 6*c. Give m(s(j)).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.0867\nAnswer: -0.2601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1222 + 742 - 1879)*(2*n**4 + n**2 - n**2).\nAnswer: -4718*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 471*k + 3226. What is j(-7)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5 = a. Let u(b) = -b**2 - 11*b - 3. Calculate u(a).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10040343311 (base 5) to base 12.\nAnswer: 3467474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 285*o + 0*o**2 + 92 - o**2 - 1001*o**3 - 285*o.\nAnswer: -1001*o**3 + o**2 + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -30. Let c be -9 + 6 + y*35. Suppose -3*s - b + 15 = 2, 11 = 2*s + 3*b. Solve -5*j + 4*n - 8 = c, -s*j - 5*n + 9 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 27*r + 62. Let a = 1229 + -1254. What is j(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140505259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*c = -49, 11 = -5*g + 3*c + 118. What is the greatest common factor of g and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -8 - 61. Suppose -41*v + 38*v + f = 0. What is the lowest common multiple of v and 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 31.09068ml?\nAnswer: 0.03109068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k**3 + 18*k + 29. Calculate g(-3).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3583623 is divided by 9072?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 5*f**2 - 2*f + 7. Let k be g(5). Let j be 1 + (-10)\/(-6) - 2. Let i = -1 + j. Which is the smallest value? (a) i (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:28 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1409*k*z**5 - 6*k - 17*u**2*z**5 + 4879*u**2*z - u*z wrt z.\nAnswer: 28180*k*z**3 - 340*u**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 5*t - 1. Let o be w(4). Let h be (-39)\/(-2) + (-3)\/(-2). Factor -21 + h - o*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18447525 by 3.\nAnswer: 6149175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 9. Calculate the smallest common multiple of y(-24) and 4.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/2)\/((-30)\/8). Suppose 5*k = -v - 4, -v + 8 = -3*v. Let s be -2 - (-2 - k - 2). Put b, s, 5 in increasing order.\nAnswer: b, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eve when three letters picked without replacement from {e: 2, b: 2, m: 1, v: 1, y: 4}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/22 and -71\/11418.\nAnswer: 11418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 69*v + 4688. What is p(-61)?\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 3, -781.39, 5 in decreasing order.\nAnswer: 5, 3, -2\/7, -781.39","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + -15.6. Let y(a) = -a**3 + 17*a**2 - 17*a + 19. Let b be y(16). Let d be 4 + b*188\/(-144). What is the second biggest value in -4, 4, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -90, -162, -268, -420, -630?\nAnswer: -910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/4)\/(w\/(w*w**(-15)\/w)) assuming w is positive.\nAnswer: w**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 154 and 0.042.\nAnswer: 6.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 - 2 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (3 - (10 + -3 - 8)) + 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 3*f**2 - 2*f - 1. Suppose -k = -4*k. Suppose -3*j + 12 = 0, -2*m = -k*j + 3*j - 16. Let u be g(m). Is u at most as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*p - 4 - 48*p**2 - 45*p**2 - 7*p**2 wrt p.\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f**3 + 40*f**2 + 72*f + 12. Let i(u) = -5*u**3 - 39*u**2 - 70*u - 9. Let n(b) = 4*i(b) + 3*o(b). Factor n(m).\nAnswer: -2*m*(m + 2)*(m + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2542.\nAnswer: 2, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 42*x**2 - 44*x + 125. Let r be k(41). Let p = 191 - 188. Solve r*w + n + 10 = p*n, 14 = -w + 4*n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*o + 8. Let a be (-207)\/(-252) - 1\/o. Factor a - 2\/7*q**2 - 2\/7*q.\nAnswer: -2*(q - 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3))**(-29\/5)*b**2\/(b*(((b*b\/(b\/(b*b**5)))\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(-74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjjhhfhrjssfhhffrrhf. Give prob of sequence rf.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4539318 - -1?\nAnswer: -4539317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31118660.\nAnswer: 2, 5, 311, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5300 divided by 35?\nAnswer: 1060\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25388474?\nAnswer: 2, 389, 32633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 35201.99 to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 6*c - 12. Let a = 50 - 45. Let i be u(a). Let x = i + 94. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/2, 2\/11, 2, -0.1 in descending order.\nAnswer: 2, 2\/11, -0.1, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*i + 227 = -66*i + 1467 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + -6*(-1 + sqrt(11) - sqrt(11)) + 2*(sqrt(275) - (sqrt(275) + -1 + sqrt(275)))**2.\nAnswer: -20*sqrt(11) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(63) - (sqrt(112) + (0 + sqrt(112) - sqrt(112)) + sqrt(112)))*2)**2*-2.\nAnswer: -1472 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299) + sqrt(2299) + 1 - sqrt(2299)) + 3 + 1)*-4 + -4)**2.\nAnswer: 2112*sqrt(19) + 37360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*d + 36228, 16*d = 20*d - 8. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.049 - 7.049. Let j = i + 11. Let l = -7\/68 - -6\/17. Which is the third biggest value? (a) j (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1250944 is divided by 7131.\nAnswer: 3019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqqyhdjqdqyd. What is prob of sequence yd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4376 = 7*v - 16192. Let q = v - 576. List the prime factors of q.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 2*f - 2260. Let v(m) = 5*m. What is q(v(n))?\nAnswer: 25*n**2 - 10*n - 2260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/(-4*sqrt(20)))\/(sqrt(275) + -1*sqrt(275) - 6*sqrt(33)\/sqrt(3)))**2.\nAnswer: 1\/768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (98 + 2 + -2)*43\/2. Suppose -v = -18*k + 2771. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5039698.93299934 - 5039755.933. Let u = 80 + -23. Let f = u + v. What is f rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340 = -56*u + 90*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -128, -643, -2030, -4721, -9148, -15743, -24938?\n\"Answer: -72*s**3 - 4*s**2 + s - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmgsas. What is prob of sequence gs?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 x when four letters picked without replacement from jwxvwwj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-1575)*3)\/((-2)\/(-5)*1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, -183, -1\/3?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*w - 71981 = 14*w - 256*w - 198*w for w.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**4\/12 + 2*z. Let t(f) = 2*f - 3. Let w(s) = 3*s - 5. Let k(o) = -10*t(o) + 6*w(o). Calculate m(k(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 11:35 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 51 * -0.0313\nAnswer: -1.5963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - 73. Let a = g + 129.57. Let x = a + -0.57000027. Round x to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527327?\nAnswer: 527327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -54*h**2 + 14*h + 877. Let i(k) = -34*k**2 + 9*k + 585. Determine -5*c(r) + 8*i(r).\nAnswer: -2*r**2 + 2*r + 295","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19719, 39236, 58809, 78444, 98147, 117924, 137781?\n\"Answer: u**3 + 22*u**2 + 19444*u + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3)\/((d\/d**(-1))\/d)*d**(-1\/5)*d**(-2\/9)\/d*d*d\/(((d*d**(-2\/5)\/d*d*d)\/d)\/d*d)*d**(-3\/4)*d*(d\/d**(2\/3))\/d**0 assuming d is positive.\nAnswer: d**(-619\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 501.0344 - 0.0344. Let r = 501.00277 - q. What is r rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 6:13 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + 15*(-47)\/(-2))*18. Suppose -74*c + 6449 = -71*c + 2*h, 3*c + 3*h = j. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(144\/(-972))*8\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.5 (b) -47 (c) 0 (d) -8.41 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (18 - 11) + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69982, 139958, 209932, 279904, 349874, 419842?\nAnswer: 489808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5586*h**3 + 13*h**2 + 9*h - 26342391?\nAnswer: 16758*h**2 + 26*h + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpiqbqpiqqqbi. Give prob of picking 1 b and 1 q.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 750?\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -6*t + 48. Suppose t*m - 3*k - 163 = 137, 344 = 5*m + 4*k. What is the smallest common multiple of m and 64?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {i: 7, j: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**6*c**0\/c)\/(c**(-2)\/(((c*c**(1\/5))\/c)\/c)))**(-11) assuming c is positive.\nAnswer: c**(264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/3)\/(11\/(-11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/5)\/k**(-3\/4)*k*((k\/(((k\/(k*k*(k*k**(3\/4)*k)\/k))\/k)\/k))\/k)\/k*k*k*k**0)**(2\/21) assuming k is positive.\nAnswer: k**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 20, -4*h + 31 = 2*q - 31. Suppose -1 + q = j. Calculate the smallest common multiple of 18 and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 72487890, 72487893, 72487898, 72487905, 72487914, 72487925, 72487938?\n\"Answer: p**2 + 72487889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + k - 8 + 1 - 5.\nAnswer: k - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -14 - 6. Suppose 7*f = i*f + 6. Let h(q) = -43 + 8*q + 2*q**2 - f*q + 46. Calculate h(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4f07 (base 16) to base 12.\nAnswer: b85b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 7. Let j be o(-7). Suppose -3 = q - 4*q. Which is smaller: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -210819*b**5 - b**3*m - 3*b**2*m**3 + 65*b*m**3 - b*m**2 - 330*m**3 + 2*m - 12 wrt b.\nAnswer: -4216380*b**3 - 6*b*m - 6*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80832 and 1536?\nAnswer: 646656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 119\/(-14))\/(0 + 1)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7145, -14373, -21691, -29099, -36597?\nAnswer: -44185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmm when three letters picked without replacement from {k: 7, m: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-270)\/(-4)*684\/285. What is the derivative of -150*m**2 - 109 - 5*m**3 + c*m**2 + 168 wrt m?\nAnswer: -15*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6496*z + 6499*z = -10*f - 62, 2*z = 4*f + 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019582.\nAnswer: 2, 29, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*o - 1 + 2, -3*o = 3*m - 3. Let r = -0.33 + 0.03. Which is the closest to m? (a) -0.2 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, -0.5, 0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2212 - 1?\nAnswer: -2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -2) + 35\/(-20). Let v = -6 - -4. Let t be 4\/16 + 2\/56. What is the closest to 2\/7 in t, i, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*3*sqrt(190) + sqrt(190)*-1*2 + sqrt(190))\/(sqrt(80)\/(sqrt(40)\/sqrt(5))*-6))**2 + 0.\nAnswer: 475\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22184569?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355 != 90787\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 14*z - 14. Is a(-5) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -u, -4*i - 89829 = -2*u - 394999. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - v**2 + 0*v**2)*(-4*v + v + 4*v) - 2*v**3 + 0*v**2 + 0*v**2 + (0*v + 0*v - v)*(1 - 1 + 2*v**2) - 7*v**3 - 15*v**3 - v**3.\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.3 (c) 21 (d) -13 (e) 0 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3*x - 8, -2*l = 2*x - 10 + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -133, -161, -187, -211, -233, -253?\n\"Answer: w**2 - 31*w - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1002 + 8*t + 171 - 4*t - 1175.\nAnswer: 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (61 + -18 - (-1 - -1)) + -227 + 229?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 1389*o**4 - 1 - 1386*o**4 + 2*o**3 - o to the form s + c*o**2 + h*o + x*o**4 + y*o**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11313771?\nAnswer: 3, 7, 538751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 362 + -477.2. What is x rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*b - 166 - 1513 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 6*c**2 - 3*c - 10. Let i be p(-6). Calculate the highest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 2682813908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 + 91 = 10*x. What is the remainder when 67 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t**(3\/4)*t)\/t)\/(t*(t\/(t**(-1\/3)\/t))\/t*t)*t**(-1\/4)*t**0*((t**1)**(11\/4))**47 assuming t is positive.\nAnswer: t**(1541\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m - 36. Let n be l(9). Let y = -142 + 214. Calculate the highest common factor of n and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80326173 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4960*a + 1669*a + 1630*a + 1668*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69656100 divided by 5.\nAnswer: 13931220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 6. Let z = -4654 + 4659. What is r(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, f: 2, m: 9}. Give prob of picking 2 a and 2 m.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 + 126. What is the remainder when y is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9866368mg?\nAnswer: 0.0000000009866368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42\/(-48) - (-46698366)\/528?\nAnswer: 3, 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-88 - -103) - (-6 + -1).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 13 = -17. Let u be (s\/10)\/(1\/5). Suppose 0 = u*q - q - 20. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2437, -4828, -7159, -9430?\n\"Answer: 30*x**2 - 2481*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181330, 1, 4.\nAnswer: 1, 4, 181330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19820786*c**3*f**2 - 515*c**3 - 1469*c**2 + 2 wrt f?\nAnswer: 39641572*c**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -711 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - z = -u + 2525, 2525 = 5*z - 5*u. Suppose -3*d + 2011 = -3*v + z, 4*d - 2*v - 2008 = 0. List the prime factors of d.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -6. Let s = -5 - k. What is the closest to s in 1\/6, 5\/3, 1\/4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*p - 3*p. Factor -6 - 7*a**p - 5*a**3 - 3 + 9*a**2 + 7 + 5*a.\nAnswer: -(a - 1)*(a + 1)**2*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 2. Let s be j(-1). List the prime factors of (s - -3)*15\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 12}. Give prob of sequence ak.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*m**5 + 4*m**4 + 21*m - 3 wrt m.\nAnswer: 380*m**3 + 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.217243 rounded to 2 dps?\nAnswer: -25.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 12. Suppose 0 = 2*v + 3*v + 10. Let z(f) = -f**2 + 8*f + 5. Let g be z(8). What is the second biggest value in v, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 37*c**2 + 2. Let j be (2\/(-3)*6)\/((-6)\/(-3)). What is the hundreds digit of a(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t = 0. Let a be (t + 1)\/((-1)\/(-2)). Suppose -a*k + 8 = -2*d, -k - d = 4*k - 26. Solve 6 + 4 = -k*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/196*14\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3 + 2)*5)\/((-11)\/11). Let b(r) = 2*r - 1 + 10 - g - r. Calculate b(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 4 - 12\/(-9)*(22 - 1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 253201 (base 10) to base 11\nAnswer: 163263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8390189338 minus -0.111?\nAnswer: -8390189337.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768 is divided by 60.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.23 and -13.\nAnswer: 2.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 14*a**2 + 22*a + 15. Let y be c(13). Let j = -131 + y. Let o be (-2 - (-2)\/6)\/(-1). Is j less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -35989.\nAnswer: -2\/35989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51 - 32*d**3 + d - 50 - 17*d**3 to g*d**3 + l + k*d**2 + m*d and give g.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*m = 2, 4*p - 13 = p + m. Calculate the remainder when p is divided by (-4 + 10\/4)\/((-2)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3225.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/(-4) + 2\/4. Let x be 3\/3 - -1 - 16. Let j be -1*(12\/x - -1). Which is the third biggest value? (a) j (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w + 8*w + 9*w + 30 - 29.\nAnswer: 10*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 - 92. Suppose -322 = 8*x - h*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31.40073ng?\nAnswer: 0.00000000003140073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 451*-5.\nAnswer: -2255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 29.94. Is f at least -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*(-99)\/(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b**2 + 16653*b + 3863160 = 0. What is b?\nAnswer: -2520, -511\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 699 and 61047.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 18 = -3*n. Let b(f) = 10*f - 11. Let w(k) = -148304 - 148296 + 296605 - 5*k. Determine n*b(m) + 13*w(m).\nAnswer: -5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**2 + 3*u**2 + 3*u**2. Suppose 0 = 2*c - 4. Let m(w) = c*w - w - 4*w. What is v(m(o))?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w - 5. Let d be t(-4). Let z(p) = -2*p + d*p + 1 + 4*p. Calculate the remainder when z(3) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 79. Suppose -2*c + c = 3*o - 7, 3*c = 5*o - j. Suppose 6*d - 842 = o*d - 3*m, 5*d - 2079 = -m. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 6*u**2 + 14*u - 6. Suppose -44*c = -39*c + 40. Let l be p(c). Solve 4*h = 5*y + 6, 2*y - l + 2 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-32)\/(-12))\/((-1)\/(-3)) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + -2 + -5 - (1 + sqrt(475))*4)**2.\nAnswer: 330*sqrt(19) + 4396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 - 2*m**3 + 2*m**3)*(11 - 3 + 3).\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -19*w**5\/20 + w**4\/12 - w**3\/3 + w**2\/2 + 8*w + 5. Calculate t(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + h**2 + h + 1. Let m(x) = 9*x**3 - 10*x**2 - 2*x - 2. What is 2*a(t) + m(t)?\nAnswer: 7*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + 9*c - c - 46*c + 12*c.\nAnswer: -22*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 3*o - 3. Let c be b(7). Solve -2*n + 10 = -p - 3*p, 2*p + 5*n - c = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 2*a**2 - 3*a + 2. Let f be i(2). Suppose -4*y - 8 - 4 = 0, 3*n = -y - 15. Do n and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4 - 6 + 3 + 4 + 0 + 0 + 2 + 0 - 3 + 5 + (-2 + 5 - 2)*(1 - 4 + 4) + 3 + 0 - 2)*(334181*g**4 + 1803*g**5 - 334181*g**4).\nAnswer: 14424*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27886039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 7*z**2 - z + 6. Let h be u(-5). Let m = h - 154. Let l = m + 133\/2. Which is the biggest value? (a) l (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -105999 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3249604 and 0.4?\nAnswer: 3249604.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 - 1346224*q\/3 + 897480.\nAnswer: 2*(q - 673110)*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 5*q**2 + 596*q + 6834. Give z(-11).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3*12\/26. Let z = 9.7 - -1.3. Let r = -7 + z. Which is the third biggest value? (a) i (b) -3\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 12*i + 13. Let c be m(11). Suppose k = 1 + c. Solve 0 = -5*w + 20, -k*u + 0*u - w = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prrpprrpprpp. Give prob of sequence pprp.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -7*m + 6. Suppose p - 2*a + m = 0, p + 7 = 4*a - 9. Suppose p*y - 278 = 2*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52, -32, -4, 32, 76, 128?\n\"Answer: 4*v**2 + 8*v - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**3 - 8*w**2 + 4 wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*q + 12, 8 = v + 3*v. Let c(s) = 6*s**3 + 4*s**2 + 5*s. Let o(x) = x**3 + x**2 + x. Give q*c(a) - 10*o(a).\nAnswer: 2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgg when three letters picked without replacement from {g: 7, c: 4}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4700 and 3400.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -989 + 2026. What are the prime factors of y?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-172)\/(-2494)*(-5565)\/12.\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 335458913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/138 - (-4 + (-33)\/(-9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -122 + (-18 - -4) + 4 + (-139 - -136).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhhdhdxhx. Give prob of picking 3 x and 1 h.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b (base 12) to base 2.\nAnswer: -1011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.4 (b) 1360 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 3433456*x - 1473577512992.\nAnswer: -2*(x - 858364)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 268*b**2 - 184*b - 5280.\nAnswer: -4*(b - 66)*(b - 5)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 1\/18*w**4 - 2\/9*w**2 - 2\/15*w**5 + 2\/9*w**3 + 0*w + 4 + 1\/27*w**6. Determine o, given that m(o) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) 5 (c) -7\/4 (d) 1\/733 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125 - 125.2. Let m = 841 - 3359\/4. What is the closest to g in -0.3, -5, m, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 - 5478*m - 77285. What is h(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 263390\/2689 greater than 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**2\/3 - 2724*f - 13676776\/3 = 0.\nAnswer: -1091, 3134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3965, -7921, -11881, -15845?\nAnswer: -19813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.927889 nanometers in micrometers?\nAnswer: 0.005927889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6932 - 6927. Let i = 393\/8 - 49. What is the nearest to 1 in -1, i, x, -43?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 74*i**2 - 57*i - 760. What are the prime factors of c(-15)?\nAnswer: 5, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b\/(b**(-10)\/b))))\/(b**(-3)*b))**(2\/3) assuming b is positive.\nAnswer: b**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 13*u**4 + 58*u**3\/3 - 31. Find the third derivative of m(f) wrt f.\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4\/(d**(-3)\/d*d))\/(d**(-1))**(-8\/3) assuming d is positive.\nAnswer: d**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532154 divided by 58929?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5126*y - 30094. Determine c(6).\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n**2 - 3*n**2 - 2*n**2 - n**2.\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276 = 43*t - 412 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 2622 (c) -2\/5 (d) 0.1 (e) -252\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l. Let q(f) be the first derivative of 17*f**2 - 19. Determine y(q(v)).\nAnswer: -68*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 1024 = -0*p - 1042 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1328 - 433 - 428 - 468 - 63*w.\nAnswer: -63*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.78 + -8.806. Which is the nearest to 2? (a) 1\/7 (b) -2\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*m**4 - 134460*m**3 - 90343658*m**2 + 72339480*m - 14472200.\nAnswer: -2*(m + 1345)**2*(5*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 3 + 3 + (0*n + 4*n - 5*n)*(-4 + 1 + 6) - 5 + 5 - 2*n + 2.\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 17 + 5 + ((2 - 2)\/3 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 15) to base 13\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -5. Suppose -i + n - 3 = 0. Solve 3*q + 4*r + i = 2*r, -3*q - r = 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 3, 10, -1362532 in descending order.\nAnswer: 10, 3, -2\/21, -1362532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 152\/(-32) + (-1 - 0)\/4. Let v(b) = 8*b**2 - 5*b - 5. Let d be v(l). Is 17 a factor of (d\/165)\/(1\/306*2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 5 = 2*o - 19, -5*o - 5*m = -60 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2 + 39584*l + 195861632 = 0.\nAnswer: -9896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13500)\/(-15))\/(-20)*(-10)\/(-18).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 + 109 = n. Suppose 3*l + n*z - 3256 = -937, -5*l = -z - 3859. What are the prime factors of l?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p. Let m = 20 + -21. Let y be i(m). Let b = 4 + y. Solve -v - v = b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 4. Let o(n) = n**2 + n - 1. Suppose 6*u - s = 4*u - 7, 2*s - 5 = u. Let l be o(u). Are l and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/7)\/x*x*(x\/(x*x**(-2\/7))*x)\/x*x)\/(x**(-4\/3)*x*x**6))**(-33) assuming x is positive.\nAnswer: x**(979\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*k - 4*n - 36, -3*n + 8 = -k. Suppose -u + 21*u + 340 = 0. Is u at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11338882556.00000202 + 11338882450. Let t = x + 106. What is t rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 190*t + 1191. Determine u(56).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 5128010.\nAnswer: 2\/2564005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.30652069*3.\nAnswer: -0.91956207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 210191, 420509, 630967, 841571, 1052327, 1263241, 1474319, 1685567?\n\"Answer: y**3 + 64*y**2 + 210119*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/2015 and -23\/624?\nAnswer: 96720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 times -941?\nAnswer: -281359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 15*k - 9. Let x be a(-11). Let o = x - 33. Differentiate 18 - c**2 + 11*c**3 - 4 + c**o with respect to c.\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126304 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*y - 52*y. Solve 3*m = -n - y*m + 6, -4*n + 2 = m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -57*t. Let u(x) = -16*x. Let o(f) = 5*r(f) - 18*u(f). Let q(n) = -n - 1. Calculate -o(w) - 2*q(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29 - 11 + 11 - 31*q**2 wrt q.\nAnswer: -62*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -462 + 460.54. Let p = 1.56 + r. Which is bigger: p or 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11443954\/155 greater than -73833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -21130, 33\/2, -17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + -61 + 62 + (2 - 15)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + (-52)\/8)*1. Let r = -0.77 - 4.23. Let m = 173\/679 + 3\/97. Which is the closest to m? (a) r (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 586 and 29823298?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09745 + 565?\nAnswer: 564.90255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8889889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1206129 - 1?\nAnswer: 1206128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -233 + 235. Suppose -3*u - 84 = -3*m, 2*m = -2*u + 6*u + 60. What is the remainder when m is divided by -1*y\/2*(26 + -33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 9*b - 15. Let r be x(-8). Let h(p) = -11*p - 7. Let a be h(r). Let t be (0 - -1) + (35 - 1). Calculate the highest common factor of t and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 24*d + 9\/4*d**4 - 2*d**3 - 40 - 18*d**2. Let q(z) = 0. Calculate z.\nAnswer: -2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + 1102211201?\nAnswer: 1102211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198 + -121. List the prime factors of z.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 2, o: 5, w: 3}. Give prob of picking 1 o and 1 w.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9994 and 54967?\nAnswer: 109934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 94 or 741\/8?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 - -89. Suppose -a*l = -31*l + 4. Suppose 0 = 4*n + 4*b + 4, -3*n - 1 = b - 0*b. Solve 2*p - 3*y + l = 2*y, n = -p - y - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(245) - -2*sqrt(245))*5 - (0 + (sqrt(245) - (4 + sqrt(245))) - sqrt(245))**2).\nAnswer: -261 + 49*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5347, -5713, -6079, -6445, -6811?\nAnswer: -7177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -28*k + 212. Let t(z) = -z + 58. Let x(n) = -c(n) + 4*t(n). Let f(p) = -p - 1. Suppose 117 = 5*u + 17. Determine u*f(y) + x(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4, -2*l = 4*z - 458626. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**6\/60 - i**5\/6 + 751*i**4\/6 + 3677*i**2. Find the second derivative of l(u) wrt u.\nAnswer: -12*u - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(3\/(-2)) - 35\/(10150\/(-493))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 214*i**4*o - 126*i**4 + 91*i**2*o + 8*i**2 - 3*i - o wrt i?\nAnswer: 5136*i*o - 3024*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -s - 0*s. Let p = s - 4. Let k(g) = g**2 + 2*g - 3*g + g**3 + 2*g + 8. What is k(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359*t = -9*t + 19614032. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-5040)*-216)\/(3\/(-14)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 57 = q. Solve -q = -2*g - g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4.7, 2.1, 3, 1.26?\nAnswer: 1.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5308 and 2.\nAnswer: -10616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2. Let b(t) be the second derivative of -29*t**4\/12 - 10*t + 3. Give r(b(i)).\nAnswer: -1682*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 383 - 351. Suppose -4*z = -29*h + 32*h - b, -3*h + 27 = 3*z. Solve -x - 2*k = 3, x + 2*x - z*k = 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4168 divided by 8942\nAnswer: -2084\/4471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4*-80\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**5\/5 - 11*f**4\/12 - 2*f**3\/3 - 15*f**2\/2 - 5*f. Is p(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212220101112 (base 3) to base 12\nAnswer: 1a8335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -32. Solve w = -j*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5470 + -4851.1. What is g rounded to the nearest ten?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-4))\/((-1)\/2). Let o be (-1)\/t + (-42)\/(-10). Let n(s) = 5*s**2 + s - 5. Is n(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1924397+0.142\nAnswer: -1924396.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1675372?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*(232\/464)\/(5\/92).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -581048757*s**3 + 319442084*s**2 wrt s?\nAnswer: -3486292542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v - 5*y = -5, 17 = 6*v - 5*y + 22 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s + 6. Let p be j(-4). Let g = p - -39. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/10*(-32)\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = o - 6*o - 428, 4*o = a - 217. Let w = a - 831\/4. What is the closest to 0 in 12\/11, w, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 640 and 28709200.\nAnswer: 229673600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6 - (-32)\/12. Let y be -1*(-12)\/(3\/1). What is the second derivative of -h**5 + y*h**f - 4*h**3 - 4*h wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*v + 24. What is the highest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2490425 - 304\/(-16)) + 6. Round x to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 60*a + 595. Let y be r(-4). What is the greatest common factor of y and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76475626349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - p = -3*p + 29, -31 = -5*v + p. Suppose v*s = 5*s + 28. Suppose -o - m + s = -0*o, 0 = m - 1. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -18. Suppose -2*s + 58 = k*z, 5*z - 171 = 2*s - 40. Solve 23 = 5*c + 2*l, c - 2*l = -4*c + z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(2 + (-2 - 1)). Let a be (-10899)\/(-137250) - 2\/10. Let k = -12\/125 - a. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 747?\nAnswer: 746.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -154 and -0.6153427.\nAnswer: -154.6153427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 13*f**3 - 1. Suppose 3*v - 1 = 2. Let h be q(v). Solve 0 = 3*i - h - 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92182\/15 - -6138. Let r = j + 39\/5. Let m = 158 - 159. Which is greater: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11800200 divided by -426?\nAnswer: -27700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.001 - 0.101. What is v rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2563.7864594 and 50.62.\nAnswer: -2513.1664594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 2*g**2 + 11*g + 9. Suppose 160 = -33*r + 28. What is u(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 141?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 6*z + 13. Is s(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**2*y**4 + i**2*y**2 - 108496*i**2*y - 31137*y**3 + 2 wrt y?\nAnswer: 24*i**2*y - 186822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 + 142 - 143 + 3*s**2 - 3*s as r*s + k*s**2 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12033 (base 8) in base 15?\nAnswer: -17d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*j - 284 + 4083 - 449 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191586.\nAnswer: 2, 11, 54163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2667 and 76200.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25330 and 35122?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z = s + 2, 3*s + 4 = -4*z. Suppose -3*v + i = -290, 687 = 5*v - 5*i + 207. Suppose 0*t = -5*l + 2*t + v, 0 = -2*t - z. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 2 + 22. Let q(n) be the second derivative of 0*n**3 - 1\/6*n**4 + 0 - n**2 + g*n. Differentiate q(o) wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -6*b - 35 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -135*f + 74. Let o be m(-2). Let p = 2505 - o. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**3\/2 - 3540*x**2 + 142743*x\/2 - 67830 = 0.\nAnswer: -2380, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 4*x**2 + 10*x + 37. What is i(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 6*j - 14. Give h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*g**3*i + 7*g**3*y + 27933*g**2*i*y + 1185*g**2*y - 11*g*y - 2*y wrt i?\nAnswer: 22*g**3 + 27933*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a week in hours?\nAnswer: 476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13.864 times 94\nAnswer: -1303.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478a9 (base 11) in base 8?\nAnswer: 701203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/5 - 11708*p**3\/5 + 16743938*p**2\/5 + 228727488*p + 3816552960.\nAnswer: 2*(p - 2960)**2*(p + 33)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -16*a**3 + 2*a**2 + a - 2. List the prime factors of w(-2).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s - 4. Let q(y) = -3*y**2 + y - 2. Let p(c) = -22*c**2 + 5*c - 10. Let l(f) = -p(f) + 5*q(f). Calculate j(l(i)).\nAnswer: 28*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**5\/5 + 12*l**4\/5 + 3*l**3 - 12*l**2 - 12*l\/5 + 48\/5 = 0?\nAnswer: -2, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-six fifths of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43999, -1110, 2 in descending order.\nAnswer: 43999, 2, -1110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**7\/840 - 7*r**4\/4 + 2*r - 35. Let g(j) be the third derivative of o(j). Let y(b) = -b - 4*b + 3*b. What is g(y(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -16 + 11*z**2 + 14*z**2 + 18. What is the remainder when k(-2) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1403214143 + 11?\nAnswer: 1403214204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -16*v - 168. Does 8 divide n(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10381206 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 303393 and -0.1?\nAnswer: -30339.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(77)*1)\/(sqrt(63)\/(sqrt(9)*-1)) + -1 + -3.\nAnswer: -4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-15)*2\/(-4)*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.5453 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*k - 55 = 0, -3*b - 284*k = -280*k - 40. Let l(a) = -3*a + 37. What is l(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 17 (b) -2\/15 (c) -3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44620869 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1053\/1404)\/(9*(-6)\/6552)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1561*s = 60662 - 12271 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74228?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/30)\/((-34)\/(-459)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2491 - 4*b**2 + 2491 + b in the form o + r*b**2 + l*b and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - ((-7 - -2) + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Let r(h) = 3*h + q*h - 4*h - 8. Let x be r(7). Which is greater: x or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 + 2*r + 3. Give v(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288*q + 3\/2*q**3 + 36*q**2 + 768 = 0. Calculate q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7227395609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t. Let v be p(-2). Let c = -4 + v. Suppose c*a = 2*a + 32. Calculate the smallest common multiple of a and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46089 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/6 - 1633*d**2\/2 - 39486*d - 445230 = 0. Calculate d.\nAnswer: -30, -18, 4947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(228)\/(sqrt(12) + (sqrt(12) - -3*sqrt(12))) + -4.\nAnswer: -5 + sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -38898457?\nAnswer: -3\/38898457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2135*-0.812.\nAnswer: -1733.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12644761.\nAnswer: 12644761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 16. Let h be 1164\/(-6) - 24\/6. Let u = h + 202. Solve u*y + 4 = -g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 614139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 109680015 to the power of 1\/2, to the nearest integer?\nAnswer: 10473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.913379 to the nearest integer.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r**3 + 391648*r**2 - 235004*r - 156664 = 0. What is r?\nAnswer: -19583, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 80459636 a multiple of 2666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5697700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 31\/225 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -3.13823?\nAnswer: 5.13823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u + 240887 = 73*u - 230813. Is 8900 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 20*w - 56. Let p be x(3). Suppose -5*u - 59 = -3*g + 118, -142 = p*u - 2*g. Which is smaller: -37 or u?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6816353 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4.16 (b) -1\/8 (c) -5 (d) 2\/3 (e) 3\/28 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 144*j*m**3*u + 54*j*u - 2*m**3*u + 26*m**3 - m**2 + 10*m*u wrt j.\nAnswer: 144*m**3*u + 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 35, 48\/17, -2\/7, 0.2, 1\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 579 = x - j, -284 = -x - 5*j. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11642633*m - b - 35 = 11642632*m, -11*m + 430 = -2*b for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1\/4 (c) -7\/4 (d) -48 (e) -7 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 1 (c) 113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 448 in 3, 5, 5.635?\nAnswer: 5.635","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 79025310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1 + l**2)*(l**3 + l**2 - l**2).\nAnswer: l**5 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -5*f**3\/9 - 5*f**2 + 35*f\/3 + 4. Determine k, given that i(k) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5, 48, -145, 35 in increasing order.\nAnswer: -145, -14, -5, 35, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 792 and 96?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (1 - -2) - 1. Let g(h) = h - 3. Let i be g(t). Let r = -7 - i. Let u(o) = -o**3 + o**2 - o + 7. Calculate u(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g + 9. Let x(q) = 1. Let s(u) = -m(u) + 5*x(u). Give s(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 9 = -39 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78549 (base 11) to base 6.\nAnswer: 2234453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501601342?\nAnswer: 2, 11, 23, 29, 34183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165384 and 792.\nAnswer: 1819224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 708 = 15*q + 108. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 33*s + 2*p - 444 = 0, -446*s = -224*s - 227*s - 2*p - 51 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**2 + 63. Let q(s) = -1697*s**2. Give j(q(z)).\nAnswer: -14399045*z**4 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 81, 113, 95, 33, -67?\n\"Answer: j**3 - 31*j**2 + 118*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7493555 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156 - -639. Suppose -361 - s = -4*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2464, -5, -2, -1 in increasing order.\nAnswer: -5, -2, -1, 2464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2. Let w(y) = -13*y - 9. Let c(i) = 6*i + 4. Let d(u) = -9*c(u) - 4*w(u). Calculate a(d(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*x + 32970 = -146*x. What are the prime factors of x?\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*s, 5*s = -v - 0*v - 16. What is the greatest common divisor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.5. Let y = 689 - 295. Let h = -397 + y. Which is the biggest value? (a) h (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 9 = -3*p, -6424*c - 2*p + 6 = -6419*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3976*f - 783276. Let s be i(197). Let o = -0.1 + 0.16. Let d = o + 1.94. Which is the closest to -2? (a) 4\/3 (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 times -76.1?\nAnswer: -16.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + v = 2*v - 388, -2*x = -3*v - 255. Let y = x + -50. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 43715118*d + 159250961812827.\nAnswer: 3*(d + 7285853)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-110)\/14 + 3\/(-21). Let q be (1221\/(-54))\/11*-122. Let k = 251 - q. Which is the nearest to r? (a) k (b) -4 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2742 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**3 - 132*t**2 + 8*t - 39. Give c(23).\nAnswer: 3319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 11*r**2 + 13*r + 2. What is the remainder when 123 is divided by d(-3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {q: 3, t: 7, f: 2}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*b = 0. Solve -k + 5*t - 4 = b, 0*t - 4*t + 4 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*m**3*u**3 + 11312*m**3*v - 1005*m**3 + 5*m**2*u**3*v wrt v?\nAnswer: 11312*m**3 + 5*m**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 + -94. Suppose 0*m = c*m - 70. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 30 = -4*d, -2*l + 360*d = 178*d + 181*d + 39 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -1\/6060449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17743005 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15124 (base 12) to base 3.\nAnswer: -1111112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 594 - 371. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22494 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/4)\/2)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55696)\/(-944) - 23006\/390.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2 + 1 + 0 - 2 + (-4 + 4 + 2)*(0 + 2 - 4))*(-49*o**4 + 50*o**4 + 98*o**4).\nAnswer: -594*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 minutes after 6:06 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -64, -149, -252, -379, -536, -729?\nAnswer: -964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2423 (base 5) to base 10\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 607*c + 5. Is p(1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 789 and 15.\nAnswer: 3945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 1 + 5 + (21 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 2.42?\nAnswer: 0.1694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, -84, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nchnhchh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60254672*r + 141487218 wrt r?\nAnswer: 60254672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40182, 79894, 119606, 159318, 199030, 238742?\nAnswer: 278454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s + v, -53*s = -52*s + v + 4. Let t(d) = d. Let i(o) = -86*o**2 - o - 15. Let a(b) = s*i(b) - 6*t(b). Find the second derivative of a(m) wrt m.\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592040*p = -592035*p - t - 12, -205 = p + 12*t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v. Let d(o) = 2*o. Let b(x) = -6*d(x) - 10*j(x). Let n(p) = -2*p + 4. Let f(y) = y - 6. Let a(i) = 3*f(i) + 5*n(i). What is b(a(c))?\nAnswer: 14*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -479 + 503. Calculate the least common multiple of i and 44.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44673984211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5996206.\nAnswer: 2, 17, 31, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 5. Suppose 2*z - 25 = 3*d, 3*z + 0*d = -3*d. Sort s, z, 1\/2 in increasing order.\nAnswer: s, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 + -70. What is the first derivative of -x - 36 + 16*l - 81 + 36*l**2 - 14*l wrt l?\nAnswer: 72*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(70)\/sqrt(2))\/sqrt(5) - (sqrt(700) + 0).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w**(-9))**(-47) assuming w is positive.\nAnswer: w**282","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190752911.\nAnswer: 167, 1142233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.5 - 6. Let y = 11 - p. Let l = y + -1.3. What is l rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140351\/7 - -19899. Is -150 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 6 + 5)*(-106*i - 82*i + 30*i + 36*i - 87*i) in the form m*i + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 - -59. Let h be y\/(-7) + 0\/(-2). What is the third derivative of -739*j**h + 765*j**2 + j**4 - j**4 + 8*j**5 wrt j?\nAnswer: 480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152\/3 - (-63)\/9 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nttnntttnntttnttttt. Give prob of picking 1 n and 2 t.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 - l. Let i be v(-3). What is the greatest common divisor of i and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2532\/2995 less than -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 4:17 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -739\/4 - -184. Put 0, -0.2, 2, j in increasing order.\nAnswer: j, -0.2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*n = -169*n + 136 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 1. Let z be i(-3). Solve 8\/7*u**3 + 12\/7*u**2 + 8\/7*u + 2\/7 + 2\/7*u**z = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -20*b**2 + 24. Let n = 112 - 39. Let q = -49 + n. Let m(s) = -s**2 + 1. Give q*m(t) - o(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 42 + 2*f + 0*f**3 + 5\/12*f**4 + 0*f**2. Let l(z) = 12*z**2. Give x(l(v)).\nAnswer: 720*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 41.65 * 5\nAnswer: 208.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvsvsvvzvsssvvsvvv. Give prob of sequence zsv.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, k: 12}. What is prob of sequence mkm?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37133.47 kilograms in tonnes?\nAnswer: 37.13347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23, -44, -63, -80, -95, -108?\n\"Answer: f**2 - 24*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13767791 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3.4. Let w = m - 2. Let p = 1 - 0.8. Sort -2\/9, p, w.\nAnswer: w, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14213247?\nAnswer: 3, 4737749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1185 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 11. Let r be 14\/4 + b\/(-6). Factor 0 + 0*p + 3\/2*p**r - 3*p**2 - 3\/2*p**3.\nAnswer: 3*p**2*(p - 2)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 174 (c) 5\/2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0 (c) -0.3 (d) 2031\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3929498 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b**4 + 12*b**3 + 221179*b**2 - 1188409*b + 118?\nAnswer: -60*b**2 + 72*b + 442358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13, 14, 13, 10, 5?\n\"Answer: -k**2 + 4*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (8 + -33 - -20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {e: 14, a: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+715968\nAnswer: 715968.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 26*s + 11. What is r(16)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + d - 1. Let c(a) = -3*a**2 - 12*a - 1. Let m(q) = c(q) + 2*p(q). Calculate m(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 24 - 80 = 5*l, -5*h - 4*l = 61. Let m = 67 + -63. Which is the third biggest value? (a) h (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (76 + -83)\/(7\/(-4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 3.4. Let f = -0.8 - u. Which is the biggest value? (a) 0 (b) f (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -228*h**2*k**2 + h**2 + 2*h*k**4 - 634*h*k wrt k?\nAnswer: -456*h**2 + 24*h*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a meter in millimeters?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - c + 2*c + 3 = 4*l + 2*c, 0 = l - 8577*c + 8586*c + 21 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5613172 and 5068?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -1\/4 (c) -2 (d) -15 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.3, -305 in increasing order.\nAnswer: -305, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000844158918 rounded to six dps?\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 18. Let i be (8\/12)\/(2\/o). What is v in -13*v + 2*v**i + 10*v + 7*v = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109317965 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {g: 2, h: 18}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a week in minutes?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 28*b + 213. Is f(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 243\/18*8\/(-6). Let t = 7 - a. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a - 3. Let c be 0 + (-6)\/(-1) - 4. Give f(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000480951 rounded to seven decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/((-205)\/3690)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 13 + 0*l + l - 8. Let v be m(6). Let h be (-55)\/112 + v\/(-7). Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 5) + -4 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/5)\/(297\/(-330)). Let m be (-6)\/(-3)*(0 + 15\/6). Put 0.4, m, d, -0.4 in descending order.\nAnswer: m, 0.4, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 15. Differentiate 4 + 13*m - 13*m - 2 - t*m**3 wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 10*r**2 - 5*r + 12. Let n be c(-9). Let v be ((-6)\/(-2))\/(n\/(-7520)). Round v to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.61*-18626.\nAnswer: -234873.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 1. Is 7 a factor of m(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4528 + 1.26. Let f = -1.3146 + 0.1146. Let u = x - f. What is u rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 69*c**2 - 218*c + 159. Let f be j(72). What is the greatest common factor of f and 1605?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**3 - 13*u**2 + 26*u - 17. Let j be f(-6). Solve 15*n - 16*n = -5*r - 11, 3*n + j = -5*r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3507*256\/(-9408) - 89?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 35*c - 1638. Let w be b(47). Solve -1070 = w*d - 1028 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from tdxtdxcxqcdtxd.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1287\/77 + 4\/14. Let c = 37 - s. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 15, 4*h + 35 = 5*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -162571\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + c - 4*h + 16, c - 8 = -5*h. Let a = 7 + c. What is the tens digit of -3*(-4 + (-145)\/a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 42 - 44 = 0. Suppose -2*w + 6 = -3*f, -3*w + 0*f = -2*f - 9. Solve 2*m + w*k = -5, 4*m - 5*m = 2*k + h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2533445 + 16?\nAnswer: 2533464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 79 + 31 = -2*u, -4*x - 175 = -5*u. Let c = x + 65. Calculate the highest common factor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f + 211 = -24*f. Suppose -5*l + 360 = 5*s, -f = -3*l - 0*s + 2*s. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 1, b: 1, r: 2, l: 1, s: 1}. Give prob of sequence ls.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/5*(-6)\/30*2\/(-4)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00071998 to 5 decimal places.\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/3*(-6)\/(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 292, 774, 1436, 2278?\n\"Answer: 90*m**2 + 212*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 2*l - 2246. Suppose 0 = 5*c + 3*j - l, 5*c - 4*j = -5*j + 1121. Suppose 7*z + c = 11*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 333 + 16. What are the prime factors of n?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 - ((-462)\/616 - (-97)\/(-4))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3639 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 12*b**4 + 448*b**3 - 776*b**2 + 160*b + 156 = 0.\nAnswer: -39, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11970258.6 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 28*y - 38 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261639, -522692, -783745?\nAnswer: -1044798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(4\/((-12)\/3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 370, 363, 352, 337, 318, 295?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 660*m + 719345.\nAnswer: -5*(m - 319)*(m + 451)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*23243404.\nAnswer: 69730212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/264 - (-21)\/1048. Let j = -647\/13493 + k. Is -1 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-130)\/(-1105))\/((44\/55)\/(-2))\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 7 in decreasing order.\nAnswer: 7, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3 + 2\/3*s**3 + 2*s - 2*s**2 = 0. What is s?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - h)*(0*h + 2*h - 4*h) + (-h**2 + 4*h**2 - h**2)*(0 + 2 + 0) to the form k + g*h**2 + r*h and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1546824572 to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -122, 7.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezuc when four letters picked without replacement from {c: 3, v: 1, e: 1, u: 4, z: 6, t: 1}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.133371 grams to nanograms.\nAnswer: 4133371000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2273*p**3*w**3 - 5*p**3*w - 5*p**2*w + p*w**3 - 2*p*w - w wrt w?\nAnswer: -13638*p**3*w + 6*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 - 4*q**3 - q**3 + (-21*q + 8*q + 11*q)*(q**2 + q - q))*(2 + 0 - 1)*(q + 1 - 1).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -111. Let q = 51 - w. Let b = -0.26 + -0.04. What is the closest to -1\/3 in 5, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 35122?\nAnswer: 245854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**5\/4 - 47*j**4\/4 + 150*j**3 - 190*j**2 - 1804*j - 1452 = 0.\nAnswer: -2, -1, 6, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.96 - -8.16. Let y = 4.5 - i. Put 0.2, y, -1\/7 in decreasing order.\nAnswer: y, 0.2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2 + 4*g**2 + 5 - 5*g**2. Let x(t) = -23 - t + 6*t**2 - 13*t**2 + 14. Let i(p) = -5*l(p) - 3*x(p). Calculate i(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 89. Suppose 5*l - l = -3*k + m, k = 2*l - 41. Suppose 2*a + 0*f - 3*f - 15 = 0, -5*a + 51 = -3*f. What is the least common multiple of a and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*k - 0*n - 4*n, 0 = 3*k + 5*n + 15. Let m(z) = z - 5. Let r be m(0). Sort k, -4, r in decreasing order.\nAnswer: k, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59327 is divided by 4942.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16930 - 33930. What is y rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {n: 1, x: 2, u: 1, l: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.37, -4, -66?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**9\/60480 + c**6\/180 - c**5\/15 + 4*c**2. Let a(v) be the third derivative of l(v). Find the first derivative of a(r) wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 1. Let s be z(7). Let l(p) = -s*p**2 - 2*p**3 - p**2 + p + 3*p**3 - 1 - 8. Calculate l(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*(-15)\/(2475\/15)*-11?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 964585, -5, -1, -23 in ascending order.\nAnswer: -23, -5, -1, 964585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 h when three letters picked without replacement from {i: 3, h: 15, q: 2}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x - 4*x + 3 + 0*x - 7*x to the form w + u*x and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 23*j**3 + 80*j**2 + 156*j + 73. Let y(z) = 11*z**3 + 40*z**2 + 77*z + 36. Let o = -58 + 71. Let q(h) = o*y(h) - 6*c(h). What is u in q(u) = 0?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 306534, 4\/5, 5, 219 in decreasing order.\nAnswer: 306534, 219, 5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a - 10*a - 404 - 15*a + 36*a + 102 in the form m + p*a and give m.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*g - 20. Suppose 12 = -4*n, c + g = -0*c - 2*n. Let q = 6 - 3. Solve 8 = -q*s + i - c, 0 = -5*s - 3*i - 29 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/8)\/(138435\/7551).\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*(0 + -14). What is the units digit of f\/(-14) + (-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 21*l**2 + 2*l - 2. Let w(q) = -q**2 + 1. Let c(d) = n(d) + 3*w(d). Determine c(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {d: 3, n: 3, x: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -540000*o - 6479993. Calculate u(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -20 (c) 0.07 (d) -5 (e) 0.14 (f) 0 (g) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 2\/9, -2\/727, -5\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 973.7 - 912. Let z = -54 + c. Let a = -7.634 + z. What is a rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/10 - (-3)\/3) + -1. What is the closest to 1 in 0.4, h, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 1841 = -12*n - m, -5 = m. Let v = n - 471. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 times -62.038\nAnswer: -1364.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -t - 41, -52 = 24*c - 22*c - 4*t. Let k be c\/(-189)*-39 + 8\/(-14). Let x(f) = f**2 + 9*f - 2. Calculate x(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-64))\/((-183)\/(-1708))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149615353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 124*g**2 + 8*g - 49. Let z(r) = -2*r**2 - r + 6. Calculate -b(a) - 8*z(a).\nAnswer: -108*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-8)\/((-960)\/100)*(-3)\/(-65).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:22 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 257006*l - 256950*l - 2800 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhh. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21266*x**2 - 12461?\nAnswer: -42532*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484513, -484514, -484499, -484462, -484397?\nAnswer: -484298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -5*x - 37\/12*x**4 - 23\/2*x**2 - 2 + 0*x**3. What is the first derivative of l(p) wrt p?\nAnswer: -74*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25792890 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-34)*p**(-2\/33)*p assuming p is positive.\nAnswer: p**(1186\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6445, 25778, 57999, 103108, 161105, 231990?\n\"Answer: 6444*h**2 + h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 13) in base 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14248 and 26383734.\nAnswer: 3562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15527873?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 14036 = -4*o. Let x be (-4)\/3 + o\/(-33). Suppose 4*y = -3*u + 60, 6*u = u - 5*y + x. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 6*z**2 - 5*z + 4. Let l be d(5). Solve 0 = l*b - 10 - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2164 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*z + 4*n + n, -z + n + 2 = 0. Suppose 2*i + 4*m - 2818 = 0, z*i - 3*i + m - 5643 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 22*c**2 + 28*c - 43. List the prime factors of h(23).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/16)\/(2\/20). Which is smaller: p or 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -23) + (0 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 0*q - q. Let k(a) = a. Suppose -8*d + 4*d = 8. Give d*r(x) - 6*k(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 390000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24288, -2\/5, 0.4 in decreasing order.\nAnswer: 0.4, -2\/5, -24288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(-2*sqrt(11) - sqrt(11)))**2 + (sqrt(11) - (sqrt(66)\/(sqrt(12)\/sqrt(2)))**2 - (sqrt(99) + -4 - sqrt(11))).\nAnswer: -61*sqrt(11) + 2472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 14. Suppose 24 = -144*s + 146*s. Let v be 28\/(((-2)\/2)\/(13 - s)). What is the closest to -2\/3 in v, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 2. Let z(h) = -7*h - 27. Let t(k) = -2*k - 9. Let w(l) = 17*t(l) - 6*z(l). Let x(f) = -18*p(f) + 4*w(f). Let d(v) = 2*v. Calculate d(x(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**8\/3360 - g**7\/630 + g**6\/360 + g**4\/24 - g**2. Let u(o) be the second derivative of d(o). What is a in u(a) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035832 rounded to 6 dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-8) - 17592\/(-64). Suppose -3*y - 80 = -s. Suppose 0 = 4*v - 5*x - 415, -4*x = -2*v + y + 141. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30233 + -124?\nAnswer: -30401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*n - n + 0*n)*(1 + 0 + 2 - 6 + 3 + 1 + (-2 + 0 + 3)*(2 - 2 - 2) - 4 - 2 + 5).\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*v**4 + 9229*v**3 - 173*v + 93.\nAnswer: -72*v**2 + 55374*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*(-2*l - l + 2*l)*(3*l + 38*l + 83*l) as q + h*l**2 + a*l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*t - 36*t - 5*v - 51770, t + 2*v - 10339 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 6*j**2 - 8*j + 6. Let v(n) = n + 3. Let t be v(2). Suppose -4*o + 3*p = -8, 0 = -5*o + 2*o + t*p - 5. Calculate q(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 2:28 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 0. Let t be 2 + 0 + (-26)\/h. Let p be ((6\/15)\/(-1))\/(6\/5). Which is the smallest value? (a) p (b) 7\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 6:04 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.59187 - 0.599. Round v to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llld when four letters picked without replacement from {d: 4, l: 3, o: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -11, -25, -1\/3, -4 in descending order.\nAnswer: 4, -1\/3, -4, -6, -11, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/l*l)**(-33)*(l*l\/((l**1*l*l)\/l*l))**41*(l**1)**(2\/39)\/((l*l\/(l*l\/(l**(-7\/4)\/l)*l))\/l**(-3)) assuming l is positive.\nAnswer: l**(-6271\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -191, 47, -7 in descending order.\nAnswer: 47, -5, -7, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-112)\/(-20) + (-9)\/15. Suppose g*z + m - 219 = 0, 5*z + 4*m - 79 - 137 = 0. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4517*t**2 - 728*t**2 + 312*t**2 to the form s*t**2 + d + u*t and give s.\nAnswer: -4933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-312)\/(-112))*36\/(-553644)*39.\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10201222201022 (base 3) to base 6\nAnswer: -110334355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10384\/3? (a) 1 (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 12 = 5*b. Suppose -b*r - 94 = -r - f, r = 3*f - 42. Let m = -21 - r. Calculate the highest common divisor of 63 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*y + 14 = 6*y, 19 = -4*x - 3*y. Let a = -3 - -4. Let g = a + -0.7. What is the biggest value in g, x, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4508*t - 4410*t + 2833*t.\nAnswer: 2931*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 318?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1365*n**3 + 58*n**2 - 57*n - 1. Let z be s(1). Solve 1251 = -19*m + z for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-60.0647.\nAnswer: 12.01294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 24*y**3 - 3283. Let c(d) = d - d + 0*d + 3*d. Calculate c(w(j)).\nAnswer: 216*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-3 + (-6)\/(-3)). Let a = 4.36 - 2.36. Suppose -x - 3*b = -2, -3*b = -x - 4*x - 26. What is the closest to a in x, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 5637*c**2 - 17*c + 17*c + 5623*c**2.\nAnswer: -14*c**2 - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 59, -0.046, 0.5?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4401 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q + 392 = 31*q. What is the remainder when q is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyjbyyxjcjbxccx. Give prob of picking 1 b and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, -4, -1, 1, 36394 in descending order.\nAnswer: 36394, 1, -1, -4, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v + 9. Let a be f(5). Let m be (a\/(-2) - -4)*(2 - 20). Suppose 4*n - 227 - m = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -5, -3\/5, 831?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/281 + -1413\/1124. Let t be ((-4)\/(-72))\/((-8)\/32). Sort h, t, 0.2, -0.5.\nAnswer: h, -0.5, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75*a**4 + 1 + 71*a**4 - 3 - 2*a**4 + 0*a**4 + 3*a**4 + (-3*a**2 + 0*a + 0*a)*(-2*a**2 + 3*a**2 - 3*a**2) + 0 + 2*a**4 + 0 + (2 - 2 - a**4)*(-1 - 3 + 0).\nAnswer: 9*a**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n*n**1*n)\/n)*n)\/(n\/((((((n\/n**(-6))\/n)\/n)\/n)\/n)\/n)))\/(n*n*n**1*n**(2\/5)*n) assuming n is positive.\nAnswer: n**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 15*p**2 + 336*p + 26. What is q(-22)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.227 + 21.377. What is w rounded to zero decimal places?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*f + 11061172 = -1135619. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1. Let s(v) = v**3 + 2*v**2 + 2*v - 5. Let y(l) = -3*o(l) + s(l). Give y(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 - 186*i - 227. Give o(63).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 13 = -7, 0 = 4*r + 4*w - 84. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (7 - -14) - (-1 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37347233 or 6?\nAnswer: -37347233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945579999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a millimeter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1671 and 419732\/251 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 22 + (9 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3372 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, 4, 8, 12, 16, 20?\n\"Answer: 4*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6.57145 days?\nAnswer: 9462.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 0*b**3 - 23 - 7\/2*b**2 + 0*b + 21\/4*b**4. Find the second derivative of q(k) wrt k.\nAnswer: 126*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {l: 2, w: 9, u: 5}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 297100 - 2666285\/9. Suppose -7*f - 1696 = -5*f. Let x = f + r. What is the common denominator of -9\/8 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minus -36767?\nAnswer: 37091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 25 = -4*h. Which is smaller: 8 or h?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220049 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*m = 367*m + 148 - 27 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9, -1.6, 0.18?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5474 (b) -4 (c) 20\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16159, -32860, -49561, -66262, -82963?\nAnswer: -99664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/46103 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p = -t - 14, -30 + 26 = t + 4*p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (55\/22)\/(((-4)\/5752)\/(-1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 <= 164\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.062, 0.039, 48.28, 0.3, -3, 3?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/9)*l*l\/l**5*l**12\/l**45 assuming l is positive.\nAnswer: l**(-320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141711667 or 141711669?\nAnswer: 141711667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*h**2 - 148*h**2 - 167*h**2 + 54*h**3.\nAnswer: 54*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-43 + 44)*(2 + -2). Suppose 0 = 3*f + 5*h - 63, 3*f - 2*h - h - 39 = n. What is the highest common factor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 138*h**2 - 114*h - 18. Is b(6) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**4 + 2*a**3 + a**2 - a. Let n(y) = 15*y**4 + 5*y**3 + 2*y**2 - 88*y. Let k(x) = -n(x) + 3*z(x). What is the third derivative of k(v) wrt v?\nAnswer: -504*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 295 + -152. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2316*s - 148222. Determine m(64).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*((sqrt(1008) + (sqrt(1008) + 1 - sqrt(1008)) + 0 - sqrt(1008) - sqrt(1008) - sqrt(1008)) + sqrt(1008)))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 46 = 2*v + 2*v, -q + 3*v = 18. Let g = 25 + q. Calculate the highest common factor of g and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eooeeoooeooee. Give prob of sequence ooo.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/2*(-5 + 14). Let a = 10 + h. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 198 (c) -21999 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52080 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -4*z - 5*k, 3*z + 4*k - 122 = -17. What is the common denominator of -3 - 1\/((-44)\/284) and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qllqpllkpppkl. What is prob of sequence lp?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/129 and -167\/30.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -145*u**2 - 394. Let l(o) = 723*o**2 + 1966. Let a(r) = 11*k(r) + 2*l(r). What is the first derivative of a(b) wrt b?\nAnswer: -298*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3 - 54292395*y**2 + 325754451*y - 488631717 = 0. Calculate y.\nAnswer: -18097471, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1250.649 * 0.1.\nAnswer: -125.0649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, 621, 923, 1211, 1479?\nAnswer: 1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -732.7 + 733. What is the closest to -2 in 0.7, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*c - 15*c - 1624 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/105 - 6\/(-21))\/(40\/(-25))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z - 6*z + 3*z + z - 816*z**2 + 6*z in the form f*z + j + x*z**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) + (-1470)\/(-75). Solve 4*k + k = -s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 7. Let n = -21 - -29. Let c be y(n). Suppose -4*h + 31 + c = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2236*j + 4144 + 6643*j - 4144 - 1171*j in the form h + q*j and give q.\nAnswer: 7708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 69 = 4*b. Suppose -2*a = -3*a + 51. What is the greatest common factor of b and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 29*p**2 + 30*p + 40. Let z be b(28). What is the first derivative of 37*l**3 - 16*l**3 - 75*l**3 - z wrt l?\nAnswer: -162*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 0*m + 0*m**3 + 0*m**2 + 2\/15*m**6 + 4\/5*m**4 - 16\/25*m**5 + 10. Factor q(a).\nAnswer: 4*a**3*(a - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3312011231 (base 4) to base 15\nAnswer: 14d9db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) 3 (c) 26\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.759 + 4.241. Let m be 1 - (-11)\/(-7)*1. Which is the fourth biggest value? (a) m (b) y (c) -0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/25)\/(3\/(-15)). Suppose -4*p + 16 = -2*r, t*p = 4*r + 3 + 9. Let -1\/4*i + 1\/4*i**3 + r + 0*i**2 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503079413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**5 + m**5 + 0*m**5)*(-4 + 1 + 2) + (0 - 4 + 3)*(0 - 2 + 1)*(273 - 240 + 125)*(-m**5 + m**5 + 2*m**5).\nAnswer: 315*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-6))\/(38\/(-3534)). What is the derivative of -5*p - 32*p - 9*p - j*p - 8 wrt p?\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, o: 3, a: 2, y: 6, w: 2}. What is prob of sequence wuaw?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - ((1 - 4) + 6)) + -5 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 4. Calculate the highest common factor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-4*v - 10 + 10)*(2*v + 0*v - v) - 989 + 989 + v**2 + 1206*v.\nAnswer: -7*v**2 + 1206*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -t - 2321 - 11213, -3*t = -6. List the prime factors of n.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 7. Let d(w) = 53 + 5*w + 2*w**2 - 4*w - 3*w**2. Is d(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3\/4 + 49*y**2 - 735*y + 468 = 0.\nAnswer: -78, 2\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 174169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169.53 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 620.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/35 + 879\/15. Suppose -2*g = -0*d + 2*d - 16, -4*g = -5*d - i. What is the greatest common divisor of g and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 25 - 5 + 6 + 24 + 2*h. Let q be c(-15). Solve -z = -5*z + q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 2:56 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64647 - 27962. List the prime factors of s.\nAnswer: 5, 11, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73.6 + -615.2. Let y = w + 487. Let u = y + 54. Which is the nearest to u? (a) -3\/2 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -13*z**5\/20 - 5*z**4\/4 - z**3\/3 + 3*z**2\/2 + 5*z + 16. Is c(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -3*n - 4*h, -5*n + 473 = -5*h + 53. Solve -4*i - 24*i = n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 747 and 4565.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -276, -1218, -2852, -5196, -8268, -12086, -16668?\n\"Answer: -3*r**3 - 328*r**2 + 63*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1999 = -6*d + 3372 - 1835 for d.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 20 = 4*v, -24 = -x + 2*v + 3*v. Calculate the highest common divisor of 28 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffy when three letters picked without replacement from nfnnyfnyyffnn?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11111222121 (base 3) to base 7\nAnswer: 520156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p. Let f be d(-6). Let r be (6 - f)*2\/4. Suppose r = 3*b - 240 + 69. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**4 - 15056*c**3 - 7124040*c**2 - 901572400*c + 908711500 = 0.\nAnswer: -3235, -265, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (7284\/24)\/((-5)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s*((s**(-2)*s)\/s)\/s))*s\/((s*s**(2\/19))\/s*s*s*s)*s)\/((s\/s**(5\/3))\/(((s**(3\/8)\/s*s)\/s*s)\/s)) assuming s is positive.\nAnswer: s**(-1853\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 12) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*q + 5*q + 1495*q.\nAnswer: 1566*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g**3 + g**2 - 1. Suppose 0 = 3*h + 2*h - 125. Let z = h + -16. What is the smallest common multiple of z and y(-1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (652\/1141)\/((-1)\/(-14))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1429874720.99999889 + -1429874967. Let t = -246 - z. Round t to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3947058.\nAnswer: 2, 3, 219281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(2) - (sqrt(18) - sqrt(2))))\/(sqrt(3) + 3*sqrt(27)) - ((sqrt(240)*-5)\/(sqrt(12) + sqrt(12) + sqrt(192)*4))**2.\nAnswer: -125\/81 - sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -443, 0, -234, 0.2, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/3 + 32*a**3\/3 - 110*a**2\/3 + 76*a\/3.\nAnswer: 2*a*(a - 2)*(a - 1)*(a + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*(-14)\/336*5)\/10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1653 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 3*n + 2*n**3)*(64*n**2 - 3179*n**2 + 451*n**2) + 0*n**5 + 3*n**5 - 2*n**5.\nAnswer: -5327*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -260 (b) -3 (c) -1.9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37179 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39666 is divided by 522?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 40 = -35. Let n be 3\/(y\/10 + -3). Put n, -3, -65 in descending order.\nAnswer: n, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 916?\nAnswer: -916.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 7) in base 4?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*l - 4000, -2*l + 3575 = -5*q + 900. Let j = l + -938. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30605\/2 - -15304. Let w be 2*3\/(-15)*-10. Factor -3\/2*z**w - a*z + 1\/2 + z**2 + 1\/2*z**5 + z**3.\nAnswer: (z - 1)**4*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84 * -3524165.\nAnswer: 296029860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**4\/12 + 5*p**3\/6 - 7*p**2 + 2*p. Does 18 divide x(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 17. Suppose 4*a = 5*y + 55576, 2*a + t*y = y + 27818. Let f = -2699 + a. Round f to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -607 = 107*g + 763 - 86. Suppose 0 = 5*b - 3*b - 8. Which is smaller: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - -1*(-5 + 2). Let d be c\/(0 - (5 - 3)) + 3. Suppose -5*j + 25 = 4*m, -4*j + 3*j = -m + 4. Solve 0 = -m*x + w, 2*x - w = -d*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*d + 371 + 84 - 65 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 5*y - 5*y + 30*y - 11*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 899, -0.03, -2\/19, -3?\nAnswer: 899","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/359425 and -29\/1503050.\nAnswer: 16533550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b7 (base 14) to base 2.\nAnswer: 10100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-8 + 11 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*b = -234*b + 1013. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5242 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2466767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6723*l**3 + 2632*l**3 + 2622*l**3 + 1448*l**3.\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 961362.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4 - 139784*k**3 - 279588*k**2 + 139784*k + 279584 = 0. What is k?\nAnswer: -2, -1, 1, 34948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g + 13*g + g to the form z*g + t and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 421 - 424. Let o(g) = g**3 + 4*g**2 - 7*g - 6. Let k be o(-5). Suppose 0*l + 8 = -k*l. Is l equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/8)*c**9*c)\/((c\/c**(3\/2))\/(c**(4\/3)\/c*c)) assuming c is positive.\nAnswer: c**(275\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2*1\/3*5\/120*54\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 2*i**2 + i. Let d(l) = -l**4 - 6*l**3 - 347*l**2 + 6*l. Let z(u) = -d(u) + 6*f(u). What is the third derivative of z(n) wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -738, -739, -742, -747, -754, -763, -774?\n\"Answer: -o**2 + 2*o - 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + 161. What is the least common multiple of 55 and 5\/(i\/5936) - (-2)\/(-14)?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -12*k**2. Let s(d) be the third derivative of -4*d**5\/15 - 2*d**2 - 24. Determine q(s(m)).\nAnswer: -3072*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 - (23 - -8) - 15?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 7699 + 5797 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -524 - -527. Suppose -j = -5*r + 47. Let p(s) = 6*s - 7. Calculate the remainder when p(6) is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 749956 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*r**3 + 53*r**3 - 2 - 7 + 9.\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cc4 - -5?\nAnswer: cc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 6. Suppose 5*j = 6 + 4. Suppose -j*s + 4*s - 5*s = 0. Suppose -x - x - 6 = s. Let z(k) = k + 5. Calculate x*z(y) - 2*t(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000883917 to six decimal places.\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36367, 72707, 109047?\n\"Answer: 36340*k + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -12*y**3 - 3*y**2 - 12*y + 290. What is the hundreds digit of q(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from iirrlimymyayyyy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -17*w - 195. Let f be o(-15). Solve -61*c - 4 = -f*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 15) + (-19 - -31) - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0331156 to 3 decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 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 f = -189.7 - -189.7. What is the second smallest value in 0.3, -1\/11, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 199.868 * -4.6\nAnswer: -919.3928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**5\/12 - 7*f**4\/24 + 3*f**3 - 8. Let u(w) be the third derivative of h(w). List the prime factors of u(-4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*s - 100*s = -48 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10506*v - 31538*v - 4*v**3 + 10518*v + 10514*v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-1)\/2 - 0. Let h be (-1 - -1) + 0 + a. Is (-2 - h - 0)*-6 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112000010 (base 3) in base 4?\nAnswer: -13103010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 427 (c) -1 (d) -3 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 - 3*g**2 + 4. Let l(o) be the third derivative of -o**6\/120 - o**5\/30 + o**3\/2 - 729*o**2. Calculate -3*l(i) + 2*v(i).\nAnswer: -i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 3090 = 22*k. 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 the eighth root of 40471547 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, 550, -21892?\nAnswer: 550","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*1 + -6 + 6. Solve 7 = -b*l + 5*x, l = 3*l + 5*x - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4452 = r + 52*r + 4611 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from {k: 12, c: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 - 9*z**2 - 9*z**2 + 29*z**2 + 0*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 2*h - i, -3*h + 5*i - 80 = -0*h. What are the prime factors of -1 - 1\/(2\/h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1321 - 3973*o**2 + 38 + 332*o**2 - 377 + 172*o**2 wrt o.\nAnswer: -6938*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, -5\/4, -1, -2\/25 in descending order.\nAnswer: -2\/25, -1, -5\/4, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 5:32 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3\/4 + 23265*y**2\/4 - 133629*y - 290525 = 0.\nAnswer: -2, 25, 23242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21900922 take away -35813?\nAnswer: 21936735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 440558 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)\/o**(5\/2)*(o**(-2))**(-5\/12))\/(o*o**(-5)*o*o*o**(-1\/22)*o*o)**(-50) assuming o is positive.\nAnswer: o**(-119\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - (-28316)\/10) + (-2)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**3 - 168*z**2 + 2145*z + 60. Determine h(36).\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2098304881\/37 - -113393497\/2. Let o = k + 14194. Find the common denominator of o and 27\/14.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 6*c - c. Let u be ((-90)\/(-105))\/(2\/c). Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) + 1*sqrt(76) + sqrt(76))*6 + sqrt(76)*-1*6)\/(3*sqrt(28)\/(sqrt(14)\/sqrt(2))) + 1.\nAnswer: 1 + 13*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3ed9 + 3?\nAnswer: -3ed6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7642 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144 + -204044224?\nAnswer: -204044423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 372973 - -4?\nAnswer: 372977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42535\/2 or 21268?\nAnswer: 21268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6*((-80)\/15 - -4)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 + 3*q**2 - 52)*(-1 + 0 + 2) + 3 - 3 + 5*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1861 divided by -7\nAnswer: 1861\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 - 9*k - 76)*(k**4 + 0 + 0).\nAnswer: -9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*t + 5*t - 2*t)*(-2*t - t + 2*t) - 4*t**2 - 93*t**2 + 202*t**2)*(-3*t + t + 4*t) in the form p*t**3 + f*t + w*t**2 + v and give p.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 3*i**5\/5 - 15*i**4\/2 + 28*i**3 - 36*i**2 - 9675. Determine o, given that t(o) = 0.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + (-7 - -12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 16. Let j(u) = u - 15. Let s(t) = 4*j(t) - 3*k(t). Let i be s(8). List the prime factors of 10\/i*20\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*x**3 - 290*x**2 - 175*x - 20 = 0. What is x?\nAnswer: -1, -4\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000110110 + -100?\nAnswer: 100000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/(1\/((-4)\/(-6))). Let h = 44 - b. Solve i = -3*t + 6, -h*t - 4*i = -2*i - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*f**4 + 1033*c*f**3 + 7*c - 372*f**2 wrt f.\nAnswer: 48*c*f + 6198*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 11:18 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -246*s**2. Suppose 28 = 4*q - 6*x + 2*x, -5*q = -2*x - 26. Let u(t) = q*t**2 - 3*t**2 + t**2 - t**2 + 0*t**2. Determine g(u(k)).\nAnswer: -246*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54208)\/(-3025) - (-2)\/25. Suppose -3*m = -6*m + 174. Suppose 4*p - m = 10. Is o at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-99)\/(-1848)*-316\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (6 + -9)) + (3 - 1) + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/(d*d*d*d**(2\/3)*d*d))\/(d**(2\/7)\/d)**(-6\/31) assuming d is positive.\nAnswer: d**(-2477\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n = -1056. What is the highest common factor of n and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312953 + 48\nAnswer: 313001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293*k = -220635 - 1535021. Is k a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2252 = -2*k + 5*l, l + 1160 = -5*k + 6817. Does 64 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 + 73. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 15*z**3 + 182*z**2 + 2171*z. Let t(l) = 6*l**3 + 90*l**2 + 1085*l. Let a(o) = 3*s(o) - 7*t(o). What is the second derivative of a(y) wrt y?\nAnswer: 18*y - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -7, 1, -4, 144, -3 in decreasing order.\nAnswer: 144, 15, 1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 8. Let f be u(4). Let g = f - 74. Let l = 105 + g. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55406.41 millilitres in litres?\nAnswer: 55.40641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m - 167. Calculate the least common multiple of s(61) and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110047.\nAnswer: 7, 79, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1559\/273 + -4\/91. Which is bigger: -1\/10 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d + 2. Let a(q) = -q - 1. Let v(t) = -4*a(t) - o(t). Let f be (-2)\/(-3) - 40\/6. Is v(f) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/102*19 + -1 + 2752\/2040?\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167902106 to the power of 1\/2, to the nearest integer?\nAnswer: 12958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81999836 is divided by 6240.\nAnswer: 6236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7\/4, -1\/8, 4, -2906, -2?\nAnswer: -2906","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/(63\/56)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -112.06343262 to the nearest integer.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.0802 + 0.0802. Which is the nearest to t? (a) 4\/7 (b) 2\/9 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + b + 19, 6*b - 19 = 4*y + 3*b. Sort y, 4, -5, 2 in increasing order.\nAnswer: -5, y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/(-27))\/(-11)*54\/9?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274468795 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 32*a - 345. Solve -9 = -a*o - 74 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*t - 117, 5*y - 200 = -t - 28. Let j = 7 + -1. Suppose 14 = j*i - 16. What is the greatest common divisor of y and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 874335050 to the nearest integer?\nAnswer: 29569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1935, 3138, 4621, 6384?\nAnswer: 8427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o - 894 = -598. Let y(n) = -8*n + 39. Calculate y(o).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123225368.\nAnswer: 2, 7, 61, 36073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12969122 + 12955099.561. Let w = 14016 + m. Let v = -6.4 - w. What is v rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9*(-6)\/(-18))\/((-6)\/(-4)). Find the third derivative of -l**5 + 10 - 2*l**2 + 22*l**p - 18*l**5 + 2*l**3 - 19*l**2 wrt l.\nAnswer: -1140*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30, 73, 188, 411, 778?\n\"Answer: 6*i**3 + i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*o + 1 + 5, 0 = -3*o + 9. Suppose m = 2*v + 5*i + 8 + 2, 0 = v + 5*i + 15. Differentiate 5*l + 2*l - v*l - 2 wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -4, 3\/7, -0.34, -2, -959?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + t**4 - 2*t - 2 - 4*t**3 + 0 + t**4 to h*t**3 + k + a*t**2 + z*t + o*t**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 3:45 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6))\/((-195041)\/2499 - -78).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 16*r + 89. Let g be a(8). Solve 18*z - g = 23*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 375, 37, -2\/3, -3, 3 in decreasing order.\nAnswer: 375, 37, 3, -2\/3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/6 - 13*v**3\/6 - 11*v**2\/2 + 15*v\/2 + 27 = 0. Calculate v.\nAnswer: -9, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5625 by -5.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52440 and 14660970?\nAnswer: 1348809240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(8\/5)*l)\/l*l**24*l)**(7\/11))**(6\/5) assuming l is positive.\nAnswer: l**(5586\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000586389 to five decimal places.\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*z - 2 = -139*z, 4*c + 8 = 4*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 76?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u + 1. Let p be (-4)\/(-6) + 3\/9. Let z be a(p). Solve 4*y = z*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**2 + 1652196*m - 23130548 = 0.\nAnswer: 14, 1652182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7. Suppose l*m + 3*m - 57 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -12*l. Let u(v) = 7*v**2 - 3. Let p(q) = 8*q**2 - 4. Let b(k) = 3*p(k) - 4*u(k). Let g(s) = s**2. Let z(w) = -3*b(w) - 14*g(w). What is z(t(c))?\nAnswer: -288*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26303*v**2 + 85698*v**2 + 265480*v**2.\nAnswer: 377481*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 28 + (-12 - -11) - 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*a + 162 = 0, 2*y + 2*a + 189 = 7*y. Let x = y + -35. Suppose 8 = 2*b + x. Solve -l + b = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -148. Suppose -z - 3*d = -d - 47, -3*z - 3*d + r = 0. What is the greatest common divisor of 30 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 153 = 4*v - 143, -4*v = -4*i - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 24 = -y + 2*o, 3*o + 19 = y. Suppose -y*l = -143 - 153. Does 5 divide (1\/(-8)*-4)\/(1\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m - 14. Let p = -3745 - -3842. Calculate the remainder when p is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*z - 88*z - 45870 = -203*z. What are the prime factors of z?\nAnswer: 3, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(-5)\/c)\/c)*((c*c*c**3)\/c*c)\/c)**(2\/13) assuming c is positive.\nAnswer: c**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3580471\/96 - 37297. Find the common denominator of (-4 + 621\/156)*534\/9 and t.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 68569280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 30. Let u = j + -32. Which is the second smallest value? (a) -2 (b) -0.1 (c) 2 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.158 + -8.158. Which is the third biggest value? (a) 0.043 (b) -1 (c) -0.5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from iuyiyjiicyyyyjziiyii.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108 * 0.4.\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*u, 2*r + u - 15 = -2*u. Let m(g) = 3 - r - 2*g**2. Let a(h) = -5*h + 2*h + 0*h. Determine a(m(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -29047*-3\nAnswer: 87141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 35*w**2 + 71*w + 169. Let r be d(-33). Solve r*u = 8, -3*u = 3*t + 2*t - 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/(-14)*(-4)\/(-6). Let s = -4 - -7. What is the nearest to 2\/5 in s, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 1, 1634, 5, 1\/4, 5.3, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.488 + -39.412. Let l = o - -33. Let u = -7 - l. Which is greater: u or -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(396\/(-30))*5\/((-60)\/(-18))*-10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 402250000 rounded to the nearest 1000000?\nAnswer: 402000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(4212) + 1 + sqrt(4212))*-6 - (sqrt(104)*4*3 - sqrt(104))\/sqrt(2)).\nAnswer: 18 + 714*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**3\/3 + 5. Let t(j) = -2*j - 3*j + 3*j. Determine t(s(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*p - 20, 3*p + 2*p - 10 = 3*t. Suppose -t*g = -10*g + 15. Solve -4*v = 4*k + 12, 3*v + g*k = -2*v - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-6))\/(-11)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2. Let x(m) = -2*m + 14. What is v(x(z))?\nAnswer: 8*z**2 - 112*z + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wk when two letters picked without replacement from rrkrwkrkr?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157183 (base 12) to base 15.\nAnswer: 73186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 4\/(-14)*(-1204)\/(-56)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -45\/1691264 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10775 * -0.1.\nAnswer: 1077.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 294145198?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/7 - 8*n**4\/7 - 4*n**3\/7 + 8*n**2\/7 + 6*n\/7 = 0. What is n?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p = 2*p - 96 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-36)*5518\/(-2759).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1115 + 1115 = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4 = a, -44 + 16 = 5*t - 3*a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u = 10. Suppose u*z = 8*z + 4. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 3973*j**2 - 14726*j**2 + 5372*j**2 + 5339*j**2.\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 73 - 20 - -48?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p = -330 + 580 - 314 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f = 1156. Let i be f\/3 + 3\/(-9). Suppose -i = -6*j + 3*j. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4046885633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o = 5*x + 9, -12 = -2*o + 2*x. Differentiate 5*j**o - 36 + 5*j**3 + 52 - j + 2*j with respect to j.\nAnswer: 30*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1854\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -u - 31, 0*u = 3*s - u - 17. Let q(j) = -j**2 - j + 13. Let w be q(0). Let o = s - w. Let p(n) = n**2 + 5*n - 3. Give p(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v - 8. Let z(f) be the second derivative of f**5\/20 + f**4\/3 + 3*f**3\/2 - 6*f**2 + 27*f. What is the units digit of z(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120008746 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-2 + 2 + 4*s) + 306*s - 298*s - 2 - 1 + 2*s + 3*s - 14*s.\nAnswer: 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from mgyhgjmy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8572 * 3.\nAnswer: 2.5716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/(-24) - (-101)\/(-18) and (174\/(-8))\/(210\/(-80)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 12*n - 31. Calculate the remainder when 19 is divided by m(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 y, and 1 u when three letters picked without replacement from ahuuhuuuy.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-31\/3)\/(((c\/(c\/((c\/c**(-4\/13))\/c))*c)\/c)\/c))**(-24))**(-11\/5))**(-41) assuming c is positive.\nAnswer: c**(1356608\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 901, 914, 925, 934, 941?\n\"Answer: -w**2 + 16*w + 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1469564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 10:54 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311440, 622878, 934316, 1245754?\nAnswer: 1557192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*k = 553*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29.11 + 29. Let y = 3039 + -3043. What is the closest to o in 4, 1\/2, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-16))\/((-4)\/32). Let b be (-908)\/20 - x\/(-5). What are the prime factors of (8\/10)\/((-9)\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53518.94t to micrograms.\nAnswer: 53518940000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d**2 - 271*d**2 - 399*d**2.\nAnswer: -697*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 57, 97, 139, 183, 229, 277?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1175 from -2729.\nAnswer: -2729.1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z. Let c(y) be the second derivative of -7*y**4\/12 - 3*y. Determine c(b(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15056790 is divided by 359.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 1 + 5*h + 3. Let d(y) = 7*y + 8. Let m(b) = 3*d(b) - 5*w(b). Let r be m(0). Is r at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w**3 + 13*w**2 + 13*w + 16. Let p be c(-5). Let n = -778 + p. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m - 14. Let u = -50 + 174. Calculate the remainder when u is divided by c(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9777675 to the power of 1\/2, to the nearest integer?\nAnswer: 3127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 89*w + 503. Let r be q(6). Let o = -0.1 - -0.3. Let k = 0 - o. Sort k, r, 0.5.\nAnswer: k, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -4*t + 90*r - 93*r, 2*r = -4*t + 130. Calculate the lowest common multiple of t and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21285 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w = 0. What is the remainder when 4*(-3)\/6 - (-385)\/35 is divided by (1 + -7)\/(w + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, 0.5, 2036?\nAnswer: 2036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*b + 2414 = -2301, -b - 4735 = 5*t. Let j = -504 - t. List the prime factors of j.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -478*o + 69375. Give v(141).\nAnswer: 1977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5 - 126*a**4 + 240*a**3 + 6*a**2 - 243*a + 120.\nAnswer: 3*(a - 40)*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1627450 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -5*r**2\/2 + 41*r + 2076. Determine h(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -208698 + 296146. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 17*z + 2403. Let l = -229 - z. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 28*f**3 - 21*f**2 + 21. Suppose 9 = -3*s, -14*s + 12*s = -4*b + 90. Let g(j) = -7*j**3 + 5*j**2 - 5. Calculate b*g(k) + 5*i(k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 307312 - 307312.00000128243. Round v to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmml. What is prob of sequence ml?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**4\/4 - o**3\/3 + 2*o**2. Let m(i) = -4*i + 4*i - i. What is 3*m(s) - y(s)?\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 20*j - 2546 = 2662. List the prime factors of j.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 6*r + 2 + 0 + 0*r**2. Suppose 0 = 2*m + 7 + 3. Is d(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1157552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113699 = 4*n + 3*v, 4*n - 85115 = -2*v + 28583. Suppose -17*z + n = 2*z. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 21 = -3*l. Suppose 4*q = -q. Solve q = -c + 2 - l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*o - 0*o + 2*b, -4 = b. Suppose -12 = x - 4*h, o = 2*x + h + h - 16. Solve x*f = 3*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 184 * 7557.\nAnswer: 1390488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 926560492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331586168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 2119766532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106198.\nAnswer: 2, 29, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -103 - ((-6 + 6 - 14) + 10 - (7 - 0))\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.172524 millilitres to litres.\nAnswer: 0.004172524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 11:30 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -616*s**3 + 611*s**2. Determine c(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*i + 100*i + 2*f = 174, 2*i = -2*f + 88. Suppose -3*w - 9 - 15 = -4*o, 31 = 5*o - 4*w. Suppose 3*p - 4 = 7*p, -o*r = 2*p - i. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4246672 is divided by 1415557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4 - 5. Let c = 6009 + -6006. What is the second derivative of 10*a**u + 24*a**c - 15*a**3 + a wrt a?\nAnswer: 114*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 39*a**2 + 3*a - 44. Calculate o(39).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqqq when four letters picked without replacement from {x: 6, q: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2) + (sqrt(2) - sqrt(14)\/(sqrt(28) - sqrt(7)))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/45 - 139100\/3852\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 5, -40219, -1, 4\/3, 31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/15 + 4762*r**4\/15 + 80552*r**3\/15 + 138784*r**2\/5 + 226944*r\/5 = 0. What is r?\nAnswer: -2364, -9, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**3*v**3 - 15*m**3*v**2 - 39*m**3*v + 2*m**3 + 1474*m*v**3 + 85*m*v**2 + 2*m wrt v.\nAnswer: 24*m**3 + 8844*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*u**2 - 29*u + 13*u + 16*u.\nAnswer: -262*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 2, l: 2, c: 1, f: 2}. What is prob of picking 2 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - 5) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, f: 5, w: 8, s: 2, y: 2}. What is prob of picking 1 f, 2 y, and 1 o?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 6 = 3*t. Let l = 15 - t. Calculate the greatest common divisor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 274? (a) 0.5 (b) -11 (c) -3\/2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*-4*1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4852 and 201736.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*o**3 + 5*o**3 - 33*o**3 + o**3.\nAnswer: -63*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a**4\/a*a))*a*a\/(a**(-1)*a*a)*a**(1\/9)*a*a\/a**(-3\/7)*a)**(-11))**7 assuming a is positive.\nAnswer: a**(-6611\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + j)*(19*j**3 - 15*j + 1 - j + 18*j) to c*j + o*j**3 + w + b*j**2 + r*j**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a hour in minutes?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 108*j + 16128 = 0. What is the least common multiple of j and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-8)*(1 - 140\/40). What is the third biggest value in -0.2, 1, b, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, b: 1}. Give prob of sequence vv.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, t: 5, a: 5}. What is prob of picking 2 a?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35366*q**4 + 3*q**2 - 4879.\nAnswer: 848784*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8.8, 5\/3, 1\/2, 0.3 in ascending order.\nAnswer: -8.8, -5, 0.3, 1\/2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9*6\/16\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 12:51 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011846 rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from vvdvddddvdvdvv.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + 728*k - 728*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - s = 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbn when three letters picked without replacement from {w: 4, b: 4, n: 3, e: 9}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4892200 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/16 and (-3)\/27*261\/(-12).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.436 and -0.3.\nAnswer: -0.1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 71731236 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -210 + 3?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -5, -8, -51, -158?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-27)\/(w**(-19)\/w)*(w**(-12)\/w)\/(w*w*w**(-7)) assuming w is positive.\nAnswer: w**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/(r*r\/(r\/(r*r**(-2\/3)))))\/r*r)\/r)**(1\/11))**(-5\/13))**(-49) assuming r is positive.\nAnswer: r**(-980\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 - 3*v**2 + 28389 + 13*v - 28385 - 2*v**4 + 3*v**2 in the form w*v**3 + z*v**2 + b + o*v + c*v**4 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**11*x**5*x**11*x\/(x\/(x*x**(1\/4)*x*x*x))*x assuming x is positive.\nAnswer: x**(129\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -60\/6779, -18, 0.1?\nAnswer: -60\/6779","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (126\/28)\/(3\/4). Suppose 5*y + g = 66, -5*y + 34 = -2*y - 5*g. Let c = -8 + y. Solve c*t = w + k - 1, 4*t + 25 = -5*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 2*y**2 - 3*y - 4. Let l(k) = 180*k**3 + 8*k**2 + 13*k + 16. Calculate -l(b) - 4*o(b).\nAnswer: -184*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248140336.\nAnswer: 2, 15508771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-6)\/54) + 1 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = -25*r - 155 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27077.742 months?\nAnswer: 2256.4785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 - -84. What is the hundreds digit of (-752)\/j + 14\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - (-32 + -11) - -15 - -42.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3)*-1 + -1 - (sqrt(3)*2 + 1)) + 0.\nAnswer: -15*sqrt(3) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-9 - -2)*(0 - -1). Suppose t*c - 6 = 8. Solve -n = -3 + c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33394165.89999885 + -33394185.9. Let r = o - -20. What is r rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.512 - 15. Let r = j - 2.5. Round r to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, d: 3, q: 4}. Give prob of sequence wqd.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 14 = -1. Suppose 2*s = z*d + 80, -s - 5*d + 0*d = -25. What is the third derivative of 31*l**2 - l**5 - 13*l**2 + 13*l**5 - s*l**2 wrt l?\nAnswer: 720*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795010221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2210 - (0 + (6 - 18)). Is u >= -2198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - ((-2460)\/4)\/(-5). Let g = m - -216. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**4 + 1720280*q**3 + 6880985*q**2 - 18922830*q + 10321560 = 0.\nAnswer: -344052, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.5, 120, 6 in decreasing order.\nAnswer: 120, 8.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/17, 1, -3, -0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 21, 110, 3, -8, -3 in decreasing order.\nAnswer: 110, 21, 3, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-56)\/7 - (-2552)\/154)\/1 - 8. Factor -t - 2\/7*r + 4\/7*r**2 + 2\/7*r**3.\nAnswer: 2*(r - 1)*(r + 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5054*m + 36577. Give b(8).\nAnswer: -3855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**5\/4 - 267*v**4\/4 + 2409*v**3\/4 - 2901*v**2\/4 - 3528*v - 2133 = 0. Calculate v.\nAnswer: -1, 6, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = b + 2*b. What is the remainder when 26 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2089 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/2016 and -169\/252?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**3*y**2 + 4*h**3 + 2*h**2*y**2 - 6*h + 7*y**2 wrt y?\nAnswer: -4*h**3*y + 4*h**2*y + 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c**2 + 5*c + 4. Let v be z(-3). Let h be (-14)\/4*48\/v. Is (-1)\/h - 610\/(-30) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3\/5 + 13458*a**2\/5 - 3744963*a\/5 + 3731508\/5 = 0. Calculate a.\nAnswer: 1, 297, 4188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -331511530?\nAnswer: 331511522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293565, -293542, -293519?\nAnswer: -293496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -43. Let v = 38 - n. Let d = v - 15. Calculate the greatest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 796 and 1288.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 12*w**3 + 410*w**2 + 66*w + 8. Calculate s(-34).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 (base 8) in base 5?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2302000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5572.47ns?\nAnswer: 0.00557247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - z = 0, -169*o + 165*o - z - 3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6912\/(-5760)*(-10)\/(-36)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 2*h**2 + 5*h - 18. Let o be l(7). Let y be (-494)\/o - (-1)\/(-6). Sort y, -3, 5 in decreasing order.\nAnswer: 5, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731468889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.61 from -35669576.\nAnswer: -35669568.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 11646 = -924. What is the tens digit of 3\/((-21)\/l*478 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -310168, -310167, -310166, -310165, -310164?\n\"Answer: j - 310169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50\/3 + 17. Is -1 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*h + 3*h. Suppose 0 = -x - h*x. Suppose 36 = -x*j + 3*j. Solve q + 3*n - 8 = 0, n - j = 2*q - 0*n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**6\/3 + 5*x**3\/3 - 21*x. Find the second derivative of w(k) wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 - (58 - 30 - 17)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 11*w**2 - 6*w - 27. Calculate the remainder when x(-11) is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 * 22\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -235*c - 1642. Let l be f(-7). Let k(o) = -6*o - 15. Let r be k(-8). Solve -8*h + r = l*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2377.0000021 + -2377. Round h to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/88 and 77\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407 - 3*v**2 + 18*v**2 - 407.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4886406 by -11718.\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162 + -136 - ((15 - 8) + -25)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let p(r) = 863*r**2 - r + 1. What is b(p(z))?\nAnswer: 863*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + -79.4. Let d = 1 + -0.8. Which is the third smallest value? (a) d (b) x (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-3) + 1 - -22. What is s rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -4*v**3\/3 + 30*v**2 + 64*v - 1121. What is x in l(x) = 0?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1129*a - 1843*a - 2009*a + 5*a - a - 2*a + (-a + 0*a + 3*a)*(-2 - 1 + 1) + 1 + a - 1 - 3*a - 3*a + 2*a to p*a + b and give p.\nAnswer: -2728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 2*s - 1. Let k be m(3). Let g(z) = 3941*z - 63056. Let h be g(16). Solve h = 5*t - k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 843152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-100)*((-48)\/(-9) - 4). Which is the smallest value? (a) q (b) -69 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-20))\/(20\/(-66)) + -8.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*p + 5*x - 1, 0 = -2*p - 3*x + 18. Let o(u) = -u**3 + 4*u**2 + 8*u - 6. Let d be o(5). Suppose p*r - d = -0. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 4, 2 in descending order.\nAnswer: 4, 2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 1:46 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/5))**24\/(o**(2\/11)\/(o\/(o*o*o**(-6\/5)))))**(-44) assuming o is positive.\nAnswer: o**(-4228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2091 and 27999?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 1. Let b be j(2). Let s(w) be the third derivative of -1\/12*w**4 + 0*w + 0 - 40*w**2 + 0*w**3. Give s(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494887\/46 > 10757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 + 3*s + 1. Suppose -3*n + 21 = 5*t - 7*t, 2*t + 1 = -n. Let m be a(t). Let z = -24 - m. What is the smallest common multiple of z and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.009, -2\/15, 23, -38 in descending order.\nAnswer: 23, -0.009, -2\/15, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*c + 108. What is the greatest common divisor of 39 and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.56869 meters?\nAnswer: 356.869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 78586378 from 9123.\nAnswer: -78577255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.44716375 to two decimal places.\nAnswer: -1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*t**4 + 3970*t**3 - 662*t**2.\nAnswer: 2*t**2*(t + 331)*(6*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -154, -153, -152?\n\"Answer: d - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 19*m**3 + 4*m**2 + 7*m. Let k(y) = 9*y**3 + 2*y**2 + 4*y. Determine 6*a(h) - 11*k(h).\nAnswer: 15*h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(612)*1)**2*-5 + -1.\nAnswer: -3081 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -219 + -1?\nAnswer: -21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1312?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218223 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**4 - 581*j**3 + 305?\nAnswer: 4*j**3 - 1743*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1588 and -290.\nAnswer: 460520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/4 + 1256\/16. Let o be (-2)\/(-6) + 118\/6. Calculate the greatest common factor of o and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.4 (b) 0 (c) 36563\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 260682427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -119*c**2 - 2*c - 2. Let s be b(-2). Let p be s\/(-45)*114\/4. Let v = 299 - p. What is the common denominator of v and -38\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-52)\/9 + (-22)\/99. What is the units digit of (j\/(-8))\/(4\/16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v**3 - 68*v + 66*v + v**4 - v**2 - 2*v**3 in the form x + j*v**4 + a*v + z*v**3 + r*v**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4*-6*(-6)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 413 + -219. Suppose -4*u + 0*o + 257 = 5*o, -5*o = 3*u - c. Calculate the remainder when u is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-7)*(-38)\/10716*-94.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n*n**(-9))\/n)\/n*n**(1\/7)\/n)**(-36))**(1\/3))**(2\/85) assuming n is positive.\nAnswer: n**(1824\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -544*v. Let f(n) = 2*n. Determine r(f(o)).\nAnswer: -1088*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 10\/90 - (-369944)\/9 - (1 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-5 + 3*sqrt(200))**2 + sqrt(200) - (sqrt(200) - (2 + sqrt(200) + -1)**2))*-1 + -1).\nAnswer: -1120*sqrt(2) + 8108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17579, -2, 163.\nAnswer: -2, 163, 17579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + -3 + 1)\/((-6)\/(-30)). What is the greatest common factor of w and 2055?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2040 divided by 170\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/4))**(5\/2))**(-23) assuming g is positive.\nAnswer: g**(-115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-150)\/(-4))\/((-3)\/6). Let d = p - -521\/7. Suppose 55 = 7*i + 13. Which is the closest to -0.1? (a) d (b) -3\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**3 + 147044 - 4*i**3 - 147044.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -9.137984?\nAnswer: 45.68992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10850420761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.9 + -20. Which is the nearest to -1? (a) -5 (b) -2\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5281000 to the nearest one hundred thousand.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i - 2 + 2)*(i**2 + 39 - 39)*(-2*i + 4*i - 4*i).\nAnswer: 20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 252, 251, 250, 249, 248, 247?\n\"Answer: -k + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3211010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33526823?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 11 = 3*o + 18, -3*x - 3 = 0. Let d be o + 2\/(0 - 2). Let a = d - -88. List the prime factors of a.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -155*s + 78*s - 54 + 78*s + 54. Let u(o) be the first derivative of -5*o**3\/3 + 15*o**2 - 6. Determine u(c(n)).\nAnswer: -5*n**2 + 30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1 + 4\/5). Suppose -11*i + 50 = 14*i. Suppose r - 2 = q*m, -r + m + 3*m + i = 0. Solve -3*c + r*c + j + 1 = 0, -5*j - 5 = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b2 - -34?\nAnswer: -27d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(648) - ((sqrt(648) - (sqrt(648) + -1*sqrt(648) + sqrt(648)) - sqrt(648)) + sqrt(648))) + (-1 + sqrt(28) + -4)**2.\nAnswer: -179*sqrt(7)\/9 + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyj. What is prob of sequence ujy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2 + 6*o + 4. Suppose 377 = b + 327. Suppose -b = -8*x - 34. Let m(g) = -g + 7. Let l be m(0). Let a(z) = z**2 - 2*z - 1. Give l*a(s) + x*u(s).\nAnswer: s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-12)*(f**(-21)\/f)\/f)\/(f*f**(2\/5))**(-46))**(-15) assuming f is positive.\nAnswer: f**(-456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 + 4*f**2 + f + 4. Let q be z(6). What is the units digit of (2 - 5)\/(-12)*-2*q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 225*g**2 - 24*g - 25. Let y be f(-1). What is the greatest common factor of y and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25775244 (base 9) in base 2?\nAnswer: 110000011001001110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 48324*i - 10679599. Give x(221).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-12))\/(6\/24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((10\/4)\/5)\/(25\/20). Let t = 1649.1 + -1649. Which is the closest to k? (a) -2\/91 (b) 2\/19 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 292, -4, -1, -2, -7, 5 in descending order.\nAnswer: 292, 5, -1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:29 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 6, 120179?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -706 (base 8) to base 11.\nAnswer: -383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2411*t**2\/2 - 55452*t - 46 = 0 for t.\nAnswer: -2\/2411, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(56) + sqrt(56))\/sqrt(7))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34270191045 + 34270190600.00000201. Let d = 445 + y. Round d to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - a = -276 - 222, a - 6 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/(3*(sqrt(8) + sqrt(288))))\/(sqrt(250) + -1*sqrt(250) + sqrt(250) - 3*sqrt(90)).\nAnswer: -sqrt(5)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124887 and 116109.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1872) + -2) - (-4*(1 + sqrt(1872)))**2) + -4.\nAnswer: -29970 - 396*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21260 = -j - 32*z + 28*z, 63780 = 3*j - 4*z. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 7 = s, 7*s - 17 = 2*b + 10*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 - 3 = 5*h, -4*h + 4 = 2*q. Suppose -5*w + 36 = -q*w. Let k be (-1)\/(-4) + (-9)\/w. Solve -5 - k = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 3*y - 2. Let b be g(-3). Find the common denominator of (b\/(-3))\/(8\/189) and 17\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-12)*2\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34372165 - -3?\nAnswer: -34372162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 4*y = 15. Suppose 3*x - 3960 + 14262 = 3*r, y*x - 13727 = -4*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**4 + n**4 - 4*n**4)*(4202 + 1752 - 1532).\nAnswer: -8844*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - h = -0*a - 1, a + 2 = -2*h. Suppose 2*n = v + a*n - 54, -3*n = -4*v + 238. Is v a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 481145*c**2 - 481076*c**2 + 1.\nAnswer: 69*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 858.3299 nanoseconds?\nAnswer: 0.0008583299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 720935.1m in micrometers?\nAnswer: 720935100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 5, 2\/5, 0.5, 1\/37?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 216551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28758370809 - 12*z**2 - 28758370809.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200001101132 - -1?\nAnswer: -200001101131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2411\/265 + -16\/53. What is the common denominator of (-1341)\/8046 + ((-829)\/750 - -1) and r?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 301\/(-504) + 2\/9. Let u = 0.52 + -0.62. Which is the nearest to j? (a) 0.3 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 7:57 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 24*i**2 + 1101*i + 6493. Give w(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-4)*89\/(-2937)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuunwvwvgnuwunvnwnnn. What is prob of picking 1 u, 2 n, and 1 v?\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -23. Suppose 118*r + m = 121*r. Suppose 0 = -3*y + 4*d + 32, -4*y - 1 + 29 = r*d. Calculate the least common multiple of 2 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43*h**3 - h**3 - 36*h**2 - 17*h - 37*h - 3*h**4 + 12*h + 39.\nAnswer: -3*(h - 13)*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d. Let y(a) = -a**2 - 4*a - 6. Let r(x) = 2*x**2 + 7*x + 14. Let o(w) = 4*r(w) + 7*y(w). What is o(b(k))?\nAnswer: 4*k**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from {a: 2, l: 6, z: 7}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2679 and 33020461?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) 1\/11 (b) 3\/113 (c) 2 (d) 0.00119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/(-304) - 24\/(-228))*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 137, 207, 277, 347?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5923, -46701, -157225, -372373, -727023?\nAnswer: -1256053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -6, -15, -38, -81, -150, -251, -390?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -231429*w*z**3 - 2*w*z + 7*w - 2093*z wrt z?\nAnswer: -1388574*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(68) + (2*sqrt(68))**2 + sqrt(68) - ((2*sqrt(1088))**2 + sqrt(17))))*-5.\nAnswer: -15*sqrt(17) + 20380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 5*b**2 - b - 3. Let v = -49 + 46. Let m(f) = -2*f**3 + 6*f**2 + 2*f + 4. Calculate v*m(a) - 4*h(a).\nAnswer: 2*a**3 + 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2808, -6480, -10846, -15906, -21660, -28108, -35250?\n\"Answer: -347*f**2 - 2631*f + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 3:48 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 12) in base 2?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3\/7 + 127520*z**2\/7 + 2032541274*z\/7 - 4065592644\/7 = 0?\nAnswer: -31881, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13525 (base 9) to base 15\nAnswer: -2abb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-13 - 3) - (4 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-23)\/((g\/g**(-28)*g)\/g)*g**(9\/11)*g*g*g**10*g assuming g is positive.\nAnswer: g**(-420\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-16) + 7\/(-2))*1. Put a, 8, 17 in ascending order.\nAnswer: a, 8, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 26. Let r be ((-10)\/(-25))\/(2\/320). Let y be (5 - r\/11) + 2\/k. Which is greater: y or -10\/19?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 401\/810 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, 84, 2756 in decreasing order.\nAnswer: 2756, 84, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51*y - 1155*y**2 + 1155*y**2 - 25*y**4 - 42*y**4)*(-1 + 0 + 2) in the form c + x*y**2 + n*y**3 + j*y + d*y**4 and give j.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -23 - -5) + -4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2 - 5*y. Let w(p) = -13*p**2 - 20*p + 1. Let k(x) = 9*a(x) - 2*w(x). Calculate k(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 39*o**2 - 1 - 4*o + 61*o**2 - 28*o**2 in the form k + w*o**2 + v*o and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -11*q**2 + 45*q + 14. Let c(z) = -7*z**2 + 30*z + 9. What is -8*c(f) + 5*h(f)?\nAnswer: f**2 - 15*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (711\/12)\/(12\/32) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-784)\/21)\/(-8)*(-6)\/(-14). Solve -5*m + 40 = -5*x, 0 = -d*m + 8*x - 3*x + 28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q + 20. Let z = 3 - -2. Suppose -q*j + 70 = 5*u, 0*u + z*u - 25 = 0. Solve j - 1 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, 18, 5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/339 and -149\/30?\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 - 4)*(-2 + 2 + 1)*(-43*w - 46*w + 60*w) + 0*w + w + w + 0*w + 0*w - 2*w + (1 + 3 - 2)*(-1 + 1 - 2*w) + 0*w - w + 0*w.\nAnswer: -179*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/4)*l*l*l**(-2\/3)*l*l*(l\/(l\/(l**3*l*l*l)))\/l*l**(-6) assuming l is positive.\nAnswer: l**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 1. Let t(x) = 5*x. What is t(z(g))?\nAnswer: -10*g - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*k + 5*k + 24*k + (2 + 1 - 1)*(2*k - 2*k - 2*k) + 3*k + 0*k - 6*k + (2*k + 1 - 1)*(3 + 2 - 7) - k - 1 + 1 - 4*k - 2 + 2.\nAnswer: 44*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*l = 594*l + 1616 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5617530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2147991.\nAnswer: 3, 641, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -291.\nAnswer: -8\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 940 = 1671*f - 1673*f, 12 = f. Suppose -5*m + 83 = 28. Calculate the remainder when y is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, j: 4, i: 4}. Give prob of sequence iiii.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 5 - 5) + -16 - -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/336 + (-130)\/(-312)*(-12)\/(-40)\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3447 and 46726?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than 26\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*q + 64 = 133*q. Let j(s) = -46*s - 20. List the prime factors of j(q).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -563 divided by -10?\nAnswer: 563\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 254, 253, 252?\n\"Answer: -y + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 24620.\nAnswer: -1\/4924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*3\/(-18)*-15. Suppose 0 = -v*t + 4 + 46. Suppose -692 = -t*p + 68. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -136999\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 7:40 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-35)\/2*((-6)\/3 + -6). Suppose 2*h = 3*z - 5*z + y, 0 = -2*h + 2*z + 132. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (7 - (27 + (2 - 10))) + -11?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5))**(2\/67)\/(((g*g**8\/g*g)\/g*g)\/((g*g**(-4))\/g)) assuming g is positive.\nAnswer: g**(-4351\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -7. Let o = 0.2 + 0. Put o, f, 0.4 in descending order.\nAnswer: f, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - 112*t - 1149. Calculate n(46).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 5:38 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -6*n - 34. Is 26\/53 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, -0.5, -3 in decreasing order.\nAnswer: -0.5, -3, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x. Suppose -4*j = -3*c - 7*j + 21, -4*c + 5*j = -37. Suppose -20 + c = -4*s. Let m(n) = -n**2 - s*n**2 + n**2. Calculate m(v(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let u(i) = -i**2. Let o(h) = 4*h**2 + 359645 + 0*h - 179823 - 179820 + 0*h. What is z*o(m) + 2*u(m)?\nAnswer: 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 13. Let q be p(-32). Suppose -39 = -q*o + 6*o. Which is smaller: 0.25 or o?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5606111 - 5606090.000132. Let k = 813 - 834. Let x = k + c. Round x to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 8*t**2 + 8*t + 23. Let n be u(6). Let h(m) be the first derivative of -16*m**2 + 3*m - 1. Is 4 a factor of h(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1557*(88\/(-12) - -7).\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + x - 25, 0 = 5*x - 6 - 19. Suppose -v = c*b - 12, -5*v = 2*b - 10*v - 6. What is the remainder when -4 + 5 + 0 + 3 - -6 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 51*l - 39. Give f(-25).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 0 + 1\/6*n**4 + 0*n**3 - 11\/10*n**5 + 7*n**2 + 0*n. Determine o, given that i(o) = 0.\nAnswer: 0, 2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjj when three letters picked without replacement from qqjqjq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9493?\nAnswer: 11, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*o - 59*o + 3*o**2)*(3*o - 3*o + 6*o) + o - 2*o**3 + 2*o**3 - o**3.\nAnswer: 17*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3343481842.\nAnswer: 2, 1671740921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**3\/9 - 43*v**2\/3 - 208*v - 4821. Solve n(s) = 0.\nAnswer: -78, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-8 + 6 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 4 = 4*n. Find the second derivative of -3*s - 4*s**2 - n*s - 8*s + 10*s**2 wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/40 - 3\/(-72). Let q = -0.4 + 0. What is the nearest to 2\/3 in q, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/36 + 7436\/468. Solve 3*a + 3*p = -11 - 13, -3*a + v = -5*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, a: 2}. What is prob of picking 3 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3269 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12323929 and 86043?\nAnswer: 1072181823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 - 65. Which is smaller: -4\/7 or v?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*x + 87*x - 538200 = 0. What is x rounded to the nearest one thousand?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/1 + 2 + 28. Let g be (-2)\/(-11) + (630\/165 - -3). Let j be -2 + g + -44*(-9)\/18. Which is bigger: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b + 5*b - 45*b + 12*b + 16*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17836 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.34 + 0.06. Let j = -5526425\/189 + 29241. Let q = 10\/27 - j. Put 0.5, q, d in descending order.\nAnswer: 0.5, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 + 126550*b - 126550*b.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9885, -2, 2, 5, -1 in decreasing order.\nAnswer: 9885, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 558 divided by 20\nAnswer: 279\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-66)\/44)\/((-3)\/(-2792))*1. Let w = m + 2441. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16430744, 16430748, 16430752, 16430756, 16430760?\nAnswer: 16430764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmffmtvmcvvmnvmfvmcv. What is prob of picking 1 v and 3 f?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 7:04 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46.61 - -0.61. Let n = 35.9 + o. Round n to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6188971 or 68078673\/11?\nAnswer: 68078673\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -1.1, -2\/7, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.89 - -0.11. Let f be (-4)\/(-6)*-3 - 3. Let d be (-20)\/72 - -1*3\/6. Sort p, f, d in ascending order.\nAnswer: f, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 41*j + 6389*j**2 - 12790*j**2 + j**3 + 6401*j**2 + 0*j**3.\nAnswer: 2*j**3 - 41*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2 (b) 0.5 (c) 2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 182 = 14*a. What is the remainder when 6 is divided by -1 - -2 - 12\/(a + -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -11 + -14 - (4 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**2 + 16*b**2 + 172*b**3 - 173*b**3 + 28*b**2.\nAnswer: -b**3 + 59*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739\/10 greater than 275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 h, 1 l, and 1 v when four letters picked without replacement from lyqhllylqhyvyllvlvvy.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.64 + -0.29. Let k = x - 0.21. What is k rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2492\/12*3\/22. Let d = -75\/11 + h. Find the common denominator of 51\/13 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -397244*h**2*o - 3576*h*o + 26*o + 3 wrt h?\nAnswer: -794488*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + i + 3 + 13 = 0, v - 3*i = -7. Suppose 3*o - 7 = -v*l + 3, 2*o = 4*l - 8. Let u(t) = -t + 145. Is u(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m + 0 = 58 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.017 - 0.017. Which is smaller: w or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3103229 less than 707012?\nAnswer: 707011.6896771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(8\/5) - 3\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 6. Let d(p) = p + 5. Let n(u) = -6*d(u) - 5*y(u). Let h(w) be the third derivative of w**5\/15 - 11*w**2. Calculate n(h(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (440 + (-5)\/(15\/9))*-1. Let a = 1587 - p. Suppose -5*f + c + 11588 = 0, 4*c = 2*f - 2622 - a. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03480462802 rounded to six decimal places?\nAnswer: 0.034805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00160261 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times -5382274?\nAnswer: -91498658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*j + 8*j - 47 = -269 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344283 to the power of 1\/2, to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/36887 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2988 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -7*k**3 - 2. Let j be d(-2). Does 21 divide (11 - 11) + j\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uequqequulkf. Give prob of picking 1 e, 1 f, 1 k, and 1 q.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 10023100 to the nearest 100000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5320\/29381 - -2\/2671. Let d = 27 + -29. Which is the closest to d? (a) 1 (b) n (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.216 and -2.\nAnswer: -1.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2619648 is divided by 1254.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 5 (c) -4 (d) -21 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/6)\/2 - (-23384)\/222 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 25. Sort 0, -5, g, 3 in decreasing order.\nAnswer: g, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 10:40 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 5, m: 1, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6436, 30536, 70712, 126970, 199316, 287756, 392296?\n\"Answer: a**3 + 8032*a**2 - 3*a - 1594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:31 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1912347 and 2584.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2495?\nAnswer: 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 307283, 614572, 921847, 1229102, 1536331?\n\"Answer: -l**3 - l**2 + 307299*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1000000111110010011001 (base 2) to base 9\nAnswer: 4004450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318638412?\nAnswer: 2, 3, 17, 23, 22637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*a*x**4 + 4*a*x**3 + a - 2*x**4 - 32*x**2 wrt x.\nAnswer: 192*a*x + 24*a - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.191 + -2.565. Let x = w - 0.244. Put 1, -3, -2, x in ascending order.\nAnswer: x, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 53, 218, 497, 890?\n\"Answer: 57*v**2 - 6*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 0 + 2 + 0*w**2 + w**2 - 6*w. Let p(q) = 7*q**2 + 2*q + 1. Let g be p(-1). Give y(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2600*l + 1. Let d(g) = -51*g. What is k(d(t))?\nAnswer: -132600*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.34 + -0.16. Let j = -375940 - -375930.50102. Let n = b - j. What is n rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 646*s - 657795. Give r(-550).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, -111, 1116?\nAnswer: 1116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**3*p**2 - 2*m**3*p - 598346*m**3 - 6*m**2*p**2 + 6*m*p + 3183*p**2 wrt m?\nAnswer: 30*p**2 - 12*p - 3590076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**5\/15 - s**4\/2 + 80*s**3\/3 - 16*s**2 - 13*s. Factor q(t).\nAnswer: -4*(t - 5)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 + 191 = 3*x. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 271988.657 + -271950.6570046. Let s = 38.81 + -0.81. Let h = q - s. Round h to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 12 = -4*m, -3*m = o + 13 + 3. Let d(u) = -u - 5. Let b be d(-7). What is the third biggest value in m, b, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1711\/(-261))\/((-1)\/(-3)) and 40\/453?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 1. What is the tens digit of p(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 585005323?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 2667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 18.2. Let w = 18.0071002726 + -0.0070997126. Let m = w + u. What is m rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124408931*l**4 - l**2 - 3*l + 98220053?\nAnswer: -1492907172*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 18*s**2 - 3*s - 25. Let h be k(-18). Let i be (177 - h) + -4*(1 - 2). Calculate the highest common factor of 38 and i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -248376379 + -6?\nAnswer: -248376385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*a**4*w - 6*a**4 + 117*a**3*w**3 - 9*a**2 + 2*a*w + 281*w**3 - 2*w + 7 wrt a.\nAnswer: 2112*a*w - 144*a + 702*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*w - 250*w + 936 = -639*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196935 - 393936 - 3*y + 197003.\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 15 = -5*g, 0 = 4*g + q + q + 20. Let x = g + 9. Suppose -x*f = -2*k + 28, 26 = 4*k + 5*f - 48. Calculate the remainder when 46 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551 divided by -9856?\nAnswer: -551\/9856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5425.2*8.\nAnswer: 43401.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1186314*j**2 + 1137667?\nAnswer: 2372628*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37400 and 25230040?\nAnswer: 126150200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 14132120?\nAnswer: 14132122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1404*g**5*v**2 + 2*g**3*v**2 - 299*g*v**2 + v**2 + 2 wrt g.\nAnswer: -28080*g**3*v**2 + 12*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10305716.\nAnswer: 2, 2576429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 2*u - 12. Let y(m) = -m**2 + m - 13. Let p(n) = -5*j(n) + 4*y(n). Factor p(k).\nAnswer: (k - 4)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 9:14 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*b + 7*b + 20*b)*(-22 + 86 - 22 + 4189*b - 20 - 24) to g*b + l + n*b**2 and give n.\nAnswer: 67024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r + 55 = -7. Let n(b) be the first derivative of 0*b**r - 8\/3*b**3 + 5 + 0*b - b**4. Find h, given that n(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-14)\/5 - 1)\/((-632)\/474)*10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5040*v**2 - 163*v + 161. Determine m(1).\nAnswer: -5042","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/16)\/(-5))\/(7\/(-35)*(-70)\/(-14)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1935*y - 964*y + 2970*y.\nAnswer: 71*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(192) + -1 + 5 + (sqrt(192) - (1 + sqrt(192) + 1)) + (sqrt(192) + -1)*2 + -2)**2.\nAnswer: -144*sqrt(3) + 1737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -12, 105, 368, 831, 1548, 2573?\nAnswer: 3960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -979 + 985. Suppose x*p = 14 + 22. Solve -15 = -7*k + p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.047 in -1\/2, -0.8, 0.5, -0.09, -58?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = 0, 5*g = h + 4*h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 + 10*m**2 + 35*m + 153. Calculate c(8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 - 2*w**2 + 0*w**2 - w**2 + 5*w**2 + 0*w**2 + (3 - 2 - 2)*(-w**2 + 4*w**2 - 5*w**2) + 0 + w**2 + 0 - w**2 + w - w - 3*w**2 + 2*w**2 + 0*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + h**2 - 7*h + 7. Let d be f(2). Solve d*o - 2 = c - 0*o, -3*o = -3*c - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -988 and -4070.\nAnswer: 4021160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 409 + -447. Which is smaller: u or -17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 174*h + 782. What is the remainder when 18844 is divided by i(91)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 + 158 = -8*j. Let o(x) = -33*x**2 + 6*x. Let q(f) = -11*f**2 + 2*f. What is j*o(y) + 8*q(y)?\nAnswer: 11*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 0*c - 52*c**2 - 35*c**2 - 195 + 101*c**2 as g*c**2 + r + a*c and give r.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -40*w + 14 + 3*w + 18*w. Is v(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1297622 divided by -6?\nAnswer: -648811\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t)\/(t\/(t**(-2\/21)*t)) assuming t is positive.\nAnswer: t**(145\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147199 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 2 + 10. Let v = -2 - 0. Let f = v - y. Solve f*s + 11 = 5*s - 5*x, -2*x = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49.5 + 9.5. Let q = 34.9 + k. Let j = q + 5. Sort -3, j, -2 in decreasing order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - sqrt(132)*-2 - sqrt(132) - sqrt(132)) + sqrt(33))\/sqrt(3) + 0.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721396129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154792*-0.0627.\nAnswer: 9705.4584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.8 in 0.2, 4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258142793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278 divided by -4.\nAnswer: -139\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 943968, 1887945, 2831936, 3775947, 4719984, 5664053, 6608160, 7552311?\n\"Answer: x**3 + x**2 + 943967*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*v + 145*v + v - 13464. Calculate the remainder when v is divided by 45.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2. Let a be (-1 - 3) + (-510)\/(-5). Let j(m) = 37 + 48*m - a*m + 51*m. Give q(j(s)).\nAnswer: -s**2 - 74*s - 1369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 77*l - 82*l. Let h be 1058\/(-18) + (-4)\/l. Let r = h - -42. Do -20 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 78*z**2 - 771*z + 22. Give h(10).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 7 = -18. Solve 0 = 6*t - t + 5*j + 20, 0 = -p*t + 2*j - 27 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/18 - (8 - 2420\/315)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 10. Let p = -7 - -7.5. What is the nearest to 1 in 0.1, m, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2572059 divided by 367437.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -42. Let m = -9 - -9.6. Let u = 1 - m. Which is the smallest value? (a) u (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1190?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8512*w - 840 = -8652*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7*k + 2*k = 9, -4*f - 2 = 3*k. Let j(i) = 1 + f + i - 3. Let m(u) = -49*u - 195. Let d be m(-4). What is j(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/168*6\/15*-4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.97423 + 0.17033. Let q = 0.03 + 0.77. Let y = q + j. Round y to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69048818?\nAnswer: 2, 3947, 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 * -85.\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 + 9 + 2268*r**2 + 2*r**3 - 2268*r**2.\nAnswer: 3*r**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -8081420\nAnswer: -3\/8081420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 332 + -156. Suppose 0 = 11*y - f. Suppose -y*b + 8*b + 24 = 0. Solve -b = 4*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-15) + (((-360)\/(-18))\/20)\/(30\/(-214))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -591496 + 0.2394.\nAnswer: -591495.7606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 14 + -23 + (22 - 13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13681135.925 - 13681143.565000357. Let q = a - -7.64. What is q rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 8\/(-5))*275\/165. Let o = 3.9 + -0.9. Which is the second smallest value? (a) o (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y + 4. Let c = 255 + -257. What is b(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256674572 and 2029048?\nAnswer: 513349144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.27 - 3.269396. What is f rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7 - q**2 + 2*q**2 - 4. Suppose 3*u + 117 = 5*o, -3*u + 122 = 5*o - u. Let l = o + -21. Let j(y) = 1. Give l*j(d) - f(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.97 - -2.1. Which is the biggest value? (a) -5\/4 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 4, 3 in ascending order.\nAnswer: 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1312 - -864. Let y = j + 276. Round y to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((0 + sqrt(539) - sqrt(539)) + 5)**2 + -1 - (0 + (1*sqrt(539) + sqrt(539))**2 + (-1 + (-1 + sqrt(539) - sqrt(539)) - sqrt(539)))).\nAnswer: -2127 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-129)\/(-18) - 7) + (-8)\/(96\/54)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-44)\/5)\/((-12)\/30). Let p = m + 88. Let n(v) = -v**3 - 5*v**2 - 2*v. Let g be n(-5). Calculate the highest common divisor of g and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 6*h**2 - 4*h + 2. Let u be i(7). Suppose -q - u = -0*c - 3*c, -c - 4*q + 12 = 0. Does 5 divide (25 + -27)*(-2)\/(c\/66)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 102\/30 + 2\/(-5). Suppose -20 = b*j - 8*j. Suppose 43 = y - 4*s, 3*s + 93 = -y + j*y. What is the remainder when y is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/23)*c**5\/c*c*c assuming c is positive.\nAnswer: c**(140\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*l = -74*l + 42 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -208, -215, -236, -277, -344?\n\"Answer: -d**3 - d**2 + 3*d - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - 191. Let l(w) = 5*w**2. What is d(l(i))?\nAnswer: -50*i**4 - 191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71376 and 1016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 13439 = 2316*a - 58361, a + 131 = 5*l + 142 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*g + 10 = 0, -5*g - 14 = -4*q + 2*q. What is the nearest to 0 in -4, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 418.8 - 419. What is the closest to l in -19\/7, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssqqsqqqqosssqssqssq. What is prob of sequence ss?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1314, -2641, -3974, -5319, -6682?\n\"Answer: -z**3 + 3*z**2 - 1329*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, l: 2, d: 2}. Give prob of sequence dds.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 8:20 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*k + 4*a, 4*k + 3*a = -a - 4. Does 7 divide (6*2 - -1) + k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -318 + 795. Calculate the remainder when o is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13723 + -7736. Round d to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/229 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + 1\/(-4 + (-7)\/(-2)). Let a(f) = -f**2 - 8*f + 26. List the prime factors of a(x).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-81722)\/8)\/(-2 + (-14)\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20339, 40947, 61823, 82967, 104379, 126059?\n\"Answer: 134*y**2 + 20206*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -10*(-4)\/(-6)*(-78420)\/80.\nAnswer: 5, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2))**(-5\/13))**(-13))**(-5\/3) assuming p is positive.\nAnswer: p**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + (0 - 0))*(6997\/3 - 6). Calculate the highest common divisor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -332403355579.\nAnswer: 332403355572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216826.\nAnswer: 2, 108413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1664*-661248\nAnswer: 1100316672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*w + 10 = 0, -5*h + 63*w = 59*w - 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 4*g - 8. Let a be i(-5). Let q = a + 15. Let c be (q\/10)\/(9\/(-108)). Is -3 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3404 divided by -14461.\nAnswer: -3404\/14461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, a: 10}. Give prob of picking 1 m and 1 a.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 o when four letters picked without replacement from jjdojdoooddod?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 335*n - 340*n - 35, -22 = 2*n + 4*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + -7)\/2 + 20305\/131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -40, -4, -0.2 in decreasing order.\nAnswer: 0, -0.2, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51426 is divided by 465.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 324214558 to the power of 1\/2, to the nearest integer?\nAnswer: 18006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/77 and 85\/63.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122121132 - 10131?\nAnswer: -122131323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62 or 121\/2?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345889 divided by -4.\nAnswer: -345889\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 4. Let l = 5 + q. Solve -5*a = l - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 6*t + 57. Suppose 8*u + 38 = 78. Let v(r) = -r**2 + 4*r - 38. Give u*x(l) + 8*v(l).\nAnswer: 2*l**2 + 2*l - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387617 is divided by 32298.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3204 - 53?\nAnswer: 3151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -240, -343, -268, 111?\nAnswer: 920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -133?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.7 + -13. Let x = 0.1 - q. Let f = -0.5 - x. What is the second biggest value in 2\/5, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (1*sqrt(297))\/(sqrt(495)\/sqrt(5)))**2 + -4)*6.\nAnswer: 60*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 67 + 221. Suppose 5*t + z = y, -5*t + 79 + 3 = y. What is the greatest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 3*d + 1. Let v be k(-2). Let -h**2 + 3*h**2 + 4*h + v*h**3 - h + 4*h**2 = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/11 - 400*o**3\/11 + 1576*o**2\/11 - 1568*o\/11 = 0. Calculate o.\nAnswer: 0, 2, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + 2 + -142 + 119?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*t + 25. Let o be (-2)\/(-9) + (-9 - 4584\/(-27)). Let b(z) = 0*z - 4*z + 156 - o + 2*z. Calculate b(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (98\/56)\/(518\/16) - (-12736)\/(-148)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/39411 < -17570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11, -27, -75, -173, -339, -591, -947, -1425?\n\"Answer: -3*c**3 + 2*c**2 - c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a**(3\/7)*a*a)\/a)\/a)\/(a*(a\/(a*a**(-1\/5)))\/a)*a**(1\/4)*a*a*a\/(a*a**(3\/4)))**(2\/9) assuming a is positive.\nAnswer: a**(191\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0\/n)**(-3\/4))**42\/(n**0\/((n*(n**(1\/5)\/n*n)\/n)\/n)*n**(-1\/3)*n*n**(-4)*n) assuming n is positive.\nAnswer: n**(991\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/16*2\/6. Let s = 4 + -4. Suppose -4*f + 0*f - 4 = s. Which is bigger: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o**2 + 2*o - 2. Let j(p) = -11*p**2 - 3*p + 3. Calculate 5*j(m) + 8*w(m).\nAnswer: m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2443271*f**3 + 7*f**2 - 2443269*f**3 - 2220 - 7*f**2.\nAnswer: 2*f**3 - 2220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 224\/(-1680) + 64\/185 - 4\/(-74)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2320\/9 - -258. Sort h, 2, -14, -1 in decreasing order.\nAnswer: 2, h, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-18)*14\/315*-6.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6738677\/114 + -59112. Find the common denominator of 31\/66 and y.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15412609087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 45 = 5*n, -32*n + 31*n - 10 = 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1910, -3819, -5728?\nAnswer: -7637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140757?\nAnswer: 3, 46919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -d - 35. Is -1 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**0*c*c**(-2)*c)\/((c**7\/c*c)\/((c*c\/(c\/(c\/((((c*c**(-1\/2))\/c)\/c*c)\/c)*c))*c)\/c)))\/(c**0\/(c**(-5)\/c)*c**0*c**(2\/9)) assuming c is positive.\nAnswer: c**(-139\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c - 35*c + 8 = 0. Solve 0 = -4*g + c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v**2 - 52*v + 32. Determine z(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(85) - 3*((sqrt(85) - (sqrt(85)*1 + sqrt(85))) + sqrt(85)))\/(2*2*sqrt(5)))*-4.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22502 or -22802?\nAnswer: -22802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*y + 2*y. Let d be (-1329)\/(-11) + (-8)\/(-44). Let o = -117 + d. Solve o*p - 4*u + 5 = 1, 0 = 2*u + y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let l be f(-6). Suppose -5*s - 3*n + 0*n = -29, 3*n + l = 0. Suppose -2*v = -21 + s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10690?\nAnswer: 2, 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -8*r - 3. Which is the nearest to -1? (a) 0.4 (b) 0 (c) r (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 - 16 = 5*c. Let r be 2\/c + 1608\/14. Suppose 0 = 2*u - 59 - r. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 11:06 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(20\/(-736)) + 1\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 3*a**2. Let v be y(-3). Suppose 5*w = -3*g + 136, v*w - 2*g + 108 = 4*w. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 29*h + 8 = -25*h, 25 = -5*v + 5*h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5 - 4132*s**4 - 2860560*s**3 - 673807100*s**2 - 7071220750*s.\nAnswer: -2*s*(s + 11)*(s + 685)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 913\/2 - 444. Find the common denominator of k and 1\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 14*x**2 + 140*x + 875. Give m(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7998 is divided by 1333.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*o - 1 + (-2 - 2 + 3)*(2*o + o - o) + 8 - 2*o - 2 + 3*o in the form f + v*o and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.52? (a) 154706 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (453\/604)\/((-3)\/8*47)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 4*s + 35. Let k be x(7). Suppose 10 = 8*v - k. What is the derivative of 46 - 8*y**2 + v*y**2 - 16 wrt y?\nAnswer: -10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2*x + 6 = 0, -3*m + 3 = -383*x + 378*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - x = 43 - 14, 4*d - 49 = 5*x. Let z(g) = 3 + 3 - d - g. Let t(a) = a**2 + 3*a + 1. Let h be (3 + 0 + -2)*(-6)\/3. Determine h*t(w) - 5*z(w).\nAnswer: -2*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1377659?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22430016 (base 7) to base 2\nAnswer: -111011101101111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3404853, 0.3, -5 in descending order.\nAnswer: 3404853, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2015 or -21\/8?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 30786?\nAnswer: 30786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -1\/2, 0.4, -4\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 1, u: 1, l: 2}. What is prob of picking 1 u, 1 b, 1 x, and 1 l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279786?\nAnswer: 2, 3, 13, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m + 7*m - 16*m - 58 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000384246989 to seven decimal places.\nAnswer: -0.0003842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = a - 5*a. Does 10 divide -3*(224\/(-6))\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-11 - -5) + 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(168\/32)\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i\/((i\/i**(-9)*i*i)\/i))\/i*i\/(i**(6\/13)\/i))\/(i**12)**(2\/11) assuming i is positive.\nAnswer: i**(-1379\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1018 is divided by 339.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**2 + 2*l + 3. What is the hundreds digit of r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 4. Suppose -2 + s = -c. Let a = 11 + c. Calculate the highest common divisor of 27 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1\/7, -1.5, 4 in decreasing order.\nAnswer: 9, 4, 1\/7, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*j = -2, 3 = 5*b - 2*b + 3*j. Find the third derivative of 8*f**2 - 21747*f**6 + 21760*f**6 - 3*f**5 + b*f**2 wrt f.\nAnswer: 1560*f**3 - 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = h + 5. Find the second derivative of -89*s**h + 470*s**2 - 221*s - 238*s**2 - 232*s**2 wrt s.\nAnswer: -1068*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (21 - 19)\/((-1)\/((-10694)\/4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from {m: 1, u: 1, k: 1, n: 1, r: 2, c: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5586659211 to the power of 1\/2, to the nearest integer?\nAnswer: 74744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 3161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from ycysyscssysssscc?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 319804643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 i when three letters picked without replacement from iiiiiiiiijj.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*c - 4*c - 329*c - 309*c - 155*c - 2.\nAnswer: -762*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*i - 753, -5*i + 761 = -3*v - 494. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4225283*h**5 + 4951451*h**2?\nAnswer: -253516980*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 16. Let u be j(-11). Suppose 9 = 3*i - 2*o, 13 + 1 = u*i - 3*o. Solve 3 = 2*k - i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 11446992?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -51045 (base 7) to base 8\nAnswer: -30135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 - 1570*n**2\/9 - 308896*n\/9 - 307328\/9.\nAnswer: -2*(n + 1)*(n + 392)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 6*d**2 + 9*d + 1. Suppose 4*k + 0*k = u + 31, -4*k - u + 25 = 0. What is the tens digit of z(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-17)\/r)\/(r*r\/r**(-24)*r) assuming r is positive.\nAnswer: r**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3908774903?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*m - 134*m = -126. Suppose m*b - 4935 = 6*b. Calculate the highest common divisor of b and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 307974762?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -149*d**4\/12 + 2767*d**2. Let j(f) = 4*f**2. Give j(m(k)).\nAnswer: 355216*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r + l = 0, -3*r = -3*l + 6. Solve 0 = v - r*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 640?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - 2*s - s + (1 - 1 - 2)*(0*s + 0*s + s) + (-s - 3*s + 2*s)*(2 - 3 + 4)*(161 - 252 + 145)*(0 - 2 + 4) to r*s + z and give r.\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137 - -28. What is the greatest common divisor of 33 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 40 = -5*l, 11*l = 15*l + 5*c - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 - -98. Suppose -10 = -b - f. Sort -5, -30, b in decreasing order.\nAnswer: b, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 3*v**2 + 2*v**2)*(v - 15 - 8 - 10).\nAnswer: -v**3 + 33*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 16 = -4. Let d(y) be the second derivative of -y**5\/20 + y**4\/3 - y**3\/6 + 2*y**2 - y. Let f be d(4). Sort u, 3, f in descending order.\nAnswer: 3, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44588605 rounded to the nearest 100000?\nAnswer: 44600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4774?\nAnswer: 2, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8.2 + -1.2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316*n + 310*n = -900. Which is bigger: n or 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((1 + sqrt(117))**2 - sqrt(117)) + sqrt(117))*1*-6 + (1*-4*sqrt(13) + sqrt(13) - (3*sqrt(117))\/sqrt(9)).\nAnswer: -710 - 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46393.\nAnswer: 17, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14624411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 0*l + 0*l + 9 - 9*l - 5*l**2 - 7*l + l**3. Let k be f(7). Which is the nearest to -8? (a) -0.1 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*p - 56, -2*d - p - 11 = -143. Suppose -d + 4 = -4*m. Let k = m + -9. Calculate the remainder when 20 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*(-6*sqrt(3744)*2 + sqrt(3744)))\/((sqrt(8) - (sqrt(8) - sqrt(1152)*-2))\/(-2*-1*sqrt(4))).\nAnswer: -4 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 321 + -208. Calculate the remainder when s is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93815363?\nAnswer: 93815363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 1094.5 + -1094.7. Are -66\/17 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 + 2) - (-14 - -25)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 57*l**2 + 3*l + 4 - 58*l**2. Let p be o(5). Suppose 276 + 104 = p*z. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180\/7*g**2 + 3\/7*g**5 - 33\/7*g**3 + 0 + 300\/7*g - 18\/7*g**4 = 0 for g.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*3\/81)\/(-1)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 2 + 15*a - 3*a**3 + 5*a**3 - 14*a as i + w*a**3 + c*a + t*a**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.4 + 2.6. Let z = -11.2 + y. What is the closest to 2\/9 in 0, -0.1, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 959207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**6\/80 - f**4\/16 + f**2\/2 + 2. Let s(t) be the second derivative of o(t). Let s(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 11*p**2 + 13*p + 12. Let n be k(-12). Suppose n = -v + 84 - 75. What is the remainder when -2*(-1 + (-33)\/2) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695961 to the power of 1\/2, to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 + 380*f**2 - 14153*f - 14534 = 0 for f.\nAnswer: -1, 43, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 3*q**2 - 3*q + 3. Let o be y(-3). Let s be o - (1 + -3 + -1). What is the highest common factor of 120 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 44*w - 37*w. Calculate the remainder when 105 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3180 + -3117. Let i(z) = 15*z + 4. Let s be i(4). Let g = s - f. Solve -j + g = 5, 2*j = 4*t + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/14 and 53\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117))**2 + -4 + -1)*3.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -5*u**4\/4 + 5*u**3 + 15*u**2 - 40*u + 875. Factor h(i).\nAnswer: -5*(i - 4)*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 2 = 18*s. What are the prime factors of 0 + 9 + -2 + s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549 = 73*a - 82*a. What is the highest common divisor of 61 and a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -609812 divided by -406.\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 197505210 a multiple of 4857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77816648 + 42728008. Let y = c + -2652492457\/22. Let l = -23188 - y. Find the common denominator of 1\/18 and l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 110*g - 113*g - 26 + 5.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 bigger than -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 614 divide 266556846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5 - 11 - (-1911 - (0 + -1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/7)\/w)**(-4)*(w**(-26)\/w)\/(w*w**31*w) assuming w is positive.\nAnswer: w**(-404\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1476 + 2639. Let t = p + -1163.523. Round t to two dps.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 945 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1180 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1114 - -1113.7. Which is the third biggest value? (a) 0.08 (b) o (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43698 take away 21?\nAnswer: -20.56302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 36831901 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -6*f**2 + 10*f - 4. Let g(i) = -2*i**2 + 3*i - 1. Suppose -2*c + 5*c = 9. What is c*u(w) - 10*g(w)?\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -491? (a) 0 (b) 3\/2 (c) 6 (d) -288\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010693\/11 at least as big as -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 149095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 31412 = -4*b + 6*b, 4*w - 31404 = 4*b. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3718324, -3718325, -3718326, -3718327, -3718328?\n\"Answer: -n - 3718323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = -4*w. Suppose 2*i + 4 + 10 = -2*x, w*i + 11 = -5*x. Let m = i + 15. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + -176?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.3 (b) -1\/4 (c) -37 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 243132 + -5?\nAnswer: 243123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, s: 6, p: 3, r: 1, l: 3}. What is prob of sequence ls?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 7.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1101.3 + -257855030.\nAnswer: -257853928.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 + 12 = 3*r, -4*r = -4. Let b be 9 + l + (-1 - -4). Let i = 2158 - 2148. Solve -i = 4*z + b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-4) + -3 - (-448)\/1280?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**3 - 10*n**2 + 7*n - 3. Let x(g) = -6*g**3 - 15*g**2 + 10*g - 5. Calculate 5*x(i) - 8*z(i).\nAnswer: 2*i**3 + 5*i**2 - 6*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 11:43 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (159\/(-212))\/(3*(-1)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j - 1 - 3*j)*(2 + 0 - 1).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(3\/4)\/k)\/k)\/k)\/(k*k*k**0))\/(((k**(-16)\/k)\/k)\/k*k**(2\/11)\/k) assuming k is positive.\nAnswer: k**(685\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32740135149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11f (base 16) to base 9\nAnswer: -348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/2 + (-45)\/(-20). What is the second biggest value in i, -11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((6 - 1) + (33 - 61) + 30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -793*k + 799*k = -42 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 69*m + 416. Let b be p(7). What is the third derivative of 252*z**2 - b*z**6 + 586*z**6 + 331*z**6 + 276*z**6 wrt z?\nAnswer: 35280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1285109028?\nAnswer: 2, 3, 7, 193, 26423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -3*p + 4*u, 4*p + 0*p + 2*u = -116. Let z be (p*4)\/(5\/(-10)). Let c = z + -15. What is the greatest common factor of c and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 4:19 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:47 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**8\/42 - 19*s**4\/24 + 8*s**2. What is the second derivative of f(l) wrt l?\nAnswer: -160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, 1045, 2352, 4181, 6532, 9405?\nAnswer: 12800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e42 + 400?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -4*z - 1\/6*z**4 + 0*z**2 + 0 + 0*z**3. Let j(y) = -4*y**2. Calculate t(j(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12 - 155\/15)*6\/(-26). Which is the nearest to 1? (a) -0.1 (b) z (c) -5\/6 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 10:09 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 322724324 a multiple of 3562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 - 115*o**3 - 245*o**2 - 125*o.\nAnswer: 5*o*(o - 25)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -113*v**3 - 5*v**2 - 5*v + 30. Let b(n) = -57*n**3 - 3*n**2 - 3*n + 14. Determine 5*b(k) - 3*z(k).\nAnswer: 54*k**3 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21525 + 21521. Sort -8, -725, u in descending order.\nAnswer: u, -8, -725","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f*p**5 + 2652*f*p**2 + 1062*p**5 - 2*p**2 wrt p?\nAnswer: 60*f*p**2 + 63720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3561952842 and 14367?\nAnswer: 14367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1924\/111)\/(((-10)\/3)\/(-5)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.766 + 0.939. Let z = m + -22. Let b = z - -0.24. Round b to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*y**3 + 148?\nAnswer: -33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + s - 13, -3*a = -6*a - s - 17. Let m(i) = 4*i + 21. Let j be m(a). Let v(q) = -552*q + 1. Is v(j) 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 11:38 PM and 11:47 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 546469812\nAnswer: -546469805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 48*b + 3. What is a(-1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46.91 - 47. Let o = b - -0.19. Is o > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 43*r + 98. Is t(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -7\/3 (c) 0 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2 = 2*h, g - 2*g - 5*h = -12. Suppose 5*a + g = 12. Find the third derivative of -n**6 - 3*n**5 + 2*n**6 - 5*n**a + 3*n**5 wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13273836355 - 138*o - 47*o - 13273836355.\nAnswer: -185*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -31.4. Let r = -0.02 + 0.14. Let j = -0.02 + r. What is the nearest to j in -1, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y + o - 9, 0 = -y + 2*o + 3. Suppose -3*r = 0, -4*r = -w - y*w + 72. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425492 is divided by 1216?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41580*l - 41559*l = 44730. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2240 - 15677\/7. What is the third biggest value in -2, x, 2\/11, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 2*k + 0*k + 5*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 9:12 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 2, 4, 39\/2.\nAnswer: -17, 2, 4, 39\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1259.9 + 1239. Let d = -2.97 - -0.07. Let g = d - j. Is g < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - i. Suppose 2*b = -i*b + 134. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -234.8, -2\/11, 5\/3, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2 + l**3 + 0*l - 2 + 8*l - 2*l**3. Let z be o(6). Suppose -2*q + z = k, k + 23 = q - 0*k. Does 23 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y - 15 = 0. Suppose -4*s + 2*o + 20 = -0*s, -y*s - o + 11 = 0. Solve -4*q + q + 24 = s*c, -c - 4*q + 20 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 568730 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3594 or -3595?\nAnswer: -3595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**4\/4 + 8*q**3\/3 - 4*q**2 + 9*q - 45. Let y(c) = -c**3 - 8*c**2 + c. Let i be y(-8). Does 9 divide j(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -9. Let d(w) = -w**2 - 3*w + 3. Let p be d(s). Suppose -2*b + 54 = -2*o, 0 = -5*o - p*b - 99 - 44. What is o rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1224520 and 5326662.\nAnswer: 106533240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 168414.8l in millilitres?\nAnswer: 168414800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 8 - 62*s + 73*s to b + g*s and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 32 = -0*n + 4*n, -v - 22 = 3*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63649\/22 + -2890. What is the common denominator of j and 63\/60 + (1 - 1)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 421978, 421984, 421990?\nAnswer: 421996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 + 405\/4. Let p = -11884 + 297138\/25. What is the common denominator of p and w?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 12*u**2 - u + 16. Let l be n(12). What is the greatest common factor of l and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 20*t**2. Let m = -592 - -901. Let x(r) = 309 - r**2 - m. Calculate x(i(s)).\nAnswer: -400*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 9*y**2 + 6*y - 12. Calculate c(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60075 and 1350.\nAnswer: 120150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69914443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 25791 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2495633 (base 11) to base 14\nAnswer: -808a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7710 divided by 5.\nAnswer: -1542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*l + 3*p = -98*l - 2, -6 = 3*l + 3*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2085937734?\nAnswer: 2, 3, 31, 11214719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 333 and 14208.\nAnswer: 42624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, y: 10}. What is prob of sequence yy?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 2*s**2 - 4*s + 0 - 2\/3*s**3. What is the first derivative of y(c) wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-27)*2*-9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3 + 2796*w**2 - 271318*w - 274116 = 0. Calculate w.\nAnswer: -1, 106, 1293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*b**3*o**3*z + 3*b**3*o**2*z**2 - 405*b**3*o**2*z - 2*b**2*z - 2222*b*o**3*z**2 - b*o**2*z**2 + 2*o*z**2 + 4 wrt o?\nAnswer: -426*b**3*z - 13332*b*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 494.3843s in nanoseconds?\nAnswer: 494384300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {s: 4, p: 3, q: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/2 >= 0.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60205 = 3049*m - 35537 + 23988 + 45863 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aan when three letters picked without replacement from annnnannnnnann.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1855616 divided by 4142.\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97397441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/11 - -1\/44. Let r = 12 + 17. Let j = 28.6 - r. Which is the closest to 2? (a) 1 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48)\/80*25\/(-10)*(-77180)\/(-3). What is z rounded to the nearest one thousand?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167, -5, 3, 0, -35, -7.\nAnswer: -167, -35, -7, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**5\/2 - i**3\/6 + 872*i**2. Let a(j) = 17*j**2. What is a(u(f))?\nAnswer: 15300*f**4 + 1020*f**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26\/5 of a meter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + -6b7d72?\nAnswer: -6b7d65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*y. Suppose -4*i + 5*i = y. Suppose 2*z + 3*l + l = 88, 5*z + 2*l - 252 = i. What is the greatest common divisor of z and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71264 - 47025. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16678213 times 0.2\nAnswer: 3335642.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27176707203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7910 + -520. Let v = -13756279 - -302800761\/22. Let m = v - z. What is the common denominator of m and -57\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:28 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2305212?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 13*m**2 + 6*m - 21. Let b(f) = f**3 + 6*f**2 - 2*f - 1. Let h be b(-6). Is w(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -122226*h**3*p**2 + 2*h**3*p + 4473*h**3 + 573*h - 12*p**2 with respect to p.\nAnswer: -244452*h**3*p + 2*h**3 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k = -33*k + 250 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8355185 rounded to two decimal places?\nAnswer: -1.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615738 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(6) + sqrt(384)) + sqrt(385)\/(sqrt(448) - sqrt(7)))\/(5*sqrt(720)*3*2).\nAnswer: 2*sqrt(11)\/2835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 - 809*l + 58075. What is c(59)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2046 divided by 227\nAnswer: -2046\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 - 3 = 0. Suppose -f*j - 1 = -3*j. Let p(y) = y - 3. Let b be p(5). Which is smaller: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49064 divided by 8?\nAnswer: 6133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*w - 111. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3417 = -4*l, 50*l + 10278 = 3*v + 53*l. What are the prime factors of v?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - w - 3. Let m be o(3). Suppose m*g - 4*z - 17 = -0, -5*g - 5*z + 40 = 0. What is the second derivative of 3 - 2 + g*l - 1 - 20*l**4 wrt l?\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25740 divided by 5148\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 11*m**5 - 23*m**2 - 2*m - 60. Find the second derivative of i(y) wrt y.\nAnswer: 660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7592.61 rounded to the nearest one hundred?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 7*c**2 - c + 7. Let d be u(7). Suppose 6*o - o + 10 = d. Calculate the remainder when -2 - (-3 - o) - -6 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8659720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 h, and 1 c when three letters picked without replacement from {z: 1, c: 4, h: 2, w: 2, v: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Let o = 21460\/7 - 3058. What is the common denominator of o and (v\/6)\/((-1)\/13)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.538 and -5.\nAnswer: -7.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - w + 3 = 0, -8*w + 3*w = 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10416846 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 1:59 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 906 (b) -0.02 (c) -25 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/((-784)\/(-42)) - (1 - 1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1296 divided by 4?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-2)\/(-7) - 374\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y - 15. Let o be l(5). Suppose 3*f = c, o = -0*f - f - c. Suppose f = -5*p - 4*d + 638, -4*p = -9*p + d + 653. What are the prime factors of p?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.83 + 0.27. Let d = 2 + -1.9. Let p = d - y. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3383779\/6304280 - 1\/46355. What is the common denominator of -37\/153 and d?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 + 5357*s**2\/2 - 1062359*s + 1059680.\nAnswer: (s - 370)*(s - 1)*(s + 5728)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 - 0.3. Let x = 1 + t. Let i be (-2)\/(-5)*(-2)\/2. Which is the nearest to i? (a) x (b) -4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 n, and 1 f when three letters picked without replacement from {n: 6, f: 3, l: 4, o: 1}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37851762.\nAnswer: 2, 3, 13, 19, 25541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3 + 12 = 0. Suppose -n - z*n = -4. Solve v + v + 12 = -4*c, -c - n = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(6\/(-10)) - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*j**3*s - 2*j**3 + 4*j**2*s**2 - 12*j*s**2 wrt j?\nAnswer: -36*j*s - 12*j + 8*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 580 + -13.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24\/13 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 e, and 1 g when three letters picked without replacement from hgdeddpgdphgge?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 160*m**6 + m**2 - 414*m + 182. Find the second derivative of z(v) wrt v.\nAnswer: 19200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8627 divided by -4?\nAnswer: -8627\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 76*v - 4470. What is i(70)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*l + 15 = 0, -j - 2*l + 10 = -3*j. Suppose -3*p + 3 = j, -2*w + p + 0 = 7. Are -38\/15 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -7\/8*u**3 + 3\/16*u**4 - 2*u**2 - 1 + 1\/80*u**5 + 0*u. Determine r, given that j(r) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7683.042 rounded to the nearest 100?\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/7 + 10*r - 56 = 0. What is r?\nAnswer: 7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184943 is divided by 20545?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 6. Suppose -q*x = -3*x + 40. Let b be (-48)\/x*25\/20*2. Calculate the highest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 9.3612942s?\nAnswer: 0.0001083483125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 5 + 4 - 175207*w.\nAnswer: -175207*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5917?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/160*40\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*t**2 + j**2 + 817*j*t**3 - 59*j*t - 2*j wrt t.\nAnswer: -2*j**2 + 4902*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -3*y - 24. Suppose 14 = 3*b + m, -5*b - 3*m + 22 + y = 0. Solve 2*c - 7 = -g, -6*g = -b*g - 2*c - 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 0*j + 3 + 0*j**2 + 1\/5*j**3. Determine q, given that s(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (0 - (-36 - -1)). Suppose 4*v - 3*f = o, -2*f - 42 = -4*v - 10. What is the least common multiple of v and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18072 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*t**3 - 2 - 2 + 14*t**3 to g*t + f + h*t**3 + n*t**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 8. Let y be 6\/8 + 2 + b. Sort y, -3\/5, -3 in descending order.\nAnswer: y, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -74*f + 19*f**2 + 74*f + (-2*f + 0*f + 4*f)*(f - 5*f + 5*f).\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -595*b**4\/3 - 870*b**3 - 4*b + 57. What is the second derivative of u(q) wrt q?\nAnswer: -4760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2*s = 20, -a + 40 = -73*s + 77*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-4*3\/(-2))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0 (c) -7.3 (d) 0.59 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 6*c - 3*c + 403, -5*c = 3*o - 633. Suppose -5*v - o = -l, 5*v + 0*l + 202 = 2*l. Let q be 114\/21 + (-24)\/v. Solve -2*w + q*w = -4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(45\/25 + (-12)\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let f be j(-1). Let r be f*(-1 + -15)*1. Let d = 162235 + -162235. Which is the closest to r? (a) d (b) 3\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*v + 3*j - 6 = -60*v + 2*j - 0, -2*j + 6*j = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) + (-62)\/8. Let d(s) be the first derivative of -s**2\/2 - 6*s + 3. Let p be d(k). Solve -5*t - 7 = p*c, 3*t + 4*c - 1 = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.001 or 51?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 46. Suppose 408 = 4*w + 4*b, 0*w - l*b - 334 = -3*w. Is 26 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 14*t + 23*t. What is the highest common divisor of t and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -44*v. Let d(t) = -7*t**2. Determine f(d(g)).\nAnswer: 308*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -11*m - 67936*m**2 + 57 - 11*m - 21648*m**2 - 165. Let l be k(-6). What is l rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 5*m - 191 = -186, -3*q - m - 5 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3574\/7 or 9\/65?\nAnswer: -3574\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 1.058?\nAnswer: 1.058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*v + 2 + 1, 0 = -c - 4*v + 21. Let h(f) = -3*f + 3*f - 1 - f. Let o(u) = -3*u - 2. Let j(i) = -10*h(i) + 4*o(i). What is j(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 10:17 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + 864. What is o(25)?\nAnswer: 914","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 115, -2 in descending order.\nAnswer: 115, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8918?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 353*c**4\/4 + 23*c**3\/3 + 2*c + 209. Find the second derivative of i(u) wrt u.\nAnswer: 2118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 2:38 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 0 - (-117)\/63. Put 0.5, 0.1, a in descending order.\nAnswer: 0.5, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.076 times 3.094\nAnswer: -0.235144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 2*p - 11*p. Let o be (p\/(-12)*-3)\/(-1 + 0). What is the remainder when 1 - 258\/o*(-4)\/(-6) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/4*(-4)\/(-22) - 1. Let r = 1\/33 + t. Sort r, -3, 6.\nAnswer: -3, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 10*j + 25. Let q be y(7). Factor 4*o**3 + 19*o**5 + 10*o**5 + q*o**4 - 33*o**5 - 4*o**2.\nAnswer: -4*o**2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(112\/35) - (-2)\/(-4). Let l be 4\/((-1 - 0) + 3). Suppose 5*j - 30 = 5*p, 0*p = -3*p - 6. Solve l*b - a = -j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - 48. Calculate the remainder when i is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 4:04 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7548653 is divided by 1699.\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -16417.474 to the nearest 100.\nAnswer: -16400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1155 and -0.44?\nAnswer: -0.05082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727*p + 2240*p - 760*p - 755*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(78) - (sqrt(78) + -2*sqrt(78))))\/sqrt(6) + -1)**2.\nAnswer: -20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/6*39\/(-2). Let n be q\/7 - 2\/7. Let j = -3.9 - -4. What is the closest to j in -0.2, n, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 - 19977*x**3 - 33266697*x**2 - 33246723*x.\nAnswer: -3*x*(x + 1)*(x + 3329)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 35\/819591?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80904?\nAnswer: 2, 3, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-2)*8\/(-4). Let b = f - 2. Let v be 3 + (-7 - -3) + 4. Solve -b = v*h + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -16. Let b be 1\/(s + -3)*0. Let m = 510.2 - 510. What is the closest to b in m, 5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 4*u**2 - u - 2. Let z(i) = -5*i + 54. Suppose -49*n - 4 = -51*n. Suppose -3*g + 36 = g + b, 3*b = -g - n. Let m be z(g). Determine d(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 15*l**2 + 14*l + 4. Let b be g(14). Is (-5 + b)*(1 - 746) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -15*d - 1. Let p be h(-1). Let g be (-7)\/(p\/(-4)) + -1. Let a be (g*-25)\/(25\/(-66900)). Round a to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-85)\/(-20) - 2) + (-39118)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + k = -12. Suppose 29 = -3*i + b + k, -3*b - 29 = 4*i. Let m = i - -12. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + -35. Let y = -36 - g. Suppose -4*m + y*l + 39 = -26, 3*m + l - 65 = 0. What is the highest common divisor of 30 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26+-3414715\nAnswer: -3414715.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3998?\nAnswer: 2, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffuffffffffff. Give prob of picking 2 f.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*f**2 - 5 - 3*f + 5 - 2*f**4 + 6*f**2 to the form d + k*f + r*f**2 + b*f**4 + h*f**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g - 4*g - 3*g)*(1 + 2 - 5)*(757 - 225 + 473)*(-5*g**2 + g**2 + 3*g**2) to t*g**2 + f*g + m*g**3 + d and give m.\nAnswer: -4020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 77 = -1. Let j = c - 12. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.5 (b) 0.9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/(-63))\/9 + (-10)\/(-14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, r: 4, w: 9}. Give prob of picking 1 w and 1 r.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**5 - 30405*d**4 - 212990*d**3 - 547820*d**2 - 608760*d - 243520 = 0.\nAnswer: -2, -1, 6088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -16670?\nAnswer: -2\/8335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1 = 9. Suppose 4*q + f - 24 = 0. Let s(g) = g**2 - g + 6. What is the tens digit of s(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjwjjjwj. What is prob of sequence jwj?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10081 - 10073. Put -53, 5, f, -4 in ascending order.\nAnswer: -53, -4, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114 - -14) + (-421 - -513).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*j - 859266 = 187*j - 101*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 907502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -26 + (-11)\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-27))\/(1\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Let y be 1*-10*2\/(-5). Let v be (6\/8)\/((-5)\/(-20)). Let h(m) = -8*m - v*m + y*m. Calculate h(r(l)).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 8*b = 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -13*x**8\/840 - 3*x**4\/8 + 9*x**3 + 7. Let r(g) be the third derivative of u(g). Differentiate r(n) with respect to n.\nAnswer: -104*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 6*m**2 + 4*m - 3. Let u be t(-5). Is u\/(-4)*3236\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*(3 + sqrt(1584)))**2*-3 + -1.\nAnswer: -43276 - 2808*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 10*t + 6 - 86*t - 6. What is the units digit of l(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 5*g**2 - 5*g + 5. Let u be s(4). Let x = u - 3. Calculate the smallest common multiple of -4*x\/(-10)*-10 and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (0 + -4 + 11 - (-58 + 70)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548192954 + 2005*a + 548192954.\nAnswer: 2005*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 + 1. Let r(j) = -37*j**3 + 6*j**2 - 1. Determine r(d) + x(d).\nAnswer: -37*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*f - 2*f - 95 = 0, 4*f + 115 = -3*k. Let c = 35 + k. Suppose 5*u - c*s + 6*s - 45 = 0, 62 = 4*u - 2*s. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9937488, 0, 4 in ascending order.\nAnswer: 0, 4, 9937488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.5. Let o = -36 - -126. Let n = 93 - o. Which is the second smallest value? (a) n (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 9*z - 25 = 0. Let p be (-3)\/((15\/(-63))\/z). Let x = 76 + p. What is the remainder when 37 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-8))\/w)**(10\/9) assuming w is positive.\nAnswer: w**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-6*2*sqrt(187) + sqrt(187) - sqrt(187))\/(sqrt(44)\/sqrt(4)*-3))**2.\nAnswer: 16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 7*y**2 - y - 24. Determine r(8).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8697584 and 3160?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f + 159 + 102 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 136111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12566.083 and 1?\nAnswer: -12566.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtortborobbotr. Give prob of picking 3 r.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 16*h**2 - 28*h + 7. Let m be c(14). Solve m*s + 8 = 29 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t + 5 = 22*t. Let a(g) = 2*g - 15. Let i be a(10). Let u(y) = t*y + y + i*y - 4*y. Calculate u(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14954, 14995, 15036, 15077?\n\"Answer: 41*t + 14913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-18 - (21 + -37))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116612086 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 9) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 82 - 12 = 0. Let w = f + -3. What is the second derivative of -w + 32 + 7*j**2 - 13*j wrt j?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 525 and 181545.\nAnswer: 907725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1788 is divided by 88?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/((-20)\/(-15)) - -1451. Suppose 2458 + j = 6*x. Does 31 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -7.4?\nAnswer: 103.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*(-260)\/800 + 4. Factor 0 + 0*r + 3\/10*r**2 - 1\/5*r**3 - l*r**4.\nAnswer: -r**2*(r - 1)*(r + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 - -63. Which is smaller: v or -5\/16?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 5a06?\nAnswer: 5a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4\/3 + 56*m**3\/3 - 276*m**2 + 1008*m - 1152 = 0. What is m?\nAnswer: -24, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u. Let l be j(1). Let w = 4 - l. Suppose -3*f + 601 = 568. Calculate the least common multiple of w and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -20*n**2 + 3*n - 4. Let i(l) = 60*l**2 - 8*l + 11. Calculate -3*i(b) - 8*y(b).\nAnswer: -20*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from {m: 2, s: 2, u: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/5 - 1868*t**2\/5 - 375626*t\/5 = 0 for t.\nAnswer: -641, -293, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 11 = -p, 3*p - 3*b = 5 + 16. Let j(c) = 6*c**2 - 21*c + 11. Let n(k) = 13*k**2 - 43*k + 23. Let o(a) = p*n(a) - 7*j(a). Factor o(u).\nAnswer: 5*(u - 1)*(2*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. Suppose -b = 2*u + 151, v*b + 296 = -3*u + 62. Let a = -48 - u. Calculate the greatest common divisor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/6 + 6\/4. Let s be t\/(-4) + (3 - 2). Let m = 3517\/3 + -1172. Which is the second smallest value? (a) m (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -22. What is the remainder when 22 is divided by q\/(-45) + 352\/60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27604 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/140 and -27\/2.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000030182293 to 7 decimal places.\nAnswer: 0.0000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -3. Suppose y - 5 = -g. Suppose o - y*o = -4. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 28. Let s be 6\/4 - 1\/(-2). Let j be 1\/s - 14\/44. Put j, 1\/3, w in decreasing order.\nAnswer: 1\/3, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 5928825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2235, 2216, 2197, 2178, 2159, 2140?\nAnswer: 2121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/13, 1536.78, -2\/15, 3 in ascending order.\nAnswer: -6\/13, -2\/15, 3, 1536.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -416154?\nAnswer: -416200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-186)\/(-4) - (-9)\/(-18). Let u = -33 + k. Let s = -11 + u. Solve -s*c + c - 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**6\/220 - 49*z**5\/110 + 639*z**4\/44 - 2511*z**3\/11 + 24*z**2 - 11. Find k, given that a(k) = 0.\nAnswer: 9, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 677 + -681. Put -0.3, 5, j, -1\/4 in descending order.\nAnswer: 5, -1\/4, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -117. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.9112 decades in years?\nAnswer: 949.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**4\/12 + r**3 + 2*r**2 - 2*r. Let q be c(6). Solve 4*m + k = q*k - 14, 0 = -m + 2*k - 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 60\/1070243?\nAnswer: 60\/1070243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 21. Which is bigger: f or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -61*o**2 + 165*o + 157. What is u(-1)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - m + 5)*(5*m - 24*m - 10*m).\nAnswer: 29*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by 3?\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/24, -9, -83?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11101010001010011111 (base 2) to base 3\nAnswer: 1210201200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/337764 and 71\/48252.\nAnswer: 337764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 411475 and 1850?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j**(9\/2)*j**(1\/19)\/j*j)**15 assuming j is positive.\nAnswer: j**(4305\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 + aab?\nAnswer: a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 2117568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 i, and 1 y when four letters picked without replacement from ymfbzbii?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 24115031.4 to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38164, 152988, 345044, 614890, 963084, 1390184, 1896748, 2483334?\n\"Answer: 93*j**3 + 38058*j**2 - j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, i: 2}. What is prob of sequence ioo?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1646*l + 17723 + 11905 = 0 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314580*k - 314524*k - 1792 = 0 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 7 = v, 3*v + 14 + 2 = -2*g. Let s = g - -7. Suppose s*z - 8 = -0*z. Solve -3*u - 3*c = 15, -z*c = -3*u + c + 17 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2))**(-35))**(-37)\/((i**0)**(-47))**(-30) assuming i is positive.\nAnswer: i**(1295\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, -3.1, 4, -116 in descending order.\nAnswer: 4, -0.2, -1, -3.1, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*n + 3*d = -60*n + 10, 0 = 3*n + 3*d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - s + 21 = 0, -d + 2*s = d - 6. Let c be (-1)\/d - (-164)\/16. Solve -m + 3*m = c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945023 is divided by 6385.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2\/57 (b) -0.4 (c) 1.6 (d) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 771511*x + 0 - 771498*x.\nAnswer: 13*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*v = -1871530 - 891784. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1\/4 (c) 17 (d) -0.4 (e) 132\/13 (f) -7\/2 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 18*q**2 + 2*q + 1. What is b(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z - 28*z + 14*z - 13*z - 4*z + 2 - 23*z + (1 + 1 + 0)*(2*z + 2*z - 2*z) + 3*z + 2*z - 3*z.\nAnswer: -51*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 231\/(-99)*3 - 3\/(6\/(-11206))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, -4, -9, -149?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**4 + 4*a**4 + a**4 + (2 - 1 - 2)*(-3*a**4 - 2*a**4 + 6*a**4) - a - 2*a**4 + a + 2*a**4 - 2636*a + 3*a**2 + 2636*a.\nAnswer: -2*a**4 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2 - 4 - (8 - 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 3*x + 2. Let a be k(-3). Suppose -2*n = -c + 170, a*c - n = -0*n + 352. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 4*t**2 + 3*t + 2. Calculate v(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b = -54*b - 613 - 80 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25775520 and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y. Let c(h) = 7*h. Let z be -7*(4\/(-6))\/((-49)\/(-63)). Let o(i) = z*m(i) - c(i). Let v(f) = -17*f. Determine v(o(q)).\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (486\/5)\/(-1 + (-54)\/(-45)). Suppose 5*u = 2*o - g, 1343 - 147 = 5*o - 3*u. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204442558.\nAnswer: 2, 102221279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/28*(-203)\/58\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 - 4*k**3 + 3 + 0*k**2 + 7*k**2 wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**4\/3 + 4940*q**3\/3 + 83645*q**2\/3 - 226610*q\/3 - 249432 = 0.\nAnswer: -4923, -19, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**5 - 42869*x**3 + 16711*x**2 wrt x?\nAnswer: -60*x**2 - 257214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 divided by -70.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 37*t + 12 - 18.\nAnswer: -37*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 2. Let w be z(0). Let t = -5 - w. Let g(v) = -3*v - 2. Let m(l) = l + 1. Let r(k) = g(k) + 4*m(k). What is r(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 10:10 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85\/351 + -7\/351. Let g = -1.1 - -0.1. Which is the closest to 0.3? (a) -1\/2 (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1156*b**3\/5 + 1088*b**2 + 3408*b\/5 + 576\/5.\nAnswer: 4*(b + 4)*(17*b + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)*m*m**2)**39)**(-30) assuming m is positive.\nAnswer: m**(-1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 3. Suppose -3*f = -6, f + 15 + 7 = -4*s. Let h = s - -16. What is the lowest common multiple of h and i(-5)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-7)*w**(-4\/7)*(w*w**(-14))\/w assuming w is positive.\nAnswer: w**(-151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/5 + 130\/(-25). Let p be 0\/m*(-3)\/6. Solve p = 4*f - 7*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*n - 80*n - 76*n)*(1 - 1 - 2*n) + (-1 + 4 - 6)*(2*n**2 - 5*n**2 + n**2 + (-3*n + 1 - 1)*(n - 1 + 1) + (0 + n + 0)*(-2*n + 5*n + 3*n)).\nAnswer: 337*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1923171 and -24\/3205285.\nAnswer: 9615855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 3:15 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1. Let z(q) = -2*q**2 - 6*q - 5. Calculate 4*k(d) - z(d).\nAnswer: 2*d**2 + 6*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3963200 rounded to the nearest 10000?\nAnswer: 3960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. Let j be ((-3)\/(-3) - -3) + -1. Find the second derivative of 4*a**f - 17*a**j + 4*a**2 + 7*a - 8*a**2 wrt a.\nAnswer: -102*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 185, 749, 1.\nAnswer: -5, -1, 1, 185, 749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 1 + 7. What is the smallest common multiple of a and -6*(-7)\/(-21) - (-2 + -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 138\/92*(0 + 2). Which is the closest to -4? (a) q (b) -2 (c) 1\/2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -921833 divided by 18\nAnswer: -921833\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -23*u + 133. Let x(f) = f + 251. Calculate the remainder when x(0) is divided by j(3).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4957, 6, -10, 1, 5 in descending order.\nAnswer: 4957, 6, 5, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*k - 13 + 11 + 30*k - 14 - 4*k.\nAnswer: 55*k - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -14 + 23 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 159 = 179 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -34024047 and -34024047 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17381755 to the power of 1\/2, to the nearest integer?\nAnswer: 4169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 3*w - 3*w**4 - 4*w)*(-7 + 15 + 4).\nAnswer: -36*w**4 - 36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -77119*j**2 + 76975*j**2 + 15 - 21 in the form n + l*j**2 + y*j and give l.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -20, -0.04, -5, 8, -0.013, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 60*t + 2.\nAnswer: -60*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1006, -1162, -7006, -18350, -37018?\nAnswer: -64834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50069653 divided by 1?\nAnswer: 50069653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y*y**(-1\/4)\/y)\/y)\/y*y)\/y)\/y)**(-50)\/(y\/(y\/y**(-4\/7))*y**(2\/3))*((y*y**(1\/6))\/y**(-3))**(-25) assuming y is positive.\nAnswer: y**(1223\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3*4066\nAnswer: -12198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*a**4 + 2 - a**3 + 2*a**3 + 5*a**2 + 0 - 15*a**4 as x*a**4 + n*a**3 + r*a + z + b*a**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-39))\/((-352)\/1144). Suppose -8 = -5*f + 7. Factor 0*s**2 + 0 + 0*s + 0*s**f + i*s**4.\nAnswer: s**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**2 - 8*y**2 + 18*y**2 + 5007*y**3 + 4*y**2.\nAnswer: 5007*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2564 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/155, 502\/15, -2\/3?\nAnswer: 502\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*d + 38*d - 8*d)*(-3*d**2 - d**2 + d**2) - 1 + 0 + 0*d**3 - 2*d**3.\nAnswer: -38*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -13*i**6\/30 + i**5\/5 - 791*i**4\/12 - i**3\/6 - 5580*i**2. What is the second derivative of z(w) wrt w?\nAnswer: -312*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*o - 16*o - 2785. Suppose 5*k + o = n, 5*k + 557 = n + k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 - 1.5. What is the second biggest value in h, -0.4, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -53, -105, -173, -263, -381, -533?\n\"Answer: -a**3 + a**2 - 38*a + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73238802 to the power of 1\/3, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26699, 26645, 26555, 26429?\nAnswer: 26267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r = 145 + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + 14078600.289.\nAnswer: 14078599.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0*v - 5 - v + (3 - 3 + 2)*(0 + 0 - v).\nAnswer: -3*v - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 168 = 40. What is the remainder when 147 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 121218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -293 + 347. Find the common denominator of -9 + 498\/s - (-938)\/396 and 61\/62.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i - 3. Suppose 5*t - 17 + 2 = 0. Suppose g - 4*x + t = -2*x, 0 = -5*g + 5*x - 5. What is the smallest common multiple of y(-2) and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11381.7705 + -182456?\nAnswer: -171074.2295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1415671*f*l**4 + f*l**3 + 2*f*l**2 + 2*f*l - 228914*f - 2*l**2 + 3*l wrt l.\nAnswer: -33976104*f*l + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*r**2\/2 - 31763*r\/2 + 3529.\nAnswer: (r - 3529)*(9*r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.144 from 639006.48.\nAnswer: 639009.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 364*z - 140*z + 166*z - 9750 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 10402.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = 16. What is the tens digit of (o\/(-10))\/(2\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 1\/4, 1.4364, -0.5, -0.1 in increasing order.\nAnswer: -0.5, -1\/5, -0.1, 1\/4, 1.4364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0094 + -71.0094. Which is the second biggest value? (a) 2 (b) f (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 + 127. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 8, 4*l + 55995*i - 36 = 56000*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85\/3 - 25\/2*f - 5\/6*f**2.\nAnswer: -5*(f - 2)*(f + 17)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 384814.28 to the nearest 100.\nAnswer: 384800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174124.\nAnswer: 2, 101, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 + 4*g**3 - 6*g**3 + 5*g**3 - 1824*g**2 - 1271*g**2 - 2*g**4 in the form h*g**3 + t + l*g**4 + d*g**2 + c*g and give d.\nAnswer: -3095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2170*i = 1240*i + 1080*i + 2700 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 2177.201.\nAnswer: -10886.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 64219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(336))\/sqrt(8))\/(sqrt(6) + (sqrt(216) - (sqrt(216) + sqrt(216)*1)) + sqrt(6)) + (sqrt(35)\/sqrt(5)*5 + 1 + 4)**2.\nAnswer: 199*sqrt(7)\/4 + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -60, -1, 0.3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731 - 1617*a**2 + 731 - 912*a**2.\nAnswer: -2529*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 53 + -31 + -38 + (4 - (-5 - (-6 + -1)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 31.2. Let s = g - -1.11. Let o = -0.09 - s. Is o smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -7\/2*a**2 - 13 + 0*a. Suppose 9 = -3*n + 6. What is c(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.798*2\nAnswer: 1.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -626712 or -626718?\nAnswer: -626718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 0*r + 0 + 1\/12*r**4 - 33*r**2 - 1\/60*r**5 + 1\/2*r**3. Determine g(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318597.761 minus 13?\nAnswer: 318584.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n + 113. Let t be z(-28). Let a be 3 + -6 + -30 - t. Which is smaller: a or -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3934, 2\/7, 6, -13, -0.1?\nAnswer: -3934","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 0 + 2)\/(3\/4). Let d(c) = -c**2 + 4*c + 4. Let p be d(4). Put p, 2, z in increasing order.\nAnswer: z, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -82, -129, -178, -223, -258, -277?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 455880305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52324 is divided by 1874.\nAnswer: 1726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {y: 2, f: 1, d: 1, t: 1, w: 3, j: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2949395 is divided by 20770.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2513 in 4, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -200, -429, -750?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7))**(-8\/7) assuming y is positive.\nAnswer: y**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-616)\/42*11\/((-2057)\/51)*(-33)\/6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -267 + 50 + 63?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.2073 rounded to 2 decimal places?\nAnswer: -18.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10031110 (base 4) to base 16.\nAnswer: 4354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 1650*b**2 - 3309*b - 1656.\nAnswer: 3*(b - 552)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwoooowwwwowww. Give prob of picking 2 w.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -575\/53878 - 1484021339\/727353. Let v = z + 2042. Find the common denominator of (-10)\/16*-42*(-2)\/5 and v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 409 = 5*g, -g - 1176 = 4*a + 365. Is a at least as big as -385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 3*l - 6. Suppose -12*m = -16*m + 2*v - 16, -5*m - 20 = 4*v. What is j(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19998717173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -22. Let y(w) be the first derivative of 0*w + 0*w**4 + 1\/2*w**2 + 2 + 0*w**m - 2\/5*w**5. What is the second derivative of y(n) wrt n?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 28475?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1. Let j(p) = 2. Let b(h) = -4*j(h) - 7*n(h). Let z(v) = -3*v + 18. Determine -18*b(q) - z(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 21. Suppose -30971992 + 153704052 = r*m. Suppose -3*h + 6083015 = m. Round h to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 - (42 + (73 - -29)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 0*u**2 + 2*u - 1\/12*u**4 + 0*u**3 + 0. Let v(m) = -m. Let y(d) = 6*d. Let r(f) = -3*v(f) - y(f). What is b(r(k))?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-12))\/(1\/(-14)). Let o = g - 4. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/14 - (-536)\/(-336). Which is the nearest to 2? (a) -0.7 (b) r (c) 0.4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**3\/s*s)**(4\/5))**45\/((s**(2\/7))**25\/((s\/(s*s**7))\/s*s\/s**(-6\/11))) assuming s is positive.\nAnswer: s**(10041\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 753*a**3\/2 - 268*a**2 + 578*a. Differentiate t(n) with respect to n.\nAnswer: 2259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-12)*(-31)\/((-1550)\/(-24)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/17)*b\/b**(6\/11))\/(b**(-14)*b**(5\/3)))**(1\/7) assuming b is positive.\nAnswer: b**(7108\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n + 7. Suppose 5*k = -t + 4, 0 = -0*t + 3*t + 3*k - 12. Suppose -7*m + 4 = -t*m - 4*j, j + 11 = 2*m. Calculate q(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h**3 - 7*h**3 - h - 31*h**4 + 13*h**3 + 0*h in the form w + f*h**3 + s*h + o*h**4 + g*h**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(567) + 4 - ((sqrt(567) - (-1 + sqrt(567) - sqrt(567))) + 2) - (2 + 1*sqrt(567)*-1))**2.\nAnswer: -36*sqrt(7) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53140031.\nAnswer: 7, 89, 85297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79*h**6 + 230306*h**5 - 3*h**2 - 4918252*h - 1?\nAnswer: 9480*h**3 + 13818360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5090344 and 3.\nAnswer: 3.5090344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 12967568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(108)\/sqrt(64))\/(sqrt(441)*2*-2 + sqrt(441)).\nAnswer: 5*sqrt(3)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v = 0. Suppose -m + 5 = v, t - 6*t - 3*m + 260 = 0. Suppose 2*o + 2*o = -u + t, u = -2*o + 25. Solve -z + 4 = -2*n, 3*z - o = -n + 4*n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*z, 3*d - 5*z = -0*d - 3. Let t = 10 - 4. Let l = t - d. Solve l*w - 2*f = -0*w + 12, 0 = 2*w + f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 2*b + 4*b + 0*b. Suppose 0 = -h - 4*p + 10, 2*p = -2*p + 4. Let y(k) = -h*k**2 + 4052*k - 4052*k. Determine y(s(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**9\/336 - q**6\/36 - 4*q**3\/3 + 4*q. Let a(v) be the second derivative of j(v). What is the third derivative of a(l) wrt l?\nAnswer: 540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + -5 + sqrt(98) + 5 + (sqrt(98) + -5*(sqrt(98) + -1) - 6*sqrt(98)*2) + 3.\nAnswer: -105*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1587 is divided by 493.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + y = y. Suppose -5*k + 2*k - 3*s + 12 = 0, 4*k + 2*s - 16 = y. Suppose 2*d = -4*q + 388, 0 = -k*q + 2*q - 2*d + 192. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/138)\/(1260\/1008).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -28 + (-1 - -3) - (35 + -7)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54253 and 1589.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21 and 36.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259430249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*n**2 + 1)*(-2 + 3 - 3) - 3 - 2*n**2 - 48*n + 48*n.\nAnswer: -6*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44.5 - -45. Suppose 38*b = -114*b + 145 + 7. What is the biggest value in b, -5, 6\/7, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -215, -360, -409, -314, -27, 500, 1315?\n\"Answer: 8*k**3 - 201*k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77583 is divided by 38736?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + -5 - (46 + -50)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**5 + 3*c**5 + 6*c**5 + (-1 - 4 - 2)*(88*c**5 - 23*c**5 + 59*c**5).\nAnswer: -863*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, 707, 1336, 2147, 3140, 4315?\nAnswer: 5672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -757 - -771. What is the remainder when 2141 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012718 to five decimal places.\nAnswer: -0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*m + 99*m + 110 = 0. Which is the biggest value? (a) -2\/9 (b) -2\/19 (c) -3.1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*i - 31 = -4*d, 5*d = 3*i + 27. Suppose 4 = r - d. Are r and 7 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 50. Let n be (d\/6)\/((-68)\/(-12) - 6). Let c = n - -30. Calculate the remainder when 60 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-5) - (220\/(-25) - -7). Solve 4*q - 18 = -a, -2*q + 2 = -2*a - x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = j + 1. Let p(z) be the first derivative of z**2\/2 + 6*z + 5. Let n be p(-6). Put j, n, -5 in decreasing order.\nAnswer: j, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-3)\/(-45))\/(12\/(235320\/(-74)))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3117 is divided by 1034.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -38 + 8 - (35 + 5).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 900\/150*16\/(-6)*1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 - 137. Is (q\/(-38))\/(1\/758) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 185*h - 190*h - 52, 0 = -22*n - h + 12. Suppose 4*u + 0 = -12. Sort u, 3, n, 2 in decreasing order.\nAnswer: 3, 2, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100 - 1010100100010101?\nAnswer: -1010100011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*p**3*w**3 - 194*p**3*w + p*w**3 + 15*p*w**2 - w wrt w?\nAnswer: 42*p**3*w + 6*p*w + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/54? (a) -0.5 (b) 0.5 (c) -4433016\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43107857 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -856 + 1445. Suppose 4*l - 463 = j. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001666143 rounded to 7 decimal places?\nAnswer: 0.0001666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35262 = -103*g + 85*g. What are the prime factors of g?\nAnswer: 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 24. Let k = -16.1 + p. Which is the second smallest value? (a) 0.2 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 11:16 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 74 + 64\/((-32)\/4). Let p be j\/9*7\/((-14)\/(-66)). Which is smaller: p or 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 10:45 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 148 + 111. Let t = 48 - n. Calculate the remainder when 52 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 11*m**2 - 15*m - 9. Let t be l(-10). Suppose -28*k + t*k = 39. Solve 0 = 6*h - 3*h + k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + 8. Suppose -4*h + q = -65. Is 81\/4 - 7\/h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 18*z + 18. Let x be k(-15). Let p be 65\/91 + x\/(-21). Solve 4*t - 3*g = -8, -p*t - g = 2 + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31426 and 96?\nAnswer: 1508448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/21)\/4)\/((-100)\/(-40)*(-72)\/28).\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*b - 132*b - 28662 = 0. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5132*q**4 + 18*q**3 - 145588*q**2 wrt q.\nAnswer: 123168*q + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1074\/(-8771))\/((-10)\/7)*-1*5.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9948243*w = 9948331*w - 9064 for w.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, u: 2, f: 4}. Give prob of picking 2 c, 1 u, and 1 f.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2209584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 801427 and 218571.\nAnswer: 2404281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/8)\/i)**(-16) assuming i is positive.\nAnswer: i**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 13) to base 8\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756478 is divided by 768.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.9717 to the nearest integer.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*n**2 + 156\/5*n + 6084\/5.\nAnswer: (n + 78)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 690 - -1049. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0*(-2)\/(-4))\/(-1). Let f be b - -1 - (1 + -3). Suppose 3*q = 3*p + 96, -f*q + 34 = -q + 4*p. Calculate the highest common factor of 18 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6693 and 1587?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 650, 653, 656, 659, 662?\n\"Answer: 3*u + 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83033173 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/370 and 7\/37.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/36*((-207)\/21 + 10).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -15497?\nAnswer: -1\/15497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15.5, -4, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 - 700288*b**2 - 700099*b**2 + 1400387*b**2.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10341 from 1714089464.\nAnswer: 1714099805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 3.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -4. Let z = 2.96 + 0.04. Let v = z - 2.8. Which is the nearest to 0? (a) -0.1 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836351 is divided by 104475.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3*j = -j + 8, -3*j + 12 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*b**3 + 4*b**2 + 17*b**3 + 27*b**3 + (-4*b**2 + 2*b**3 + 4*b**2)*(0 + 5 - 1).\nAnswer: 5*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4 - (-184)\/(-49))\/(9 - (-1878)\/(-210)) and -5\/2574.\nAnswer: 18018","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 at least as big as 65.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 + -1.42. Let y = -8.9 - -11.9. Put y, -3\/5, u in decreasing order.\nAnswer: y, -3\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d77 (base 16) in base 5?\nAnswer: 102242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g**3 + 4. Let v(a) = a + 10. Let j be v(-6). Let u(t) = t**3 + 1. What is j*u(q) - o(q)?\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13383638 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 - (-8 + 3)) + 42. Let u be (k\/171)\/((-2)\/(-3)). Which is the nearest to -0.03? (a) u (b) -5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 10:11 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -379 - -375. Let b(w) = 2*w - 11*w + 3 + 3*w + 3*w. Let l(d) = 4*d - 4. Determine p*l(c) - 5*b(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*f - 3113, 2*f + f - 5181 = -5*x. Let v(n) = -n**3 + 30*n**2 - 113*n + 148. Let j be v(27). Let w = j + x. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 6*o = 2*o + 8, 0 = -47*y - 50*y + 2*o - 683 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**2 - 28 + 28)*(-8*c - 3*c**2 + 8*c) - c + 2*c**4 + c as b*c + k*c**4 + n*c**3 + h*c**2 + r and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018093501 rounded to 7 decimal places?\nAnswer: 0.0001809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 17 = -3*x, 258 - 247 = 5*k - 14*x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -13*j**2 - j - 2. Let q be i(-1). Let t(u) = 11*u**2 - u. Let d(c) = -34*c**2 - 10*c + 19. Let a(b) = -d(b) - 3*t(b). Determine a(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4473396 * -3\nAnswer: 13420188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15092*i*r - 6*r + 894 wrt i?\nAnswer: 15092*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 6:04 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -144, 2616, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3)\/((-24)\/90)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6138 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.056 - -0.056. What is the third smallest value in i, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 7:58 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17862748 is divided by 244.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 168, 2\/65, -0.3, 0.7 in descending order.\nAnswer: 168, 0.7, 0.3, 2\/65, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154403 is divided by 137?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - v + 1 - 2*v + 4*v + 0*v + (3*v - 2*v - 2*v)*(-1 - 1 + 1) - 1 + v + 1 - 3 + 2*v + 3 + (2 - 3 + 2)*(-2*v + 5*v - v).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -598796 + 525838 = -297*j + 889322. Calculate the least common multiple of j and 216.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1467102\/2203 or 665?\nAnswer: 665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14539*k = 14547*k - 76 + 220. Let y(q) = -q**3 - 17*q**2 + 12*q - 100. Give y(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((25\/250)\/((-2)\/(-5)))\/(231\/(-308)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from {s: 1, e: 2, k: 6, g: 2, x: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101 (base 2) in base 13?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 11179\nAnswer: -5589.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -11162.\nAnswer: -13\/11162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8888329, 8888321, 8888307, 8888287?\nAnswer: 8888261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15045*i*l**3 + i*l**2*y + 8*i*l*y - i*y + 378*l**3*y + 2128*l**2*y + 5*y wrt l?\nAnswer: -90270*i + 2268*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/9 + 145*t\/9 + 1352\/3 = 0.\nAnswer: -24, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -1\/42*d**4 + 0 + 1\/70*d**5 + d + 1\/7*d**2 - 1\/21*d**3. Factor g(i).\nAnswer: 2*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (1 - -9)) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.450466 centimeters?\nAnswer: 54504.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7\/6 (b) 3\/4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3*t**2 - t**3 - 3*t**2)*(29*t + 132 - 132)*(0 - 4 + 0) - 10*t**4 - 14*t**4 + 6*t**4 as y*t + b*t**2 + l + v*t**4 + k*t**3 and give v.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -76979, -76975, -76959, -76925, -76867?\n\"Answer: s**3 - 3*s - 76977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 29*x**2 + 7*x + 118. Calculate the smallest common multiple of q(-30) and 101.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - k = 132199, -5*q + 4*k + 330505 = 9*k. Round q to the nearest 1000.\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3172b (base 12) in base 5?\nAnswer: 4034404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2*j - 1057855 = -1057802, j = 4 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9949547*0.2.\nAnswer: -1989909.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10188, -1, -2.\nAnswer: -2, -1, 10188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41468 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2248464*m**4 - 332561*m**2 - 19*m.\nAnswer: -53963136*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o + 3*o + 5*o**2 - 3*o)*(-58*o**2 + 58*o**2 + 47*o**3).\nAnswer: 235*o**5 + 141*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -w - 79, -16*w + 4 = -20*w. Let a be (2 - 1)\/(-1)*-5. Suppose 6*s = a*s + y. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 47.67. Let x = 7.03 - 7. Let l = x + s. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -113\/6, -3\/5, -0.2, -0.7, 2, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 17. Let i = a + 19. Solve -i*w - 9 - 6 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3617 divide 319127540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i. Let h(t) = 4923*t. Give m(h(w)).\nAnswer: -19692*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 3*s**2 - s + 2. Let t be u(-2). Suppose 0*h = 2*h - 8. Let v = -3 + h. Which is bigger: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(9\/(-3))\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 12, 544, -82 in decreasing order.\nAnswer: 544, 12, -9, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*t - 19 = -34, 5*j + 4*t - 37 = 0. Solve 4*d = -11 - j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 449.72172 minutes?\nAnswer: 0.31230675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 123?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1613274102 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t**2 - 35*t**2 - 31*t**2 + 124*t**2 - 27*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1291 + 487. Let l = n - 4596. What is l rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499437*f + 0 + 0 - 524644*f.\nAnswer: -25207*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*g = -7, 0 = 2*x - 19*g + 15*g. Let b(t) = 35*t**3 + 0 - 5*t + 3*t**2 + 5 + t**2 + 2*t**3. Is b(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.094, -3, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 16, -4*b + 5*a = -0*b - 36. Suppose 2*k - 40 = -b*d, -3*d + 5*k - 3 = -7. Let w be (-2 - 15\/(-6))*d. Let s(t) = t**2 - t + 3. What is s(w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138)\/483*(-700)\/8.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:47 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-3 + 6) - 3. Suppose -4*v + 54 = 38. Sort v, c, -5, 1 in increasing order.\nAnswer: -5, c, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2643193*b - 228. Let t be k(4). What is t rounded to the nearest one hundred thousand?\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.343 less than 0.5?\nAnswer: -38.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/3, -3\/7, -21.6, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5123 + 448 = -r + 13178. What are the prime factors of r?\nAnswer: 3, 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2. Let g = -16 + 26. Let y = g - l. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24700\/4125 - 36*(-17)\/(-102)?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 47 = -2*g - 5*a, -g - 3*a + 9 = 0. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 4122?\nAnswer: 28854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405*i + 1849 = -450*i + 10534. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c*c**(2\/7)\/c*c)\/c)**(-41)\/((c*c**(2\/27)\/c)\/c*(c\/(c*c**(-5\/8))*c*c)\/c) assuming c is positive.\nAnswer: c**(-142753\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41146*o**2 - 41144*o**2 + 16*o**3 + 82290*o**2.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 110 = -4*o + 14*f + 27*f + 294, -5*f + 15 = -5*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -9 (b) 2 (c) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43809 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 p when three letters picked without replacement from {u: 2, h: 1, g: 2, r: 1, t: 1, p: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1569\/(-72) - -22)\/(100\/(-90)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.4 (b) -468 (c) 2 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4033 - -41?\nAnswer: 4104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + (-62 + 10 - -25)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*g - 1024 = 0, 3*g = 49*k - 53*k + 1022. Calculate the highest common factor of 1651 and k.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135973 is divided by 330.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -76*n. What is the hundreds digit of g(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**6\/120 + 2*c**5\/15 + c**4\/24 - 3*c**3\/2 + 7*c**2. Let a be ((-7)\/4)\/(1\/(-4)). Is j(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/72261 and -52\/1953?\nAnswer: 72261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 14*n + 11. Determine v(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 11487 = -2*s, -48*s + 51*s - 17247 = -c. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.5, -2, -115, -3\/11, 6\/5 in ascending order.\nAnswer: -115, -2, -3\/11, 0.5, 6\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1700245890 to the nearest 1000000.\nAnswer: 1700000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -392 in descending order.\nAnswer: 11, 0, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 0.0187?\nAnswer: -1.9813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxlbxxlbbblllbln. What is prob of sequence xllb?\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - -5*(-3 + 4). Suppose -s - 8 = -g. Is 11 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7099, -7100, -7101?\nAnswer: -7102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 739 + -559. What is the greatest common factor of 234 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 5*h**2 - 5*h + 7. Let z be l(-6). Let g(n) = 2*n - 4. Suppose -5*o = 2*y - 43, 0*o - o + 4 = 5*y. Let m be g(o). Solve 0 = 3*t - z - m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158 - 151. Let u(l) = -l**3 + 11*l**2 - 6*l + 6. Does 16 divide u(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5311 (base 8) to base 16\nAnswer: ac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5 + 32844*j**4 + 135462982*j**3 + 5101420396*j**2 + 4695195648*j - 9932111872 = 0.\nAnswer: -8192, -37, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -4 - (-26 + 8). Suppose n = -0*m - 2*m. Let q = m + 14. Solve -3*b = 5*h - 6*b, -q*h + 14 = b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-138)\/(-9) - 26\/78. Calculate the remainder when 325 is divided by (80\/(-50))\/((-3)\/n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 5. Suppose -4*q - 16 = 0, 5*l - 58 + 7 = 4*q. Let o = l + z. Which is the second biggest value? (a) -4 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = -2*h + 27, 3*h - 57 = 4*v. Let l(b) = b**3 - b + 18. Let s be l(6). Let f = s + -155. What is the remainder when f is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439730 is divided by 419.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**3\/5 - 7838*w**2\/5 - 7875248*w\/5 - 381516312\/5 = 0?\nAnswer: -1934, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - u - 6*f + 7 = -3*f - 6, 74*f = 222 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 20 = -4*o. Let m(g) = g**3 - 4*g**2 - 3*g - 3. Let i be m(o). Let x = 24 - 3. What is the greatest common divisor of i and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -65. Let v = d - 28. Calculate the highest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a microgram in nanograms?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 23*n + 1\/18*n**4 + 0*n**3 - 1\/20*n**5 + 0 + 0*n**2 + 1\/90*n**6. Factor y(l).\nAnswer: l**2*(l - 2)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005088 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -3\/5, 3\/13, 1\/7, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19114122413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190322947?\nAnswer: 53, 67, 53597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*n**3 - 19*n + 27 wrt n.\nAnswer: -15*n**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by -2232490.\nAnswer: 10\/223249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1104)\/10*1150\/(-345). Calculate the highest common factor of 272 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ccvvvvv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 170 + -31. Let x = -139.000000365 + p. Round x to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*1*((sqrt(288) + 4)**2 + 1).\nAnswer: 384*sqrt(2) + 1218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 28*c - 3*c)*(-11 + 30 + 126).\nAnswer: 3625*c + 145","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 25 + 7. Solve k*v = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15395, -14985, -14293, -13313, -12039, -10465, -8585, -6393?\nAnswer: -3883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66573 + -26480. What is the thousands digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -43\nAnswer: 9\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztqztqdttd. Give prob of sequence ztz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/6 + 767\/(-78) and 2 - (-4)\/(44\/27)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 150 + 604 = 33*c for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0472 * 0.2\nAnswer: -0.00944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/30977924 and 75\/1492912.\nAnswer: 123911696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/6)\/(12\/(-360)). Let q = -48 - a. Let l be q\/60 + (-2)\/(-15). Sort l, -2, -3 in ascending order.\nAnswer: -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 3675?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(128) - (sqrt(10)\/sqrt(5) + -5).\nAnswer: -17*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 124.\nAnswer: 3596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 3341312?\nAnswer: 3341302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (445104\/15174)\/((-8)\/21).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m + 139. Let c be t(21). Solve 9*z - 4 = c*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 + 691*u\/2 + 211225\/4.\nAnswer: (u + 175)*(u + 1207)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**3 + d**2 - 6. Let n(t) = t**3 - t**2. Let o(p) = -6*n(p) - r(p). Calculate o(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*y + 357 + 1435 + 1393 = 0 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 4067?\nAnswer: -4100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 69, 198, 387, 642, 969?\nAnswer: 1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 - 6 = 3*f, 5*i + 3*f = -8. Let g(m) = m**2 + m + 1. Let j(p) = 8*p + 3. Determine i*j(d) + 5*g(d).\nAnswer: 5*d**2 - 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2)*-1) + -4 + 0.\nAnswer: -sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 140140 = 17*k - 33*k. What is the thousands digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 740 and 83250.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5174 - -20959. What is the greatest common divisor of 105 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w**3 + 29*w**3 - 8*w**3 - 1118*w**2 - 22*w**3 + 6*w**3.\nAnswer: 22*w**3 - 1118*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 24779996 = -3*c + 3*o, 0 = c + 3*o - 8260003. What is c rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -13. Sort 4, c, 1 in ascending order.\nAnswer: c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f - 405. Calculate a(-59).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*f*y**2 - 2*f*y + 581*f - 3*y**3 + 2 wrt y.\nAnswer: -60*f*y - 2*f - 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7141528 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*p**2 - 29*p**2 + 43*p**2 + p**2 + p**2 - p**2 + (-7*p + 3*p + 2*p)*(2*p + 0*p - 3*p) - 3*p + 3*p + p**2 to the form c + l*p + b*p**2 and give b.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 23*b**6\/240 - b**4\/12 - b**3\/2 + 9*b**2 - 2. Let j(m) be the second derivative of g(m). Let i(v) = 3*v. Determine i(j(q)).\nAnswer: 207*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l - 39. Suppose 8*u = 10 + 6. What is the remainder when (1 - u)*10\/(-40)*148 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/81300 and 71\/32520?\nAnswer: 162600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 52 = 4*v. Suppose -v*q = -4*q + 275. Let z = 181 + q. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 305023?\nAnswer: -305018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*i**2 + 239*i**2 + 339*i**2 in the form m + w*i**2 + l*i and give w.\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157949, 19, -2, -5, 4, 2 in descending order.\nAnswer: 157949, 19, 4, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*g**3 + 1578*g**2 - 786*g**2 + 183*g**3 - 792*g**2.\nAnswer: 211*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - x + 10. Let q be (3 + 110\/(-34))\/x. Let y = -7 - -5. Which is the smallest value? (a) q (b) y (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 9. Let a(p) = p**2 - p - 12. Let q be a(0). Let h be (q\/(-10))\/((-9)\/(-30)). Let r = 1 + h. Give d(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143248616 to the nearest integer?\nAnswer: 11969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 5*m - 5. Let a be q(4). Let u(z) = 69*z + 1037. Let t be u(-15). Does 3 divide (((-1)\/t)\/(a\/(-34)))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/3)\/(a\/a**(7\/4))*((a\/a**(-7))\/a)\/a**(-1))**(-32) assuming a is positive.\nAnswer: a**(-712\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*q - 7 = 0, 1 = -3*q - 2. Suppose -x*d + 2 = -4*d. Find the first derivative of 3*g**4 - d - 8 - 5 wrt g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, d: 7}. What is prob of picking 2 t and 2 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-25)\/(x*x\/(x\/((x**(-25)\/x)\/x))))\/(x*x\/(x\/(x*x*x**(-10\/11)\/x))*x)**(-15) assuming x is positive.\nAnswer: x**(356\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l. Let n(g) = -9 - 12 - 21*g + 21. What is n(i(c))?\nAnswer: -126*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + -43700063?\nAnswer: -43700116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101111 + 100?\nAnswer: -1000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 537404.8 millilitres in litres?\nAnswer: 537.4048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360 divided by -36.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 519*n*o**2 + 22*n - o**4 - 1 wrt o.\nAnswer: 1038*n*o - 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10010 - -10324. What is the least common multiple of u and 1727?\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -50\/361 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -16. Let l = d - 5. Suppose 2*q - l*t = 4*q - 6, 0 = -q + t - 3. Solve -p + b + 3 = 0, -b = -q*b - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8051 divided by -6?\nAnswer: -8051\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161132, 161316, 161486, 161636, 161760, 161852?\nAnswer: 161906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146287 is divided by 836.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**3 + 98*m**2 - 158*m + 99. Determine h(31).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*n + 5. Let p(o) = 7*o - n - 3*o - 2*o. Let z(r) = -r. Calculate -p(a) - z(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s - 15. Let l(c) = c + 5. Let h(g) = -7*l(g) - 2*u(g). Let k be h(-8). Suppose -v - k*v = -4. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 34 - 17. Which is the second biggest value? (a) -0.1 (b) l (c) -8 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -985, -997, -1009?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*((sqrt(13) + -1)**2 + 3)*-1.\nAnswer: -16*sqrt(13) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/638 and 99\/10?\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.5 and 0.05.\nAnswer: 0.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16499 is divided by 16478.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181 - -183. What is the nearest to 2 in -3, -0.01, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010\/162540 + 98\/(-108)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -10*w + 27. Suppose 7*d - 5223 - 5564 = w. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*l + 197*l = -8 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3.5. Let u = p - 0. Sort 1, u, 3 in decreasing order.\nAnswer: 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*w - 2*d + 10, 2*w + d = 9. Let b = -3 - -3. Find the third derivative of -4*p**4 + b*p**2 + 3*p**4 - p**2 + 4*p**w wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 10*c - 42. Let b be 43\/5 - 3 - ((-168)\/30)\/14. Give h(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) - 4638\/(-12). Suppose 0 = f + 2*f - b. Suppose 0 = 4*p - 6*p - 5*k + 69, -4*p = k - f. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 3*p + 4*p + (5 - 3 - 3)*(-3 - 2*p + 3) + (9 + 2 + 7)*(2*p + 0*p - p).\nAnswer: 25*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 12:43 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 31, 5, -55, -155, -301, -499, -755?\nAnswer: -1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4046 - 3785. What is the least common multiple of 4 and p?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + l - 9445. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 297, 425, 535, 621, 677?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 423 + -1224134?\nAnswer: -1223211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, k: 1, f: 2, c: 2, s: 4}. Give prob of picking 2 f and 1 j.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + 7. Suppose 2*u - 2*m = 242, -u - 3*m + 222 = u. Suppose -u = -2*b - f. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*k + 300. Suppose -g - 6*y + 3*y = -k, 59 = g - y. Does 25 divide (-4)\/(-3)*g\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c - 4*c - c**2 + (5*c + 0*c - 4*c)*(2*c - c + c) - 373786 + 21*c + 373786 - 7*c**2.\nAnswer: -6*c**2 + 21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 690230 and -12.62663.\nAnswer: 690217.37337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Suppose 3*h - 9 + 2 = -u, 5*h - 4*u = 6. Let y(a) = 0*a + 3*a**h - a - a - 2. Determine y(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 18*l + 30. Suppose k - 17 = 4*d, -2*k + l = 4*d + 4. Calculate the remainder when k is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 15 = 3*f - 6, -34 = -3*q + 5*f. Calculate the lowest common multiple of 30 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 5*x + x)*(1 + 4 - 2)*(2 + 4 - 4)*(3 - 3 + 9 + (-3 + 3 + 2)*(2 - 5 + 1)) to the form c*x + j and give c.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20)\/30*4458\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*v - 50, -5*v + 46 = 5*l - 4*v. Suppose -4*p + 5*z = 15, -2*p = -7*p - 3*z + l. Solve q = -6*t + 2*t - 9, 3*q - 3*t + 12 = p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -124\/13?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1*2 + sqrt(99))\/sqrt(9) + (((sqrt(99) + sqrt(99)*-1)*-6)\/sqrt(9))**2.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135.338 - 109.1026. Let n = 0.0646 + h. Let r = n + -26. Put 0.4, 0.2, r in descending order.\nAnswer: 0.4, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10644)\/(-18))\/(280\/(-30) - -10). Sort 2, -3, m.\nAnswer: -3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 w, and 1 m when four letters picked without replacement from wyywmyywywwywwyuw.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -234440\/27 - -8681. What is the common denominator of j and 52\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -23 + -12 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182315 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203215324 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/2 + 70\/63*6 + -8. What is the closest to -25 in a, 3, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34746.97 grams to tonnes.\nAnswer: 0.03474697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 - 6*i**2 + 4*i - 6. Let d(w) = -w**3 + 3*w**2 - 2*w + 3. Let f(b) = 4*c(b) + 9*d(b). Let y be f(2). Solve -y*a - 8 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 78*m + 75*m = -n + 21, -4*n + 5*m = -51 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*i + p + 3, -12 = 4*p. Let z = 16 - 9. Suppose x - z = -i*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/16 of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 0.257 (c) 0.4 (d) -80 (e) -0.3 (f) -7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3075 and 15550275.\nAnswer: 15550275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3746.\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-14)*-1 - (-252)\/39?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 131, 137, 145?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48224)\/5480)\/((-22)\/(-275))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18321596*c**4*p + 2*c**4 + 4*c**2*p - 5955*c**2 + c*p + 36*c + p wrt c?\nAnswer: 439718304*c*p + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**2 - 4*r + 3. Calculate w(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 2*o - 9. Determine v(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/15 + s**2. Let z(r) = -5*r**2. Calculate z(w(p)).\nAnswer: -80*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-3) + 378\/(-324).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + (sqrt(40) - sqrt(360)*5) + sqrt(5760)*-1 + sqrt(5760))\/((-2*1*sqrt(64))\/sqrt(8)).\nAnswer: 13*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 6324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/6)\/1*1\/(-20*11\/(-660))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 377, 549, 721, 893?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) -100 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 10*g + 13. Give x(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*t + 42*t**3 + 38*t)*(4 + 3 - 3).\nAnswer: 168*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23892 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 plus 16?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-18))\/(2\/24). Which is the biggest value? (a) -12 (b) -1\/24 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (2 - (9 + (1 - 5))) + 15.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -357306 <= -357308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*d*i**4 + 50*d*i**2 - 26*d*i + 4*i**4 - i wrt i.\nAnswer: 84*d*i**2 + 100*d + 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - n + 2)*(3*n**4 - 1 + 1) + 13*n**5 - 28*n**5 + 14*n**5.\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108268576 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2031166)\/(-10) - 12\/(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -257 <= -257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*a**5 + 1441 + 17*a**2 - 1441 wrt a.\nAnswer: -1320*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 246*b**2 - 5*b + 8. Let v = -50 + 52. Is n(v) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53891?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 - 72. Suppose -q*v + 78 = -32*v. Let b be (-23)\/(-2) + 54\/36. Calculate the highest common factor of b and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 1413 = -4*y, -3*y = -0*u + 2*u + 1031. Let k = 288 - y. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t**2 + 4*t**2 + 81196*t + 38*t**2 - 9*t**2 - 81195*t - 3 as n*t**2 + x*t + m and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -4001*p**3\/2 + 15*p**2\/2 + 12*p. Let z be w(5). What is z rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111101110100000100001 (base 2) to base 5\nAnswer: -2023411112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48324 + 442469 = -4251*f - 621*f - 68695 for f.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 16 = 2. Let g(j) be the third derivative of -7*j**6\/40 - j**5\/60 + j**4\/24 + j**3\/6 - j**2. What is the remainder when g(-1) is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19 + 22)*1\/(6\/4). Suppose d*a + 70 = -3*a - 2*b, -2*a - 49 = 5*b. Let i = 18 + a. Solve -n + i*n + 15 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -74, -136, -260, -458, -742, -1124, -1616?\n\"Answer: -2*d**3 - 19*d**2 + 9*d - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 9) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 - -4) + -2)*96. Let v be 1 - (-1 + 9) - 6120\/(-60). Which is greater: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315153*5\nAnswer: -1575765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*m + 18*m + 59*m**2 + 15*m as h*m**2 + r + f*m and give h.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1993?\nAnswer: -3\/1993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -767*a - 12. Suppose -26 = 5*y + n, -4*y + 3*n - 37 = -1. Let t be o(y). Suppose 9*x - t = 8*x. Round x to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7374 = -v + 2*f + 7196, 43710 = 3*v - f. Is 94 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-3)*(-25)\/(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -96373*j**3 - 3*j**2 - j - 2. Let g be x(2). Round g to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 27*g + 1. Let m be o(1). What is the greatest common divisor of 28 and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209 + 209 - 7*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -5*d + 8 - 20\/27*d**3 - 1\/9*d**4 + 1\/10*d**5 - 8\/9*d**2. Let y(j) be the first derivative of k(j). Solve y(g) = 0 for g.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11)*v)**(-8) assuming v is positive.\nAnswer: v**(-72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3304 and 11241034?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 8 = -4*r. Which is greater: r or 8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/416892 and -62\/3545?\nAnswer: 2084460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 232 + -235. Suppose -5*x - g = -106, x + x + 2*g = 44. Put 4, -2, x, n in ascending order.\nAnswer: n, -2, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 4:01 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 64823 (base 12) to base 16\nAnswer: 2059b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + (0 - ((-6 - -15) + -22)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, d: 5, e: 8, k: 2}. Give prob of picking 1 l and 1 d.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 1, q: 2, g: 2, z: 2}. Give prob of picking 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-68))\/((-2)\/88).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 37467, 39902, 42337, 44772, 47207, 49642?\n\"Answer: 2435*j + 35032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*t - 0*t. Solve -2*s - 6*k + 17 = -k, -t = -3*s - 2*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 4 - f + 0*f**3 + f**2 - 1\/3*f**4. Let d(w) be the first derivative of r(w). Find the first derivative of d(k) wrt k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 - 1000*k - 58618 = 0. What is k?\nAnswer: -53, 553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/9 and -31\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - -46)\/(5\/50 + 2 + 685\/(-350))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -15, 1, -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 6. Let z be (-162)\/(-45) - o\/5. Solve -3*j + 0*j + 3 = z*d, -2*d - 5*j = -19 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = g - 3, 4*g = -i - g + 15. Suppose i = 5*c, j - 30 = -0*j - 3*c. Suppose 19 = 4*d + 5*n - j, -4*n = -20. Let m(a) = a**2 - 4*a - 7. Give m(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60362423 to the power of 1\/2, to the nearest integer?\nAnswer: 7769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 27 = 117. Let v(m) = -18*m + 29. Let d be v(s). Which is smaller: 190 or d?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + 1 - (1075 - 1195)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2675453811 to the nearest integer?\nAnswer: 51725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 817360290?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 711.7498l to millilitres.\nAnswer: 711749.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j - 1137 = -843 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 - 28 + 28)*(4 - 1 - 2) - 19 - 22*c**2 + 8*c**2 + 13*c**2.\nAnswer: -6*c**2 - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 335221435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 56*d**2 + 7*d - 5. What is the tens digit of b(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -7, 1, -2 in decreasing order.\nAnswer: 1, -2, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02 and 0.0505.\nAnswer: 0.0305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**4\/24 + d**2. Calculate the least common multiple of r(6) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2809 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1719*m - 68773 - 51130 = -728*m for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-12)\/j**(-13))\/(j*(j*j*j\/(j**(1\/8)*j)*j)\/j*j)**(-40) assuming j is positive.\nAnswer: j**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by -5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) + (-2)\/3. Let v(w) = 7*w**2 - 2*w - 1. Let u be v(d). Is 19 a factor of (-124)\/u*(1 + -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**5\/15 + m**4\/6 - m**3\/2 + 8*m**2. Let t(a) = a**3 - a**2. Let q be t(1). Suppose q = -3*x - 2*x + 10. Calculate p(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -361\/101795 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3682981\/1742444 - -2\/39601. What is the common denominator of s and (-138)\/(-8) + 0 + (-3)\/(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -1\/4, 799, 2\/3, -1\/309, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 + t**2 + 2*t + 4. Let q be w(2). Let d be 12\/(-21) - q\/21. Which is smaller: 1\/22 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*10*(-6)\/(-2160)*-3.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 5*x**2\/2 - 2453. Let z(u) = 34*u + 4. Give l(z(s)).\nAnswer: 170*s + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4184191 is divided by 13585?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - u**2 - 8*u + 10. Let a be c(5). Suppose a + 130 = 4*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-57)\/(-266)*8\/3. Let k = -4.842 + 5.242. Which is the biggest value? (a) p (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6485.\nAnswer: 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216307 - 225811 = -288*u for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (669 - 308 - 264)*(11 + 5*c - 11) as o*c + j and give o.\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 3*t. Let x be c(-5). Suppose -5*v = 3*s - 87, -2*v = s - x - 25. Calculate the smallest common multiple of 25 - (0 - 1 - -2) and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpjlbpppbpupjbpkj. What is prob of sequence jluk?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 839772705 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 52.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, e: 3, c: 3}. Give prob of sequence cac.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + ((8 - 9) + 1 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1563046944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38679589 and 4.\nAnswer: 154718356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/10807220 and -47\/4340.\nAnswer: 75650540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + -3*sqrt(425))**2 + 2.\nAnswer: 30*sqrt(17) + 3828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 0) + 60\/6. Let j be (-3)\/d - (-8)\/28. Let f = 4.8 - -0.2. Which is the smallest value? (a) f (b) j (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -8735322?\nAnswer: 8735322.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49987?\nAnswer: 7, 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 769 - 4643\/6. Calculate the common denominator of t and 83\/(-42) + 14\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 1\/120*c**6 + 0 + 0*c**3 - 1\/20*c**5 - 27*c**2 - 1\/24*c**4 + 0*c. Let h be -5*(-2 - (-6)\/5). What is n(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1189 - 1284 - (-22 + -1)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45352298 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 12:44 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 55\/11 + (-3 - 2). Suppose m = -3*t + 5*t - 6. Solve -t*x - 5 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*n + 0 + 0)*(0 + 2 - 1)*(0*n**2 + 2*n**2 + n**2).\nAnswer: -93*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173 + -153. Is 1 + (3\/(-15) - (-116124)\/t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6373*q + 6283*q = -2880 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -29. Let k = -2 + u. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14283 = -1356*c + 1468*c - 1515 for c.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -2134?\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -5) + (4 - -1). Does 12 divide (186\/12)\/(2\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -308.17 - -309.17. Put -370.6, -4, z in decreasing order.\nAnswer: z, -4, -370.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/5 - ((-6671)\/35 + 30). Solve -z*g + 16 = -162*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 538874.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(sqrt(16)\/sqrt(8) + 4) + ((sqrt(180) + 4*sqrt(180))\/sqrt(10))**2).\nAnswer: -sqrt(2) + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(121) - -6*2*sqrt(121))\/sqrt(11).\nAnswer: 1 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from {o: 5, x: 2, b: 3, u: 5, c: 5}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441598227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2485200 divided by -828400?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -961\/8, 21, -0.3?\nAnswer: -961\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 6 + -5 + (-2 - (-3 + -1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 2. Suppose -v - 18 = 2*v. Let f be n(v). Are f and -8 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3890731 at most as big as 3890730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45581.07 - -45394. Let z = -188 - n. What is z rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*y + 9*y - 276. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = w + 10171, -3*w - 12695 = -5*n - 8*w. Let j be n\/6 + (50\/(-30) - -3). Is j at most as big as 425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -3 - (-26 - (-3 + -2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 3*u**2 + u - 2. Let r be j(4). Let d = 7 + -11. What is the units digit of d\/(-3)*r\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 301524 - -4255?\nAnswer: 310223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 2, r: 1, m: 1, k: 2}. What is prob of picking 1 k and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-22*a + 7 - 2*a - 5).\nAnswer: 24*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -192872508*m**5 + 182339444*m?\nAnswer: -3857450160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*(r**9*r)\/r*r)\/r)\/r)\/r**(-8)*(r**(-2\/9))**(-25\/2) assuming r is positive.\nAnswer: r**(187\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -39. Let n = t + 36. Suppose 2*s + 3*s = -n. Which is the nearest to 0? (a) -2\/5 (b) 3\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 9:59 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f + 35*f = -1173. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8970 - -2.61.\nAnswer: -8967.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -5\/12*t**4 + 0*t**3 + 0 + 0*t - 3*t**2. Let d(l) = -4*l**2 + 10*l**2 - 8*l**2. What is q(d(a))?\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 53834, 107667, 161500?\n\"Answer: 53833*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-134)\/17 + 29\/((-580)\/(-160))*1\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -17.57. Let c = -1.065 - -0.6434. Let k = r + c. What is k rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.5 (c) -2\/9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 122*f**2 - 11309 - 369*f**2 + 11286 in the form c*f + s + o*f**2 and give s.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 22*l - 13. Let u be 1*-19 + (-3 - -6). What is the tens digit of b(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 40*y + 77. Let b be k(18). Solve -5*a = 4*u + 14, 1 = 3*a - 6*a + b*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21*126.2\nAnswer: -26.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 9) in base 2?\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2619178 or 2619135?\nAnswer: 2619178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 144798492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24625, -24620, -24611, -24598?\n\"Answer: 2*g**2 - g - 24626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16423349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + s - 5*s**4 + 0*s**4 + 0*s**4 + 3*s**4 + (4*s**4 + 2*s**4 - s**4)*(-1 + 1 + 1).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16451772 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -48.9, 4, 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0, -0.017, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0518 + 0.6618. Let r = -0.51 + f. Sort 1\/8, r, -54\/11 in increasing order.\nAnswer: -54\/11, r, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*g**2 - 35*g**2 - 39*g**2 - 41*g**2 + 0*g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(-13))\/(35868\/(-366)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -274 - -270. Is 2 a factor of (33\/6*-26 + c)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7400 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026276492 to five dps.\nAnswer: 0.02628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10915 and 16465.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 96\/3639529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000042702 to 7 dps.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4427 + 4477. Solve -6*l = m - 26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -37 - (-1508 + 1470).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 6. What is p(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 + 8*a - 7. Suppose 17 - 11 = -3*u. Let n be 5\/4 - u - 3\/12. Let z be f(n). Calculate the highest common divisor of 176 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2640 + 2870. What is the remainder when b is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from {w: 1, q: 1, k: 4, e: 5}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlh when three letters picked without replacement from {e: 1, h: 8, n: 2, l: 2}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20986743 rounded to 5 dps?\nAnswer: -0.20987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 12:12 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 6. Let o = 12 - f. What is the smallest value in 0.3, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, 3\/7, -3.3 in descending order.\nAnswer: 0.5, 3\/7, -2, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1431485\/4 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d - 46*d - 108*d - 21*d.\nAnswer: -155*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) 0.4 (c) -4\/5 (d) 1 (e) 42 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 8*v - 144. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19376\/1627 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 9028*j**3 - 317*j**4 - 84*j + 316*j**4 - 8969*j**3 + (0*j**4 - j**4 + 0*j**4)*(1 + 1 + 0) in the form k*j**4 + q + m*j**3 + n*j + x*j**2 and give n.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -110204?\nAnswer: -110204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y**2 + 15*y - 1. Let c(q) = 4*q**2 + 8*q - 1. Let r(n) = -5*c(n) + 3*g(n). Let h be r(-5). Suppose -h*w + 40 = 2*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 7. Let m be f(5). Differentiate -m*z**2 + 14 - 16 - z**2 with respect to z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 6. Let g be -1*(666\/(-81) + v\/(-9)). What is the second derivative of -10*p**3 - g*p + 33*p - 7*p wrt p?\nAnswer: -60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 11*b + 2. Calculate y(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 105\/8, 3, -1, -2\/7, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9902 + 0.0098. What is the closest to 2\/7 in -0.06, -1.4, o?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h + 47443 + 7*h - 47443.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2868704 is divided by 2868665?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -189*j + 72 wrt j.\nAnswer: -189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-31)\/2)\/((-1)\/2). Suppose 2*x - 3*j = -2*j, 5*x + j = 14. Is 1\/2*x*t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + k**2 - k + 10. Let h be g(0). Suppose 2 = -2*y + h. What is the second derivative of -n - 5*n**y + 4*n**4 + 2*n wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.577 + 21.437. Sort -2, v, -2\/13, -4 in decreasing order.\nAnswer: v, -2\/13, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h - 13*h - 1 = 5*z, -16 = -4*h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t + 3. Suppose -t*f + 8 = -f. What is the remainder when 11 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/4590*54*17.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41556\/59 or 705?\nAnswer: 705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1164370.\nAnswer: 2, 5, 116437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(2448) + 5)**2.\nAnswer: 192*sqrt(17) + 2512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*y + 12, -4*w + 117 = -3*y - 26. What is the greatest common factor of w and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/1 - 160 - 1. Let o = 39 - k. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 310 - 313. What are the prime factors of (287\/f)\/(-7 - (-936)\/135)?\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2534371+-1\nAnswer: -2534372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p - 1 = -l, 4*p - 3 = -3*l. Let u be (30\/18*l)\/(10\/12). Solve -w - u = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, z: 8, d: 11}. Give prob of picking 2 z and 1 a.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3900 and 3470818.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 40*a**2 + 204*a - 25. Calculate n(-10).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 7\/2, -76 in descending order.\nAnswer: 7\/2, -4\/7, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27335 is divided by 156?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 e when three letters picked without replacement from epepeppeppepepeeeep.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + 3*c + 0*c)*(c**2 + 4*c**2 - 4*c**2 + (c**2 - 4*c**2 + 5*c**2)*(1 - 4 + 1))*(-4 + 119 + 226) to u*c + p*c**3 + k + g*c**2 and give p.\nAnswer: 1023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3*u**(-7)\/u*u)\/(u\/u**2*u*u*u**(-3))*((u\/(u*u\/(u**2*u)*u)*u)**45)**(-18) assuming u is positive.\nAnswer: u**(-1622)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6489977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67963891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 64 = -62. Solve 7*i = s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82 and 1312.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*(f\/(f*f**(6\/5)*f*f))\/f*f)\/f*f*f**0)**46*(f**(10\/3)\/f*f**(-8\/5))**0 assuming f is positive.\nAnswer: f**(-276\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 9 + -64 + 3 + 17?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*n + 118*n = -30, 5*j = -5*n + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + (2 - 12\/(-4)). Suppose 2*l - q - x = 0, q + 20 = 4*l - 11. Solve -3*r + 21 = -3*h, -3 = 2*r - l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 150*m + 168*m - 300*m to the form y + k*m and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17\/6 (b) 4\/7 (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 2. Let c be s(-5). Suppose -3*f + 5 = -y, -4*f + 15 = 3*y - 35. Suppose -9*x = -y*x. Solve x = r + c*r + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from sssxxsssssss.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -113, -0.5, -2, 0.3, -0.4, 0, 23\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(52)\/sqrt(4)*-2.\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8056\/96 - 1\/(-12)) + -7 - 7. Suppose 0 = 5*j, 2*w + 2*j + 460 = 7*w. Let r = w - x. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151903 (base 11) in base 12?\nAnswer: b4b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 5*x + 45. Suppose 0 = -o - 5*a - x, 5*o - 45 - 10 = 3*a. Find the common denominator of 43\/22 and (-1 + 4)*(-18)\/o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -837428\/115 - -7282. Suppose -3*m + m = 0. Is m <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 6\/1583 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/7447520 and -21\/71200?\nAnswer: 37237600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -851093821, -851093819, -851093817, -851093815, -851093813?\nAnswer: -851093811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38\/9 - -248\/63. Let r = -13 + 12.4. Let p = r - -1. Which is the closest to d? (a) -1\/7 (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(612)*3)**2 + sqrt(612) + (sqrt(51)\/(5*sqrt(3)*6))**2.\nAnswer: 6*sqrt(17) + 4954517\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39772 and 17604?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1 = -3, 4*u + 4*l = 8. Suppose -24*i - 72 = -96*i. What is the remainder when i is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2 + (-5)\/4*6. Does 16 divide 3*24\/(-27)*n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let j(g) = -227683*g. Give w(j(t)).\nAnswer: 227683*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 514281497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*i + 38 = 0, -j - 43 = -0*j - 4*i. Let l = -33 - j. Let g = 11 + l. Solve 4 = -2*d + 5*v, v - 10 = g*d + 3*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -805 (b) 18 (c) -2\/1249\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13455*j**3*n + 46*j**3 + 2*j**2*n - 173*j*n + 11183*n wrt j.\nAnswer: 80730*j*n + 276*j + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -7. Let h = -57 - -56. Let s = 111 + -115. Which is the nearest to 0? (a) u (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 3. Let s be x(-9). Suppose s = 6*z - 3*z. Solve 18 = 2*y + z*u, -12 = -4*y - 5*u + 3*u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-5) - (-9195)\/25. Suppose k = 28*p + 31. What is the least common multiple of 4 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/16 and -75\/2696?\nAnswer: 5392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 11:04 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-37)\/(-962)*5\/((-30)\/(-4)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19)\/(-7) - (2 + 1). What is the nearest to -0.1 in 3, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1089 and 0.17.\nAnswer: -185.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -27 (b) -8 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 69430*q**2 - 347055*q + 416430.\nAnswer: -5*(q - 13881)*(q - 3)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 12:20 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 295000. Let j be k(0). Let p(n) = -2*n - 4. Let s be p(-4). Suppose -s*i - i = j. Round i to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 76\/2*((-3)\/2 - 0). Let y = -34 - v. Suppose 5*f + 4*n + 5 = 0, f + 2*n + 17 = -2*n. What is the smallest common multiple of f and y?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (44\/8)\/1 - 2\/4. Suppose 0 = 4*q - x - 37, q + 3*q - u*x = 57. Let y(k) = -k**3 + 7*k**2 + 8*k + 1. Let m be y(q). Solve 0 = p + m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*a - 22. Let c = -9 + a. Let r be (-3 - -7)*c - -1. Let s(w) = -7*w - 2. Determine s(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -510, 0, 36, 4, -31 in descending order.\nAnswer: 36, 4, 0, -31, -510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**5 - 1. Let i(g) = -8*g**5 + 109*g**4 + 1168*g**2 + 6. Let m(p) = i(p) + 6*t(p). Find the third derivative of m(n) wrt n.\nAnswer: -120*n**2 + 2616*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1106 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-68)*-4 - 9467742\/(-867)?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6 = 5*q - 3*j, 4*q - 3*j - 8 = 0. Let i(p) = 6 - 3 + 4*p + q*p. List the prime factors of i(8).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezzz when four letters picked without replacement from {z: 1, e: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - 11 - 34 - (-4 + -109 + 2).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 1:26 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + f + 7 = 0, 2*f + 2*f + 3 = -n. Let u = -687 + 705. Calculate the remainder when u is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/16360 and 29\/89980?\nAnswer: 179960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.645 + -150.955. Let t = -23.1 + -107.9. Let d = t - w. Round d to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4533, 4699, 4865, 5031?\n\"Answer: 166*z + 4367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 8187*n + 8188.\nAnswer: -(n - 1)*(n + 8188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 703507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/15 + 29*n**4\/6 + 140*n**3 - 11970*n**2. Factor o(v).\nAnswer: -4*(v - 35)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 91. Which is smaller: -27 or c?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198232.\nAnswer: 2, 7, 21397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5226176996 a multiple of 15058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472891.\nAnswer: 19, 24889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (44\/(-10))\/(2\/(-20)) - 1. Is n <= 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 11:34 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (0 + -1 - (8 + -10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 3 (c) 48\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24547913, 24547905, 24547875, 24547811, 24547701, 24547533, 24547295?\nAnswer: 24546975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457043066 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -62d (base 15) in base 10?\nAnswer: -1393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -0.6\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -23303120?\nAnswer: 23303130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/154 and 93\/220?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -51. Suppose -10*a = -8*a - u. Suppose -21*t + a*t + 1212 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -600072 by 4546.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.3, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4)*-2*45\/(-27). Suppose -g + w = -0. Solve g*l - 5 = -0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 - -136. Let l be -3*v\/9 - (-3 + 304). Is l less than -305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 1:15 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-4)*8\/6. Suppose r*v - 16 = 5*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 360 = -4*m - 0*m, k = m - 72. Let d = k + -6. Is 13\/d - (-110)\/12 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786609527 is divided by 6697?\nAnswer: 6695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -13 + 7 - 4\/((-16)\/780). Let g(m) = -98*m - 102*m + a*m. Let t(f) = -3*f**2 - f**2 + 3*f**2. Calculate t(g(u)).\nAnswer: -121*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 3*n + n + 1 + 3*n**2 + 1 + n**2. Let x be (1 - 3)\/((-10)\/(-15)). What is b(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 17*p**2 - 8*p - 38. What is the hundreds digit of y(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**14*t**(-3\/31)*t)**7 assuming t is positive.\nAnswer: t**(3451\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120261*g + 89812.\nAnswer: 120261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -325, -517, -743, -1015, -1345?\nAnswer: -1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5699.2662 minutes to days.\nAnswer: 3.95782375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38905882201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/17 + 1303\/340. Let x be 8763\/36*6\/(-4). Let k = 354 + x. Calculate the common denominator of k and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1790101 to the power of 1\/2, to the nearest integer?\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**14\/((g\/g**0)\/g))**28)**40 assuming g is positive.\nAnswer: g**15680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6 = -3*p, -2*m + 7*m + 2*p = 4. Suppose i - 6*i + 445 = m. Let t(k) = -i*k**2 - 4 - 2 - 6*k + 88*k**2. Calculate t(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*u + 155*u = -2*t - 17, 4*t = 4*u + 56 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 6*x - 2*x - 37, 51 = 5*x - n. Calculate the smallest common multiple of x and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -848 - -864. Calculate the highest common factor of 18 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 12:08 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 11*k + 6304. Let a = 765 - k. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 411655 (base 7) to base 10\nAnswer: 70306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27\/32 + -13\/288. Let k = 1747 + -19232\/11. Find the common denominator of k and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - (sqrt(121) - sqrt(121)*-2))*-3)\/(sqrt(11) - (sqrt(1584) + sqrt(1584) + sqrt(1584)*2)) + -3.\nAnswer: -3 - 6*sqrt(11)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, g: 6}. Give prob of picking 2 x.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9756)\/15176)\/(3\/(-182)). Let p(g) = -79*g - 8. Let x be p(-8). Calculate the highest common divisor of n and x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -5. Let x = 31 - 29. Suppose -2*a + y = -7, -3*a + 4*y + 4 = a. Solve -l + z = a, z = -v*l + x*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n + 282 - 1152 = 0. Calculate the highest common divisor of 10110 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 14*x**2 + 4*x + 3. Let y be -3 - (-5 + (5 - -4)). Let u be b(y). Suppose 6*o = u + 83. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 9*l**2 - 6*l - 43. Let k be x(-9). Calculate the highest common divisor of k and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*w**3 + 1\/2*w**5 + 0 - 11\/2*w**2 - 1\/2*w**4 - 2*w.\nAnswer: w*(w - 4)*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (3 + sqrt(243)*-2 - (-1 + sqrt(243)*-3))*-5 + 2)*-4)**2.\nAnswer: 30240*sqrt(3) + 104256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p - 1. Let u(t) = -t. Suppose q + 8 = -q. Calculate q*u(i) + m(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -20.9. Suppose 4*x - 5 = 3. Let w be ((-3)\/(3\/2))\/(19 - 14). What is the closest to r in x, -2\/7, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.1 (b) 14\/11 (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 59. Solve x*h - 1 - 11 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*11\/((-220)\/(-10))*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*k - 2*k - 62 = 0, -3*k = 4*h + 70. Let z(o) = -o**2 - 17*o - 13. Let v be z(h). Solve 3*l + 18 = -v*p, 3*l + 0*p - p = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(245) + 1)**2 + (-2*sqrt(405) - sqrt(405))\/sqrt(9) + 1.\nAnswer: 5*sqrt(5) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 758, 778, 802, 830?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 1.4. Let y = 6 + -8. Let i = k + y. Is i > 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 r when three letters picked without replacement from rqiq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -5, 5, 34, 42 in decreasing order.\nAnswer: 64, 42, 34, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6985003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 0 + 0)*(-3 + 3 - 7)*(1 + 1 + 4).\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 811134 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 438*z**3 + z**2 - 1334 wrt z.\nAnswer: 1314*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285*s**2 + 154*s**2 - 75*s**2 to p*s + d + j*s**2 and give j.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven fifths of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*f*h + 1852*f + 18340*h wrt f.\nAnswer: -8*h + 1852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 507138094 a multiple of 5449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 197 + -185 + (2 - 19)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 436536958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 21*v + 57. Let u be n(6). Let i = 7 - 4. What is the third derivative of i*d**2 - 2*d**2 - 16*d**2 - 10*d**u - 26*d**2 wrt d?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -650.07 rounded to the nearest ten?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5249225 equal to -5249214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525299 is divided by 1541.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1856719155?\nAnswer: 3, 5, 433, 487, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**2 - 10*b**2 - 2*b**2 + 0*b**2 + 3*b**2 - 4*b**2 + (4*b**2 - 2*b**2 - 4*b**2)*(-3 - 3 + 4).\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -5*t + 16 + 31 + 27, 3*d - 8*t = 8*t - 372 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1659289132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 5:15 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 27\/10*u**3 - 3\/20*u**4 - 28*u**2 + 0*u + 1\/300*u**5 + 0. Let q(g) = 0. What is g?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*s + 39*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-56)\/21) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578.2774 decades in months?\nAnswer: 69393.288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.592831658 to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -19*s**2. Let l(g) be the third derivative of -253*g**5\/20 - 26*g**2 - 206. Calculate l(b(u)).\nAnswer: -273999*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 11:51 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -3, -41, 3, -4, -2 in decreasing order.\nAnswer: 27, 3, -2, -3, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (120 - (31 - -22))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 16004000 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 divided by -1?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(4\/(-18))\/((-31)\/279)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + x + 22 = 4*x, -18 = 3*i + 3*x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 163 - -20.8440801\nAnswer: 183.8440801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1970 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1764 (base 16) in base 10?\nAnswer: -5988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/8)\/(54\/144). Suppose 5*t = p + 12, 4*t - 14 = z*t + 5*p. Suppose -5*j + 83 = -t. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/53))**(-8))**(-12\/13))**(-3\/41) assuming w is positive.\nAnswer: w**(576\/28249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 24374882 - 37400882. Round g to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 2 + v**3 - 5*v + 3*v**4 + 3 + 3*v - 4 in the form a + c*v**2 + i*v**3 + k*v + y*v**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 - 1.9. Suppose -10*q - 14 - 6 = 0. Let y be (-12 + 14)*(-10)\/(-4). Which is the smallest value? (a) w (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + 78. Let t(f) = -f**2 - 7*f - 6. Let n be t(-3). Let c = 14 + n. Calculate the remainder when o is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) 14 (c) 25 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 11*c - 1. Let i be w(-9). Solve 2*s - u + 7 = 7*s, 4*s = 3*u + i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2) + -6 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24 + -0.04. Let j = r - 0.6. Which is the third biggest value? (a) 0.2 (b) -2\/17 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 441.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162120088?\nAnswer: 2, 13, 37, 42131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 35*g - 720 = -46*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + -0.1. Let i = 7 + -8. Let u be 2\/(-1)*i\/(-6). Which is bigger: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**2 + 14*x**2 + 10*x**2 - 31*x**2 - 23 + 60.\nAnswer: 2*x**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 19*p**2 + p - 18 in the form h + w*p + c*p**2 and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*h - 366 = -144. Let t be h\/33 - (-2471)\/770*2. Solve -24\/5*d**2 + 63\/5*d**3 - 6\/5 - t*d = 0.\nAnswer: -1\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154595 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8610.0000027157 - -8610. Round k to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4389257 at least 4389262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2 + 696*f + 69498 = 0?\nAnswer: -81, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 374267651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -33. Let x = -2 + 2.3. Which is bigger: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346512493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 5, -5\/2 in descending order.\nAnswer: 5, 0.07, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 + -90 + 82 + 51?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.167 + -0.067. Let r = -4 + v. Is -14 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 8. What is the smallest common multiple of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a - 9. Let s be l(-3). Suppose 0 = -3*j + 4*h - 6, 3*j + 4*h - 5*h - 3 = 0. Find the third derivative of j*n**5 - s*n**2 + 513 - 513 wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 1371788.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 181991227 plus 0.46?\nAnswer: 181991227.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -79\/6, 0.4, -5, -24\/1243?\nAnswer: -79\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -3\/8, -0.534507, -0.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -4, -1.36, -3, -68 in decreasing order.\nAnswer: 9, -1.36, -3, -4, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a*b**2 - 10*a*b*c - 193*a*c - a - 2*b**2*c - 8*b*c - 1 wrt b?\nAnswer: -2*a*b - 10*a*c - 4*b*c - 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 439202343 to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*z + 75. Let p be 28\/40 - 12\/z. What is the third smallest value in -1\/2, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42.05 * 130\nAnswer: 5466.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -342 - -575. Let t = 232 - l. What is the closest to 2\/15 in 1\/6, -5, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*b + b - 17 = 0, -2*b = 2*t - 14. Suppose d + 2*x = -4, 0*d - d = -2*x - 4. Suppose t*j - 10*j + 474 = d. List the prime factors of j.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -335 + 986. Suppose -n - m = -1658. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85241 and 39.\nAnswer: 255723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*d - 19 = -7*r, -r + 4*d + 14 = 0. Suppose -w = w - 36. Solve -4*g - r = w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 17. Suppose 5*k - 75 = -2*m, q*k - 21 = 3*m + 24. Let r = 12 - k. What is the nearest to 8 in -0.2, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 19*x + 19. Let f be w(18). Let o(l) = 4*l - 1. Let d be o(f). Factor -4 + 8 - 6*y + y**d - 4*y**2 + y**3 + 4*y.\nAnswer: 2*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*a + 9*a + 24. Let p(h) = h**2 + h + 6. Let g be p(0). Suppose -3*i + g*i = 0. Solve i*w - a*w - 8 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -149d95 (base 14) to base 12.\nAnswer: -2a8013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.0675698 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 436795055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1805757 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 45*c**2 - 1 - 2.\nAnswer: 45*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.32 + -0.22. Which is the closest to -0.7? (a) 1 (b) n (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3152546 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 13 = 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.32 - -19.4237. Round h to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 5. Let c(f) = 4*f - 9. Let i(y) = -4*c(y) + 7*p(y). Let z be 0 + 2 - 1 - 0. Let m = 1 + z. Calculate i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*t + 28*t + 48. List the prime factors of (-2 + (-34)\/t)\/((-3)\/(-96)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 - (-1 + 4 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(1 - -2)\/6. Suppose 3*q - 6*q = s. Suppose q = -5*c + 4*c + 27. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5, -f = 4*a - 7 - 10. Find the second derivative of 15*l - 10*l - a*l**4 - l**4 wrt l.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -273601?\nAnswer: -273604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-43872006)\/(-8) + -1 - (-102)\/408. Round l to the nearest 100000.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4296 and 8328.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 8:10 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 10*m + 24. Let s(q) = -6*q - 6. Let v be s(-2). Let f be g(v). Factor -3*l**2 + 3\/2*l**5 + f*l**4 + 9\/2*l - 6*l**3 + 3.\nAnswer: 3*(l - 2)*(l - 1)*(l + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2712394871 is divided by 9284.\nAnswer: 9283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + (4725\/36)\/21. Which is bigger: 111 or b?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 378848552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148766 is divided by 6328?\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2\/10*1*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (sqrt(21) - (sqrt(21) - (sqrt(84)*6 - sqrt(21)))))\/(1*sqrt(243)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**6\/18 - 6*b**5\/5 - 25*b**4\/12 + 12*b**3 - 32*b**2\/3 + 3053. Suppose i(g) = 0. Calculate g.\nAnswer: -16, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iimm when four letters picked without replacement from ifckfisms.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 151*u + 2070. What is the thousands digit of g(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10277281, -1, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 8*k - 13*k + 12 + 9*k. Let i be g(11). Calculate the greatest common divisor of 9 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -20. Suppose -3*f + m = 2. What is the third derivative of -4*j**f + 2*j**2 + 4 - 4 - 7*j**2 wrt j?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 930516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -16 - 1244\/(-52) - 8. Put -6, i, -4, -1\/5, 0.1 in ascending order.\nAnswer: -6, -4, -1\/5, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006624612 rounded to 6 dps?\nAnswer: -0.006625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8)*2)\/((-4)\/(-12)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - -2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.895 * 21664.\nAnswer: -474333.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 419 - -774. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1190 divided by 2\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2835530?\nAnswer: 2, 5, 283553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 5*o**2 - 5*o + 3. Let i(r) = r**2 - 8*r + 16. Let u be i(6). Give d(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56612 - -84316. Are a and 27704 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6 - 2*w + 13*w**3 + 2 - 15*w**3 - 4*w - 5*w**2. Let j(o) = -13 - 14*o**2 + 64*o - 81*o - 5*o**3 + 2. Give 4*j(m) - 11*r(m).\nAnswer: 2*m**3 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -10*z**2 + 8*z - 21. Determine b(2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/6 of a decade?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 11:19 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.1 (b) -1954 (c) 1 (d) 1201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 12190\nAnswer: -2\/6095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*b + 758, -2*p + p = -2*b - 388. Let w = -127 + p. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = 0, -25 = 2*y - 3*j + 68. Let k be y\/(-3)*(-10)\/(-5). What are the prime factors of (-8)\/k + (-471)\/(-7)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006264 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i**(-4)*i*i**(1\/7))\/(i**(-6)*i*i*i**(-3\/8)) assuming i is positive.\nAnswer: i**(253\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*p = 334*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3950 and 1378150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1376828?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 12:41 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-30) + (-112)\/42. Which is the nearest to -1? (a) k (b) 2\/7 (c) -4\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37484?\nAnswer: 2, 9371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 4:21 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 177800 + -2161829\/12. Let x = 1751 - -600. Let s = x + a. What is the common denominator of s and 51\/5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 4774 divided by 3459\nAnswer: 4774\/3459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22 - 610*b**4 + 12 - b**2 - 5 + 22 wrt b.\nAnswer: -14640*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 2\/3 (b) -2\/7 (c) 0.02 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 4*i**2 - 7*i + 5. Let x be y(5). Let q be 40\/(-600) - (-3418)\/(-30). Let s be 8 - 16\/((-224)\/q). Sort 2, -4, s, x.\nAnswer: x, -4, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3*-15)\/((-2)\/(-1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 13. Let j be s(13). Suppose 0 = -5*y + 5, -2*x + y + j*y + 7 = 0. Solve -5*b - 16 = -z, 3*b = 6*b - 2*z + x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 63*f + 58*f + 166*f - 26 - 283*f. Determine i(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 6:29 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -21 times -36\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 12*t - 7*t + 10, t = -3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/30)\/(2*(-4)\/920). Suppose 3*c - d = 8. Calculate the highest common divisor of c and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(4 + 2)\/(1 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(0*r**2 + r**2 + 2*r**2) + 103*r**2 - 35*r**2 - 22*r**2.\nAnswer: 49*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -8*g - 1820. Find the second derivative of g*u**2 + 13*u**4 - 364*u**2 + 13*u wrt u.\nAnswer: 156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/156 and -95\/18?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3888*j**3*p - 2311*j**3 - j**2*p - 15*j*p + 31*j + p wrt p.\nAnswer: -3888*j**3 - j**2 - 15*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 18*c**2 - 16*c + 258. Calculate b(18).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**5\/15 + f**4\/12 + f**3\/6 + 7*f**2. Let o be k(-1). Factor 0*i**2 + 0*i**4 - 2\/11*i + 4\/11*i**o + 0 - 2\/11*i**5.\nAnswer: -2*i*(i - 1)**2*(i + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 20 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 4438?\nAnswer: 44380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -4*u + 13, u - 5*l = -u + 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + w - 2. Let x(t) = 3*t**3 - t + 3. Give 5*s(h) + 4*x(h).\nAnswer: 2*h**3 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.5 (c) 1 (d) -2894\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.08 - -0.08. Let k = 1246 + -1243. Which is the second biggest value? (a) -1 (b) k (c) 4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30251547 divided by 495927\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - s - 2 + 8*s - 10. What is the tens digit of q(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 1\/12*q**4 - 3*q + 0*q**3 + 0*q**2 + 7. Let i(p) be the first derivative of b(p). Let f(z) = -6*z. What is f(i(o))?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**5\/30 + 5*r**4\/24 - 41*r**3\/2 - 43*r**2 - 2*r. What is the units digit of m(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 671166285 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o\/(o\/(o*o**(-40))*o))\/o)*o*o**(9\/2)\/o*o\/o**11*o**(26\/3)*o*o assuming o is positive.\nAnswer: o**(283\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -589, -584, -577, -568?\n\"Answer: o**2 + 2*o - 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5702, 22802, 51300, 91196, 142490, 205182?\n\"Answer: 5699*m**2 + 3*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10278 and 150744.\nAnswer: 452232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*b + 5. Solve m - 6 = -2*l + l, -2*l = -5*m + b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -43316, -3, 73 in increasing order.\nAnswer: -43316, -4, -3, -1, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4 + -9.4. Let r = l + 6. Let f = 5 + -3. Sort f, r, 0.09 in decreasing order.\nAnswer: f, 0.09, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -11*x + 5. Let t be y(0). What is the biggest value in 1, t, 3, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14969957 = 9*a + 2846957. What is a rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 4*z - 4. Find the first derivative of 10*n**4 - 11*n**4 - z + 7 wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/(64\/(-5760))*(-60)\/45\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7 + 2*j - 2*j + j. Suppose -1 = 5*r + h, 3*r - 4 = 2*r + 4*h. Suppose 0 = -3*f - 3*g, r*f = 3*f + 4*g. Determine o(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 4*x**2 - 7*x - 3. Suppose 0 = -4*q - 32 + 12. What is a(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 14501.\nAnswer: -28\/14501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1+15.085\nAnswer: 16.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 573577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/719? (a) 0.5 (b) -0.8 (c) -15\/17 (d) 4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -13*f + 2. Let r(t) = -25*t + 5. Suppose 38*k + 20 = 96. Calculate k*r(n) - 5*u(n).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c0 + -3ae?\nAnswer: -47e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrnrrrrrrrrrrr.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.1 - 12.3. Let o = 46 - 137\/3. Sort o, 5, t, -5 in ascending order.\nAnswer: -5, t, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 1. Let a be 8 - -3*(2 + -3). Let t be j(a). Let b = -16\/153 + -2\/17. Sort 2, t, b in decreasing order.\nAnswer: t, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -148 - -160. Suppose 3*r + p - 33 = 0. Calculate the remainder when 34 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -5, -15.042, 0.4, 0?\nAnswer: -15.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -23*m + 185. Calculate o(6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-548)\/(-210) - (-7)\/35 and 41\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-9))\/(((-420)\/54)\/((-45)\/(-270))).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 236*k**3 - 55*k**2 + 4*k + 217. Let l(s) = s**3 + 13*s**2 - s + 1. Let c(h) = 4*l(h) + w(h). Differentiate c(y) wrt y.\nAnswer: 720*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 5. Let z be p(4). What is the third smallest value in -2\/5, z, 5\/43?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 15273184*f + 15273183.\nAnswer: (f - 15273183)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11177902051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - -5*sqrt(1331)*2)**2 - (0 + sqrt(1331))*-5.\nAnswer: 55*sqrt(11) + 161051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2425 (base 6) to base 5.\nAnswer: 4333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w - 6. Suppose s + 624 = -5*i + 650, 11 = -4*s + 3*i. Let g(o) = -1. Determine s*a(m) - 4*g(m).\nAnswer: -8*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335488*h - 335490*h + 670987*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*r + 1 - 7 = 0, 2*c + r - r = -2*r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 3*n + 457 = -2*u, 0 = 3*n + 3. Let m = u - 47. What is the remainder when m is divided by 85\/4 - (-14)\/8?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2822681 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 0.161.\nAnswer: 0.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**2 - 31*t - 36. What is p(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26 from 78.7377.\nAnswer: 52.7377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 1\/6, -67?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 6*h - h - 89 + 26*h.\nAnswer: 15*h - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o + 13. Let c be s(4). Let p be (4\/c - 0) + 2. Calculate the common denominator of -29\/18 and 1089\/(-540) + (-2)\/p.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f**2 + 60*f - 31. Determine v(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455.08mm to micrometers.\nAnswer: 455080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.0234, 1, -0.5, -3 in descending order.\nAnswer: 1, -0.5, -3, -3.0234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16 - (3\/3 - 3). Let n = 9391\/6 + -1569. What is the common denominator of n and (-375)\/k*1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -16. Let s = -10 + x. Let g(k) = 639*k - 4458. Let u be g(7). Calculate the highest common divisor of u and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21689 - 2*s**2 + 10817 + 100*s**3 + 2*s**2 + 10864.\nAnswer: 100*s**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 10, -2*k - 131*v = -129*v - 146. Solve -3*f + 18*f + k = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(8\/(-2))\/4. Let o be (-1)\/z + (-3758)\/4. What is o rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**(-1))\/g)*g*g**(-1\/2))\/((g**(-1\/3)\/g)\/g)**(-30))**(-47) assuming g is positive.\nAnswer: g**(6345\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 1. Suppose 4*u = -36, 2*u - 38 = -2*t - 92. Let r(w) = 12*w**2 - 5*w**2 + 6 - 6*w**2 - 6*w - 4*w**2. Determine t*o(f) + 3*r(f).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -254*h. Let f be d(-4). Let y = 31344480\/30877 + -138\/2807. Let z = y - f. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -23. Suppose 20 = 3*z + h*z. Suppose -z*j = -46 - 246. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -30) + (-52 - -10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 5*b**2 + 5*b - 9. Let d be c(-7). What is the highest common divisor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39132 is divided by 46.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4776)\/796*(-2*2\/4)\/((-30)\/(-185))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -353 (b) -5 (c) -0.5 (d) -290\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8*g + 208. Let o = 29 + g. Let k = -16 - o. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 35. Solve -n*b + 5*b - 12 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 497965?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, l: 2, w: 2, e: 3, x: 1}. What is prob of picking 3 o and 1 e?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 8*b - 4. Let d be 4\/(-10)*1*-5. Suppose 3*z + d*z = 30. What is the smallest common multiple of z and s(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 2*t - 11. Let v be b(-5). Suppose -4*k + 2*u + v = 4*u, 3*k = -u + 4. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 40*p. Let y(r) = 10*r - 270. Let m(v) = -9. Let n(u) = 30*m(u) - y(u). Calculate -26*n(l) - 6*z(l).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26294?\nAnswer: 2, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -27684*s. Let c(k) be the second derivative of k**3\/6 + 7*k - 440. Give w(c(y)).\nAnswer: -27684*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 41295923939?\nAnswer: -41295923940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7.932?\nAnswer: -6.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 2:48 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-4*(-4)\/(-8)*44\/(-22)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 2383?\nAnswer: -2374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - 49) + (0 + -5 - (-3 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 2*f + 4. Let k(u) = -22*u**3 + 8*u + 2517. Let o(y) = -k(y) + w(y). What is the derivative of o(m) wrt m?\nAnswer: 69*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/12 + w**2\/2 + 26*w - 1. What is the first derivative of i(u) wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -653*x - 48*x - 6 - 252*x + 122*x to n*x + l and give n.\nAnswer: -831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/280 and -87\/200.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*j - 8389 + 16804 - 8415.\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -21, -30451, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167961.\nAnswer: 3, 55987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*sqrt(245) + -4 - 1*1*sqrt(245)) + (2 + 0 + sqrt(245) + sqrt(245))*-6 + -2)**2.\nAnswer: 3360*sqrt(5) + 55381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 13*x - 4. Give f(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpjv when four letters picked without replacement from pvpjpppvv.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3402))\/(-6*sqrt(96)).\nAnswer: -3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 2. Let i(n) = 3*n - 21. Let y(g) = 5*g - 32. Let x(t) = -8*i(t) + 5*y(t). Let f be x(-8). Calculate v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 25 + 36 = 2*v, -v + 4*z + 63 = 0. What is the smallest common multiple of v and 9?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*y. Let i(x) = -x + 4. Let d(s) = s. Let v(k) = 2*d(k) + i(k). What are the prime factors of v(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69252, -69306, -69360?\nAnswer: -69414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**5\/60 + o**4\/24 + o**3\/6 + o**2 - 11*o. Give x(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 694.3883 kilometers to meters.\nAnswer: 694388.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.802 and 9.24.\nAnswer: 7.41048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (-4 + 1 - (-35)\/7). What is the second derivative of 15*l**5 + 11*l - l**5 + c*l**5 + 5*l wrt l?\nAnswer: 380*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 169, 388, 705, 1126?\nAnswer: 1657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-6 + 7 - 3)*(1 + 1 - 1 - 2*p**2).\nAnswer: -8*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3318 to two dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73814.\nAnswer: 2, 13, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37627.94cm in meters?\nAnswer: 376.2794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5607832+17556\nAnswer: -5590276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + ((-6)\/10)\/(1422\/(-30810)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b0 - 0?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562*u + 1112*u - 546*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + 0.42. Suppose 5*z - 33 = -25*z + 27. Which is the smallest value? (a) -2\/19 (b) j (c) -0.3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4004, 7578, 11152?\n\"Answer: 3574*x + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnbnnnnnnnbnnnnnbn. What is prob of picking 3 b?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljkkngljlllolllogljl. What is prob of sequence kg?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(u - 2*u + 0*u)*(14*u**2 + 11*u - 11*u).\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5257*0.0832.\nAnswer: 0.04373824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1145 = -c - 1141. Suppose 3*z + 3*m - 16 = -c, -4*m - 14 = -2*z. Let u(x) = x**2 - 5*x - 1. Let t be u(5). Sort 10, 4, t, z in descending order.\nAnswer: 10, z, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.8 + -22.3. Let c = 8.5 + h. Let b be (-3)\/84 + (-2)\/8. What is the closest to -2\/5 in c, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*k + 15 = 135*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/4 (c) 2\/19 (d) -112 (e) -13604\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Suppose -2*n = -p - 5*n + 12, g*n - 3 = 3*p. Suppose p = -5*w - 2. Sort -5, w, 3 in descending order.\nAnswer: 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 12*b**2 - 19*b - 6. Is 16 a factor of f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -103.35 * 4\nAnswer: -413.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 32. What is p in 3*p + 188 + 10*p - 84*p**a + 7*p + 256*p**4 - 256*p**3 - 196 + 72*p**2 = 0?\nAnswer: -2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -1287\nAnswer: -1286.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2065 (base 7) in base 15?\nAnswer: -33d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -679323, -27.\nAnswer: -679323, -27, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11378*k*p + 61204*p wrt k?\nAnswer: -11378*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211963376.\nAnswer: 2, 13247711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1)\/(4\/((-12)\/(-3)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let r be (5\/15)\/(3\/((-27)\/(-1))). Let m(u) be the first derivative of 0*u**2 + 1\/3*u**r + 0*u - 7. Determine m(p(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 727504?\nAnswer: 7274a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 9:14 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -952 + 954. What is the second biggest value in 69, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is af (base 16) in base 3?\nAnswer: 20111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2920 by -365.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, 0.3, 0.39, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69 and 342387978.\nAnswer: 7874923494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195740 is divided by 97855?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 - u**2 + 74 - 1102.\nAnswer: 3*u**2 - 1028","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -675 - -684. Let w = -10 - -20. Let r be (63\/5)\/(2\/w). What is the highest common factor of r and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13466348218 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + 2*q + q**3 - 6*q + 20*q**4 + 3*q as u*q**4 + w + m*q**3 + d*q**2 + f*q and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*v + 164, -5*v + l + 280 = 6*l. Let j = v - 56. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z + 35 = n, -4*n + 2*z = -136. Suppose 2*j - n = 11. Suppose 4*c = 3*c + 4*t - 10, -c - 4*t + j = 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 + 4*m - 4*m + (m**3 + 4*m**3 - 4*m**3)*(3 + 1 - 3) - 744*m**3 + 214*m - 107*m - 107*m.\nAnswer: -741*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 53, 46, 39, 32, 25, 18?\n\"Answer: -7*f + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 900 divided by 36\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-5)*(-68090)\/(-9904)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -1252*f**7\/105 + 11*f**5\/60 + 143*f**3\/6 + 1474*f**2 + 2*f. Find the third derivative of s(d) wrt d.\nAnswer: -60096*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 20*v**2 - 11*v - 20. Let j(k) be the second derivative of 7*k**4\/12 - 2*k**3\/3 - 7*k**2\/2 + 2*k + 76. What is -11*j(w) + 4*t(w)?\nAnswer: 3*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 + -30?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a century?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*j - 5*t, 3*t = 2*j + 11 + 1. What is the units digit of 2\/j - 544\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4225 and 651820.\nAnswer: 42368300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 2126\/23439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 74*l + 7033. Let b be j(-95). Solve 53*i = 51*i + p - b, 3*p + 15 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 - -0.1. Let g = 4 - 3.46. Let q = g + -4.54. Which is the closest to k? (a) 5 (b) q (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201 - 46 + 606*p - 52 - 52 - 49.\nAnswer: 606*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (0 - -9)) + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 4*b**2 + 4*b + 10. Let q be c(-4). What is the remainder when (-14)\/(-21) - 530\/q is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*a*i**4 + a*i**3 + 2*a - 29*i**2 - 2 wrt i.\nAnswer: 912*a*i + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 70760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 39*z - 14*z - 8*z - 15*z. Let d(y) = 1. Let k(b) = -2*b**2 - 30*b + 5. Let r(a) = 5*d(a) - k(a). Determine v(r(i)).\nAnswer: 4*i**2 + 60*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + z - 2830 = -2*z, -5*z - 1732 = -3*r. Let v(s) = 4*s**2 + 569 - r. Let y(o) = o**2. What is v(y(j))?\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 1)*((-10)\/(-2) - 6). Let g(x) = x**2 - 11*x + 10. Let y(j) = j**2 - 9*j + 7. Let c(a) = 4*g(a) - 5*y(a). Determine c(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -111111?\nAnswer: 1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*316\nAnswer: 126.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*l - 13 - 27, 20 = -o - 5*l. Suppose 0 = -o*k - 2*b + 285, 4*k - 3*k = 5*b + 57. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3843 - 2?\nAnswer: 3841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(405) + -2*sqrt(405) + 0)**2.\nAnswer: 72*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 380865092, 380865093, 380865094, 380865095, 380865096, 380865097?\nAnswer: 380865098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.119 in 2, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 3. Let b = y + 2. Calculate the remainder when 25 is divided by b - (41 - -1)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*r + 31*r**4 + 109*r**4 - 2*r**3 - 144*r**4 in the form k*r**2 + i + l*r**4 + a*r + u*r**3 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*h - 1)*(-h + 1 - 1)*(-233 + 69*h + 57*h - 128*h).\nAnswer: 6*h**3 + 699*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (0 - 3) - -2. Find the first derivative of 141*r**3 - 6*r - 135*r**n - 29 - 57 wrt r.\nAnswer: 18*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n = -64. Let f(a) = a**3 - 6*a**2 - 8*a + 7. Let q be f(7). Suppose q = -4*v - 0*v + n. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.2 - -9.75. Let s = -0.95 - r. Put s, -0.02, 0.4 in descending order.\nAnswer: 0.4, -0.02, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -425?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*o + o. What is the first derivative of -2*b + 4*b - 2*b - 6 - o*b**2 wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*w - 196 = 30*w + 53*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1884263 divided by 1884263.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + 3 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 - 74 - 3*j**2 + 2*j**2)*(2*j**2 + 5*j**2 + 4*j**2).\nAnswer: -11*j**4 - 66*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -2)*3\/63. Put 0.3, p, 0.9 in ascending order.\nAnswer: p, 0.3, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 13 + 5 = 0. Let i = a - -1. Let c = 11 - i. What is the highest common divisor of 16 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.8 and -91014717.\nAnswer: -91014713.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((2 - 4) + 3 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 110692, 110432, 110172, 109912?\n\"Answer: -260*m + 110952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 40. Let k(q) = q. Calculate -b(j) - 2*k(j).\nAnswer: -2*j - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 + -21 + 13 - -24) + 26 + -7.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1069.193 + -94.703. Let h = o - 969. What is h rounded to 1 dp?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 192369*j**2 + 2*j - 7349475.\nAnswer: 384738*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 28057 divided by 5\nAnswer: 28057\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24328, -48658, -72988?\nAnswer: -97318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5*y - 3, -3*n - 2*n = -4*y - 44. Let o = -4 + n. Let b be 362\/9 - o\/18. Calculate the highest common divisor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 400191288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in 2\/11, 0.118, 2\/169?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 10391 + 9327. Calculate the greatest common factor of g and 504.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 28*s + 10. Let x = -60 + 53. Let a(z) = 9*z + 3. Give x*a(j) + 2*c(j).\nAnswer: -7*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((3 - -2) + -1)\/2. What is the remainder when 64 is divided by 13\/(5*y\/10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.6623 - 8.6623. What is the second biggest value in 0.1, -1\/8, d, 1\/982?\nAnswer: 1\/982","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m + 68. Let d be j(13). Sort -15, 2, d, 5 in ascending order.\nAnswer: -15, 2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r**3 + r**2 - 1. Let d be k(-1). Let g(v) = -193*v - 175*v + 6 + 337*v - 36*v**2 + 47*v**2. What is the tens digit of g(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 + 142 = 20*x. Let g(u) = 4 + 36 - 10 + u. What is the smallest common multiple of x and g(0)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 908 and 2025521.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 + 4*t + 3. Let y be (3\/(6\/(-4)))\/((-3)\/12). Let b(z) = -y*z**2 - 14*z + 12*z - 7*z - 7. Give -3*b(i) - 7*w(i).\nAnswer: -4*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2 + 33*q - 78 = 0.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and -277.604?\nAnswer: 33.31248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*a**2 - 788*a\/3 + 104\/3.\nAnswer: 4*(a - 13)*(15*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from emaafeaaeeamaaaez.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 28*r = 0. Let b(i) be the first derivative of -i**3\/3 - 3*i**2\/2 + 16*i - 8. Does 5 divide b(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = 4*t + 21, -2*t = 2*i + 12. Suppose 2*a + 83 = 3*l + 6*a, l - 5*a = 34. Let x = l - i. Solve -5*r + 5*n - x = 0, 0 = 3*r - n + 2 + 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 512054 + 1?\nAnswer: 512055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-1248)\/(-1120))\/(-13))\/(189\/(-30))\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 59 + 11 + -47\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 374 and 1284503.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 6:28 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -20 + 2 + 28\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-3 - 2) + 4. Let y = -25.6 - -23. Let k = y - -3. Which is the third smallest value? (a) k (b) 4\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = -3*c + 276. Solve c = -4*r - 2 - 2, -5*v + 5*r = 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4204 is divided by 248?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002087 to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(171\/(-285)*-10 + 1*(-66)\/4).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -897, -2\/9, -1\/339, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1825 + -0.182511562. Round u to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/((-450)\/84))\/(2\/5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-16))\/c)\/(c*c*((c\/c**(16\/7))\/c*c)\/c) assuming c is positive.\nAnswer: c**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert b0868 (base 12) to base 9.\nAnswer: 378518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxlxhxhhlhxxxhx. Give prob of picking 1 x and 1 l.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.4 + -7. Let d = 2.6 - v. Let c = d + -43.81. What is c rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554551508?\nAnswer: 2, 7, 53, 73, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 13*y - 53*y)*(2*y**2 - 3*y**2 + 3*y**2) + (0*y + 10*y - y)*(2*y + y**2 - 2*y).\nAnswer: -75*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -189*w**4\/4 + 87*w**2. Let v(y) = -2*y. Determine v(h(f)).\nAnswer: 2268*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5255048 divided by 4?\nAnswer: -1313762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*i**3*z + 4*d**2*i + 9*d**2*z - d*i**3*z - d*i**2*z - 3*i**3*z wrt d.\nAnswer: 4*i**3*z + 8*i + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -1\/720*q**6 + 0*q**3 + 1\/12*q**4 - 2*q**2 - 7\/120*q**5 + 0*q + 0. Let z(c) be the second derivative of p(c). What is z(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141551 is divided by 35387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -391, -386, -381, -376, -371?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43*s**3 + 4*s**2 + 116 wrt s?\nAnswer: -129*s**2 + 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 35, -1\/2, -0.025, -28, -0.045, 0.5?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(5200) + (sqrt(5200) - (sqrt(5200) + (sqrt(5200) + 0)*5)))**2 - (sqrt(5200) + (sqrt(5200) + 1*(sqrt(5200) + -1) + sqrt(5200))**2)).\nAnswer: 600*sqrt(13) + 218394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, l: 4, e: 1, v: 2, f: 3}. What is prob of picking 3 l and 1 f?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/(w*w**(-3\/7))*w*w**(4\/5))**(-5)\/(w**(-3\/2)\/w**6*w**(-2\/15)\/w*w**(-6)) assuming w is positive.\nAnswer: w**(-1367\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from beqqdb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3709 - -37057\/10. What is the common denominator of -39 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 344, 350, 358, 374, 404, 454, 530, 638?\n\"Answer: u**3 - 5*u**2 + 14*u + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k**(-11)*k)\/k*k\/(((k\/((k\/(k\/(k\/k**10)))\/k))\/k)\/k) assuming k is positive.\nAnswer: k**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0.5 (c) -1.038 (d) -2 (e) -7 (f) 0.0517\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3859*-0.08.\nAnswer: 308.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -502*l - 127. What is the tens digit of d(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.43718794457204 take away -4?\nAnswer: 5.43718794457204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.01 (b) 32 (c) 0 (d) 6 (e) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1554 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1256 or 1264?\nAnswer: 1256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v - 5. Let x(d) = -5*d - 1. Give 3*l(r) + 4*x(r).\nAnswer: 4*r - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**4 + 2*x**3 - x**2. Let j(h) = 135*h**4 + 7*h**3 - 2*h**2 - 602. Let s(u) = -j(u) + 2*w(u). What is the derivative of s(n) wrt n?\nAnswer: -564*n**3 - 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1896202659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.51 + -3.79. Let y = 26 + u. Let w = 31\/75 - 2\/25. What is the closest to 1\/2 in w, -3, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 5*u + 1. Let p be s(5). Suppose 2*d + p - 5 = 0, 0 = 3*c + 3*d - 21. Suppose 4*y = -c*w + 220, 3*w - 110 = -2*y - w. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1725 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 138*h + 7. Is s(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/4 - 13*s**3\/2 + 3*s**2\/4 + 20*s + 13 = 0?\nAnswer: -26, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4954 + 0.02097.\nAnswer: -4953.97903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*t + 3*t = -6, 4*t = h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1022*r - 9199. Let q be j(-9). Let o(y) = -29*y**2 - 15*y - 2. Let z(m) = -14*m**2 - 7*m - 1. Let b(f) = -6*o(f) + 13*z(f). Determine b(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 6 - (2 + 1). Is (y*1)\/2*(-11 - 4460) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(30)*-3)\/((sqrt(1440) - (sqrt(1440) + -1*sqrt(1440))) + sqrt(1440)) + 2*(-3 + 2*sqrt(12)*2).\nAnswer: -5 + 65*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:28 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Let p = -82 + 62. Let l be -1 - ((-525)\/p)\/(-7). Is y < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.7 and 0.1.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*k = 60*k - 132*k + 47*k + 294 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 116. Let o = v - -71. Let u = -23 - -16. Which is the smallest value? (a) o (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-688)\/20*70\/28*9\/18.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j + 163. Determine b(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m - 4366 = 59*m. Which is bigger: m or -63?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8868699 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 163553 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: Is 3160497803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*d - 70 = 229*d. Put -14, -2, 0, d in descending order.\nAnswer: 0, -2, d, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005113 rounded to five decimal places?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 23*m - 24*m**2 - 12*m - 12*m - 7*m**2. Calculate d(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**3 - 8 + w**3 + 6*w**2 + w - 5*w**3. Determine t(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -9*y**3 - 5*y**2 - 2*y. Let t(n) = -13*n**3 - 7*n**2 - 3*n. Determine 5*t(l) - 7*x(l).\nAnswer: -2*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 3. Let f(b) be the first derivative of -b**2 + 2*b + 7260. What is f(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -9*h - 9*h + 14*h. Let l(g) = g + 53. Determine r(l(t)).\nAnswer: -4*t - 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, c: 4, d: 3, i: 4, q: 1}. Give prob of picking 2 i.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 14*y**2 + y + 252. Let g(t) = -t**2. Calculate r(g(c)).\nAnswer: 14*c**4 - c**2 + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 5:30 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*sqrt(11) + sqrt(11))*-1 + 2*(sqrt(44)*1)\/sqrt(4).\nAnswer: 3 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {d: 4, i: 2, y: 2, k: 4, q: 3, l: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40.84 - 49. Let o = 0.16 + t. Is o less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let i = n + -2. Let l be (1\/7)\/((-6)\/12). Sort i, l, 5 in descending order.\nAnswer: 5, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 336801001 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -369, -535, -681, -801, -889, -939, -945?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30649139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 14*h**2 + 5. Let m be t(-14). Let v be 5 - 70\/m*-1. Suppose v = q + 4. Solve -n - 2*o - 15 = o, 4*n - q = 3*o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4749*r = 4654*r - 760 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((8 - 1) + -88 + 82)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/250 and -81\/2200.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-6)*27\/(-12). Let l be (-3)\/12 - u\/8. Suppose 2*n - 7 = 1. What is the closest to -0.1 in n, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 786204149\/24 - 32768192. Let c = z + 9690. Find the common denominator of c and -19\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - x + 5, 4*x = -5*s + 32 - 7. Suppose -4*j + 0*o = o - 11, 0 = s*j + o - 15. Let v(c) = 2*c + 7. Let z be v(-2). Is j < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143734717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-272)\/(-44) - (-294)\/(-49)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52817213 a multiple of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15233141 divided by -84161?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7283 + -7360 + -1 + 12.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490602 is divided by 1178.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*z - 3*n - 12, -17*n + 13*n = -z + 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1001000111111101110?\nAnswer: -1001000111111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 6 = -10*y. Let q = 1 + y. Solve -q*b + 0*b = -4*r + 23, -5*r = -2*b - 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffb when four letters picked without replacement from {b: 3, f: 11}?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + 0 + 0)*(3*p - 4*p + 6*p) to the form d + o*p**2 + j*p and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*k + 0*k - 124 = 0, 4*k = 4*c - 84. Suppose 4*m - c = 54. Calculate the greatest common factor of m and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*z**3 + z + 32*z**3 - z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.246101*-48\nAnswer: -11.812848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 442, 4, -2, -2\/5, 1 in descending order.\nAnswer: 442, 9, 4, 1, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 260319 divided by 2650?\nAnswer: 260319\/2650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 13*o**2 + o - 3. Let d be y(13). What are the prime factors of 404\/d - 4\/10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:34 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -20*a + 25*a + 31*a - a**2 + 181 + 3*a. Is 12 a factor of x(39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 288708 = -108552. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 102 = -58. Let t(w) = 5*w**2 - 4*w + 4. Let u(v) = 11*v**2 - 8*v + 9. Give b*u(l) - 9*t(l).\nAnswer: -l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120000 (base 3) to base 10.\nAnswer: -405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -303 + 303.73. What is the smallest value in 4, 3\/5, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 - 5850*d + 81908\/7.\nAnswer: -2*(d - 2)*(d + 20477)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**6\/1080 + v**5\/72 - v**4\/18 - 38*v**3\/3 + 3*v**2 + 8. Let i(a) be the first derivative of b(a). Factor i(o).\nAnswer: -(o - 4)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4179122860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8310197 (base 10) to base 13\nAnswer: -194c69c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 11940.\nAnswer: 107460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292, -1115, -2482, -4393?\nAnswer: -6848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -0.03292.\nAnswer: 3.96708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 5. Let x be -9*1*2\/(-6). Let s(z) = -3*z + 9. Suppose -194*m - 297 = 60*m - 1567. Calculate m*h(t) + x*s(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2047380325+-0.5\nAnswer: -2047380325.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1083 divided by 5651?\nAnswer: -1083\/5651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -2 + -3 + (35 - 22).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -7 + -2 - (4 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*m + 58 = -2*u, -205 = -5*u + 2*m. Suppose -116 - u = -5*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 780678 divided by 12798\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - 939*j**2 + 447*j + 10316. Calculate a(469).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 19*s + 24. Let c = -687 + 687. Suppose 49*l - 50*l + 17 = c. Give m(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13311451 (base 6) to base 5.\nAnswer: 103214134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.072 + 5.072. Put x, 1\/4, -5, -19 in ascending order.\nAnswer: -19, -5, 1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 14\/15 of a day?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(-1*(-8)\/216)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 7. Let g(o) = -3*o + 9. Let n(x) = 3*g(x) + 2*h(x). Let p(r) = 6*r**2. Determine n(p(t)).\nAnswer: -30*t**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 3:08 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3124?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59.64 + 0.36. Let q = -49.8 - 8.2. Let u = x + q. What is the biggest value in -0.1, -3\/5, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/9)*h**(-5) assuming h is positive.\nAnswer: h**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 16*l**2 - 17*l - 98. What is the units digit of r(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -515262 divided by -3.\nAnswer: 171754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 940, 933, 926, 919, 912?\nAnswer: 905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 + 105.84. Round i to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/5 + 144*m**3\/5 + 292*m**2\/5 = 0. Calculate m.\nAnswer: -2, 0, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 401\/1965 + -8\/1965. Let y = -1.5 - -2. Let x = 1 - y. Which is the second biggest value? (a) q (b) -3\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 6)*1\/(-1). Let s = -1 + 6. Suppose b*h + s*h - 75 = 0. Solve -w - h = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 18.65.\nAnswer: -37.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 172 = 12. Let o(a) = 5*a**2 - 201 + 194 - f*a**2 + 2*a**2. Let z(i) = -i**2 - 4. Give 4*o(l) - 7*z(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*b - 1139, -3*p + 3*b = -1586 + 455. Let x = 900 - p. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dttd when four letters picked without replacement from ddtdttdddd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + (0 + -3 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22858 + 22801 - (1 + -116)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 269*(80\/28 + -3). Let i = -38 - z. Let c be 6\/10*(-2)\/(-3). Sort i, c, -2\/11.\nAnswer: -2\/11, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 9 - 2)*(-9*x - 9*x + 8*x)*(0*x**3 + 2*x**3 + 0*x**3) to the form p*x + f + j*x**4 + q*x**2 + k*x**3 and give j.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -25, -27, -33, -49, -81, -135?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2. Let m(s) be the second derivative of -97 - 2*s + s**2 - 1\/3*s**3. Give f(m(w)).\nAnswer: 4*w**2 - 8*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 777, 779, 781?\n\"Answer: 2*l + 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpdp when four letters picked without replacement from dpddddppppdp.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5080655 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9502, 9490, 9456, 9388, 9274?\n\"Answer: -2*p**3 + p**2 - p + 9504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -562*h - 3366. Determine a(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-32)\/12)\/(2\/9). Let q be (-12)\/(-3)*(-4)\/b. Let v = 1185\/7 - 169. What is the closest to v in 1\/3, q, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/47670 and 31\/264600?\nAnswer: 60064200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -7*w**4\/24 - 32*w**3\/3 - 2*w**2 + 46. Let g be t(-14). Solve 0 = 5*u - 14 + g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 8*n**2 - 7*n + 10. Let k be 1 - 17\/(119\/(-42)). What is z(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11150 - 6194. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 21. Suppose 2*p + 5*x + 24 = 0, -6 = 3*p - x - 4. Let z be a(p). Which is greater: z or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 365839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 119*r - 2. Let h(u) = 161*u + 2. What is h(o(g))?\nAnswer: 19159*g - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -34 (c) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 830930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(95) + sqrt(95)*4*6 + sqrt(95))\/sqrt(5) - (sqrt(95) - (sqrt(95) + 6*(sqrt(95) + -4*sqrt(95)) + sqrt(95)))\/sqrt(5)) + 5)**2.\nAnswer: 90*sqrt(19) + 1567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {s: 6, b: 3, e: 1, a: 5, u: 3}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12315523 (base 6) to base 14.\nAnswer: a5667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 128, 261, 522, 953, 1596, 2493?\nAnswer: 3686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33, 125, 271, 465, 701, 973, 1275?\n\"Answer: -d**3 + 33*d**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:05 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -19. Let v(w) = w - 8. Let a(j) = 9. Let q(f) = 2*a(f) + v(f). Determine q(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36604483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q - 6. Let b(c) = 8*c + 1. Let h be b(-1). Let o(j) = -9*j + 9. Let f be (-1)\/1 + -13*(-136)\/(-442). What is f*o(t) + h*n(t)?\nAnswer: 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(3\/7)*y*y\/(y\/(y**(-1\/6)*y))*y*(y\/(y*y\/y**9*y))\/y**(-4) assuming y is positive.\nAnswer: y**(605\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 42782, 16 in decreasing order.\nAnswer: 42782, 16, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 594628.3 days to minutes.\nAnswer: 856264752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tpxwxtwxjswpjxpstp. Give prob of sequence wxxp.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 113. Let m = -4352 - -4351. Which is smaller: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 32 = -5*m, 5*f = -0*f + 15. Suppose m*w + 570 = 6*w. Let t = w + -89. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(3*o + 9*o - 3*o).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**10\/68040 + y**9\/4860 - y**4 + y**3\/3 + 44*y**2. Let w(b) be the second derivative of n(b). Factor w(x).\nAnswer: -4*x**4*(x - 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1037 + -995. Calculate the highest common factor of 168 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 112*a**2 - a - 40 + 0*a - 2*a.\nAnswer: -112*a**2 - a - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 4:04 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 4*m + m - 2*m = 0. Solve -8 = -4*w - m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 334.8 to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 1, -0.5, 0.4, 4\/27, 0.15?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-152)\/95)\/((-1)\/35). Suppose 2*x + 72 = 2*g, -5*g - x + 168 = -3*x. Suppose -5*i + g = -i. What is the highest common factor of p and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13 - 12)*6*1. Suppose -u + 91 = a*u. Suppose -u = -7*b + 36. Solve -b = -4*r + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 292, 440, 592?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-6\/13))\/(r\/r**(1\/9)))\/((((r*r**(-7)\/r)\/r)\/r)\/(r**(-12)*r*r*r*r)) assuming r is positive.\nAnswer: r**(76\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80*l**4*p**3 - 145167*l**4*p + 315*l**2*p**3 - 2*l**2*p - 8*l*p**3 + 10*p**2 wrt l.\nAnswer: -1920*l*p**3 - 3484008*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 6. Let s be t(-8). Solve 1 = -w + s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j**(1\/9)*j))\/j*j*j)\/j**(-5\/2))\/((j**(-1\/11)*j)\/j)**(-2\/59) assuming j is positive.\nAnswer: j**(51235\/11682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -167975\/12 - -14008. Let v = 28495\/25872 + 3\/1078. Calculate the common denominator of s and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57609 and 33?\nAnswer: 633699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2 - b. Let d be a(-1). Let z be (1\/(-3) - 1)*-6. Let o = d + z. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0691 + -0.0891. Let o = -2862\/7 - -408. Put 0.4, o, d in descending order.\nAnswer: 0.4, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 0*c**3 - c**2 - c + 3*c**2 + 3*c**3 - 2*c**3. Let t be y(1). Suppose -t*s + s + 5 = 0. What is the remainder when 9 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a + 2*a + 0*a**2 - 3*a**2 + 2*a**2 + 8*a**2 - 4*a**2.\nAnswer: 3*a**2 + 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-1) - (-32)\/16\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.34 and -457.35.\nAnswer: -457.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1071 - -1071. Which is the third smallest value? (a) w (b) -53 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*t - 14 = 0, 2*t - 1 - 1 = -4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -3.7, 287, -1, 8.44?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 140716334, 140716339, 140716344, 140716349, 140716354?\n\"Answer: 5*y + 140716329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 22044542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t + 42*t + 74*t = 3473 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*g + 26, 4*g - 2 = m + 14. Sort m, 6, -1, 0 in increasing order.\nAnswer: m, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppv when four letters picked without replacement from {v: 9, p: 7}.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -41b + -e?\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5878640 divided by -12?\nAnswer: -1469660\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2036*t + 92896 = -6868 for t.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 658741951 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4*71*(39\/6)\/(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/4370088 and 77\/32775660?\nAnswer: 65551320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(-1)*j))\/j)**(2\/3)*(j**(-1\/2)\/j)\/(j\/j**(-1)))\/((((((j\/j**(2\/5))\/j)\/j)\/j*j)\/j**5)\/(j**0)**(-2\/45)) assuming j is positive.\nAnswer: j**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1463 and 890549.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167 = -5*t + 2*u, -143*t - 4*u + 3061 = -56*t - 0*u for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 307 + 213. Let u(r) = -27*r + 738. Let f be u(28). Let w be l\/234 + 4\/f. Sort w, -1, 0 in ascending order.\nAnswer: -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*t**5 - 12*t**4 + 909*t wrt t?\nAnswer: -120*t**3 - 144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2360 divided by 1?\nAnswer: 2360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one eighths of a day?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 6) + -2 + 5 + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:15 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9355, 4 in descending order.\nAnswer: 9355, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*j**4 - c*j**3 - 304*c*j**2 + 23*j**3 wrt j?\nAnswer: -48*c*j - 6*c + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) - 10\/(-6). Suppose 8 = 2*p - s*g - g, -6 = 4*p + 5*g. Let a = 7 - p. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 3*k + 4. Let f be s(-4). Which is greater: 7\/8 or f?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 14*d + 17.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 * 7\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or -0.39?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2*1\/((-6)\/4)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 102*-5\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - t**2)*(1 - 2 - 1)*(-2*t + 3*t - 3*t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34568?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-99))\/(102\/748).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74709 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*k - 18, -4*s + 7*k = 2*k - 33. Factor 12*d - 5*d - s*d**2 - 15*d - 18*d + 28.\nAnswer: -2*(d - 1)*(d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**7\/504 - 7*p**5\/120 + p**4\/4 + 7*p. Let g(f) be the third derivative of a(f). What is the first derivative of g(n) wrt n?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000151 rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 871334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84263 (base 9) to base 13.\nAnswer: -1c419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -2*n + o + 61, 5*n = o + 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -191*o + 139 + 52. Solve 0*q - 25 = -5*c - o*q, -5*q = 5*c - 40 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -506600 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -371, -556, -735, -908?\nAnswer: -1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24*((-2046)\/24)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8355 - -2.5355. Do 48\/133 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 18.2. Let q(x) = -x**3 + 6*x**2 - 4*x - 6. Let f be q(5). Let g be -7*(f - 2 - -4). Which is the nearest to 0.1? (a) g (b) m (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 17. Let t = -11.000135 - g. What is t rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31863 greater than 63723\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -499125*o**4 + 1206975*o**3 - 1042470*o**2 + 387348*o - 52728.\nAnswer: -3*(o - 1)*(55*o - 26)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 283, 636, 1131?\nAnswer: 1768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.093627 rounded to 3 decimal places?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20 + 24*i + 16*i**4 - 21 + 39 wrt i?\nAnswer: 192*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - -169509?\nAnswer: 169525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from detteyndeeententn. What is prob of picking 2 d?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33 and 0.02?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.14 <= -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 622\/7 + -89. Let r = -643\/7 + 92. Sort r, y, 0.2 in decreasing order.\nAnswer: 0.2, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/162*(-56)\/(-154)*286\/4?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1364338 divided by -13246?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t**4 + 626*t**2 + 23*t + 163920?\nAnswer: 4*t**3 + 1252*t + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i**(1\/2)*i**(-2\/11)*i**(-1\/9)*i)**(1\/7) assuming i is positive.\nAnswer: i**(41\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -314802723 and -0.1695.\nAnswer: -314802723.1695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -4*r + 6*r. Let i = 758 - 757. Calculate the highest common factor of i and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 7*p + 27. Let i be 4\/(-14) - (-6)\/21. Let r = 5 + i. What is the remainder when p is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4925*h - 123105. Give z(25).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.449 in 6, -0.048, 3\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**6\/120 - i**5\/15 - i**4\/24 + 7*i**3\/6 + 11*i**2. Is 3 a factor of a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5550.39g to kilograms.\nAnswer: 5.55039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -0.01, 1.48 in descending order.\nAnswer: 1.48, -0.01, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4466 is divided by 300?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, b: 5}. What is prob of picking 3 a?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.005 + -0.315. Let i = -0.01 - q. Let j = -93341\/2 - -46671. Which is the nearest to j? (a) i (b) -0.3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 18, x: 2}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 10:48 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -147 + 498. Suppose 5*r - 52 = r - 0. Calculate the highest common divisor of t and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one thirds of a year in months?\nAnswer: 284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**3 + 20230*h**2 - 590875*h = 0. What is h?\nAnswer: -4075, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1300611723?\nAnswer: 3, 433537241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/16)\/(2\/(-8)). Let w = 3 - i. List the prime factors of w - (2 + -7 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-3 - -3) + (-2 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 11:54 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 4. Let t(x) = -2*x**2 - 5. Let v(k) = 4*t(k) - 5*w(k). Let j(z) = 3*z**2. Give v(j(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:41 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166209.2 millennia to months.\nAnswer: 1994510400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -277.23 + 277.2787. Which is smaller: -3 or k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5146 - 10?\nAnswer: 5136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -56854\/111 less than -511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, l: 4}. What is prob of sequence ll?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -3*h**3\/2 - 3*h**2 - 3*h\/2 - 25. Factor x(k).\nAnswer: -3*(k + 1)*(3*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 6*x**2 - 9*x - 2. Give i(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1090 (c) 0.5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2484)\/115 - 4\/10. Let v = 17 + m. Sort -0.01, v, 1\/3 in descending order.\nAnswer: 1\/3, -0.01, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 690 and 18?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3504414 and 5050479.\nAnswer: 171716286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31251056 and 5361?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -7. Let o = -0.046 + -5.954. What is the closest to o in 2, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2690 (b) 0.4 (c) 0.3 (d) 5 (e) -0.1 (f) -273\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -388 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 41?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -259 in -6, 2, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -7. Let j be (a - -3) + (8 + 0 - 2). Suppose 3*y - 11 = -j*s, y - s = 3*s + 15. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25\/2 + 14. Factor 0 + 3\/2*b**3 + 0*b + f*b**2.\nAnswer: 3*b**2*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 6\/13, 1\/7, 5, -1360, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78036 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 664584957 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9267, 9271, 9275, 9279, 9283, 9287?\nAnswer: 9291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -95, -284, -587, -1016, -1583, -2300, -3179?\n\"Answer: -2*t**3 - 45*t**2 - 40*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 1, p: 2}. Give prob of picking 1 r and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1024665.1 - 1024768.09959. Let m = -76 + -27. Let r = c - m. Round r to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -5*q**3\/6 - 3*q**2 + 224*q. Let c(l) = 4*l + 5. What is 6*c(b) + 5*f(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41858 is divided by 41793?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19563*n - 32 = 19564*n + 8*f, -5*f = n + 35 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwo when three letters picked without replacement from {w: 13, o: 5}?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*a + 99 - 99)*(4*a - 8*a + 2*a + 4)*(0 - a + 0).\nAnswer: -204*a**3 + 408*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 3 (b) -5 (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:36 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 202*p - 175*p - 1652589. List the prime factors of p.\nAnswer: 97, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*a + 1572 + 10011. Is a > 429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-6\/7)*b*b**(4\/7)*b*(b*b**(-2\/5)\/b)**(-25) assuming b is positive.\nAnswer: b**(101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1403?\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 0*b + 0*b. Let h be 36 - 33 - 3\/3. Calculate m(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4*t - 2580522 = -2580486, 0 = -2*a - 3*t + 43 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = 3*f. Let m(b) = -10*b**3 - 19*b**2 + 3*b + 12. Let t be m(-2). What is the units digit of (f - t) + 127 + -3 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 1. Suppose 4*u = -f - 8, 0*f - 20 = 4*u - 2*f. Let i be (u + -3)\/(-2*1). Let p be i\/(-1)*5\/(-3). Give l(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -797669, -797643, -797617?\n\"Answer: 26*h - 797695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -411020030?\nAnswer: 411020031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z - 21*z + 14*z + 8. Let u be x(-13). What is the units digit of ((-4)\/u)\/((-4)\/1850*-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1695 - 10366*w + 852 - 16636*w + 843.\nAnswer: -27002*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 p, 1 l, and 1 x when four letters picked without replacement from ypwpnpynyxpyxlw?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -3, 180, -17, -11, 2 in ascending order.\nAnswer: -23, -17, -11, -3, 2, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25)\/(-125) + -2*38\/180. What is the second smallest value in n, 2, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2376, -4740, -7104, -9468, -11832?\nAnswer: -14196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.32, 1, -2, 4, -1, 0.8 in descending order.\nAnswer: 4, 1, 0.8, -0.32, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/59590451 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65 or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(j - 2*j - 5*j)*(3*j - 3*j + j**2 + 2) - 22*j**3 + 2*j**2 - 2*j**2 to v*j**2 + i*j + x*j**3 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 39*w**2\/2 + 35*w - 54. Find the first derivative of y(q) wrt q.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 10 + 4. Let g = m + 5. What is the third derivative of -6*v**2 - 4*v**2 + g*v**2 - 4*v**4 wrt v?\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 5*s**2 + 6*s + 3. Let p be d(-6). Suppose 9*n - 558 = -p*j + 4*n, n = 5*j - 958. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*n*p**3*v + 2*n*p**2*v + 2*n*v + 381*p**3*v + 2213*p**2 wrt p?\nAnswer: -60*n*v + 2286*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(25\/7))**(-2\/15) assuming d is positive.\nAnswer: d**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -0.13834258919.\nAnswer: 7.86165741081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9286, -37137, -83556, -148543, -232098, -334221?\nAnswer: -454912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2947 a factor of 24396585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 2. Let q be f(0). Suppose -k + q = -2. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0383 * 0.2167036\nAnswer: -0.00829974788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from {s: 6, n: 3, p: 4, b: 3, k: 3}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 14916 - 14946 = 0. Solve -p*k = 18*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3466499.\nAnswer: 3466499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h + 4. Let f(t) = 3*t**2 + 2*t + 1. Let n be f(-2). Let w(b) = 13*b - 9. Let m(x) = n*j(x) + 4*w(x). Let g(k) = -16*k**2. Calculate m(g(a)).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21462490 is divided by 169?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 0 + 14 + -21 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2. Let v(p) = 3*p**2. Let a(u) = -6*c(u) - 5*v(u). Let s(y) = -3*y**2. Determine s(a(z)).\nAnswer: -243*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 - 40*y**3 + 9490*y**2 + 38280*y - 4579245.\nAnswer: -5*(y - 29)**2*(y + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12240.6 - 12240.9. Let t = -419\/19383 - 2\/497. Which is the closest to y? (a) 2\/3 (b) t (c) 2\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16839970*d**2*h**2 - 40235830*d**2 wrt h?\nAnswer: 33679940*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 697\/35 + -101\/5. Let l = 0.96 + -1. Which is the second biggest value? (a) s (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-34) + 351\/(-51) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y - 3*n = -31*y + 24, -40 = 6*y + 5*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.00913*0.2\nAnswer: 0.001826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.060124361 rounded to five decimal places?\nAnswer: 0.06012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-22)\/392) - (-6)\/(-33). What is the tens digit of z\/45 + 244\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 252*x + 1001. Let p be g(-4). Sort p, 1, -3, -23 in ascending order.\nAnswer: -23, p, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a + 0*a + 5*a + (-2*a + 19*a + 44*a)*(8 - 5 + 1))*(-1 + 4 + 0)*(2 - 2 + 2) to l*a + h and give l.\nAnswer: 1470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 933058?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 504 and 448?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -110000?\nAnswer: -110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/679 and 44\/6111.\nAnswer: 6111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20909 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*i - 49, 0 = -5*i - 0*i + 3*p + 51. Suppose 0 = 3*m + 21 - i, 212 = -5*y - 3*m. Round y to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 41518110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*(14\/5)\/(-1). Suppose -k = 2*d - 6*d. Suppose -d*v + 55 = -2*v. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 9 = -3*f - 66, 0 = 4*c. Let v be (14 + f)*(3 + -2). Let p = 5 + -8. Sort p, v, -2 in decreasing order.\nAnswer: -2, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-14 - (5 - 9) - 0) - (-80 + 0).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19454003 is divided by 39702.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 6:13 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-one fifths of a millennium?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from zyzzccyzykyk.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 10:22 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 1, 5, 0, 4 in descending order.\nAnswer: 5, 4, 1, 0, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*m. Suppose 8*q - 3*q - 15 = m. Let l = 1038 - 1034. Solve -q*z + 5 = b, -2*b - z - l = -2*z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 t when four letters picked without replacement from {d: 5, t: 8, y: 5}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -161*m - 2. Let r be j(0). Sort -4, r, -1, 1 in descending order.\nAnswer: 1, -1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(4\/7))\/(h*h\/(h*h\/h**0)*h*h))\/(((h\/(h*h**(3\/13)))\/h)\/(h\/(h*h*h**(-12)\/h)*h)) assuming h is positive.\nAnswer: h**(1152\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/11 - 8*i\/11 + 6\/11.\nAnswer: 2*(i - 3)*(i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, c: 6}. Give prob of picking 1 k and 2 c.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 227453, 227411, 227341, 227243, 227117, 226963?\n\"Answer: -14*c**2 + 227467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1931\/12 + -482\/3. Solve f + f**3 - z*f**4 - 1\/4 - 3\/2*f**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -702*q**2 + 22*q - 5. Let d be u(-4). Let b = 16310 + d. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.66 - 1722.34. Let v = z + 1709.06. Let u = v - -15. Put -2, u, -5 in descending order.\nAnswer: u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19\/4, -3, 0.3, 1\/2, -5, 2\/43?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*s**3 + 3 - 266*s**3 - 4 + 2 + s**4 - 915*s**2 + 136*s**3 as a*s**3 + f*s**2 + m*s**4 + c + o*s and give f.\nAnswer: -915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 75\/65 + -1 - (-164)\/(-52). Which is the nearest to 0? (a) 0.3 (b) g (c) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 670*d**2 + 21125*d + 69540.\nAnswer: 5*(d - 76)*(d - 61)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18973296 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + u**2 - 157 - 8*u**2 + 6*u**2.\nAnswer: 4*u**2 - 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129 and 60157?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 5*a = -38, -16 = -5*l + 13626*a - 13629*a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 11 + -5 - ((32 - 12) + -6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343*l + 586 = -50*l. Solve 7 = -8*j - s - 3, 4 = l*j - 3*s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/63 and -76\/4041.\nAnswer: 28287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 1:28 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-5\/12)*((r*(r*(r**(-5\/7)\/r)\/r*r)\/r)\/r)\/r)\/(r**12\/r**(-23)) assuming r is positive.\nAnswer: r**(-3119\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116\/3 + -39. Let x = -238 + 9. Let p = -229.1 - x. Which is the closest to p? (a) -2\/11 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378100 and 302480?\nAnswer: 1512400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1093 (base 14) to base 16.\nAnswer: b39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3993 = 3*h + 3996, -21 = 3*l - 3*h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * -8.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3307.626 centimeters to nanometers.\nAnswer: 33076260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (450\/105)\/10 - (-22)\/14. Solve 0 + 0*o**l - 3\/2*o**5 + 0*o + 5\/2*o**4 - o**3 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**14)\/(c\/(c\/(c**(-1\/57)*c))) assuming c is positive.\nAnswer: c**(799\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (14 + 3 + 50 + -45).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 3*d + 0*d**5 + 0*d**3 + 0 - 1\/75*d**6 + 1\/15*d**4 - 1\/5*d**2. Factor p(h).\nAnswer: -2*(h - 1)**2*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -535127928 divided by -6.\nAnswer: 89187988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/3 + g**2\/3 + 8*g\/3 - 4\/3 = 0. Calculate g.\nAnswer: -2, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -11469 less than -13859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 328.216192 + 0.013808. Let p = 8.57 + t. Round p to the nearest 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 115*d**2 + 85*d + 1391. Is z(-44) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4232 (base 6) to base 13.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 9*y - 119. Let p be 9 + -13*48\/(-156). What is c(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4469 or -4470?\nAnswer: -4470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -379 + 392. Let f be (-6 + (g - 7))\/1. What is the nearest to 11\/2 in -5, f, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(850) + -1*sqrt(850) + sqrt(850)))\/((sqrt(160)\/sqrt(40))\/sqrt(8)).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven eighths of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 522\/((-36)\/(-104)*-13)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 6*f - 1. Let q be k(-5). Suppose -q*h = j - 0*h - 12, -18 = -4*j - h. Solve 2 = 2*z - 3*r - 2, 24 = j*z + 2*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 14*m**2 - 61*m + 1083. Determine x(11).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r. Let t(c) be the first derivative of 5*c**4\/6 - 17*c**2 + 2*c - 78. Let z(m) be the second derivative of t(m). What is z(a(b))?\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6 + 19. Suppose -f + o - 28 = -128, 100 = f - 4*o. What is the highest common divisor of f and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244365906.\nAnswer: 2, 3, 40727651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95496 is divided by 5613?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w + 18. Is w + 123 - 2\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q - 9 = 0. Let v be (q - 2)*1 + -3. Sort -4, v, 3 in decreasing order.\nAnswer: 3, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffiififsooimmf. What is prob of sequence sf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 7. Let z(n) = -6*n**2 - 7*n + 7. Let l(f) = f**2 + f - 1. Let c(x) = p*z(x) + 21*l(x). Let t(o) = 3*o. What is t(c(q))?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3183 and 1617253653.\nAnswer: 3183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-149*u + 64*u - 31*u)*(18*u + 56*u + 43*u + 40*u - 26*u).\nAnswer: -15196*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**2 + 15*u - 6*u - 9 + u**2 + 2*u**2. Suppose 3*g - 4 = -j, 0 = -5*j + 2*j - 4*g + 17. Is w(j) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*t - 78*t + 124*t.\nAnswer: 401*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 20 = 0, -2 = 2*w + 4*r + 2. Calculate the remainder when 15 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 8*a**2 - 7*a + 4. Let l be k(-7). Let b be (-2)\/l - (-10)\/4. What is the third derivative of 3*u**5 + 0*u**5 + b*u**2 - 4*u**5 wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -0*p - 3*w - 7, -2*p = 4*w + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 111274349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217, 189, 141, 73, -15?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*c**3 + 4*c**3 + 8*c**3 - c**2 + 7*c**3 - 80*c - 20 + 22 in the form k*c**3 + v*c**2 + u + q*c and give q.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10084 at least 10085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {e: 1, l: 7, g: 3, p: 7, i: 1, a: 1}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 11*b**5 + 12*b**2. Suppose 4*h + 11 - 35 = 0. Let t(g) = 22*g**5 + 25*g**2. Let q(u) = h*t(u) - 13*i(u). Find the third derivative of q(p) wrt p.\nAnswer: -660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, a: 4, y: 5, w: 1, z: 3}. Give prob of sequence yr.\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2. Let i(b) be the first derivative of 0*b + 0*b**2 + 2 - 1\/3*b**3. Determine k(i(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 - -127. Let m = -22 + k. Solve -5*r - 9 = -z, -4*z - m*r - 7 = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 864 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566134391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 13340.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -14*q + 14. Let u(i) = -14*i + 17. Let d(r) = 5*g(r) - 4*u(r). What is d(4)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1044 + -1045. Which is the nearest to 6? (a) -3\/8 (b) 4 (c) 0.2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k - 97*k - 1792 = 53*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108)*-1*5)\/(sqrt(726)*-1))\/(((sqrt(96) + 1*sqrt(96))\/sqrt(8))\/(sqrt(2) + sqrt(10)\/(sqrt(15)\/sqrt(3)))))**2.\nAnswer: 75\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50302 - 7073 = 5*v - 50*v. What is the greatest common divisor of v and 1125?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 - 112. Let y(c) = -2*c + 13. Let u be y(j). Solve 5*w - 18 = -4*x, -u*x - 3*w - w = -14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**5 + 1059*k**4 - 95709*k**3 + 2578653*k**2.\nAnswer: -3*k**2*(k - 231)*(k - 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*m**2 + 999316*a*m - 137653160*a + 27*m**2 with respect to m.\nAnswer: 2*a*m + 999316*a + 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - 13\/(-2))*(1 + 3). Suppose -72 = 7*d - s*d. Suppose -14*t + d = -32. Solve -2*v + t = -4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 13*b**2 + 12*b + 2. What is m(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 + 5*w + 7. Let o(c) = -14*c**2 - 14*c - 20. Let n(a) = -a**2 - a + 18. Let z be n(-4). What is z*o(h) + 17*g(h)?\nAnswer: h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 26.69 times -2\nAnswer: -53.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -18. Which is the third smallest value? (a) 1\/9 (b) 0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1449193?\nAnswer: 1449193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 172*j - 6. Let d(r) = -4*r + 2. Determine 3*d(a) + u(a).\nAnswer: 160*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24841920 is divided by 196?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 2*r + 1\/6*r**3 - 1\/2*r**2 + 0. What is the derivative of h(c) wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-12) - (-46)\/12. Let y be ((-2)\/5)\/(1\/(-60)). Solve y = -p*t + 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 24*g**2 + 20813*g + 542479. Determine b(-26).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.8 + 3.14. Let c = 0.14 - g. What is the second biggest value in 0.2, c, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(132))\/sqrt(11).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -178*j - 2528. List the prime factors of y(-51).\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**3 + 12*q**3 + 81 + 3*q**3 - 5*q**3 - 83.\nAnswer: 3*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**14\/y)\/y**(2\/11) assuming y is positive.\nAnswer: y**(141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c**3 + 13*c**2 + 85*c - 181. List the prime factors of q(-16).\nAnswer: 38651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 c, and 2 q when four letters picked without replacement from sfeqpeeccccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2110, -4179, -6262, -8365, -10494, -12655?\nAnswer: -14854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 + 1. Suppose -8*m + 10*m = 36. Suppose -5*r - 2*u = -m, -4*u = -r + 2*r. Which is the closest to d? (a) 0.6 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22220 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72 or 455?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f + 6. Let g(h) = h - 4. Let s(j) = -1. Let y(t) = g(t) - 5*s(t). Let i be (-2)\/(-8) - (-6)\/8. Determine i*w(c) - 6*y(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19160 and 4.\nAnswer: 19160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 11:02 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-15 + 11 - -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 8:03 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16934 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*i**2 - 1)*(i - 5*i + 2*i) + (i - i + i**3)*(1 - 7 + 2) + 29*i - 29*i - 8*i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 7*h = 4*h + 1, -2*n + 2*h + 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r. Let g(n) be the first derivative of -124 - 3\/2*n**2 + 0*n - 2\/3*n**3. What is g(w(h))?\nAnswer: -2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*r**2 - 6*r**2 - 40*r**2)*(-10 + 10 - 5*r**2).\nAnswer: 530*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354254359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 5*b**2 + 5*b - 4. Let f be c(-6). Let y be ((-6)\/(-2))\/(f\/2). Suppose y*o = 10 + 161. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9173.994 rounded to the nearest 100?\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 976 and 272?\nAnswer: 16592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 18) + 44 + -31?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 - 5*z + 2. Suppose -4*k - 13 = -5*d, 4*d = 3*k + 3 + 8. What is the units digit of t(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/26)\/(174\/1131). Let d be (-6)\/21 - (-44)\/105. Which is the nearest to l? (a) -2\/3 (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g\/(g\/g**1))))**44\/(g\/(g*g\/(g*g\/(((g\/(g*g**0\/g))\/g)\/g)))*g*g)**(-49)*(g**(-1)*g*g)**(33\/5)*g**(-5)*g*g**4 assuming g is positive.\nAnswer: g**(1013\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(980) + 1)*6 - (-1 + sqrt(980) + 3))**2.\nAnswer: 560*sqrt(5) + 24516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 5:08 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/5 + (-18)\/5 + 3. Solve m = -v - 1 - 0, -5*m + t*v = 29 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128*291905\nAnswer: -37363840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.55 - -0.55. What is the nearest to -1 in m, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*u - 93100, -t - 55848 = -9*u + 6*u. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828400 is divided by 69025?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 7*q + 5. Let r be u(6). Suppose 24 = -r*s + 14*s. Suppose -4*m - 320 = -s*m. Calculate the greatest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/3 (b) 0.5 (c) 37\/6 (d) 3\/82 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.12 - 0.036. Let w = h + 0.02. Let b = 0.1360061 + w. Round b to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 4*m**2 - m + 1. Suppose 2*o - 2 = 2*q, 3*q - 29 = -5*o + 8. Calculate the remainder when l(o) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56473981 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77 - 242?\nAnswer: -2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1300) + -2 + -3)**2.\nAnswer: -200*sqrt(13) + 1400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**5\/20 + c**4\/3 + 2*c**3\/3 - c**2 - 193*c. Let h(n) = 2*n**3 + 7*n**2 + 7*n - 4. Give -7*f(p) + 4*h(p).\nAnswer: p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 43.08. Let p = k - -0.08. Which is the second biggest value? (a) 0.1 (b) 1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 4 = -18*t, 5*t = -5*p + 80. Calculate the remainder when 82 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 840 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410 (base 8) to base 13.\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 - 56*n + 10. Let p be w(-8). Calculate the highest common divisor of p and 528.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s**2 + 40 - 14 - 19)*(-2*s - s + 2*s) to m*s**2 + l*s**3 + j + o*s and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197906.\nAnswer: 2, 98953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260 is divided by 165?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 - 110. Let l(x) = 9*x + 14. Let u(b) = 13*b + 19. Let c(v) = h*l(v) - 5*u(v). What is c(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -213*p**2 - 11933*p - 84. Determine a(-56).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 23. Suppose 4*o - p = -4*o. Solve 8 = -o*j - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*n**3 - 33*n**3 - 33*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehhhehhhh. Give prob of sequence eeh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s = -2*b + 22*s - 6, -5*b - s + 6 = -4*s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h + 42 = 0. Calculate the common denominator of h\/63 - (-454)\/60*-1 and 59\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - y + 0 - 4*y + y to the form k + w*y and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-467)\/3736)\/(5\/(-88)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**3 - 823*g**2 - 210*g + 510. Give q(206).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19917 and 15.\nAnswer: 99585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 841.1967 and 23?\nAnswer: 19347.5241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 2936745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2 - (2 + -1). Is 4 a factor of ((-30)\/18)\/(w\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 535*i**2 - 153757*i + 257315340.\nAnswer: 1070*i - 153757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + 144. List the prime factors of q.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -7*r + r. What is the second derivative of -59*y**r + 24*y + 15*y**5 - 19*y**5 wrt y?\nAnswer: -1260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(15\/2)*6. Let w = i + 6. What is the least common multiple of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a decade in months?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -144\/7 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + (-1484)\/112)\/((8 - 4)\/(-32))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -197*s - 1181. Let x be r(-6). Let d be (10\/15)\/(1\/(-27)). Let p be 16\/(-12)*d\/(-80). Is p less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 8*h + 19. Let j be l(-10). Is 2\/13 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/36)\/((-3 - 2) + -1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006837 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140589 = -305*p - 64*p. Sort p, 6, 2, -3 in decreasing order.\nAnswer: 6, 2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 3)*(0*m + 0*m - m**2 + 2 + (5*m - 2*m - 2*m)*(-3*m + 5 - 5)) + 0*m**2 + 3*m**2 - 2*m**2.\nAnswer: -15*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**4\/12 - s**3\/3 - 91*s - 32. Let m(u) be the first derivative of q(u). Factor m(y).\nAnswer: y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*h*y**4 - 2*h + 165*y wrt y.\nAnswer: 612*h*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-49))\/(((-2)\/2)\/(-2))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -803010 + 366172411\/456. Calculate the common denominator of -109\/22 and o.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5490870 divided by 915145.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5, -19, 0.2, -40, 1\/10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 + 1. Let o(c) = 1 + 2*c**3 - 5*c**3 - 3. Let u(s) = -s - 6. Let q be u(-9). Give q*z(h) + 2*o(h).\nAnswer: 3*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4038 - 0.02.\nAnswer: 4037.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2752716255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2828 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 104025661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 0)*(-2)\/(-4). Suppose p = -3*o - 2*p, -4*o - 2*p + 10 = c. Find the third derivative of -2*b**2 - 3*b**2 + 6*b**2 - b**o + 2*b**2 wrt b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**18))\/(h\/h**11) assuming h is positive.\nAnswer: h**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -13*d**3 + 4*d - 9. Suppose 0 = -0*q + q - 5. Suppose -q*n = 19 + 26. Let b(h) = 3*h**3 - h + 2. What is n*b(u) - 2*y(u)?\nAnswer: -u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.079585+0.71\nAnswer: 0.630415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48154024 is divided by 127.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.9 take away -279827?\nAnswer: 280017.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5 = 3. Let q be (-42)\/4*c\/6. Let k be q + 3 + 0 + -2. What is the greatest common divisor of k and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 37. Let y be -8 - (v - -3) - 0. Let h(p) = 3*p + 1. Let o(x) = 5*x + 1. Let n(j) = -7*h(j) + 4*o(j). Calculate n(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224990 divided by 262?\nAnswer: -112495\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**5\/40 + 5*p**4\/8 + 4*p**3\/3 - p**2 - 42*p. Let s(k) be the second derivative of z(k). Calculate s(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(0*i + 0*i + 2*i**2) + 2*i**2 + 0*i**2 + 0*i**2)*(-50*i - 34*i + 50*i).\nAnswer: 68*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 75*l**2 - 357*l - 285.\nAnswer: -3*(l + 1)*(l + 5)*(l + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*p**3 + 3*p**3 + 14*p**3 + (0 + 0 + 2*p)*(10*p**2 - 4*p + 2*p + 0*p**2 + 3*p**2 - 5*p**2 + 4*p**2 + (4 - 5 + 0)*(3*p - 3*p - p**2)).\nAnswer: 34*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -233 + 240. Suppose 10*o - c*o - 5*t - 3217 = 0, 3*o + 2*t - 3245 = 0. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1244, -1235, -1222, -1205?\n\"Answer: 2*j**2 + 3*j - 1249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14935159*w**2 + 18*w - 88337.\nAnswer: 29870318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from wbwwb?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Let b be (35\/10 + -4)*10\/(-1). Let t(z) = -z. Let a be t(-3). Solve q + j = a, 6 = -i*q - 0*q + b*j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -3\/232103896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -143*m + 139*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 2)*(-4*y + 5 - 5)*(71 - 16*y - 9*y - 70).\nAnswer: -400*y**2 + 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 501133 + 1215?\nAnswer: 502352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 160?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 2852*y + 68954. Calculate c(24).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 106548.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 105975?\nAnswer: 105975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2544\/8904)\/(((-15)\/4)\/(14\/8))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10 + 0*f + 3*f - 2*f. Let q be g(-5). Suppose -4*j = -j - 9. Solve 5*z + 41 = -j*c + 6, 0 = -5*z + 5*c + q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*b + 693*b - 232*b - 230*b - 38*b**2.\nAnswer: -38*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-7 + (5 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 24 = 4*d, 3*z = z + 2*d. Let u(m) = -m**2 + 6*m - 3. Let v be u(z). Suppose 23600 = s - v*s. What is s rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4. Let s = 6 - 1. Let z be (-1 + 6\/s)*o. Put -5, z, 0.4 in ascending order.\nAnswer: -5, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(110\/(-99) - -1). Calculate the highest common divisor of 17 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 830545217 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4322212943925 - 13\nAnswer: -12.5677787056075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34.553 + -1.403. Let f = k + -3.05. Let u = -30 + f. Which is the closest to u? (a) 0.3 (b) 3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 4, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -204*a - 2*a**2 + 214*a - 4*a**3 + 3*a**3 + 0*a**2 to j + o*a**3 + i*a**2 + f*a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t = 10*s - 9*s + 40*t - 35, 7 + 37 = 4*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 16540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36.085 + -0.085. Let u = c + -31. Let o = -1.4 - -1.4. What is the biggest value in u, o, 17\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**5\/60 - 9*r. Factor w(i).\nAnswer: -i**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5\/2 + 1343*u**4\/2 - 230435*u**3 + 3342576*u**2 - 11904192*u = 0.\nAnswer: 0, 6, 9, 664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = a + a. Suppose 2*z - 3*z = 65. Let u = a + z. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 2625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 6*h**2 - 4. Let n(g) be the third derivative of -g**6\/30 + 11*g**5\/60 - 4*g**3\/3 - 16*g**2. Determine 6*n(l) - 11*t(l).\nAnswer: -2*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2678*q**2 - 17*q + 33. Let p(t) = 893*t**2 - 5*t + 10. Calculate 10*p(a) - 3*w(a).\nAnswer: 896*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = 3*n - 8*n. Calculate the greatest common factor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -2968646.\nAnswer: -2968650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 21*f - 14. What is m(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*q - 87212 = 863276. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1599 to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 11110010?\nAnswer: -11110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (469 - 469 + 117*w)*(2 - 2 + 1) - 4 + 7 + 0*w - w.\nAnswer: 116*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 159b + 502c9?\nAnswer: 51897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 415696*f**2 + 1. Let y be x(-1). Let d = 801449\/2 - y. Let o = d - -359189\/24. What is the common denominator of 109\/18 and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1005 and 115240?\nAnswer: 345720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 370.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 527, 531, 537, 545, 555?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*b + 3069 + 96, 5*b = 2*f - 1287. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.5688 and 49.\nAnswer: -174.8712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242297?\nAnswer: 11, 22027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 945 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 - 62 = -3*b + o, -2*o + 7 = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 8*w**2 - 109*w - 19. Determine k(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/((-33)\/150) + -4. Let d = z + 56. Which is greater: 8\/9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(125)*-2 + (sqrt(125) - (-2 + sqrt(125) + 0)))**2.\nAnswer: -80*sqrt(5) + 521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*w - 8423 - 9327 = -122*w for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2, -9*n + 6*n = 5*o - 75451. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5*t = -400, 14*m + 161*t + 240 = 164*t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**2\/3 + 286201970*z\/3 - 286201975\/3 = 0.\nAnswer: -57240395, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -6*f - 5*r - 833, 3*f - 2*r + 596 = 0. Let z(u) = 5*u**3 + 7*u + 15. Let q be z(-3). Let g = q - f. List the prime factors of g.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 11.5. Let z = 33007 + -33007.4. Which is the nearest to -0.1? (a) 195 (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 * 11.\nAnswer: -1.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8111 + 804?\nAnswer: -760a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**8)\/m*m)**(2\/51)\/((m*m*m**7)\/m**21) assuming m is positive.\nAnswer: m**(598\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1810*h**6*j**2 - 97*h**2*j**2 + 315*h*j**2 wrt h?\nAnswer: -217200*h**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 14*y**2 - 103*y - 285. What is o(20)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-6) + 2\/12. Let s(m) = 47*m - 5 - 47*m - m**3 + m**c. Let j be s(0). Let r(x) = -x**3 - 6*x**2 - x + 6. Determine r(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1274, 1283, 1314, 1379, 1490?\nAnswer: 1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**2 - 2*p**2 - 6*p**2 + (39*p + 34*p - 127*p)*(-2*p - 1 + 1) to t*p + k + d*p**2 and give d.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1186 + 2*(-1 - 1). Suppose -5*g = -5*b - 3490, 2*g - 194 - w = -2*b. What are the prime factors of g?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x + 6*x. Let f be (-2)\/(-1) - 1 - x. Suppose -f*a + 25 = s, -3*s - a = -2*s - 27. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (320\/72)\/(-10) + 2804\/(-9). Let c = n - -358. Calculate the greatest common divisor of 46 and c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4\/3 + 537848*z**3\/3 + 4822201620*z**2 + 138827692000*z\/3 - 57845768000\/3 = 0. What is z?\nAnswer: -53780, -10, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 223*d**2 - 343 wrt d.\nAnswer: 446*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-34 - -60) + 26?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43506, -173886, -391186, -695406, -1086546, -1564606, -2129586?\nAnswer: -2781486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b + 2 + 3 - 8)*(4*b**3 - 2*b**3 + 4*b**3).\nAnswer: 30*b**4 - 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8830568 is divided by 9672.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 366\/7. Let x = -4\/7 - q. Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 12 + (-11 - 16 - -7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 30.9999961. Round d to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/2 - (-35)\/(-5). Let s be (8\/o)\/(2 + 125\/(-60)). Suppose -2*i = 2*w - 24 + 4, 2*w + 5*i = s. What is the greatest common factor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 18\/(-7))\/(12\/(-112)). What is the greatest common factor of 36 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 108537330 to the nearest 1000000.\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 7:52 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 662 + -17876\/27. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1992518761 - -0.1?\nAnswer: -1992518760.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42416762 is divided by 9534?\nAnswer: 9530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*r**4 + 2*r**5 - 64*r - 35*r + r**2 - 58*r - 5*r - 2*r**2 wrt r.\nAnswer: 120*r**2 + 1128*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001648 to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 86*k**2. Let c(a) = -3*a - 14. What is c(d(v))?\nAnswer: -258*v**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-3\/10)*u*u)*u)\/(u**(14\/5)*u))\/(u**(8\/3)*u)**(1\/3))**37 assuming u is positive.\nAnswer: u**(-3145\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 9*n**2 + 11*n - 6. Let d be g(-7). Suppose -27*k = -96 + d. What is the highest common divisor of k and 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 92\/9 - ((-282)\/(-54) - 5). Solve 3*k - g = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393032 at most as big as 393033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 411280, 411286, 411296, 411310, 411328?\nAnswer: 411350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1304*0.104.\nAnswer: -135.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.06 + -1.06. Which is the biggest value? (a) u (b) 0.9 (c) -1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4112 (base 7) to base 9\nAnswer: -1858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mffmmmfj.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -36 + 88 + z**2 - 47. Let y = -8 + 20. Suppose -4*f - 4*p = y, 3*p + 9 = 3*f - f. Determine a(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbllllbbbblbb. What is prob of sequence lll?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61435 + -663?\nAnswer: 60442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 101, -15, 3, -5, 26 in increasing order.\nAnswer: -15, -5, -3, 3, 26, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 832 divided by 2\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (3 - (1 - 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 14618307400 to the nearest one million.\nAnswer: 14618000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11418\/19 or -2\/7?\nAnswer: 11418\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen halves of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 411*f**2 - 6*f + 4. Let a be l(4). Suppose 2*x - a = -5*q, q - x - 1304 = x. Suppose 755 = y + 5*k + 100, 2*y = 4*k + q. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 1. Let n(s) be the first derivative of 13*s**3\/3 + 14*s + 11. Let u(f) = 4*d(f) + n(f). What is the first derivative of u(j) wrt j?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(32)\/sqrt(4))**2.\nAnswer: -20*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -82399 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 9*m**2 + 18*m + 5. Let j be o(5). Let s = 3 - 1.4. Let g = -0.4 - s. Which is the third smallest value? (a) 1\/3 (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10589\/30 - -353. Let s(g) be the second derivative of 0 - b*g**4 + 2*g + 0*g**2 + 1\/150*g**6 - 1\/100*g**5 + 0*g**3. Let s(m) = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91711 by -3044.\nAnswer: -91711\/3044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 25. Let h = 5 - 1. What is the highest common factor of h and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 1. Let f be s(-4). Let r(q) = -9*q**2 + 5*q - 2. Let z(x) = 246*x**2 + 3 - 8*x + 258*x**2 - 733*x**2 + 243*x**2. What is f*z(h) + 8*r(h)?\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 114*w**2 + 9*w - 31. Let c be r(-13). Let a = c - 8985. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18182789*g**2*z - 2*g*z - 4760090*z wrt g?\nAnswer: 36365578*g*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (4 - 7\/2)*-2. What is the remainder when (-3)\/h*-2*8 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30884 (base 9) in base 16?\nAnswer: 4fb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3 = -6*o + 3*o, -5*o = -20 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -33, -0.85 in ascending order.\nAnswer: -33, -1, -0.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 158773\/397020 + 7\/79404. Let a be (1 - -2)\/(3 + -2). Factor -1\/5*g - 1\/5*g**a + 0 - w*g**2.\nAnswer: -g*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3541 (base 10) to base 15.\nAnswer: 10b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -706793050 divided by -235.\nAnswer: 3007630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 206036143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7914 - 6\/(30\/25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 2*v - 4*b - 5, b - 32 = 2*v. Let z = 14 - v. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-52)\/24 - (-1 - 1). Suppose 3*t - 439 = -5*j, 3*t = -j + 61 + 34. Let h = -85 + j. Which is the closest to h? (a) i (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from zzzvzzzzzvz?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 22*p + 38. Let i(k) = -2*k**2 + 15*k - 25. Let o(u) = 5*a(u) + 8*i(u). Let q be o(4). Solve 0 = 3*y - 2*r - q, -8 = 2*y + 3*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.26 and -573?\nAnswer: 148.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -524207\nAnswer: 31\/524207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 37*o + 4. Let y be a(-5). Let k = -263\/2 - y. Find the common denominator of k and 938\/(-520) + 18\/117.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 3\/2, 0.7, -54, -4\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15880 and 7328620?\nAnswer: 14657240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -555244, -555236, -555228, -555220, -555212, -555204?\n\"Answer: 8*u - 555252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**1)**(2\/31))**(-15\/8))**(-5) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-2)*(1436 + 74)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x + 101 = -14. Sort -1\/4, x, -1, -2\/19 in decreasing order.\nAnswer: -2\/19, -1\/4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1722108338 and 3?\nAnswer: 5166325014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 24. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 746256, 2985111, 6716538, 11940537?\n\"Answer: 746286*d**2 - 3*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80362 and 14?\nAnswer: 562534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000066817297 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from mmuummk.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v = 75*v - 170. What is the closest to -1 in v, 0.1, -23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -16*l + 123349. Let a = 7823 - l. What is a rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzy when three letters picked without replacement from fyqyfz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10652*w - 1038223 = -28249*w for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33567 + -33566. Suppose 2*b = -4*t + 22, -3*t - 4*b + 9*b - 16 = 0. Suppose -5*r = -t - 2. Calculate the highest common divisor of l and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15253 - -4?\nAnswer: -15247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 95 - 718 = -3*t, 0 = -4*c - 4*t + 492. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwwzzxxwwxwt. Give prob of sequence wz.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 2338 and 703496.7.\nAnswer: 705834.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 3. Let c be (-10)\/(-4) + j\/(-16). Suppose 7 = c*q - 8. Solve l = -2*x + q, -2*l = 2*l - x + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*u**3 - 8*u**3 + 3*u + 8*u**3 in the form h + w*u**3 + t*u**2 + c*u and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -196*b**4 + 50036*b**3 - 3611724*b**2 + 51052364*b + 54714320 = 0.\nAnswer: -1, 20, 827\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 103910139 divided by 1\nAnswer: 103910139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/((-9)\/(-2487))*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -610 or 62286?\nAnswer: -610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1878401 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 62099 less than 62099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12785*t + 836066 = 50024 + 44066 - 677159 for t.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 450 - 901\/2. What is the nearest to z in 0.5, -5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.2 - 5.254. Let v = z + -0.446. Sort 2\/3, v, -1\/7, 5.\nAnswer: v, -1\/7, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 + 0.73. Let r = g + 0.2. Which is bigger: -18 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1145 (base 6) to base 12.\nAnswer: 1b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 8:03 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*o - 220 = -5*j, 5*o + 304 = -j. Let p = o - -62. Let d(t) = -36*t**3 - 2*t**p - 10 - 6*t**2 + 15*t**3 + 20*t**3 - 8*t. What is d(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -102, -607, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -209723?\nAnswer: 209720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/2)\/h*h*h**0*((h*h*h**(-1))\/h)**(-36) assuming h is positive.\nAnswer: h**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 18 + 132*s - 136*s + 104. Let q be u(0). What are the prime factors of q\/14 - (-1)\/(28\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17830132 is divided by 141?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2*x*x)\/x*x**(3\/7))**(-48) assuming x is positive.\nAnswer: x**(-1152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24688352 divided by 6172088.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5767476 divided by 1\nAnswer: 5767476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.47052378 to 4 dps.\nAnswer: -0.4705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -969 + 81. Let j = -189 - v. Calculate the remainder when j is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -89*i**7\/42 + 415*i**3\/3 - 43*i**2 - i. Differentiate x(d) with respect to d.\nAnswer: -1780*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 351*f*o**3 + 2*f*o**2 - 3*f*o + 81*o**3 - 152*o - 6067 wrt o.\nAnswer: 2106*f*o + 4*f + 486*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 92*s + 9. Let f(g) = -50*g - 4. Calculate -7*f(q) - 3*p(q).\nAnswer: 74*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -682 (base 12) in base 9?\nAnswer: -1278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 15*i - 9. Calculate the remainder when c(-18) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -3, 3.\nAnswer: -3, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*o**4\/11 - 4*o**3\/11 = 0. What is o?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26988907441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -12, -40, -2, 0, 4 in descending order.\nAnswer: 4, 0, -1, -2, -5, -12, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 a, and 2 h when four letters picked without replacement from zhglzggqhzaz?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2019 divided by -1?\nAnswer: -2019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 6*l**2 + l - 6. Let h be w(6). Let g = 232 + -231. What is the second smallest value in h, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275213921 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + 5 + -4 + -2*sqrt(720))*-4)**2.\nAnswer: 24576*sqrt(5) + 738304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/7 (b) -2\/9 (c) -5 (d) 0.3 (e) -1\/7 (f) 15 (g) 0.089\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45599731 to the nearest integer?\nAnswer: 6753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*h - 57, -h + 0*h - 11 = 5*s. Let i be (-546)\/h + (-2)\/12. Calculate the remainder when i\/(-10)*(-3 + 627\/(-9)) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 4788*b**2 + 9582*b**2 - 4794*b**2.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i + 3*f - 43 = 0, 4*i = 2*f + 102. Let y be i\/(-98) + 1726\/14. Let h(m) = 57*m - y*m + 52*m. Let u(v) = v**2. Calculate h(u(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 13*o**2 - 13*o - 9. Let t be q(14). Suppose -244 = -h - 2*d - 16, -5*h = t*d - 1120. What is the greatest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.01, 178 in decreasing order.\nAnswer: 178, 4, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(7) - sqrt(18))\/sqrt(9) - (-5 + sqrt(2) + -1).\nAnswer: -sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1027 - 1026. Let r = 11 - 192. Is j at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a**(-5)*a))\/a)\/a)\/a)\/(a*(a\/a**(-6))\/a)*(a**(1\/3))**(-3\/2) assuming a is positive.\nAnswer: a**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 205011.\nAnswer: -2\/205011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -876725\nAnswer: -2\/35069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/(533\/104)*(-360)\/(-23520)?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3354299.6500054 + 3354300. Let j = -0.3 - -0.65. Let h = g - j. Round h to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u - 10. Is 9 a factor of b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 + 2.5155.\nAnswer: 95.5155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/11, 74\/13, 501, -1.\nAnswer: -1, 18\/11, 74\/13, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 276.4 and -0.0156?\nAnswer: 276.4156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1470 and 5355504?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33836 - -33835.6. What is the closest to c in -24, 0.24, 0.5?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32394?\nAnswer: 2, 3, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 + 89986*c - 30060*c - 30133*c - 3 - 29796*c + 0.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 80 - 324 = -4*q, -q - 4 = 0. Calculate the lowest common multiple of w and 663.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36876 is divided by 829?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 5*x**3\/6 - 16*x + 4. Let b(z) = 7*z**2 - 6. Let i(r) = 8*r**2 - 7. Let n(f) = -7*b(f) + 6*i(f). Determine p(n(h)).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, -6, 1 in descending order.\nAnswer: 1, -0.3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7*k = -16. Suppose -6*t + 26 = -4*t + k*l, 4*l - 39 = -3*t. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/(-4)*(-97)\/((-4074)\/(-32844))?\nAnswer: 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3633264 and 288.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31680, 126737, 285170, 506979, 792164, 1140725, 1552662?\n\"Answer: 31688*x**2 - 7*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5425 - 5418. Let l(y) = -10*y - 5. Let o(z) = 22*z + 12. Let q(d) = -11*d - 6. Let x(k) = -2*o(k) - 5*q(k). Calculate v*l(h) + 6*x(h).\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 424255 - 424255 + 5663*j to the form f + x*j and give x.\nAnswer: 5663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or -1192111?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-23))**(5\/3)*u**11*u*u**(-20))**(-3\/11) assuming u is positive.\nAnswer: u**(134\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -207*h - 1530 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -381, -765, -1149, -1533?\nAnswer: -1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 3)*(3 - 2 + 1)*(4*y + 3*y - 5*y).\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 68*i**4*m + 25*i**4 + i**2*m - 110*m - 1077 wrt i.\nAnswer: 272*i**3*m + 100*i**3 + 2*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -151\/6*x - 112\/3*x**2 + 1\/6*x**5 - 73\/3*x**3 - 17\/3*x**4 - 19\/3.\nAnswer: (x - 38)*(x + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 30 = 24. What is the second derivative of -2*c**3 - 7*c - 8*c**n + 0*c**3 + 8*c**2 wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 3)\/(-2) + 17. What is the third derivative of -r*y**3 - 15*y**2 - 6*y**2 + 0*y**3 + 10*y**2 wrt y?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.4 (c) -1\/327800\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 105203 (base 6) to base 8\nAnswer: 21343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 19. Let b be (-120)\/(-14) + -4 + 3\/l. Solve -b*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199.8 + -199.79991765. Round n to 6 decimal places.\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 0*n**3 - 3*n**3)*(5*n - 5*n - 4*n) + (-1 + 1 + 2*n**3)*(-2*n + 2*n + n) + 3*n**3 + n**4 - 3*n**3 + 2*n**4 + n**4 + n**4.\nAnswer: 27*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let d be y(-2). Suppose -d*m = m - 5760. Let p be m*(-3)\/(27\/15). Round p to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*k - 80*k - 74 = 9*g, 5*k - 19 = 3*g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 166500.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.954 + 0.046. Which is the closest to 1\/4? (a) -4 (b) i (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-135)\/(-35) - 13\/(-91). Suppose -j + 189 = 4*c + 45, c = -a*j + 531. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/5 - 18*y.\nAnswer: -3*y*(y + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*v + 4*r - r, -4*v = r - 35. Calculate the remainder when 8 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 233604 and 26649.\nAnswer: 10979388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 5. Let i be q(7). Let s be -2 + -99 + (2 - i\/(-1)). Let w = 296\/3 + s. Which is the second biggest value? (a) 10 (b) w (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 + 163 - 30\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 b when three letters picked without replacement from nnjojnnb.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2495046 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4 - 1. Let l(g) = -g**2 + 1. Let i(v) be the first derivative of -v**4\/4 + 5*v**3\/3 - 5*v - 3557. What is h*i(q) + 15*l(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2. Suppose 4*j - 30 = -j. Suppose f - 25 = -4*p, -f - 5 = -2*f. Let i(t) = p*t - j*t + 3*t. Calculate i(v(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkwwywwkwwwywyw. Give prob of sequence ww.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*64\/10752)\/((-4)\/16)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2582438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 178.41 and 726581.\nAnswer: 726759.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 222201221200 (base 3) to base 15\nAnswer: a5e1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 81. What is f(27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**3\/2 - c. Let s(t) be the third derivative of t**4\/24 - 3*t**2 - 252*t. What is s(j(m))?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/1 + (-14)\/2. Let w(d) be the second derivative of d**4\/12 + 5*d**3\/3 + 5*d**2\/2 + 1039*d + 1. Determine w(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/28)\/(((-29)\/(-14) + -2)\/((-26187)\/7482))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-40))\/(58\/725)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 - 7026061?\nAnswer: -7026101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 278, -4, -13 in descending order.\nAnswer: 278, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/80 and ((-37)\/240)\/(5 - (-16)\/(-3))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, x: 1, g: 2, r: 14, a: 2}. Give prob of picking 2 r and 1 g.\nAnswer: 91\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r**2 - 2*r. Let g(i) = 22*i**2 - 5*i. Let h(a) = -2*g(a) + 5*p(a). Let f(o) = 24*o. What is f(h(m))?\nAnswer: 264*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l**3 - l + 1. Let f be b(1). Let n(z) = 6*z - 1. Let o(p) = -2*p. Let q(y) = -n(y) - 4*o(y). What is the remainder when 23 is divided by q(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-7*(-2)\/(-42))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62103689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3636 is divided by 190.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4453835l in millilitres?\nAnswer: 445.3835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c. Let z be x(-3). Suppose 0 = m - 4*m + z. Suppose -m*d - d + t + 22 = 0, 4*d - 28 = 4*t. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*c**2 - 3*c**2 + 76*c + 103*c**2 + 20*c**2 wrt c?\nAnswer: 326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 4)\/((-6721)\/188 + 35). Let j(p) = 13*p**2 + 2*p - 9. Let l(z) = -7*z**2 - z + 5. Suppose 0*w + w + 7 = 0. Calculate v*j(x) + w*l(x).\nAnswer: -3*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(612) + 1)**2 + 5*sqrt(51)\/sqrt(3)*-2.\nAnswer: -1839 - 46*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 - 3)*(z - 2*z - z)*(2 + 58 + 4).\nAnswer: -256*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-40)*(-20)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 2*i, 9 = -2*d + 1339*i - 1344*i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10401, 12718, 16589, 22014, 28993, 37526, 47613?\nAnswer: 59254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37.53 + -0.47. Let q = d - -41. What is the smallest value in 1, -0.3, 5\/9, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-18205)\/66)\/((-34)\/(-12) + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 5*t = 18 + 3, 1310*t = 5*c + 1320*t for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -544?\nAnswer: -548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 517859539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-204)\/850)\/((-9)\/5).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2) + 0 - (1 + (sqrt(2) - sqrt(18))))**2 + (-2 + (sqrt(2) - 3*sqrt(2))*-1 + sqrt(2))**2.\nAnswer: 6*sqrt(2) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 56399.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 232971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6824571, 13649143, 20473715?\nAnswer: 27298287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358396*p**3 - 2*p**2 + 2*p**2 - 358418*p**3 + 716808*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1328, -5211, -11670, -20711, -32340?\nAnswer: -46563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:52 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -163719*r**4 + 238649 wrt r.\nAnswer: -654876*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/12*-3*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - 31*y - 19. Calculate d(-14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 q when four letters picked without replacement from {q: 4, s: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 14162423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/9 - 2\/3. Let k = -197.2 + 199.2. What is the nearest to 1\/4 in n, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(7))*1 - sqrt(21)\/sqrt(3)*1) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 7)\/3 - -1. Solve 12 = 2*o + u*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*t - 0 + 6, 0 = 3*t + 2*g - 15. Solve 2 = 2*v + t*v + 2*m, -v = -2*m - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = x + 2*x. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**6\/120 - 7*a**5\/60 + a**4\/12 - a**3 - a**2. What is the units digit of b(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 + -8 - -3) + 20886 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 71*l + 10*l - 1604 = 706 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 417 = 4*a, 0 = 7*a - 4*a - 4*l - 305. Suppose -a = -5*g + 47. What is the greatest common divisor of g and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3 = -3*u, -2*y - u - 5 = 4*u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(81))\/(sqrt(6)\/sqrt(8)))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250369643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + 0.03. Suppose 46*p + 408 = 38*p. Let l be 8\/(-12)*(9\/p)\/(-1). Which is the second biggest value? (a) h (b) -16 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -7. What is the remainder when (-2)\/32 + (-171175)\/(-2672) is divided by ((-13)\/k)\/((-4)\/(-12))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 194839 + -138432. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/5)\/((-2)\/10). Let j = 26 + -27. Let o = p + j. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g + 2. Let y(v) = 21*v**2 - v - 3. Let f be y(-3). Suppose 4*x = -5*j + f, j + 15 = 4*j. What is the remainder when x is divided by w(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**3 + 12*w**2 - 19*w - 396. Let c(s) = s**3 - 3*s**2 + 5*s - 1. Determine 4*c(o) + m(o).\nAnswer: o**3 + o - 400","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 236*m + 4*m**3 + 19 - 3*m**3 - 235*m. Calculate x(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-8) - 15\/(-120). Let o(t) = 3*t + 36. Let h = 64 - -76. Calculate the remainder when h is divided by o(q).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6201 and -6186 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfxfxxxdffd. Give prob of sequence ffxf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**5\/60 + b**4\/8 + b**3\/2 - b**2. Let d be q(3). Let o be -4002 - (d - 2)*-2. Round o to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -9. Let q = -3 - c. Suppose h + q = 11. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152 at most 40883\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2 - 4 + 13 - a + a**2. Let m be q(0). Solve 1 = 4*w - m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/(-24) - 6)*(-2)\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111001 + 11101?\nAnswer: 11010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -7, 2, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 13*w - 45. Let p be u(-16). Let b be ((-70)\/(-3))\/(-7*p\/(-63)). Is b > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 312.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - s + (8 + 2 + 8)*(4 - 4 + 2*s).\nAnswer: 35*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -723 - 7?\nAnswer: -72a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 25*n**3 + 3*n**2 + 2*n + 4. Let j be 3 - (1 + -10)\/(-1). Let t be q(j). Round t to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288*h - 792875 - 786659 = 166*h. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2010)\/(-402))\/((-15)\/(-27))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -11, -0.8552, -1, -1\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**4\/4 - 5*f**3\/3 + 3*f - 22. Let l be b(5). Let w(y) = 3*y - 4. Calculate w(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.6 (b) 0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32295 divided by -4?\nAnswer: -32295\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 2, -0.6, 2\/3, -3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/(-20) - (-1)\/2. Which is the third smallest value? (a) o (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - l - 1778. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Let s be (-50)\/(-60)*(-18)\/(-20). Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16685626 divided by 1426\nAnswer: -11701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -8 - 80. What is the lowest common multiple of 12 and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447252049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1291, 9447, 30911, 72121, 139515?\n\"Answer: 1073*l**3 + 216*l**2 - 3*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 3 (b) -23 (c) -2\/9 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1802356, 7209414, 16221178, 28837648?\nAnswer: 45058824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + -4.7. Let s = -2 - k. Let u = -0.29 + -0.01. What is the closest to 1\/4 in u, s, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 33*q**2 + 64*q - 24. What is g(-5)?\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.6 - 20. Let x = 2.2 + 8.1. Let h = w - x. Round h to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3190270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-14)*182\/39. Solve 0 = n*a - 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 43 (c) -1481 (d) 1\/2 (e) 5 (f) -309\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.77 - 0.23. Let r = o + 2.01. What is r rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128)\/24*(-105)\/40.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 899765388 by 346.\nAnswer: 2600478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 787*f - 149503. Calculate g(-320).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 - -481\/8. Let l = 37\/64 - 175\/192. Which is the second biggest value? (a) -2 (b) -4 (c) j (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -9.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 5*i. Let h be p(4). Let y be -2 + -3*(-8)\/6. Suppose w - 5*g + 3 = 0, -5*w - g = 4*g - 15. Solve -y*v = h + w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 180*g**2 + 115. Determine o(90).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88454.055 rounded to the nearest 100?\nAnswer: 88500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65903\/28 + 2353. Calculate the common denominator of 8\/7 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzlzltzmml. What is prob of sequence lltm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 - 3*d**2 + 9 + 0*d**2 + 0*d**2 + 6*d. Let p be b(-7). Suppose p = 30*s - 28*s. What is the lowest common multiple of 2 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2035035 is divided by 44.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 738 divide 446083617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 2. Does 5 divide v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3449, -42, 1, 0, -3 in descending order.\nAnswer: 3449, 1, 0, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 12:24 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 + -108 - (-28 - 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -2. Let g be 9505\/275*10\/o. Let n = g + 106\/11. What is the common denominator of 37\/12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13897, 12727, 11557, 10387, 9217, 8047?\n\"Answer: -1170*w + 15067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b**3 + 3*b**2 - 3*b - 1. Let c(h) = 15*h**3 + 5*h**2 - 5*h - 1. Let t be (-1)\/(-2) + ((-231)\/6)\/7. Determine t*m(r) + 3*c(r).\nAnswer: 5*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*z + 104*z - 228263 = 0. Let g = z + -3913219\/120. What is the common denominator of g and 85\/36?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 765*t + 834*t + 527*t.\nAnswer: 2126*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6.9 (b) 0.631 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, n: 1, k: 10}. Give prob of picking 2 k and 1 n.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.7 + -8. Let u = -0.41 - r. Let s = 42\/5 + -8. Is s less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 1 + (-1 + 4 - 2)*(1 + 2 - 4) + 4 - 1 - 1 - 1 - 2 + 4 + 1 + 0 + 1)*(-16 + 2*c + 17 - 4*c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117.947 + 118. Let m = o - 46.053. Let v = m + 45.99999946. What is v rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 + -226 - (-3 + 43)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105279281*l**2*m*r**2 - 6*l**2*m + m*r + 3106677*m wrt r.\nAnswer: 210558562*l**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 42 = 5*j - 3*a, 4*j - 4*a - 32 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from gxgxggrgxigxggggxggg.\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*q + 7 = 4*c - 286*q, -13 = -c - 4*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/6 - 3\/6. Let c be (-44)\/(-20) - (r + 2). Let p = -1\/8 + -3\/8. Sort c, p, -2\/5 in descending order.\nAnswer: c, -2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009 - -18137.74?\nAnswer: 18137.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/6642971 and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (1 - 1) - -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 1:01 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6505509?\nAnswer: 3, 17, 199, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5*(5 - 6) + (-1 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15315*v**4 - v**2 - 647*v wrt v?\nAnswer: 367560*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**6\/120 + 13*k**5\/60 + 11*k**4\/24 - 8*k**3\/3 - 44*k**2. What is z(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*t**2 + 18*t**3 - 284*t**2.\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2*k - 62 = 0, 2*l - 2157*k = -2151*k - 194 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2484, -19636, -66198, -156876, -306376, -529404, -840666, -1254868?\nAnswer: -1786716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 44 = -4*x. Solve -4*o = x*i + 4, 3 = -4*i - 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28211498 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-20) + (-33)\/(-44).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17376.3 centuries in millennia?\nAnswer: 1737.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 2*j. Let n be g(2). Let s be -359998 + n\/(-12)*3. What is s rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3791, -7578, -11365, -15152, -18939?\n\"Answer: -3787*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + o = -13, 3*i = -o - 4 - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -5 - -14 - (2 - -1) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -878367.59 rounded to the nearest ten thousand?\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -0.03492 (c) 0 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/16)\/(6\/18)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 5*r - 1. Let f be u(5). Let m = 0.133 - -0.067. Is f > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frrfrrrrrrrnqr. Give prob of sequence nqf.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 9:54 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38862*l**3 + 55925*l wrt l.\nAnswer: -233172*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, u: 2, a: 5}. What is prob of picking 1 u and 1 a?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12533 or 12540?\nAnswer: 12540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, -4, 6, -69?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 12 = -3*h. What is the tens digit of (-2 - 118)*(1 + (-9)\/h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 16) to base 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130737194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 3*z - 3. Let f(v) = -v + 1. Let d be f(1). What is the smallest common multiple of i(5) and 0 + d + (-3 - -7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 230 or -0.0233?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 35*z - 22. What is d(2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r - 0*r + 28. Suppose -3*a - t + 45 = 0, r*a - 3*t - 55 = -8. What is the remainder when 83 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51 in -3, 1\/6, 0, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6290.7817 to the nearest 100.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*w + 16 - 41 + 39 to p + a*w and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50843 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: Differentiate 4*r**3 - 278*r**2 - 97*r - 701270.\nAnswer: 12*r**2 - 556*r - 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = -4*n, 3 = -4*n - 4*r + 5*r. Put 3, n, -3, -4 in descending order.\nAnswer: 3, n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -831.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3133341 - -20?\nAnswer: 3133411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1622 - 1622 - 12*v)*(-6 + 3 + 1 + 3 - 1 - 4 + (0 + 2 + 0)*(-2 + 4 - 1) - 1 + 1 + 1 - 1 + 0 + 3 + 0 - 4 + 2 - 1 + 3 + 0).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 8*s + 8. Let o be v(7). Let g = 157\/63 + -25\/9. Is g <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -23\/4 (c) -0.1 (d) 25 (e) -1\/305\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*v - 28, 3*v = -0*v - 3. Let y(a) = -2*a**2 + 3*a + 3. Let u be y(7). Let i = -12 - u. What is the remainder when i is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21342270 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.586 less than -11.31?\nAnswer: 38.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.431 + 187.569. Let z = 525952.9863 - 525765. Let k = q - z. Round k to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18945.\nAnswer: 3, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 191162939092\/2849 - 67098258. Let o = 2\/259 + m. Solve 18\/11*v**5 + 14\/11*v**2 - 34\/11*v**3 - o + 16\/11*v - 6\/11*v**4 = 0 for v.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*s - 186 - 9 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4839917?\nAnswer: 17, 284701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -475377, -950751, -1426125, -1901499, -2376873, -2852247?\n\"Answer: -475374*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 991\/9 - 988\/9. Let k = -41 + 125\/3. Factor 5\/3*m**3 + 8\/3*m**2 + c*m - k.\nAnswer: (m + 1)**2*(5*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374160.\nAnswer: 2, 3, 5, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6 = 24. Let x be (-3)\/(-6) - (-93)\/p. Let h be (18 - 17)*(-5)\/(-1). Solve h*r - r = -x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, r: 9, d: 2, l: 2}. Give prob of sequence llrp.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -640 + 640 + 300*x**2 + 0*x + 0*x.\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-4 + 2 + 3)*(-5*d + 0*d + d)*(-1 - 1 + 4).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 7:49 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1054061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, o: 2, p: 10, x: 3}. Give prob of picking 1 o, 1 r, and 2 x.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 2, 1, -2, -25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 + -1404442400?\nAnswer: -1404442302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2002?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 36585*q**2 - 658287*q + 2961927.\nAnswer: -(q - 36567)*(q - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2 (c) -3 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179668 is divided by 631?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 123502\/(4*((-2 - 4) + (-74)\/(-12))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7312 rounded to 2 dps?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b - 88 = 0. Let s(c) = -c**2 - 10*c - 5. Let a be s(-8). Let z be (-1)\/(-2) + a\/b. What is the nearest to -1 in 3, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, 4, -23, 5, 387 in ascending order.\nAnswer: -23, -2, 4, 5, 8, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -579*q + 8976. Calculate h(16).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 5:07 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 - 6*b**3 - 4*b**3)*((2*b + 2 - 2)*(b + b + 0*b) + 0*b**2 + 2*b**2 - b**2 + 0*b**2 - 5*b**2 + 4*b**2).\nAnswer: -52*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*a + 1 = 0, -2*w + 2*a = 1 - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.31 - 48. Let d = -0.11 + g. Which is the closest to d? (a) -4 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 18*b + 41)*(4*b**3 - 4*b**3 + 3*b**3 + (-3 + 4 - 3)*(b**3 + 4*b**3 - 3*b**3) - 4*b**3 + 2*b - 2*b).\nAnswer: -90*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -263, -392, -521, -650?\nAnswer: -779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-30))\/(-2) - (-21)\/(-30)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*b = 2, -5*b = -10*b + 15. Calculate the highest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*t**3 + 21*t + 4 wrt t.\nAnswer: -510*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:16 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2607 <= -2602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 - 3*t - 8. Let b(x) = 4*x**2 - 3*x - 7. Let l(y) = 4*b(y) - 3*n(y). Let u be 7 + 0 - (4 - 2). What is l(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/3120 and 85\/64?\nAnswer: 12480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 30*h - 504. Let w be p(12). Solve 9*u - 38 + 20 = w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 472576 to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-273)\/(-14)*(-6)\/(-9). Let f = y - 6. Suppose -7*j + 3 = -4*h - 2*j, -2*h - 4*j + 18 = 0. What is the remainder when f is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -865.284 from 2726.\nAnswer: 3591.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 6*l + 9. Let f(b) = -b**2 + 7*b - 10. Calculate 6*f(w) + 7*h(w).\nAnswer: w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/136296 and -143\/6?\nAnswer: 136296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139 + -139. Solve 2*h + 8 = -m*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154045560 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -13963?\nAnswer: -13965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o - 9*o - 25*o + 31*o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1015 - -1657. List the prime factors of s.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 + 71. Suppose 4*f - 301 = -5*r, -3*r = f + 2*f - o. Suppose 2*j = 3*j - r. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**5\/60 + 2*b**2. Let u(s) = -s - 4. Let m(f) = 3*f + 10. Let o(q) = -2*m(q) - 5*u(q). What is d(o(p))?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfy when three letters picked without replacement from {f: 1, c: 2, p: 1, e: 2, y: 4}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 2448 = 3*s. Put 4, -3, s, 6 in increasing order.\nAnswer: -3, 4, 6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u + 55 - 145. Suppose u*n - 6540 = -3*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, x: 10}. What is prob of picking 2 f and 1 x?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8 + 8\/16. Let g = 15 - 103\/7. Suppose -2*h - 4*i + 16 = 0, -3*i = -2*h - 0*h + 2. Sort v, h, g in ascending order.\nAnswer: v, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q. Let b(g) = 2*g + 913. Determine b(c(u)).\nAnswer: 4*u + 913","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*m - 742 + 742)*(-5 - 2*m + 5) + (2*m - 3*m + 2*m)*(5*m - 4*m + 0*m).\nAnswer: 57*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15541.977 months in centuries?\nAnswer: 12.9516475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250767102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2563 divide 155768888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3582*d**2 + 390496*d + 6318. Calculate u(-109).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -185360 + 27552. What is x rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3916 + 3*v + 1997 + 1987 + (-6*v - v + 5*v)*(5 - 2 - 5).\nAnswer: 7*v + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110101101100100011 - 1000?\nAnswer: -1110101101100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 207 and 27?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.04, -14\/37, -0.5, -4, -2\/41?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21204619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - ((-39 - 27) + 10).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 9) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*r*z**2 - 10739*r + 4*z**2 with respect to z.\nAnswer: -54*r*z + 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 220, 0 in descending order.\nAnswer: 220, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*p - 21 = 26, -4*r = -p - 67. Suppose -t = t + r. Let s = t - -12. Solve 5*u + 3*i - 28 = 0, 3*i - 24 = -s*u - i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2133.2 - 2128.2. Let m = 0 + 3. Let f = m - 2.5. Which is the third smallest value? (a) f (b) r (c) 2\/9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -68. Sort 1\/3, t, 0.06 in ascending order.\nAnswer: 0.06, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2346317 + 14?\nAnswer: 234632b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 6 - 2 + 179*z**2.\nAnswer: 179*z**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l. Let x(h) be the third derivative of 0 + 4*h**2 + 2*h**3 + 5\/12*h**4 + 0*h. Let d(n) = n + 1. Let i(j) = -12*d(j) + x(j). Calculate q(i(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 424, 427, 430, 433, 436?\n\"Answer: 3*m + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2527 - 1251. Let f = 2473\/2 - a. What is the common denominator of f and -29\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (sqrt(704) - -4*sqrt(704)*-1) + -1)*6 + 3.\nAnswer: 75 + 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34802 + -18723. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, -92\/49, 3, -2, 20?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 47*k**6\/30 - 61*k**5\/30 - k**3\/6 - 10*k**2 - 3. Find the third derivative of c(t) wrt t.\nAnswer: 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 80c?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(243) + -2.\nAnswer: -9*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 892619588 divided by -257908?\nAnswer: -3461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c*c*c**(1\/3))))**(12\/7)\/((c\/((c\/(c*c\/c**(-4)))\/c)*c*c)\/c)**(-30) assuming c is positive.\nAnswer: c**(1720\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - 9 - -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 25\/19 (c) 22 (d) -1 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 1872*g**2 + 487*g**2 - 996*g**2 + 2*g.\nAnswer: 1363*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2210, 2196, 2170, 2126, 2058, 1960?\n\"Answer: -m**3 - 7*m + 2218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 438 in -3\/5, 1\/2, 4, 0.02, 0.1, -0.09?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1546 in descending order.\nAnswer: -3, -5, -1546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q - 2. Let v be (28\/(-5))\/(58\/145). Let x(i) = 3*i - 1. Let t(z) = v*x(z) + 6*a(z). Determine t(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (7 - 6 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (732\/(-1220))\/(170\/125*2\/((-16)\/30))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10302 - 1012001?\nAnswer: -1022303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4*h**2 - 12*h**2 + 8514*h**3 + 6*h**2 - 13.\nAnswer: 8514*h**3 - 2*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 0 + 2*b**2 + 0*b**2 + 5*b**3 - 1. Let k be l(1). Suppose g + k = 20. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 11. Let l be y(9). Suppose 2*z - 20 = 3*u, z - l = 3*u + u. Suppose -t + 25 = z*t. Solve -t = -4*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 209662 divided by -1\nAnswer: -209662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p**3 - 1315*p**2 - 1859*p - 1.\nAnswer: -36*p - 2630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 394830631 to the power of 1\/2, to the nearest integer?\nAnswer: 19870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 21310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j + 1. Let b be d(-1). Put 0, 2, b, -5 in descending order.\nAnswer: b, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 1\/8*o**4 + 0*o - 24*o**2 + 0 - 1\/2*o**3. What is the first derivative of m(x) wrt x?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159 and 36093?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 - 1100*s\/3 + 151250\/3.\nAnswer: 2*(s - 275)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 3 - -3 - 493. Let p = 704 + x. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((-10 - -11 - -5) + 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 29*k - 5. Let i be o(2). Let s = 2 + -2. Suppose -3*w + 2*w + i = s. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29248383 greater than 29248383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert 49135.28g to nanograms.\nAnswer: 49135280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtj when three letters picked without replacement from {z: 1, f: 1, g: 1, t: 1, j: 2, y: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - v + 1. Let c(o) = -9*o**3 + 3*o + 1. Calculate a(d) - c(d).\nAnswer: 10*d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*c = 17068355, -5*o + 4*c - 17355324 = -286972. Let y = 2145142 - -278526. Let w = y + o. What is w rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -87, 4 in descending order.\nAnswer: 4, -6, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 + 90. Let c(f) = -8*f - 8. Let r be c(g). Solve r = -5*l - 9 - 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -314*0.21\nAnswer: -65.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, r: 7}. Give prob of picking 3 r.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 79 - (-301 + 372)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*z = 4, -10*g = -4*z - 34 - 24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -105 - 2?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**4 + 141*g**2*r + 76*r wrt g?\nAnswer: -8*g**3 + 282*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a - 7. Let p be q(-4). Suppose 80*o + 13*o = -15*o - 324. Put o, 0, p, -4 in ascending order.\nAnswer: -4, o, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -229?\nAnswer: -2.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -2. Suppose r*i - 6*i - 20 = 0. Suppose 349 = i*o + f - 6*f, -426 = -5*o - 4*f. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**5\/60 + z**4\/24 - z**3\/2 + 7*z**2 - 3*z. Calculate x(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + -4 + -2 - -34. Let g be (-13)\/(j\/(-6)) - -2. Which is the second biggest value? (a) 5\/3 (b) 1 (c) 0 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1, -47, 0.4 in descending order.\nAnswer: 2\/3, 0.4, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(304) - (-2 + sqrt(304) - sqrt(304))))**2 - (sqrt(304) - -2*(sqrt(304)*-2)**2))*-6.\nAnswer: -14976 - 1512*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 405*c - 25. Let p(v) = -135*v + 7. Calculate -2*n(o) - 7*p(o).\nAnswer: 135*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 23*n**6\/30 + n**4\/6 + 32*n**3\/3 - 2*n**2 + 1209*n. Find the second derivative of i(s) wrt s.\nAnswer: 276*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 a when four letters picked without replacement from {b: 2, n: 5, a: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**4\/24 + r**3\/2 - 23*r**2. Let y(d) = 3. Suppose -5*m + 3*l - 19 = 0, -7*m + 10*m + 3*l = 3. Give m*o(f) + 3*y(f).\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f = 4*f + 2*u - 12, -5*f = -4*u + 27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 8*u - 4. Calculate the remainder when 31 is divided by q(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*n = 152*n - 2*b + 40, 0*b = 5*n - 2*b + 48 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 8. Let o = 2119 - 2117. Let i(y) = y - 9. What is o*t(r) - 3*i(r)?\nAnswer: -r + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2416*a + 21809. Let f be x(-9). Solve 50*h = f*h + 60 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27535?\nAnswer: 5, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m = 0. Suppose 5*f = 4*y + 105, -f + 10 = -3*y - m. Solve 3*n + f = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Let p be (1 + 0)*(n - -13). Solve -4*y = -3*a - p, -4*a + 14 + 2 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 617508 by 2018.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1441120 + 14?\nAnswer: -1441101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + sqrt(84)*-1 + sqrt(84) - sqrt(84))*-2)\/sqrt(12) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10942.164 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -5. Suppose 2*n = -1 - 9, 5*n + 53 = -4*r. Let o(b) = b**3 + 7*b**2 - b - 5. Let p be o(r). Solve -f - p*f - k = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 - 49. Let o = -20 + n. Suppose r - o = 1. What is the remainder when 16 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -7) + 48\/14.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 12*m**2 + 11*m + 14. Suppose -5*u = -4*h - 67, u - 56 = -3*u + 4*h. Let z be d(u). Solve -j = 3*g - z, -j - 11 = 5*g - 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 0*z**4 + 0*z**6 - 2*z**2 + 3\/70*z**7 + 0 + 0*z + 1\/20*z**5 + 0*z**3. What is the third derivative of c(w) wrt w?\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2))**(-32))**21 assuming s is positive.\nAnswer: s**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8935845072 - 13642.\nAnswer: 8935831430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 96\/31 (b) 1 (c) 5 (d) -1 (e) 43 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/(-110))\/((-5)\/10))\/(1\/(-2))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599250 is divided by 27140?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 16, 4*h = 2*k + 2*k + 8. Suppose -k*x + 4*c = -35 + 15, -2*x + 5*c = -20. What is the remainder when x is divided by (-2)\/(-7) + (-80)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) - (-165)\/20. Suppose 3*s + i = -4. What is the second biggest value in s, -1\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/585010 and 13\/266.\nAnswer: 4095070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5972 = -4*z + 12*s, 2*z - 27*s + 22*s - 2991 = 0. List the prime factors of z.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.558 - -3.558. Which is the closest to 6? (a) s (b) 4\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-39)\/(-91))\/(24\/28)*-10. Let u(c) = -c**3 + 11*c**2 + 5*c + 15. Let s be u(11). Sort s, z, 4 in descending order.\nAnswer: s, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(720)*-1)**2 + 3*(-1 + sqrt(720))**2.\nAnswer: -72*sqrt(5) + 5043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4*s = -70, 243*h = 246*h + 5*s + 108 for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/31))**(-1\/6)\/((v*v\/(v**(3\/22)*v))\/(v\/(v\/(v*v*v*v**(-30)*v)*v))) assuming v is positive.\nAnswer: v**(-28664\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 12*s = -32, 22210*s = 22213*s + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2496 and 1560.\nAnswer: 12480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 329911733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 3*n**2 + 7*n - 9. What is the tens digit of s(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-10) - 59440\/(-37400). Which is smaller: 2\/15 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 5 = -5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(-225) + (-1)\/3\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10873443.\nAnswer: 3, 7, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1.1, -4, 718\/7, -2\/9, 0.77 in decreasing order.\nAnswer: 718\/7, 1.1, 1, 0.77, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4708*l + 287*l**3 - 2217*l**2 + 1116*l**2 + 1100*l**2 wrt l.\nAnswer: 1722*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 104575 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*w**3 - 5*w**3 + 11*w**2 + 331 - 6*w**3 - 11*w**2 wrt w.\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.298*0.1115\nAnswer: 0.033227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18637 + -18633. Solve -5*p + 4*a + 1 = 6, -p = -u*a + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1022 and 949?\nAnswer: 13286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 133249, 133244, 133239?\n\"Answer: -5*w + 133254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8970874 is divided by 297.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359126 is divided by 89329?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4130, -8180, -12246, -16334, -20450, -24600, -28790, -33026?\n\"Answer: -z**3 - 2*z**2 - 4037*z - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 19 = -c, -28*c + 33*c + 20 = -2*d for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from ellllllllllll?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 - 391*q + 106572.\nAnswer: -(q - 214)*(q + 996)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0836 - 0.083599075. What is o rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 5. Suppose 0 = 5*d - 2*j - j - 30, -d + 18 = -3*j. Let s be k(d). Let z(w) = -3*w**2 - s*w**2 + 2*w**2 + 4*w**2. What is z(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + 0. Let x = -43 + y. Let n = 27 + x. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 123721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)*1)\/sqrt(4) - -5*sqrt(28)) + 5 + ((1 + sqrt(14)\/sqrt(2) - 1*sqrt(567))*4)**2.\nAnswer: -245*sqrt(7) + 7189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-2)\/5*(-10)\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1418, -1470, -1558, -1682, -1842?\n\"Answer: -18*p**2 + 2*p - 1402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*u**2 + 1 - 45*u**2 - 1.\nAnswer: -126*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + i - 3*i = 266, 0 = 5*q + 4*i - 326. Let r(y) = -35 - 31 + q - 3*y. Let j(v) = -v - 7*v + v. Determine r(j(s)).\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - y - 20. What is g(0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000355 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 138836*n**2 + 555320*n - 555312.\nAnswer: 2*(n - 69414)*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 416*r - 73*r + 117*r to the form i + n*r and give n.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, 0.5, -3, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 + v**2 + v. Let b be w(-3). Is (b\/20)\/(6\/(-45)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1058 - 4*o**2 - 1058.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uddidiudddddddi. Give prob of sequence didi.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5 + 3188*h**4 + 6370*h**3 + 3184*h**2.\nAnswer: 2*h**2*(h + 1)**2*(h + 1592)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 2:25 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m - 12529 = -54*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473764703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1899281?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 0*t**2 + 7 + t + 0*t**2)*(-t + t - 4*t**2).\nAnswer: 4*t**4 - 4*t**3 - 28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8140, 7, 10 in descending order.\nAnswer: 10, 7, -1, -8140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 48 = -78. Suppose 3*g + 4 = 2*g. Let z = 3 - -2. Sort s, z, g in increasing order.\nAnswer: g, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 41, 10, 8.9735?\nAnswer: 8.9735","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-672)\/(-320)*225\/(-210)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11318245 to the nearest integer?\nAnswer: 3364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.177 - -0.077. Which is the fourth smallest value? (a) j (b) -4 (c) 1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17429881\/49206 - 20906\/59. Calculate the common denominator of k and -67\/417.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(63)*-2 + sqrt(63) - sqrt(63))*-2 + (sqrt(4032) - 4*sqrt(4032) - sqrt(63)))\/(sqrt(1089)*2*6 - (sqrt(1089) + sqrt(1089)*-2*-2)))**2.\nAnswer: 63\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 - 18*v + 45 in the form w*v + b and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/2 + 9*j\/2 - 3.\nAnswer: -3*(j - 2)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1 - 4*k**2 + 8*k**2 - 17*k**2 - k**3 - 7 - 26*k - 8. What are the prime factors of s(-11)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3487 > -3485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*l + 20*l + 22*l)*(0*l + l + l)*(13 - 8 + 20).\nAnswer: 2900*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 25*s - 65. Let d be y(5). Calculate the highest common factor of d and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -529759.927 and -0.06383.\nAnswer: -529759.99083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*488\/183.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14529282 to the power of 1\/2, to the nearest integer?\nAnswer: 3812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -16*n**3 - 4*n**2 + 12*n + 68. Let p be v(-4). What is the greatest common divisor of 49 and p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*o**5 + 84*o**2 - 84*o**2 + (o + 4*o**2 - o)*(-21*o**3 + 0*o + 0*o))*(-3 + 1 - 2).\nAnswer: 432*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 != 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -5, -21 in descending order.\nAnswer: 0, -3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 947, 1889, 2823, 3743, 4643, 5517, 6359?\nAnswer: 7163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5772977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -7*y**4\/4 - y**2\/2 - 1. Let h be w(1). Let m = h - -13. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 1)\/(3\/(-5)). Suppose -k*y - 130 = 260. What is the units digit of y\/(-9) - 1\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*(-2*sqrt(252) + sqrt(252)))**2 + (sqrt(28) - (sqrt(28) + -1)*6)**2 + -4 + 5.\nAnswer: -120*sqrt(7) + 227537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1246757, -1246753, -1246749, -1246745, -1246741, -1246737?\n\"Answer: 4*g - 1246761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 309 = -3*p, -3*p = -3*h + 31 - 340. Let k be (2\/(-2))\/((-1)\/(-57)). Let d = k + p. Calculate the remainder when d is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 6*w**2 + w - 2. Let g(a) = -3*a**3 + 13*a**2 - 2*a + 5. Let i be 1\/17 + 1100\/374. Determine i*g(k) + 7*r(k).\nAnswer: -2*k**3 - 3*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k**2 + 2 - 12*k**2 - 8*k**2 - 5*k**2 - 4*k**2.\nAnswer: 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(-3 + sqrt(1088) + 1 + sqrt(1088) + sqrt(1088) + -1 + (-6*-1*sqrt(1088) - sqrt(1088))*-6))**2.\nAnswer: 3024*sqrt(17) + 793201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 744 by 6.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -349549*b**2 + 2*b + 1534?\nAnswer: -699098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*c, -198 = 5*x - 5*c + 17. Let z = x - -57. Calculate the remainder when z is divided by (-13)\/(-2) + 3\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*k*t**2 + k*t - 3588418*k + 81207*t**2 + 3*t wrt t.\nAnswer: -16*k*t + k + 162414*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g**2 + 5*g**2 - 6*g**2)*(g - g + g)*(3*g - 4*g + 0*g)*(0 + 4 + 2) to the form b*g**3 + n*g + s*g**2 + a*g**4 + z and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3403, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5526896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (12 + 0 + 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(-5 + -1*(-5*sqrt(704) + sqrt(704) - (sqrt(11) - (sqrt(11) - (sqrt(88) + sqrt(88) + (sqrt(88)*-3 - sqrt(88)))\/sqrt(8) - sqrt(11))))))**2*-5.\nAnswer: -476825 + 13950*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19882, -79510, -178890, -318016, -496882, -715482?\nAnswer: -973810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3072, -12218, -27456, -48780, -76184?\nAnswer: -109662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-12)*(l\/(l\/l**(11\/5)))\/l*((l*(l\/l**(5\/4))\/l*l*l)\/l)\/l*l*l**(-2))**35 assuming l is positive.\nAnswer: l**(-1687\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-28)\/(-6) - 3)*3. What is the remainder when (-56)\/(-10)*f\/2 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -492226?\nAnswer: -492231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (4 - 4) + -7 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*c**5 - 31*c**5 + 2*c**5 + (12*c**3 + 24*c**3 - 10*c**3)*(3*c**2 + c**2 - 5*c**2).\nAnswer: -68*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a century in years?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 215 + 0 + 0. Let d be (3\/2)\/((-14)\/105 + 2\/40). Let u = i + d. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + -51 + (6 - -12) + 14 + (-2 - -14).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l + 7. What are the prime factors of v(9)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.186009 millimeters to micrometers.\nAnswer: 186.009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3853\/15 - -257. Let o(u) = -u**3 + 5*u**2 - 1. Let l be o(5). Is w greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16297011 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 677517, 1355234, 2032951, 2710668, 3388385, 4066102?\nAnswer: 4743819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -230111?\nAnswer: 230111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44984122 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 2*y**2 - 7*y + 19. Let c be p(2). Suppose 3*n - 3249 = -r, -r = -4*n + c*n - 1081. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 0 - 2\/7*h**3 + 1\/210*h**5 + 0*h - 5\/84*h**4 + 24*h**2. Determine z, given that f(z) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 258 and 556236\/2149 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 71\/4 of a gram?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o + 6. Let w = -4 + 12. Let i(b) be the first derivative of 11*b**2\/2 - 17*b + 1. Let r(z) = w*m(z) + 3*i(z). Determine r(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 513, 1633, 3815, 7413, 12781, 20273?\nAnswer: 30243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-32)\/20)\/((-2)\/5). Suppose 0 = -m*c - 0*c. Solve 0 = 5*h + 3*v - 20, -9 = h - 2*v - c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 7:28 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 157 + -154. Let x(g) = -g**3 + 2*g**2 + 2*g + 3. Give x(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 30, 0, 4, 2 in decreasing order.\nAnswer: 30, 4, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + 22. Let w be d(-9). Let m(h) = -6*h + 2 + h**2 + w - 2. Determine m(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 0*h - 213*h**2 + 428*h**2 - 213*h**2 + 14*h. Let l(s) = 5*s**2. What is a(l(z))?\nAnswer: 50*z**4 + 85*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 9*s - 13. Let u be x(-4). Let t(m) = 4*m + u - 4*m - m**2 - 4*m. Let n be t(-5). Solve 32 = 2*c + n*c + 4*z, 2*c = 5*z - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 79 + 201*s**2 - 199*s**2 as o*s + a + g*s**2 and give a.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x**5 + 2*x**4 + x**3 - 7*x**2 - 4*x. Let r(y) = -6*y**5 + 2*y**4 + 2*y**3 - 6*y**2 - 4*y. Let i(z) = -5*r(z) + 4*u(z). Solve i(j) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x. Let u(v) be the first derivative of v**3\/3 - 8. Determine w(u(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**5 + 3*d**5 + 0*d**5 + 15*d**5 + 10*d**5 - 3*d**5 + (d - d + 2*d)*(2*d**3 - 2*d**3 + d**4) - d**5 + 3*d**5 + 0*d**5 - d**5 + d**2 - d**2.\nAnswer: 34*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140151 is divided by 128?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 435 divided by -1\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2546 - -2550. Suppose 0 = -2*w + 4*w - 8. Calculate the least common multiple of w and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812917207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:42 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -191 not equal to -569\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-9801)\/(-242) + -48)\/(3\/(-32))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13) - (sqrt(39)\/sqrt(3) + 0))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 22*k**2 + 21*k - 22. Let y be i(-23). Suppose -39*a = -35*a - y. Factor a*u**2 + 3*u**2 - 63*u**2 - 34*u + 0*u**3 - 8*u**3 + 12.\nAnswer: -2*(u + 1)*(u + 6)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*f - 10. What are the prime factors of f\/15 + (-44)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 24.4?\nAnswer: 73.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.5 - 5. Let q = -177\/4 - -44. Which is the nearest to q? (a) -5 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330545 is divided by 10648.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 2)*(-2 + -1). Let c(g) = -9*g + 8*g - 54*g**2 - 4 - h*g. Let b be c(-13). What is b rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (4 + (-1 - 0)). Let h be ((-2)\/(-3))\/(l\/(-207)). Suppose h = u + u + w, -2*u - 5*w + 3 = 0. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 - 20*v**3 + 19*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*p - 194, -c = -3*p - 41 - 62. List the prime factors of c.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = v - 5. Suppose -45 = -f + 3*q + 85, 304 = v*f + 5*q. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3644152 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(1\/3)\/k))\/k**21 assuming k is positive.\nAnswer: k**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 666 + -660. Let i be (-102)\/18*t\/8. Which is the closest to -2? (a) i (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12083*w**2 - 66749*w.\nAnswer: -24166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24101 - -3?\nAnswer: -24076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13312 times -16.87?\nAnswer: 224573.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 2*g**2 - g**4 + 505*g**2 - 505*g**2 - 60*g**4 + (-2 - 3 + 2)*(-7*g**4 + 3*g**4 + 3*g**4))*(-2*g + 2*g + 5*g) + 0*g**5 + g**5 + 2*g**5.\nAnswer: -287*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3841.96177 rounded to the nearest integer?\nAnswer: 3842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2)*(12 + -12). Solve -5*d - 7*d + 60 = u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -8. Let d = -14386 - -201293\/14. Let u = -15\/2 - d. Which is the closest to -0.1? (a) u (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -487000 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) - 10\/(-12). Let v = -13471 - -6829795\/507. Let c = -76\/507 + v. What is the closest to z in c, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 15 - (48 + (-74 - -8)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 399 by 135570.\nAnswer: 133\/45190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*n + 19, u - 6*u + 4*n + 11 = 0. What is the tens digit of (u\/(-4))\/((-9)\/468)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 greater than -16080\/227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001577842446 rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + w. Let l(u) = 4*u - 2. What is l(o) - 2*n(o)?\nAnswer: 2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + -35 + (-8 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 10:51 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/5)\/((-6)\/(-20)). Let k be (-13)\/4 - (-2)\/j. Let h = 6\/13 + -68\/91. Which is the third biggest value? (a) 2 (b) h (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0351 - -103.0351. Put h, 2\/5, -1\/5 in descending order.\nAnswer: h, 2\/5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*h**2 - 4367 + 4367 - 322*h**2.\nAnswer: -265*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2)\/a*a**(1\/4)*a)\/(a*a**4*a*a*a*a*a\/a**(6\/11)))**14 assuming a is positive.\nAnswer: a**(-2681\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63417, 253673, 570765, 1014693, 1585457?\nAnswer: 2283057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/8 + 4\/(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2 - 77152*n + 385810 = 0.\nAnswer: -38581, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**1)**(-1\/4)\/(k**(-9)\/(k*k**(-5\/4))))**(7\/5) assuming k is positive.\nAnswer: k**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + -18*(-3)\/(-66).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*r + 140 = -3*r, 2*s = -5*r - 56. Let u = s + 63. Suppose 0 = -3*t - 2*t + u. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**3 + 12*a**2 + 20*a + 3. Let h be k(-2). Let r(s) = 17*s - 6. Let d(m) = -8*m + 3. Calculate h*d(w) - 6*r(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -5. Let b(x) = -x**2 - 38*x - 101. Let q be b(-3). What is the units digit of (q\/(-3))\/(t\/129)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 908952 and 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/85 in 2\/3, 1\/51, 3, -1\/4?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -546 greater than -545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-2)*(290 - 291).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**5\/9 + 808*q**4\/3 + 36208*q**3\/9 + 19554*q**2 + 310831*q\/9 + 56210\/3 = 0?\nAnswer: -2409, -7, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -2 (c) -155 (d) 89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in months?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -178677*l**2. Let z(m) = 3*m**2. Determine z(y(s)).\nAnswer: 95776410987*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 17, s: 2}. Give prob of picking 4 i.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 912 and 0.85.\nAnswer: 775.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -480674.7286 to the nearest 10.\nAnswer: -480670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3228 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w + 5. Let b(u) = -13*u - 19. Let k(y) = 2*b(y) + 9*z(y). Give k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 7*v**2 - 13*v + 5. What is s(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -19923 > -19920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*m + 27*m - 12*m to t*m + n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 7*h + 624. Let u = 81 + h. Solve -m = -u*m - 4, 2*t + 10 = -3*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 824 - 1654 = 0. Suppose -w + l = -a, 0 = w - 2*l - 24 - 393. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r + 201167*r**2 - 14*r - 201250*r**2 + 9 - 3*r.\nAnswer: -83*r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(1539) + -1 + sqrt(1539)))**2 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2 + 0*z**2 - 4 + 3*z**2 - 3 - 3*z + z**3. What is y(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*b - 3*n + 4, 0 = 2*b + n - 8. Let z(y) = y + 1. Give z(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (155 - 74) + (-40 - (-7 + -5)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m**3 + m**2 - m + 1. Determine k(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v - 149. What is the remainder when p(-35) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189045821 is divided by 5057?\nAnswer: 5047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/35)\/(9\/(-126)*2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10102 (base 3) to base 9\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18445 or 18444?\nAnswer: 18445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 1610*q + 129605.\nAnswer: 5*(q - 161)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3119641938?\nAnswer: 2, 3, 7, 23, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 11:21 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:43 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 1. Let k(l) = -10*l - 26. Let g(u) = -6*k(u) - 156*r(u). Let d(h) = -5*h. Let y(w) = -35*d(w) - 3*g(w). Let v(o) = 8*o**2. What is y(v(n))?\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 8*a + 1. Let i be d(8). Let j = -42.6 + 134.6. Which is bigger: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5132 is divided by 145?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 - 2*o**2 + o - 32. Let m(h) = -h**3 + 2*h**2 - h + 31. Give -3*m(a) - 2*y(a).\nAnswer: -a**3 - 2*a**2 + a - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9654212*h**3 - 154*h - 2809 wrt h.\nAnswer: 57925272*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 80 and 3328101.\nAnswer: 3328181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:30 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1689 - 1654 - (0 - (-9 - (1 + -1)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1047383176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.8 + -3. Which is smaller: q or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29420.\nAnswer: 2, 5, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 571 + -550. Suppose -5*a - m = -6. What is the nearest to -2 in 3, a, -9\/5, 0?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 4*t**3 + 3*t + 2 - 3*t to the form v*t**3 + n*t + f*t**2 + d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 + n**4 + 2*n**4 + (-5*n + n + n)*(n**3 - 4*n**3 + n**3))*(-n + 0*n + 0*n).\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 76*h**3 - 12\/5*h**5 + 52*h**2 - 52*h**4 + 0 - 368\/5*h = 0?\nAnswer: -23, -1, 0, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 126*v**3 - 8*v**2 - 8*v - 20. Let b be y(6). What is b rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by (2\/(-3))\/(3\/(-63))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 162838*j**3 - 213*j**2 - 395318771*j.\nAnswer: 977028*j - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2046 is divided by 2012.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 10*g**2 + 33*g**2 - 42*g**2 in the form n*g**2 + j + a*g and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i**3 - 3*i**3 + 7*i**3)*(-2 - 1 + 4 + 5*i) + 3*i**4 + 2 - 2 as t + b*i**3 + l*i + g*i**4 + x*i**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*((-b + 4*b - b)*(1 - 5 + 1) + (-2 - 4*b + 2)*(3 - 1 - 1)).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8082 + -2062. What are the prime factors of k?\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1300 - 1290. Solve 20 = -i*s - 10 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1805 + 3429\/2. Let d = t - -92. What is the fourth smallest value in 5, 4, d, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3852990.06 - 12?\nAnswer: -3853002.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1227*c + 4873. Give v(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 403303 (base 6) to base 3\nAnswer: 1121201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96336.6 days in minutes?\nAnswer: 138724704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r**2 + 20*r**2 + 23*r**2 + 14*r**2 + 9*r - 75*r**2.\nAnswer: -2*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3 = -3*u + 13, 2*u - 8*a - 4 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from wettttjetetjttttett.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 + 10*f. Let n(b) = 7*b**2 + 18480*b - 17186580. Let q(i) = -6*g(i) - n(i). Let q(h) = 0. What is h?\nAnswer: 1854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28+-233.3\nAnswer: -205.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -17*y**3 + 1362*y**2 + 2*y - 12943. Give i(80).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6969 + -552. Let j = f + 82677\/11. Let i = -3565\/249 + 25\/166. Find the common denominator of i and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10230 and 19140.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -10*b + 16. Solve 7 = -2*n + z, 4*n + z + b = 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - s**2 + 2 + 2*s**4 + s**2 - 5*s**4 + s**3 to o*s**3 + h*s + p*s**4 + d + z*s**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 27945797.873 and -0.937.\nAnswer: 27945796.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 3, w: 17}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccyccqcccqcyqmcmy. Give prob of picking 1 c, 1 y, and 1 m.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 + 3.11. Let x = o + 16.8. Let v = -20.4 + x. Is -1\/6 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = v - 2*v. Suppose 35 = -4*p + v. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -5158, -3, 9.\nAnswer: -5158, -4, -3, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -1\/12*r**4 - r**2 + 0*r + 0 - 1\/12*r**6 - 1\/12*r**5 + 2\/3*r**3. Is b(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.04 + -0.04. Let m = 87\/883 + -115247\/49448. Let c = m - -13\/7. What is the nearest to 2\/7 in 5, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -904.2 - -904. Which is the closest to 3? (a) u (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 286 (base 12) to base 4\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 16*l**2 + 27*l - 11. Determine n(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4382.\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42240 = 9*g + 42258. Let k(t) be the first derivative of t**5\/30 + t**4\/12 - t**3\/3 + 1. Let o(v) be the third derivative of k(v). Calculate o(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/(105\/6))\/(88\/55). Sort b, -10, 4.\nAnswer: -10, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 818754810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, n: 2, o: 6, g: 2, h: 1}. What is prob of picking 1 o, 1 g, and 1 h?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 5, c: 1, v: 8, s: 5}. What is prob of picking 1 g and 1 i?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/(-39))\/((-2)\/(-12)). Suppose 6 + 6 = l*d. Solve -d*j - j + 20 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -17.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 1650?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 12 + 6*n**2 - 3*n + 1 + n. What is i(3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23336, -46679, -70026, -93377?\nAnswer: -116732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68785571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6417035 + 1?\nAnswer: -6417034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 at most -1100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 6*l - 10 = 0. Suppose g = 8*p - 3*p + 15, 15 = -2*g - l*p. What is g rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and -1.7828?\nAnswer: 1.96108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d58 + 2?\nAnswer: 4d5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*x - 198, 4*k - 133 = 4*x + 131. Let f = 236 - 82. What is the highest common divisor of k and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 161812 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - 219\/(-9))\/((-2)\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -5*h**3 - 11*h**2 - 2*h - 3. What is the hundreds digit of w(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**5\/160 - r**4\/16 + 11*r**3\/48 - 3*r**2\/8 - 102*r + 88. Let c(u) be the first derivative of n(u). Factor c(m).\nAnswer: (m - 3)*(m - 2)*(m - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - x + 8, -x + 5*x = 4*t - 28. Suppose -5*u = -2 + 27, 4*l = t*u + 123. Differentiate p**4 + 90*p - l - 90*p wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(121)*-2)\/(sqrt(55)\/(-1*sqrt(5))) - (6*(sqrt(891) + 1 + sqrt(891))**2 - (sqrt(891) + 0)**2*2)*-2.\nAnswer: 436*sqrt(11) + 39216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*i - 3 = 17, -2*i + 10 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139*h**2 + 139*h**2 + 66*h**4)*(3 - 7*h - 8*h - 3) + (1 + 2*h**3 - 1)*(-4*h**2 + 0*h**2 + 6*h**2).\nAnswer: -986*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**3\/6 + 9*s**2\/2 - 8*s + 5. What is r(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1137 hours to milliseconds.\nAnswer: 409320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 45 + 32*g + 9*g**3 - 67*g**2 + 19*g - 19 + g**4 + 100 = 0.\nAnswer: -14, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10)\/(-25) + 2\/5 - 767508\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297106.84 minus 413?\nAnswer: 296693.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2200 divide 281048031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6359.\nAnswer: 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (2 - 7)) + -7 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.538+4.4\nAnswer: 2.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/19, 260\/3, -0.24.\nAnswer: -0.24, 8\/19, 260\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 494*k + 65*k + 9371 = -32197 for k.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -5.5. Let n = -3.79 + 0.19. Let y = -4 - n. Which is the nearest to -0.8? (a) y (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 3*k + 2*k + 42, 4*q + 2*k = -36. Let g = -28266 - -28295. Which is smaller: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113 - -112. Let j(t) = 1. Let c(r) = -r**2 - 2*r + 8. What is g*c(b) + 6*j(b)?\nAnswer: b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*x - 260*x + 112*x.\nAnswer: -57*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 0 + 0*c + 2*c**3 - 15*c**2 + 1\/4*c**5 + 0*c**4 + 1\/120*c**6. Is k(-15) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42\/(-15) + 2)*5. Let j = -2 - v. Put j, 1, 4 in decreasing order.\nAnswer: 4, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 277\/(-11) + (-8)\/(-44). Let n = x - -41. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 28819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 138163 (base 9) to base 2\nAnswer: 10100101011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 4, 10 in decreasing order.\nAnswer: 10, 4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6658700 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 294\/35*(-20)\/(-16)*2884\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/11492514 and 85\/6534?\nAnswer: 379252962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3740 and 49517820.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + b = -2 + 17, 4*w = 4*b + 24. Let c be (1 + -22)\/w*34\/(-6). What is the second derivative of 44*h - 59*h - c*h**5 - 15*h**5 wrt h?\nAnswer: -640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -619 and 442.99.\nAnswer: -274210.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaeeeff. What is prob of sequence afaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 + 18*i + 48. Determine v(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (2 - 0\/2). Let q = 26 - 27.3. Let w = 1.2 + q. What is the smallest value in h, w, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + (-17)\/(-7))\/(1410\/1155*11)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 119*t**2 - 5*t - 1107 wrt t?\nAnswer: 238*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*y - 721594 + 752504 = 0 for y.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 20*p + 76. Determine k(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6*l**4 - 2)*(1 + 1 + 2) + 4*l**3 + 5*l**4 - 2*l**4 - 6*l**3.\nAnswer: 27*l**4 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 5 - 10\/(-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 605 and 80.\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -0*t + 3*t. Calculate the remainder when (-3)\/(-6) - t\/(-2) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2442*o**2 + 1138 wrt o?\nAnswer: -4884*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/9 (b) -6 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0783961 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 191, 301, 421, 551, 691?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4206972 divided by 11?\nAnswer: 382452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(5\/2)*r)\/r)\/(((r\/r**(-2\/7)*r)\/r)\/r))\/((r*r**(1\/3))\/r*(r**(-6)*r)\/r) assuming r is positive.\nAnswer: r**(331\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*n, -i + 6*n - 5*n + 10 = 0. Solve i*l = 3*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p - 346. What is the remainder when l(-65) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n + 0*n - 7*n + (6 - 4 + 0)*(3*n - 2*n + 0*n) + (-4 + 1 + 4)*(-3*n + 2*n + 2*n) - n + 4*n - 6*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/21168 and 193\/90720.\nAnswer: 635040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**4\/4 + 2*p**3 + 4*p - 5. Give z(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 132475 - -2?\nAnswer: 132477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3)*q)**8*(q*q**(-9)\/q*q*q)\/q*q\/(q\/q**(4\/7)))**(-2) assuming q is positive.\nAnswer: q**(328\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35196, 134740, 300648, 532920, 831556?\n\"Answer: 33182*v**2 - 2*v + 2016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1851048229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3685, -9121, -16321, -25285, -36013?\nAnswer: -48505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8056*o. Let a(g) = -167*g**2. Determine a(w(m)).\nAnswer: -10838155712*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 1, -8, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 76\/24 + 10185\/360*-4?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 12*u + 36 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c + 0*c + 4 - 2*c.\nAnswer: -10*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 - -84. Suppose 0 = -5*m - 5*r + 1345, 6*m - b*m - r = 1066. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 less than or equal to 70298\/2201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659581639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*(20\/4)\/10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*w**2 + 3603*w - 44631.\nAnswer: -3*(w - 19)*(22*w - 783)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 652475 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 5 + 5)*(4 - 4 + 3)*(-2 - 3 - 5) + (a + a - a)*(-5 + 2 + 7) to p*a + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 4*o**6\/15 + o**5\/60 - o**4\/12 + o**3\/3 + 19*o**2. Is r(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 + 78. Calculate the least common multiple of (-4)\/6*3*-1 and (-1)\/(3\/z)*(-8)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6 (b) -343 (c) -3 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 764 - 770 + 32*u**2 - 2*u - 3*u**3 - 111*u**2 + 56*u**2 to the form b + k*u**2 + p*u**3 + j*u and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 282240.3343 rounded to the nearest 10?\nAnswer: 282240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 12) in base 6?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, m: 4, v: 4}. What is prob of sequence mnv?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 2)*(9596*n - 2*n**3 - 41*n**2 - 9586*n - 2*n**3).\nAnswer: -20*n**3 - 205*n**2 + 50*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - i. Suppose -3*z = 2*z. Let w be m(z). Let f(b) = -b + 7. Determine f(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.98 + 28.98. What is the second biggest value in 0.05, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 + 2*j**2 - 2*j + 3. Suppose 30 = 5*l + 10*l. Determine o(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6272 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1588107, 3176215, 4764327, 6352443, 7940563, 9528687, 11116815?\nAnswer: 12704947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**4\/24 + 4*u**3\/3 + 10*u**2. Let z be w(6). Solve 0 = -4*f - 10 + z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4714*q + 4710*q + o, -3*q - 3 = 3*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 3*o - 161. Factor 14*w**2 - 9 + 18*w**o + 1 - 24*w**3.\nAnswer: -2*(w - 2)*(w - 1)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.6978123 to two decimal places.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030064534 rounded to five decimal places?\nAnswer: -0.03006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a16429 + -4?\nAnswer: a16425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 646 = -5*w, 3*z + 2*z - 1648 = 4*w. Let l = z + -832. Find the common denominator of 4\/18 + 4711\/l and -81\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 156160 + -6?\nAnswer: 156156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 511.6868 milligrams in micrograms?\nAnswer: 511686.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -1\/330*v**5 + 0*v - 21*v**2 + 0*v**3 - 1\/132*v**4 + 0. Find a, given that c(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/80*5\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 321749*x + 2 + 321748*x - 643498*x - 2 - 2.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 34*j**3 - 68*j**3 - 92*j**3.\nAnswer: -194*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwaawwaawww. Give prob of picking 2 a and 1 w.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + 11*n**2 - 19*n**2 + 14*n**2 - 7*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 218744 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.95999 - -0.03001. Let i = x + -23. Suppose 7*d - 25 = 2*d. What is the closest to 0 in i, d, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 563*f - 958. Calculate q(2).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*d - 101 + 5. Let f(i) be the second derivative of 0*i**3 + 0*i**2 - 2*i + 0 - 1\/6*i**d. Let j(v) = -2*v. Calculate f(j(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/13, -535, 0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyrrrrrrrryyrr. Give prob of sequence yry.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 88 = 4*d - 2*l, -l = -4*d + 60. What is the highest common divisor of 64 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllylyy. Give prob of sequence ly.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 68*r + 446. Let o be p(25). Let y(w) = -4*w - 2 - 1 - w. Give y(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.058, -0.5, 26, -9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5686 + i**2 + 0*i**2 - 7628 - 122*i + 1989 - 1725 wrt i?\nAnswer: 2*i - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-5))\/((-3)\/(-3)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 3 = k. Let c be (2\/3)\/(3\/k). Solve b = -c + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - ((-506)\/252 - (-34)\/153). Which is bigger: -4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21570 to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.500342 millennia?\nAnswer: 550.0342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80088, -158810, -237554, -316326, -395132, -473978, -552870?\nAnswer: -631814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)*h**(-2\/5)\/h*h**0\/(h\/h**(2\/17)))**22 assuming h is positive.\nAnswer: h**(-13618\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 7*t**2 - 4*t + 5. Let s be u(-6). Let j be (-3)\/(-12) + s\/(-4). Let v be 3\/3 + 10*j. What is the highest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 9:12 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 divided by -15872?\nAnswer: 121\/15872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -45. Let p(q) = 6*q**2 + 1. What is the remainder when p(3) is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.44 * -0.192\nAnswer: 0.08448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three sevenths of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2744432 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 9. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d**2 - 15*d**2 + 21*d**2. Suppose -147 + 35 = -4*t. Let s(w) = 4*w - t + 28. Calculate s(f(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -8. Suppose -4*u - h - 16 = 0, -7*u + 3*u - 16 = -3*h. Sort q, 4, u in increasing order.\nAnswer: u, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2363\/15 + -157. Let v = r + -1\/30. What is the closest to 2\/5 in -0.4, -0.9, v, 1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4996 is divided by ((-8715)\/(25 - 4))\/((-2)\/8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -5 + (-5 - (-14 + 9)) - -14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5 + 126*l**2 - 378*l**2 - 7*l + 132*l**2 + 122*l**2. Suppose 4*u = -2 + 18. Determine g(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - -86 - (-5 + 21)) + 1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, -2, 0.2, -0.06 in descending order.\nAnswer: 0.2, -0.06, -0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 34304295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 21*h**2 - 4*h - 16. List the prime factors of k(-3).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 35*c**2 + 67*c + 108. Let g be h(36). Is 1223 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16607025?\nAnswer: 3, 5, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 13. Suppose 5*x + 4*l - 11 = 1016, 4*x = i*l + 806. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5046 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -121*x**5\/20 - 143*x**3\/6 + 60*x - 1. Let n(a) = -5*a**3 - 6*a. Determine 6*k(b) - 143*n(b).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -369595 or -369578?\nAnswer: -369578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 5 - 1 - -5) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Solve -5*d + a = 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 140*z + 120 - 359 + 74 + 82.\nAnswer: 140*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 425 = 5*i, -8*r + 4*r = -2*i - 154. Let c be (i\/145)\/(2\/(-20)*2). Solve 2*h - c = 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145*x - 1037 wrt x.\nAnswer: 145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4298.956 - 4330. Let g = j - -31. Round g to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((4368\/(-210))\/52).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 21\/(-9))\/(-1). Let s = 128857 - 128856.1. Which is the second smallest value? (a) u (b) 2\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3 = -g, -5*h + 2*g = -10*h + 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 12 (c) -4 (d) 1\/8 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**3 - 8*q**2 + 10. Let t(y) = y**2 - 1. Let m(f) = 2*n(f) + 20*t(f). What is the third derivative of m(j) wrt j?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(5\/2))\/d)\/(d\/(d**(-2\/19)*d))*(d\/(d*d\/(d\/d**0)))**(-7\/4) assuming d is positive.\nAnswer: d**(-99\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*m + 13 + 9 = 0, -5*i - 4 = 2*m. Let t(h) = -2*h**3 - 3*h**2 + h + 2. List the prime factors of t(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(5\/4))\/(d**(1\/2)*d))\/(d**(-2\/9)*d**(-2\/11)))**(-42) assuming d is positive.\nAnswer: d**(3731\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -625 + 627. Put 3, 5, i, -6 in decreasing order.\nAnswer: 5, 3, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 1\/2*r**2 + 4 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 1:31 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244016 is divided by 20332.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 7. Calculate the lowest common multiple of t and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - f + 9. Suppose -5*d + 14 = -7*d. List the prime factors of h(d).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2553410, 2553398, 2553360, 2553284, 2553158, 2552970, 2552708?\n\"Answer: -2*n**3 - n**2 + 5*n + 2553408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**2 - f + 4. Let n be a(2). Let b = 66 + n. What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 95 - 441. What is the greatest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 164 = 5*w. Suppose -3*r + w = -v - v, -v + 5 = 0. Let y = r + 20. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37.5 - -14.3. Let l = -54 + q. Let v = -2.200211 - l. What is v rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 - 10*z - 3. Let a(o) = -3*o**2 + 40*o + 2*o**2 - 2 - 49*o. Let p be (((-10)\/15)\/(30\/9))\/((-13)\/195). Calculate p*a(y) - 2*k(y).\nAnswer: y**2 - 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -406 (base 9) in base 10?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-40))\/(9\/(-15))*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - 5*t**3 + 3*t**3 + (-22 + 5*t + t**2 + 2*t - 6*t)*(-5*t - 3 + 3).\nAnswer: -4*t**3 - 5*t**2 + 110*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -q + 5*q - 76, 0 = 5*q - 20. Let w be (-12)\/(-32)*p*10. List the prime factors of 25*(-12)\/w*-9.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3121 + 32422340?\nAnswer: 32415215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-18)*20\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63358.\nAnswer: 2, 79, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -16*r - 10. Let d(c) = -187*c. Give a(d(x)).\nAnswer: 2992*x - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1410 and 1320?\nAnswer: 62040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, z: 6, m: 3, b: 4}. Give prob of sequence smms.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133931 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 5:37 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from ggkgggkgggkggkgk?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 863*s**2*x**2 + s**2 + 6*x**2 + 52 wrt s?\nAnswer: 1726*s*x**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236936 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(sqrt(931) + sqrt(931)*-5 + 0 + 5) + 3)**2*-4.\nAnswer: -238912 + 5376*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 12, -7, -5, 269, -2 in ascending order.\nAnswer: -7, -5, -2, -1, 3, 12, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 - 6*o - 6. Let n(a) = -5*a**2 - 7*a - 7. Let t = 4 - 10. Let j(s) = t*n(s) + 7*k(s). Let w(l) = 6*l**2. Calculate j(w(y)).\nAnswer: 72*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -1 (c) -17 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -239 + 247. Let a = -3 - -5. Calculate the greatest common divisor of a and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301323 + -33?\nAnswer: 301230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/((-80032)\/41)*(-4)\/(-1)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*x**2)*(2*x**3 - 2*x**3 + x**3) - 19*x + 19*x - 7*x**5.\nAnswer: -5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/45 of a hour?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1576 and 6304?\nAnswer: 6304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 5*m**7\/42 - m**6\/3 + 5*m**4\/6 - 5*m**3\/6 - 3*m. Determine g so that h(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 5*q + 1. Let h be j(5). Calculate the common denominator of 107\/20 and (-50)\/(-5)*h\/(-12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76.29 - 34.56. Let c = 2.15 - i. Let r = 114 - c. What is the biggest value in 0.2, -1\/4, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 12:49 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*t - 65, -2*t - 3*z + 2 = 1. Let h be ((-2)\/(-22))\/((-4)\/t). Let q = 335 + -337. Which is the smallest value? (a) q (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103052545.81 take away 4?\nAnswer: -103052549.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8 - -24.2. Let x = 24.1 - h. What is x rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14060, 15004, 15958, 16928, 17920, 18940, 19994?\nAnswer: 21088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11 - -0.02. Let q = h - 0.1326. Round q to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9165508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5630?\nAnswer: 2, 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.7531l in millilitres?\nAnswer: 278753.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 6*l + 1. Let y = -23 - -32. Does 14 divide i(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 185061990 to the power of 1\/2, to the nearest integer?\nAnswer: 13604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from bbbbbbbbnbbbbbnbbbb.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -5. Suppose 2*s - x*s = 0. Suppose s*i + 33 = 3*i. Calculate the lowest common multiple of 8 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12551 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 69, 78, 91, 108, 129, 154?\n\"Answer: 2*m**2 + 3*m + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 1.1. Let t = -1 - k. Let f = 5.7 + -0.7. Which is the closest to t? (a) -2\/5 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598 is divided by 68.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -927 - -932. Let i(y) = -14*y**3 - 8*y**2 + 11*y + 5. Let z(q) = -9*q**3 - 5*q**2 + 7*q + 3. Determine a*i(f) - 8*z(f).\nAnswer: 2*f**3 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1336659 - -4?\nAnswer: 1336662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 10*i - 60. Let h(d) = 5*d + 3. Let u(a) = -3*a - 1. Let p(l) = 4*h(l) + 7*u(l). What are the prime factors of p(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/11 and 49\/45720?\nAnswer: 502920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j. Let c(z) = -2000*z**2 + 275*z - 275. Let m(y) = 29*y**2 - 4*y + 4. Let g(x) = 4*c(x) + 275*m(x). What is n(g(k))?\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3373*r*y**2 + 228*r*y - 2820*r - y + 125 wrt y?\nAnswer: -6746*r*y + 228*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*g**5 - 8*g**2 + 10*g**2 - 42*g**2 - 150*g**4 + 180*g**3.\nAnswer: 5*g**2*(g - 2)**2*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-873)\/(-252) - (-994)\/(-568). Let 2*p - f*p**2 - 2\/7*p**3 + 0 = 0. Calculate p.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1053) + -2.\nAnswer: -2 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1704*n + 1825*n + 2776*n - 1963*n.\nAnswer: 4342*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7254, 59038, 199588, 473286, 924514?\n\"Answer: 7397*t**3 + t**2 + 2*t - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5991 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + (-5 - -5 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 179946976, -3, 2\/7.\nAnswer: -3, 2\/7, 179946976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 14 = 2. Let c be 6 + ((-28)\/(-5))\/(-25*(-402)\/(-8375)). Suppose 2*j**g + 8\/3*j**3 + 0 - 2\/3*j**2 - c*j = 0. What is j?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of (-2)\/(-21) - 292782\/(-441)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 3657 = -33*y. What is the remainder when y is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6374672 decades?\nAnswer: 0.06374672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -973157 * -227\nAnswer: 220906639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*f + 18*f + 8 + 20*f wrt f.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05928 + -0.44072. Which is the third smallest value? (a) -2\/11 (b) 0.2 (c) u (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 36210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5*l + 45, 5 = -h - 3*l + 22. Let n be (2\/6 - 16\/(-6)) + h. Let q be 94399968\/n - 4\/(2\/(-2)). Round q to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2*(-3)\/(-4)). Let s = 6 + g. Suppose -s*t = 2*p - 86, 3*t + 0*p = -5*p + 47. What is the greatest common factor of 16 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 v when three letters picked without replacement from {l: 2, c: 1, n: 1, g: 1, v: 7, r: 2}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-18 - -19 - 13) + -4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13ab (base 13) to base 9.\nAnswer: -3811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 108220?\nAnswer: 108224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.09 (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**5\/30 - 2*w**4\/3 + 4*w**3 - 32*w**2\/3 + 125*w. What is s in q(s) = 0?\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 28 + 24 = -2*a + 4*h - 29, 3*a + h - 56 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 8*l - 42. Let x be d(12). Find the third derivative of -38*v**x - 32*v - 57*v**6 + 75*v**2 + 34*v - 6*v**6 + 82*v**2 wrt v.\nAnswer: -12120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 + 216*b**2 + 218*b - 21. Determine w(109).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -563, -1144, -1737, -2348, -2983, -3648, -4349, -5092?\nAnswer: -5883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -950638?\nAnswer: -950638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -20*y + 122. Let h = -21186 - -21193. Give q(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 11*r**2 - 955*r + 3005. Give x(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/126)\/((-22)\/9876). Let w = 75 - l. Put w, 1\/2, -73 in decreasing order.\nAnswer: 1\/2, w, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 1. Let p be 13\/78*18*-1. Calculate z(p).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 6098.\nAnswer: 1\/3049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11442, 27030, 42618, 58206, 73794, 89382?\n\"Answer: 15588*k - 4146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - j - 2*j)*((3 - 2 + 1)*(-j + j + 8*j) - 22*j - 102*j + 33*j + 6).\nAnswer: -150*j**2 + 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110031792.\nAnswer: 2, 69376987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*u - 719, -u + 2*d = -d - 135. Let j(g) = g**3 + 15*g**2 + 407*g + 6775. Let x be j(-16). Calculate the highest common divisor of u and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 195*z - 141 - 586*z + 177*z + 2*z**2 + 176*z as p*z + t + g*z**2 and give t.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -562?\nAnswer: 1\/562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 53*o**2 - 314*o + 46. Does 17 divide k(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 603*f + 3693. What is n(-6)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9416 and 3784.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2) + (-18)\/(-2). Let o = 21 - 19. Suppose o*l - 26 = 2*i + x, 0 = 3*l + i - 59. Calculate the remainder when l is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28899671 is divided by 1475.\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 15*q - 7. Let h be 5*(-2)\/(-8)*(-32)\/(-5). Let j be p(h). Solve -j - 2 = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 239826 = -239331 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8458?\nAnswer: 2, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 13*a = -12*a + 1, 14 = -h - 4*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/(-8))\/(-6*(-6)\/(-8)) and 1\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 + 1 - 71*r - 6.\nAnswer: -71*r - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h = 12. What is the highest common divisor of 48 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 355, -13, 92, 15 in ascending order.\nAnswer: -13, 15, 92, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0628256174 rounded to five dps?\nAnswer: -0.06283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 424925419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, 2, 13, 32, 59?\n\"Answer: 4*c**2 - 9*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2))*-4)**2 + 1.\nAnswer: 64*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 12211201202200?\nAnswer: 12211201202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/672)\/(14\/168)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -9) + 3 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000149504 to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*u = -87*u - 15*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 346143 and 52.7.\nAnswer: 18241736.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**3 - 11*j**3 + 13*j**3 - 4*j**3.\nAnswer: -27*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 8*d = -b + 15, 0 = -d + 2*b + 18. Solve -5*s + 9 = -d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuxuxuuu. Give prob of sequence uuuu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1031403 + 1?\nAnswer: 1031404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**5\/200 - j**4\/40 + j**2\/5 - 6*j + 1. Let g(k) be the first derivative of r(k). Let g(h) = 0. Calculate h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1533 or 122.48?\nAnswer: 122.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/9 and -101\/2830104.\nAnswer: 2830104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 2*g**2 - 5*g - 4. What is the remainder when h(3) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6778 = 4*m - 3*b, 6*b - 6764 = -4*m + 2*b. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68942*i**3*l**3 + 1167404*i**3*l*m**3 + 2*i**2*l*m**3 + 31*i*l**3*m**3 + 7*l**2 wrt l.\nAnswer: -413652*i**3 + 186*i*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12047 + -7346. Suppose 1026 = -15*o + z. Is o a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17108 - 17108 + y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5393*x - 3909913. What is t(725)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9*q**2 - 48*q + 10. Determine b(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 1299.\nAnswer: 14289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 16) to base 9\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16613, 16614, 16615, 16616, 16617, 16618?\n\"Answer: n + 16612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1187.82 litres?\nAnswer: 1187820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s + 2. Suppose 22 = -s*y - 2*f, 8*y + 52 = 3*y - 4*f. Let i(h) = -h**2 - 8*h + 10. What is the units digit of i(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtt when three letters picked without replacement from {t: 2, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(0 + sqrt(1300))*-5.\nAnswer: -150*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12319 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -880*l**2 - 5*l - 387. Let r(q) = -q**2 - q - 4. Let w(x) = -k(x) + 4*r(x). Find the second derivative of w(v) wrt v.\nAnswer: 1752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + 11 - (-479 + 477)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000214 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 3*y**2 - 3*y. Let r be x(-2). Let s be -1*(r + -1) + 23. Suppose o = 3*o - s. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.035 times -1.6\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1816497637?\nAnswer: 127, 14303131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 4*o**2 - 4*o - 7. Let z be f(5). What are the prime factors of 0 + (-6)\/(-15) + z\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12693*f + 64 = 12695*f. Solve f*z - 25*z = 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, j: 16}. Give prob of picking 2 d and 1 j.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-12)\/2)*(-23 - -17). Put t, -2, -5 in decreasing order.\nAnswer: t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(117\/18))\/(-18)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-1)\/(-2)*0. Let t be c\/1 - (-10 - -7). Suppose 0 = -3*h + 4*m - 2*m + 125, 4*h = t*m + 168. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 t when four letters picked without replacement from {t: 10, b: 2}.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1047, -1800, -3055, -4818, -7095, -9892, -13215, -17070?\nAnswer: -21463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkzkzkkkzz. What is prob of sequence zz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**3\/2 - 261*z. Let x(g) = 14*g**2 + 10. What is l(x(a))?\nAnswer: 42*a**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 666\/(-3367)*(-168)\/144.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1753547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 25632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -19, 2, -50, -4, 5 in decreasing order.\nAnswer: 5, 2, 0, -4, -19, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35911 is divided by 43?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 499477.9 micrograms?\nAnswer: 0.0004994779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**12*a*a**(-3\/2) assuming a is positive.\nAnswer: a**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 210967720871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 16, 256, 6 in descending order.\nAnswer: 256, 16, 6, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**4\/6 - 8*a**3\/9 - 4*a**2\/3 + 32*a\/3 + 127. Factor p(i).\nAnswer: 2*(i - 4)*(i - 2)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 12:27 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 0.2, 2\/5, 1835, 3\/2.\nAnswer: -4\/3, 0.2, 2\/5, 3\/2, 1835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 874847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-4 + -5)) + 6 + -1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) 6 (c) -0.4 (d) 87 (e) -26 (f) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.3, 3, 0, -12, -2\/47?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s**4 + 2806*s**3 + 21554*s**2 - s wrt s?\nAnswer: 72*s + 16836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/13, 0.1, 33404, 0.9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12998*f**3*q**2 + 1957*f**3*q - f**3 - 9*f**2*q**2 + 8*f*q + 5*f - 2 wrt q?\nAnswer: -25996*f**3 - 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 4*q - 9*q = n - 6*q - 2, q = -4*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 20*f + 13. Give d(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 5252.\nAnswer: 131300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8736 - -0.1264. Is 5502 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 72 = 4*c - p, -3*c - 5*p = -59. Solve 3*k + 2*k + c = 3*f, -5*k = 2*f + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114 + 224 - 127 - 2*k**3 + 2*k + 2*k**4 to the form q*k**3 + b*k**4 + u*k**2 + f + x*k and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.1, -1\/4, 3, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.598766ml to litres.\nAnswer: 0.001598766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49.22 - -49.2. Which is the biggest value? (a) -72 (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11106138*m**3 + 530*m + 847 wrt m.\nAnswer: -66636828*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - g**2 - 3*g + 4. Determine f(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 200269159989.\nAnswer: 200269159985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62.5116 - -30.534. Let w = 20 + -52. Let t = w - z. Round t to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + p. Let t(w) = -2*w. Let h(k) = -5*k. Let q(x) = x**2 - 2*x - 1. Let j be q(-2). Let i(z) = j*t(z) - 3*h(z). Give i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 542, 532, 520, 506, 490, 472?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*g + 4*i, 16 = -g - 9*i + 4*i. Suppose -3*y + g*y - 40 = 0. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 886, 847, 806, 763, 718, 671, 622?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z - 42. Let h be y(7). Find the third derivative of -2*r**2 - 133*r**5 + h*r**2 + 84*r**5 wrt r.\nAnswer: -2940*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 10\/40*(21 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13090*h + 13103*h - 26209*h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/17 + 440*h**4\/17 + 26714*h**3\/17 + 278404*h**2\/17 + 994240*h\/17 + 1081600\/17 = 0.\nAnswer: -104, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-238)*63)\/(3\/(-20)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*a - 116. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.095 (c) -3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 11 + 5\/2*n**2 + 2*n - 1\/3*n**3. Determine h(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + x**2 + 2*x**3)*(373 - 191 - 180 - 110*x).\nAnswer: -220*x**4 + 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - 3*l**5 - l**3 + (3*l**3 + 0*l**3 + 8*l**3)*(2*l**2 - l**2 - 3*l**2).\nAnswer: -25*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 551860 and 70?\nAnswer: 3863020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-21)))\/(w*(w**(-3\/2)*w)\/w*w*w)*(w*w\/w**8)\/((w**(-3\/8)*w)\/w*w))**(1\/19) assuming w is positive.\nAnswer: w**(-233\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/3 - 1. Let q(x) = -x**2 - 4*x - 4. Let k be (-52)\/14 + 6\/(-21). Let t be q(k). What is the closest to 0 in t, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(132) + sqrt(132) + 5*sqrt(132)*-2)*3)\/((sqrt(96)*2)\/sqrt(8) + (sqrt(12) - sqrt(60)\/(sqrt(35)\/sqrt(7)))).\nAnswer: -15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -11. Let l(p) = p**2 + 6*p - 8. Let o be l(-6). Let t be (6\/o)\/(12\/(-32)). Solve -5*z + t = -y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*b**2 - 560 + 11*b**3 + 27*b**2 - b**3 + 558 - 11*b**2 to the form u*b**2 + v*b + y*b**3 + f and give u.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + u + 2. Let c(b) = -10*b**2 - 567*b - 2125. Let d(y) = 6*a(y) - c(y). Find the first derivative of d(p) wrt p.\nAnswer: 8*p + 573","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, i: 7, q: 4}. What is prob of picking 2 y?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 10*a**2 + 5*a - 11. Let u(g) = 6*g**3 + 51*g**2 - 26*g + 54. Let p(i) = 11*l(i) + 2*u(i). What is the units digit of p(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 10. Let a(x) = -3*x - 15. Let g(j) = -1. Let l(d) = r*a(d) + 15*g(d). Let f(k) = -k. Calculate l(f(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 17. Let g be 4 - -10 - (o - 1). What is the units digit of 4\/g - (-8)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 216 - 213. Suppose 2*f - o*w = 9719, w - 8128 = 5*f - 32432. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y + 257106 + 119855 - 20726 = -4218*y for y.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -0.18 (c) 1\/3 (d) 1 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 2*t + t + 15, i - 2*t + 8 = 0. Suppose 3*x = 2*x - p - 18, i*x = -3*p - 38. Let z = x - -12. Put 3, 5, -2, z in decreasing order.\nAnswer: 5, 3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/1505 and -47\/16037280.\nAnswer: 16037280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 171139253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/40)\/(2\/4*((-17464)\/1475)\/(-74)).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73258 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15*2\/(-6)*3. Suppose -14*r - 4 = -p*r. Find the second derivative of 9*i**4 - 24*i**r - 67*i + 59*i wrt i.\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -280*j + 3505. Does 5 divide x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44064 and 180?\nAnswer: 220320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18257, 36633, 55009, 73385?\nAnswer: 91761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 17*j**3 + 9*j**2 - 7*j + 2. Give k(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 480288839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -51685.54056 rounded to 0 dps?\nAnswer: -51686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20986361 and 227034269?\nAnswer: 2497376959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-2 + (-3)\/(-2)). Let l(o) = 2 - 3*o**3 + o - 6*o**3 + 10*o**t + o**2 - 8. Determine l(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6590 = -5*u + 2*q + 220, 2*q = -u + 1350. Is 57 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94134.\nAnswer: 2, 3, 29, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*2*4 + sqrt(130)*-1*2)\/(sqrt(40)\/(-3*sqrt(64))))**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 12:51 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + u + 3)*((u**2 - u**2 + 2*u**4)*(3 - 3 + 2) - 4*u**3 - 2*u**4 + 4*u**3).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -204 + 206. Suppose 6*y + p*y = 3584. Calculate the greatest common divisor of y and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 11*n = -6*n + 25, -n - 26 = 5*y. Sort 0.007, 4, y in ascending order.\nAnswer: y, 0.007, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27*(24\/18 + (0 - 1)). Let g(h) = -3*h + 30. Let w be g(d). Find z such that 4\/9 + 4\/9*z - 4\/9*z**2 - 4\/9*z**w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01051*0.056\nAnswer: -0.00058856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7247*f - 66055 = 1242*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 31*n**2 + 2*n - 2. Suppose -2*b + 9 = -o, -5*b - 2 + 5 = 4*o. Let d be s(b). Let u = d + -496. Round u to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5550 divided by 15\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 - 16744064*l\/11 - 35045459904512\/11.\nAnswer: -2*(l + 4186016)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*r + 91 = -103*r - 2*b, -63 = 3*r - 3*b for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + 3*(sqrt(91) + sqrt(91) + 3*sqrt(91) + sqrt(91)))\/(sqrt(21)\/(sqrt(9)\/sqrt(3))).\nAnswer: 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62, 295, 1182, 3125, 6526?\n\"Answer: 67*o**3 - 75*o**2 - 11*o + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*z + 2*v, 3*v = 5*z - 4. Let k(l) be the second derivative of 23*l**5\/10 + l**4\/12 + l**2\/2 - 4*l. Is k(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 831588 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:13 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3000*i - 199. Is n(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -34*r - 2. Let d(q) = -58*q - 2. Calculate y(d(o)).\nAnswer: 1972*o + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 0 - 12 + b + 7 + 3. Let w(q) = 6*q - 11. Determine -22*p(v) + 4*w(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42.966 + 43. Let o = -21.966 - q. Let m = -22.0039 - o. What is m rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.233 + -1.833. Which is the fourth smallest value? (a) 2 (b) 5 (c) y (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 26 = -2*y - 1, -30 = -5*y + k. What is the remainder when y is divided by (-52)\/(-12) + (-1)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j - 22. Let z be r(-12). Factor -u**3 - 9*u**z + 25*u**2 + 68 - 68.\nAnswer: -u**2*(u - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 13.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 1:47 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48360 smaller than 2\/1927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, u: 2, l: 4, f: 1, q: 1}. What is prob of sequence lumu?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 158475 + -1562?\nAnswer: 156913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -104, 7 in increasing order.\nAnswer: -104, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 32*o - 350. Let k be g(11). Suppose 0*h = 4*h + 8. Let n = k + h. Solve 0 = -r - 5*w, n*w + 4 = -r - w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 7:59 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -25, -74, -163, -304, -509, -790?\nAnswer: -1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6*o)\/o**(-2\/5))\/(o*o*(o*o*(o\/((o**42\/o)\/o))\/o*o)\/o*o**(-4\/23)) assuming o is positive.\nAnswer: o**(5011\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12177769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 492 and 5.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -4*i + 5*v, 0 = 2*i + 3*i - v - 297. What is the remainder when i is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45\/6 + 2\/4. Let n be (-6)\/27 + (p\/36 - 1). What is the tens digit of 6 + n - (-82)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/(-108))\/(-10 + 2). Let j = 95\/48 + u. Calculate the common denominator of j and (-42)\/208 - -4*(-3)\/(-12).\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90396 = 275*j - 1571*j - 378*j for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*s = 8, 1120*c + s - 4 = 1118*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5712575)\/(-300) + (-1)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4*f + 20 = 0, -5*w + 7*f = 4*f + 17 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/7))**(-34) assuming r is positive.\nAnswer: r**(-170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -319 + 323. Let t(c) = -4*c + 1. Let g be t(-1). Let s be (7 + -14 + 5)*3\/(-2). Solve -s*f = -k - g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -18 (c) -2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(10)*2*-5)\/(sqrt(605)*1 + sqrt(605) - sqrt(605)))**2.\nAnswer: 20*sqrt(2)\/11 + 321\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 8*f**2 - 9*f - 3. Let x(k) = 21*k - 3*k + 47*k + 2*k**2 - 18*k + 37*k + 169. Let b be x(-40). What is g(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 1246*q + 299104. Determine n(206).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 2\/41, 142, -0.2.\nAnswer: -56, -0.2, 2\/41, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 52, -2\/3, -5, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d - 67*d**2 + d**3 + 43*d**2 + 2 + 26*d**2. Calculate p(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -274914*f**3 - 5*f + 2424477 wrt f?\nAnswer: -824742*f**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 282 - 71. Let p = x + -211.5. Let q = -15.8 - 3.2. What is the fourth biggest value in p, q, -3, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1254*u + 22110 = -13002 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + q + 18. Calculate the least common multiple of 34 and v(0).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/3696 and 26\/399?\nAnswer: 70224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 5*s + 3*s)*((-9*s - 8*s + 7*s)*(3*s**2 - 3*s**2 - 2*s**3) - 5*s**4 + 68*s - 68*s - 7*s**4 - 43*s + 43*s).\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19583634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -174.8452 - -174.89. Round d to three decimal places.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9066*(-195)\/(-90) + 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128557148*f**2 + 9295954*f?\nAnswer: 257114296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 6*z**2 + 7*z + 7. Let u be f(7). Suppose 2*d = u*d - 105. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgexlql. Give prob of picking 1 r and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 4:13 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(((-12)\/(-40) + (-10)\/(-50))\/((-3)\/6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 9, l: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 743838 * -2.6\nAnswer: -1933978.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1253.9995112 + -1254. What is g rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -0.2838?\nAnswer: 11.7162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.79 - 0.21. What is the third smallest value in -2\/11, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 177*l**2 + 4*l + 1338. What is b(177)?\nAnswer: 2046","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63040415?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*m**2*z - 2*l*z**2 - 10*l - 2*m**3*z + m*z**2 + 7 wrt m.\nAnswer: 4*l*m*z - 6*m**2*z + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-7)*7*22\/(-231).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1 + m + 0 + 3 - 2. Suppose 3*v - 5 = -n - 22, -v = -n + 3. Let x(j) = -2*j - 2. Give v*q(g) - 4*x(g).\nAnswer: 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**7\/280 - l**5\/120 + l**3\/3 - 2. Let a(b) be the third derivative of c(b). What is the second derivative of a(i) wrt i?\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b*b*b**(-5)*b**(-5)*b**1\/b)\/((b*b**(-3\/8)*b*b**(-2))\/((b\/(b\/b**(-1)))\/b*b)**37) assuming b is positive.\nAnswer: b**(-333\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3)*n*n*n*n**(-1\/21) assuming n is positive.\nAnswer: n**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1431351 (base 6) to base 12.\nAnswer: 3b557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3097 is divided by 427?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 7:05 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5224.4 + 5101.468. Let p = -123 - b. Let a = -0.168 - p. What is the fourth biggest value in a, 4\/7, -3\/2, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 6*p**2 - 5*p - 5. Let c be j(7). Let o(r) = r - 3 + r - 10. What is the units digit of o(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30111.78 years in centuries?\nAnswer: 301.1178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4 - 5*m + 3*m + 2. Suppose -43 = -4*d - 99. What are the prime factors of z(d)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 30 = -11*o - 5*n, -4*n = 2*o - 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + 62*k**2 + 915*k + 23146. What is u(-29)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 - 8 + 30 + 13*d - 2*d + 2 - 2 + (9 - 3 - 2)*(3 + d - 3).\nAnswer: 15*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -4 (c) -3\/2 (d) 0.8 (e) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 + 240*l**2 - 12*l - 637. Determine d(-120).\nAnswer: 803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83659*g + 83661*g - 2 + 2.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13233 - -5?\nAnswer: -13224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -467*b - 13. Let j be c(-4). Suppose -5*p = 2040 + j. Let o = 956 - p. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -8. Suppose y*o - c = -2, -4*o = -2*o + 2*c + 8. Let h(t) = t + 4. Let n(w) be the second derivative of w**2\/2 - 38*w. Calculate o*h(v) + 6*n(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 619 + 136. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -984 - -986. Solve -1\/2*j**v + 0 + j = 0 for j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(77)*-2 + -3*(sqrt(77) + -1*sqrt(77) - sqrt(77)) + (sqrt(77) - -2*sqrt(77)*-1))\/((-5*sqrt(378))\/(sqrt(150)*-1)).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 80 + 14. What are the prime factors of a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3 - 84*v**2 - 900*v - 2592 = 0. Calculate v.\nAnswer: -72, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 + 165*i. Let w(g) = -g**2 + 55*g. What is 3*c(f) - 8*w(f)?\nAnswer: 2*f**2 + 55*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 8595603 and 8595604 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -35, -43, -37, -11, 41, 125?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -11*z - 4. Suppose 6*w = 3*w - 15. Let l(r) = 10*r + 3. Let u(k) = k**2 + 8*k + 8. Let v be u(-6). Let t(a) = v*n(a) + w*l(a). What is t(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200227019.\nAnswer: 191, 1048309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {p: 1, a: 2, d: 4, t: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*w + 20, b = -w + 4*b - 2. Let o be ((-20)\/6)\/(-5)*-12. Let a = w - o. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r + 1. Let x(d) = 6*d + 1. Let b = -205 - -198. What is b*x(u) + 6*o(u)?\nAnswer: -6*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 19*b - 63. Calculate w(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183506.\nAnswer: 2, 91753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 127021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5 - -2. Let f be ((-6)\/(-7))\/3 + 18\/35. What is the second smallest value in f, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*0.1.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-17))\/(165\/255*(-2)\/(-11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express x + x - 3*x + (2 - 1 - 4)*(-x - 5*x + 4*x) in the form o*x + p and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1110 and 9373200.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:57 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8)\/(x\/(x\/x**6)))\/(x**(-2)*x*x*x**(5\/2)\/x))**(-3\/13) assuming x is positive.\nAnswer: x**(93\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 3*d**4\/2 + d**3 + 5*d**2\/2 - 67*d. Let s be k(-1). Solve -20*g - 15 = -s*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxzxxxxxxzazz. Give prob of sequence axzz.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 15*d + 30 = -4*p, -4*p - 12 = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146223600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6944550618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, g: 1, t: 1, k: 1, m: 1}. What is prob of sequence ktgw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2899 divided by 2.\nAnswer: -2899\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - w + 17 - 15, 4*s + 4 = 2*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/5, 12, -3\/7, 39, -15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30*6\/(-4305))\/(322\/1127).\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -0.2. Let c = n + -0.3. Let b be 2\/(-11) + (-92)\/(-506). What is the closest to b in c, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + g**2 + 1. Let i(s) be the first derivative of s**4\/2 + s**3\/3 - s**2 - 7*s + 45. Let y(f) = -i(f) - 3*o(f). What is y(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69962 is divided by 42.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -36*g**2. Let t(c) = -2*c**2 + 4*c + 4. Let i(u) = u + 1. Suppose 93*v + 1 = 92*v. Let f(j) = v*t(j) + 4*i(j). What is f(o(r))?\nAnswer: 2592*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(((-66)\/27)\/(59\/(-708)*(-6)\/15))\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + l**2 + 2*l - 1. Let t(c) = -55*c**3 + 6*c**2 + 12*c + 85. Let j = -456 + 455. Let s(r) = j*t(r) + 6*g(r). Differentiate s(u) wrt u.\nAnswer: 183*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 328351842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i + 5. Let o be b(-3). Let j be o*((-9)\/6)\/1. Suppose g - j*g + 220 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/194 and 57\/4?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l**3 - l**2 - 5*l + 8. Let w be p(2). Suppose -66 = w*u - 77*u. Calculate the lowest common multiple of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3 + 19*i - 15*i - i**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/950255 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 445 or 0?\nAnswer: 445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 5*z + 109, 3*q - 4*z - 219 = 13. Let o(t) = 4*t**2 - 37*t. What is the lowest common multiple of q and o(12)?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 96480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2283?\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -22\/803609 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 11\/3. Factor -r*t**2 + 0*t + 0 + 1\/3*t**3.\nAnswer: t**2*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 96, 182, 268, 354, 440?\n\"Answer: 86*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 11*h + 24 = 0. Sort 7, -5, h.\nAnswer: h, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from qbzqz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - ((5 + -8)\/(-1) - 6). Solve 2 = i + p, 0*i = -i - v*p - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -10 - 105*k**2 - 1 + 104*k**2 + 0 - 10*k. Give w(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9121 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4058*q**5 + 2951*q**2 + 3*q - 6. Let f(b) = -8115*b**5 + 5902*b**2 + 5*b - 10. Let a(u) = -3*f(u) + 5*v(u). Find the third derivative of a(c) wrt c.\nAnswer: 243300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4272 < 4273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/10, -0.4, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25.7 or 2\/23?\nAnswer: 25.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 69*d - 1398. Let f be v(23). What is the greatest common divisor of 1197 and f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = -3*a + 2*a, -5*a = -3*q. Solve -q*i - 14 = 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -1 (c) -0.14 (d) 5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 6*i + 3. Let f(u) = -2*u - 65. Let h(j) = -j - 22. Let x(g) = 6*f(g) - 17*h(g). Let n be x(4). Let z be (n\/(-5))\/(16\/120). What is a(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8553 + -8545. Calculate the lowest common multiple of 594 and d.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 3:02 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (30\/60)\/(4\/24096).\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (170\/32)\/((12285\/(-156))\/(-63))?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(171) + (sqrt(19) - -2*sqrt(304) - (0 + sqrt(1216)))**2.\nAnswer: 3*sqrt(19) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**3\/3 + 13*y**2\/2 + 36*y + 13. Let v be r(15). Let c(w) = -w + 20. Calculate the remainder when 39 is divided by c(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y - 112. Let t(r) = 10*r - 504. Let o(k) = 2*t(k) - 9*w(k). Let j(c) = c - 5. Let a be j(4). Give o(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23707?\nAnswer: 151, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 16730416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1465788, 1465768, 1465748?\n\"Answer: -20*s + 1465808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/8, 0.9, -0.2, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s**2 + 18*s**2 + 0*s**3 - 3*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20b9 + 4?\nAnswer: -20b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 777 - 453. Suppose 3*o = 9, 2*w - 4*o = 4*w - x. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468050582 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Sort -5, i, 1.\nAnswer: -5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from {l: 4, d: 9, u: 1}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 + 2311425?\nAnswer: 2311502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/3, 2\/3, -2 in descending order.\nAnswer: 2\/3, 1\/3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(-2) - 3)*10. Solve 4*o + 8 = -f, -3*f + 3*o = -f + r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 11:33 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3331, 25697, 86439, 204745, 399803, 690801?\nAnswer: 1096927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 13. Suppose 2*u + w*u = 7*u. Solve u*g = -2*g + v, 2 = 4*g - v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1314146*w**2 + 2362713*w.\nAnswer: 2628292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*o + 15*o + 33*o - 114*o + 24*o + 21*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/19)*g\/(g*g**(-5)*g*g)*g**(-6)\/g**(-2\/11))**(-25) assuming g is positive.\nAnswer: g**(14175\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -25205 (base 7) to base 14\nAnswer: -25ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**2*w**2 + 9*p**2 + 10*p*w**2 - 7*w wrt p?\nAnswer: 4*w**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 2*f + 5. Let l be v(-4). Is 115\/(1 + l + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -0.0284992.\nAnswer: 0.00142496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -10*m + 2. Let w(j) = -23*j**2 - 12852. What is k(w(z))?\nAnswer: 230*z**2 + 128522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 8 = 26*h. Suppose 3*o = -4*l + 14, h*o + 7*l - 14 = 4*l. Let u(n) = -2*n - 5. What is the remainder when u(-4) is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*o - 84727 - 7100. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*b - 15. Let z be 10\/(-3)*(-6)\/b. List the prime factors of -2*(110\/z)\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(144)\/sqrt(4)*-4)\/sqrt(12))**2 + (4 + (sqrt(3) - (1 + (sqrt(3) - sqrt(243)))))*1.\nAnswer: 67 + 41*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6401.956 - 12917824.044. Let r = c + 12924176.999955. Let g = r + 49. What is g rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 16. Give c(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*z + 5525 = -64*z. Calculate the highest common factor of z and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -9*m**3 + m**2 - 8*m - 6. What is the hundreds digit of r(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 0 - 8 = j, -2*j = 5*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 11:33 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 406018 and 12?\nAnswer: 2436108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 1}. What is prob of picking 1 a and 1 u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 9:46 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23068 is divided by 107?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3731 and 728.\nAnswer: 29848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 + 5*y - 4. Let f = 10 - -85. Let r be (-2)\/8 + f\/(-20). Let g(h) = -3*h**2 + 9*h - 7. Let p(o) = r*q(o) + 3*g(o). Give p(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 10*t - 1. Let i be p(-9). Let n(s) be the second derivative of s**4\/12 - 2*s**3 - 25*s**2\/2 + 3*s - 111. Does 39 divide n(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 438 and 15234.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001007143 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - 0. Let c = 41 + -28. Let a = c + d. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272137.8ng to kilograms.\nAnswer: 0.0000002721378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 20 = -0*v. Let r(i) = 4*i**3 - i - 6*i + v*i**2 + i**2 + 3. Let m = 431 - 435. Let y(d) = -3*d**3 - 4*d**2 + 6*d - 2. Give m*r(n) - 5*y(n).\nAnswer: -n**3 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**6\/120 + 2*g**5\/15 - 3*g**4\/8 + 3*g**3\/2 - g**2. Suppose 0 = -2*x + 4*o + 38, -455*o + 79 = -x - 460*o. What is z(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (sqrt(117) - (sqrt(117) + (4*sqrt(117) + sqrt(117))*4)))\/(sqrt(72)\/(6*sqrt(8) + sqrt(8) - sqrt(8))))**2.\nAnswer: 168948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5 + 3*z**4 - 486*z**3 - 2208*z**2 + 2688*z = 0. What is z?\nAnswer: -8, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*o - 2*x + 315, -5*o - 4*x + 317 = 0. Let y be (104\/o)\/(4\/50). Let f be (2\/4)\/(y\/(-47200)). Round f to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 - 0. Let l = j - -0.5. Let p = 1.4 + l. Put -0.4, p, 5 in descending order.\nAnswer: 5, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1048 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*c = 3975 - 1311 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from iiiiiiiiccciiiiiiici?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + -9. Let c = a - -38. Is c less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Suppose -5*i - 2*p = -43499992, 0*i - 26100020 = -3*i + g*p. What is i rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7288 divided by 4.\nAnswer: -1822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 713 divide 160004685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1651203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k + 1 - 2*k + 0. Let m(q) = -q**3 - 9*q**2 - 9*q - 6. Let u be m(-8). Let p(x) = -x**2 - 3*x - 2. Give u*p(a) + 3*z(a).\nAnswer: -2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3362, -6327, -9278, -12209, -15114, -17987?\n\"Answer: o**3 + o**2 - 2975*o - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-12 + (1 - 0 - 3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -533 + 553. What is the least common multiple of j and 52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 19 + 0*w**2 - w**2 - w**3 - 20. Let i = -2 - -3. Let b(c) = 7*c**3 + 6*c**2 + 6. Determine i*b(f) + 6*y(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -264494, -264489, -264484?\n\"Answer: 5*p - 264499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*s - 5*l + 3, -2*s - 2*l + 2 = 0. Solve s*p = 2*g - 3*p, 0 = 2*g - p + 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 p when three letters picked without replacement from mmpmppppmrmmmmmmm?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7308955 (base 10) to base 2.\nAnswer: 11011111000011010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633a1 (base 15) in base 2?\nAnswer: 100000110001110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Suppose d = -y + 62, s*y = y + 5*d + 110. What is the highest common divisor of y and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397586554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*(-204)\/(-34). Let i be (-1)\/(p\/(-24)*8). Which is bigger: -1\/972 or i?\nAnswer: -1\/972","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 47*m + 14 = -130 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, d: 2, l: 1, a: 2, y: 1}. Give prob of sequence la.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12846173 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 6. Suppose s*o + 0*o = -9. Let v(h) = 2*h + 3. Let g(d) = 5*d + 5. Let a(m) = o*g(m) + 5*v(m). Let n(u) = 6*u. Determine n(a(q)).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129808*k**3 + 65691*k**3 + 64114*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.37 in -0.15, -0.04, -2353?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z - 2. Let d be w(4). Let q be (12\/5)\/(252\/(-840)) + 450. Calculate the greatest common factor of d and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*b + 32060 = 0. Let x = 62060 - b. Round x to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 4. Suppose 0 = 5*t - 297 - 3. What is the remainder when t is divided by (-3 + 72\/3)*m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(-4))*k*k*k\/(k*k*k*k**(6\/5)*k))\/(k**3*k*(k\/(k\/(k*k**4*k)))\/k)*(k**(3\/4)*k**(-2\/3)*k)\/(k\/((k*k**(-2\/3))\/k*k))**(-8) assuming k is positive.\nAnswer: k**(-107\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 39 + 442*w - 449*w - 75.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -42. Let y be 2\/(-3) - (-42)\/9. Suppose 0*a + a - 2 = 0. Solve u = -a*v + y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96368000 rounded to the nearest 1000000?\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j + 17. Let b(h) = 6*h - 34. Let d(m) = -4*b(m) - 9*u(m). Let n be d(5). Let k = 5 + n. Solve 3*p = -4*f + 14, -k*f = 2*p - p - 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2 + 13*g + 6. Let y be n(-10). Let f = y - 121. Let d = 442 - f. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 v, and 1 x when four letters picked without replacement from {v: 5, x: 8, d: 2, z: 1, e: 2, p: 2}.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3541.\nAnswer: 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15 + 1*1184\/(-80). Suppose -z*s**3 + s + 1\/5*s**2 + 3\/5 = 0. Calculate s.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167798488?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -52671 in -2, -12, 0.39?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -443, -585, -509, -215, 297, 1027?\n\"Answer: 109*z**2 - 469*z - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -4*l + 5*j - 34, 0 = -4*l - 3*j - 30. Which is smaller: l or 9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -93*u + 60*u + 231 + 30*u + (-3 + 5 - 3)*(2*u - 2*u + 2*u).\nAnswer: -5*u + 231","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/10 - s**4 - 7*s**3\/10 + 98*s**2\/5.\nAnswer: s**2*(s - 7)**2*(s + 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**3 + 2*y - 7. What are the prime factors of v(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/2, 3\/35 in ascending order.\nAnswer: 3\/35, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 9:52 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2 - 2)*(0*d**2 - 3*d**2 - 2*d**2) + 2*d**3 + 2*d**3 - 5*d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4 + 8. Let y be n*(315\/(-12) + 3). Let o = y + -66. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2963 in -4, -2, -3, 274?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 73*m*p - 12259*m + 332*p + 2 wrt p?\nAnswer: 73*m + 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(-1)*b)**(5\/7)*((b*b*(b**(-4)*b)\/b*b*b)\/b)**(-13\/2) assuming b is positive.\nAnswer: b**(131\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105 + 192. List the prime factors of h.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**21\/(l*l*((l\/(l**(-1\/51)*l)*l)\/l)\/l*l))\/(((l\/(l*l\/(l\/(l\/(l\/l**28*l)))*l)*l*l)\/l)\/(l*l**(-2\/5)*l*l)) assuming l is positive.\nAnswer: l**(12388\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 946 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 5:32 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4654 - 102365\/22. What is the common denominator of m and -85\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from kkfrsktrmrfk?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 6*d**2 - d - 3. Calculate q(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*d - 2*d. Let q(u) = u**2 + 2*u - 3. Let f be q(-3). Let r be -17600*(875\/d + f). Round r to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**6\/90 + 7*k**5\/60 + 5*k**4\/4 - 7*k**3\/18 - 22*k**2\/3 - 1878*k. Solve q(a) = 0.\nAnswer: -4, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esexmmmxm. What is prob of sequence exs?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 349 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from cccoccccoo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*a + 10 = 78*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.97 + 5. Let d = b + 1.97. Let a = 1103\/5 - 221. What is the smallest value in a, d, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 - 2*c + 13. Determine y(6).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**5 - 40015*u**4 + 80120015*u**3 - 240120005*u**2 + 240040000*u - 80000000 = 0. What is u?\nAnswer: 1, 4000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 845 = 7*n - 3*n - 5*k, -2*n + 2*k = -422. Suppose f + f = -n. Round f to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t = -778. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/3)*o)**(-2\/9)\/(o\/o**1*o)**(-1))**(-47) assuming o is positive.\nAnswer: o**(-799\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*j**2 - 5*j**4 - 5*j**4 - 8*j**5 + 7*j - 3*j**4 - 17*j**4 + 22*j**2 wrt j.\nAnswer: -480*j**2 - 720*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*23466\nAnswer: -117330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 22130 - 22138 = 4*k, -3*k - 6 = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - ((-10 - -13 - -15) + -12) - -2?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -68.15 and 387.\nAnswer: 318.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -23. Suppose 6*v - 15470364 - 46929636 = j. What is v rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5118 divided by 2.\nAnswer: 2559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-12)*12*(11 + -1). Let d = -65 - l. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2353 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 411644.22529 - 0.02.\nAnswer: 411644.20529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - -0.5. Let s = 5 - 5. Let y = s + 0.1. Put v, y, -2\/9 in descending order.\nAnswer: y, -2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 11*w**2 - 12*w + 6. Let s be p(12). Suppose u - s*u = -15. Solve -2 = u*l - 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*b - 68*b - 3432 - 3733 + 1070 = 0 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9246 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 9. Let w be d(-7). Let t be w - -4 - 42\/2. Let p = t - -34. What is the greatest common divisor of p and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13660 + -13655. Sort 0, -28, m, 1.\nAnswer: -28, 0, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 11062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 8*m - 6. Let i be d(-6). Let s = i - -3. Suppose -2*o - 3*k = -61, o - 11 = 6*k - k. Calculate the remainder when o is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wiw when three letters picked without replacement from {i: 2, n: 1, r: 2, w: 10, j: 3, a: 2}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-12 + -61)*2*1065\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -87. Let c = -85 - v. Let k = -39 - c. Solve -21 = -k*g - 3*r, 2*g - 8 = 3*g - 2*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o + 3. Let m be i(4). What is the units digit of (-4 - 0) + m + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 9*f + 140 = 15*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-5)\/((-30)\/28). Suppose -4 = -m + s. Is (4\/3 - 1)*m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3 + 9 - 2 + 5*m**2 - m**2. Let w(x) = -x**3 + 7*x**2 + 7. Give -7*d(h) + 4*w(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170.4 - 170.3. Which is smaller: d or 0.016?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*k**3 + 2*k + 2 - 1 - 1209*k**2 + 1209*k**2 as r*k**3 + c*k + t + l*k**2 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1688091 is divided by 5024.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 6*z**2 + 5*z - 6. Let m be q(-7). Let g be m\/10 - 1 - 1394\/(-170). What is the units digit of (-805)\/(-4) + (-2)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90681.98 millilitres in litres?\nAnswer: 90.68198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 7*n + 5. Let h(y) = 2*y - 3 + 2*y**3 - 5*y**3 + 0*y**3. Let u be h(1). What is s(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 10*d**2 + 2*d - 26. Let x be f(10). Let b be 10\/(-2) + 0 + 0. Let i = x - b. Are i and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34392265?\nAnswer: 5, 6878453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -29*d**3 + 13*d**2 + 37*d + 3. Let a(q) = 38*q**3 - 18*q**2 - 50*q - 4. What is 8*a(y) + 11*p(y)?\nAnswer: -15*y**3 - y**2 + 7*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/22, -2\/3, 1, 5\/4, 5 in descending order.\nAnswer: 5, 5\/4, 1, 1\/22, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 104\/13 + (-1 + 0 - 2). Suppose -2*o + 8 = -z*t + 8*t, t + 5*o + 19 = 0. Let j be (-160)\/(-88) + t\/33. Solve 0 = -x - d + j, d = 5*x + 6 + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*t - 25*t - 225 + 173 - 21*t - 25*t.\nAnswer: -135*t - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(6)\/(sqrt(3)*3).\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30488 = -31*l + 4480. Does l = 1130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3195 - -92653\/29. Put -1, -2, 1\/7, h, -4\/3 in decreasing order.\nAnswer: 1\/7, h, -1, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 14*n**2 + 118*n - 12. Let k be v(-6). Solve -490*s + 493*s = g - 25, k = 5*s + 35 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwo when three letters picked without replacement from {w: 5, g: 7, o: 1}?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 267*f**2*p**3*q + 46*f**2*p + 137*p**5*q + 3*p**2*q + 2*p**2 - 19*p*q wrt p.\nAnswer: 1602*f**2*q + 8220*p**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 15. What is the remainder when 42 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -4 + 0*o**4 - 1\/300*o**6 + 19\/150*o**5 + 0*o + 0*o**3 + 31*o**2. Factor i(t).\nAnswer: -2*t**2*(t - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -0.2 (b) 0.1 (c) -641 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/566, -62, 2\/5?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58cd (base 15) in base 16?\nAnswer: 49b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-16))\/((-6)\/8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3302, 13006, 29178, 51818?\n\"Answer: 3234*u**2 + 2*u + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4303885 is divided by 30308.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*o = 3*x + 3, -o = -3*x + 5. Let f(h) = 14*h**3 - h**2 + h. What is the units digit of f(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-3))\/(-4))\/((-2)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hggl when four letters picked without replacement from {h: 2, w: 1, y: 4, g: 1, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x + 2168. Let n(m) = m - 5. Determine -j(u) + 3*n(u).\nAnswer: -u - 2183","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-4 - -1 - -9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81.03 - 81. Let a = -0.02 + 0. Let u = a - g. Round u to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 11*r - 20. Let w be z(7). What is the derivative of 8919*a + w*a**2 - 28 - 8919*a wrt a?\nAnswer: 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*s - 16. Let w be -1*(s\/2 + -2). Suppose 0 = -w*d + 2*d - 24. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 34812351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -4015 - -4015.2. What is the second smallest value in f, -0.2, -189?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.9 + 4.9. Let k = r + 6. Which is the closest to 0.4? (a) 4 (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**3 - 2112*j**2 - 5747188*j + 5749296 = 0.\nAnswer: -964, 1, 1491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 597902242 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 2, o: 1, s: 1, p: 1, z: 1}. Give prob of sequence sk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-4 + -20 + 12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 + 4 + 13*q.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 12*m - 6*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**5\/30 - 17*q**4\/24 + 29*q**3\/6 - 2*q**2 - 131. What is l(9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 2. Calculate i(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r**3 - r**2. What is o(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34800*-0.002.\nAnswer: 69.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6 + (30\/9 - 5).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + t + 1. Let n(p) = 3*p**2 - 8*p + 5. Suppose 5*f = 10, 5*i + 39*f - 37*f = -16. Calculate i*s(g) + n(g).\nAnswer: -g**2 - 12*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54504972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p + 4. Let b be x(-7). Let t(a) = a + 16. Let y be t(b). Solve 2*m + 2*z - 13 = -3*z, 3*m + y = z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4 = 11. Let b be 3 - (g\/(-2))\/(-1). Suppose b*a**2 - 1\/2*a**3 + 1\/2*a - 1\/2 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*b + 41986 + 22205 = 1029*b - 19677 for b.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 1421868 - 1421868.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w + 3*w = -17*w + 3*w. Factor w + 1\/5*p**2 - 4\/5*p.\nAnswer: p*(p - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/2 and 20\/727?\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 4*q - 3. Let b be k(1). Suppose b = 4*l - 2*f - 42, -2*f + 24 = 2*l - 0*f. What is the highest common divisor of 154 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/23 in -658, -2, 71, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -4, -537, -33, 1\/3 in ascending order.\nAnswer: -537, -33, -4, -0.05, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 68 = 4*s, 5*s - b = -2*b + 61. Let p(z) = z**2 + 2*z + 14. Let r be p(-2). Is r <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6772.699 millimeters to kilometers.\nAnswer: 0.006772699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/10)*(k**(-9)*k)\/k)\/(k\/(k*k\/(k*(k*k*(k*k*k**(1\/2))\/k)\/k)*k)*k*k**(-1\/12)) assuming k is positive.\nAnswer: k**(-667\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(8)\/(2*sqrt(4)) + 2.\nAnswer: 2 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f - 108. Suppose 0 = 5*x - 3 - 12. Suppose f = -x*w + 5*w. What is the highest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + s**2 + 0)*(4*s**2 + 6*s**2 + 0*s**2) + 2*s**4 - 3*s**4 + 0*s**4 + (0*s**4 - 2*s**4 + 3*s**4)*(2 - 5 + 5) - 3*s**4 + 2*s**4 + 3*s**4.\nAnswer: 13*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 2*a - 47015, -5*q + 4*q + 2*a + 9391 = 0. Suppose -68*g + q = -61*g. List the prime factors of g.\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - b = -5*h + 14, -h - 7 = 2*b. Let s be 4\/h*(-117)\/(-26). Solve s*m - 2 = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15508 (b) -0.01 (c) 2 (d) -2\/7 (e) -0.2 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*l**3 + 672*l**2 + 32*l**3 - 672*l**2.\nAnswer: 136*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.16 + -0.14. Let w = x - -0.2. Let g = 4 + -7. Which is the third biggest value? (a) w (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 122006 or 2?\nAnswer: 122006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33834004*f**2*v**2 - 11*f*v**2 + 269*f - 10*v**2 + 25 wrt f?\nAnswer: 67668008*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -3\/11, -0.5, 19, -27.516.\nAnswer: -27.516, -0.5, -3\/11, 1, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 796*o**2 + 2381*o + 1586.\nAnswer: (o + 1)*(o + 2)*(o + 793)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1178 and 45599791?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -57, 3.8, 2\/13?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -5, -113, -4 in descending order.\nAnswer: 5, 2, -4, -5, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e22 (base 16) to base 9.\nAnswer: 11521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1554190.\nAnswer: 2, 5, 11, 71, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*n - 46 = 0, n + 689 = 4*u + 690 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyz when three letters picked without replacement from {y: 5, x: 6, v: 1, z: 2, m: 2, p: 3}.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**5)\/j)\/(j**4*j))**(3\/4))**30 assuming j is positive.\nAnswer: j**(-225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25214 is divided by 679?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 50\/6*7*2\/(-70)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/5)\/z**6*(z**(1\/3))**(3\/10)*(z**1\/z)**4*(z\/(z\/z**(-1)*z*z))**(-29) assuming z is positive.\nAnswer: z**(161\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276*-494.\nAnswer: -136344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 6 + 14. Let s(c) = -c + 3. Let r be s(3). Suppose f = -2*f + p*m + 19, r = 5*f - 2*m - 57. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2427854442 and 0.025.\nAnswer: -2427854441.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Let g = -58.016 - -0.016. Let j = g - -55. Which is bigger: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*s = -35*s + 4*m - 5, 0 = -4*s - 3*m + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(0 - (-6)\/(-333)))\/(51 + (-10230)\/198).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dinxa. Give prob of sequence ida.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53 - n**2 - 13 - 13 + 82*n**3 + 22 with respect to n.\nAnswer: 246*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 7*s - 1. Let j(h) = 4350*h + 1. What is j(i(y))?\nAnswer: 4350*y**2 - 30450*y - 4349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.3 (c) 2\/11 (d) 1 (e) -20\/9 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -12. Let d be (14\/(-1))\/n - 3. Suppose -d*s + 5*s = 14. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-84)*52)\/(6\/42)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**4 + 5190*a**3 + 25640040*a**2 + 51264490*a + 25629645 = 0 for a.\nAnswer: -1803, -1, 2843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 10:28 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 128, 121, 110, 95, 76, 53?\n\"Answer: -2*h**2 - h + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12371083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odp when three letters picked without replacement from dpowo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + 0 + 1.\nAnswer: 1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - 269 + 98. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -4)*(-3 - 0). Find the first derivative of 1 + 5*y**2 + o - 1 - 7*y**2 wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from {x: 1, z: 1, v: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**19)\/s*s**(-2\/3)*s)\/(s*s**8*s*s)**(-2\/43))**(3\/16) assuming s is positive.\nAnswer: s**(-1171\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 14 = -2*b, 20*b - 7 + 13 = -2*c + 32 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 3*v**2 + v - 1. Let n be -3 + -2 + -1 + 7. Suppose -w + 4*m = -15 + n, m = -2*w - 8. What is u(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 - 317\/7. Let u = 13203 + -13205. Let c be (-108)\/m*u\/(-2)*30. Calculate the greatest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5668 and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*m - 22*m = 698900. List the prime factors of m.\nAnswer: 2, 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/9)\/(18\/(-27)))\/((1792\/(-9120))\/28)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 (base 5) in base 9?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 46590 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 1292?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1.1, 24.6.\nAnswer: -1.1, 2\/3, 24.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + m - 11, 3*a - 5*m + 4*m - 13 = 0. Suppose -4677 = -3*k + a*i, 4*k + 6*i - 6236 = 10*i. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1325.92815 microseconds?\nAnswer: 0.000000015346390625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-14 - -9) + 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 5.\nAnswer: 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -321*m**3 + m**2 - 64*m + 3 wrt m.\nAnswer: -1926*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**4 - 4*b**2 - 5*b**3 + 3*b**3 + 6*b**2 - 63*b**4 to t*b**3 + j*b + f*b**4 + z*b**2 + o and give f.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - d**2 + 8. Let p(m) = 67*m**3 + m**2 - m - 40. Determine 5*k(u) + p(u).\nAnswer: 57*u**3 - 4*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*13\/(-65)*(-5)\/(-27)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11259833185 plus 40?\nAnswer: -11259833145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 6)\/((-4692)\/(-92)). What is the second biggest value in 0.3, g, -0.1, 1\/148?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504401 = -190*k + 523021 for k.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, j: 1}. What is prob of sequence jjy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9997 - 3063 - 4507 + 10476)*(i**2 - 2*i**2 + 1 + 2*i**2).\nAnswer: 12903*i**2 + 12903","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -77, -1, 0.\nAnswer: -77, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 15*h - 3 - 7*h as d*h + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 485*g**4\/12 - 28*g - 1. Let w(s) = s**2. Give w(i(u)).\nAnswer: 235225*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 146*r**3 + 2*r - 226?\nAnswer: 438*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 5*m + m + m + 11*m - 4.\nAnswer: 5*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 6) to base 12\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -101. Suppose -i = 4*z + 14, -5*z + 39 + 54 = -3*i. Let b = t + i. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12144 (base 5) in base 11?\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 2. Let g be w(-7). Let j(m) = -m**2 + 2*m + 17. Let r be j(-3). Solve -5*h = -r*h + g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -4717.4.\nAnswer: -1886.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226547264 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 4 - 28 = 0. Let z(w) = w**3 - 3*w**2 - w - 2. What is z(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1.5, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 611 and 55961841?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/6 + 2 + 35\/(-16905)*-713.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 75?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 265*j**4 + 2*j**3\/3 - 9*j**2\/2 + 8*j - 67. Is n(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 3. Let p be c(9). Suppose 5*y = 4*z + 3, 0*z - p = -5*z. Suppose -690 = -5*g - 4*k - k, 435 = y*g - 4*k. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -419*v**2 + 13348*v + 6195810.\nAnswer: -838*v + 13348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -10242 (b) -1 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46652829241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from xmubkkxkxkmukk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 0) + 2 + 6. Solve o*s + 6*c - 31 = 3*c, -2*s - 4*c + 18 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*l - 45, -3*x - 3 = 10*l - 88. Suppose 7 = -2*a - 7. Which is smaller: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*r - 4)*(5*r - 2 + 14 - 7*r)*(3*r**2 - 4*r**2 + 3*r**2) in the form g*r**2 + z*r + u*r**4 + n*r**3 + c and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + ((sqrt(7) + 0 + -5 + 1)*4)**2.\nAnswer: -128*sqrt(7) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + -1)*-6.\nAnswer: -36*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -565356\/5 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-573)\/2865)\/((-1)\/150)*-1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18473.\nAnswer: 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 less than 63\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -491 - -485 - (3*(-57)\/3 + -1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -1\/11 (c) -3\/8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1307413 is divided by 739.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66625701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/3637022 and 3\/12729577?\nAnswer: 25459154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1347*a**3 - 1188153 + 1188153 + 2*a**3 + a**3 - a**3 + (-3*a + 2*a + 0*a)*(4 - a**2 - 4).\nAnswer: 1350*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119963.\nAnswer: 119963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-69278))\/((-171)\/(-2679))?\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144 - -235. Let p = 120 - n. Let y = p - 15. Calculate the greatest common divisor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*sqrt(52))**2 + 1) + (sqrt(468) + -3*sqrt(468) - (-2 + (sqrt(52))**2)).\nAnswer: -1304 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.3 (b) -1\/3 (c) -0.5 (d) 2 (e) 759\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8300*(-1 + -1 + 22). Round d to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 531 and 19764?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -739 + 3823\/5. Let a = z + -26. Let l = 0.2 - 0.3. Is a at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2. Let p(s) be the third derivative of -s**5\/10 - s**4\/24 + 27*s**2. What is w(p(r))?\nAnswer: 72*r**4 + 24*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in -0.5, 0.4, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 29. Suppose h = -5*a + x, -4*a - 5*h + 4*h + 21 = 0. Solve -a*u + 10 = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6 + 8*z - 5507*z**6 - z**2 - 24*z + 5492*z**3 - 5492*z**3 - 883*z**6 wrt z?\nAnswer: -766800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258125.\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 180542.\nAnswer: -722168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*i - 70*i + 0 + 2*i**3 + 2 to s*i**3 + u + d*i**2 + z*i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 5*q**2 - 8*q + 5. Let h be y(2). Let j be 95\/15 + (10\/6 - h). Let t = 31 - 30. Solve 2*k - t = j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*sqrt(12)*1)**2 + (sqrt(12)\/sqrt(4)*-6 + 5)**2.\nAnswer: -60*sqrt(3) + 437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2\/4 + 31*p\/4 = 0.\nAnswer: 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 11. Find the third derivative of -8*s**6 + n*s**6 + s**2 - s**2 + 2*s**2 wrt s.\nAnswer: -480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n + 11. Calculate the remainder when 18 is divided by r(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h + h + h)*(-h**2 - 4*h**2 + 4*h**2) + (-5*h**2 + h**2 + 2*h**2)*(h + 2*h - h) + h**3 + h**3 - h**3)*(-2*h + 0 + 0).\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 + 2.61. Let p = -15.5 + x. Let d = p - -13. Which is the closest to d? (a) 1\/3 (b) 0.5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/96*(-6 - 924). Calculate the greatest common divisor of 12524 and i.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 90 and 82613.\nAnswer: 7435170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-24))\/((-317)\/(-2536))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 535163?\nAnswer: -535163.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**5\/35 - o**4\/7 - 2*o**3\/21 + 2*o**2\/7 + 3*o\/7 + 55. Determine k so that s(k) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**4 - 13761*r**3 + 151113*r**2 - 480555*r + 343200 = 0.\nAnswer: 1, 5, 4576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**2 + 201. Let q(d) = -136*d. Give q(b(x)).\nAnswer: -272*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296754.\nAnswer: 2, 3, 49459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 570 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92\/69*(-3)\/(-26)*299.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2206632 and 7723212.\nAnswer: 15446424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*x**2 + 89*x**2 - 67*x**2 - 1 + 7*x**3 + 3*x in the form p + a*x**2 + k*x + v*x**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*r + 14. Let h be r\/(2\/(-15)*3). Find the common denominator of h\/4*2 + 0 and 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1762584?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.6868 rounded to one dp?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g - 4. Let j(h) = 40 + 4*h + 7 - 3. Let i(n) = 88*b(n) - 2*j(n). Give i(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 5*z**2 + z - 1. Let p be l(5). Let b = p - -1. Suppose -2*n = x - 34, -3*n - 60 = -b*x + 123. What is the remainder when x is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-10)*-10*1. Suppose -p = q - 5, -5*q + 8*p - 4*p = 11. What is the tens digit of (-19)\/(q + 12\/h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/4 - (19 + -19))\/(-2 - -8). Put 0.5, 3, a, 0, 41 in decreasing order.\nAnswer: 41, 3, 0.5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5.17, 0.12 in descending order.\nAnswer: 5.17, 0.12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-10) - (-4)\/(-10). Let o(d) = 0*d + 0*d + d + v*d. Let p(g) = 2*g. What is p(o(j))?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 6511 = -3530 + 171. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29705634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4.16*-8.4\nAnswer: 34.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10473 - -17626. Is j a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -704*d**5*m + 32*d**3*m**2 - 867*d*m**2 - 2*d + 4*m**2 - 2*m + 2 wrt d?\nAnswer: -14080*d**3*m + 192*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/20, 2476, -2?\nAnswer: 2476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.082, 3, 1, 0.03, 2 in decreasing order.\nAnswer: 3, 2, 1, 0.03, -0.082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c5dc (base 16) in base 5?\nAnswer: 130443401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95616 divided by 664.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -26*j - 1. Let o(p) = -1. Suppose -2*s - 84 = -16*s. Let t(y) = 2*y + 6. Let g(f) = s*o(f) + t(f). What is z(g(x))?\nAnswer: -52*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.535261 * 0.7\nAnswer: -0.3746827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = -8. Let p(w) = -w - 12. Let q be p(-8). Let c(b) = b**2 + b - 3. Let x be c(q). What is the greatest common factor of x and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4 - 20)*3\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17709, -70854, -159405, -283344, -442653, -637314, -867309?\n\"Answer: 3*k**3 - 17721*k**2 - 3*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*m - 739, -5*o + 3713 = 7*m - 3*m. What are the prime factors of o?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 132*d**3 + 121*d**2 - 121*d. Let a(k) = -k**3 - k**2 + k. Give 242*a(o) + 2*g(o).\nAnswer: 22*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -g - g - 22, 4*l = -2*g + 10. What is the first derivative of 3 - 1 + 2 + l*v**4 wrt v?\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222727, 222728, 222729, 222730?\nAnswer: 222731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-5 + -31 + 4)) + 3. What is the highest common factor of 6253 and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)\/z*z*z\/(z\/z**(-7)*z))**5\/((z**(2\/7))**(-2)\/(z\/z**0)**24) assuming z is positive.\nAnswer: z**(-353\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273526.\nAnswer: 2, 11, 12433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 31\/1699536?\nAnswer: 31\/1699536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjg when four letters picked without replacement from jgjjgj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1193, -1138, -1047, -920, -757, -558, -323?\n\"Answer: 18*c**2 + c - 1212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - i + 1 + (-1 + 1 + i)*(-1 + 3 - 3) + 0*i - 3*i + 6*i + i + 2*i + 0*i as s*i + b and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i + 6. Let x be n(4). Let r = x - 29. Calculate the lowest common multiple of r and 41.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*s + 12*s - 2*s**2)*(-767 - 844 + 1101).\nAnswer: 1020*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7. Suppose -z - z = s. Suppose a + 7 = -5*i + 16, 3*a - i - 91 = z. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292*p - 308*p + 16 = 0. Sort 0, p, 21, 0.3 in descending order.\nAnswer: 21, p, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.2 in 4, -26.9, -0.58?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 1. Let v(g) = 623*g**3 + g**2 - 3. Determine -3*h(y) + v(y).\nAnswer: 617*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -7) + 5 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 1296*o + 4\/3*o**3 - 28 + 72*o**2. Determine q, given that h(q) = 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1611 (base 7) in base 10?\nAnswer: -645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -2\/9, 5, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 65*y**2 - 16*y**2 - 16*y**2 - 14*y**2 - 18*y**2. Let n(l) = -l + 29. Determine n(d(v)).\nAnswer: -v**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650*z + 4 = -648*z. Is z greater than or equal to -4\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*r = 110*r - 4445280. Is 112 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 131*a**3\/6 - 17*a**2\/2 - 5*a - 7. Let f(v) = -v**3 - 6*v**2 - 2*v - 6. Let y be f(-6). Is h(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85263523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 35. What is the tens digit of z(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, 19, 33, 47?\n\"Answer: 14*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 577809911 and 343?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2))**(3\/4)*(p*p\/(p*p**(-4\/5)))\/(p\/((p**5\/p)\/p)*p)*((p\/(p**(-2\/21)\/p*p))\/(p**(-6)*p))**(-1\/34) assuming p is positive.\nAnswer: p**(32069\/14280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25133 + -447?\nAnswer: -25602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23010 + 0.\nAnswer: 23010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -11*t + j, -2*j - 192 = -4*t - 186 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a day in minutes?\nAnswer: 19296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 + 78 = 5*m + r, 3*m - 180 = 3*r. Suppose 0*a - 5*a = -s - 272, a + 3*s = m. What is the remainder when a is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*v = -9, -2*v = 5*u - 6*v - 24. Calculate the greatest common factor of 124 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3192948413?\nAnswer: 911, 1123, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4*-1*24. Let g = -15 + j. Let q(i) = i**2 - 3*i - 4. Let w(b) = -b**2 + 4*b + 5. Give g*w(h) - 4*q(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 10 = -135. Solve -4*c - 7 = -5*m - t, 0 = m + 5*c - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23074060.\nAnswer: 2, 5, 23, 103, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*p + 2. Let n = 34 - 34.3. Which is the second smallest value? (a) n (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*t + 3*z, -43 = -2*t - t + z. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -290*a + 244*a + 1426 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1586*w - 81901 = -51029 + 118212 for w.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 - 29*u**2 + 8*u - 31. Calculate y(14).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98070 + 98070. Let v be (2\/4)\/((-2)\/72). Sort w, 3, v in ascending order.\nAnswer: v, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -127441786.9.\nAnswer: -127441787.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -72*(-2 + 595\/(-15)). Suppose -5*b = -3*u + u - 22, -3*u = -3*b + 15. Suppose 6*p - b*p = v. Round p to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 361417*i**2 - 2070155.\nAnswer: 722834*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = x + u, 75*x - 77*x - 4*u + 24 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 3*g - 52 = 0, 27*d + 2*g = 26*d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 11:26 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-100)\/30)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961350 is divided by 1067.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 43. Let t be f(19). Let c = -17 - t. Let d(u) = -u**3 - 13*u**2 - 16*u - 10. Is d(c) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0175983096 to four decimal places.\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l**(-4\/17)\/l)\/l*(l\/l**(2\/15))\/l assuming l is positive.\nAnswer: l**(-349\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*z - 44*z + 192*z - 46*z - 51*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1593279 (base 10) to base 9.\nAnswer: -2887510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2 + 8)*(-a**2 - a**2 + 0*a**2)*(4 - 3 - 2).\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 3, k: 5, x: 4}. Give prob of picking 1 k and 1 n.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 + 4*y + 3*y + 11*y**2 - 10*y + 17 - y.\nAnswer: 14*y**2 - 4*y + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 - 1. Let f be j(-1). What is the tens digit of (6\/(-15))\/(f\/435)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35357001?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = -2*o + 5436. Let s = o - -455. Factor -2*h**s - 8\/5 - 2\/5*h**3 - 16\/5*h.\nAnswer: -2*(h + 1)*(h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 38847.98ms?\nAnswer: 38847980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**4\/54 + 17*k**3\/27 - 16*k**2\/9 + 5*k + 62. Let p(s) be the first derivative of q(s). Let p(r) = 0. What is r?\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215.416 rounded to 0 dps?\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 3331?\nAnswer: 3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3\/4448, 6 in descending order.\nAnswer: 6, 0.3, -3\/4448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -97*y - 191. Is w(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 13 = -f, -6 = 3*f - 20*n + 26*n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68472379421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*t**2 + 44268326*t + 889467061?\nAnswer: 26*t + 44268326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1*((-910)\/(-44))\/(-13) and 71\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 43 = 2*o, -o - 1101*r - 34 = -1105*r for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1168.11 + -1168. What is the third biggest value in 4, 0.2, p, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -4 (c) -2\/25 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115.7 + -115.5. What is the nearest to 6 in h, 2\/7, -2\/63?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*l**3 + 128*l**3 - 110*l**3 + 2675*l.\nAnswer: -47*l**3 + 2675*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 376775?\nAnswer: 376775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 5*i - 3. Let f be k(-6). What is the units digit of -3 + f + 7 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 143, 302, 491, 692, 887?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 516.0848 micrograms in tonnes?\nAnswer: 0.0000000005160848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + a - 7*n = -a + 9*a + 40, 0 = -3*n - 4*n + 3*n for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 3562816?\nAnswer: -3562815.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68126.\nAnswer: 2, 23, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 262, -1\/7, 0.02, -20\/61, -1\/5?\nAnswer: -20\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 + 38*j + j - 9*j in the form p + k*j + b*j**2 and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.81567 and 0.1.\nAnswer: -1.881567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(3\/18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l + 24*l = 2*x + 26, -3*l = 5*x + 56 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**3 - 6*s**2 + 14*s + 3. What is k(4)?\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396439, 396435, 396431, 396427, 396423?\nAnswer: 396419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 8:05 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 25 = -111. Let r = g + 133. Let z = r - 22. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4 + sqrt(242)*-1)**2 + (sqrt(242) - (-3*sqrt(242)*2 + sqrt(242) - sqrt(242))**2)).\nAnswer: -16908 + 198*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8522375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*l + l - 3*l)*(-5*l + 0*l - 4*l)*(1 - 1 + 1) as v*l**2 + c*l + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*c = -3291 + 3312, 0 = u - 5*c - 18 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*i**2 + 12*i - 11*i**2 + 0*i**2)*(0*i + 3*i - 2*i) + (2*i**3 + 2*i**3 - 5*i**3)*(134 + 120 - 60) to v*i + h + f*i**3 + x*i**2 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b = 267. Suppose -b - 123 = -4*h. Suppose 4*l - 3*m = 63, 0 = 4*l - m - h - 16. What is the remainder when l is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1143530 (base 11) to base 3\nAnswer: 10202101201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/16*(-3)\/(63\/28)\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 56552\nAnswer: 3\/56552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14257 = o - 0*n + n, 0 = 4*n - 20. Suppose 6*t - o = 8674. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4 + 1. Let s = -8 + 7. Let g be (s\/(-2))\/(26\/8). Which is bigger: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -19) + -9 - -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51288, 15, 5 in increasing order.\nAnswer: -51288, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 77339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 4878 + 773 - g**3 + 3*g**3.\nAnswer: -g**3 - 4105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from qqqqoqqo.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2709.05 and 24.73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2792*1 - (1 - (-2 - 0)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -5*n - 3, 3*d + 0*d - 286660*n - 3 = -286662*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*(sqrt(847) + 1) - (2 + sqrt(847))*3))**2.\nAnswer: 264*sqrt(7) + 3424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2 - 3*r**2 + 4*r**2 - 7. Suppose -5*l + d - 36 = 0, 5*l + 15 + 19 = -d. Let o = -8 - -13. Let c(f) = -3*f**2 - 5. Determine l*c(w) + o*v(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 7*z - 2*z + (-3 + 0 - 1)*(5*z - z - z) + 0 + 4*z - 1 - 2*z as l + c*z and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (15 + (4 - 16) - 7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113962 - 27009067\/237. Calculate the common denominator of r and 6\/(-201) - 3310769\/342370.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003735 to 7 decimal places.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2191\nAnswer: -4\/2191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16933 - -17725. Calculate the lowest common multiple of 576 and l.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -104 (b) 0 (c) -101\/5 (d) 7 (e) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1545 and -668.\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**5 + 9203*k**3 - 7603*k**2 + 2*k.\nAnswer: 120*k**2 + 55218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2667 rounded to 2 decimal places?\nAnswer: 6.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9*b**3 + 6*b**2 + 6*b. Let y(k) = -13*k**2 + 20624*k + 19*k**3 - 10318*k - 10319*k. Give 13*m(t) + 6*y(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1190 * 0.02\nAnswer: 23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuoaufji. What is prob of sequence joa?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123)\/(-164)*(-4)\/(-30).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -565345*s + 418. Let x(i) = 12158*i - 9. Determine 418*x(u) + 9*z(u).\nAnswer: -6061*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.28 - -0.02. Let p = 0.3 + -0.4. Let a = -4.1 - p. What is the closest to -1 in 4, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14398993 and 22626989?\nAnswer: 158388923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 60*q + 302. Let f be k(-5). What is the second smallest value in 5\/3, 32, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1603440 (base 7) to base 8\nAnswer: 655140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*v - 27 = 0, 0 = 4*v - 0 + 12. Let j(a) = 2*a + 4. Calculate the remainder when o is divided by j(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7604 + -3?\nAnswer: 7601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -614 + 741. What is the remainder when 252 is divided by b?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 3668*l**2 + 3006*l**2 - 6690*l**2.\nAnswer: -16*l**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -4.3. Suppose -3*i = 3*i - 60. Let y be 0 - 1 - i\/(-6). Which is the smallest value? (a) 2\/19 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21582 and 90906.\nAnswer: 2999898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:43 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 + 37 + 25 - (-14 + -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - w - 4*i + 26704, -3*w + 2*i = -26698. What is w rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.81606 + 0.18394. What is the second biggest value in k, 59, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/2 - 1 - -2. Let j be ((-12)\/30)\/(4\/(-115)). Let l = r + j. What is the second biggest value in 1, l, 2\/15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 2*l**2 + 0*l**2 + (-3*l - 2*l + 3*l)*(2*l + l - 2*l))*(-5 + 5 + 12*l)*(4*l + 0 + 0).\nAnswer: -48*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32909661*l**2 - 32010692*l?\nAnswer: 65819322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4378484, 4378486, 4378490, 4378496, 4378504, 4378514, 4378526?\nAnswer: 4378540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**2\/u*u)**(3\/5)*u**(2\/9)\/((u*u**(-5))\/u)*(u*u*u**(1\/3)*u**5*u)\/(u*u**(2\/5)*u*u**(-3\/4)) assuming u is positive.\nAnswer: u**(2467\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 + 40. Let f = 0.36 - k. Let m = f - -0.74. What is the third biggest value in -0.3, m, -2, 0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 61*o + 619. Let k be u(-10). Sort 4, 62, k in ascending order.\nAnswer: 4, k, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**2 - 5*v**2 - v**2 + (-3*v + 0*v + v)*(3*v - 3*v - v) + (-5*v**2 - 4*v**2 + 3*v**2)*(4 + 12 + 2).\nAnswer: -107*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-6) - 207\/6. Let y = m - -11. Put -1, y, 5 in ascending order.\nAnswer: y, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3 + 65*j**2 - 18*j - 3 wrt j?\nAnswer: -12*j + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + 26 - 7 + 37 - 12 + 3*t as c + k*t and give c.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -2 in ascending order.\nAnswer: -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - -39. Let d = -96 + a. Let c be 501\/d + -4 - (-9)\/15. What is the greatest common divisor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 443597 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 7:50 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*j + 3*o, -3*j + 3*o + 7 - 19 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 21*v**2 - 2*v - 1. Let p(a) = 5*a**2 - a. Let q be p(1). Let m = -5 + q. Is c(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 25) + 100 + -4 - -7\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-6)*(-12)\/56. Let n = 545 - 548. Which is the closest to y? (a) 2\/15 (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18348 is divided by 3712.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**2\/2 + 6*v + 6769. Determine f(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 3*n - 4. Suppose -3*w + 30 = -54. Suppose 2*a + w = -4*j, 2*j - 4*j - 30 = 5*a. What is q(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 482855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 723, 1634, 2919, 4584, 6635?\nAnswer: 9078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.8 - 51.8. Let r = -41.6 - s. Which is the second biggest value? (a) -5 (b) r (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - k**2 + 3. Let p be z(-2). Let f be (-4)\/p*4\/8. Let i = -0.11 - -4.11. Sort i, 2, f in increasing order.\nAnswer: f, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15370 (base 8) to base 4.\nAnswer: 1223320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10 - 2 = 0. Suppose c*w - 12 = -0. Let x(m) = m**2 - 1. Calculate x(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*h = -27329, h = -4*m - h + 27314. List the prime factors of m.\nAnswer: 2, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 38 - 39 = -4*k, 15 = -5*g. Solve o - 5 = -k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 29 = -67. Suppose 5*t + w*s = s, 5*t - 4*s = 36. Solve t - 14 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 7*v**2 - 10*v - 11. What is s(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 - 2125*s + 265457. What is y(162)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/179? (a) 291 (b) -4 (c) 0.6 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.8 * -9481.\nAnswer: 36027.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4353.1354 and 0.3.\nAnswer: 1305.94062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 4*i + 6*i - 36, -4*i + 33 = -t. Let f(m) = -3*m - 35. Let n be f(t). Solve n*b - 10 = -5*q - 55, q + 20 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3\/3 + 16*h**2\/3 + 28*h = 0. Calculate h.\nAnswer: -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5835 = -3*p + 5862 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (0 + -6)) + -3 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 12*q + 116. Let d = 176 - q. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**4\/u)*u**0\/u*((u**(-1\/2)*u)\/u*u)**34 assuming u is positive.\nAnswer: u**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -1\/244 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u - 5. Let b be t(4). Suppose -8 = 9*o - b. Let m be (-50 - 0 - -2)*205\/o. Round m to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2 - 93*j - 411. Calculate q(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l + 12*l + 65*l - 29*l.\nAnswer: 76*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14999, -4, 2 in decreasing order.\nAnswer: 5, 2, -4, -14999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017702739 to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/21 + -68\/273. What is the third biggest value in 5, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/60 + 14\/(-105). Find n such that m*n**2 - 1\/6*n - 1\/3*n**4 + 1\/6*n**5 + 0*n**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 95, 194, 293, 392, 491?\n\"Answer: 99*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247581.\nAnswer: 3, 27509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34.54 and 0.4.\nAnswer: -13.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2620 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 10*k**2 + 9*k + 12. Suppose 8*b + 440 = 48*b. Give n(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, 1\/3, 12, -1\/8096, -1\/9 in decreasing order.\nAnswer: 12, 7, 1\/3, -1\/8096, -1\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32494, 32583, 32728, 32929, 33186?\nAnswer: 33499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-6 + 2 + 3 - -4) + 14.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7217 + -8036.4. What is f rounded to the nearest 10?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.8 - -39.2. Which is the nearest to -1? (a) -5 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-17)*i))\/i**(-28) assuming i is positive.\nAnswer: i**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 2, -4, 115 in descending order.\nAnswer: 115, 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -644, 44, -5 in decreasing order.\nAnswer: 44, -5, -644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 9*x + 725. Let p = -101 - x. Find the third derivative of -u**2 - 46*u**4 + 8*u**2 + p*u**4 wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2. Let f(r) = 2*r - 17. Let j(l) = 5*l - 36. Let k(p) = 13*f(p) - 6*j(p). Determine q(k(m)).\nAnswer: 32*m**2 + 80*m + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -154232 and 275.\nAnswer: -153957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -297 + 14551\/49. Sort 2\/9, -0.4, w, -3 in descending order.\nAnswer: 2\/9, w, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 4 (b) -4 (c) -2\/763\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 55 = 3*w + k, 4*w - 23 = -5*k. Suppose 4*a = -0*a + w. Solve -2*g = g - a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/76 + 5*(-1)\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22708 + 915?\nAnswer: -219b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1432 + -12024352?\nAnswer: -12022620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5285627 a multiple of 1287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + 70*y**2 - 191*y**2 - 26 + 103*y**2.\nAnswer: -2*y**3 - 18*y**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 364274.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60027\/68)\/(-33) + 27.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6474671411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 - 49. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8) + 13\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 32, 3\/5, -4, 2\/123, -3?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 358.4 + 638\nAnswer: 996.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or -97816\/5?\nAnswer: -97816\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6939, 7023, 7107?\n\"Answer: 84*j + 6855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 225313239 divided by -93?\nAnswer: -2422723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3143\/4 + 786. Let w = -1.8 + 2. What is the nearest to 0.1 in w, k, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/12)\/((-32)\/960)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(612) + (sqrt(612) + 1 + sqrt(612) + -4 + sqrt(612) - sqrt(612)))*-5*-6 + -3)**2.\nAnswer: -100440*sqrt(17) + 4965849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -14792*l**3 - 15*l**2 + 5. Let c(h) = 87524264*h**3 + 88752*h**2 - 29584. What is 5*c(r) + 29584*y(r)?\nAnswer: 14792*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(28)\/sqrt(2) - sqrt(14))\/(sqrt(448) - sqrt(448)*3 - sqrt(448) - sqrt(448)).\nAnswer: -3*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 6*k**2 - 6*k + 7. Let v be x(5). Let r be (-10)\/(-3) - 3\/9. Suppose r*i - i = 10. Solve 0 = -i*u - 8 - v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9538*a**5 + 3*a**4 - 19*a**2 - 2570?\nAnswer: 572280*a**2 + 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*p + 70 = 0, 5*q = -3*p + 293 - 8. What is the greatest common divisor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 13 + 8. Let b = 6 + a. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -283 - 71?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 19*o**4 + 292*o**3 + 807*o**2 - 2500*o + 1406. Let q(w) = -5*w**4 - w**2 - 2. Let h(c) = 3*q(c) + x(c). Determine u, given that h(u) = 0.\nAnswer: -70, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310372 (base 8) in base 6?\nAnswer: -2111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79037, -158825, -238613, -318401, -398189, -477977?\nAnswer: -557765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-45)\/2))\/((-84)\/401436*-59).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -833 - -6683\/8. Calculate the common denominator of a and -68\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 460102*c**2*m + 2019704*c**2 - 3*c*m wrt m.\nAnswer: 460102*c**2 - 3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*x + 1278532, -4*q = 2*x + 2*x + 5114128. Let m be (q + -2)\/(6\/(-4)). Let d = m + -422356. Round d to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and 12231894.\nAnswer: 18347841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 532, 2114, 4750, 8440, 13184?\n\"Answer: 527*f**2 + f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6951*h + 6947*h + 3*q + 32, 0 = -3*h + q + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (-6*((sqrt(931)*-2 + -5 - (-6*(sqrt(931) + 0) - sqrt(931))) + (0 + sqrt(931) + 1)*5))**2*3).\nAnswer: -10054797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/3360312 and 101\/173056068.\nAnswer: 346112136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 13*w**2 + 11*w - 42. Let o be t(-14). Suppose 0 = -3*d - 4*p - 2 + 14, o = 2*d + 2*p - 8. Solve 7 = -d*l + 23 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149776032 divided by -112\nAnswer: -1337286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-12)*24\/2. Let f be (a\/(-6))\/(6\/4). Let j = f + 1. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 + 125. Suppose -y - u - b = -415, 0 = 4*u - 4. Is y a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/92 - 413\/828. Let p = 358 + -938. Let f be (6 - p\/(-96))*3. Sort 1, u, 2, f in decreasing order.\nAnswer: 2, 1, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}