diff --git "a/data/dm_maths/full_data_1/2679_11255.jsonl" "b/data/dm_maths/full_data_1/2679_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2679_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is prob of sequence fwi when three letters picked without replacement from {w: 1, f: 1, p: 2, i: 1, c: 1, j: 2}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-141)\/470*35\/252?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**5\/60 - 9*t**2 - 19*t. Let c(z) = 132*z. What is r(c(y))?\nAnswer: -17424*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/(2*-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29359700.\nAnswer: 2, 5, 331, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1607*q = -1604*q - 6. Solve 8*b = 9*b + q, 4*b + 6 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 70*a**5 - 125*a**4 + 15*a**3 + 65*a**2 - 25*a = 0.\nAnswer: -5\/7, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-255)\/(-63) - 4)\/(1\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2018051 and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-51)\/90 + 4\/10. Which is the nearest to 0.1? (a) -0.1 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-6)\/(-1170)) + 2. Suppose z - 16 - r = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -238*w**3 - w + 1. Let m be t(1). Let a be -2 - ((-4)\/(-2) - 933). Let d = a + m. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(21\/4))\/(s\/(s**36\/s)))**(2\/97) assuming s is positive.\nAnswer: s**(161\/194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 13. Which is the closest to 2\/3? (a) -1\/6 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75445051 and 2123?\nAnswer: 75445051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -882 + 883. Suppose 0*m - 2*m = 8, 3*k = m + 4. Which is the fourth biggest value? (a) s (b) -1 (c) -0.04 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/((-27)\/6). Let q = 51 + -60. Let o = q + 11. What is the closest to 2 in 1\/5, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4364550 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**9\/504 - 7*k**5\/60 + 7*k**2\/2 + 2. Let y(n) be the second derivative of r(n). What is the third derivative of y(l) wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18, -413, -1478, -3549, -6962?\n\"Answer: -56*m**3 + m**2 - 6*m + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37319373 to the nearest integer?\nAnswer: 6109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 1:35 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k = 32*k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 8*d**2 - 8*d - 6. Suppose 4*p = 4*m + 16, p - 16 - 2 = 3*m. Determine r(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 12.4. Which is the third smallest value? (a) 2 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77661 (base 11) to base 13.\nAnswer: -3c334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 40 + -1 + -2. Calculate the greatest common factor of 54 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 13 + -6 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 12. Let r be j(-8). Suppose 0 = -5*a + 20, r*k + k - 2*a = 237. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-10)*2*20\/(-16). Suppose 2*d + 3*v - 28 = -1, 2*v + 34 = q*d. Solve -4*g = -g - d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 7) in base 12?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - n + 7. Let o(a) = a**2 + a - 7. Determine -5*d(m) - 4*o(m).\nAnswer: m**2 + m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1408 and 440176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*l - 60293 - 3615, -4*c = 4*l - 63908. Suppose c = -2*v + 75977. What is v rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 83, -8?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1926*r - 1937*r + 3863*r - 581*r**2.\nAnswer: -581*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.4 - -0.6. Let o = 7 - w. What is the closest to -1\/4 in 0.4, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 19392*d + 38800.\nAnswer: -4*(d - 2)*(d + 4850)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120774 divided by -1.\nAnswer: -120774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m + 2181 - 2021 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 0*r - 4*r + 3*r to s*r + k and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.039 - -0.0431. Round w to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a week?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2500) - (sqrt(2500) - (-3*sqrt(2500) - sqrt(2500) - sqrt(2500))) - sqrt(2500))*-5 + sqrt(2500))\/(-5*1*sqrt(245)).\nAnswer: -62*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 786 a factor of 588922604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1083*x - 1080*x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*c - 3 = -0*j, -9 = -4*j + 5*c. Suppose -j*k + 4*k + 86 = 0. Suppose x = -243 + k. What is x rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.025, -0.214, 197, -17?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a millennium in months?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*h**2 + 27*h**2 + 9*h**2 + 28*h**2 in the form d + a*h**2 + u*h and give a.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-646)\/(-3) - (-13)\/(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2 + 151*q + 4009. Let z be r(-48). Is z at least as big as 5978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -3*o + 11, 0*r + 5*o = -3*r - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**3*x**2 + v**3 - 9*v**2*x**2 - 115*v**2 - 117*v*x**2 - 9*v*x wrt x?\nAnswer: 4*v**3 - 18*v**2 - 234*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14*(-30)\/20*-185 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/217433 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -13. Suppose 125 = -m*v + 613. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(5*o**4 - 2*o**4 - 2*o**4 + (-2*o**3 + 1 - 1)*(3*o - 5*o + 6*o)) + (-2*o**2 + 2*o**2 + o**3)*(3 - 3 - 2*o) - o**4 + 0*o**2 + 0*o**2.\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(sqrt(2) + 1)*-2)**2.\nAnswer: 72*sqrt(2) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-50))\/2)\/(12\/(-8)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 200584 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 2\/3, -3, 0, -1101?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 267*p + 522.\nAnswer: 3*(p - 87)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*u - 39*u - a + 4730, -3*u + 3550 = 2*a. List the prime factors of u.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/2*(4 + 594)*2 + 5 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Suppose 10 = q - z - 5, j*z - 40 = -5*q. What is the remainder when q is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/17 - (-1060)\/(-340). Which is smaller: k or 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68 and 57.49?\nAnswer: 3909.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*p**2 - 133*p**2 + 77*p**2 + 15*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(13\/5 - (-30)\/(-50)). Suppose 0 = p - 5*p + v, 2*h - 2*p - 2 = 0. Solve -3*q - 2 = -s - q, -h*q = 2*s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2319, 202, -89 in increasing order.\nAnswer: -2319, -89, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -154, -175, -196, -217?\n\"Answer: -21*f - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 36\/(-8) - -6. What is the fourth biggest value in 0.5, -5, 5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3090003525 + -1764373402737\/571. Let l = 32592 - b. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210.7841 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04893 rounded to 3 decimal places?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*c + 13*c - 5*c - 1204.\nAnswer: -97*c - 1204","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -v + 20, o + v = -0 + 4. Suppose 5*k - 805 = 4*u, -3*k + o*k + 795 = -4*u. Round u to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (3 + 0) - (0 + 2) - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209 divided by 1347.\nAnswer: 209\/1347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 4 - 1 - 2 + (x - 3*x + x)*(0*x - x - x) - x**2 + 3*x**2 - x**2 + 7*x**2 + 17*x**2 - 5*x**2.\nAnswer: 20*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 - 45*h + 54. Let v be o(-16). Solve -5 = -11*y + v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2990 - 8971\/3. What is the nearest to -13 in 5, o, 1, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -72. Let z = 224 - h. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.21 + -0.21. Let c = -7.7 + 8. Sort u, 2, c in decreasing order.\nAnswer: u, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147901398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -a95c (base 13) to base 6\nAnswer: -301040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6490 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvs when three letters picked without replacement from {o: 4, n: 1, v: 7, s: 4, g: 1}?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 25*s**2 - 115*s - 4555. List the prime factors of a(-40).\nAnswer: 5, 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 56, 151, 294, 485, 724?\nAnswer: 1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 24 = -3*o + 2*j, 4*o + 32 = -j. Let n be (-15)\/(-9) + o\/(-24). Let l be ((-72)\/(-30))\/(3\/(30\/n)). Solve -a + 15 = l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13799 (base 10) to base 14\nAnswer: -5059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14020434 + 3?\nAnswer: -14020431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*o + 2 = 0, 4*c - 2*o + 0 = 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2721 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3. Let i(p) = -p**2 + 1. Let v be i(0). What is the units digit of x(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1258\/9 + 140. Let l = -10 + 9.6. Let z be (6\/(-10))\/((-36)\/8). Which is the closest to m? (a) 1\/5 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 184405 = -3*m - 5*z, 0 = -m - 2*z + 61475. Suppose -11*n = -32*n + m. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + r**2)*(-2*r**3 + 2*r**3 - 2*r**3 + (-6*r + 2*r + 3*r)*(-2*r + r**2 + 2*r + (-2 + 2*r + 2)*(-3*r + 4*r + 0*r) + 114 + 6*r**2 - 114)).\nAnswer: -11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - 3\/(9\/6). Let b(i) = 15*i + 2. Is b(h) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5143 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*h - 25, 31 = -o + 2*o + 2*h. Let b = -33 + o. Calculate the remainder when 18 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrr when three letters picked without replacement from {h: 1, c: 3, x: 1, p: 2, r: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 756. Let i(u) = -u**2 - 6*u - 1. Let h be i(-7). What is the tens digit of (h\/(-12))\/(4\/y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 263, 262, 171, -10, -281, -642?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by -133.\nAnswer: -78\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(1\/(10\/4 + -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/(-286) + (-96)\/1248 - (-972)\/(-22)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Let f(z) = z - 1. Let u be f(7). Let t(i) = -i**3 + 5*i**2 + 6*i + 4. Calculate the remainder when t(u) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = 15*v - 31*v. Calculate the highest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 19*m - 36. Let b be o(21). Let w be b\/(-33) + (-369)\/(-396). Is w at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 634, 2499, 5576, 9871, 15390, 22139, 30124, 39351?\nAnswer: 49826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -46. Solve -o - q = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17765 is divided by 109?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 8 + 3 + 0*h**2 - 6*h + 0*h**2. Let q be i(6). Let r be -1*(-2 + 11) - (q + 2). Let d(o) = -o**3 - 6*o**2 - 4. What is d(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 44*g + 112.\nAnswer: 4*(g + 4)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1802304 is divided by 94857?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 3. Let k be b(-4). Suppose 0 = 3*h + 5*a - 0*a + k, 4*h + 26 = 2*a. Does 14 divide h\/27 + 218\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + l**2 - 2*l + 2. Let w be a(0). Suppose 5*m + w - 2 = 0. Which is greater: 21 or m?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235a62 (base 13) to base 12.\nAnswer: -346854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-110)\/(-12) - (20 + 101\/(-3) + 13)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194 divided by -2.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 1101?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*b**2 + b**2 - 5*b**2 + (3*b - 2*b - 2*b)*(-2*b + 0*b + b) - 3*b**2 + 2 - b + 4*b**2 + 3*b.\nAnswer: -14*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14527100 to the nearest integer?\nAnswer: 3811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*a*h*q**3 - a*h*q**2 + a*h + 8*a*q**3 - 3*h*q**3 - 40*h*q**2 - 2*h - 218*q**3 - 5*q**2 wrt q.\nAnswer: -174*a*h + 48*a - 18*h - 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/153 - 166\/1989. Which is smaller: 2\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + sqrt(99)*-1 + 5 - 1*(-3 + 2 + sqrt(11) + -2)).\nAnswer: -12*sqrt(11) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - p + 0)*(-7994 - 667 - 32600 + 7368 - 17291).\nAnswer: 51184*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 828\/8*(-30)\/(-135)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -4*v + 3*i, 5*v + 13*i - 18*i - 220 = 0. Solve -7*b - v = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 2*x**2 + 3*x - 3. Let c be s(6). Let m = c - 32. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-eight fifths of a kilogram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743*p + 216 = 765*p - 1490*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -491868 - -1049849. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 0 + 7 + 0 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 25325.\nAnswer: -39\/25325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -56*k - 14. Suppose -4*f - 2*g - 31 + 15 = 0, -f - 1 = 2*g. Let x(j) = -19*j - 5. Determine f*n(t) + 14*x(t).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/(-25))\/(4\/(-10)). Suppose -4*r - o - 2*o = 0, 0 = -r - 4*o. Let g = q - r. Let k(p) = -2*p**3 + 4*p**2 - 3*p + 1. What is k(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47536*-0.1\nAnswer: 4753.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -390983 (base 10) to base 4\nAnswer: -1133131013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uupuplquluu. Give prob of picking 3 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**4\/4 - 2*h**3 - 5*h**2\/2 - 4*h - 3. List the prime factors of o(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 6093910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 17*b**3 - 5 - b - b - 11*b. Let a(g) = -2 + 4*g**3 + 1 - 2*g - g. Let n be 1\/(-3)*216\/(-8). Give n*a(l) - 2*v(l).\nAnswer: 2*l**3 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1731898531?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 81 - 38 = -32. Calculate the lowest common multiple of b and 49.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6604.545 kilograms?\nAnswer: 6604545000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*y + 52 = 0, 0 = -4*q - 3*y + 29 + 20. Let a be (-299)\/65 - (24\/q - 2). Let l(x) = -4*x - 1 + 0 + 0 - x**2. Calculate l(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 789 + 113 = 0. Let p = -225 - u. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52198393067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8368 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/((-32)\/(-12)))\/(66\/2816*-8)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**3\/3 + 12*o**2 - 22*o + 12. Let v be t(-25). Solve 2*u = 7 - v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 - 89091*j**2 + 89091*j**2.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1, -2\/5, -189, -0.07 in decreasing order.\nAnswer: 1, -0.07, -2\/5, -2\/3, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 5*w + 14, -2*t - 3*t = -5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 6:25 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 158971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5743 - -8633. Does 76 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/4, 3.29, -58, 1, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.609 - 1920616.\nAnswer: -1920609.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 34 + 138 = 0. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 + 0*h**3 - 5*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 720015?\nAnswer: -720015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1884 = -3*j + 3*l + 2838, 6 = 2*l. What is the highest common divisor of 747 and j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen fifths of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25371773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 15361, -3, -4, 1, 2, 590 in decreasing order.\nAnswer: 15361, 590, 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w. Let f = -12 + 14. Let d(g) be the third derivative of -g**f + 1\/24*g**4 + 0 + 0*g + 0*g**3. Give d(a(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.927 + 0.173. Round o to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 4*j + 5*z = -31, -4*z = j + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 23132 (base 6) to base 7\nAnswer: 12416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -352353156 + -2?\nAnswer: -352353161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8716684*-0.3.\nAnswer: -2615005.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyyt when four letters picked without replacement from yyytytyyttyyyt.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 454113, 454117, 454121, 454125?\nAnswer: 454129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x - 2. Let d be q(5). Suppose 21 = -10*w - 199. Let h = w - d. Calculate the least common multiple of h and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 32802263.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7 - 3*q + 2 + 4*q**3 + 2 + 2*q**3. Let k(h) = 17*h**3 + h**2 - 8*h - 8. Let b(z) = -8*d(z) + 3*k(z). What is the third derivative of b(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 3\/420698 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-3 - 11\/(-3)). Suppose 42 = -2*y - 4*o, 0 = -2*y + b*o - 59 + 11. Let x = -10 - y. Calculate the greatest common factor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v**3 + 47*v**3 - 22*v**3 + 22*v**2 + 57*v**2.\nAnswer: 3*v**3 + 79*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 952 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3432*t**5\/7 + 33078*t**4\/7 + 35025*t**3\/7 - 29685*t**2 + 181728*t\/7 - 45468\/7 = 0.\nAnswer: -6, -842\/143, 1\/2, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - -1106761?\nAnswer: 1106771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -35 and 2655.\nAnswer: 2620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2979598 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/50*(-616)\/1694?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 15*i - 99. Suppose -5 = -3*o + 13. Let q(w) = w + 2. Let c(j) be the second derivative of -5*j**3\/6 - 11*j**2\/2 + 3*j. Calculate i*q(r) + o*c(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/10 of a century?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 276622 = 52403 - 86055. What are the prime factors of u?\nAnswer: 2, 5, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - 11011110?\nAnswer: -11000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 219 + -219. Let j be 0 + (-7)\/7 + (2 - c). Let p(y) = 6*y**2 - 1. What is p(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1816 is divided by 69?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 3*l. Let t be s(4). Let r = -1 + 4. Suppose -5*f = 4*h - 20, -20 = -5*f - r*h + 6*h. Solve 0 = -5*n - t*o + 24, -n + f*o + 4 = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11727 + 35287 + 13652 = 21*u. Is 1774 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22198479 less than -3.1?\nAnswer: -3.32198479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 78331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q**2 + 0*q + 6*q**2 + 2*q - 8 to the form a*q + r + h*q**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2573865335\/131 + -19649699. Let l = f - -1872. Is -1 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {e: 5, x: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 24*h + 4. What is the units digit of p(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 21*f - 6710 = 0. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 20449524*p + 20449523.\nAnswer: (p - 20449523)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, e: 2}. Give prob of picking 3 p.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 176 = -4*t. Suppose -5*m = 4*x - 110, -2*m + 44 = 2*x + x. What is the highest common factor of t and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -2*i**5\/5 + 3*i**4 - 6*i**3 + 46. Determine a so that z(a) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15107936 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 13*c - 30. Give j(13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/5 - 202*x\/5 - 396\/5 = 0.\nAnswer: -99, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g - 2 = 0. Let v(l) = l - 1. Let j(h) = h**2 - 5*h + 1 + 2 + 2*h. Determine g*j(t) - 5*v(t).\nAnswer: -t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9435 and 447.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -53. Suppose 0 = -i*y + 27 - 12. Let x be (28\/21)\/((-2)\/(-3)) + y. Solve 2*v - 2*z - 4 = 0, v - x*z = 6*v - 20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 170034 = -2*t, 5*t = -3*p - 13693 + 141251. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:28 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12297 - 12297.38. Sort -83, 1\/2, h in increasing order.\nAnswer: -83, h, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 633 + -475 - (-8 - -96)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r + 6. Let w be y(3). Let j = 1 + 2. Solve 0*z + w = j*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -12. Let r(f) = 3*f - 12. Let m be r(c). What is the third derivative of 2*b**3 + b**2 + 6*b**2 - b**m wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3516 + -3516.2229. Round a to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 104. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25022?\nAnswer: 2, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 41\/8 - 11\/88. Suppose 6 = 4*n - 5*d, -3*d - 15 = t*n + 2*d. Which is smaller: n or 2\/143?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 18}. Give prob of picking 2 m.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 125098900 divided by -27350\nAnswer: -4574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 + 776\/(-4)*-209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -20 + (-4*1 - -3). Let j = z + 40. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78319 is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3791 + 3812. Solve 17*d = a*d + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**2\/2 - 6525*m\/2 + 1579044 = 0.\nAnswer: 727, 1448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*f - 134 - 70, 3*f - 44 = -o. Let j = o - 37. Suppose 4*a = j + 5. What is the greatest common divisor of 15 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (589\/(-76))\/(1\/(-156)) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 3. Let a(q) = 6*q - 14. Let r(c) = 2*a(c) + 11*u(c). Let f be r(0). Let x = 16 - f. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*a**2 - 1464*a + 26460.\nAnswer: (a - 90)*(13*a - 294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + d + d)*(19 - 2 + 19).\nAnswer: -72*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, i: 1, h: 1, z: 2, k: 4}. Give prob of picking 1 h and 2 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/21 and 19\/992970.\nAnswer: 6950790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 251849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**2\/2 + 5*i + 2. Is y(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 4. Let j(s) = -9*s + 1. Let y be j(-1). Let v = y + -6. Solve 16 = -4*p, -3*h - v - r = -p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7743895.\nAnswer: 5, 1548779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2574000 to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-1 + -2) - 0. Let w be (k\/10)\/((-2)\/(-20)). Suppose l - 31 = -w*p, -4*p = 3*l - 74 + 25. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 1:10 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181602 is divided by 841.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 2. Let r = 12 - 10. Let q(k) = 4*k + 7. Give r*q(o) - 7*z(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2 - 4*n + 6. Let k(z) = -6*z**2 - 5*z + 7. Let i = -203 - -208. What is i*b(d) - 4*k(d)?\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b + 313. Let a be n(-72). Solve 4*u = 4*h, 21*h - a*h - 5 = -5*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 7*t + 184. What is the remainder when 190 is divided by n(15)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 189*a**2 + 180*a**2 - 424*a**2 as x*a**2 + q + v*a and give x.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.11 and 4257.\nAnswer: -21753.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10497*j**3*s**2 - 3*j**3*s - 5*j**3 - j**2*s - 34*j*s + 2371*s**3 - 422 wrt s.\nAnswer: 20994*j**3 + 14226*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*i**2 + 120*i**2 + 60*i - 60*i - 66*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 292*w**3\/3 + 2320*w**2\/3 + 4544*w\/3 - 256\/3.\nAnswer: 4*(w + 4)**2*(73*w - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1232 + 2640. Suppose 3*i = 986 + v. List the prime factors of i.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/((6\/(-3) - 1)*10\/(-12920))?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 21689784.\nAnswer: 21689784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*f - 78 = -90*f - 783 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/2*9\/(-3). Let x = -1 - n. Solve 5*c = -x*s + 13, -5*s + 3*c - 5*c + 22 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -14.3?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30484656 divided by 10161552\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 156*x**3\/5 + 250*x**2 + 1108*x\/5 + 14\/5 = 0. What is x?\nAnswer: -7, -1, -1\/78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*-1*5\/(-10). Solve y = -p*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 28993470*r.\nAnswer: -5*r*(r - 5798694)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 - 50*l - 40. Let i(c) = -43*c - 231. Let o be i(-5). Give t(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-14))\/((-1)\/((-42)\/(-30))). Factor -8\/5*h**3 + 0*h**4 + 6\/5*h + 4\/5 - 4\/5*h**2 + r*h**5.\nAnswer: 2*(h - 2)*(h - 1)*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18499657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/26)\/((-2343)\/(-20306)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 2:57 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-2)*-15*68\/(-425)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -862 = -2*a + 2*k, -4*a - 2*k + 434 = -3*a. Let i be (-4 - 271)*2\/2. Let r = i + a. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -4 - -8 - -3 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*d + 5 - 15, -3*d = -o + 10. Suppose -o*j + g = 10 - 30, -5*j = -g - 26. Find the third derivative of 4*b**5 - j*b**2 + 0*b**2 + 2*b**5 wrt b.\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x + 4. Let v(l) = 4*l + 6. Let o(m) = -6*p(m) + 4*v(m). Let z(a) = -a - 34. Let d(t) = 2*t + 34. Let w(h) = -2*d(h) - 3*z(h). What is o(w(b))?\nAnswer: 2*b - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16686 is divided by 393.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 5\/42, 1\/15, 3\/4, -5 in increasing order.\nAnswer: -5, 1\/15, 5\/42, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbd when three letters picked without replacement from {d: 5, b: 15}?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {b: 3, y: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = -6*t, -t - 29 = 5*u - 9. Which is the smallest value? (a) u (b) -0.242 (c) 1\/5 (d) 5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -91 - -2?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2163*b**5 + 556*b wrt b.\nAnswer: -43260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 2*f - 20. Suppose 15 = -3*c, -366*c - 44 = 3*z - 362*c. Give l(z).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*n - 106 + 108 + 91*n as x + r*n and give r.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.4038 - -77.3032. Let y = -97.1 + j. Let u = y - -0.43. Round u to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 943353918 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f + 47*f - 43*f + 184*f.\nAnswer: 179*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.105190152*19.\nAnswer: -1.998612888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -226.92057541 - -180.9205752. Let s = o - -46. Round s to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -1 - -8) + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2420044144 (base 5) to base 15\nAnswer: 762884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210420\/4676*4\/(-300)*-9?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242950298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - 5*f + 4*f)*(-181*f + 203 - 203) + (f**2 + 3 - 3)*(1 - 2 + 3) to the form p + t*f**2 + r*f and give t.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - 3*v**4 + 3*v**4 + (-2*v - 2*v + 3*v)*(-v**3 - 3*v**3 + 2*v**3) - 14*v**4 + 4*v**4 - 4*v**4 + (4*v**3 - 2*v**3 + 0*v**3)*(v + 3*v - v).\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52521694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1010611.\nAnswer: 7, 59, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 688 divide 21803750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -4*w - 25. Suppose -6 = w*o - 7*o. Let s = -8 + 7. Put 0.2, s, o in increasing order.\nAnswer: s, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 3*m. Let n be x(3). Suppose n = 4*l - 3*k + 12, l + k = 2*k - 4. Suppose 4*b - 3*b - 12 = l. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-78) - ((-6)\/39)\/(-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8520.6 - 8521. Let v = 2 + 1. Suppose 0 = m - 3*m + 4. What is the biggest value in v, m, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/9)\/s)**(2\/31)*s**8\/s*s*(s\/(((s*s**(-2\/27))\/s*s)\/s))\/s*s)**(1\/16) assuming s is positive.\nAnswer: s**(7547\/13392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2022386 by 2.\nAnswer: -1011193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*o + 5 = 0. Suppose -o*j + 1 = 6. Let i = 8 + j. Round i to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4022 = 8*m - 7186. Suppose -2*h + m = 245. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 19, 3267, 4, 2, 0 in decreasing order.\nAnswer: 3267, 19, 4, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 674.5 + -617. Let q = -109 - -167. Let r = h - q. Which is the closest to 3? (a) r (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -82, -165, -248?\n\"Answer: -83*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1069\/46 + 5101\/230. Let g be (-4)\/5*(-30)\/92. Let u = g + t. Is u smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -44*y + 43*y. Calculate the smallest common multiple of (-58)\/(-6) - y\/(-9) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(2 + 6*(sqrt(117) + 1 + 0)*2) + 5)**2.\nAnswer: 864*sqrt(13) + 16992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-20)*(-10)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 470130592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 24*s**2 + 28*s - 76. Let p be g(25). What is the smallest value in -2, -59, p?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 13) in base 14?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -254?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/(-4)*(-1706)\/(-4). Let u = w - 1817. Calculate the common denominator of (-6)\/360*3*53 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -2*u + 4*u. Calculate the remainder when u is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/6 - 323*w**2\/6 + 297*w + 2420\/3.\nAnswer: (w - 11)**2*(w + 2)*(w + 20)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/13)*y**(3\/4)*y)\/(y**(-7)\/y*y*y\/(y*y**(-1))*y))\/((y**(-2\/3)*y)**2\/(y**(-2\/11)*(y\/(y\/((y\/(y\/(y**8*y)))\/y)))\/y)) assuming y is positive.\nAnswer: y**(24119\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -365 - 1830 + 21437*k - 10716*k - 10723*k to the form z*k + b and give b.\nAnswer: -2195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12738 divided by 1158.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 3*o**2 - o + 2. Let j be ((-8)\/12)\/((-4)\/24). Calculate n(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**5\/3 + 759355*f**4\/3 - 9609194510*f**3 - 259490017720*f**2\/3 - 749676642400*f\/3 - 230675344000 = 0 for f.\nAnswer: -4, -3, -2, 75940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 11*d - 5. Determine v(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**6)\/v*v*v**(-1\/4)*(v*v*v**(-5\/2))\/v**0)\/(v**(-4)\/v*v\/(v*v**(-6)))**37 assuming v is positive.\nAnswer: v**(-123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 2527690.59 and -0.5.\nAnswer: 2527690.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 371, 6, 596 in increasing order.\nAnswer: 6, 371, 596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18 + -12)*(3 + -1). Let k(z) = 3*z + 7. What are the prime factors of k(c)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 752*d**2 - 86619*d - 612. Give r(610).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13049314 a multiple of 337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -677*q + 65. What is the units digit of n(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 + 1200102?\nAnswer: 1122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -42.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93598430 and 8670.\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 4:15 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387*l + 383*l = -156284. List the prime factors of l.\nAnswer: 89, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**6\/240 - 7*h**5\/120 - 5*h**4\/16 - 3*h**3\/4 - 7*h**2. Factor v(d).\nAnswer: -(d + 1)*(d + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) -5 (c) 222 (d) 20352 (e) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/5 and 39\/251105.\nAnswer: 251105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/32*8\/(-6)*6. Suppose -186 = k*d + 3*n, 3*n + 219 = -5*d - 99. Which is smaller: -67 or d?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 970*g**2 - 71*g + 68. What is the tens digit of d(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 10. Let x = q + 1. Let h = -4.3 - -4. What is the smallest value in 0.2, x, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/10*(-406)\/(-87)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/60 - 5*j**4\/24 - j**3\/6 + 13*j**2. Let b be a(6). Solve -1 + b = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 - 65*h**4 + 65*h**4 - 3*h**2 + 3 - h**5 + h**2 - h**2 + (3 - 3 - h**2)*(-2*h**3 + 0*h**2 + 0*h**2).\nAnswer: 3*h**5 - 3*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x + 3*x**2 - 1 + x - 4*x + 4*x**4 - 4*x to the form t + i*x**4 + n*x**3 + y*x**2 + k*x and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 12 = -4*u. Let m be ((-6)\/u)\/(2\/8). Let p be ((-6)\/5)\/(m\/5). Solve 2*i - 5 = p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -8 (b) 0.4 (c) 5\/4 (d) 0.03 (e) -570\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:18 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/4242 and 38\/9639?\nAnswer: 1947078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125013998.\nAnswer: 2, 62506999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.15 and -0.14.\nAnswer: -2.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3063, 11957, 26779, 47529, 74207, 106813?\n\"Answer: 2964*d**2 + 2*d + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouuugxxxxxsx. Give prob of picking 1 x and 1 g.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 719075718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - k - 1 - 3)*(4*k**3 - 3*k**3 - 2*k**3).\nAnswer: k**4 - 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2951220 and -22\/21915?\nAnswer: 8853660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o = -1. Let h(g) = -2*g**3. Let p be h(-1). Calculate the lowest common multiple of 5 + -2*o\/p and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1355 + 4*j**3 + 1355.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 19. Calculate s(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101 + -54. Let i = f - 60. Put 5, -5, i in ascending order.\nAnswer: i, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 9*n + z + 95, -z = -4*n + 75. Let y be (2 - 2\/4)*24. Suppose 0*b = 2*b - y. Calculate the least common multiple of b and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -967 - 3*v**2 + 967.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -46, -18, 98, 320, 666, 1154, 1802?\n\"Answer: 3*s**3 + 26*s**2 - 71*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288728 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4) + (-42)\/(-72). Let v be 4 - (234\/(-126) + (1\/(-7) - 0)). What is the closest to v in 3, m, -5\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19230 and 28845.\nAnswer: 57690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-16 - (-11 - (-5 - 6)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/(-20))\/((-8)\/20). Suppose -3*w = u*f + 498, 699 = -f - 3*f + 3*w. Let y = 87 + f. Is 0.1 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*t + 39, -2*t - 76 = -5*h - 5*t. Let l = h - 17. Solve 3*q - 2*r = 3*r - 24, l = 2*q - 2*r + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.371444 - 4.37. What is w rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.5 (c) 62\/1135343\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 57. Let k = -3 + m. Let g = k + 21. Which is smaller: g or 11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 4*u. Suppose -5*i + s = -4*i - 8, -s + 4 = 3*i. Let a(r) be the first derivative of -r**3\/3 + 2*r**2 - 1. Let o be a(i). What is d(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(4)\/sqrt(2) + 5.\nAnswer: sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 5*l - 4*l**2 - 6*l**2 + 18 + 11*l**2. Let a be c(-3). Let q(b) = 2*b**3 + 10*b**2 - 6*b - 9. Let h be q(a). Round h to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-14))\/(44\/(-1848))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 131358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13099 + -786001\/60. What is the common denominator of -89\/276 and c?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 418, 1707, 3856, 6865, 10734, 15463?\n\"Answer: 430*g**2 - g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 38179?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9537 and 4131?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -109 divided by -215\nAnswer: 109\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/4, -14\/11, 5, 3 in decreasing order.\nAnswer: 5, 3, 2, 1\/4, -14\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/124 and -7\/682.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/8*2*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 9645 - 10885. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3405*-181.\nAnswer: 616305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4*u - 17 + 5, -3*u = -4*f + 31. Let a(c) = c + c + 9 + f. What is the units digit of a(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2770.3 (b) 215 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 4) to base 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 4*a**2 - 4*a. List the prime factors of f(3).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d*n**4 - 3*d*n**3 - d*n**2*q - 9708*d*n**2 - d*q - 78*n**4*q - 61*n**3 wrt n.\nAnswer: 96*d*n - 18*d - 1872*n*q - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 5, 1 in descending order.\nAnswer: 5, 1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, 1.4, -12?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 5. Suppose 4*c - 4 + 8 = 0. Let g be 28\/(-16) - c - 13\/4. Determine n(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297 (base 16) in base 10?\nAnswer: -663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 4:10 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 366994294+-537\nAnswer: 366993757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -2.9, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -62.73, -2222, -2 in decreasing order.\nAnswer: 0.1, -2, -62.73, -2222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 4*r - 1. Let q be w(-4). Let u be (-4)\/(2 - 4) - 1. Let c be (16\/80)\/(u\/(-8)). Which is smaller: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4516380 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 8*j**2 + 23*j + 2. Determine k(8).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1345*g + 772*g - 165*g - 161*g as v*g + p and give v.\nAnswer: 1791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = 2*a, -6*q - 1 = -2*q + 3*a. Let f(b) = -2*b**3 + 2*b**2 - 2*b + 2. Let t be f(q). What is the units digit of 0 - -1 - t\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*o + 23. Let i = o + 37. Let l be 30\/i - (-67)\/2. Calculate the greatest common factor of l and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2382*o - 2391*o + 6264 = 0. What is the greatest common divisor of 72 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7680 = -43741*u + 43869*u for u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 12:12 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3694\/553 + -14\/79. Let m(b) be the third derivative of b**5\/30 - b**4\/6 - b**3\/2 + 3*b**2. Calculate the common denominator of u and m(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43272955 is divided by 3436.\nAnswer: 3407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 15*y**2 + y - 13. Let x be q(15). Let k(c) = -2. Let v(z) = z + 1. Calculate x*k(m) + 4*v(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -68, -0.3, 2, -0.1 in descending order.\nAnswer: 2, -0.1, -0.3, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {p: 7, q: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f + 62. Let p be c(13). What is the remainder when (4\/5)\/(5\/175) is divided by (-1 + 4)\/((-3)\/p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 533610793 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 5 - 17 + 118*g**2 - 200*g**2.\nAnswer: -82*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 67, 180, 401, 766?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3754 times 0.5?\nAnswer: -0.1877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 7:16 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225 + -300)*(-5)\/(-15).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1992.\nAnswer: 1\/498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.51 - 49870268.93?\nAnswer: -49870383.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 675821 to the power of 1\/2, to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1176 divided by 24.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*q - 6*q - 19*q**3 + 17*q**3 in the form k*q + u*q**3 + w + t*q**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t**3 - 781*t**2 - 5161*t - 7958. Let k(y) = 5*y**3 - 520*y**2 - 3440*y - 5305. Let h(q) = 7*k(q) - 5*n(q). Let h(r) = 0. Calculate r.\nAnswer: -3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-266)\/(-63) + (-1 - 3). What is the third biggest value in 29, -4, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 41*t + 29. Calculate p(-12).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 6*p**2 + 6*p + 7. Let v be m(7). Suppose 5*z - 2*a = 27, -a - 24 = -4*z - v*a. What is the units digit of ((-6)\/z - 0)*-7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - o**2 + o + 520. Let g be i(0). Let s be g\/50 - (-4)\/(-10). What is the greatest common factor of s and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/((-144)\/22) + -1)\/((-5)\/(-45)). Sort -5, -13, k, -1, 12.\nAnswer: -13, -5, -1, k, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 v, and 1 c when four letters picked without replacement from gahyvcgvh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 greater than or equal to -69450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.0494419 rounded to one dp?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 189 = -1215. Is 52 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*m = h - 1, -3*h + 2*m + 8 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 14 = -4*k, 4*n = n + 5*k - 14. Suppose -n*x - x = -78. Let d = x + -16. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3\/7 - 4*o**2\/7 - 2*o\/7 + 4\/7 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455277695 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 - 3*y**2 + 5*y - 6. Let l be b(2). Suppose 0 = -5*j - 4*n, -5*j = 3*n - l + 3. Solve 5*g = -15, -g = j*a - 5*g - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 538646 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from wymxwzywzyzwywzwdm.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 = 2*q + 3*z, 4*q + 4*z = -4. Let g be ((-2)\/q)\/((-1)\/2). Calculate the greatest common divisor of 16 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.6 + 14. Let s = 0.62 + l. Let i = -304\/3 - -100. Which is the smallest value? (a) 2 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(20\/4)*(-2)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 - 26*z**3 + 52*z**3 - 19*z**3 - 6*z**3 - 12*z in the form o*z**2 + l*z + p + k*z**3 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2513 + 2399.9. Let g = n + 113. Which is the second smallest value? (a) g (b) -2\/11 (c) 2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -1 (b) 4 (c) -1\/38 (d) 0.03 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**2\/2 + 9*h - 27\/2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1188*d - 2805. Let w(i) = -29*i + 68. Let k(n) = -4*j(n) - 165*w(n). Let v(h) = 3*h. Determine k(v(o)).\nAnswer: 99*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f + 3. Let t be y(1). Solve -3*i - 2*o + 4*o - t = 0, -4*i - 4*o - 28 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695 a factor of 3676199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*-15*(10064\/(-2590))\/(-136)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(-6) - 256368\/(-144)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.02927?\nAnswer: -0.05854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 54901\/44 + 1\/4. Suppose 4*k + l = 17*k. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**3 - 7*v**2 + 4*v - 9. Let s(q) = -18*q**3 + 30*q**2 - 17*q + 38. What is 26*h(n) + 6*s(n)?\nAnswer: -4*n**3 - 2*n**2 + 2*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(275) - (-5 + -1*sqrt(11))**2) + (sqrt(275))**2 + 0 + (2*sqrt(88) + sqrt(88) - sqrt(88))\/sqrt(8).\nAnswer: -3*sqrt(11) + 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55928 + 55932. Let z be (6\/40)\/((-4)\/(-90)). What is the third biggest value in m, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 j when three letters picked without replacement from jdjddjdjjdjjdjkdd?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*q + 4 + 5)*(-1655*q**2 + 1246*q**2 - 1432*q**2) to n + f*q + w*q**2 + g*q**3 and give g.\nAnswer: 3682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5005 or 5001?\nAnswer: 5001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (40*b**2 + 396*b - 396*b)*(3 - 4 - 1)*(-2 + 3 - 2) as w*b + f*b**2 + y and give f.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 59 = -21. Let v be b\/10*(-35)\/(-14). Solve -2*l = l + 12, -v*j + 12 = -l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13580 and 230?\nAnswer: 312340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbgb when four letters picked without replacement from czjbuuuggucubczuc?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -17, 37.\nAnswer: -17, -5, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012555 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 12. What is u(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -75858, 2, -5 in decreasing order.\nAnswer: 2, -1, -5, -75858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -10, 9, 0 in descending order.\nAnswer: 15, 9, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43993038035 take away 138?\nAnswer: 43993037897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -38, -2903, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306326906.\nAnswer: 2, 241, 635533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3 + 0 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, 12, -1, -32, -87, -172, -293, -456?\n\"Answer: -y**3 + 6*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34698711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -32. What is the smallest common multiple of d and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 254676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, x: 4, z: 3, f: 3}. What is prob of picking 1 r, 1 x, and 2 z?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 21*o = -30. Suppose 165 = -n + 6*n. Suppose -o*s - n = -199. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23550 rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*f - 3, 0 = 3*v + 4*f - 27 + 6. Let g = v + -1. Suppose -g*q - q = -111. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/98*(13 + 86) and -43\/77.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2. Let z(v) = 25*v + 10. Let y = 135 - 140. Let h(r) = y*n(r) + z(r). Let o(b) = 6*b**2 - 4*b**2 + 0*b**2 - 5*b**2. Give h(o(l)).\nAnswer: -75*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 12\/4)\/(4 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(8\/9)\/s)\/s*s**3 assuming s is positive.\nAnswer: s**(17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-1*sqrt(3500) + sqrt(3500))*-5 + sqrt(3500)))\/(sqrt(84)\/sqrt(432) + 1*sqrt(63)).\nAnswer: -360*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4378951, 8757861, 13136773, 17515687?\n\"Answer: c**2 + 4378907*c + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27759*n**3*s**2*t - n**3*s*t - 6*n**3*t - 7*n**2*s**2*t + 52*n**2*s*t + 434*n*s**2*t - 2*s**2*t wrt n.\nAnswer: -166554*s**2*t - 6*s*t - 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 13*t**7\/210 - 19*t**3\/6 - 3*t**2\/2 + 29. Let g(z) be the second derivative of m(z). Differentiate g(i) wrt i.\nAnswer: 52*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1192526, -2385137, -3577748, -4770359, -5962970, -7155581?\n\"Answer: -1192611*i + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-14\/5)*h**(5\/2))\/(h*h\/(h\/(h*h**13\/h*h))*h*h**(-15)\/h) assuming h is positive.\nAnswer: h**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -2037*c**5\/20 - c**4\/12 + 4*c**3\/3 + 9*c**2. Let h be p(6). What is h rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15642.\nAnswer: 2, 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19612*g**4 - 12705*g**2 wrt g?\nAnswer: 470688*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -17, -92, -219, -410, -677?\nAnswer: -1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 28574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1132613, 2265257, 3397933, 4530641?\n\"Answer: 16*l**2 + 1132596*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/4)\/(6\/(-4)). What is the units digit of (-184)\/(-12) - p\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:13 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 6, 2, -23, -66, -4 in descending order.\nAnswer: 6, 2, -4, -7, -23, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/(-14) - (-4)\/(-14). Let a = -33 + 35. Suppose 2*v + 9 = s*r - 1, -a*r = -v - 10. Solve x + 3 + 2 = v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from {s: 15, v: 4}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 191 - 191. Suppose -37*p + 41*p - 528 = u. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(242) + sqrt(242)*1) - sqrt(242) - (2 + sqrt(242))*3)**2.\nAnswer: 264*sqrt(2) + 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.3 + -12. Let z = k + 0.67. Let a = -0.37 + z. Round a to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, x: 2, m: 4, b: 3, r: 1}. What is prob of picking 2 x, 1 e, and 1 m?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 3, a: 16}. What is prob of sequence qqz?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h - 5*h)*(-4 + 656*h - 17 - 691*h).\nAnswer: 70*h**2 + 42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*a - 5*a. Let o be -2 + 1 - -4 - 1166\/374. Let y = 15 + -46\/3. What is the nearest to a in o, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnznjnjzjzznznjzznnz. Give prob of sequence znj.\nAnswer: 32\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -15055000 to the nearest one hundred thousand.\nAnswer: -15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 7:15 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 47 - (-23 + 5) - 13) + 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**3 - 57*c**2 - 9*c - 15. Calculate a(10).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 56, -113, -5\/3, -5?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -68814.93?\nAnswer: -68810.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 413 and 98.\nAnswer: 5782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(3) + sqrt(9)\/sqrt(3)) + sqrt(7) + 4 + (2*sqrt(1008) + 5 - sqrt(1008))**2.\nAnswer: 243*sqrt(7)\/2 + 1037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 4*u**6\/45 - 32*u**5\/75 - 7*u**4\/30 + 86*u**3\/45 + 13*u**2\/5 + 6*u\/5 - 456. Determine t so that q(t) = 0.\nAnswer: -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r - r - 6*r)*(6 + 11 - 7) - 4*r + 4*r - r.\nAnswer: -151*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20472 + 36900. Is t a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.3 + -22. Is -1.07 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 147.512 and 0.11.\nAnswer: 16.22632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14\/13 - 96\/65. Let w be 2*59\/(-8) - 3\/12. Let k be w\/(-20) - ((-65)\/76)\/(-1). Which is the nearest to j? (a) -0.4 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.06 + -0.06. Let d = -2 + 4. Let i = -1.9 + d. What is the closest to i in -0.3, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 24. Suppose -z*m + 7 = 1. Calculate the remainder when 11 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -306463 > -306495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, y: 6, g: 9}. Give prob of picking 3 g.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4779 is divided by 2365?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*p. Let x(a) = -6*a - 2*a**2 + 4 + 814*a**3 + a - 3*a**p. Let b be x(4). Round b to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 352*m - 541 + 282 + 963 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81 (base 15) to base 14.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12786, 4, 1, -34, 2, -4 in ascending order.\nAnswer: -34, -4, 1, 2, 4, 12786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 1, d: 1, h: 3, b: 1}. What is prob of sequence qi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 7*x + 12. Give a(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + -71. Suppose 0*s + 2*s = 5*o - 3, -3*s + 21 = o. Suppose -3*t + 3*u = -s*t + 54, t - 36 = q*u. What is the remainder when 82 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79027 + -79026.41779. What is m rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5121172, -5121177, -5121182, -5121187, -5121192, -5121197?\nAnswer: -5121202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 3 - 3 + (-n + 0 + 0)*(4 - 6 - 1)*(-5 + 5 + 1) to q*n + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6735*q. Let p(m) = 11*m. Determine y(p(u)).\nAnswer: 74085*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + l**2 - 23*l + 4. Let m be h(-5). Let t be 9\/42*(-77)\/22*2. Which is the smallest value? (a) -2 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - -1)\/(3\/33). Let q be 2\/(-11) + 4634\/i. Let w = q + -23. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*d**2 - 44*d + 44*d + d**3 + (2 + 2*d**2 - 2)*(-d - 2*d - 4*d) - 2*d**3 - 2 + 2 to v*d + l + w*d**2 + h*d**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/8*8\/40*-12. Suppose 2*v = 4 - g, l + v = 31846. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddtddtdt. Give prob of sequence ddtt.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**(-2\/35)*(s*(((((s*s**(-2\/13))\/s)\/s*s*s)\/s)\/s)\/s*s*s*s)\/s**(3\/5)*(s*s**(-1\/4))**30\/((s**(2\/19)\/s)\/s**(2\/3)) assuming s is positive.\nAnswer: s**(1311221\/51870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 6 - 3)*(-2*j + 3 - 3) + 1 - j - 1 + (4*j - 2*j - j)*(-1 + 1 + 1) - 4*j + 5*j - 3*j - 2*j + j - j - 2 + 2 + j.\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -28743 (base 16) to base 10\nAnswer: -165699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6280560 is divided by 867.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 17*v + 9. What is k(7)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503 - 3368 = -5*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/4 + -1*28\/7. Determine k, given that 2 + b*k**2 - 2*k = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -10, -12, -12, -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016303091 to 6 dps.\nAnswer: -0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from yccyx.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2462 - 2446. Which is the third smallest value? (a) p (b) -0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2 = 134*i - 135*i, i + 2*f = 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 18. Which is smaller: s or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000281095693 rounded to seven decimal places?\nAnswer: 0.0002811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*(l\/l**(1\/3)*l)\/l*l)*l)\/l**(3\/2))\/(l**(2\/49)\/l**4) assuming l is positive.\nAnswer: l**(821\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + 25. Let k = -47 + o. Let f be 10\/45 - (-68)\/k. What is the greatest common factor of f and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - l - 5. Suppose -385 = -4*m - 5*j - 395, -2*j = -4. Let a(y) = y**2 + y + 6. What is m*a(b) - 6*z(b)?\nAnswer: b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 26) + (25 - 0 - 24)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3250273 is divided by 755?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*l + 2 - 48*l - 7 + 2*l + 4*l - 3*l + (0 + 2*l + 0)*(5 - 3 - 1))*(5*l - 16 + 16).\nAnswer: 15*l**2 - 25*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/6*(-18)\/(-10))\/(((-10035)\/(-600))\/223)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42959387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 474, 916, 1356, 1794?\nAnswer: 2230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 7*b + 3*b)*(3*b - 2*b + 0*b) + 22*b**2 + 1369 - 1369 - 2*b**2 - 2 + 2.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2 + 6*p - 4. Let u(l) = 14*l**2 - 17*l + 11. Suppose o + 42 - 38 = 0. Let y(n) = o*u(n) - 11*b(n). Let r be y(2). Solve -3*v - 3 - 6 = r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnvsvvvvsvnvnnvsene. What is prob of sequence evs?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 1. Let m(t) = -6*t + 3. Let b be 0 - 20\/4 - (2 - -155). Let x = -167 - b. Determine x*c(v) - m(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4317242?\nAnswer: 2, 2158621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001723202829 rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7047287\/6 at most 1174548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -159*n*v*z - n*v + 2*v*z + 25*v wrt z?\nAnswer: -159*n*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -692612 + 692607.244272. Let l = 0.544402 - i. Let o = 5.3 - l. What is o rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933813362?\nAnswer: 2, 523, 892747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10576 + -10580. What is the third biggest value in -1\/4, p, 14, 4, -7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 6*l - 12. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28897444 divided by -37?\nAnswer: -781012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13879 times -1.8784?\nAnswer: 26070.3136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-95)\/15)\/(2 + (-2975)\/1488). Let a = 2294 + w. What is a rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.9.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 496113\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-430)\/15)\/((-2)\/3). Suppose 4*c = -3*o + 47, 2*o - 5*c + 4*c - 13 = 0. Let i = v - o. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 0*h + 8. Let g be 33384008\/(-52) + (-2)\/(-13). Let y be (g\/9)\/h*480. Round y to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 578260697 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2528060 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 6*z - 156. Calculate the remainder when z\/(-6)*4 + -1 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 2*g - 5, 616*g + 2*h - 18 = 1237*g - 625*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 451*g + 2713. Let s be h(-6). Suppose -121 - 19 = -4*r. Calculate the highest common factor of r and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1. Let w(x) = x - 2. Let n be (-52)\/(-12) - 2\/6. Suppose 0 = -4*i + d + 8, i + 2*i - 13 = -d. Suppose 2*u + i = 5. Give n*c(z) + u*w(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 30 = 3*r. Let b be (2 - 1)\/((-5)\/r). What is the second derivative of -2*c**4 - c + 0*c**3 + 0*c**b wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 42\/205?\nAnswer: 42\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 151085 and 1005.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(3*-1*sqrt(3) + sqrt(3)).\nAnswer: -2*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 843*-0.1\nAnswer: -84.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -39*f**4\/4 + 73*f**2\/2 + 7168*f + 2734. Differentiate t(m) wrt m.\nAnswer: -117*m**2 + 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y - 5 + 1\/2*y**2 + 1\/2*y**4 - y**3. Let j be g(2). Solve j = x - 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2394)\/(-247) + 12*(-4)\/(-156). Which is the closest to -2? (a) -2 (b) i (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -935*u + 465*u + 471*u - 8, -19*u - 12 = 4*a - 119 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15634 + 9?\nAnswer: -15625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(3\/4)*j*j)*j\/(j**49*j))\/((j\/(j*j**(1\/22)\/j))\/j)**(-16\/5) assuming j is positive.\nAnswer: j**(-11197\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 18 = 4*w, 3*l - 12 - 1 = w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7116.\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3651655 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 560 divide 32511360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 30 = 2*d - 5*f, f = 2*d - 13. Suppose 0 = -15*q + d*q + 32. Calculate the least common multiple of 5 and 428\/112*4 - q\/14.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-30)\/(-1) + 3)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - ((11 - 17) + 11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/922 and -125\/24?\nAnswer: 11064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 22*v**2 + 24*v + 27. Calculate h(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 1. Let p(g) = -2*g - 3 + 3*g - 6*g - 9 + 4. Give -24*a(x) - 3*p(x).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + 2*k)*(4*k**4 - k**4 - k**4 + (4*k + 8*k - 4*k)*(k**3 + k**3 - 4*k**3) - 2*k**4 - k**4 + 5*k**4).\nAnswer: -24*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 - 92. Solve u = -2*a - f + 1 + 4, 4*f = -12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(1 - (-10)\/(-6)). Suppose -d*o - 640 = -u + 1612, o + 742 = -4*u. What is o rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117 + -9. Let u = q - -884\/7. Suppose -4*j = 5*i + j + 15, 4*j = 5*i + 15. Sort u, 0.1, i in decreasing order.\nAnswer: u, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5273775, 5273806, 5273837?\nAnswer: 5273868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2170 + 2560. What is the highest common divisor of t and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5280.95 micrometers to meters.\nAnswer: 0.00528095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/20 and -11\/16716014.\nAnswer: 167160140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -107*b**3 - 4*b**2 + 4*b + 1868805 with respect to b.\nAnswer: -321*b**2 - 8*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/(-7) - -300 - 2. Let z = a + -284. What is the highest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.54854 nanograms to micrograms.\nAnswer: 0.05554854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y = -22*y + 54. Calculate the remainder when 68 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*(-9)\/4455)\/(1\/(-9)). Let y = -63\/55 - r. What is the nearest to -1 in y, 1\/3, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 287 - 562. What is the common denominator of (187\/a)\/(2\/5) and 25\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29105 by -18.\nAnswer: -29105\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 12 = 6*z. Suppose -4*o - 5*l + 8 = -z, o - 5*l = 15. Solve 13 = 5*p - 2*q, -4 = 3*p + o*q - 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 414623?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(8\/(-12)*3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (2\/1)\/6. Which is the nearest to u? (a) -3 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322088, 644195, 966302?\nAnswer: 1288409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 4*a - 8. Let n be i(6). Suppose -2*q + n*q = 44. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, o: 2, k: 10, u: 4}. Give prob of sequence ucu.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/81 and -47\/231.\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4.6 + 1923\nAnswer: 1918.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24390206 + -512414050\/21. Let i = k - -10460. What is the common denominator of i and -25\/69?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-4*2) - 2366622\/(-36). Suppose 15*u + 23*u - f = 0. What are the prime factors of u?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 6*u - 5. Let y = -54 - -56. Let g be r(y). Solve 13 = i + 5*n, 14 = g*i + 5*n + 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-3 + 4 + 0). Let s be b + -4*1*(-4 - -3). Let j(l) = -3 - 2 + s*l + 5. Let h(p) = -3*p**2. Determine h(j(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10a7 - 2?\nAnswer: 10a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*x + 190, -3*m - 5*x + 69 - 350 = 0. Let v = m + 92. Solve -3 = 4*w + v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 280 = 2*r, 3*l - 6 = -0*l. Let z be (0 + 1)*(r + -6). Let a(x) = -z*x + 135*x - x**2. Let q(v) = 4*v**2. Give a(q(b)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 2*k + 31. Let d = -15 + 15. Calculate the remainder when 92 is divided by m(d).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 33*t = 34*t + 66, -2*a - 6 = -4*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1772380*j**3 + 1772360*j**3 - 3544736*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 51418968 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/4 - 1233*r**2\/4 - 384351*r\/4 - 2630383\/4.\nAnswer: -(r + 7)*(r + 613)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 29. Let g be (1 + -3)\/2*-2. Suppose 0 = -5*c + g*c + 27. What is the highest common divisor of i and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 2*o**2 + 6*o - 2. What is the remainder when d(-5) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.875045 grams in milligrams?\nAnswer: 875.045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 786989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*k - 5220 = 4*k for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -51321.45 * 15\nAnswer: -769821.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 5. Suppose 2*t + 3*w = -7, 0 = -2*t + w + 4*w + 1. Let p(y) = 5. Let g(c) = -56. Let i(z) = 2*g(z) + 22*p(z). Determine t*l(m) + 5*i(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2943\/56 + 368\/7. Calculate the common denominator of 35\/2 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01629936 to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y = -4, 2*y = 2*a - 130. Let d = -65 + a. Let j = d + 9. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 4) + 18 + 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 181068 and 2844.\nAnswer: 543204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 13. Let k(o) = -7*o**2 + 5*o - 3. Let v(d) = 22*d**2 - 16*d + 10. Calculate n*k(g) + 5*v(g).\nAnswer: -2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 56.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -295*k - 12. Let p(h) = 152*h + 5. Give 2*n(v) + 5*p(v).\nAnswer: 170*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 + 5*m - 6. Let t be o(-6). Let i be 12\/t*(2 - 6). What is the third biggest value in i, 2\/5, -1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 74*h**3 - 71*h**3 - 32*h**3 - 1 - 4*h + 217*h**3 - h to the form f*h**3 + l*h + t + b*h**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 62325*i - 3380130.\nAnswer: 5*(i - 12519)*(i + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s - 4*s + 2*s)*(2*s - 3*s + 2*s) + 0 - 4423*s**2 + 0 + 1924*s**2 to z*s**2 + v*s + a and give z.\nAnswer: -2497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-12)*-13*26\/(-169).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4 + 4065*z**3 + 16180*z**2 = 0. What is z?\nAnswer: -809, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8811 + 8815.909. Let h = j + -0.009. Let p = -5.06 + h. What is p rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12210.57*210.\nAnswer: 2564219.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 s, and 1 x when three letters picked without replacement from bxsbsbsbsbbbsbbvsvs?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 804733964?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14969025 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: Which is the biggest value? (a) -1 (b) 14.9 (c) 2\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76.04 * 0.5.\nAnswer: 38.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-21) + 8\/126. Let r = 0.87 + -0.82. Which is the nearest to -1? (a) i (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u**3 + 21*u - 2*u**3 + 10*u**3 to the form f + v*u**2 + a*u**3 + z*u and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.442198 * 1.\nAnswer: -0.442198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5*l + 3*l - 2 - 11 + 6*l + 11 + l - l + 2*l + (1 - 2 - 1)*(-3*l + l + l) + 5*l - 4*l + 0*l in the form b*l + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - u**2 - 2*u**2)*(-723 - 235 - 43)*(-2 + 0 + 3 - 2 + 6 - 2 + (-4 + 1 - 1)*(-2 - 4 + 4)).\nAnswer: -11011*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*s - 221 + 56, s - 5*k = 20. Calculate the remainder when 417 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b + g = 5*g, g - 7*g = -3*b - 2*g. Let b - 2\/5*c**2 + 8\/5*c = 0. What is c?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1\/130 (b) 3 (c) -6\/19 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 - -106. Let o = 55 - z. Let s = o + 0.9979. Round s to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.478 + -0.278. Let j = z - 27. Let f = -2.200004 + j. What is f rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*((w\/w**0)\/w)\/w)**(-1\/25))**(-9))**(-29) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14*p = -9. Let h(o) = -o - 1. Let m be h(p). Solve m = x + x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.5 + 1.018923324.\nAnswer: -10.481076676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382586 is divided by 382519.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -14490266192620.1.\nAnswer: -14490266192621.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/2, 24, 2\/19?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 2:09 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 12:26 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 706.9999468 + -707. What is n rounded to six decimal places?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 3*c**2 - 5*c**2 + (5*c - 6*c - c)*(c + 1 - 1).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 21*v - 310. Let a be d(15). Solve 2*o + 3*o + 2*q = 29, a*q = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -488?\nAnswer: -488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -36. Let q be ((-16)\/(-4) - 7) + 54*n. Let r = 42 - 25. Calculate the highest common divisor of r and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 4*v - 2. Suppose -i - 5*s = 19, -17 = 2*i + 2*s + s. What is b(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6493751557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.11 - 14.11. Let d = -14.7 - q. Let f = d - -0.51. What is f rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50\/27 - 173\/108. Let y(h) be the first derivative of 0*h**2 - 9 + h + 0*h**3 + x*h**4. What is y(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 2*i**2 + 2*i**2)*(2 - 2 - i)*(-i**2 - 2*i**2 + i**2 + (2 - 2 + 2*i)*(-4*i + 7*i + i)).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -f1d (base 16) to base 12\nAnswer: -22a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23 + 11\/((-55)\/(-10)). Suppose -22*i = -27*i + w. Sort i, 6, 0 in descending order.\nAnswer: 6, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) + 4\/(-12). Is -1 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 5, -461?\nAnswer: -461","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 d when four letters picked without replacement from ddddddddrddrdddddddd.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyyy when four letters picked without replacement from {q: 3, y: 4, v: 6, t: 4}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4644563103.\nAnswer: 3, 8527, 60521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**5\/15 - 7*o**4\/6 - 16*o**3\/3 + 18*o**2. Factor n(k).\nAnswer: 4*(k - 8)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33016*w + 42 - 42.\nAnswer: 33016*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897357073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/21, 2\/11, 4 in increasing order.\nAnswer: -2, 2\/21, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 - 8) + 11801\/(-1872). Let i = 1\/624 - y. Find the common denominator of i and 5\/66.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1\/2, 5913?\nAnswer: 5913","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/(-5) - (-31)\/155. Let x be 10\/k*(4 - 12). Calculate the highest common factor of x and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 + 2*a - 2*a)*(-1 - 3 + 2) - 44 + 2*a + 12*a**3 + 44.\nAnswer: 8*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3474072*q**2 + 1245298*q + 1 wrt q.\nAnswer: -6948144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5, 2\/13, -791 in descending order.\nAnswer: 2\/13, -0.3, -5, -791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1755 and 270?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/9 - 2954*q**2\/9 + 7029488*q\/3 - 2030047112 = 0. What is q?\nAnswer: -4369, 1446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 13*q**2 - 2*q**2 - 8*q**2 - 18*q**2 - 5*q + 9. Let w(o) = -412*o - 5 - 413*o + 8*o**2 + 828*o. Give 3*k(x) + 5*w(x).\nAnswer: -5*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 74193098 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 0)*(12 + -1). Let f = -43\/2 + r. Let n = -1286.1 + 1286. What is the second biggest value in n, f, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 69046\/69 - (-2)\/(-3). Suppose -4*l + 15 = -5, -u = -5*m + 3*l. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 263237581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than -2\/971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/9*12\/8. Let o = 9 + s. Let r be (o\/2 - 1)\/(3\/6). Solve r = 2*i - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 + -1120411?\nAnswer: -1120313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7056) + sqrt(7056)*-2)*3)\/((sqrt(448) - -2*sqrt(448))*6).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one fifths of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 - (11 + -4 - 2158)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 3. Give a(15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 85 = -75. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9}. Give prob of picking 2 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 23995610779797.\nAnswer: 23995610779793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = -9. Suppose 2 - 2*z + z + 2*z**2 - q*z = 0. What is z?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2465 - 1564. Is 63 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111929 times -2.7\nAnswer: 302208.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*a - 0*a. Let s = -3 + a. Let j(d) = -5*d**3 + d**2 + d. Let f be j(s). Let k(w) = -w**2 + 2*w + 3. Give k(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 977 divide 4636788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1468 + 1490 - p**4 + p - 6*p**2 + 2*p**2 in the form u*p**3 + c*p**2 + r + l*p + w*p**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 11*j + 247. Is (j\/(-19))\/((-158)\/53 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g + 0*g)*((-2*g**2 - 78*g + 78*g)*(1 - 5 + 0)*(-6 - 1 + 0) + 3*g**2 + 2*g**2 - 6*g**2).\nAnswer: -114*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**4 - 3*p**3 + 2*p**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 - -0.1. Let c = -7 + y. Let s = 0.19 + 0.31. Sort c, s, 2\/3 in descending order.\nAnswer: 2\/3, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-5))\/((-39)\/15 + 3). Calculate the lowest common multiple of (0 + (-6)\/15)\/(m\/(-80)) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16886225*a**2*q + 322*a*q - 8967*q wrt a?\nAnswer: -33772450*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 400205?\nAnswer: 400200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 4)*(-11 - 61*g + 153*g - 45*g)*(0 + 0 + 2*g**2).\nAnswer: -376*g**3 + 88*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 1:39 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -51*c - 144. Let j be u(-8). Calculate the highest common factor of j and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15816.\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**3 - 3*b**2 + 6*b - 4. Let c(i) = -6*i**2 - 37*i - 9*i**2 + 25*i**2 + 3 + 33*i - 8*i**2 - 4*i**3. Determine -7*c(u) - 5*p(u).\nAnswer: -2*u**3 + u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -6*y + 9*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/12 + (-52)\/48. Which is the third smallest value? (a) -23 (b) -2 (c) -1 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 + 7*g. What is f(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -6) + (4 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - -2*18\/(-4). Let s = o + 38. Solve 0 = w - 2*d, 0 = -2*w - 3*w - 4*d + s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*g = -528. Let l be g\/6*3\/(-2). Suppose 4*a + 2*f - f - l = 0, -4*a + f = -39. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 853 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: What is the units digit of 6740266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 6*d - 8 + 7*d + 7*d**2 + 4*d**3 - 4*d**4 + 5*d**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 + 4*u**2 + 5*u**2 - 1 - 2*u. Let x be d(-1). Let r be 4\/x - (-19)\/7. Solve r*c = -0*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/361 and -91\/285.\nAnswer: 5415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/538 in -16, -4, 0.1, -5, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -390*(-126)\/(-105)*5\/(-4). Calculate the highest common divisor of 11895 and k.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203263407 to the power of 1\/3, to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1367501.58 to the nearest 100.\nAnswer: -1367500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*n + 0*n - 19 = 0, 2*t - 4 = 3*n. Suppose -4 + 0 = -2*u, t*u = 2*p - 60. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -485925, -485926, -485927, -485928, -485929, -485930?\nAnswer: -485931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.8271 + 1. What is d rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14112 and 610687.\nAnswer: 175877856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151\/3 + -751\/15. Is -1 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2909200 by 2078.\nAnswer: -1400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 49 = -2*g. Let v(i) = 2*i + 5. Let x be v(-5). Let z(y) = -y**3 - 6*y**2 - 6*y - 3. Let o be z(x). Solve -o*j + 1 = -g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192979 is divided by 202.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**2 - 224*j - 220 = 0.\nAnswer: -55, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 plus -116919735?\nAnswer: -116919735.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 11:36 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/36943, -1, 1 in decreasing order.\nAnswer: 1, -1\/36943, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + -0.3. Let k = 8\/31 + -164\/155. Let s = k + 11\/20. What is the closest to s in 1, 1\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17397875?\nAnswer: 5, 11, 12653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.06, 1.1, 1, 1\/4?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 12*h + 2. Suppose -129*n + 356 + 289 = 0. What is b(n)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*o - 131*o + 855 = 203*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10306 - -31236. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, -38, 1\/2, 2.3, 1\/9, -3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85.1 - -82. Let q = w + 2.44. What is q rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -0.5, 1\/4, 0, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 104.278859?\nAnswer: 7.29952013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lri when three letters picked without replacement from irmmrmmmrrmimmmrrmlr.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**5\/10 + k**4 + 12*k**3\/5 + k**2\/5 - 23*k\/10 - 6\/5 = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 100?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*m**3 + 2*m**2 + 0*m + 0*m - 66*m**3 - 870 + 905 to the form c*m + o + y*m**3 + t*m**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1364 and 7667836.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-35)\/(-5) + 4 + -12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(72))\/sqrt(12))\/((sqrt(18)*4 - sqrt(18))\/sqrt(9)) + 5.\nAnswer: -sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -1, 2, -2 in descending order.\nAnswer: 49, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/19)\/(p\/(p*p**(-1\/8)\/p)*p))**(-48))**(-2\/87) assuming p is positive.\nAnswer: p**(-1356\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 582 by 291.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -73156 and 0.1.\nAnswer: -73155.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 699*h**2\/7 + 77757*h\/7 + 244620\/7.\nAnswer: 3*(h + 108)*(233*h + 755)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 9 - 17 - 7*r + 0*r. Let s be (7 - 5)*(1 + 1). Suppose 0 = -s*v + 9*v + 35. Calculate b(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 638 and 29.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9600)\/(-680) + (-2)\/17. Is (-4 - 7\/h)*-74 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 - 453360*p**3 - 906732*p**2 - 453368*p.\nAnswer: 4*p*(p - 113342)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 2. Suppose 0 = -5*g + 6*g - 7. Does 21 divide f(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqg when three letters picked without replacement from gkgskkkgkggsgqksk?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:50 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/95616 and -51\/16?\nAnswer: 95616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*l + 756 = 41*f, 5*f - l - 21 = 69 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004615391691 rounded to 6 decimal places?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.113285 to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n - 287 = -15*n. Suppose n*p = 14*p - 910. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - y**3 - y - 6*y**2 + 14 + 11*y**3.\nAnswer: 10*y**3 - 4*y**2 - y + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**3\/4 - 879*a**2\/4 - 1105*a = 0?\nAnswer: -5, 0, 884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/8 (c) 10\/9 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/21 - 12182*v\/3 + 85268\/7 = 0 for v.\nAnswer: 3, 42634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (8 - 660\/42)*7*(-201)\/6 and 4824?\nAnswer: 14472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37760 divided by 9440\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -2\/9, 1\/106, 2.61?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -1, -29, -3 in decreasing order.\nAnswer: -1, -2, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 + 1 = -2*m, 0 = m + d + 1. Suppose m*a = -3 + 5. Calculate the remainder when 2 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -16.852.\nAnswer: -12.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 847*h + 584*h - 127*h.\nAnswer: 1304*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322.9988nm to millimeters.\nAnswer: 0.0003229988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + 3*sqrt(300) + sqrt(300)))**2 + (sqrt(147) + ((sqrt(147) + 0)*6 - sqrt(147)) + 4)**2.\nAnswer: -304*sqrt(3) + 24524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 2)*0\/4. Let h(l) = l**2 - l - 15. Let m be h(a). Let u be (-1)\/(-10)*28*(-5)\/1. Which is greater: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 3.939\nAnswer: 15.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b12 + 2c16?\nAnswer: 6828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508 - 516 = 8*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1030829229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 402 + 117. Let r = 301 + l. What is the highest common divisor of 256 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*t - 5*g + 6, -3*t - 15*g + 116 = 80 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-87 - 16 + 19)*(27 + 82 - 164)*(-2 + 2 + m).\nAnswer: -9240*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-2))\/(-4 - -5). Suppose -c - 17 = -g*c. Let z = c - -29. Calculate the greatest common divisor of 96 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 16*r**2 - 30*r - 25. Let a be m(-14). Put 2, 1, 5, a in descending order.\nAnswer: 5, a, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42, -41, -40, -39, -38?\n\"Answer: u - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 4*l + 2, 2*l + 5807*j = 5808*j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) - -1*(sqrt(315) - 1*sqrt(315)))\/(-2*sqrt(225)))\/((sqrt(63)\/sqrt(3))\/sqrt(3) - -4*sqrt(77)\/sqrt(11)).\nAnswer: -sqrt(5)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 12*l + 19088 = 0. Suppose -5*r = -r - l. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 + -23. What is the greatest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/((-25)\/4))\/((-27)\/(-810)). What is the common denominator of 26\/7 and ((-2)\/t)\/((-42)\/1380)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + -3*(0 + sqrt(432)*-1 - (-4 + (sqrt(432) + 1 - sqrt(432)))))**2*-2.\nAnswer: -8288 + 2304*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46.1 - 8.1. Let h = -36 + m. Which is the biggest value? (a) -2 (b) -0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Let k(l) = 7*l - 164. Let b(r) = -4*h(r) - k(r). Let p(m) = 3*m. Calculate p(b(u)).\nAnswer: -9*u + 492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 26*w + 17. Let j(a) = -3*a**2 + 27*a - 17. Let r(v) = 4*j(v) + 5*q(v). Is r(10) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-158)\/39*-42 - 8\/52) + -7. Which is bigger: o or -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -4\/3, 2\/7 in increasing order.\nAnswer: -4, -3, -4\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*54\/1386)\/((-3)\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*b**6 - 909*b**4 + 170474*b**2 wrt b?\nAnswer: -3240*b**3 - 21816*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520a9 (base 15) to base 13.\nAnswer: 91488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6)\/(3\/9). Let t be (-13 - l) + 2\/1. Let d = t + 19. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45078?\nAnswer: 2, 3, 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33002623 (base 7) to base 11.\nAnswer: -165a164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -65*s**2 + 2*s. Let v(t) = 32*t. What is y(v(j))?\nAnswer: -66560*j**2 + 64*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 114186 times -11\nAnswer: -1256046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1076 + 1813. What is the greatest common factor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5*y + 18 = -o, 0 = 4*o - 5*y + 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.93 - 0.93. Let r = -5.3 - -5. Which is the second biggest value? (a) r (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**4 - 51317*l**2 - 26465*l?\nAnswer: -24*l**2 - 102634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 46, 130, 358, 802, 1534, 2626?\n\"Answer: 12*i**3 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Suppose g + y*g + 7 = -4*b, -3*b = -2*g - 16. Let v = -1 - 1. Sort 4, b, v in decreasing order.\nAnswer: 4, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -33) + (-2 - (0 - -1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1553 - 10*m + 16*m**4 - 5*m**4 + 2420 - 18*m - m**2 - 5*m wrt m?\nAnswer: 44*m**3 - 2*m - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-1\/8)))**(18\/13)\/(i**(-15\/2)\/(i**(-17)*i)) assuming i is positive.\nAnswer: i**(-451\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18824, -18564, -17814, -16328, -13860?\n\"Answer: 41*j**3 - j**2 - 24*j - 18840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 - -42. Let h = 17.2 + z. Which is the closest to -0.2? (a) -0.02 (b) -1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/9)\/((-7)\/21)*(-28)\/8?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(539)*-1.\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/27 + (-5)\/45. Solve -3*u + 9 + 3 = c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {o: 5, e: 1, t: 1, m: 3, b: 2, q: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2816 by 1070.\nAnswer: 1408\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3}. What is prob of sequence rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 152265538465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 6 - (5 - (4 - (6 - 1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(162) + (sqrt(162)*-1 - sqrt(162))**2.\nAnswer: 9*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1845*a**2 - 107305*a + 17110.\nAnswer: 5*(a - 58)*(369*a - 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 538361?\nAnswer: 538359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 43179836.\nAnswer: 3\/10794959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.674238ug to grams.\nAnswer: 0.000000674238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 54, 121, 188, 255, 322?\n\"Answer: 67*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 837.96 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-3)\/(6\/8). Suppose -v + 2*v + 3*r = 1, 3*v + 4*r = 8. Calculate the remainder when 19 is divided by (-64)\/f + v\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4461 + -4462. Sort -20, c, -26.\nAnswer: -26, -20, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 1, -4.4, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 10. Let f = m - 6.9. Let r = 8 + -6. What is the nearest to f in -2, 5\/4, r?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435546.\nAnswer: 2, 3, 24197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 - 15*c + 7. Let l(n) = 8*n + 2. Suppose 5*u + 0*u - 5 = 0. Let z be l(u). Is i(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23495050 and 1460?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 - 40*s**3 - 216*s**2 - 288*s.\nAnswer: -2*s*(s + 2)*(s + 6)*(s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000 - -330?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0668932573 rounded to 3 decimal places?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 11*f**2 + 10*f + 17. Let v be d(-11). Let u = 166 + v. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6860 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3353?\nAnswer: 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.4 (c) 0.2 (d) -2 (e) -87.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228 divided by -4.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77597 is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(19) - (sqrt(19) + -3)) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -357\/25 - -6589\/50. Let i = b + -94. Find the common denominator of 107\/20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 61331?\nAnswer: 61332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 6:50 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011275165 to four dps.\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v = -3*u - 271, 533 = 2*v + 3*u. Let z be (-6)\/(-9) - v\/(-12). Solve -2*f + 7*f = -3*i + z, f = 5*i - 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.20385578 - 0.20369. What is p rounded to 6 decimal places?\nAnswer: 0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from sxxsxxxsxoxxxxxoxsxo?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11\/(-2))\/(2\/8). Let h be -5 + p*(4 + -9). What is the greatest common factor of 30 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 22 = -8*z. Suppose j = 4*n + z, -4*n + 26 = 4*j - 2*n. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4702, -9404, -14106, -18808, -23510, -28212?\n\"Answer: -4702*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 1\/3, -33, 32\/23 in descending order.\nAnswer: 4, 32\/23, 1\/3, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1739461 - -1452.157\nAnswer: 1740913.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (3 - 2))\/(3\/3). Let q(m) = 12*m - 1 + w - 6*m. Let o(j) = 1. Let v(n) = n - 3. Let x(l) = -6*o(l) - 2*v(l). What is q(x(s))?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.531 + -6.531. Let g be 9\/21*2\/3. What is the second biggest value in 0.5, k, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*o**3 + 7*o**3 - 4*o**3 + 8*o + 2*o wrt o?\nAnswer: 102*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62720 and 125440?\nAnswer: 125440","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -861541 rounded to the nearest one thousand?\nAnswer: -862000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296 divided by -37.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 185203159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7 + 8)*(314 - 314 - 81*a).\nAnswer: -567*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -217*i**2\/2 + 113*i - 221. What is the derivative of o(t) wrt t?\nAnswer: -217","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**3 + 16\/5*b - 1\/5*b**5 + 16\/5*b**2 + 0 - 4\/5*b**4.\nAnswer: -b*(b - 2)*(b + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or -0.153?\nAnswer: -0.153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 7*w + 237 = 0. What are the prime factors of w?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u = 4*o - 18*u + 82, -u = o + 27 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + -1. Let w = -0.03 + -0.97. Let h = 31\/18 - 20\/9. What is the nearest to 0.1 in h, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3681 is divided by 761?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4*2 + 18\/(-12). Is -5 - p - (-8 - 186) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2. Let p(q) = -2*q**2 + 2*q - 376. Give p(s(j)).\nAnswer: -2*j**4 + 2*j**2 - 376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 0, -2*f - w = -2*w - 22. Suppose f*v - 13*v = -142. Calculate the remainder when v is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i - 8. Let x be (-5 - -2) + 0 - -3. Let w(b) = -3 + 1 + b + 5 + x*b. Let g(t) = 3*f(t) + 8*w(t). Let r(d) = 4*d. Determine r(g(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/18)*i)**(-29))**(1\/41) assuming i is positive.\nAnswer: i**(-551\/738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-348517.748\nAnswer: -69703.5496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 191*v - 1. Let w be u(1). What is the units digit of 2\/(-9) - w\/(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.83 + 0.07. Let q = -0.1 - s. Let l = -3\/17 - 13\/119. Sort q, l, 3.\nAnswer: q, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117502 + 26438014\/225. What is the common denominator of b and 25\/36?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4687057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.9, 3\/5, -0.083, -1\/3, -0.04, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 112713, 450760, 1014171, 1802946, 2817085?\n\"Answer: 112682*o**2 + o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88 + (-347 - -350) + 0 + 5?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-12)*-1*7\/105.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 373632 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*u**3 + 6*u - u + 2*u**3 + 2*u**3 in the form c + b*u + g*u**3 + o*u**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -153 + 2600\/17. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 33 = -3*l. Let i(f) be the first derivative of 0*f**2 + 4 + l*f + 1\/9*f**3. Determine g, given that i(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - 1120?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -213*c - 5 + 5 + 81*c**2 + 141*c wrt c.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(3 + 0 - 2)*(-11765 + 6670 + 6826)*(2*u - 4*u + 6*u).\nAnswer: -13848*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.3 in 156, -0.7, -37, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*y = 93, -z + 5*y - 51 = z. Let k = 36 + z. What is the closest to -1 in -0.3, k, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - c**3 + 8*c**3 + 7*c**3.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -5*f, d + 5*f = f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 9504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1\/2 - (-3 - (-41)\/(-2)) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14, -29, -46, -65, -86?\n\"Answer: -p**2 - 12*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48976*b**5 - 4215*b**2 wrt b.\nAnswer: 2938560*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine sixteenths of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5\/7 (b) -5.8 (c) -8\/15 (d) 5 (e) 1 (f) 32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 7. Let g be u(-3). Let t(r) = 3*r**3 + r**2 + 2*r + 10. Let q(f) = -2*f**3 - f - 5. Let y(m) = -5*q(m) - 3*t(m). List the prime factors of y(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**3 + 5836*f**2 - 58060*f + 144900 = 0.\nAnswer: 5, 1449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 + 0 = 0. Let g = 0.004 - 0.104. Which is the closest to 1? (a) g (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(13\/78).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o - 20 = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15.45 * 6\nAnswer: -92.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-62)\/8)\/(3\/(-12)). Suppose d + 14 = 5*v. Suppose 125 = -8*f + 13*f. What is the remainder when f is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 7:25 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**2 + 124*y + 4736. Give n(-23).\nAnswer: -1290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2327 - 2312.236. Let n = -2.934 + l. What is n rounded to one decimal place?\nAnswer: 11.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 98*t - 231. Let g(i) = 49*i - 114. Let y(b) = -9*g(b) + 4*k(b). Find the first derivative of y(c) wrt c.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 3, -4, -3, 18 in increasing order.\nAnswer: -18, -4, -3, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -363301 times -0.02?\nAnswer: 7266.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 3*h)*(9*h - 2*h + 27*h)*(-1 + 3 + 3*h - h) as p*h**3 + r + z*h + a*h**2 and give a.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/4*20\/(-1). Calculate the common denominator of 6\/(-14) + 19320\/(-882) - -9 and ((-26)\/(-4))\/(d\/40).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1855624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27338*v - 225539 - 440 - 129415 = 0 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**6 - s**5 - s + 1. Let a(t) = -93*t**6 + 2*t**5 - 37*t**2 + 2*t - 2. Let c(u) = -a(u) - 2*b(u). Find the third derivative of c(k) wrt k.\nAnswer: 10920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.514907um to meters.\nAnswer: 0.000003514907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309153 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/5*225\/(-90))\/(2\/4). Let j be (15\/(-14) - -1)*4. Let d = 0.9 - -0.1. What is the closest to d in -1\/11, j, l?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/3))**41*(r*r**(-1\/6))\/(r*r**(2\/15)))**(4\/5) assuming r is positive.\nAnswer: r**(4082\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13452 is divided by 448?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.786655 + 0.7552. Round x to 4 dps.\nAnswer: -0.0315","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 4:44 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.5 (b) -11\/119 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1638 or 1636?\nAnswer: 1636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.55490954 to three dps.\nAnswer: -0.555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -48 (c) 0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116\/9 - -616\/45. Let w = 136 - 277\/2. What is the second biggest value in b, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*7.1.\nAnswer: -262.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -38 (c) 2 (d) 1 (e) -4 (f) 40297\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 12:44 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 42702012\nAnswer: -1\/14234004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4*w - 36, h - 2*w - 6 = 8. Suppose -5*b = -h*b - 2. Let l(n) = -2*n**2. Let s(q) = 8*q**2 + 0*q**2 - 2 + 1. Determine b*s(f) + 7*l(f).\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 89. Suppose 0 = 5*q + z - 1326, u*z = -3*q + 581 + 217. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j*w**2*y - 8*j*w*y**3 + 3*j*y**3 - 10*w**2 + 13*y**2 wrt w.\nAnswer: -4*j*w*y - 8*j*y**3 - 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 225 = -22*f, -164 - 89 + 141 = -2*f + 2*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/16*-2*(-2)\/(-42)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.1. Which is the closest to -0.1? (a) -5 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -l + 4*f - 33, -4*l = 3*f - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**2 - 52*f + 211. Give p(6).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -65, 3, -8, -2297 in decreasing order.\nAnswer: 3, 2, -8, -65, -2297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*v - 6 = 2*z + 483*v, z + 10 = 4*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 3816 - 3847 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -7*w + 14. Suppose 0 = -0*g + 2*g + w*h, -5*h - 12 = g. Solve g*s + 6 = -3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37015 and 2937645.\nAnswer: 32314095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 38527536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5191?\nAnswer: 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1377)*-2 + 4)**2*4 + ((sqrt(1377) - -3*sqrt(1377)*2) + 3 + 1)**2.\nAnswer: -2376*sqrt(17) + 618353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = o + j, 2*o = -3*j + 14. Let u be o\/2 + 11*15\/(-10). Let p = u - -70. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20\/359 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5 - 6*b**4 + 172*b**3 - 108*b**2 - 746*b - 462 = 0. Calculate b.\nAnswer: -11, -1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2487 + 3317. What is the remainder when y is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7500 + 0?\nAnswer: -7500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 24 + 7*s**2 - s**2 + 33 + 4*s to x*s + b*s**2 + j and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**3\/2 + 17481*l**2\/2 - 12728352*l - 12737094 = 0?\nAnswer: -1, 2914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1.4, 3, 2, -193?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -3119 and -3116 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 + -57. Let d = -44 + o. What is the nearest to d in 1, -2, -2\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16501, -16251, -15829, -15235, -14469, -13531?\nAnswer: -12421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 1. Let k = -14 + 5. Let o be y(k). Calculate the common denominator of 5\/2 and o\/18*(-175)\/20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - n**2 + 6*n + 12. Let z be g(-2). Let s be 5\/3 - (-4)\/(-6). What is the highest common factor of z and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318123031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 0.03, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4916 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -222131234 (base 6) to base 7\nAnswer: -46130626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 205.76 from -10928.\nAnswer: -11133.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 391239689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 106 times -0.058\nAnswer: -6.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 86950.\nAnswer: 86946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*l - 0. Suppose m + l = -2*v - 4*m, -3*v + 5*m + 11 = 0. Is (4\/(-12))\/(v\/(-294)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*sqrt(68))\/sqrt(4).\nAnswer: -5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*m - m. Let k = 9707 + -9705. Sort m, k, 10, -3 in decreasing order.\nAnswer: 10, m, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1258608 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**5\/20 + d**4\/2 - 2*d**3\/3 + d**2\/2 + 2*d. Suppose 0*u = 5*u - 80. Calculate the remainder when u is divided by r(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -371 in -0.1, 0.03, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -96.\nAnswer: -5\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6548)\/4911)\/((-220)\/(-75)).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 84 (c) -24 (d) 0 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 2*s - 12, 2*s - 10 = 2*v - 0*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c - c)*(-601*c - 16859 + 112*c + 16859).\nAnswer: -489*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/822 and 103\/60.\nAnswer: 8220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 48388376?\nAnswer: 145165128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 7*u**2 - 2*u + 17. What is s(8)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1887, -3765, -5643, -7521, -9399?\nAnswer: -11277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -1\/9*m**2 - 53\/9*m - 322\/9 = 0?\nAnswer: -46, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*v + 4853 - 4991 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from {k: 2, h: 3, b: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3060 and 1260?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 547, -6, 10 in descending order.\nAnswer: 547, 15, 10, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8a5 (base 11) to base 7\nAnswer: -3105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/40135 and -33\/32252486.\nAnswer: 161262430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126*(-12)\/(-108))\/5.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.39832668 to 4 decimal places.\nAnswer: -0.3983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) -4 (c) -2 (d) 6\/7 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30838599 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 9. Let q be -1 - (2 + 2 - 7). Suppose 3*l = -q*i + 42, -f*l = 4*i - l - 92. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -620.9 - -621. Let k = 7 - 12. What is the second biggest value in -0.05, k, s?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 49.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000645853 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3484 - -0.9484. Which is the closest to 4? (a) 1 (b) 0.9 (c) -0.5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22\/123 - 1\/82. Put g, -16, 0.3 in descending order.\nAnswer: 0.3, g, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/95 + 124\/3135. What is the second biggest value in 3, u, 0.3, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65738, -1, 229 in ascending order.\nAnswer: -1, 229, 65738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10102022 (base 3) in base 5?\nAnswer: 34432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 15*a**2 + 6*a + 10. What is the units digit of l(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359628259.\nAnswer: 11, 123602569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 12. Let m be l(-9). Let j = 32 - m. Suppose -2*i + j + 50 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 5:03 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - ((31 - 35) + 23).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 143368 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64546193.\nAnswer: 64546193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-7 + 2)) + 14. Let q be 120\/o - 2\/(-4). Suppose q*n + 12 + 4 = 0. Put -21, n, 2 in decreasing order.\nAnswer: 2, n, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64643, -65116, -65589?\nAnswer: -66062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3583347499*w**2. Let h(c) = c**2. What is h(a(m))?\nAnswer: 12840379298589555001*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 3*p**2 + 5. Let x be b(3). Suppose -12 = -2*z - y, -x*y = -4*z + 8*z - 36. Solve 0 = k - 5*m + 16, -z*k + 16 = 5*m - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 360\/911 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 2*sqrt(17))*6 + 4)**2.\nAnswer: -48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 6740660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 73524*i + 4779067. Determine w(-65).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 9, -3, 7 in descending order.\nAnswer: 9, 7, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) 4 (c) 0.1 (d) 2\/11 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101153 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019272879 to six decimal places.\nAnswer: -0.001927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -47116*a + 141273. Determine x(3).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145*a**2 + 3 - 43*a**2 - 41*a**2 + 24*a**2 to b*a + s*a**2 + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -199*k - 1 - 3*k**3 + 4*k**3 + 225*k + 29*k**2. Is l(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*r**2*u**2 + 5*r**2*u + 537*r*u**5 - r*u - 4*r - 4*u wrt u.\nAnswer: -16*r**2 + 10740*r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 14*q - 995. Suppose -2*k + q = -3*z, 5*k - 643 = -3*z - 177. Suppose k = -0*x + 5*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*q = -192, -j - 13 = 2*q - 61. Suppose 3*y = -r - r - 4, 10 = -2*r. Suppose y*u = -u + j. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 4:14 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 609 and 489.\nAnswer: 99267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 5. Let h be o(-5). Suppose -36 = h*s + 4. Let m be 0 - s - (0 - -4). Solve -3*t + t + m = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 89*b - 94*b - 9, 4*b + r - 16 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/10*55\/22. Suppose 21 + x = -3*z - r, -z - 7 = r. Let o(l) = -l**3 - 7*l**2 + 8*l + 3. Is o(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (39\/(-6)*-2)\/(18\/252). Suppose -193*h + 473 = -z*h. Calculate the remainder when 119 is divided by h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-162)*((-10)\/35)\/((-8)\/(-804)) and -143\/126.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 45.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -503 * -7.\nAnswer: 3521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.693 + -10.693. What is the second smallest value in u, -1\/2, 0, -372?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -436061*d**5 + 5*d**3 - 46*d**2 - 56*d + 1390 wrt d?\nAnswer: -26163660*d**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvdv when four letters picked without replacement from mndymvdvmmmivdd.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 28\/(-8))*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 193455031\/1172 - 165064. Calculate the common denominator of -33\/5860 and y.\nAnswer: 5860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 22412443.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 17 + 18)*(2 + 1 - 5)*(2 - 2*f - 2*f**2 + 0*f + 0*f).\nAnswer: 80*f**2 + 80*f - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -214, -403, -592, -781?\n\"Answer: -189*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4)*t)**(-12\/11)\/(t\/(t\/(t\/(t*t\/((t\/t**(2\/7))\/t)))))**23)\/(t**4*((t\/(t*t**3\/t))\/t)\/t*t*t**(-1)*t*t**(3\/2)) assuming t is positive.\nAnswer: t**(4043\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10111 + -3?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22892910 rounded to the nearest ten thousand?\nAnswer: 22890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 10:47 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 65.2, 0, -25, 10 in increasing order.\nAnswer: -25, 0, 10, 65.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 3*g**2 - 3*g - 3. Let h be x(-3). What is the greatest common divisor of h and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*w + 50 = -92*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 496683091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -131, 0 in decreasing order.\nAnswer: 3, 0, -8, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 41095004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-303)\/6*-1 + (-1)\/2. Suppose p = 5*w - l, -3 = 3*p + 12. Solve -6*b + 3 - w = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 116040.53362 to the nearest 10.\nAnswer: 116040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20329 is divided by 66?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 11*m - 616. Give i(31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1431 (base 6) to base 7\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(27)\/(1*sqrt(9)) + sqrt(75)*-1)*-4)**2.\nAnswer: -256*sqrt(3) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-8))\/(-3)*2\/69\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18402 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: Let l = 1.44 + -1.4400536. Round l to six decimal places.\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4*x - 4, -4*r = -3*x - 25. Let w(u) be the second derivative of 0*u**3 - 1\/165*u**6 - 1\/55*u**5 - 2*u - 1\/66*u**r + 0 + 0*u**2. Factor w(d).\nAnswer: -2*d**2*(d + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 17*r**2 + 15*r - 16. Let v be u(-16). Suppose -5286 = -v*j - 3*j + z, -5*j + 8827 = 4*z. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 2*f**2 - 3*f + 5. Let t be d(-4). List the prime factors of 5*(t\/5 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 + 4)*(1 - 1 - 2*j) + 432*j - 986*j + 813*j to v*j + o and give v.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4154 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 114 + 533 = 263 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 - 3. Let v be (-110)\/33*2*(-6)\/10. Suppose -9 = v*g + w, -10 = -g + w - 6. Which is the fourth biggest value? (a) l (b) -0.3 (c) 1 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.33385 kilometers in centimeters?\nAnswer: 133385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.5817 - -212.4117. Round s to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.4 (b) -4 (c) -1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5384634953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/9 in -0.044, 0.4, 7\/4, 11\/5?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1714*v**2 - 2 - 796*v**2 - 265*v**2 + 2*v in the form t*v + r + b*v**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 913840?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 21289, 0.4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovo when three letters picked without replacement from {v: 2, f: 1, u: 5, w: 2, o: 2, d: 1}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-184)\/(-506)*(-1)\/4\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*t - 5*t - 8*t + (2 + 0 + 0)*(5*t + 0*t - 2*t) + t - t + t - 2*t + 6*t + 0*t to the form s + p*t and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 18 = 3*b + 6, -s + 6 = b. Solve b = -o + 205 - 204 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862*c = -23667 + 3841 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) + (-14)\/(-8). Let n = 3 - l. Which is greater: n or -0.04?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251 - 712*y + 359*y + 251 + 354*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {g: 4, k: 3, b: 2, y: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110592 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.19 + -1.59. Let i be (-12)\/(-20) + 1\/(-1). Which is the closest to i? (a) -4 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 76\/14 - (-80)\/140. Let m(f) = -8*f + 3. Let b be m(q). Let a be 7\/14 - b\/2. Calculate the highest common divisor of 207 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t = -1073 + 969 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2)\/6)\/((-4)\/4236)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293319, -293200, -293073, -292938, -292795?\nAnswer: -292644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.4 - -15.4. Sort c, -5, -0.06, -2 in ascending order.\nAnswer: -5, c, -2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -368625, -743998, -1119373, -1494750, -1870129, -2245510?\n\"Answer: -k**2 - 375370*k + 6746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + 15. Let z be v(8). What are the prime factors of 2\/z - (-15036)\/108?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 12:56 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1481430 divided by 23?\nAnswer: -64410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3239 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255 divided by -51.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4005497521*u**4\/7 + 672923330372*u**3\/7 + 95553650829*u**2 - 42276380*u\/7 + 668\/7 = 0.\nAnswer: -167, -1, 2\/63289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)*o\/(o\/(o**(-5)\/o))*(o**(1\/3))**(-21) assuming o is positive.\nAnswer: o**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20 and -9.0175830424.\nAnswer: 10.9824169576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 185?\nAnswer: 18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(13)*3)**2 + -1 + 0.\nAnswer: -12*sqrt(13) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + sqrt(1862)*1 + sqrt(38))\/(sqrt(288)*2).\nAnswer: 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*g - 4*q + 16, 5*g = -2*q + 33. Let i be 113 - g\/(28\/12). What is the greatest common divisor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -244 + 124. Solve 2*r - 10*r = v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5 = 4*t, -4*r - 2*t + 1 = -9. Suppose 61 = r*q - 74. What is the greatest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1881804610, -1881804609, -1881804608, -1881804607, -1881804606, -1881804605?\n\"Answer: d - 1881804611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*o - 18. Suppose -4*t - 2 + o = 0. What is the second derivative of -m - m**5 - m + t*m wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 3) to base 4.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**5 + 4*o**2 + 148*o wrt o.\nAnswer: 20*o**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -da7529 + -13?\nAnswer: -da753c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 471 and 473 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42568, -42577, -42584, -42589, -42592?\n\"Answer: c**2 - 12*c - 42557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4779 + -0.0179. Let m = q + -0.5. Let h = -6 + 6.2. Which is the smallest value? (a) h (b) -3 (c) 0.3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45273*m**2*o*v**2 - 113*m**2*o - 3*m**2 + 3*m - 3*o wrt v?\nAnswer: 90546*m**2*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 5:01 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -232112235090810882.861000707 + 232112235235770959. Let z = h - 144960076. Let k = 0.139 - z. Round k to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -52*w**3 + 2*w + 1. Let p be -3 - -1 - 1\/(-1). Let y be z(p). Calculate the highest common factor of 17 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**2*v\/((((v\/(v*v**(-1\/12))*v)\/v)\/v*v)\/v)*v assuming v is positive.\nAnswer: v**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*t - 463*t + 4*l + 162 = 0, -65*t - 4*l - 363 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 225*w - 797*w + 2.\nAnswer: -572*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 - s**2 + 0*s**2)*(-2*s - s + s) + 0*s**3 + s**3 + 0*s**3 - 4*s**3 + 3*s**3 + 5*s**3.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112*g*j**2 + 7*g*j - 39*g*z + 2*j**2 + 10*j*z + j + 1475*z with respect to g.\nAnswer: 112*j**2 + 7*j - 39*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x + 3, 2*v - x = 5. Suppose 9*r - 165 = v*r. Is r at most as big as 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15334, -14813, -14288, -13759, -13226?\nAnswer: -12689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let w be (-10)\/8*(14 + 6). Let o be (6\/8)\/(w\/20). What is the closest to i in 4\/7, o, -5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**5)**35 assuming i is positive.\nAnswer: i**245","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222635 and 8415603?\nAnswer: 42078015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 10:59 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from acaqqqcqaaqcacqqxcq.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(19\/4)*b**8)**(17\/2))**12 assuming b is positive.\nAnswer: b**(2601\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-35)*i**(-2)*(i\/(i**(-4)*i))\/i*i**(-1\/3)\/(i**1\/i)*i**2\/(i**(1\/2)*i*i*i) assuming i is positive.\nAnswer: i**(-215\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 10667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**2 + 783 - 783. Let l(m) = -9*m**2 - 5*m. Let j(c) = -4*c**2 - 2*c. Let u(y) = 5*j(y) - 2*l(y). Give u(h(f)).\nAnswer: -50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 49*f - 47. Give a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3350 from -15.15941292.\nAnswer: -3365.15941292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -2*h**5\/5 + h**2\/2 + 22*h. Differentiate w(c) with respect to c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-6))\/((-2)\/(-2)). Let m be 32\/(-150)*10\/(-4). Let k = m - 11\/30. Sort k, -0.4, h.\nAnswer: -0.4, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 505*v**3 - 5*v**2 + 2*v - 10. Let h(p) = p - 3. Let l be h(8). Let m be r(l). What is m rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 1, 0, 10 in increasing order.\nAnswer: -33, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6 + (-36)\/(-8). Solve 52*a = 48*a - q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1239 + 1446. Suppose 11*y - 95 - 4 = 0. What is the highest common divisor of t and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 3 + -5)*-326 - 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o + 5*a = -85, 0 = -3*a. Let w = o + -15. Suppose 4*m = f - 37 - 5, 10 = -w*m. Solve -2*t + f = 2*v + 2*v, -3*v = 4*t - 24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1039*d + 126. Is h(6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 2) + 4\/12. Let b = -5.89 + -0.11. Let m = 3 + b. What is the smallest value in o, -3\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -802, -3428, -7804, -13930, -21806, -31432, -42808?\n\"Answer: -875*w**2 - w + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26753?\nAnswer: 31, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114212 - 33544?\nAnswer: 50335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6830 + 6829.99915004. What is j rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 3*l - 38 - 5*l.\nAnswer: -2*l - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 2*l**2 + 11*l + 5. Let o(v) = 3*v**3 - 3*v**2 + 21*v + 9. What is 7*h(c) - 4*o(c)?\nAnswer: 2*c**3 - 2*c**2 - 7*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003114297 to seven dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 2*u**2 + 2*u**2 + (-32*u + 7*u**2 + 32*u)*(10 - 10 - 11).\nAnswer: -76*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 202440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - 8*s**2 - 6*s**2 + (-2 + s + 2)*(-3 + 3 + 2*s) - 10*s**2 + 5*s**2 - s**2.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7380 divided by -6?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -42, -88, -152, -234?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-93)\/(-5580))\/((-116)\/290)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58*g**2*k**5 - g**2*k - 23*k wrt k?\nAnswer: -1160*g**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 89 and 17.\nAnswer: 1513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y - 13. Let o be s(2). Find the common denominator of -16\/13 and ((-278)\/(-14) + o)\/((-8)\/(-14)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1140001 (base 7) to base 11.\nAnswer: -99265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*v. Suppose a = -v*a + 4. Let w be (4\/(-10))\/(a\/(-80)). Solve 0 = b - w + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 3\/10, 259, -2\/13, 1\/6, 749?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbnqi. What is prob of picking 1 q and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1)\/h)**(-2\/25))**23)**(-11) assuming h is positive.\nAnswer: h**(-1012\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43724 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*g - 37*g - 48921 = 547*g - 203*g for g.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9173 (base 12) in base 10?\nAnswer: -15783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5bbdd (base 15) in base 2?\nAnswer: -1000111100001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**3 + 4*p**3 - p**3 + 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 5*w**4\/12 - 2*w + 179. Let h(i) = 50*i + 31*i - 51*i. Give h(p(y)).\nAnswer: 150*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + 44\/(-12))*30. Let t be r + -7 - (4 + -2). Does 7 divide t\/(-4) - (-231)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2963151 is divided by 37988.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 14*v**2 - 58*v + 137. What is z(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 3 - -2 - 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -4*k**3\/3 + 6*k**2 - 144. Let d(w) = w**2. Determine d(m(b)).\nAnswer: 16*b**4 - 96*b**3 + 144*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001110111100001000 (base 2) in base 15?\nAnswer: -65c0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13064119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*a + 6*a - 295*a**2 + 281*a**2 in the form h*a + r + f*a**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*f**2 + 73*f**2 + 36*f**2 + (-2*f + 4*f + 0*f)*(2*f + 0*f - f) + 2*f**2 - 3*f**2 + 0*f**2 + 5*f**2 - 2 + 4 - 3*f**2.\nAnswer: 83*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17483 and 1272562316?\nAnswer: 1272544833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/2 (b) -2 (c) 2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.113*-61305.1.\nAnswer: 6927.4763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*w + 13, -5*m - 5*w + 23 = -w. Let n be ((-1 - -1) + -1)\/(-1). Solve n = m*d - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3)*(1 + 2). Let c(r) = -r**2 + 4*r + 7. Let o be c(5). Suppose o*k - 6 = 4*k. Is l at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80055 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -124468, -249005, -373544, -498085, -622628?\n\"Answer: -u**2 - 124534*u + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-56)*27\/72.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*n - 75*n + 1764 = 0. Calculate the lowest common multiple of 12 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (88\/(-110) - 4\/(-5)))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - -4. Suppose 0*c + 5*c = -5*z + j, 0 = -4*c - 2*z + 26. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 167666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*h - 116*h - 9 = 3*x, 10 = 2*h - 4*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let o be h(-3). Suppose -5*j - l = 70, -o*j - j - l = 56. Put -5, j, 4, 0 in increasing order.\nAnswer: j, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 divide 127731987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37\/5 of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 68*n**2 - 10557*n + 13146. Calculate w(154).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -296*b - 119. Is p(-3) 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 231471886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6*a - 3*a = -11, -3*q + 2 = -a. Suppose 0 = -5*c + 4*y - 11, 0*c - 5*c = y - 9. What is the lowest common multiple of -4*(q + 5\/(-4)) and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190992 and 5657792.\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76781*d**2*f**3 - 24*d**2 + 92*d*f**3 + 39*d*f**2 - 4*f**3 wrt d?\nAnswer: -153562*f**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51020828.\nAnswer: 2, 12755207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 346*b + 14917. What is g(-83)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 390 + -7. Suppose -w + q = -624. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -15) + (-13 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/5, 4, -4, 46839 in increasing order.\nAnswer: -4, 14\/5, 4, 46839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18713, -74835, -168391, -299399, -467877, -673843?\nAnswer: -917315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561046 is divided by 549?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12728, -25357, -37986?\nAnswer: -50615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 326780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4)*y**(-1\/13)*y*y)**10)**(-20) assuming y is positive.\nAnswer: y**(-5650\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w. Let d(z) = -1911*z**2 - 1845. Calculate d(h(k)).\nAnswer: -7644*k**2 - 1845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1243724 is divided by 144?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(112) + (sqrt(112) - (-5 + 3 + sqrt(112) + sqrt(112)))) - (5 + (-2 + sqrt(112))*5))*2)**2.\nAnswer: -480*sqrt(7) + 11236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**4\/6 - 5*l**3\/9 + 2*l**2\/3 - l + 12. Find i such that h(i) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 595495 and 15.\nAnswer: 1786485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 7*j**5\/20 + j**3\/6 - 6*j**2 + 643*j. What is v(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 312, 477, 648, 825, 1008, 1197?\nAnswer: 1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -7. Suppose 0 = 2*t - 4 - 4. Suppose t = w*x - 4. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q = -34. Let i(x) = -7*x - 75. Let g be i(-11). Solve 7 = g*t + q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyxammvv. What is prob of picking 2 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4244460, -8488903, -12733344, -16977783, -21222220, -25466655?\nAnswer: -29711088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -49704211.7 to the nearest one hundred thousand.\nAnswer: -49700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -462488 and 18.\nAnswer: -462470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 9816 = -5*h, 109*l - 112*l + 3*h + 29448 = 0. What is the thousands digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4729 = 1519. Suppose 0 = -7*n - 176 + r. What is the greatest common divisor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**4\/9 + 14614*j**3\/9 + 13000*j**2 + 292568*j\/9 + 234080\/9 = 0.\nAnswer: -4, -2, 7315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.97 + 10.57. What is the second smallest value in -1\/6, -110.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5274 a factor of 320686308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 116*m - 47*m + 140*m + 209. Let t = -5 + 5.3. Which is the smallest value? (a) -1\/2 (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/37107 and -61\/503595.\nAnswer: 3525165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - -187. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**6\/24 - l**5\/60 - l**4\/8 - l**3\/3 - 3*l**2. Let n = 12 + -14. What is the remainder when p(n) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -96*f**2 - 2304*f - 20. Calculate l(-24).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -297, -490, -683?\n\"Answer: -193*z - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -146.6278695 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 488655?\nAnswer: 1465965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 3099?\nAnswer: -2169.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 7. Let r be (4\/2 - -2) + z. Find the second derivative of 2*g - 2 + g**3 - 4*g**3 + r wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 61*y**6\/5 + 2281*y**2\/2 + 1055*y. Differentiate i(b) wrt b.\nAnswer: 1464*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 30 = 2*s. Suppose 3*r - s = r. Suppose 0 = -r*c + 716 + 219. What is the highest common factor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14390630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-65))\/(30\/200).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -318*w**4 - w**2 + 275*w wrt w?\nAnswer: -3816*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 0*m - 4\/3*m**3 + 4*m**2 + 5. Factor q(v).\nAnswer: -4*v*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z + 19. Let o be u(-3). Let i(r) = 3*r**2 + 11*r - 5. What are the prime factors of i(o)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 15) to base 10\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1049, -1215, -1491, -1877, -2373?\nAnswer: -2979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/14*(-1 - 29)*3. Let z = 832 - i. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.17 + 0.170001755. What is r rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -13*v - 1. Let r(h) = 27*h + 2. Let c(i) = -3*r(i) - 7*t(i). Let n be c(1). Calculate the highest common divisor of 55 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 14*i - 105. Let r be w(8). Let s(l) = -4*l**2 + r*l**2 - 28*l**2 + 9*l**2. Let c(y) = -5*y**2. Calculate c(s(d)).\nAnswer: -1280*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158783\/55 + 2887. Put 1\/20, z, 2 in descending order.\nAnswer: 2, 1\/20, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67097338 is divided by 72?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.052.\nAnswer: 0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + -2 + -22 + (10 - -27 - 11)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 225 - -20. Suppose c - 173 = 12*o. Solve o*i = -39 + 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4*v**2 + 38*v - v**3 - 81*v + 41*v to the form x*v**3 + r*v**2 + a + n*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*h - 3 + 8 - 4 as x + r*h and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 16*m = -60 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2, 0.2, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(1\/5)\/n)*n**10\/n*n)\/(n**(-6\/11))**(-3\/26) assuming n is positive.\nAnswer: n**(8392\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -48. Let c = -13 + g. Let j = -20.02 - c. Round j to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1175460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from didiidddddiiizdddziy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4320)\/(-10368) + (-44)\/(-48) + -1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 275632119.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*l - 38*l - 14*l**2 + 43*l + 37*l.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**7\/504 + 7*h**6\/72 - 49*h**5\/24 + 13*h**4\/12 + 8*h. Let t(o) be the third derivative of f(o). Factor t(m).\nAnswer: -5*(m - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.3465 in 32, 0.1, 1\/2, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 10:15 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000709128846 to six decimal places.\nAnswer: -0.000709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-219)\/(-365))\/(45\/5)*6*(-6)\/(-16)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*s + 0 = -3, 3*w + 5*s - 20 = 0. Let t = -129 - -105.4. Let z = -25.7 - t. Sort 0.3, z, w in decreasing order.\nAnswer: w, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22785 and 210?\nAnswer: 45570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/385 and 139\/20790.\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(sqrt(2000) + (0 + sqrt(2000) + sqrt(2000))**2) + (2 + -1*sqrt(5) + (sqrt(110)\/sqrt(2) - sqrt(55))\/sqrt(11))**2 + 5).\nAnswer: 216*sqrt(5) + 96084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)*k\/k**5)\/(k*k**(-4)*(k\/k**(-2\/29))\/k) assuming k is positive.\nAnswer: k**(-97\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 138.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -10 - -8 - 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8529601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.2 (c) 688 (d) 3 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1006694822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 + 13*p**2 + 33*p + 83. Let a be c(-5). Sort -3, -2, 66, a in ascending order.\nAnswer: a, -3, -2, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/4159 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 2:39 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*k - 20. Suppose 18*r - k*r + 2320 = 0. Round r to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - n + 2513. Does 48 divide j(-88)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0 (b) -4\/3 (c) 27 (d) -1\/15 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/7 - 25804*l - 361200 = 0.\nAnswer: -90300, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 60 = -3*v. Suppose -2*g - 3*g + v = 0. Let j = -9 + 6. Sort g, 0, j, -1.\nAnswer: j, -1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h*h**(1\/5)\/h))\/h*h)**(13\/3)\/(h*h**(-5)*h**(-3\/5)))**43)**(4\/29) assuming h is positive.\nAnswer: h**(20812\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*s - 181*s**2 - 94*s - 87*s + 269*s as d + l*s + i*s**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 5*w - 1, 2*t = -3*w - 0 - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o + 24. Let r be (-20)\/(-6)*234\/65. Let d be k(r). Let s be d - (3 + (-7581)\/(-3)). Round s to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 44998302.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/2*4*43\/(-602).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, f: 1, j: 2, i: 1, z: 2, a: 1}. Give prob of picking 1 t, 2 j, and 1 z.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20083 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376501 to the power of 1\/2, to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -h - 2, 4*h + o + 3 + 5 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -31382693 divided by 2\nAnswer: -31382693\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*h = 309, -2*z = -4*z + 3*h + 142. Calculate the remainder when 5 + z - (-3 - 0) is divided by (-64 - 1)\/(-2 - (-5)\/(-10)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16809127719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 205*u**3. Let x(d) = -4*d**2 - 31*d + 2. Calculate the remainder when i(1) is divided by x(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 45677, 45699, 45749, 45839, 45981, 46187?\n\"Answer: 2*w**3 + 2*w**2 + 2*w + 45671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 4*a**2 + 1. Let f(z) = -5*z**3 + 21*z - 106. Let b(v) = -f(v) + 2*t(v). Factor b(r).\nAnswer: (r - 9)*(r - 3)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + 1593*p\/2 + 316303.\nAnswer: (p + 754)*(p + 839)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12411 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -280*k + 16. Let t(r) = r - 3. Calculate -c(x) - 6*t(x).\nAnswer: 274*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -p + 35, 2*i - 562 = -5*p - 591 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 2*d**2 - 7*d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665 = 39*z - 7*z - 13*z for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(18)*1 - 1*sqrt(128) - (sqrt(16)\/sqrt(2) + (sqrt(2) - (sqrt(2) - (sqrt(2) - sqrt(10)\/(1*sqrt(5)))**2))))*-3.\nAnswer: -126*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 432 and 2256.\nAnswer: 20304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18615.\nAnswer: 3, 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - i - 44 = -0*i, -2*u + i - 12 = 0. Let d be ((-265)\/30 - u) + 2\/(-12). What is the fourth biggest value in 4, 1, -2\/11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -24*y**2 + 9*y - 528. Let p(n) = -11*n**2 + 4*n - 264. Give 4*d(o) - 9*p(o).\nAnswer: 3*o**2 + 264","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, 2191, 5047, 9037, 14155, 20395, 27751?\nAnswer: 36217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 - 6*v**2 + 26*v**2 - 393*v - 3*v**2 + 392*v.\nAnswer: 22*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 262201 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 3*j - 4*j)*(-878 - 3074 + 1331)*((-2*j + 5 - 5)*(-2 - 2 + 3) + j + 2 - 2).\nAnswer: 7863*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 636617981, 636617984, 636617987, 636617990?\n\"Answer: 3*o + 636617978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = -r. Let o(g) = g**3 - 6*g**2 + 6*g - 4. Calculate o(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2072357 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 290 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -42*i + 2. Let r be t(1). Let n = r + 42. What is the highest common factor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h + 15. Let p = h + -8. Let f = p + 16. What is the greatest common factor of 99 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (162\/135)\/((-2)\/(-10))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -37. Let d = 3.5 - 4. Let u = 0.5 - d. Which is the nearest to z? (a) -2 (b) u (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6746, 13511, 20288, 27083, 33902, 40751, 47636, 54563?\n\"Answer: u**3 + 6758*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Suppose 3*b + 4 = -2. Let r = d - b. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1148 minus 0.01?\nAnswer: -1148.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from xusuuxxfffsxfu.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/((-58)\/609).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 26 = -4*w, 5*w - 7*f - 43 = -6*f. Is w\/(-12) - (-3595)\/20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 10:44 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -32. Let m(c) = -c**3 + 23*c**2 - 21*c - 98. Let w be m(21). Let v = w - 340. What is the highest common factor of t and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5860397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 - 75. Suppose -q + 0*q - 10 = -4*v, -10 = -3*q + 2*v. Calculate the greatest common factor of z and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285585 is divided by 25641.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-238)\/98 - (-9)\/(-42)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 - 3 - 7)*(0*v + 1 + 2*v - 2)*(-2 + 4*v + 2)*(0*v - 7*v + 3*v) in the form m*v**2 + u*v + y + d*v**3 and give d.\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2252.5 - 2102. What is q rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 + -3.0965\nAnswer: -3.0765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 5, 228320608?\nAnswer: 228320608","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 160729891897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*3*(-2 + sqrt(612) + -2)*3)**2.\nAnswer: -4212*sqrt(17) + 51093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 8. Let q be (-8)\/32 + (-26)\/(-8). Suppose q*s - 3 = 3. What is the nearest to 0.1 in o, -3\/2, s?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**4 - 2*k**3 - 5*k**2 - 3*k - 1. Let z(v) = -4*v + v**2 + 13*v**4 + 4*v - 14*v**4 + v. Let y(x) = 2*m(x) + 10*z(x). What is g in y(g) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 846 divide 2704710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37144 or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-60)\/(-52) + -1 + (-37931046)\/(-442) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1122 and 47328?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4192 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/17)\/(b\/(b*b**25)))\/(b**(2\/43)*b**(-1\/11)) assuming b is positive.\nAnswer: b**(201855\/8041)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -48*f**4 - 445580*f**3 - 853816*f**2 + 334116*f = 0.\nAnswer: -9281, -9\/4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -284 + 283. Let l(q) = q - 6. Let c be l(0). Sort c, b, -4, 4 in ascending order.\nAnswer: c, -4, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5 + 2 + 18*p - 1 + 26*p.\nAnswer: 44*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 591, -3, 3 in increasing order.\nAnswer: -3, 2, 3, 591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2208 + 2210.9. Which is the third biggest value? (a) 6 (b) 0.2 (c) 0.3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 5*q**2 + 0*q**2)*(73 + 118 - 20).\nAnswer: 1026*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1178935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.0813 (b) 3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 823.833 milliseconds to minutes.\nAnswer: 0.01373055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c**3 - 116*c**2 - 388*c + 224 = 0. What is c?\nAnswer: -8, -7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330547613.\nAnswer: 3, 15737, 28183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 36*j + 5. Let n be w(-18). Let y(i) = -i**2 + 7*i - 5. Give y(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8*r + 124 = 0. Let f = -65 + r. Let g = -18 - f. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s. Let r(g) = -g**2 + g - 71. Determine r(i(m)).\nAnswer: -25*m**2 - 5*m - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/7)\/(4\/14). Suppose 6 = -v - 2*c - 3*c, 2*v - y = 4*c. Let z be 11\/((-44)\/48)*v. Solve 3*i + 4*r - z = 0, 3*i + 0*r = 3*r - 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6844310 and 1447?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*z, -3*z + z + 34 = o. Let t = o - 24. Calculate the lowest common multiple of t and 3\/(-120)*-4 - (-7 + 690\/(-100)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 3*y - 10. Give j(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1031 - -7\nAnswer: 7.1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 10:21 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + 2)*21\/12. Let a = 11 + y. Solve -a*q + 0 = -12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 96\/126 - 2\/6. What is the nearest to 6 in -3, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l - 172. Calculate i(-30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -11. Suppose -12 = -g*x + x. Suppose 2*o - 2 = -4*b + 10, -4*b = -8. Solve -o*h = 5*t - 16, -t - x = -3*h - 3*t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68440?\nAnswer: 2, 5, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*(sqrt(275) + (sqrt(275) - (1 + sqrt(275))))**2*-5 - (4 + sqrt(275)*1 + (0 + sqrt(275)*-1)**2)) + -2.\nAnswer: -155*sqrt(11) + 3864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 22*j**3 - 6*j**2 - 28*j + 5. Let i be 7\/(56\/16) - (1 + -5). Is l(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -27.3. Let h = j + 4.4. Which is the fourth smallest value? (a) -4\/7 (b) h (c) -0.6 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0940335 - 24548.894\nAnswer: -24548.7999665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3059 - -6040. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 26 = 2. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 19*t**2 + 2*t - 10. Let x(w) = 60*w**2 + 7*w - 31. Give 10*a(s) - 3*x(s).\nAnswer: 10*s**2 - s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1078 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 4*d**2 - 3*d - 6. Let y be x(-3). Let g = 14 - y. Factor 4\/7 + 2\/7*j - 2\/7*j**g.\nAnswer: -2*(j - 2)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -22) + -17 + 8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 - 10*w + 5. Let r be d(-5). What is the units digit of ((-6)\/(-4))\/((-2)\/r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 106609, 106568, 106527, 106486, 106445, 106404?\n\"Answer: -41*x + 106650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3 - 2460*s**2 + 364544*s - 719280 = 0. What is s?\nAnswer: 2, 243, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**6\/240 - 3*u**5\/32 - 61*u**4\/96 - 7*u**3\/16 + 49*u**2\/8 - 2*u + 1. Find q, given that a(q) = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 152*l - 150*l - 406. Let y(w) = -203 + l - w. Let u(t) = 5*t**2 - 3*t**2 - 5*t**2. Determine y(u(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*y**5\/5 + 11184*y**4\/5 + 109864*y**3\/5 - 44068*y**2\/5 - 64342*y\/5 - 2524 = 0. What is y?\nAnswer: -10, -1\/3, 1, 631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408024601 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/85127 and -47\/7.\nAnswer: 85127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13454989231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48302596?\nAnswer: 2, 677, 17837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**3\/2 + h**2\/2 + 17929*h. Suppose -s - 3 = -4*i, 3*s + 0 = 4*i - 1. Give m(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14121 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043143.8 rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.2 - -0.2. Let f = 22.9 + s. Which is the nearest to -1? (a) 0 (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 367\/3 + -136. Is -14 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32070443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1017526 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20677*x + 23062*x - 1938*x + 2712*x - 2799*x to the form a + g*x and give g.\nAnswer: 41714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than or equal to -7\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -338*n**2 - 3. Let b(a) = -1013*a**2 - 10. Determine -2*b(q) + 7*t(q).\nAnswer: -340*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874*m - 1084*m = -769*m - 40426 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -199 - 200 - 194 + 591 - 3006*x**2 in the form h*x**2 + o*x + b and give h.\nAnswer: -3006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -1433 + 6195. List the prime factors of a.\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**2*w**2 + 25*n**2*w - 36510*n**2 + 201027*w**2 wrt w.\nAnswer: 6*n**2 + 402054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -6, -10, 4, 42, 110?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 93057631 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 2:46 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + i - 4*x - 14, 20 = -5*x. Suppose -5 = t - 3*s, i*t - 4*s - 6 = -26. Let k = 40 + t. Calculate the highest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87703150*x**4 - 30945176*x wrt x?\nAnswer: -1052437800*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 - 17*m - 10. Let g be i(-5). Solve -3*k + 11 + 1 = g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 9 + 5 - 5*f + 5. Calculate the smallest common multiple of 1 and p(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*n + 384*n - 1435*n**2 + 717*n**2 + 716*n**2 - 27*n**3.\nAnswer: -27*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1694?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11442 - 0.41442. What is the nearest to 3 in 4, h, 1\/39?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*r + 24, 5*i = -r + 9 + 12. Suppose 14 = 5*z - r. Differentiate -5 - 8 - 3*t - z with respect to t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*k + 31 = 0, -5*k - 49 = -q - 3*q. Let f = 4 - q. Which is the second smallest value? (a) f (b) 2\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33725\/22426 or -1?\nAnswer: -33725\/22426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 30. Which is the nearest to 2? (a) 1\/5 (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2494 or -1?\nAnswer: -3\/2494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607*g - 610*g = -6*d - 24, -5*g = -d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let p = d + 0. Let u = 39 + -41. Does u = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75\/7 - -989\/91. Which is the second smallest value? (a) d (b) 0.048 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 55*g**4\/24 + 49*g**3\/2 + 10*g**2 + 53. Let m(a) be the second derivative of h(a). Find the first derivative of m(o) wrt o.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 1\/2 (c) -1632 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*n + 2076 = -1729 - 413 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13194, 25405, 37602, 49779, 61930, 74049?\nAnswer: 86130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1576 + -1516 + (-1 - 81).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147.6 + 149. Sort o, -1, -0.4.\nAnswer: -1, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -11524631?\nAnswer: -11524627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 78. Let x be (((-3)\/p)\/1)\/((-3)\/150). What are the prime factors of (-14)\/(-21) + 1 + x\/(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.51? (a) 0.158 (b) -24 (c) 0.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/662 and 37\/312.\nAnswer: 103272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**3 + 6*i**3 - 5*i**3 + 1 + 3*i**2 + 0*i**3 as s + h*i**2 + w*i + d*i**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -298, 0.02, 3, 5, -16, -2\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1717 - 44483 = -2427*b + 502*b for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1507 and 2055?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u + 2*u + 0 + 5*u - 1 + 4*u**3 - u**2 in the form g*u + r*u**3 + p + i*u**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13\/(-3))\/((-2730)\/342 - -8). Let s = j - -470. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 41. Let o(v) = 2*v - 18. Let l be o(u). Solve -3*h = -l*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107.8 - -118. Let r = -10.312 + n. Let v = r + 0.112. Sort -4, 5, 0.5, v in descending order.\nAnswer: 5, 0.5, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -3. Suppose -v = -5*v + 16. What is the least common multiple of v and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 - 6 + 6 + (61*j + 78*j - 69*j)*(-3*j**3 + 0*j**3 + 2*j**3) to the form u*j**4 + t*j**3 + k + p*j**2 + w*j and give u.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 27174\/2352 + (-3)\/24 - -19\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60908, -121781, -182656, -243539, -304436, -365353, -426296?\n\"Answer: -u**3 + 5*u**2 - 60881*u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 26*z**2 - 30*z - 227. What is the least common multiple of x(-6) and 35?\nAnswer: 4445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16473.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -41, -7, 0, -718, 3 in ascending order.\nAnswer: -718, -41, -7, -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**4 - 17864*t**3 + 2221088*t**2 + 4495752*t + 2256804 = 0.\nAnswer: -4587, -1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12067886 by -1.\nAnswer: 12067886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 + b**3 - 2*b**3 + (4*b + b - 7*b)*(0*b**2 - 1 + 0 + 2*b**2).\nAnswer: -3*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwwnmmwnnwwkmnn. Give prob of sequence nwwm.\nAnswer: 10\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) - 7\/105*51. Let v be (2\/5)\/(f - 178\/(-60)). Let n be 12*(-16)\/v*1\/4. Solve -8*x = -n*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -z + 17, -2 - 2 = z - 2*v. Suppose -5*o = z*a - 10, -a + 4*o = -3*a + 8. Let x be 2 + (9 + 0 - 1). Solve a = 5*f - x + 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 6*k - 11. Let h be d(-6). Let x = 14 + h. Let i(q) = -x*q - 4 + 2*q + 0*q. Determine i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of -3*6824\/(-32) - (-6)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 15. Let q(p) = -5 + p**3 - 2*p**2 + 2 - 3*p**u - 3 + 6*p. Let x be q(4). Solve -x*w - 5*o - 20 = 3*w, o - 2 = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*n - 9326 = -110*n - 34558 for n.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580882*w = -3*m - 580877*w + 13, 37*m - w = -143 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511043?\nAnswer: 13, 19, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1572 + 1112 = 210*n + 164*n - 20130 for n.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 6*w = -2*w + 40, 0 = -5*w + 22 - 47 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27325, 111556, 251941, 448480, 701173?\n\"Answer: 28077*r**2 - 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7631274 and 52269?\nAnswer: 7631274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (652 - -2)*(-38)\/(-3) and 8?\nAnswer: 16568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (0 + 1)*-19. Let c = x - 16. Suppose 0*g - c*g = -921. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153\/4 + 38. Let x = 734\/3 - 244. Put 1\/3, s, x, -0.4 in descending order.\nAnswer: x, 1\/3, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(3\/2)*s)*s*s**(2\/5)\/s)\/((((s*s**(-5))\/s)\/s)\/(s**(-4)*s)))**43 assuming s is positive.\nAnswer: s**(1677\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 - 198. Let g = 80 + h. Which is the nearest to 0? (a) 1\/4 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318696583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904929 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/2*u**2 - 3 + 9\/2*u = 0. Calculate u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3705?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 3\/4 (b) -2\/7 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 3:39 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-41 - -41) - 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 4:23 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, l: 6, e: 1, r: 7}. What is prob of picking 1 l, 1 r, and 2 g?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1154297, -1154293, -1154287, -1154279?\nAnswer: -1154269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1762)\/(-2)*((-2)\/(-2))\/1?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 8:22 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*u + 995 = -3997 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390367 divided by -141.\nAnswer: 390367\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 29*g - 344. Let o be m(11). Let p = -0.25 + 0.15. Which is the third biggest value? (a) p (b) o (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 47*q**2 - 265*q + 180. Calculate the remainder when b(-52) is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -2216, -5183, -9318, -14621?\nAnswer: -21092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11479, 45905, 103281, 183607, 286883?\nAnswer: 413109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = -4*u + 10*u. List the prime factors of u.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/7 - 5*m\/7 + 4\/7 = 0 for m.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 723189 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 66 = 4*p - 38, -3*z = p - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5*a + 8980, -4*a = 3*p + a - 5392. Calculate the smallest common multiple of 30 and p.\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 32048?\nAnswer: -32050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1578523 is divided by 887.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50946*y + 929174.\nAnswer: 50946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 91, 138, 185, 232, 279, 326?\n\"Answer: 47*i + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/26, 1, -147\/5, 2\/7, 2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/7, 4\/7, -8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 973151.2 litres in millilitres?\nAnswer: 973151200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, y: 2, v: 1, b: 1, z: 2}. What is prob of sequence yv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1096, -1417, -1738, -2059, -2380?\n\"Answer: -321*c - 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b + 3. Let x(f) = -11*f - 17. Let v(w) = 34*m(w) + 6*x(w). Let c(k) be the second derivative of -9\/2*k**3 + 0*k**2 - 11*k + 0. Give v(c(p)).\nAnswer: -54*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 791688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*r - 7549 = -2524. Let a be (-6)\/12 - 127\/2. Let h = a - r. Calculate the greatest common factor of 27 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1752 + -1747. Solve 5*t = -5*f + 15, 0 = 5*t - 3*t + h*f - 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 + 13*m**4 + 390*m - 379*m + 9*m**4 - 2*m**3 - 17*m**4 as o + g*m + z*m**3 + x*m**2 + j*m**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 o when four letters picked without replacement from xodoxxdodxo.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:27 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o = 0. Let p = o - -24. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 3*l**2 - 4*l + 1. Let g be f(-4). Suppose g = -2*w + 7. Suppose 0 = -4*x + i + 44, -3*x + 35 + 7 = -w*i. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m - 4 + 0*m**2 - 2*m + m**2. What is the remainder when (-3)\/(-6)*8 + 40 is divided by v(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 15405 + 4053 = 0. List the prime factors of k\/(-9)*-4*15\/40.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 9*p**2 + 2*p + 3. Let k(r) = r**2 - r + 1. Let t(b) = -k(b) - z(b). What are the prime factors of t(5)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**3 + y**3 + 0*y**3 + 762 - 38*y - 386 - 384 to the form m + d*y + p*y**2 + x*y**3 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 88. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 2:04 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/20 and (-188)\/(-1222) + (-2166)\/52.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.567 in 3, 5, 0, 21\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 2, 0, 4, -4 in ascending order.\nAnswer: -4, 0, 2, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -626 + 628.383. Let k = y + -2.4. What is k rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-36) - (-1)\/(-3))\/(90\/120). What is the smallest value in -4, w, -3, -6\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8028 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + (6 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:35 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*h**2 - 5*h + 74 - 74 wrt h?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 421224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 e, 1 n, and 1 a when four letters picked without replacement from {e: 2, a: 1, b: 1, n: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-2540335\nAnswer: -254033.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 + 9583737*y - 9583737*y.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 9*n - 16. Calculate the least common multiple of n and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7378 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 3. Suppose 2*o - c + 0 = 0. Suppose 0*a = a - o. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-208 + 842 - 148 + 556 + 512)*(r + r - 4*r)*(17*r**2 - 4*r**2 - 6*r**2) to the form l + j*r + g*r**3 + b*r**2 and give g.\nAnswer: -21756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**3 - 25*z + 24*z - 3*z**3 - 1 + 0 - z**3. Let t(b) = 4*b**3 + b**2 + 3*b + 2. Give -4*g(k) - 2*t(k).\nAnswer: -4*k**3 - 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (34 - 11) + 11 + -7\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231737 = -2587*y + 35859 + 28177 - 122043 for y.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11100213120 (base 4) to base 12\nAnswer: -565aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6827, -6530, -6233, -5936?\nAnswer: -5639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3947*z**3 + 8*z**2 - 4*z - 3. Let n be b(1). What is the highest common factor of 84 and n?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1348\/27 (b) -3 (c) -3873\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17839623*c + 8919802*c + 8919812*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10926214.\nAnswer: 2, 13, 29, 43, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 4*g. Suppose -3*f + 81 = -2*h, -f = -4*f - 5*h + 81. Suppose -12 = 4*r, -g*n + 6*n + 4*r = f. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2665 - -33?\nAnswer: -2632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = -21*c + 18*c. Is -102 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 - 6*g**2 + 5*g - 3. Let i be l(8). Let z = -283 + i. Is 13\/(-52) - z\/(-8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 12798?\nAnswer: 243162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-4))\/(50\/(-40)). Which is the second smallest value? (a) -1 (b) j (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13120323 (base 4) to base 10\nAnswer: 30267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 9*a**3. Let n be i(1). Suppose -5*b - 8 = -n*b. Solve -6*d = -4*d + 4*u + 6, 3 = -d + b*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kokboukoououbbbbbo. What is prob of sequence ub?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289347897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 479 = 2*g, -4*g - 54 = 3*c - 1027. Let y = g - 106. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97113780?\nAnswer: 2, 3, 5, 43, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 951 - 644. Suppose f = -0*f + t. Let d = -204 + f. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -8. Let z(x) = 5 + 12*x**2 - 4*x - d*x**2 - 3*x - 3*x**2. What is z(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -208*n**2 + 21*n**2 + 188*n**2 + 12*n - 14. What is w(-12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 32, 72, 128, 200, 288, 392?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1904*n - 1776*n + 640 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-3 + 4) - (1 + (3 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6))\/(196\/(-33810)). Solve -30*o - u = 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1953102811 to the nearest integer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-276*u**2 - 2527*u**2 + 4017*u**2 + 13361*u**2)*(-3*u - 4*u + 5*u) as c + b*u**2 + v*u**3 + d*u and give v.\nAnswer: -29150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/7 (b) 8 (c) -13 (d) -3\/4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4314348.999891 + -4314329. Let v = -20 + p. Round v to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2179 divided by -2.\nAnswer: 2179\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -26.26. Let v = 1.382 - p. What is v rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 1:02 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d. Let j(a) = -8*a**2 + 6*a + 6. Suppose o - 2 = 4. Let h(w) = 9*w**2 - 7*w - 7. Let i = 10 + -3. Let b(t) = i*j(t) + o*h(t). Calculate b(l(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -738*(-2 + (-3 - -3)). Let h be 4\/14 - k\/21. Is (12\/(-10))\/(4\/h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42712 to the nearest one thousand.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j + 5 + j - 3*j**3 + 7*j + 3*j**3 + 26*j**5 wrt j.\nAnswer: 520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 147, 877, 2233, 4209, 6799?\n\"Answer: -r**3 + 319*r**2 - 220*r + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/55*-220*(-28)\/980)\/(4\/(-14))?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3241, 3236, 3219, 3184, 3125, 3036?\n\"Answer: -y**3 + 2*y + 3240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 - -2. Let d = 0.3 + r. Let s = -14 + 12. Which is the nearest to d? (a) 1 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -616 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001771550163 rounded to six dps?\nAnswer: -0.000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -2\/13, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2\/3, -52437?\nAnswer: -52437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 891 - 572. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -9. What is the remainder when 9 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 577*a**2 - 575*a**2 + 9*a + 10 + 1. Suppose -3*o + 5 = 4*v, 6*o - 4*o = -2*v. What is the lowest common multiple of c(o) and 44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 10*x**2 + 10*x - 2. Calculate the lowest common multiple of k(-11) and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75226 is divided by 183.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*y**2 + y + 28?\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/169 + 238\/26 + -4. Let v be (-4)\/(-6)*3*1. Suppose 0 = v*h - 2 + 12. Sort 1, i, h in ascending order.\nAnswer: h, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -25*h**3 + 4*h**2 - 4*h. Let w(b) = -76*b**3 + 11*b**2 - 11*b. Suppose -2*u - 8 = 3*m, -2*u = -346*m + 345*m - 8. Give m*w(v) + 11*g(v).\nAnswer: 29*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**6\/280 + 23*m**5\/140 + 43*m**4\/56 + 3*m**3\/2 - 11*m**2. Determine u, given that k(u) = 0.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 plus -0.0503?\nAnswer: 472.9497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 327*x**2 + 414*x - 83.\nAnswer: -(x - 1)*(x + 83)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 11. Let p be 5\/(-4) + (-2)\/(-8). Let g be p + -2 + (2 - 0). Put 3, g, n in increasing order.\nAnswer: n, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d3 + 71?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66104 and 33052?\nAnswer: 66104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w, -2*o = -3*w + 12 + 57. Let z = 6 - o. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 118.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53274?\nAnswer: 2, 3, 13, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = x + 70, -927*u + 6434 = -5*x - 9335 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 19*t. Let c be ((-8)\/(-6))\/(8\/12). Let n(g) = 7*g**2 + 1 - 1 - 5*g**c. Give z(n(p)).\nAnswer: 38*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0 - 24 = 0. Suppose -o = -4*u + j, -o - 2*o + 3*u - 9 = 0. Let q = 3 + -2. Which is the third smallest value? (a) -3\/4 (b) o (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784 is divided by 44?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0997 or -1\/3?\nAnswer: -0.0997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 115*i**2 - 13677220*i - 27354900 = 0.\nAnswer: -2, 2735490\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1933 - 45747?\nAnswer: -47680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -5, -0.25, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-18))\/(728\/(-1024)). Let r be (12\/(-364))\/(3 - 2). Let s = g + r. Which is the biggest value? (a) s (b) 1\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, 2\/7, -45.4164 in descending order.\nAnswer: 2, 2\/7, -9, -45.4164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i - 172. Let s be m(43). Solve 15 = -5*z + 3*o + 2*o, 3*z - o + 13 = s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/12 and -45\/46?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 45 = -3*j. What is the remainder when 2 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-416)\/65*((-276)\/(-46))\/(-48)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 46 = -3*u - 2, -109*u + 74 = -1343 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 32*x**2 + 23*x - 19. Is g(-34) 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 7*b**5 - 134*b**4 + 13511*b**3 - 11*b**2 - 4538*b + 10?\nAnswer: 420*b**2 - 3216*b + 81066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 9*a**2 + 18*a - 18. Let j be u(-6). Let h(k) = -1236*k - 239. Is h(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -11 - 0 - (31 - -2 - (1892 + -1863))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 11. Let z = -82 - -33. Let x = -60 - z. Let j be q(x). Solve j = 4*y - 3*y + 5, 3*y = 5*h - 40 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/8 - 27\/(-72).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1211*r + 14663 = 919*r - 97389 - 5098 for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 4*u + 8, -f + 4 = 5*u - 5. Suppose -1 = -5*x - v + 1, 5*v = -f*x + 10. Solve 0*l - l + 1 = x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -5, 2, 4, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 - -112.3. Let a = 23.699891 + o. What is a rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 6, -98534 in ascending order.\nAnswer: -98534, -5, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 25\/(25\/5) + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 576, 1606, 3322, 5724, 8812, 12586?\n\"Answer: 343*b**2 + b + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83.051 - 83. Let l = 256.0493 - 256. Let d = l - w. What is d rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from gfffffffffffffffbff?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**5 - 1083634*k**4 - 98857167*k wrt k?\nAnswer: -100*k**3 - 13003608*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 207 + 141. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7424219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -27*n + 354. Let c be b(13). Suppose 55*s = 52*s + 3*p + 3366, c*s - p = 3366. What are the prime factors of s?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3517 + -2295. Calculate the highest common divisor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/7 + 17354*h**3 + 1847222376*h**2\/7 + 11317861728*h + 287352344448\/7 = 0 for h.\nAnswer: -30348, -39, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from uzoozzekfzkufzfoze.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1367725\/250 + (-3)\/(-60)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 + 30*u**3 + 511*u**2 + 2028*u + 1548.\nAnswer: -(u - 43)*(u + 1)*(u + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-22) + (-1878)\/(-3443). Sort p, -1006, -1 in increasing order.\nAnswer: -1006, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.017, -86\/13 in descending order.\nAnswer: -0.017, -2, -86\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69.1 + -72.1. What is the nearest to 0.06 in i, -4, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3687412 a multiple of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by 69910\nAnswer: -37\/69910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s + 12. Let x be (1\/(-2))\/(8\/32). Let i be j(x). Let t be -12*(2 - ((-6)\/i + 1)). What is the highest common divisor of 30 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w + 0*w - w)*(0 + w + 0) + w**2 + 4*w - 4*w - 2*w**2 + w**2 - w**2 + (-7*w + 7 - 7)*(-7*w - 12 + 12))*(0 + 0 - 1).\nAnswer: -46*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0.4, 0.54, -59?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2. Let b(r) = 117*r - 1. Let j(i) = -586*i + 4. Let z(c) = 16*b(c) + 3*j(c). Let l be z(1). Let a(x) = -110*x + l*x + 2*x**2. Calculate a(q(m)).\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -1, 455033 in ascending order.\nAnswer: -1, 27, 455033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 14132 - 14130 = g + 5*h, -4*h = -8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 77 = 2*l - 19, 0 = y - 4*l - 48. 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: What is the remainder when 237 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1170*l**3 + 1167*l**3 - 2123*l**3.\nAnswer: 214*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -103, -125?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205356 is divided by 2208.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007347 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 3 (c) -0.21 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*v = 12, 8*v - 3*v = 3*c - 8. What is the closest to 0 in 0.06, c, -0.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.1. Let j = 0.9 - p. Let v = j - 1. Put -5, 2, v in increasing order.\nAnswer: -5, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3935 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 8:45 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24073 + 24078. Which is the smallest value? (a) -3 (b) u (c) 9\/151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2172 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 1:10 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2148\/(-3759) + (6280\/(-14))\/(-1) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -173, -43.8, 0.3.\nAnswer: -173, -43.8, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44.97882*-0.4.\nAnswer: 17.991528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -401, -646, -893, -1142?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1247 + -1244. Let q(g) be the third derivative of 0 + 0*g + 4*g**2 - 1\/210*g**5 + 1\/42*g**4 + 1\/7*g**n. Factor q(f).\nAnswer: -2*(f - 3)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36577459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/3)\/((-4)\/(-24)). Is (2\/q)\/((-9)\/(-2286)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442*r - 490*r - 144 = 0. Let i = 5 - 6. Suppose 0*l - 5*w = -2*l - 3, 0 = -2*l + 2*w. What is the closest to l in r, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 - 64 - (-7 - 2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 393\/(-30) + 1\/10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 4 (b) -2\/3 (c) -0.4 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 747, -39156 in descending order.\nAnswer: 747, -2\/9, -39156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4440681 to the nearest integer?\nAnswer: 2107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8 - 3)*(2 + p + p - 3*p).\nAnswer: 9*p - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 7*q + 5. Let z be s(0). Suppose -3*n + y + 0*y = -7551, -3*y = z*n - 12585. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 6:21 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187811 by 2.\nAnswer: 187811\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-129)\/(-9) + -15)\/((-4)\/6). Solve -3*u - 5*m + 14 = 0, 2*m - 4*m = -u + x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 12*r - 16. Let i(g) = 13*g**3 + 28*g**2 + 29*g + 1. Let s be i(-1). What is z(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**2 + 3 - 3)*(3 - 1 - 3)*(-2*z + 0 + 0)*(-1 + 3 + 0) to k*z + u*z**3 + w + o*z**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 5*d + 6, 4*y + 401*d - 399*d + 60 = 0 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o - 12. Give z(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 93 + 517 = 0. Let d = -46 - -35. Let g = d - -19. Calculate the remainder when m is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/60 + 23*r**4\/24 + 37*r**3\/2 - 222*r**2. Let g be l(-16). Let t = -5 + 10. Sort g, 0, t in decreasing order.\nAnswer: t, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 179344\nAnswer: 717376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 34 + (3 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 0*s**4 + 0*s**3 + 0 + 0*s**6 - 1\/112*s**8 + 0*s + 3*s**2 + 0*s**7 - 1\/15*s**5. What is the third derivative of l(o) wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -421, -615, -939, -1393, -1977, -2691?\n\"Answer: -65*m**2 + m - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, u: 9, e: 9}. What is prob of picking 3 e and 1 u?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271715, 272761, 273807, 274853?\nAnswer: 275899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-7 + 7 + 1) + -4. Sort h, 102, 2 in ascending order.\nAnswer: h, 2, 102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9474, -9480, -9486?\n\"Answer: -6*z - 9468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5665)\/(-55) - (8 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*j - 2*j - 38 = 0, -3*u + 3*j - 69 = 0. Let h be (-6)\/(90\/u - -3). Suppose -l = 8 - h. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjjejeyeeeeeeyee. Give prob of sequence jyy.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.99 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2983, 5982, 8955, 11890, 14775, 17598, 20347, 23010?\n\"Answer: -2*n**3 - n**2 + 3016*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49915 + 31?\nAnswer: 49946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*h - 9*h - 19300. Is h a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**3 + s**2 - s + 2. Let b(d) = 25*d**3 + 3*d**2 - 26*d + 8. Calculate -2*b(h) + 8*g(h).\nAnswer: -26*h**3 + 2*h**2 + 44*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4751, -17600, -30467, -43358, -56279, -69236?\nAnswer: -82235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -59320285\nAnswer: 59320288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 348617 and -5.\nAnswer: -1743085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03436*-5212.\nAnswer: 179.08432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + -4 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 547*i - 1081. What is z(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9)*(-10)\/(-20).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 + 5*k + 5. Let v(n) = n**3 + 22*n**2 + 32*n - 165. Let b be v(-20). Let w(z) = -5*z**3 + 8*z + 8. Give b*w(d) + 8*m(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**7\/70 - p**5\/20 + p**4\/12 + p**3\/3 - 5*p**2 + 2*p. What is the second derivative of q(v) wrt v?\nAnswer: -36*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/6*((-468)\/30)\/13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3427.26 nanometers to micrometers.\nAnswer: 3.42726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 54 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s - s**2)*(-75*s**3 + 257*s**3 + 161*s**3).\nAnswer: -343*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/4)\/s*s)**(-38)*(s\/(s*s**8))\/s**4)**(-1\/27) assuming s is positive.\nAnswer: s**(119\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2078*s - 824. Is t(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 838*l**3 - 6*l + 3. Let v(s) = 1532704*s**3 - 10972*s + 5486. Give 10972*u(f) - 6*v(f).\nAnswer: -1688*f**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38945 or 350516\/9?\nAnswer: 38945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4*n + 842, 2*b + 4*n - 860 = -n. Let c = -243 + b. What is the highest common divisor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-2.041\nAnswer: 0.6123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2677833 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39080*o - 39073*o - 10*o**4 + 78155*o - o**3 - 24 + o**2 to f*o + x*o**2 + p + s*o**4 + m*o**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3106354026.\nAnswer: 2, 3, 517725671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 901 = -j. Let d = j - 53. Solve d = -c - 2*y - 9, -3*y + 4*y = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-three eighths of a gram in milligrams?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8072339 + 8072766.99438. Let l = 428 - y. What is l rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -51*p + 705. Let g be y(13). Solve 25*v + g = 31*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11050 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 + -3 + -9 - -4 - (-3 - 6).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*w**4 - 3*w**3 - 7*w**4 - 69*w**2 + 5*w**4 - 122*w**2 - w**3 wrt w?\nAnswer: -192*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 127676 and 20.\nAnswer: 638380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, b: 4, q: 1, l: 3, c: 6}. What is prob of picking 2 b?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*g**2 + 32149928*c**3*g + 2*c**2*g + 688*c**2 + 19*g**2 + 117*g wrt c?\nAnswer: -6*g**2 + 192899568*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319945 (base 12) to base 13.\nAnswer: 215bac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1533 + -3?\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -502, -605, -784, -1045, -1394, -1837, -2380, -3029?\nAnswer: -3790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3))**2*3 - sqrt(42)\/(sqrt(24)\/sqrt(4)).\nAnswer: -sqrt(7) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17*4 - (41 - 40). Let k = l - 65. Solve -3*j + 0*j - 4*n = 15, j = -k*n - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000038487586 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + ((sqrt(320)*-1)\/sqrt(8))\/(sqrt(24)\/(sqrt(21)\/sqrt(7))))*4.\nAnswer: -4*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxgqzgxgxqqzgzgqgzgg. What is prob of picking 1 x and 1 z?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27191621489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 2:53 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -274 - -360. Suppose y*b = 96*b - 1410. What are the prime factors of b?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnkn when four letters picked without replacement from nkkkninkiink.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzf. Give prob of sequence ffz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/11 (b) 2 (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tehx when four letters picked without replacement from tghgxggxgexxpxgh.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -930 - 12*q + 20*q - 5*q + 930.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 632 - 348. Is 39 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 - 3. Let s(i) = 7*i**2 + 11. Let r(q) = -22*o(q) - 6*s(q). Let k(c) = -4*c. What is k(r(y))?\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o - 34. Give p(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 + 123. Let o be (-12)\/(3 + 1) - 1*m. Factor -17*j + 2*j + j**2 - o*j - j + 100.\nAnswer: (j - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 6 - 2 - (-1 + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 1 - (-9 - -17)) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5514.43 millilitres to litres.\nAnswer: 5.51443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0\/(f\/(f\/(f\/f**(1\/29)))))**39)**(-2\/7) assuming f is positive.\nAnswer: f**(312\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1332033003 (base 4) to base 5.\nAnswer: 113021214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b + 2. Let v(y) = y**3. Let k be v(-1). Let h be k\/((-12)\/8 - -2). What is l(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20342 and 1456?\nAnswer: 2115568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - (18 - (-16469)\/1505))\/(-1 - 0 - 0).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 12:36 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfd. Give prob of sequence fd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*o - 33 = -l, -4*l - 3*o = -31. Suppose l*x - 14*x + 203 = 0. What is the second derivative of -7*p**5 - 28*p + 21*p - x*p**5 wrt p?\nAnswer: -720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from ostzt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -0.5, -16\/5, 0.1 in increasing order.\nAnswer: -16\/5, -0.5, -0.02, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 828342981 to the nearest integer?\nAnswer: 28781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 1\/4*x**3 + 882 - 41\/2*x**2 + 399*x = 0.\nAnswer: -2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8463\/8 + -73189\/88. Let f = q + -226. Is f at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35644398, -35644407, -35644416, -35644425, -35644434, -35644443?\n\"Answer: -9*n - 35644389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.19, 0.3, -2\/11, 0.5, -0.08 in ascending order.\nAnswer: -0.19, -2\/11, -0.08, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/19782 and -173\/240351300.\nAnswer: 240351300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**2\/2 - 6815*j\/2 - 20355 = 0. What is j?\nAnswer: -1357, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 24 = 9*t. Let m be 6\/(-24)*t\/(-9). Factor -m*p**2 - 2\/3 + 4\/3*p.\nAnswer: -2*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 4.87. Let s = -9.17 + x. Let q = 9.30000235 + s. Round q to 7 decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13045 (base 10) in base 12?\nAnswer: 7671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 753111736 to the power of 1\/4, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 55866 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -c + 4*h, 5*c - h - 1017 + 194 = 0. Let x = c - 161. Solve -3*i = x*s - s + 2, -5*s - 12 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 7*k**2 + 7*k + 11. Let v be p(8). Let w be -2 - (81\/(-3))\/v. Suppose -5*h + w = 2. Solve 2*b - h = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -5, -4, 642, -0.5, -1\/22 in decreasing order.\nAnswer: 642, 13, -1\/22, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 + -1966.\nAnswer: -1966.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-4)*-2*-2. Let g(a) = -5*a - 12. Let f be g(b). Solve 0 = 2*k - f + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31541 (base 6) to base 15\nAnswer: -1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*r + 516 = -239*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*w - 30 = 0, -2*w + 14 = u - 0*w. What is the third derivative of 22*a**u + 0*a**6 + a**6 + 26*a**2 wrt a?\nAnswer: 2760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144421533.9ns in weeks?\nAnswer: 0.00000023879221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 6*f**2 - 6*f + 18. Give n(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.134 + 0.124. Which is the fourth biggest value? (a) -0.5 (b) -2\/19 (c) 3\/5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, i: 4, g: 2, o: 1, d: 2, a: 1}. What is prob of picking 2 a and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*z**2 - z - 40*z**2 + 6*z + 931*z**2 - 3*z - 13 wrt z.\nAnswer: 1666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324467719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -284945.66 * -3\nAnswer: 854836.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*(4\/1)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.279, -0.4, -2\/9 in descending order.\nAnswer: 0.1, -2\/9, -0.279, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37041*y**2 + 3*y**3 + 4*y**3 - 2 - 2*y - 10*y**3 + 37071*y**2 - 7*y**3 to the form m*y**2 + t*y + q + l*y**3 and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -950, -1995, -3134, -4367, -5694?\n\"Answer: -47*b**2 - 904*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(-2*sqrt(2)) - 5*sqrt(117))**2*6.\nAnswer: 37479\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmgmmmmm. Give prob of sequence gm.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 159, 251, 343, 435?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 7*n - 162. Give m(18).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.11 - -0.02. Let k = -28769.75 + 28769.7. Which is bigger: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c + 4. Let t be j(-3). Let s be (-185)\/2 + 2\/4. Let y = t - s. Does 21 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19740158?\nAnswer: 2, 2897, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000969538355 rounded to seven decimal places?\nAnswer: 0.0009695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(-2\/5)))**(2\/7)*(a**(-2))**(-4\/13))**(-39) assuming a is positive.\nAnswer: a**(-684\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -2112130?\nAnswer: 2112113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 13378*u - 13374*u = 50, m + 35 = -5*u for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 12\/11, -0.04, -0.1, -63, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2337 - 2391 - (5 - ((-2 - -3) + 0)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129913?\nAnswer: 7, 67, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3975832*q**4 + 19542*q**2 + 18*q + 4 wrt q.\nAnswer: 95419968*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 92*t + 9 - 1 - 1.\nAnswer: 92*t + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1632*u**3 + 4*u**2 + 5*u - 7. Let c = 15 - 8. Suppose -p + 0*p + c = 0. Let m be b(p). Round m to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9*y**2. Let r(w) = 2*w + 597. Calculate r(o(x)).\nAnswer: 18*x**2 + 597","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -361*v**4\/7 - 2812*v**3\/7 - 5172*v**2\/7 + 1184*v\/7 - 64\/7.\nAnswer: -(v + 4)**2*(19*v - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from {a: 16, s: 4}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002622478 to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*v + 305*v - 150*v to c + p*v and give p.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*s + 22 - 8, 0 = 5*s - 5*q + 10. What is the common denominator of (-4)\/(-66)*3210\/40 and -7*(-11)\/6 - s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 2*w**5\/5 - 131*w**4\/2 - 4*w**3\/3 + 7*w**2 - 73*w - 15252. Find the third derivative of d(u) wrt u.\nAnswer: 48*u - 1572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = -5*y, y + 2*s = 3*s + 3. Let v = -1\/3 - y. Let m be -1*(-2 - 1)\/3. Is v > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -29*b + 520. Let m(r) = 7*r - 36 + 11*r + r**3 + 15 - 17*r**2. What are the prime factors of m(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1496785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -21. Let t(c) = -9 - 2 + 5 - z*c + 5. Let o(b) be the second derivative of -5*b**3\/2 - b**2 + 9*b. What is -6*o(m) + 11*t(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137838*r**2 + 15*r**3 - 67802*r**2 - 70036*r**2.\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*60\/(-200)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227231351 + 7*q - 227231351.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Let m(l) = 728*l**2 + 24. Calculate p(m(n)).\nAnswer: 728*n**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1023113 - 332?\nAnswer: 1022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from oqqq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 14*b + 13*b = 7, -4*j - 7 + 11 = -4*b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 6*n**2 - 6*n. Let s be y(7). Find the third derivative of s*o**4 + 0*o**4 - 6*o**2 + 13*o**2 wrt o.\nAnswer: 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(6\/48 - (-33)\/24). Suppose 0 = r*y - 4*b - 158, 0 = 5*y - b + 4*b - 460. Let m = y - 90. Sort 0, -5, 5, m in ascending order.\nAnswer: -5, m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {b: 1, p: 8, v: 6, d: 1, i: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3791, 7322, 10583, 13574, 16295, 18746?\n\"Answer: -135*c**2 + 3936*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7532?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 19*j**3 - 41*j**2 + 52*j - 20. Let t(i) = 7*i**3 - 14*i**2 + 18*i - 7. Let y(r) = -4*h(r) + 11*t(r). Give y(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7536.709t?\nAnswer: 7536709000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32200 (base 5) to base 6.\nAnswer: 14023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10375 and 4?\nAnswer: 41500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 - 38. Suppose 4*x = -5*c + 66, 0 = -3*c - 0*c + 3*x + 18. What is the greatest common divisor of i and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 5*c - 4*c - 120 = 106, -y = -c + 6*c + 40 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 3:00 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 + 82. Let b be (16\/72*(-2 - q))\/(-4). What is the second smallest value in -8, b, -0.1, 4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681413*f - 3267 = 681534*f for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8339 by 91.\nAnswer: -8339\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*y + 144*y + 1359 - 3795 = 15*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, n: 3, p: 3, b: 2, d: 4, j: 2}. What is prob of sequence bdp?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 217, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 = 4*w + 130. Suppose -4*q = -w + 11. Let h = q - -6. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*v**3 + 13 - 3*v**2 - 34 + 5*v**2 + 11 wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 26. Let r(z) = -z**3 + 17*z**2 - 29*z - 15. Let k be r(15). Sort -4, y, k in descending order.\nAnswer: y, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(784)\/sqrt(7) + -5 + sqrt(7) + (sqrt(7) - sqrt(7)*1))**2*-4 - (4*(-3 + sqrt(28))*-2)**2) + 0.\nAnswer: -3168 + 968*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000026894 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 282 = 5*l - 212, -2*l + 180 = -4*z. Let j = 209 - l. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 87.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*m - 58*m - 2321. Sort m, -4, -2 in descending order.\nAnswer: m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10696, 0, 12 in decreasing order.\nAnswer: 10696, 12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/7, 7, -1, 2 in ascending order.\nAnswer: -1, 10\/7, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2458.146 minutes?\nAnswer: 40.9691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.9 in 3\/8, 0.1, 2821, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67642 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.3, -2, -18, -41 in descending order.\nAnswer: 0.5, -0.3, -2, -18, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.403 + -0.103. Let x = -0.0267 - 1.9733. Sort -3, x, l, 0.1.\nAnswer: -3, x, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 49*q**2 - 157*q + 56. Calculate the smallest common multiple of c(-52) and 1296.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -61*r. Let h(p) = 8012*p - 1. Give h(n(s)).\nAnswer: -488732*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*5106\nAnswer: -2042.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + m. Let l be n(-2). Let a = l + -6. Solve 0 = -a*p + p + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2501 + (-16 - -14) + -1. Are 2499 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 3*u + 0 + 1\/2*u**3 - u**2. Let n be s(4). Solve 3*z = z + n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3*a - 22 = 0, 4*n = -0*n - a - 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/2 in 1, 4, 2, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.296 - 105426.40691?\nAnswer: -105425.11091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3759300 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162 - 27*k**2 - 21*k**3 - 3*k**4 + 37*k + 42*k + 0*k + 2*k.\nAnswer: -3*(k - 2)*(k + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 1. Suppose 497*y = 953*y - 474*y. What is the closest to x in -4, -9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5839.\nAnswer: 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 5*j + 3. Let t be f(5). Suppose s + 1 = 5*v, -t*v = -4*s - 0*s + 64. What is the remainder when s is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - -c0?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-29)\/3 - -1)*36\/(-24) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 3*b**2 - 2*b**2 + (0 + b + 0)*(-3*b - 4*b + 11*b + 3*b - b - 4*b + 6*b - b - 3*b - 2*b + 0 + 0 + (-3 + 1 + 1)*(-2 - b + 2) - 2*b + 0*b + 0*b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -2\/9, -0.3, -11, 0.179?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4.4 or 135220?\nAnswer: 135220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 + 3*y. Let f = 204 - 200. Let u(r) = -2*r**2 + 4*r. Let k(g) = f*m(g) - 3*u(g). Let b(j) = 7*j. Calculate b(k(l)).\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-10)*-2*(-150)\/12. Which is the nearest to 3? (a) 4 (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 200884432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 67682948 * 4\nAnswer: 270731792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9594.777 tonnes in micrograms?\nAnswer: 9594777000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 714\/((-182)\/(-13))*(-1)\/3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = -0*w + w, 2*w = 2*q + 2. What is the closest to 0.03 in -2\/21, 2, w?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 156125342.\nAnswer: 1\/156125342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184*z - 479 + 11589*z**5 + 135 + 157 + 159 wrt z.\nAnswer: 231780*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33535034 - 4720760. Let s = -5214274 + g. What is s rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/245)\/(((-15)\/(-9))\/(140\/36))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26.6*-12\nAnswer: 319.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 56*j = 29*j. Solve 5*x - y - 26 + 30 = j, 4*x + 9 = -5*y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 177440 + -16?\nAnswer: 177423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 less than -144.029?\nAnswer: -141.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s = -192. Let i(p) = p + 48 - s. Let n(m) = -3*m. Determine i(n(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049544?\nAnswer: 2, 3, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**4\/4 - j**3\/6 + j**2\/2 - j. Let l be m(1). Let q = l - -7. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*h - 1. Put h, -4, -7 in increasing order.\nAnswer: -7, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 520*y**2. Let z(r) be the third derivative of -r**4\/24 + 3*r**2 - 3*r. Calculate z(o(j)).\nAnswer: -520*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53232863?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 339 - 177. Let f = y + -146.1. What is f rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 257\/162 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 13, 2, 2\/11?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141 + 137. Let u = 1283 - 1288. What is the nearest to c in u, 5, -3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 249 + -1399. Is 2\/(-3) + b\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1781015002 to the power of 1\/2, to the nearest integer?\nAnswer: 42202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6836005 - -17?\nAnswer: 6836023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 8*v**2 + 2*v - 4 - 3*v - 10*v**2 + 5*v**2 = 0. What is v?\nAnswer: -5\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -218*p + 116. Does 52 divide w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1880 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, 3\/14, 3, -5 in increasing order.\nAnswer: -5, -2, 0.1, 3\/14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*n + 279, 329 + 264 = 2*w - n. What are the prime factors of w?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((7 + 0 + 3)*(-2*d - 2*d + 8*d) + 4*d - 4*d + 3*d)*(d + 0*d + 0*d) as o*d**2 + x + j*d and give o.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 6*f**2 - 6*f - 5. Let d be (-1 + 4 - -4) + 0. What are the prime factors of g(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 5*2*(-10)\/25. Put 2.2, l, -0.4, -3 in decreasing order.\nAnswer: 2.2, -0.4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 9:25 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27643, -110584, -248827, -442372, -691219, -995368?\nAnswer: -1354819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*-4*(-2*sqrt(297) + sqrt(297))\/sqrt(9))\/(sqrt(12)\/(sqrt(4) - (sqrt(4)*2 - sqrt(4) - sqrt(4))) - -2*sqrt(432)).\nAnswer: 4*sqrt(11)\/25 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1715815 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**8*o*o\/(o\/(o**(4\/11)*o)))\/(o\/(o*o\/(o*o**21)*o)*o**10) assuming o is positive.\nAnswer: o**(-194\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4492 + 0.6882. What is the biggest value in q, 0.07, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83917 is divided by 27181?\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -358382 - -358367.4933. Let u = 0.011 + 14.489. Let v = u + h. Round v to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**28*p)**(-3\/10)\/(p\/(p\/(p*p*p**(-45)\/p))*p*p**(2\/45)) assuming p is positive.\nAnswer: p**(1528\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -34649*u**2 - 94*u. Let x(t) = 13860*t**2 + 39*t. What is 5*h(a) + 12*x(a)?\nAnswer: -6925*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 933268081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -7 + 8 - (1 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q - q + 0*q + (-2 + 2 + q)*(0 + 3 - 1) - 3*q + 0*q + 5*q + 3*q + q - 2*q + (5*q - 3*q - q)*(-1 + 0 + 0) + 0*q - 4*q + 6*q.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1 = -2*m. Let c = -0.0637 + -0.0363. Put 0, c, m in descending order.\nAnswer: 0, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)*v\/v**(-4))\/((v\/v**(1\/3))\/(v\/(v\/((v**(-1\/4)\/v)\/v*v))))*((v*v\/(v**1*v))**(-4\/3))**(5\/3) assuming v is positive.\nAnswer: v**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18147 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 2*v**2 - v + 1. Let t be c(1). Let f be (-144)\/2*(-2)\/(-4). Calculate the common denominator of 33\/16 and 50\/f + t\/3.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3. Let x = -9.7 - -10. What is the nearest to i in -5, x, 4\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 82, 0.3, -6.2, 0.6, 3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/9)\/((-7)\/3). Let l = 33 + -33.2. What is the nearest to -2\/7 in p, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 751 divide 336495313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -114?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -64.5, 1, -0.118, 2, 5, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**(1\/26)*(m\/((m*m**(1\/3)*m)\/m)*m)**(-2\/187))**(-9\/7) assuming m is positive.\nAnswer: m**(1839\/17017)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 14 = 4*y, -u = -0*u + 3*y - 22. Let m(t) = t**3 + u*t**2 + 5*t - 24*t**2 - 6*t**2 + 32. Is 11 a factor of m(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 3:25 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 21 in increasing order.\nAnswer: -3, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 - 22. Suppose 97*f - s*f = -228. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 3*z = 246, 508 - 438 = 4*d - 3*z for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 - -0.91. Suppose 2*w - 5*b - 17 = 0, -2*w - 13 = 3*b + 2*b. Let t be -2*((-4)\/(-5) - w). Sort r, t, -0.5 in decreasing order.\nAnswer: r, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a - 2 + 2)*(6*a**2 - 3*a + 3*a) + 156*a + 14*a**3 - 156*a to the form c*a**2 + z*a + b*a**3 + l and give b.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-6))\/7*-1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4897, -19672, -44313, -78832, -123241?\nAnswer: -177552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -9*d + 168. Solve 36 = -d*a + 6*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-6))\/(3\/(-36)). Suppose r = -b*r + 5. Suppose 5 = -x + r. Put x, 4, 2 in descending order.\nAnswer: 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 3407?\nAnswer: -3410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*k - 4*o, -3*o + 22 - 32 = 2*k. Is k < 29\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbbbchhtccbhg. Give prob of sequence hg.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83.99999739 + -84. What is g rounded to seven decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15\/16 (b) 0 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21723*x**4 + x**2 + 509076?\nAnswer: -86892*x**3 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(2\/12*-3). Let s(f) = -f**y + 1 - 1 + 6*f**2. Let i(u) = u. Calculate i(s(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 + 74*h - 35*h - 39*h.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/10)\/((-60)\/(-150)). Which is bigger: -5\/96 or l?\nAnswer: -5\/96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -77345, -154690, -232035, -309380, -386725, -464070?\n\"Answer: -77345*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m + 4*m + 8 - 4*m + 14*m.\nAnswer: 36*m + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002893873 to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*((sqrt(3) - sqrt(6)\/sqrt(2)) + 3 + sqrt(3)) - 3*(sqrt(75) + (sqrt(75)*-3)**2)) + 2.\nAnswer: 102*sqrt(3) + 12188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/589, -0.04, -12\/11, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.38 + -0.68. Put z, 1\/2, -5 in increasing order.\nAnswer: -5, z, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + m - 5*m - 6 = 0, 14*m + 62 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g - 40. Let b be r(17). Let p = b - -72. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24da4 (base 14) to base 2.\nAnswer: -10110000110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2403*l + 48021. Give f(-20).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-849*m + 846*m - 22 - 4)*(2*m**3 + 0*m**3 + 0*m**3).\nAnswer: -6*m**4 - 52*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - t - 150, 30 = j - 2*t - 2*t. Suppose -k + 11*k = j. Sort k, -0.9, 1\/4 in increasing order.\nAnswer: -0.9, 1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a. Suppose -3*g + 14 = -4*t - 0, -3*t = 4*g - 2. Let z(v) be the first derivative of 1 + 1\/2*v**g + 0*v. Give z(p(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 0.2, 0, 4, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 733 = 4*t - 2222, 2*a + 4*t = 598. Let h = 301 - a. What is the remainder when 166 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31559 and 3344.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-25462501)\/(-930) - (-13)\/(-390)?\nAnswer: 11, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 15 = z, -2*n = -4*n - 6. What is the greatest common divisor of z and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000032143 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**5 - 207*u**4 - 3840*u**3 - 18756*u**2 - 15120*u = 0?\nAnswer: -42, -20, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -1 - 2. Let r be n\/(2 + -5)*-7. Suppose -4*j - l = -27, j - 4*l = 1 - r. What is the smallest common multiple of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 7*o**6\/3 - o**3\/3 - 6*o**2 - 44. Find the second derivative of t(y) wrt y.\nAnswer: 280*y**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1119 = -1123. What is the second biggest value in z, -4, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 36*z**2 - 1439*z - 38. Let y be u(40). Solve 0 = -5*x, 3*x - 6 = -y*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - c**2 - c + 4. Let a be t(-4). Let h(u) = -1032*u - 14434. Let d be h(-14). What is the greatest common divisor of a and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4796 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 plus 614241967?\nAnswer: 614241956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/432 and 191\/8480430.\nAnswer: 67843440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6693*n**3*w**2 - n**2*w**2 + 365*n**2 wrt n.\nAnswer: 40158*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 10 - 5 + 7)*(4*o**2 - 6*o**4 - 4*o**2).\nAnswer: 108*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + y + 15, 0 = -3*u + 5*y + 36 + 4. Let l be (0\/1)\/1 + 0. Let c be ((-1)\/8*2)\/(1\/(-4)). Solve l = h + c - u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/4 + 2474763*n\/4.\nAnswer: -3*n*(n - 824921)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.54954 days to microseconds.\nAnswer: 7391480256000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3356745 at most as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.5 + 6. Let g = 0 - u. What is the nearest to -1 in -5, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.13 (b) 5 (c) 0.09 (d) 127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(4\/2*17\/34). Find the second derivative of 2*g**3 - 14 - 58*g**4 - 4*g**2 + 34*g**4 + 27*g**4 + 4*g**n - 9*g wrt g.\nAnswer: 36*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 350350667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 4:56 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (2 - (21 - 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11318 (base 13) to base 7.\nAnswer: 160133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -170, -591, -1410, -2759, -4770, -7575, -11306?\nAnswer: -16095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8424741)\/(-2210))\/291)\/(1\/(-10))?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.8812 millennia in months?\nAnswer: 862574.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -18*b**3 + 849*b**2 - 1776*b + 945 = 0?\nAnswer: 1, 7\/6, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105.14 + -0.86. What is the nearest to l in -0.1, -2\/3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from mcbcmmmmbbmcmbmmpb.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c + 2. What is the tens digit of r(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 155*d + 2 + 2 + 7*d**2 - 2.\nAnswer: 7*d**2 - 155*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 take away 245.60949?\nAnswer: -507.60949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(2736) + sqrt(2736))**2 - (1 + sqrt(684))) + -1 + -2.\nAnswer: -6*sqrt(19) + 43772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -273*h**4 - 128*h - 13. Let w(a) = -48*a - 137*a**4 + 9*a + 8*a - 7 - 33*a. Let t(v) = 6*i(v) - 11*w(v). What is the second derivative of t(f) wrt f?\nAnswer: -1572*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-114)*13 - (-84)\/(-532))*-10 + 53?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3647000 rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l**2\/13 + 18184*l\/13 - 10914\/13 = 0.\nAnswer: -1819, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 222.6 - 227.6. Which is the fifth smallest value? (a) -2\/9 (b) -0.4 (c) -479 (d) r (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 57*q + 4. Let t be g(1). Suppose 4*w = v + 43 + 261, -t = -w + 4*v. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1548931 = 16*u + 17*u - 10799108. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2008, -413, -0.08 in decreasing order.\nAnswer: 2008, -0.08, -413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 0.41, 0.5, -1\/2, -3, -70?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - (-22 + 17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 8*c**2 - 2*c + 11. Calculate the remainder when v(-9) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/3, 1\/341, -0.3, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 44 = f, 5*r = -6 + 21. Suppose 5*x - f = 26. Calculate the highest common divisor of x and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 65*x**2 - 1. Let w be n(-1). Suppose -4*m + 2 = 2*f - w, 58 = 2*m - 4*f. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s + s + 9 + 8*s - 30. Let q(l) = -3*l + 11. Let m(p) = 4*j(p) + 7*q(p). Differentiate m(h) with respect to h.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 1:28 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001364932807 rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -3. What are the prime factors of ((-52)\/6)\/(4\/m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 24, -25, -1, 0, -10, -375.\nAnswer: -375, -25, -10, -1, 0, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 161915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*j*l + 68*g*j - 5*g*l**2 + g + 3*j*l**4 - 3*l wrt l.\nAnswer: -10*g + 36*j*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/17 (b) -1\/3 (c) 1\/6 (d) -8 (e) -84.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 12) in base 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 506 + -504. What is the closest to 2\/5 in h, -4, -5.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3327489, -3327368, -3327247, -3327126, -3327005?\n\"Answer: 121*q - 3327610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -7*y + 3*j + 5193, 0 = 4*y + 5*j - 10441. Suppose x - 4*m - 1296 = 0, -4*m + y = -10*x + 12*x. Round x to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 19 - 2*i**3)*(-2 + 6 - 3)*(-3 + 4 + 8) to the form g*i**2 + t*i + z + o*i**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508*o + 315*o - 43 + 64*o + 75 - 30.\nAnswer: 887*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is -2076.60218945 take away -4?\nAnswer: -2072.60218945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 1800*y**2 + 67405*y + 29785 = 0.\nAnswer: -37, -161\/360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 + 6*r**2 + 3*r - 2. Let x be 1887\/119 + 8\/7. Let s(f) = 8*f**3 + 17*f**2 + 8*f - 5. Calculate x*b(h) - 6*s(h).\nAnswer: 3*h**3 + 3*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/480*9*(-40)\/(-30). What is the closest to -2 in w, -4\/5, 3, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - z - 1. Suppose 0 = 3*p - 2*m, 7*m = 2*p + 2*m - 11. Let x(v) = 3*v**2 - v - 1. Determine p*x(f) + 2*i(f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17873788 is divided by 5503.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**4 - 2*t**3 - 128*t**2 + 4*t + 4. Let q(g) = -g**2 + g + 1. Let n(m) = -4*q(m) + u(m). Find the third derivative of n(r) wrt r.\nAnswer: 24*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -11*s + 2. What are the prime factors of o(-17)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + sqrt(2057)*2 + (sqrt(2057) - -2*sqrt(2057)) + -2 + (4*(sqrt(2057) - sqrt(2057)*-3) - (sqrt(2057) + -1*(-1*sqrt(2057) + sqrt(2057)))))**2.\nAnswer: 2640*sqrt(17) + 822836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71587 (base 13) to base 5.\nAnswer: 22444310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**2 + 50*l + 4. Let u be x(10). Solve -7*g + 8*g = u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c**3 + 30*c**4 + 17*c**4 - 35*c**4 + (c**3 - 2*c**3 + 4*c**3)*(-3*c - 3*c + 4*c) to the form h*c**4 + g + x*c**2 + m*c**3 + z*c and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 2*h - 3. Let c be d(-3). Suppose c = -3*f - f + 16. Solve -4*g - 4 = 4*u, 4*u + 5 = -f*g - u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 4:59 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 5)*(0*z + 13*z - 4*z + (0*z + 2*z + 0*z)*(-2 - 2 + 2)) in the form x*z + l and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7*20\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/198 + (-23)\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*m - 76 = 0. Suppose -m = -4*x + 14. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5*x - 17 = -12, 0 = 5*b - 2*x + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 2449176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615 is divided by 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 45 = 5*j, -2*u + 8 + 2 = 0. Let l(p) = p**2 + 10*p. Let m be l(j). Let o be (-3 - -2 - -1) + m. Is o at most -1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -169 - 539. What are the prime factors of s?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10873*d**2*r + 35*d**2 - 10*d*r + 593*d + 2*r wrt d?\nAnswer: -21746*r + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10) + -7 + (-572)\/(-65) + -44.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -371*d**6\/40 - 1063*d**5\/15 + 6343*d**2. Find the third derivative of u(i) wrt i.\nAnswer: -6678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-20))\/((-2)\/((-56)\/(-12)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o. What is the nearest to 0 in o, -2\/11, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-509)\/14761*(2 + -1 + 1).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*g = -1, -13*j - 4*g = -17*j + 28. Let d be (440\/225 + -2)*30\/j. What is the closest to -1 in d, 8, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28891, 28888, 28883, 28876?\n\"Answer: -a**2 + 28892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 3 - -7) + -12 - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.23351 millimeters in kilometers?\nAnswer: 0.00009223351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62596895083 plus -0.5?\nAnswer: 62596895082.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 791*x - 6838 = -1527*x + 255*x - 23342 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3215\/19 - 931723\/5510. What is the common denominator of o and 73\/754?\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -18. Let w = p - 1.2. Sort 1\/2, -1\/8, w.\nAnswer: w, -1\/8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5248\/(-160) + 27 - -6. Let l be 2\/8 + (-295)\/(-4). Which is the second biggest value? (a) l (b) 0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2649329?\nAnswer: 2649329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(-6)\/16*-8. What is the units digit of 2\/3 - 942\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22*56*(-280)\/(-6272)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -17*s**7\/210 - 3*s**5\/10 - 13*s**2. Find the third derivative of o(d) wrt d.\nAnswer: -408*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lffffffaafddfllffnf. Give prob of picking 1 n and 1 a.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a day in hours?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g**2 + 83*g - 5578. What is the tens digit of v(103)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**7\/630 - g**6\/360 - g**5\/90 - g**2 - 2*g. Let z(p) be the first derivative of i(p). Factor z(t).\nAnswer: t**2*(t - 2)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14662*a. Let x(k) = 7347*k. What is 6*t(d) + 13*x(d)?\nAnswer: 7539*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -1.66?\nAnswer: -0.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15850000 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by (24\/(-16) - -1)*-58.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(27))**2 + (sqrt(3) - (sqrt(3) + 1))**2 + -2.\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/9 - (-133)\/9. Let i be (-7)\/(-5) + (-6)\/15. Let w be (-15)\/(-9)*i*3. Calculate the highest common factor of w and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.4128 + 0.2828. Let p = 14.21 - z. Let g = p + -26. Round g to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076327 minus 1074595?\nAnswer: -1074594.923673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*s**3 - 18 + 224*s**3 + 16.\nAnswer: 404*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7 and -460.37835015.\nAnswer: -467.37835015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.925696 to two decimal places.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/10 + (-756)\/(-70). Suppose -5*d - f = -g - g, 0 = -5*g - d + 14. Solve -11 = h - 2*h + 5*t, 2*h + g*t + 4 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6366 rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + (-3 - -26) - (108 + 34).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 242689 >= 10678267\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(42\/(-19)) + (2 - (-16)\/(-12))?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 36153.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4683323560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 5:39 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2*(-2)\/24). Let v = -4 - q. Suppose -107*t = -111*t + 32. Solve 0 = 5*x - v*s - 24 + 4, t = 2*x - 2*s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*h - 126 = 697*h - 337*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/30 - (-4)\/(-10). Let n be 24\/16*32\/12. Which is the nearest to p? (a) n (b) -13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 6*j. Let b(z) = -z**3 - 7*z**2 + 9*z + 2. Let q be b(-8). Let x be h(q). What is t in 2\/3*t**3 - 4\/3*t**2 + x + 2\/3*t = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -93 and 98708846435.\nAnswer: 98708846342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 55071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*b + 221 + 99 = 132*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 78 + 64 + 3452*d - 224 + 82 as h*d + r and give h.\nAnswer: 3452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + p - 6. Let z = p - 3. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + v**2)*(-3 + 6 + 4)*(-3 + 0 + 5).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(34\/(-4)) - 792\/288.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1862062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 2. Let p be o(-4). Let k be 0*(0 - 3\/p). Suppose k*l = -l + 5, -2*u + 93 = 3*l. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173.5 times -1.0849\nAnswer: 188.23015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-24)*-44 + 1\/(-6). Sort -3, 5, -7, m in descending order.\nAnswer: 5, m, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*w + 3*w + 6, 3*w - 3*c = -18. Let m = -35 - -34.9. Let h = m - 1.9. What is the second smallest value in w, h, 9\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkqkkkkqkkq.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppuuupupuiui. What is prob of picking 1 u and 1 i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3 (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1026 is divided by 87?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 + -35)*5\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -9*h**3 + 450*h**2 + 5*h - 253. Calculate m(50).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 299661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23845 + 44146. List the prime factors of b.\nAnswer: 3, 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-10)*16\/8)\/(200\/320)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 448808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -768 + 2921. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32c - 11a?\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(-290)*40\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.2675 rounded to one decimal place?\nAnswer: -12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -10. Suppose -o = -0*o - m. Calculate the remainder when 6 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21539 - -43562. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 8. Let v be s(9). Let l be (-26)\/(-1)*(-1)\/(-2). Let q be (-2)\/2 + 15\/l. Is q smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (50\/90)\/(-5)*-6. What is the second smallest value in f, 2\/5, -28, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9648 at most 108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25262 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/10*4\/(-12)*20\/330.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 764*q**2 - 735*q**2 - 1 - 3 as p*q + l + g*q**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -26*h**2 + 2. Let j(v) = -82*v**2 + 7. Let z(c) = -2*j(c) + 7*k(c). Let p(i) = 49*i. Calculate z(p(u)).\nAnswer: -43218*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/3, -0.17, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1015, 4, 0, 5 in decreasing order.\nAnswer: 1015, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*t**3 + 107*t**3 - 257*t**3 - 82*t**3.\nAnswer: -350*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5285 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 44\/3, -0.4, -3\/7, 0.5, -10, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102571253.\nAnswer: 19, 5398487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 202.\nAnswer: 2828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 5*n - 31, q - 2*q + 4*n + 22 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12)*i**(-4\/11)\/i*i*i*i\/i**(2\/57)*i\/(i*(i\/(i**0\/i)*i)\/i))**(10\/9) assuming i is positive.\nAnswer: i**(-77740\/5643)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i - 28*i + 20 = 0. Let n be (-5)\/i + (-26 - -22). Which is the nearest to 2? (a) n (b) -3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1200, -2289, -3376, -4461, -5544?\n\"Answer: n**2 - 1092*n - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29b5 (base 13) in base 3?\nAnswer: -22022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105) - sqrt(105)*1)\/sqrt(3))\/sqrt(5) + sqrt(77)\/(1*sqrt(11)) + -1.\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + z - 1. Calculate the remainder when (z - -4)*(-46)\/(-3) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5*x - 5*x + 0 + 3*x.\nAnswer: 3*x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2803333411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 12*x - 26. Let h(n) = -n**3 + 12*n**2 - 36*n - 1. Let g be h(7). What is t(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 13*q**3\/6 + 4*q + 3. Let u(t) be the first derivative of y(t). Let h(k) = -3*k - k + 5*k - 3*k. Determine h(u(j)).\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 354151 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2. Let y(o) be the second derivative of 148*o**3\/3 + 259*o. Determine d(y(k)).\nAnswer: -87616*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**6\/120 - 8*o**3\/3 - 13*o**2. Let l(y) be the first derivative of a(y). Let h(i) = 0*i - 5*i + i. Calculate l(h(z)).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 18 = -5*v. Suppose -2*c = l + v, -2 = 2*l - 4*c - 4. Let b(a) = -7*a**3 + 6*a**2 - 8*a + 7. Let j(g) = g**3 - g**2 + g - 1. What is l*b(r) - 6*j(r)?\nAnswer: r**3 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8 + 26 - 7 - 10. Let y(l) = -2*l - 4. Suppose 5*f - 19 = 1. Let q(r) = f*n(r) + y(r). Let v(t) = 3*t. Give q(v(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - (29 + -31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 260*i + 305. Let t(d) = -29*d - 34. Let r(l) = -6*p(l) - 55*t(l). Find the first derivative of r(z) wrt z.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((1\/1)\/(4\/2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**5\/6 - 13*w**4\/3 + 59*w**3\/2 - 214*w**2\/3 + 170*w\/3 = 0.\nAnswer: 0, 2, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*p - 2*b - b, 3*b = -5*p + 8. Suppose 5*r = 2*g + 5, -p*g + 30 = -2*r - 0*r. What is the lowest common multiple of 22 and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4 - 2002\/(-3640)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**3\/3 + 3668*b**2\/3 + 1215650*b\/3 - 151290000 = 0?\nAnswer: -1025, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 7. Let d = -13 + 8. Let r be v(d). Suppose -s + 4*c = 6, 5*s = 3*c + 1 + r. Solve 22 = -a + 5*u, 0 = s*a + a + 5*u - 34 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*b - 63*b = 121*b + 6670 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347 - 3*m - 175 - 172 - m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89902781\/1888 - 47618. Is f at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1589524 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnnnwwwnwyynn. Give prob of sequence www.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/5 - 6504*k**2\/5.\nAnswer: -k**2*(k + 6504)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2375\/18 + 132. Let d(i) be the first derivative of 1\/6*i**2 - 1\/6*i**4 - 3 + 0*i + w*i**6 + 0*i**5 + 0*i**3. Factor d(m).\nAnswer: m*(m - 1)**2*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.4, -3\/6247, 1, -2\/7, 0.6, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 1. Let w be y(4). Suppose -12 = 2*c + 5*u - 2, c + 6 = -w*u. Let f = -2\/775 - -2339\/5425. Is c bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 712 divide 49445431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j**2 - 4*j + 7. Let t(q) = -8*q**2 + 5*q - 8. Calculate 5*n(c) + 4*t(c).\nAnswer: 8*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 7*z**2 + 6*z + 3. Suppose -4*v + t - 2*t - 20 = 0, 0 = -4*v + 4*t - 40. Give f(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0297? (a) -2 (b) 0.1 (c) 1\/34 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 12860700?\nAnswer: -6430350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - ((-25)\/(-60))\/((-60)\/(-312)))*-28?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8*s + 2*s**2 - 4 - 4*s**2 - 10 + 3*s**2. Let c be p(-10). Suppose 4 = 4*o, -4*y - o - c - 9 = 0. Let l(j) = -j + 2. Calculate l(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1212 + -7?\nAnswer: -1219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c - 13*c**3 - 10*c**3 - 2*c**3 + 2*c**3 - 2*c to the form m + n*c**3 + r*c + j*c**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576) - (sqrt(576)*2 - sqrt(576)) - ((sqrt(2916) - 2*sqrt(2916)) + sqrt(2916) - sqrt(2916)))\/(-2*(sqrt(80)\/sqrt(4))\/sqrt(10)*-4))**2.\nAnswer: 729\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 236214.7 milligrams?\nAnswer: 236.2147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 867494615 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 10:00 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 12:53 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/5 - 12*n**3\/5 + 64*n\/5.\nAnswer: 2*n*(n - 4)**2*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 5. Let v be c(6). Let h = 7 + v. Suppose 0 = -4*o, h*o = -3*d + 3*o + 30. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17590481659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1457 - -1468. Calculate the remainder when 911 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -15*v - 254. Let s be m(-17). Which is smaller: s or 1\/149?\nAnswer: 1\/149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-27) - 610\/(-30) - (-1 - -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1085744101*u**2 + 23177*u + 3622 wrt u?\nAnswer: -2171488202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -4, 2, 0, 188, 9, 5 in decreasing order.\nAnswer: 188, 9, 5, 2, 0, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from ggggggvgvvvggvgg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 minus 48.4212?\nAnswer: -48.0312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -1.4, 3.79, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 296922316 a multiple of 458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1846 and 0.3.\nAnswer: 0.4846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-1 + 6) + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (428 - 1182 - 14 + 12*o)*(-2*o**4 + 3*o**4 - 2*o**4).\nAnswer: -12*o**5 + 768*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56996 is divided by 18212?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -22, 0.1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 4*p**2 + 9. Let j be o(4). What is the highest common factor of 36 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*h + 8997 + 41439, -2*a + 25214 = 2*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (21 - -17) + -18\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**3 + 2*v**2 - 3. Let z(j) = 7*j**3 - 5*j**2 + 7. Calculate 7*n(w) + 3*z(w).\nAnswer: -7*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2354, -47 in ascending order.\nAnswer: -47, 12, 2354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbwb when four letters picked without replacement from bwbbbbbbw.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69195 = 1733*k + 244*k for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 33*h**2 - 89*h - 409. Determine w(36).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -12*c**5\/5 - 63*c**4\/5 + 33*c**3 + 21*c**2 - 153*c\/5 - 42\/5 = 0?\nAnswer: -7, -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2072 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 9*x**4\/2 - 131145*x**3\/2 + 1911525733*x**2\/8 - 1910738935*x\/4 + 1910476681\/8 = 0?\nAnswer: 1, 43709\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 22.07. Let p = j - -0.57. Which is the biggest value? (a) 0.2 (b) p (c) -2\/3 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1352*w**3 + 539*w**3 - 3229*w**3 + 1350*w**3.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278 divided by -139.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48385 divided by 9677.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3683.23126 rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3333021 + 111?\nAnswer: 3333132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2. Let g(c) be the first derivative of -2*c**2 - 1194. What is w(g(n))?\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -26. Let p be (264\/(-20) + 0)*15\/(-2). Calculate the highest common factor of g and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Suppose n = -i + 6. Suppose 0*j - 120 = -n*j. Solve 5*d - 4*p = j, d - 5*p = 11 - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 11:30 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 6*l**2 - 5*l - 7. Let w(y) = y + 9. Let o be w(-8). Let j be 2 + (-497)\/28 - o\/4. Let v(t) = -t - 11. Let f be v(j). Give m(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -2. Let l be 12 + ((-15)\/5 - c). What is the second derivative of -h + 6*h - 4*h - 5*h**3 + l*h wrt h?\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(90\/39) - 13\/(78\/(-4)). Put -2\/11, 0.2, y, 1\/3, -0.5 in descending order.\nAnswer: 1\/3, 0.2, -2\/11, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -58*q**5 - q**4 + 160*q + 3. Let a(n) = 59*n**5 - 161*n - 2. Let p(k) = -3*a(k) - 2*i(k). Find the second derivative of p(g) wrt g.\nAnswer: -1220*g**3 + 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43077592 and 124100?\nAnswer: 4964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -9) + -3 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 287, -15.3, 1\/7, 0.1 in descending order.\nAnswer: 287, 1\/7, 0.1, -15.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -747362, -3, 5 in ascending order.\nAnswer: -747362, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*b**3 + 3*b**2 - b**4 + 26*b**3 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 528036?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 41?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15104 is divided by 219.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.2 (b) -2 (c) 4 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-28)\/(-168))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g - 7*g**2 + 3*g**2 + 8 + 4*g - 6*g - g**2 as o*g**2 + b*g + n and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 150125?\nAnswer: 900750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 868051963 to the power of 1\/2, to the nearest integer?\nAnswer: 29463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/18)\/((-2)\/(-4)*1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 5*v - 2. Let w(d) = -d**2 - 6*d + 2. Let m(g) = -5*w(g) - 4*x(g). Let q be m(-10). Is 14 a factor of q\/11 + 1854\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqqqqqqqqqqj. What is prob of sequence jq?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4323137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m - 22*m - 1768 - 284 = 0 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48416 (base 9) to base 14.\nAnswer: -bb55","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 15\/2. Let f = -0.5 + 5.5. Let o = 5.3 - f. Is o at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -489 - -672. List the prime factors of o.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 60 = -59. Let v = h + 14. Let w be -15*(0 - (-1)\/v). Solve -w*i + 20 = -k, -5*i + i + 16 = -3*k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-3 - (-2)\/(-3)). Let d = k - 24. Let p(q) = q**2 + 15*q + 8. Let a be p(d). Are a and -18 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -265 - -152. Let r = 27324.3316 - 27211.3. Let j = r + m. Round j to 3 decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 4.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13083707, 13083638, 13083449, 13083080, 13082471?\n\"Answer: -10*w**3 + w + 13083716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 91 in 2, 0.0837, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -69607.85 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 + 4*v**2 + 4*v + 8. Suppose 22 + 47 = 2*c - o, 2*c = -5*o + 75. Let f = -38 + c. What is the tens digit of i(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 242041? (a) 2 (b) -12 (c) 0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 257. Let l(i) = 5*i - 1029. Calculate 2*l(c) - 9*m(c).\nAnswer: c + 255","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 45 = 155. What is the smallest common multiple of (l\/(-1))\/(0 - 1) and (-48)\/(-28) + (-6)\/(-21)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9529014?\nAnswer: 2, 3, 11, 144379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -461\/2, 5\/14, -3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -175*l**3 - l**2 + l + 4. Let y be k(-4). Let b = y + -156501\/14. What is the common denominator of 13\/14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.31 - 19.31. Let u be 5\/6*(-15)\/(-50). Which is the third biggest value? (a) s (b) 0.06 (c) -0.02 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(76) - (sqrt(76) + -1))*-6 + -2 + (sqrt(228) - (sqrt(228)*-2 + sqrt(228))*-1)\/((sqrt(144) - (sqrt(144)*-1 - sqrt(144)))\/sqrt(12)))**2.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*i = -342 + 1072 + 208 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbki. What is prob of picking 2 k and 1 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 25327434 divided by -4\nAnswer: -12663717\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 23*d**5\/60 + 43*d**2. Let v(i) = -i. Calculate n(v(m)).\nAnswer: 23*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 25627840?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 12:55 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = a - 13. Suppose 0 = -a*f + 23 + 27. What is the remainder when f is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**5\/60 + 7*g**4\/18 + 14*g**3\/9 - 20*g**2 - 3126*g. Determine h, given that i(h) = 0.\nAnswer: -10, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -25673388*k + 69468. Let m(l) = -3326*l + 9. Determine -3*a(n) + 23156*m(n).\nAnswer: 3308*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 7*k**2 + 2*k - 27. Determine m(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 1. Let f = 25 + -51. Let g = f - -23. Which is the third smallest value? (a) 3 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405897 - -232139963?\nAnswer: 232545860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 4) + (-2 - -5) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*l = 2. Suppose 4*i + l*x = 4, -4*i = 2*x - x - 6. Suppose 4*b = -3*t + 17, i*t = -0*t - 2. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, s: 8, r: 1, a: 5}. What is prob of sequence rgs?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2590349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7166555?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 12*o**2 + 3*o - 230. Let w(r) = 441*r - 7*r**2 - 6*r**2 - 444*r + 231. Let x(a) = 5*j(a) + 6*w(a). What is the first derivative of x(v) wrt v?\nAnswer: -36*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-63))\/(118\/531)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0551 + -1.8511. Let o = r + 1.8. What is o rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 105\/(-75) + 468\/20. Solve -7*n - 4*n = g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-216)\/(-576))\/((-16)\/(92800\/75)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-99)\/(-6)*-2*6\/(-18). What is the first derivative of 47 + c*q**3 - 26 + 5*q**4 + 16 wrt q?\nAnswer: 20*q**3 + 33*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -719790, -719757, -719666, -719487, -719190, -718745, -718122?\n\"Answer: 5*n**3 - n**2 + n - 719795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.633 + 56150190\nAnswer: 56150193.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(1700)*4 + sqrt(1700)).\nAnswer: -200*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2584595 or -2584523?\nAnswer: -2584595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114418219.\nAnswer: 73, 15266003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*m - 5*m. Which is smaller: -1\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifteen quarters of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 2\/5 (b) 2 (c) -30323 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (9 + -24 - -16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49268280 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(12\/(-364))*5. Let v = u + 263. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1831086.1974 to the nearest ten thousand.\nAnswer: -1830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120230*h*i**3 + 9*h*i - 254069*h - 14*i**4 wrt i.\nAnswer: 721380*h*i - 168*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 2*j - 3*j)*(1 - 2 - 4).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371303*o**2 + 742622*o**2 - 371309*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**2 + 26967 - 53938 + 26971.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83 and 1411.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/1 - (0 - 43). Suppose 3*p - 2*d - o = 0, p - 12 = 2*d - 0. Let l be (-18)\/(-8) + (-4)\/p. Solve -2*t = 4*j + 2, -3*j = -l*t - 0*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1979*c + 91459 = 67473 + 100683 + 119224 for c.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 13 - 53)*(o - o - 3*o)*(0*o**2 - 2*o**2 - 8*o**2).\nAnswer: -1170*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 123?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*u + 4*u + 8*u - 13 + (-2 - 3 + 6)*(0 - 2*u + 0) in the form d*u + p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136 + 144. Suppose -k*q + 1827 = q. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**3 + 28*l**2 - 51*l - 145. Determine u(-9).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - 252\/36)\/(-27).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 3033.\nAnswer: -5\/3033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -46 - 10*a**3 + 47*a**3 + 121. Let b(w) = 2*w. Determine b(s(u)).\nAnswer: 222*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 88. Let i(t) = 18*t**2 - 2*t. Give i(v(c)).\nAnswer: 18*c**2 - 3170*c + 139568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6099, 12211, 18343, 24489, 30643?\nAnswer: 36799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-18) + (103\/63 - 2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286 = -46*b + 126*b - 1566 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/10 and 97\/4939746.\nAnswer: 24698730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/7176 and 29\/1104?\nAnswer: 14352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2292)\/(-26) - (-16)\/(-104). Let d be a\/20 + 4\/(-10). Solve -2*s = -d*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/11*(-209)\/((-380)\/(-20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2481948 divided by 201?\nAnswer: -12348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -1, 3, -218 in ascending order.\nAnswer: -218, -4, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (24 - 49) - 18.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333 and 3552.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggdg when four letters picked without replacement from {d: 1, g: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 7:19 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4761 - 3210 - 70*r**3 + 69*r**3.\nAnswer: -r**3 - 7971","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 147 + 140 + 2*d**2 - 36*d**3 - 290 + (d + 4*d - 3*d)*(0*d**2 + 2*d**2 - d**2) + d**3 + 4 - 4 + 3*d**3 - 4*d**3 + 3*d**3.\nAnswer: -31*d**3 + 2*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 576, 732, 536, -18, -936, -2224?\n\"Answer: -q**3 - 170*q**2 + 673*q + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 118*-116593\nAnswer: -13757974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -78942, -78929, -78916, -78903, -78890, -78877?\n\"Answer: 13*g - 78955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 714 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 0 in decreasing order.\nAnswer: 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upbp when four letters picked without replacement from cpuuuuubpcu?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64038010?\nAnswer: 2, 5, 59, 311, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.23 - -1.17. Let k = w + -1.2. Which is the closest to -1? (a) k (b) 1.1 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108821376 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 297621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 1. Let v = -116 + 114. Let u(l) = -4*l - 6. Let c be -1 - (0 + (1 - 1)). Give c*u(o) + v*m(o).\nAnswer: 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) 0 (c) -4 (d) -10 (e) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*r**2 + 97*r**2 - 20*r + 59*r**2 - 20*r - 150*r**3 + 45*r**4.\nAnswer: 5*r*(r - 2)*(3*r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26 + 40?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0.7. Let x be (0 - (2 + -3))*5. Suppose 4*c + x*t = 3*c + 11, 5*c - 9 = -2*t. What is the closest to 1\/3 in 2\/11, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -5. Suppose m - 9 = -d*m. Suppose 3*x - 2*i + 6*i = m, -3*x = 5*i - 12. Sort 4, -5, x in increasing order.\nAnswer: -5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 3, e: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**3)**(-13)*f**8\/f**(2\/29) assuming f is positive.\nAnswer: f**(607\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -210794198 - -34\nAnswer: -210794164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -2\/70123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = g - 4*g. Which is the third smallest value? (a) 2\/5 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211587 is divided by 2980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 14 + 10. Let s be -165 + (-2)\/((-2)\/w). Let l be (-36)\/s - (-38)\/(-9). Round l to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*a - 4*a**3 - 13*a - 16*a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23642 - 23636.4777. Round k to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 26 - 19 = 0. Let p = 55.5 + -55.2. Which is the second biggest value? (a) -5 (b) v (c) p (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -594 by -3.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1993960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 1. Let h(c) = 6*c**3 - 10*c**2 + c + 1. Let q(x) = -h(x) + j(x). What is the third derivative of q(u) wrt u?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**5\/5 + 24*c**4\/5 + 162*c**3\/5 - 108*c**2\/5 - 243*c - 972\/5 = 0.\nAnswer: -3, -1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10 - 6*x + 3 - 2*x. Let z be (1 + 1)*(-28)\/8. Is d(z) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999915?\nAnswer: 3, 5, 7, 89, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -be565?\nAnswer: be567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 3*d**2 - 2*d - 10. Let r be l(-3). Let y = 1 + 1. Let c(n) = 2 - n**2 - y*n - 3*n + 4*n. Determine c(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24858698*y - 64635 + 19451 = -24858345*y for y.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17 - (-4 + 20))\/(-1). Solve -181*l = -170*l + i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2580 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1525414 - -5?\nAnswer: 1525420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.134 - -6.034. Which is the second smallest value? (a) 4 (b) -12\/17 (c) 0.06 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/3 + 7\/6. Let l = -28.7 + -22.3. Let f = l + 52. What is the second biggest value in p, f, 0.04?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 9 + 14 - 10 - 1009*k**3 - 33*k**3.\nAnswer: -1042*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42622, -87944, -133266, -178588, -223910, -269232?\n\"Answer: -45322*t + 2700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (156\/13)\/((-3)\/(-24)). Calculate the highest common divisor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 240\/(-28)*(-1 + -27). Let k(f) = -11*f + m*f**2 + 7*f - 241*f**2 - 4 - 1. Calculate k(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -47 (b) -0.7 (c) 0.3 (d) 0.111 (e) -5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2005*o**4*u - 2*o**4 + 10190*o**2*u wrt o.\nAnswer: 48120*o*u - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13510159 rounded to three dps?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 25.2, 381, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008578771 rounded to 7 dps?\nAnswer: 0.0008579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/16 + (-7)\/56?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380 and 860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 18 = -2*s, -22 = -2*u + s + 11. Solve h = -0*h + 3*d, u = 3*h + 5*d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 44449680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110.49998254 + 110.5. Round y to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -30*p + 21. Let l(k) = -19*k - 26*k + 15*k - 61*k + 65. Let x(g) = 2*l(g) - 7*z(g). Find the first derivative of x(d) wrt d.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 2, -104 in increasing order.\nAnswer: -104, -22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1 + (-5 + 3 + 4)*(0 - 1 - 1))*(p - 35*p**2 + 10*p**2 - 1 + 16*p**2).\nAnswer: 18*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 24516708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*u = 26*u - 138 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 11:11 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + k = 24. Let h be ((-4)\/k)\/(16\/(-312)). Let o = h - -8. Put -2\/3, 0.1, o in descending order.\nAnswer: 0.1, -2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-7 - -2) - (19 - (16 + 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 d, and 1 l when three letters picked without replacement from {e: 4, c: 1, z: 1, d: 1, l: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(539))**2 + sqrt(11) + 5 + 3.\nAnswer: sqrt(11) + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 181*d + 2539. Calculate k(72).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.6, 0, -16, -25, -2\/7 in ascending order.\nAnswer: -25, -16, -2\/7, 0, 0.1, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*k + 297 = 0, -5*q + 89*k - 88*k + 700 = 0. Is q less than 134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 106348, 212675, 319004, 425335, 531668, 638003?\n\"Answer: s**2 + 106324*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = 5*i - 2224. List the prime factors of i.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -43.7. Let q = -1.709 - x. What is q rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/276380 and 33\/305.\nAnswer: 16859180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -9*b**3 + 6*b**2 - 6*b. Let c(z) be the third derivative of z**6\/15 - z**5\/12 + 5*z**4\/24 - z**2. Suppose -24 = t - 30. Calculate t*c(v) + 5*q(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 22. Let b be ((-27)\/36)\/((-2)\/k). Solve -11 = 5*n - 10*n - 3*f, -15 = -b*n + f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*g**4 + 13848*g**2 - 27690*g**2 + 65 + 13842*g**2 - 18*g wrt g.\nAnswer: 48*g**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -80, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t**2 - 4 - 9*t**2 - 2*t - 8*t**3 + 12*t**2 + 4 as n*t**2 + d*t**3 + x + p*t and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45211163 + 2?\nAnswer: -45211161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-36)\/(-8) + -4). Is (0 - (-2)\/i) + 866 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 243\/5. Suppose 29*n = -17*n - 8*n. Put -0.4, -3, i, n in ascending order.\nAnswer: -3, i, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.121032ml in litres?\nAnswer: 0.004121032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.599 - 16.599. Put p, 381, 5 in decreasing order.\nAnswer: 381, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 5:29 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.41 in -3, -1588, 0.3, -11, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 42324*s - 42321.\nAnswer: -3*(s - 14107)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59006 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -1\/6*x**3 - 1\/20*x**5 - 5\/2*x**2 - 20*x + 0 + 1\/12*x**4. Calculate c(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*g - 65*g + 241*g + 200*g)*(3*g + 22*g - 4*g).\nAnswer: 6132*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -1\/3 (c) 1896\/31 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -599130, -1198261, -1797394, -2396529, -2995666?\n\"Answer: -q**2 - 599128*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 148 and 142?\nAnswer: 10508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.48 and -11883.\nAnswer: -11883.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 9*i - 8. Let j = 8 + -5. What is the remainder when (-14)\/(-1) - (j + 0) is divided by m(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2. Suppose 510*o - 531*o = -84. Let q(k) be the second derivative of -29*k - 7\/12*k**o + 0*k**2 + 0 + 0*k**3. Give g(q(t)).\nAnswer: 196*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/6)\/((-111)\/(-36) - 3). Suppose u = 3*f + 20 - k, 4*f = -u + 7. Suppose 42 = -9*a + u*a. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3648 and 27\/10?\nAnswer: 18240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -137347.\nAnswer: -137350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, -4, 54.85, 0 in descending order.\nAnswer: 54.85, 3, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a gram in milligrams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 7*p - 8. Let a be k(-6). Let o = -5 - -5. Let f = -7.5 + 7.7. What is the closest to a in o, -1\/2, f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3995*u - 6804 = 3743*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19\/28 - 3\/7. Let u = 0.41 - -0.09. Let c = u - 0.6. What is the second smallest value in -3\/8, r, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + j**2 + 1)*(3*j + 12*j + 9*j)*(-58*j + 36*j + 30*j - 8).\nAnswer: 192*j**4 - 192*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b**2 - 6*b + 187. Give r(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625809382 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406*j - 507662 = -447*j. Is j a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68214*w - 88434?\nAnswer: 68214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -529966*p**4 + 1246*p**5 + 529966*p**4 + (-16*p**3 - 26*p**2 + 26*p**2)*(-3 + 3 + p**2).\nAnswer: 1230*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - ((-228)\/5 - (-10)\/(-25)). Suppose 0 = -2*g + 3*g - 21. What is the highest common factor of c and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) -5 (c) -309 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.18 (b) 3\/2 (c) 25 (d) 0.3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a centimeter in micrometers?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*i = -3*k + 4, 0 = k + 2*i - 12. Suppose 3*z - k*z = -2. Suppose 18*t - 12*t**z - 3*t - 6 + 24*t**3 - 21*t**3 = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15508 divided by -3877.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2*t)\/t**(-7))**(2\/105) assuming t is positive.\nAnswer: t**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 9:40 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 30 = 6. Calculate the highest common divisor of 21 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 7*o**2 + 2083*o - 26045. Determine l(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-4) + 189\/12. Suppose -2*y + 60 = -y - 4*i, 3*i + 6 = 0. Suppose d = -q + 8, l = -4*q - 5*d + y. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5577110 and 539?\nAnswer: 39039770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1 (b) 0.2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 + 1 - 1)*(-2 - 3 + 3 + (3 - 1 - 5)*(23 - 5 - 2)).\nAnswer: -250*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26591 + 5759?\nAnswer: 3123a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 4*r - 3. Let n be f(2). Let j = 10 - n. List the prime factors of j\/3*1 + 7300\/60.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1550.447 rounded to the nearest integer?\nAnswer: -1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41187 + -2150. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*a + 9 - 3 - 7 - 5 as k + v*a and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 + 1668*i**3 - 494340*i**2 - 209293700*i.\nAnswer: 4*i*(i - 353)*(i + 385)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/11)\/c**13*(c**(-9)*c)**(-39))**(8\/7) assuming c is positive.\nAnswer: c**(3760\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 847800, 847787, 847772, 847755, 847736, 847715?\nAnswer: 847692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2405)\/(-370) - (7 - -1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2\/5 + 1047*s + 308172\/5 = 0. Calculate s.\nAnswer: -1684, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116280 is divided by 548?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + z = -128, 4*o - 285 + 110 = -3*z. Calculate the greatest common factor of 172 and o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64114076 + -64114074.99999942. Let b = n - 1. What is b rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 27*t**2 + 59 + 2*t**2 - 19 - 15.\nAnswer: 29*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 31993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*j - 13*j - 9*j)*(-49*j**4 + 186*j**2 - 186*j**2).\nAnswer: -2548*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6501456.\nAnswer: 2, 3, 13, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.71+1.6\nAnswer: 0.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 8*h + 38, -88*h + 23 = 2*s - 83*h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 11*q**4\/12 + 2*q. Let i(v) = 63*v**2 + 12*v. Let x(s) = 53*s**2 + 10*s. Let k(p) = -5*i(p) + 6*x(p). Give g(k(l)).\nAnswer: 99*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 3356236.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -194 times -18\nAnswer: 3492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7809, 15642, 23441, 31200, 38913, 46574, 54177, 61716?\n\"Answer: -i**3 - 11*i**2 + 7873*i - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 0)*-1 - 0. Let k = -362 + 362.1. Let l = 777 - 771. Which is the second smallest value? (a) l (b) g (c) k (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1403775 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 132*k**2 + 4055*k + 981. Determine a(83).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -238 + 243. Let u(g) = 4*g**2 - 9*g + 4. Calculate the remainder when u(m) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -o + 12, -5*o + 4*l - 12 = -10*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44*v**4 + 23*v**3 - v + 10707.\nAnswer: -176*v**3 + 69*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z - 9*z + 10000 = 0. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 11?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/6, 120, -0.27, -2 in descending order.\nAnswer: 120, 1\/6, 0, -0.27, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 818987\nAnswer: 2456961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*o. Suppose -u + 5*d + 181 = 0, -2*u + o*d - d + 351 = 0. What is the highest common divisor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1088) - sqrt(1088)*2) + sqrt(17) - sqrt(51)\/(1*sqrt(3))) - ((-2*sqrt(170))\/sqrt(10) + sqrt(153)*-6))**2.\nAnswer: 45968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, a: 4, m: 2, u: 1, g: 3}. Give prob of picking 2 a.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + 2 - 7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7961a + -1?\nAnswer: -7961b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + 112. Let m(t) = -5*t + 7. Let q be m(7). What are the prime factors of a + 0 - 7\/(q\/12)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1155.94 micrograms to milligrams.\nAnswer: 1.15594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(-3)\/(-36) + (-2)\/6. Suppose -8*p + 9*p = z. Solve p*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 2 + 133*k**3 - 10 - k**4 + 5 + 2 to d*k**2 + x*k + f*k**3 + a*k**4 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25412 + 36149. Let l(b) = -10750*b - 5 + 4*b**2 + c*b + 2*b**2. What is the smallest common multiple of l(5) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*t + 1 - 21*t + 528*t + 36*t + 451*t to d*t + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 26 = -3*b. Let i(x) = x**2 - 7*x + 1. Let p be i(b). What is the tens digit of (11 - p) + 0\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - p + 1. Suppose 2*x - 2 - 6 = 0. Let a = -2 + x. What are the prime factors of q(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12 + -20.\nAnswer: -19.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 9:12 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2383049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-184)\/(-14))\/(47\/(2303\/(-14))))\/(1\/(-2))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -141 + 155. List the prime factors of (-2*1)\/((168\/(-2502))\/p).\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11527713*s**3 - 280424*s**2 + 18*s wrt s.\nAnswer: 69166278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmgg when four letters picked without replacement from ccmgggcgmvmcffgmffmc?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 5 = -a, -276 - 67 - 37 = -g + g + 76*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 35 = -4*d - 3*y, 0 = -3*d + 4*y - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 7:23 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22647335.\nAnswer: 5, 19, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 y when four letters picked without replacement from jyyllsuuyl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 87. Suppose -3*l = -10*t + 5*t - 288, -l + 95 = -y*t. Calculate the remainder when l is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 40*t + 51. Let g be v(-41). Suppose g = 4*y + 102. Which is the second smallest value? (a) y (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 - -539\/6. Let v(j) = -j + 1. Suppose -8 = 4*p - 2*p. Let q be v(p). What is the biggest value in q, m, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 508, 732, 954, 1174, 1392?\nAnswer: 1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 45 = -i. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.731*25\nAnswer: 293.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*a - 138 = 0, 2 = -3*p - 2*a + 140. Let y = -30 + 12. Let n = y + p. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.08 - -0.08. Let w = s + 8.1. Let d = -0.1 + w. Sort d, -0.2, -0.4 in decreasing order.\nAnswer: d, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.111 from -3704.\nAnswer: -3703.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405317137 is divided by 860?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 7665.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-380)\/(-342)*(-3)\/(-5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -22.2167 at most -1.68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12 + (-69)\/(-18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 151956?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*a - 602 - 1279 = 127 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*12.72.\nAnswer: -127.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 + 0 + 0 + 1 - 1 + 2*n**2 + (-2 - 2*n + 2)*(2 - n - 2) + (0*n - 3*n + 6*n)*(-n + 4*n + 0*n).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + u = 19807, -3*u = -4*z + 3523 + 12334. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.911273 millennia in decades?\nAnswer: 291.1273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.1, 5075, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + -2*sqrt(605) - -4*(-1 + sqrt(605)) - 3*(0 + sqrt(605) + 5)).\nAnswer: -44*sqrt(5) - 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 6. Let l(y) = -1. Let p(n) = 2*l(n) + q(n). Let g be p(0). Solve -2*t + 9*v = g*v - 10, 5*t = -3*v + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*n + 5*r, -7*n = -2*r - 9 + 38 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 870069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 + 1.165. Let c = -0.865 + k. Is c less than 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-2) + 2256\/288)*-12. Which is the closest to -3\/7? (a) -5 (b) 6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 g, 1 k, and 1 d when four letters picked without replacement from egdbdeedkydekyd?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*g + 44 = 3*z, -2*z + 3*g = 18. Let s = 15 + z. Put 4, 1, s in ascending order.\nAnswer: 1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c - 2*s = -17*c + 8, c = -3*s - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1\/7, 5, 861305?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0183916347 to 4 dps.\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 3*n**2 + 6*n - 7. Let u be y(3). Let l = u - -902. List the prime factors of l.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 2824.\nAnswer: 31064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 13. Let o be -3*(6\/(-5) + 1). Let a be (3*2)\/(3\/2). What is the nearest to 1 in a, o, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 584064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3) + (-8132 - 2). Let a = -2733377\/336 - f. Calculate the common denominator of 39\/14 and a.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 11, 66, -3, 1\/3.\nAnswer: -3, -1\/5, 1\/3, 11, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, 0.16, 38, 0.5, 1?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -11. Let i = -0.29 + 11.29. Let f = z - i. Put -6\/7, f, 0.3 in decreasing order.\nAnswer: 0.3, -6\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142*h**2 - 76*h**2 + 184*h**2)*(2*h - 4*h + 4*h + 5*h - 3*h - 5*h + (-2*h + 0*h + 0*h)*(-1 - 3 + 2)).\nAnswer: 750*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2238, -4482, -6728, -8976?\nAnswer: -11226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.05, -2\/11, 6, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5 = -0. Let y(s) = -14*s**3 - s**2 - s. Let q be y(w). Let n be ((-56)\/1)\/(-2) + 0. Calculate the greatest common divisor of n and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8*c = 80. Let x be c\/(-6)*120\/50. Let k = 12 + x. Solve 3*j + k*t = 18, 4*j + 3 - 2 = 3*t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82266.\nAnswer: 2, 3, 13711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 156636 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.987461us to seconds.\nAnswer: 0.000000987461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14710979.\nAnswer: 14710979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21350912 and 32384.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2779 is divided by 918?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qoeqeqaaaccqezeeea. What is prob of picking 1 e and 2 c?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67290 + (-19)\/(-76)*-28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 5*p + 47, -5*p - 20 = -65*a + 61*a + 51 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c40829 + 3?\nAnswer: 5c4082c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -435, -899, -2155, -4599, -8627?\nAnswer: -14635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(5600) - sqrt(5600))\/sqrt(8))**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 20160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281349 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(((m*m**(-27))\/m)\/m))\/m**1*(m\/((m*m\/(m\/(m\/m**(7\/4)))*m)\/m))**(4\/39))**(-20) assuming m is positive.\nAnswer: m**(-7300\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2177555?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6330 + -6332. Let q = -2 + 2. Let g = q + -1. What is the nearest to g in -0.4, l, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 484\/1215 + 2\/1215. Let d(v) be the first derivative of f*v**2 - 7 - 1\/15*v**3 - 3\/5*v. Find r such that d(r) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (13 - 6) + (0 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14485, -14484, -14483, -14482, -14481?\n\"Answer: f - 14486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(1*sqrt(396) + sqrt(396) - sqrt(396)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 14 + 32\/9*m - 8\/9*m**2 + 5\/9*m**4 - 4\/45*m**5 - 8\/9*m**3. Suppose o(h) = 0. Calculate h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 3)*(-52)\/182. Which is the nearest to -0.1? (a) -0.4 (b) 1\/2 (c) 4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**3\/6 + 325*i**2\/6 + 72*i + 10580. Find j, given that s(j) = 0.\nAnswer: -216, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1137615?\nAnswer: 3, 5, 149, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/3 + 425536*h\/3 + 2978801\/3 = 0. What is h?\nAnswer: -7, 425543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**4\/12 - g**3 - 3*g**2 + 712*g. Calculate r(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/5 - 116931*a\/5 - 8647418\/5 = 0.\nAnswer: -116857, -74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7 in -4, -78\/11, 3, 0.1, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -22, -0.9, 1\/5, 4 in descending order.\nAnswer: 4, 1\/2, 1\/5, -0.9, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d - 70870 = 20900 + 63588. What are the prime factors of d?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 4*n)*(0 - 1 - 2).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 69?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361.6 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, p: 9}. What is prob of sequence ppk?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 63. Suppose -4*t + r = 4*a, -22*t - 12 = 4*a - 26*t. Sort 39, -2, 3, a in decreasing order.\nAnswer: 39, 3, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j**3 + 73*j**3 + 77*j**3 - 21*j**3.\nAnswer: 107*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**5\/3 - 476*j**4\/3 + j**3\/3 + 476*j**2\/3 = 0?\nAnswer: -476, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 106667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12844 - 12840. Solve -i - 7 = j*h + 20, -3*h = -i + 22 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 2:39 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-8) - 2338197\/(-204)) + 5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112623636.\nAnswer: 2, 278155909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*j**3*x - 569*j**2*x - 249*j**2 + 62264*j - 64*x + 3 wrt j.\nAnswer: 126*j*x - 1138*x - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 10)*(0 + (-2 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -4 + 10 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 + -0.09. Which is the closest to l? (a) 0.1 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18467 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231500 (base 6) to base 7.\nAnswer: 111555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185694 is divided by 9006?\nAnswer: 5574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3780316 + -25?\nAnswer: 3780281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 695375841?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Let r = 0.06 - 15.06. Let x = r - -14. What is the closest to x in 0.2, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/((-6)\/(2352\/14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4022042422232 + 3?\nAnswer: 4022042422240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) 2\/3 (c) 2\/21 (d) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1465*d - 27658 - 3107 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -412*d**3*u**3*w - 83834*d**3*u**3 - 50349*d - 3*u**3 + 37*u**2*w wrt d.\nAnswer: -2472*d*u**3*w - 503004*d*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 - 6.5. What is the third smallest value in g, 2\/13, 0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 165856844 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-4*(sqrt(17) - (0 + sqrt(612) + sqrt(17))) + (sqrt(102) + -2*sqrt(102))\/sqrt(6)*6)**2 + 1) + -5)*2.\nAnswer: 11008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9 times 1.13?\nAnswer: 5.537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1633*r + 1655*r - 3304*r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87 + 90. Let f = 2.892 - p. Let h = -1.892 + f. Which is the nearest to 1\/4? (a) -0.5 (b) 2\/11 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 0*t**5 - 33\/2*t**3 + 2 - 16*t - 9\/14*t**7 + 0*t**4 + 0*t**2 + 0*t**6. Find the second derivative of x(j) wrt j.\nAnswer: -540*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (3 - 0 - -2) - 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4544544 divided by 24?\nAnswer: -189356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 20. Suppose 0 = 3*j - 9 + 141. Let m be 4\/2*(-11)\/j. Which is the closest to m? (a) -2\/7 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/501696 and -37\/219492?\nAnswer: 3511872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20 - 8 = 0. Let f(z) = z**2 + 9*z + 27. What is the remainder when f(-5) is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-14) + -1)\/(118\/413)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 377684561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/4 - (-99)\/36)\/(311\/311). Factor 18\/5*n - 42\/5*n**2 + 4 + 4\/5*n**v.\nAnswer: 2*(n - 10)*(n - 1)*(2*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 8133629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 6 - 2\/2. Let c = 0.011 - -10.989. What is the second biggest value in y, c, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 2.6. Which is the third smallest value? (a) 2\/69 (b) s (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14\/11 (b) 2\/3 (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -12.3\nAnswer: 61.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*4.\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2163, 2.\nAnswer: -2163, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*c + 13 = 176. What is the biggest value in c, -0.5, -49, 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -5. Let l = 36 + -21. What is the common denominator of (-770)\/l*g\/16 and -49\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + ((-5)\/10)\/(4 - 1515\/378). Sort -13, 4, a in decreasing order.\nAnswer: a, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h + 1907 = -4869 - 3584. What is the remainder when h is divided by 142?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q - q - 14352. Calculate the highest common divisor of q and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkvr when four letters picked without replacement from kkkvkrvvkvrkr.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 1348, 3330, 6148, 9796?\nAnswer: 14268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5260*w**5 + 420*w**2 - 2*w - 2 wrt w.\nAnswer: 315600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, o: 5, j: 3, c: 5, l: 2}. Give prob of picking 1 o and 1 c.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -8. What is the lowest common multiple of 8 - ((-8)\/4 + i) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4794872*b**2 - 470773351 wrt b?\nAnswer: -9589744*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 88597.\nAnswer: 4\/88597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnp when three letters picked without replacement from bnnpmlp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -148659*r**3 - r**2 + 53*r - 946 wrt r.\nAnswer: -891954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*x - 4*x + 13230 = -551*x for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -17*m**2 + 5 + 4*m**2 - 1 + 7*m**2. Let b(x) = 2*x**2 - 1. Give -7*b(k) - 2*w(k).\nAnswer: -2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 + 33.8. Let i = 56 - y. Let l = -20 + i. What is the nearest to 3 in l, 0, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(2*sqrt(3)) - (-1*sqrt(384) + sqrt(24) - sqrt(24)))\/((sqrt(420)\/(sqrt(7) + sqrt(7)*2))\/sqrt(5)).\nAnswer: 27*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 4*p. Let m be u(3). Suppose 4*n = m*c + 25, 4*c = 3*n - c - 27. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**8\/1120 + i**6\/80 + i**5\/40 + i**3\/3 + 10. Let r(s) be the third derivative of w(s). Solve r(t) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - -620?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/56)\/((-10)\/(-7)). Let m be (-32)\/36*(9 - (-1209)\/(-130)). Find h, given that d*h**2 - 2\/15*h**4 + 0 + 0*h - m*h**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.174 + 0.0161913?\nAnswer: 0.1901913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 119\/173 less than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 9*i**2 - i - 12. What is t(-6)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 42. Let j be ((-42)\/20)\/(18\/(-1)). Let v = -2\/15 - j. Which is the biggest value? (a) -4 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1015189.979 to the nearest 1000.\nAnswer: -1015000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9108615 divided by 5.\nAnswer: -1821723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2\/173, 0.2, -0.03, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n - 220 = 0. Let k be (-78)\/(-1) - (-4 - -3). Suppose 34 = -3*f + k. What is the remainder when n is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 329\/2 + -164. Which is the nearest to -14? (a) -5 (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - -1. Suppose -y = -2*y + l. What is the lowest common multiple of y and ((-5)\/(-20)*-6)\/((-9)\/6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 51485?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -0 - 16. What is the remainder when 15 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -4)*15\/5. Suppose 5*z + 103 = -3*o, -3*o - i*z - 142 = -49. Let s = -24 - o. Solve -9 = -s*m - m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05246 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 11:32 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-four fifths of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2150, -2140, -2130?\nAnswer: -2120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -33*a - 2. Let c(v) = -2870*v - 175. Let r(q) = 2*c(q) - 175*p(q). Let z(u) = -u**2. What is z(r(o))?\nAnswer: -1225*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((450\/22)\/(-25))\/3?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -537535, -1075153, -1612769, -2150383, -2687995?\n\"Answer: u**2 - 537621*u + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 171.1 - 171. Let o(z) = -z**3 - 3*z**2 + z - 3. Let t be o(-4). Which is the smallest value? (a) i (b) 0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r**5\/5 - 121911*r**4\/5 - 2998747*r**3\/5 + 39415731*r**2\/5 + 27258676*r\/5 + 919428 = 0. Calculate r.\nAnswer: -13521, -34, -1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmm when three letters picked without replacement from abaxmmm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/5 and -83\/358?\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 459*z**4 + 33*z**2 - 1 - 15*z**2 - 468*z**4 in the form a*z**3 + r + p*z**2 + q*z**4 + v*z and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6048 and 25488?\nAnswer: 356832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*a - 11*a + 2*a**2 + a)*(-4*a**2 - 3*a**2 + 5*a**2) to g*a**2 + o + r*a**3 + d*a**4 + q*a and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4.629*1786\nAnswer: 8267.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2. Let p(t) be the second derivative of -t**4\/4 - 6*t. Calculate p(h(k)).\nAnswer: -27*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 3*v**2 - 260 + 122 - 6*v - v**2 + 138.\nAnswer: 2*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234 by 6.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-1 + sqrt(1008))*-6 - sqrt(1008)) + -5)**2*6.\nAnswer: -4032*sqrt(7) + 296448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -220 - -45. Let z = -174.8 - d. What is the fourth smallest value in 4, z, 2\/13, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2\/z)\/(z*z**(-2\/15))*((z\/(z*z*z*z**(-3)*z))\/z)**(-1\/16))**(2\/19) assuming z is positive.\nAnswer: z**(47\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97053.\nAnswer: 3, 11, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -63. Calculate the remainder when 110 is divided by j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -356 >= -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 18. Do v and 2\/35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**7\/840 + 11*c**6\/160 - 4*c**5\/5 + 65*c**4\/24 - 853*c**2. Find y, given that p(y) = 0.\nAnswer: 0, 2, 5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417577.\nAnswer: 417577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = i - 35, 25 = 3*i + o - 30. Suppose -5*m - 34 = 5*x - 139, -5*m + i = 0. Solve -5*q = -3*f - x, 3*f + 2*q = -q + 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6728*h = 5389*h - 1526742 for h.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 11.9416687?\nAnswer: 11.9416687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6063.\nAnswer: 3, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30\/(5\/20 - (-2)\/4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/2 and 101\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5 - 15. Let m be 1 - (-5 - (l - 3)). Let c = -4 + m. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, 1, 1\/2, -4.4 in ascending order.\nAnswer: -5, -4.4, 1\/2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8*1.0063\nAnswer: 8.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*h - 4 - 5*h + 12*h wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1147*f**3 - 2271*f**3 + 1128*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -175*t + 175*t - t**4 + (2*t**3 - 2*t**3 + 2*t**3)*(5*t - 2*t - 2*t).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/(-132))\/((-2)\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**4\/12 - b**3\/6 - 11*b**2 - 30*b - 2. List the prime factors of p(-7).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 39*a. Let z(i) = -6*i. Calculate z(w(n)).\nAnswer: -234*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-90)*320\/256\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.3 + 12. Put -0.4, 1\/3, g in descending order.\nAnswer: 1\/3, g, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**4\/6 - o**3\/2 - 2*o**2. Let d be f(-5). Let r = d + -12. What is the biggest value in -2\/11, -0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 11*s = -36 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.4 - -4.21. Let p = 0.087 + z. What is p rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -339 (base 13) to base 9\nAnswer: -676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -122*j - 99. Let t be u(-4). What is t rounded to the nearest ten?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d + 3*d + 13*d + 6*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*f**2 - 19713*f + 9090 = 0.\nAnswer: 6\/13, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(-4 + sqrt(80)*3 + (3 + sqrt(80)*-2 + sqrt(80) - sqrt(80))) + -5)**2.\nAnswer: 32*sqrt(5) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 5*n + 6 - 3, -11 = 4*t + 3*n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 49 = 7. Suppose 130 = 2*d + j. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*(1\/5)\/(84\/42)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 12:04 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 6*d**2 - 13*d - 14. Let p be b(8). Suppose 11*y - p*y = 204. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 83*w**2 + 4314*w - 74. Calculate y(-52).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -19*c + 691. What is the remainder when w(27) is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 39*o**2 - 388*o + 37. What is the tens digit of h(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.29 - 23. What is g rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = 42*p + 10*p - 252 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - -2)*-3)\/(17\/(-51))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-161)\/((-5923512)\/(-432)))\/((-6)\/(-28))*1\/(-2)?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Let w = h - 3.2. Suppose 0 = 3*l + n - 7, 4*n + 44 - 8 = 4*l. Which is the smallest value? (a) l (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - g + 11 = 0, -4*g + 4*g + 4 = -g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -32*f + 79. Let k(i) = 93*i**2 - 95*i**2 + 19*i - 19*i. Give k(d(l)).\nAnswer: -2048*l**2 + 10112*l - 12482","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -9\/7*g - 25\/21*g**3 + 6 + 15\/7*g**2. Factor x(u).\nAnswer: -(5*u - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u + 46592 = 64*u. Is u a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6188)\/(-8) + 1\/2. Suppose -3*r + 2*q - 1544 = -3*q, 0 = -r + 5*q - 498. Let d = r + z. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11048.6962 to the nearest 10.\nAnswer: -11050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4cd4c + ac?\nAnswer: -4cc90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13458865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 - -107. Let h(z) be the third derivative of 0*z**3 + 0 + 0*z**4 - 1\/60*z**6 + 0*z**5 + 1\/105*z**7 - z**a + 0*z. Factor h(y).\nAnswer: 2*y**3*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 82 - 210 + 351.\nAnswer: 3*b + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*u + 10, -4*j + 0*j - u = -12. Solve -j*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 0 + (15 - -6) - (0 - 6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*c + 40*c + 3*f - 1588 = 0, 0 = -3*c - 5*f - 4708. Which is smaller: -1578 or c?\nAnswer: -1578","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7290 = -10*x - 8*x. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10277764 to the power of 1\/2, to the nearest integer?\nAnswer: 3206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(891) - sqrt(891)).\nAnswer: -54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17760\/18 + 21*(-1)\/(-9)?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 times -0.3?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20960 and 29344?\nAnswer: 146720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1547 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 22 = -4*z, -3*p = -4*z - z + 19. Suppose 4*b = 4*k - 5*k + 1521, p*b + 2*k = 756. Suppose 0 = -2*h - h + b. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 26 = 2*n, -n - 4 + 5 = -3*x. Let l be 6\/(-15) + 6\/n. Suppose -3 = -4*i + 1. What is the closest to i in l, -4, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0036202 to five decimal places.\nAnswer: -0.00362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 2. Let f(j) = -52 + 101 - 50. Calculate -6*f(q) - 3*v(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 20162812\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -603, -4, 5, 0.5?\nAnswer: -603","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 209 = -524. Suppose 6*w - v = w. Let k = 29 - w. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 5*y**2 - 7*y + 14. Calculate the remainder when 2 is divided by b(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1691 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3))\/((-4)\/(1 + 23)). Solve 0 + 1\/5*o + 4\/5*o**h + 3\/5*o**3 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247945772.\nAnswer: 2, 61986443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1430*k - 15 = -1432*k - 3*c, 30*c = -3*k + 32*c + 42 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 - 3*s - 3. Let y be k(-4). Is (y\/3)\/(1 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 34 = 5*c, 14*c = -2*n + 15*c + 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59897.26 rounded to the nearest 1000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 245054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43672 - -35151?\nAnswer: 101043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*r - r**3 + r**2 - 5*r**4 - 1 - 139*r to the form v*r**2 + y + f*r**3 + s*r**4 + p*r and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.2. Suppose 10*l - 14*l + 128 = 0. Let z = l - 290\/9. Which is the closest to o? (a) z (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 2152 = 252*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105557, 194419, 283279, 372137, 460993, 549847?\nAnswer: 638699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktktkktktt. Give prob of picking 4 t.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -695 = -5*y + 2145. Suppose 0 = 4*x + l + 4*l - 77, 0 = -2*x - 3*l + 41. Suppose -17*o + x*o = -y. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961706863.\nAnswer: 13, 73977451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26*4\/(-12) + 8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/10164 and -163\/30492.\nAnswer: 30492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13\/184 (b) -2\/3 (c) 11.679\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 117062 = -3*f, -1142*i = f - 1143*i - 39020. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566144.\nAnswer: 2, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000036930578 rounded to seven dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19224 and 432?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5226\/335 + (-1 - (-14)\/10). Let y be 1 + -3 + 2 + 2. Solve -18*q = -h*q + y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2457*r + 9951*r + 3530*r as i + h*r and give h.\nAnswer: 11024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -605 + 636. Calculate the remainder when t is divided by 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 18*i - 111. Is y(-34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-4)*(-5)\/((-5)\/518). Are c and -1295 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**4 + 12*n**3 - 14*n**2 + 12*n - 7. Let s(d) = -15*d**4 + 24*d**3 - 27*d**2 + 24*d - 15. Let f(u) = -9*j(u) + 4*s(u). Factor f(h).\nAnswer: 3*(h - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-306)\/(-357)*5\/(30\/28).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2856.487 kilometers to millimeters.\nAnswer: 2856487000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 + -0.07345.\nAnswer: -0.97345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 2*n**3 + 5*n**2\/2 + n. Suppose 14*o + 3 + 25 = 0. What is the common denominator of -13\/11 and p(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 44*p**7\/21 + 2*p**6\/5 - 949*p**4\/6 + 6*p - 25. What is the third derivative of r(g) wrt g?\nAnswer: 5280*g**2 + 288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, e: 2, f: 1, p: 3, d: 1}. Give prob of sequence ef.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-3)\/(-405))\/((-2)\/(-12))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -666108 = -19*b + 275418. List the prime factors of b.\nAnswer: 2, 3, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36\/5 in 0.3, -0.13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(2299) + -1)**2 + sqrt(19) + ((sqrt(19) - sqrt(19)*-2)**2 + sqrt(19))*-1)*2*-3.\nAnswer: -12774 + 126*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1078 - 912 = -5*p, -2*p = -6*h - 788. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 3356 = -108*p + 938 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 6:51 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302414 is divided by 22726.\nAnswer: 6976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 5*w + 12. Let m be y(5). Put m, -5, 5, -3 in increasing order.\nAnswer: -5, -3, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 1 - 5*h**3 - 3)*(4*h - 4*h - 3*h).\nAnswer: 15*h**4 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127245 or 127244?\nAnswer: 127244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*k + 5 = 58, -3*c + 2*k + 61 = 0. Suppose 5*i - c = -a, 0*a - 4*i = 5*a - 95. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1363117, 2726204, 4089291, 5452378, 6815465, 8178552?\n\"Answer: 1363087*g + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -240780 and -10?\nAnswer: 2407800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-4 + -2 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190 (base 12) to base 6.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - (1 - (632481 - 14)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 164.5622 decades?\nAnswer: 16.45622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -68, 1627301, 4?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14818 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: Let c = 780 + -176. Suppose 0 = -f - q + 66 + c, -5*q = f - 658. Suppose 92*h + f = 93*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/3*(-21)\/2. Let j be (5\/(-2))\/(7\/c). What is u in 0*u**j + 3*u + u**5 - 6*u**3 - 2*u**5 + 4*u**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 + 6 + -2 - -11. Suppose 4*x + 0*x = 24. Let y be 12\/(-7)*(-21)\/x. Which is bigger: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -946*o + 1541 - 1541 + 1889*o - 942*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 16310000 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -2829?\nAnswer: -2828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 191 = 3*y + 919, 550 = q + y. List the prime factors of q.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380\/180 + (-16)\/6 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.68 + 0.38. What is the smallest value in 0, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*u - 154 = 6, -3*u + 160 = 5*w. Let z = -13 + w. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -194*i + 190*i - 4*p + 12, 5*i - 2*p - 15 = 0. Solve 8 = -3*k - 5*b, -18 + 10 = 5*k + i*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/4 - 3*o**2 - 21*o\/4 + 15\/2.\nAnswer: 3*(o - 5)*(o - 1)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57563884 to the power of 1\/2, to the nearest integer?\nAnswer: 7587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a - 667. Give z(55).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 + -341403141?\nAnswer: -341403242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-44)\/66)\/(4\/(-31752))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 + 75 = 47*h. Let n(o) = -16*o - 2. Let g(w) = 16*w + 2. Give h*n(y) - 5*g(y).\nAnswer: 16*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-5))\/(95\/380*60).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 32 = 2*n. Let b = -6 - n. Let s(u) = -u**2 + 14*u - 1. Is s(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 292 or 7276\/25?\nAnswer: 7276\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35555 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3 + 5 = 0. Suppose 12 = -i*w - 72. Let a = w - -45. Calculate the lowest common multiple of a and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 611, -4\/3, -6\/31?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2221 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 132832903 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -42 + -77 - (1 - 9)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 11 + 31. Let t be (14 - 4)*2\/y. Suppose -3*f + 4*a - 8 = 0, 4 + 2 = -t*f + 3*a. Is 1\/12 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560 by -112.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 3*n**5\/40 + 3*n**4\/8 - 3*n**2 + 44*n + 2. Solve p(f) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w**2 - 13*w. Let u = -16 + 22. Let g(c) = -6*c**2 + 12*c. Let s(j) = u*g(j) + 5*x(j). What is the units digit of s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 46*f - 276 - 32. Solve 0 = -f*t - 0*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*y = -3*u + 28, 61 = 4*u - y. Let v be 15*(-7)\/21*-3. Let n = u - v. What is the smallest value in 0.5, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 18 = 15*p - 18*p, 0 = 2*p - 2*q - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*z + 61, -1420 = -2*v + z - 1318 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74611 is divided by 429.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - 3*(sqrt(117)*2 + sqrt(117)))*5 + 2*sqrt(117)*3 + 1*(sqrt(117) - (sqrt(117) + 1)))**2.\nAnswer: 204*sqrt(13) + 135253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*y + 1251, 0 = 3*v - y - 249 - 503. What is the remainder when v is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 11:09 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express b + 2*b**2 - b + (-4*b + 3*b + 2*b)*(-6*b - b + 10*b) in the form t*b**2 + p*b + x and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*t**2 - 41482*t - 161304.\nAnswer: (t - 2444)*(17*t + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/9)\/(2\/(-3)). Suppose 5*c - 3*i = 15, l*i + 0 = -2*c - 25. Let j(w) = -w**3 - w + 5. Let n be j(c). Solve 0 = 3*h - n*h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127005656?\nAnswer: 2, 47, 337781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Solve 0 = 31*o - 32*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13944 or -320710\/23?\nAnswer: -13944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.73 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 471417740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -34615741753 and -391.\nAnswer: -34615742144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 13*r - 22. Let p be w(11). Suppose -4*j + j + 36 = p. Suppose 0*b + 4*b = j. Solve 0*i - 5*q + 7 = b*i, -3*i - 2*q + 10 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 5:34 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.179, -0.2, 1\/2, 0.09, -89, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6609 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z. Let u be k(1). Suppose u*a - 6449193 = -217343. Let n = -196370 + a. Round n to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/96171015 and 76\/332115.\nAnswer: 673197105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r + 12. Suppose 3*c = 5*x + 21, 21*c - 20*c = x + 5. Put r, 3, 4, x in increasing order.\nAnswer: r, x, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqdqqqqddq. What is prob of sequence dq?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 584.6540568 to 2 dps.\nAnswer: 584.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 52, 3, 59 in descending order.\nAnswer: 59, 52, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 29. Let b(h) = -h**3 + 6*h**2 - 4*h - 1. Determine b(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.2 (b) 1\/196 (c) 1 (d) -2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 8:04 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 0\/3 - 0. Suppose 2*h = -h + p. Let d = 9 - 6. Solve -d = s - h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62532075.\nAnswer: 3, 5, 349, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037183 to 3 decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/8 + -1)*0. Sort -5, r, 6.\nAnswer: -5, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = z - 8, 163*z = -3*u + 167*z + 24 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2031 or -10148\/5?\nAnswer: -2031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 397 divide 1538772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*f - 3*p, 5*p = -4*f + 10 + 29. Let u = 8 - f. Suppose 2*k + 3*y = 6*y + 11, -u*y + 2 = 0. Calculate the smallest common multiple of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -33, -2\/9, -1\/7, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2639387*l**3 - 4*l - 2*l - 2638534*l**3 + (-5 + 3 + 1)*(-4*l**3 + 3*l**3 - l**3).\nAnswer: 855*l**3 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98452 by 424.\nAnswer: 24613\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-3)*(-6)\/(-4). Find the second derivative of 5*w**3 - 2*w**d + 3*w + 3*w**4 - 5*w**3 wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181868 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: Let i = -534 + 14953\/28. Put -2\/5, i, -1\/7 in ascending order.\nAnswer: -2\/5, -1\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n - 4*n - 6 - 7 + 9. Let b(u) = -4*u - 11. Determine -4*b(a) + 11*i(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/6 and 4 + 3\/(-7) + (-43176)\/12789?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 10:46 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 3:26 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -3. Let o = 2 + -6. Is o greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 3. Let v = -4.1 - 0.8. Let j = 0.1 - v. Sort d, j, 0.3.\nAnswer: d, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110886*s**3 + 14*s + 4540 wrt s.\nAnswer: 665316*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 19*f**3 - 3*f**2 - f + 1. What is u(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 10*r + 6. Let i be h(3). Let y(u) = u + 22. Let z be y(i). Suppose 1301 = z*k + 244. What is k rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/2 - 60729191*x**2\/2 + 922008568784827*x\/2 + 2766026252917227\/2 = 0.\nAnswer: -3, 30364597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 2*i + i**4 + (-i**3 - 4*i**3 + 4*i**3)*(-19 + 19 - i).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let r be ((-17)\/(-2))\/(6\/12). Suppose r = l - n, -4*l + 2*n - 26 = -6*l. Let y(v) = 4 - 4 + l*v**2 - 10*v**2. Give y(o(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-468720)\/(-40320))\/((-3)\/8).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*a = -32, 4*a - a = -d + 6. Let c be 3\/d + 92\/8. Find the second derivative of 5*k**3 + 11*k**3 - c*k**5 - 16*k**3 + 12*k wrt k.\nAnswer: -220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 13 = 4*y - 160, 267 = -5*u - 4*y. Let q = -56 - u. Is q at least as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((2\/(-4))\/((-2)\/4)). Put 2, -1, -5, g in increasing order.\nAnswer: -5, -1, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -399*l + 21. Let q(p) = -114*p + 6. Let x(y) = -18*q(y) + 5*w(y). Let m be x(2). Let u = -55 + m. What is the remainder when u is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f = 4*i + 28*f + 36, 5*i + 9 = 4*f. Is i <= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -79\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 872*k**2 + 640*k**2 - 3*k**3 - 1205*k**2 - 6325*k**2 = 0.\nAnswer: -2006, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2812 = 4*g, 3*r + 683 = 70*g - 69*g. What is the lowest common multiple of g and 4?\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 969 divided by -51.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + c + c)*(0 + 0 - 1) - 1 + 1 - c + 0 + 0 + c - 3*c - 1 + 1 + (-2 + 3 - 2)*(4 - c - 4) + 4*c + 0*c + 0*c as s*c + g and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**6\/360 + 7*l**5\/120 + l**4\/2 + 34*l**3\/3 - 14*l**2 + 1. Let y(m) be the first derivative of b(m). Give y(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c264 (base 13) to base 4\nAnswer: 110133002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -253645*z - 306847 wrt z?\nAnswer: -253645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15*(-6)\/(-81)*(-21 - -12). Let r = -4 + 7. Suppose -p*y + 52 = r*y. Solve y*z = 2 + 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 - 2 = u, -5*z + 3*u + 26 = 0. Let j(w) = 2*w**2 - 3. Let q be j(3). Suppose -z*s - 3 + q = 0. Solve 3*m - s = 4*m, 5*m = 4*l - 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.694461 millennia?\nAnswer: 869.4461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*f + 37. Suppose -68 = -3*c - 5*g, -5*c + f = -2*g - 35. Suppose 3*d - d = c. What is the lowest common multiple of d and 110?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.2, 3, -2\/165 in descending order.\nAnswer: 3, -2\/165, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1041488*j**5 - 2970008*j**2.\nAnswer: 62489280*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -999861*x - 488590 with respect to x.\nAnswer: -999861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01471 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001110 + 11001001111?\nAnswer: 10011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -14*y**2 - 3*y + 24. Let b be t(8). Let i = 576 - b. Suppose -1150 = -6*d + i. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - k**2 - k + 4. Let y be s(-3). Let w = -21 + y. Factor i**w - 2*i**4 + 4*i**4 + 1 - 2*i**2 - 2*i**4.\nAnswer: (i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-239)\/2)\/((-62)\/620)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -157*b + 160*b - 16, -2*b = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((102460\/141)\/218)\/((-4)\/(-114))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -12 + 2\/3*p**3 + 4*p**2 + 6*p. Factor k(n).\nAnswer: 2*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44)\/(-5) + (-624)\/(-520). Solve 0 = 32*x - 27*x - t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28504, 57119, 85888, 114811, 143888, 173119, 202504?\n\"Answer: 77*z**2 + 28384*z + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4 + 16. Let h(w) = l*w**2 - 3*w**3 - w + 5*w - w**2 + 5*w**3. Let i be h(-4). Round i to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j - 13 - 14 - 4*j + 11. Let b(h) = 2*h**2 + 4*h + 4. Let a be b(-3). Determine m(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 1720*p - 40260.\nAnswer: 5*(p - 366)*(p + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 744631.4 years?\nAnswer: 74463.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a hour in minutes?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus 1.27?\nAnswer: 5.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(11550\/99)\/25*12\/(-160)?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*x**2)*(x + 0*x - 2*x) + 0*x**3 + 2*x**3 - 3*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:05 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-268)\/(-40) + 1309\/(-238))\/(7\/5)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*q = -20, -3*i - q - q = -10. Suppose -5*s = -15, i*y = 4*y - s - 25. Let k = 995 + -907. Calculate the remainder when k is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**5\/20 + b. Let t = -13300 + 13299. Let u(k) = 6*k**3 + 1. Calculate t*u(s) + 4*g(s).\nAnswer: -2*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, 8, 0.1, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-16)*d*d*d*d**0*d assuming d is positive.\nAnswer: d**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 6*b + 4. Let g be i(6). What is the third derivative of 3*m**2 - m**3 + m**3 - g*m**2 - 3*m**6 wrt m?\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 3*v**2 - 2*v + 3. Let f(m) = -5 + 1 - 4*m + m**3 + 4*m**2 + 0*m**2. Let g be f(-3). Suppose -p = -2*h + 8, 3*p + 3*h = 2*p + g. Give c(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1363 = -78*l + 290 + 141 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 5:24 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -c + 165. Find the second derivative of -293 + x + x + c*x**5 + 231 wrt x.\nAnswer: 1500*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1 (b) -3\/5 (c) 0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092255104 to the power of 1\/2, to the nearest integer?\nAnswer: 33049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.79 - -0.21. What is the closest to 2 in 1\/5, r, -6\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 72. Let l(v) = -v + 48. Let f(x) = -8*l(x) + 5*m(x). Calculate the lowest common multiple of 18 and f(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173.561 - 0.0169.\nAnswer: -173.5779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 11*x + 3. Let y be a(11). Solve -3*t - 8 = 5*b, -5*b + t - 1 = y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/3 - -5) + 3. Suppose h*m - 12 = 13. Suppose 3*j - u = 6, 0 = 4*u - 0*u. Solve 3*i + a - 6*a = -15, 0 = -j*i - m*a - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87566808*q**3 - 81621084*q?\nAnswer: -525400848*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 297021606 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/285326 and -123\/2853260.\nAnswer: 2853260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5 - 320*w**4 - 324*w**3 + 958*w**2 + 1603*w + 642 = 0. What is w?\nAnswer: -1, 2, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*w - 35613 - 14397 = 0, 2*l - 4*w - 19990 = 0. Suppose -2171 - l = -16*a. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.703754kg to grams.\nAnswer: 703.754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3527352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + -43 - -1*2. Let p be -2*(h\/(-4) - 4). Let g(o) = o**2 + 13*o - 19. Does 3 divide g(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r + 1. Let h be g(-3). Let l(b) = -b**2 - 2*b - 15. Let k be l(-4). Let v = k - h. Solve -3 = w - v*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/550782 and -97\/10656.\nAnswer: 8812512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 398537673 to the nearest 1000000.\nAnswer: 399000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 - 3*p**4 + p**4)*(34 - 34 + 3*p)*(-3 + 2 + 0).\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1262064709 + -1262051054.955845. Let p = k - 13654. Let t = p + -0.044. Round t to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-2*g - 13*g - 5*g) + 3 - 3 + 11*g + (1 - 1 - 2*g)*(-1 - 3 + 3) - g + 2 - 2.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16421262 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.61 - 0.61. Let t = -0.051 + 0.078. Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 20791.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 64 = -3*y + 21, 0 = 5*l - 3*y - 223. Suppose 3*o = -l - 1. Let b = o - -29. Calculate the highest common factor of 21 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - sqrt(117)*2*-5)\/((sqrt(99) + (sqrt(99) - (sqrt(99) + 2*sqrt(99)) - sqrt(99)) + sqrt(99) + sqrt(99) - sqrt(99))\/sqrt(11)) + 3)**2.\nAnswer: -66*sqrt(13) + 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - 5*-2*sqrt(15))\/(sqrt(60)\/(sqrt(36)\/sqrt(3))).\nAnswer: 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -22, -36, 47 in increasing order.\nAnswer: -36, -22, -1, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-8624)\/70)\/(-11))\/(-5*10\/(-125))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 49*j - 70. Let l = -447 + 453. Let g be u(l). Is g < 225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2 + -4 + 3 + sqrt(2299) + 1 + 2 + sqrt(2299) + sqrt(2299) + -1)*-2)**2.\nAnswer: -331072 + 1056*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - t. Let k(j) = -11*j**2 - 8 + 48*j**2 - 5 - 19*j**2 - 3*j. Let y(l) = -k(l) + 3*x(l). What is the derivative of y(o) wrt o?\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3988 divided by -14?\nAnswer: 1994\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**7\/105 - f**5\/20 + f**2 - 4. Let j(n) be the second derivative of q(n). What is the third derivative of j(c) wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 24*l + 4 = 0. Which is the third smallest value? (a) l (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110110100011 - 100?\nAnswer: -10110110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 163 = -77. Suppose 12*v - j = 18*v. Let r(t) = t**3 + 3*t**2 - 5*t + 3. Determine r(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1099219?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -684 + -3?\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -121 and -11.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18921 to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 609, 59, -3\/4 in descending order.\nAnswer: 609, 59, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 7:03 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22496 and 439508?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*l + 131*l + 4*p = 20, -p = l + 3. What is the nearest to l in -0.5, 5, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 20*r**2 - 30*r**3 + 35*r**3 - 95*r**2 = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fknl when four letters picked without replacement from xlfklflflnfkllfl.\nAnswer: 1\/624","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 18*k + 11 + 140*k**2 - 54 - 141*k**2 - 23. Give f(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 1. Let f be k(-1). Suppose -3000006 = q + 2*o, -3*q + 5*o - 2999985 = -f*q. What is q rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.40801km to millimeters.\nAnswer: 65408010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -9, 3, -5 in ascending order.\nAnswer: -10, -9, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/88*20\/6.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3517136 is divided by 51?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 3*i**2 + i**2)*(0 + 0 + 2)*(-2*i**3 + 5*i**3 + 0*i**3) - 6*i**5 + 4*i**5 + i**5.\nAnswer: 11*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4306?\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8820 + 8821. What is the second biggest value in 0, -150, -3, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 6*u - 91. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*u + 12 = -36*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*8\/476 + 604\/68?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by (48\/(-32))\/(3\/(-34))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -511115 (base 6) in base 13?\nAnswer: -15539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 22294*r - 468166. Determine w(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 138539770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23119498 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*y + 4*a, 0*y - a = -3*y - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 74 - (13098 - 12951).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 154, 156, 158, 160, 162, 164?\n\"Answer: 2*m + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00854295 to four dps.\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 20, b = 2*f - 0*b - 57. Let l be (-4)\/f + 178*(-8)\/(-1144). Solve 8\/11*x**2 - 2\/11*x**5 - 2\/11*x + 0 + 8\/11*x**4 - l*x**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/3)*p\/p**(-8) assuming p is positive.\nAnswer: p**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.97877 months to decades.\nAnswer: 0.14148975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 3234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1550596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from mqqmoqmqomqmm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1584 + 9.1584. Which is the closest to -0.1? (a) q (b) -5 (c) 23 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 26682\/10 + 136\/170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1528 - 329. Let q = y + -641. Is q a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -106, -151, -178, -181?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3370378292 take away -0.5?\nAnswer: -5.8370378292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/2 (b) 2 (c) -0.037199 (d) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 246290683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 133*-3091\nAnswer: -411103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -67 in decreasing order.\nAnswer: -1, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*m - 15, -m + 5*m = -3*v + 23. Suppose 5*w = 6*w - 4. Which is bigger: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + x - 72 = 0, -6*k = -k - 3*x + 116. Let l = 223\/9 + k. Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-28)\/(-6)*90\/6 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11000 and 1890000?\nAnswer: 20790000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6114 (b) -154 (c) 2 (d) -0.3 (e) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from uutuunnqnsru.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38670 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: What is the millions digit of 66767773?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m + 5. Suppose 4*k + 105 - 249 = 0. Let o = -22 + k. Calculate the remainder when n(7) is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r = 30*r - 5*y + 7, 5*r = 3*y + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1319 and -0.6.\nAnswer: 791.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198019797, -396039600, -594059403?\nAnswer: -792079206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 2. Let c(m) = -3*m - 10. Let j(h) = c(h) - 2*k(h). Calculate j(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - -10*(-8)\/26 - -1. Let k = h - 184\/143. Let i = -4 - -2. Which is the biggest value? (a) k (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/16*4\/3. Let n be (108 - -3) + 3\/(-1 + c). Calculate the greatest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8*m = -35. Suppose -3*h = -4*h + r + m, -5*h + 29 = -3*r. Solve -h*w = -2*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5404806 and 6912.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -185*k + 1080. List the prime factors of n(-34).\nAnswer: 2, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*o = -40*o + 26578. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 351 divided by 351\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/16 + 0)*(-1 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76 - (-83 + -40 + 64)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o**4 + 3406*o**3 - 8*o**2 - 5317*o - 31 wrt o.\nAnswer: 48*o**2 + 20436*o - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 732554821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (410\/(-50))\/((-5)\/275)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + -6. Let a = d + 201. Suppose 4*n - 5*h + 70 = a, -20 = 5*h. Solve -2*u + 4*u = -3*x + n, -30 = -4*u - 2*x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 371916451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.672 - 0.872. Which is the closest to 2\/7? (a) d (b) -1 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((1\/2)\/(46\/(-80178)))\/(9\/(-12)). Calculate the greatest common divisor of 166 and a.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3583, 202, -1.\nAnswer: -1, 202, 3583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 10:13 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2739 - -2747. Calculate the least common multiple of c and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.69431 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 14*f - 23. Let z(w) = -w. Let k(g) = m(g) + 2*z(g). Let t be k(-11). Which is smaller: t or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/70*(-1)\/(-3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 323 (base 4) to base 7\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -311 (base 4) to base 16\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 2*t**2 + 27*t - 26. Let u be q(1). Let a(r) = 3*r**3 + 2. Determine a(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 8:53 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 313 + -405 - (20 - 163)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, 220, 751, 1610, 2863?\nAnswer: 4576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4361624446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1768 + -142. Calculate the remainder when f is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 308*t + 3. What is the units digit of r(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y - 40 = -23*y. Suppose -2 = -2*q + 6. Suppose 5*i - 1 = -q*n + 34, -y*i = -4*n - 75. Calculate the lowest common multiple of 9 and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.4 times 13.3\nAnswer: -45.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 11:31 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6678.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 709*h**4\/12 + 518*h**3 + 1348*h**2. Differentiate y(r) wrt r.\nAnswer: 1418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 192, 182, 168, 150?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205821005.\nAnswer: 3, 5, 8933, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-1))\/(2*(-1)\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from {m: 1, r: 1, p: 1, s: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 1.1. Let n = -2\/479 - -972\/3353. Suppose 4 = -2*h + 4*h. What is the biggest value in n, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2141 - 2755*w + 4272 - 2131 to z + y*w and give y.\nAnswer: -2755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*r**5 + r**2 + 0 - 1\/2*r + 0*r**3 - r**4.\nAnswer: r*(r - 1)**3*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 11981, 31816, 59571, 95240, 138817, 190296?\nAnswer: 249671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47998*w**4 - 77498*w wrt w?\nAnswer: 575976*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3110?\nAnswer: -3110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l - 3. Let u(z) = 1. Let t(m) = -6*u(m) - x(m). Let j(g) = 4 + 2*g - 2 + 0. Determine 5*j(v) + 3*t(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 2*v - 3. Let l = 2 + -2. Suppose 5*m = 6*i - 3*i - 24, l = -m + 3*i - 12. What is y(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38776, 310171, 1046816, 2481337, 4846360, 8374511?\n\"Answer: 38771*f**3 - f**2 + f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -897 + -16?\nAnswer: -913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.131427537 rounded to 4 decimal places?\nAnswer: 0.1314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-2) + 1\/(-2). Let r be (9\/u)\/((-1 - -5) + -7). What is the closest to 2\/3 in 2, r, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 g when four letters picked without replacement from gghgggh.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 18 = -h. Suppose h = -3*z - 183. Let f = 146 + z. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -77, -418, -747, -1064, -1369?\n\"Answer: 6*k**2 - 359*k + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -0*i + 5*i - 2*q - 2443 + 2438, 5*i - 5 = 5*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.02273609*-0.05\nAnswer: 0.0011368045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6048)*-2 - sqrt(42)) + sqrt(168)\/sqrt(64) + sqrt(42))\/(-4*(sqrt(6) + sqrt(54)\/(sqrt(9)*4 - sqrt(9)))))**2.\nAnswer: 568575\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*r - 144 = 472*r. Put -36, r, 0, -3, 1 in descending order.\nAnswer: 1, 0, -3, r, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -536, -4, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 10:21 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-89 + 10*s**2 + 89)*(4 - 2 - 1) + (0*s + 0*s - s**2)*(3 - 2 - 2) in the form l*s**2 + r + z*s and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q. Let c(x) = x + 2. Let y(u) = 5*u + 11. Let h(n) = 33*c(n) - 6*y(n). Calculate v(h(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1028.2 + -1025.2. Let x = 0 - -2. Let r be (-1)\/x*(3 + -15). Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 1:18 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*l + 19*l - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1777 - -5450\/3. What is the second smallest value in u, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + 2*r**2 + 0*r - 4*r**2 + (3 - 2 + 1)*(-2*r + 2*r + 2*r**2))*(168*r - 2*r - 381677 + 381662) to the form y*r**3 + t*r + n*r**2 + a and give n.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 + 77.938. Let b = -3.8 - -3.938. Let f = k - b. What is the nearest to f in 2, 13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -15*k + 96. Solve -20 = -k*y, r = 5*r + y + 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (5*(-2*sqrt(468) + sqrt(468)) - (sqrt(468) + 2*sqrt(468))*-3)*1)*1.\nAnswer: -144*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -868*w + 1078*w + 644*w + 2 in the form d*w + j and give d.\nAnswer: 854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s + 139*s - 17*s = 3520 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676 = 59100*k - 59269*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 537647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 8*r**4 + 409124*r**3 + 6952652*r**2 - 7361784*r = 0.\nAnswer: -102247\/2, -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 636256465?\nAnswer: 3817538790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*(-2344 + 13*z**2 + 2344) + 5 + 338*z + 7*z**2 - 338*z.\nAnswer: 33*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47.3 + -0.3. Let o = -46.916 + x. Let z = 0.0840086 - o. Round z to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 759800288?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/15 and -61\/2457.\nAnswer: 12285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 291360 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030324120 (base 5) in base 11?\nAnswer: 2386330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5615899573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71\/31 + -143\/62. Is z bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 78*(-3)\/(-57) + 2\/(-19). Solve -x = 2*t + 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 55 - -aa0?\nAnswer: b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185616838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v**(-2\/15)\/v))\/v)\/(v**10*v*v)*v**(-7)*v*v**11 assuming v is positive.\nAnswer: v**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -256, -610, -962, -1312?\n\"Answer: f**2 - 357*f + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 59293884 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*x + 512, g - 188 = -34*x + 29*x. Which is greater: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -55*m**4\/2 + 61*m**3\/3 + 201. What is the third derivative of d(x) wrt x?\nAnswer: -660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 487 + -314. Let n = 135 + f. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**2 - 2*x**2 - x**2 - 4*x**2 + 0*x**2 + 0*x**2 + (0 - 2 - 4)*(0*x**2 - 2*x**2 + x**2) to the form w*x**2 + a*x + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Factor -2*f**2 + 4*f + 5*f**m - 4*f**3 - 2*f**3 - 3*f**4 + 2*f**5.\nAnswer: 2*f*(f - 1)**2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -466, -465, -464, -463, -462?\n\"Answer: f - 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 8:20 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/2 (b) -31.04887 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 7*c**2 + 8*c - 9. Let o be q(6). Suppose -o*x = -4*x. What is the second derivative of 2*u**2 + x*u + 3*u**2 - 3*u - 2*u wrt u?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**3 + 1160*q**2 + 74012*q + 143416 = 0.\nAnswer: -197, -91, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.0393 times 0.51371\nAnswer: -0.020188803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52, 104, 156?\n\"Answer: 52*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {p: 1, f: 9, q: 3, l: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-4\/3))\/(f\/(f*f**(2\/11)*f)))\/(f**(-2\/11)\/((f*f\/(f*f**3*f))\/f*f)) assuming f is positive.\nAnswer: f**(-65\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7451.443 days to hours.\nAnswer: 178834.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**4 + 2*j**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1283 in -1, -1\/3, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*w - 3*v, 8 = -0*w - w + 4*v. Let t(i) be the second derivative of i**4\/12 - i**3 - 2*i**2 + i. Calculate t(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1095 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -32, -40, -48?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656820 is divided by 109253.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -238\/11 + 5972\/275. Let y be (-2 + 2 + 2)\/2. Which is smaller: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25918167 and 18.\nAnswer: 155509002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z)\/z)**22\/((z**5*z)\/z**6) assuming z is positive.\nAnswer: z**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s + 9. Let y(t) = -t. Let f(l) = -4*l - 1. Let h(c) = -f(c) + 3*y(c). Let o(j) = -18*h(j) + 2*p(j). Let n(r) = r. Give o(n(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*s**4 - 34\/5*s + 2*s**3 - 4 - 6\/5*s**2.\nAnswer: 2*(s - 2)*(s + 1)**2*(s + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11630*j - 9251*j - 264069 for j.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2272\/(-6) + -2 - 84\/(-126). Let o = i - -466. Let z be (-1 - -2)*(-2 - -45). Calculate the highest common factor of o and z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -141 - c?\nAnswer: -14d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*q + 5 = 0, -9*u + q + 40 = -18*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**9\/3024 + n**8\/280 - n**7\/168 + 2*n**3\/3 - n**2\/2 + 136. Let c(x) be the third derivative of z(x). Factor c(f).\nAnswer: -f**3*(f - 5)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*w + 13*w = 212. Let g(h) be the first derivative of 1\/3*h**3 + 0*h + 3\/2*h**w + 8. Determine v so that g(v) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(4*(-1*sqrt(325) + sqrt(325)) + sqrt(325) - 4*(-1 + sqrt(325))) + 1)*4 + 1)**2.\nAnswer: -6480*sqrt(13) + 187929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -9. Let y = -11 + d. Which is the third smallest value? (a) 4\/3 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s**2 - 8*s + 11815. Let x(n) = n**2 + 4. Give d(x(u)).\nAnswer: 9*u**4 + 64*u**2 + 11927","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (22 + 3)*(-4)\/(-20). Suppose 0 = -2*u + 2*i + 4, u - 2*i = -2 + 3. Find the third derivative of 11*y**5 - 3*y**t - 24*y**2 + u*y**5 wrt y.\nAnswer: 660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 7043*o + 3128*o + 198*o - 1411*o - 3.\nAnswer: 8958*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eabuceuuakuuuaa. Give prob of sequence akau.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 145584 and 20.3.\nAnswer: 145604.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 15, 23, 31, 39, 47?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 6*x**2 + x + 5. Let t be n(-6). Let c = 3044 - 2158. Let r = c + -889. Put 5, r, t, 3 in descending order.\nAnswer: 5, 3, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25832 and 32290.\nAnswer: 129160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 522 - -12*(-10)\/20. Let u = k + -4636\/9. Let -2\/9*f**2 - u + 8\/9*f = 0. What is f?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Let s = -5 + j. What is the third smallest value in 2\/7, s, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 1. Let q(s) = 7*s**2 + 3*s - 2. Calculate -4*n(w) - q(w).\nAnswer: -3*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 plus 0.15165006101?\nAnswer: 29.15165006101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Let n = s - 2.999996. What is n rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**7\/105 - x**6\/60 - 17*x**5\/20 + 3*x**2 - x. Find the third derivative of r(h) wrt h.\nAnswer: 48*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 + 58.43. Let y = l - -0.6. Let m = -0.0309 + y. What is m rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -672 + 675. What is the nearest to 1 in q, 1\/44, -4, 5?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**3 - 114*u**2 - 420*u - 408 = 0.\nAnswer: -34, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*u - 7, 0 = 3*u + 3*y + 17 - 5. Let k be (-3419)\/(-39)*(-24)\/u. Let l = -1323 + k. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1580 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 = 399. Suppose -8*g = -11*g + n. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -60*i + 1422. Calculate d(20).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + 2*j - 2. Suppose 5*l = -3*d + d - 8, -5 = -5*d. Let a be x(l). Let i be (-2 - 15\/a)*-2. Solve i = q - 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 5*u + 2 = 0. What is the second derivative of 18*t - 33*t**u - 115*t + 26*t - 32*t**2 wrt t?\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1873*w**3 - 7488*w**3 + 1877*w**3 + 1878*w**3 + 1857*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371435321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 1474907*v**2 - 543835452295*v + 1631519631075.\nAnswer: -(v - 3)*(v + 737455)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/1038270 and 1\/215490?\nAnswer: 11420970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550*u + 355*u - 15876 = 317*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -23*z**2 + 88*z - 207. Calculate k(7).\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 86 + 30 = -3*l, -l = -u + 30. Suppose 5 = -21*d + u. Let i = -2\/57 + 97\/57. Which is the closest to 0.06? (a) i (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from gjrrjgjgj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23976*a + 3*a**2 + 23976*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8121658 months to centuries.\nAnswer: 0.0023434715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -58909.3028 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484*n - 368*n + 251*n.\nAnswer: 367*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.2, 2, 0.0277?\nAnswer: 0.0277","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12653706563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 9. Let i be m(6). Suppose -2*w - 3 = q, -i*q + 2*q - 18 = 5*w. Let r = 87 - 84. Solve 0 = q*a - r*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234904 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -291*y + 1219. Determine v(7).\nAnswer: -818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**8\/36960 + a**7\/6930 + a**6\/1320 - 13*a**4\/12 - a**3\/6 + 44*a**2. Let l(w) be the second derivative of z(w). Factor l(o).\nAnswer: -2*o*(o - 3)*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2 - 24*l - 16. Let a be q(-7). Suppose -2*j + 40 = 2*w - 44, 5*j + 170 = a*w. Calculate the greatest common factor of w and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2545*s + 322*s - 383*s + (2 - 2 + 3*s)*(-2 + 1 - 2).\nAnswer: 2475*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/12*0)\/1. Let o be 19\/(-38)*(-12)\/(-47). Which is smaller: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*u - 59. List the prime factors of u.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (-1*(sqrt(75) + sqrt(75)*1)*-2)**2.\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-2134)\/142 - ((93 - 2) + -106))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**4\/18 - 11*s**3\/15 - 28*s**2\/15 - s + 21. Factor g(x).\nAnswer: -2*(x + 1)*(5*x + 28)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*((-1)\/(-3) + 1). Calculate the remainder when (36\/(-8))\/((-6)\/20) is divided by (-86)\/(-10) + w\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = g - 11 - 9, -a = -2*g + 12. Let u(q) = -5*q**3 + 6*q**2 + q. Let m(n) = -n**3 + n**2. Determine g*m(o) - u(o).\nAnswer: o**3 - 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1459232400 is divided by 6743?\nAnswer: 6742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**6\/30 + w**5\/5 + 4*w**2. Factor r(z).\nAnswer: 4*z**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.5, 0.4, 2\/9, 3419.\nAnswer: -0.5, 0.2, 2\/9, 0.4, 3419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 422849.887 rounded to the nearest one hundred?\nAnswer: 422800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 40. Calculate the remainder when 4 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 7*c = q + 25*c - 129, 1 = -3*q + 57*c - 58*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 4:14 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4432*u + 8863. Calculate y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 7*r - 78. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 58 and 60 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2066 = 4*k - 310, -4*k + 3512 = -4*x. Suppose 926 = 2*d - 3348. Let g = x + d. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 13*o**2. Let v(j) = -19*j**2 - 6*j + 6. Let n(h) = 56*h**2 + 17*h - 17. Let g(z) = -6*n(z) - 17*v(z). Calculate g(s(w)).\nAnswer: -2197*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 + -0.07. Let d = -7 - -4. Let j = -0.2 + -0.8. Which is the closest to j? (a) 2\/5 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 9*y**3 - y**2 + 6. Let f be b(3). Let g be (-57*2\/8)\/((-4)\/f). Let o = g - -246. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 4*q + q. Let k(d) = 3*d**2 + 4*d - 4. Let y be k(-5). Let b = y + q. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - 2 + 1748*n**3 - 1727*n**3 + 2.\nAnswer: 21*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 - 6*m + 6. Let t be b(2). Let g = -4 - -8. Suppose -o = -g*r + 259, 8*r - 4*r + o = 261. Calculate the greatest common factor of t and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t. Let j(g) be the second derivative of -g**5\/120 + g**3\/3 + 3*g. Let b(l) be the second derivative of j(l). Calculate i(b(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -443664 and 5.\nAnswer: -2218320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -66, 4, 0, 5 in descending order.\nAnswer: 5, 4, 0, -1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + z**2 + z + 3. Let r be m(0). What is the derivative of 2 + 15*s - r + 2 - 12*s wrt s?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17147051 to the power of 1\/2, to the nearest integer?\nAnswer: 4141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -21*s**5 - 21*s**4 - 15*s**3 - 15*s**2 - 18*s + 18. Let i(l) = -l**5 - l**4 - l**3 - l**2 - l + 1. Let t(w) = -18*i(w) + j(w). Factor t(h).\nAnswer: -3*h**2*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 141\/4. Let g(k) = k**3 - 8*k**2 + 7*k + 2. Find the common denominator of i and g(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 2865*m - 2865*m - 9049*m**3 + 0*m**2 + 6*m**2.\nAnswer: -9049*m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161\/((-88872)\/5175) + 10.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6738 - 8c?\nAnswer: -67c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**3\/2 + 2*z - 1. Let s(f) be the first derivative of p(f). Let l(h) = -2*h**2. Determine l(s(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23784?\nAnswer: 2, 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -5)*15\/12*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59385794 by 34.\nAnswer: -1746641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000725462473 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h + 51. Let u be d(-12). Let g(n) be the first derivative of 0 + 2 + 23*n**u + 4 - 24*n**3. Let a(y) = 7*y**2. Determine a(g(p)).\nAnswer: 63*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4365 divided by 20\nAnswer: -873\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13496*y + 19976 = -106390 + 4902 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 874 + -871. Let c(m) = -151*m + 455. Let t be c(u). Find q such that 1\/5*q**t + 3\/5*q + 2\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1557 - 665. Let m = n - 891.999573. Round m to five decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:13 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*(1 - -1 - 3). Let d(o) = -o**3 + 10*o**2 - 10*o + 14. Let k be d(c). Solve -k*u + 0*u = -5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 538, 1076, 1612, 2146, 2678, 3208?\n\"Answer: -s**2 + 541*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-48)\/4)*3*(-11)\/99.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/14, 0.2, 6, -164, 0.1, -4\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 18 - 30. Let s = 24 - a. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by -13.\nAnswer: -51\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 36421342.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 189, -3\/16, 4, -0.2, 0.1 in ascending order.\nAnswer: -0.2, -3\/16, 0, 0.1, 4, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 9:23 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3254363, -6508726, -9763087, -13017446, -16271803?\nAnswer: -19526158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**4*b)**(3\/31)\/((b*b*b*b**(-10)*b)\/b*b*b**(-6)*b*b) assuming b is positive.\nAnswer: b**(331\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**5 + 30*q**4 - 5*q**3 - 175*q**2 + 240*q - 124. Determine n so that p(n) = 0.\nAnswer: -24, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/294)\/((-2)\/8*1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 3*d**2 + d + 4. Let s be w(-3). What is the tens digit of s + (14 - 0\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14337, 28666, 42995, 57324?\nAnswer: 71653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24603 and 1834251.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 1:15 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1900 and 162260.\nAnswer: 811300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1378 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.8 (c) -0.3 (d) -0.76 (e) -0.074\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3610 + -3585. Solve -d - 3*g = 9, -g - 7 = h*d - 26*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70589 is divided by 35288.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/((22\/(31680\/75))\/((-28)\/(-36))).\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31.8 + 30. Let p = m - 2.2. What is the third biggest value in 4\/7, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10698794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and -0.1661.\nAnswer: -0.28237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -6\/199?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 10. Let h(z) = -z - 1. Let j(r) = r**3 - 8*r**2 + 6*r - 13. Let f(q) = -3*h(q) + j(q). Let s be f(v). Solve -b = s*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.6 - -23.6. Let f = 7.8 - 8.1. Let p = 0.29 - -0.01. Which is the second smallest value? (a) y (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*c = 89027, 0*k - 5*c = -2*k + 44517. Let i(g) = -g**3 + g**2 + g + 15056. Let j be i(0). Let o = k - j. Round o to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 + 4*s**2 - 4*s**2 in the form w*s**2 + o*s + c and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-44)\/2)\/528)\/(2\/(-318)). Do 6 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + 1 + 3 + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1040 - 1039.9. What is the nearest to -1\/3 in b, -57.9, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**2\/2 - 189*i\/2 - 183 = 0. Calculate i.\nAnswer: -61, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4, -4*o + 343 - 329 = -3*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.147963 - 9.147973. Let w = 7.81 + 0.19. Let q = w + g. What is q rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96\/65 + -14\/13. Is -4\/5 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*y - 5, -2*y + 4 = 5*z - 6*y. Suppose 0 = 4*s - m - 31, -4*s + z*s + 37 = -3*m. Suppose -3*c = -s - 5. Solve k + c = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z**2 + 102*z - 67. What is the remainder when 1890 is divided by c(7)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94 + -94 + -14 + (-1 - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*l**2 + 1641*l - 1641*l + (-3 + 4 - 2)*(l**2 + 3*l - 9 + 9).\nAnswer: 31*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 + 2*s**2 - 3*s - 2. Let y(l) = 9*l**2 - l. Let v(w) = -25*w**2 + 3*w. Let q(d) = -4*v(d) - 11*y(d). What is -n(a) + 3*q(a)?\nAnswer: 2*a**3 + a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) -217960 (b) -2\/5 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 6*n**2 + n + 8. Let w be d(-6). Suppose -3*y - w*y = -15. Find the second derivative of -a - 4*a**3 + 4*a**y + 7*a**5 - 3*a**5 wrt a.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16598 is divided by 200?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7)*q)\/q)**(2\/21)\/(q**(3\/5)*q**2)*q**(1\/3)*q**4*(q**1)**(1\/8) assuming q is positive.\nAnswer: q**(3589\/1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.9 + -40.9. Let t = 112 + -115. Put 1\/6, q, 3\/7, t in ascending order.\nAnswer: q, t, 1\/6, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6199988\/(-8)*(0\/2 + -4). Suppose -5*d + 2*u - g = 5*u, 4*d - 4*u = -2480008. Round d to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2285177\/371580 - -2\/18579. Find the common denominator of (2 - 111\/22)\/(-1) and p.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1936\/6776 - (0 + 3\/(-21))*194.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -13*c. Let l(j) = 34*j - 2. Determine z(l(s)).\nAnswer: -442*s + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 2*x + 25. Let l be (4 - x)\/(2\/(-14)). Suppose 5 = 4*k - l. Calculate the greatest common factor of 24 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.19 + 0.19. Let o = -11 - y. Which is the closest to -1? (a) o (b) -1 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/80 and 139\/14808.\nAnswer: 148080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, z: 1, o: 8}. Give prob of picking 2 f.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 4*r**3 - r**3 + (-1 - 3 + 0)*(3*r - 3*r - 2*r**3).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 25, 365 = -o - 5*z + 3237. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by 6899.\nAnswer: -57\/6899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 5:05 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g**2 - 1. Determine m(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 + 173 = -17*d. Solve 3*f - 2*c - 7 = 0, -4*f - c = 3*c + d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p, -6*p + 34 = 3*a + 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 0*g**5 + 0 + 53\/3*g**3 - 1\/30*g**6 - 83*g**2 + 0*g**4 + 196*g. Differentiate v(z) with respect to z.\nAnswer: -4*z**3 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6380*m + 4984*m + 7673*m + 9498*m - 978050 for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -25*x**2 + 91*x - 6. Let t(o) = 847*o**2 - 3094*o + 203. Determine 203*q(s) + 6*t(s).\nAnswer: 7*s**2 - 91*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*x - 16*u + 13*u, -4*x - u = -6. Suppose 4*r - 7 - 9 = 0. Solve r*v + 5*h = 17 + 11, 3*v - x = h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349526, 699046, 1048564, 1398080?\nAnswer: 1747594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p. Let b(k) = -5*k + 19. Let f be b(4). Let j be f\/((-10)\/4) + (-2279)\/(-265). Let w(t) = 6*t - 2*t + j*t. Give g(w(q)).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 - 58. Suppose -23*a + 40 = -b*a. Let n be (-6)\/33 + 12\/187. Sort a, -1, n, 0.3.\nAnswer: -1, n, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3707320, 7414641, 11121962, 14829283, 18536604?\nAnswer: 22243925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210863 + -160675619?\nAnswer: -159464756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -278, 5, -0.232?\nAnswer: -0.232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -11*f + 6. Let y be u(3). Let s = 50 + y. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 2*w - 3. Let q be c(3). Suppose -6 = m - q*m. Is 2\/m + 62\/6 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + -1)*(-12*(-312)\/108 + -34)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 28170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1450 + -1453)\/((117\/546)\/(2\/14*-4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.5 + 1.5. Let q = -2 - p. Let t = -4\/19 + -2\/171. Which is the third biggest value? (a) 1 (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 6:06 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 6*j**2 + 5*j + 7. Let v be q(7). Let m(k) = k**2 + 7*k + 2. Let b be m(v). Suppose -b*t = -t - 3. Solve t = -d + 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 363*v.\nAnswer: -v*(v - 363)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*n - 66*n + 137*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6656 = 4*k - 20*k. Let w = k - 68. What are the prime factors of w?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 10*r - 14. Determine f(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2 + 905946*f + 43478496 = 0. Calculate f.\nAnswer: -301934, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15719 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**3 - 76*r**2 - 28*r**3 + 12*r + 21*r**3.\nAnswer: 6*r**3 - 76*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*w**4 + 0*w**3 + 0*w**2 + 0*w + 0.\nAnswer: w**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -9 - (1 - -2) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*x = -4*g + 244*x + 8622, 0 = -3*g - 4*x + 6454. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d - 2 = -2. Put -3, d, -1, -2 in ascending order.\nAnswer: -3, -2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/24 - 8 - 60\/(-88).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 bigger than 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24560)\/48*(-6)\/10. Suppose 5*c + 325 = -5*n, -4*n + 54 + f = -5*c. Sort c, -5, 2.\nAnswer: c, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -11196, 5, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in 0.4, -47\/19, 4?\nAnswer: -47\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + sqrt(2448)*-3 - sqrt(2448))*-2*3)**2 + 1*(((sqrt(2448) - sqrt(2448)*-1 - sqrt(2448)) + sqrt(2448))**2 + sqrt(2448) + 4).\nAnswer: 12*sqrt(17) + 802948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10270.\nAnswer: 2, 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.5 and 1672?\nAnswer: -15884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 12 + 4. Let g(n) = -2*n - 2. Give g(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000111011011 + 10000011000?\nAnswer: -1000110111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 11) to base 5.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 8:26 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 364033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 32. Let w be 2*5\/((-5)\/(-2)). Solve m = 2*m - 4*o - i, 5*m = -4*o - w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 16*l + 18)*(4 - 1 - 1) + 2*l - 1 + 0 + 2.\nAnswer: 34*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 9:05 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 1973*z**7\/210 - z**4\/12 + 2081*z**3\/6 + 7*z**2 + 203. What is the second derivative of k(h) wrt h?\nAnswer: 23676*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -98, -95?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 123)\/((-6)\/6). Is n != -126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22 - 4\/(0 + -2). Suppose 6*h = -25 + 13. List the prime factors of (-3 - h)*1 + a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 smaller than -58439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 2, 2\/92331 in descending order.\nAnswer: 23, 2, 2\/92331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7926*s + s**3 + 7926*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -7*y**4\/20 - 2*y**3 + 27*y**2\/10 + 2*y + 147. Find a such that c(a) = 0.\nAnswer: -5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 12 = 11*p. Let x be 6 + -7 + -5 + p. Suppose 2*c + 4*v + 5 - 15 = 0, 25 = 5*c + 5*v. Which is bigger: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-15) + 1)*117. Let w be (-2)\/11 + l*4\/132. Suppose 0 = -10*a - 1 + w. Solve 0*b - 2*b + 8 = a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24696)\/15*(-120)\/18. What is the remainder when 225 is divided by q\/144 + (-1)\/(18\/4)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 276, 0, -0.3, -4 in descending order.\nAnswer: 276, 0, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 + 4*z - 4*z - 9*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -57*s + 519. What is the remainder when c(7) is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r**2 + 32*r. Let s(u) be the first derivative of u**3\/3 + 3*u**2\/2 - 12. Give 3*q(m) - 32*s(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 13*c - 28. Let w be m(-10). Find the second derivative of -57 - 29*a**2 - 2*a + 3*a**2 + w - 30 wrt a.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 4*y - 7. Let w be 7 + 1 - (5 - 8). Let z be 57\/w + (-2)\/11. Calculate r(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80379\/5382 - (2 + 16 - 3)?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 11 + 3\/2*a**2 + 21\/5*a**5 + 57\/4*a**4 - 6*a + 15*a**3. Factor c(f).\nAnswer: 3*(f + 1)**3*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -46*k + 254. Let z be t(5). Suppose 0 = z*m - 27*m - 3. Let w = -100 - -699\/7. Which is the nearest to m? (a) 4\/9 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.17 in -294, 0.09, -33?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 3, o: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1898, -1905, -1916, -1931?\n\"Answer: -2*k**2 - k - 1895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2362, 4745, 7128, 9511?\nAnswer: 11894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + 0 + 5)*6)**2*5.\nAnswer: 14400*sqrt(13) + 154260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 5*q - 6. Let u be y(-6). Let i(t) = t**2 - 4*t - 3. Let h be i(5). Solve u = f - h*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 13 = 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*v - 3*f = 86*v + 15, -v + 25 = -5*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 648*s - 70. Let d be w(6). Calculate the greatest common factor of 332 and d.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.2482017 rounded to 3 decimal places?\nAnswer: 39.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 20856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -67 + 2 + 37 + -20.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 9*u + 12*u + 14*u. Suppose 146 + 118 = 22*p. Calculate the remainder when b(1) is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -84*k**2 - 51*k - 2. Let h(w) = 170*w**2 + 110*w + 2. Let g(z) = 6*h(z) + 13*m(z). Differentiate g(i) with respect to i.\nAnswer: -144*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3 = 13. Let u(l) be the third derivative of -l**6\/60 + l**5\/15 + l**4\/12 - l**3\/6 + 251*l**2. Calculate u(q).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 374*a**2\/7 - 9406480*a\/7 + 21558.\nAnswer: 2*(a - 25151)*(187*a - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15775521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -603\/8 and 0.059 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 8*q**2 - 14*q - 20. What is the thousands digit of c(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 5.96. Let z = 0.16 + h. What is the second smallest value in 1\/6, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 875544 + 299?\nAnswer: 875843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-8)*40\/(-30). Let t be q + -4 + 12\/3. Which is smaller: -25 or t?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508 = 641*w - 2076 - 5483 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**2 + 89*l + 23719. Give y(105).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/4*4)\/((-5)\/(-20)). Sort w, -63, -2.\nAnswer: -63, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00167943 to 5 decimal places.\nAnswer: 0.00168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 17 = -z, 10*l + 80 = -5*z + 135 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2506152000 rounded to the nearest one million?\nAnswer: -2506000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {t: 3, b: 2, z: 3, f: 12}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 359*c - 2*c**3 + 51*c - 5*c**2 - 5*c**3 + 5*c**3 + 10*c**2 to the form w*c + b*c**3 + r*c**2 + o and give w.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (-1 + sqrt(19) + 2))*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15 = 5*d + 2, 0 = 2*v - 2*d - 50. Determine q, given that v*q**3 - 10*q**3 - 15*q**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-36) + (-276)\/(-504).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 7*w + 5. Let r be q(-7). Suppose -r*u - 25 = -5*d, -4*d - 4*u - 15 = -3*d. Find the first derivative of 2*j + 2*j**3 + d - 2*j wrt j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6.773822 days?\nAnswer: 585258220800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 2*w + 77, 2*z + 583 = w + 620 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 = x, 5*x + 25 = -0*x. Suppose -5*m - p*j = -79, 0*j = 4*m - j - 70. Let k = m + 124. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(22)\/sqrt(2) + 3)*6)**2 + ((-4*(sqrt(44) - sqrt(176)))\/sqrt(4))**2)*5.\nAnswer: 1080*sqrt(11) + 4480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -15*h - 5. Let z(o) = -115*o - 41. Let t(q) = -17*i(q) + 2*z(q). Let r(c) = 76*c + 10. Determine -5*r(b) + 16*t(b).\nAnswer: 20*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 - -80. Let j = 3 + -9. Let t be (-46)\/10 - j\/(-15). What is the second biggest value in 5, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 508*h + 3*h**2 - 506*h + h**4 - 2 - 5*h**2 in the form q*h**2 + l*h**3 + p*h + f*h**4 + s and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 19788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-20)\/(j\/j**14))\/(((j*j**6)\/j)\/j**(-8)))**(-10) assuming j is positive.\nAnswer: j**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 230 - 2068\/9. Factor -2\/9*v**2 - x*v + 4\/9.\nAnswer: -2*(v - 1)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.603482 nanoseconds in seconds?\nAnswer: 0.000000001603482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30238 + -30237.3. Let k be (-5)\/16*-2*4. Let u = -0.5 + 0. Sort u, s, k in decreasing order.\nAnswer: k, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 18*d + 15. What are the prime factors of f(15)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 73.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 9*r + 8. Let g be y(-8). Let f be -2 - (-2626378)\/(g + 1). Let j = f - 5226376. What is j rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-40)*(-24)\/(-18).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6069168 divided by 3024.\nAnswer: 2007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23592423211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 7:13 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1435.\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4187)\/(-3476)*-4*-11\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1024617, -2049217, -3073817, -4098417, -5123017, -6147617?\n\"Answer: -1024600*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) - 6\/(-9). Sort g, -0.4, 3\/5 in decreasing order.\nAnswer: 3\/5, g, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 382247 - 571459243\/1495. What is the common denominator of y and 19\/6?\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from {w: 1, e: 1, x: 1, f: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -14 + 27 - 33\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 652550, 2610144, 5872796, 10440506, 16313274, 23491100?\n\"Answer: 652529*k**2 + 7*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4328454 is divided by 181?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + -5*(sqrt(153)*-2)\/sqrt(9) + (sqrt(102)*1*6 - sqrt(102))\/sqrt(6) + sqrt(204)\/(sqrt(12)*-1)*-3)**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 14*g = -11*g - 5*a + 67, 0 = 25*g - 3*a - 81 + 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2216 divided by 4.\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 26162?\nAnswer: 78486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -603 + 613 - 147*c - 7*c + 275*c**2. Let v(z) = -413*z**2 + 231*z - 16. Let u(s) = 8*d(s) + 5*v(s). Find the second derivative of u(p) wrt p.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 4701?\nAnswer: -4702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -44?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - u = 4, -3*u + 5 = 4*b + 9. Is b <= -34\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -669*-1569.\nAnswer: 1049661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20ad3 (base 14) to base 3.\nAnswer: -11000100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*2\/(-6)*1\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008264 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/255 and ((48\/(-176))\/(4\/152*2))\/(-17)?\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + 5*j**2 - 5*j**2)*(-228 + 59 + 37) + 0*j + j + 0*j**2 - 8*j**2.\nAnswer: -404*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 - 12 = -2*k, -5*k = o - 28. Suppose o*r + 1 = m - 2*m, -4*m + 9 = -r. Solve -y = m*v + 2, 0*v = -v - y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.15 + 4.15. Let j(x) = 4*x**3 + 2*x**2 - 1. Let z be j(1). Let q = -49.8 + 50. Which is the third smallest value? (a) z (b) p (c) 2\/9 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 5*m**2 - 5*m + 6. Let q = 40 + -35. Suppose j + 4*c = 12, -c - 3*c - 12 = -q*j. Determine a(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 14. Let t be k(-9). Suppose -4*y + 4 = -t. Sort 3, y, 8.\nAnswer: y, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czb when three letters picked without replacement from zczzzzbzbz?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -7 - 210\/(-26 + 11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37190 + 37255. What is the remainder when 6889 is divided by y?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3852039*s**6 - 5*s**2 - 344689 wrt s.\nAnswer: -462244680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1715 + 2494. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -53577\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000271402 rounded to six dps?\nAnswer: -0.000271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 73. Suppose -3*a + 5*h + n = -0*h, 2*h - 34 = -3*a. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 2 - 2)*(3 - 2 + 0)*(58*f**3 - 2*f**3 - 17*f**3 + 5*f**3) in the form y*f**2 + n*f + k + p*f**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11017 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 7:45 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 g when four letters picked without replacement from ffggg?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/9))**(-22)*a**14*a*a*a\/a**(-12) assuming a is positive.\nAnswer: a**(41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -56. Which is smaller: d or 12?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from eeeeeeheheeeeheeehee.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-5)\/(-11))\/((-25)\/(-30)) and -15\/908?\nAnswer: 9988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 1\/24*v**4 + 4*v**2 + 0*v + 1\/3*v**3 - 12. Let r(s) be the second derivative of g(s). Give r(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -15*o**3 + 8*o**2 - 8. Let z be 21 + 2*1\/(-1). Let p(d) = 4*d**2 - 4 + 19*d - 7*d**3 - z*d. Let b(t) = 13*p(t) - 6*v(t). Determine b(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, s: 4, r: 1, h: 9}. Give prob of picking 1 h and 3 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 44.\nAnswer: 23\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8057, 92, -2, 2 in increasing order.\nAnswer: -3, -2, 2, 92, 8057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85.1408 + 0.1592. Let t = n - 85. What is the closest to 0 in t, -3, 7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 + -15.98. Let y = -58.2 + 58. Let q = y + 1.2. Which is smaller: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*sqrt(1216)*-1 + 1) + -3 + 4 + 2 + 1.\nAnswer: -2 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -41*g**2 - 2*g + 11. Let l(w) = 165*w**2 + 8*w - 36. Calculate -2*l(n) - 9*v(n).\nAnswer: 39*n**2 + 2*n - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 3*c + 16, -3*a - 18 = 4*c - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3981, -3983, -3983, -3981?\n\"Answer: d**2 - 5*d - 3977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 7*y**2 + 5*y + 8. Let p be q(6). Let f = -654 - -1069. Suppose -645 = -3*t + 3*n, -3*n = p*t - 2*n - f. Round t to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 109*g - 1468. Let x be q(-30). Determine l so that 12\/5*l**x - 8\/5*l + 2\/5*l**4 - 8\/5*l**3 + 2\/5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddnn. Give prob of picking 1 n and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0 - 2 + 3)*(1 + 1 + 1).\nAnswer: -3*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 2*m = -3*c + 7, -c = -5*m - 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r - 46566 = -125*r. Solve r*u - 42 = 604*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -796760969*l**2 - 58686386*l wrt l.\nAnswer: -1593521938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -66036 at most -66032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awrw when four letters picked without replacement from {r: 1, a: 1, l: 2, w: 2}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 26*c**3 + c**2. What is v(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 833 - 828. Solve -g*y + 2*a = -20 - 15, -y - 15 = 4*a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 15*v + 46. Give d(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 102159.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**3 + 71*d**2 - 1230*d - 13418089 wrt d.\nAnswer: 6*d**2 + 142*d - 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 12:10 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43\/((-4515)\/(-45))*84?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*q - 4*q + 19, 4*q - 17 = 3*x. Suppose 0 = 5*h - 36 + 6. Let s = 3899 + -3897. Solve -u + q*c = -7, -2*u - h = s*u - 3*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + -9 + -15 + 35 + 26?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9 - 6 = -g, -5*m + 45 = -5*g. Suppose -q - m*v = 6, -6*q = -q + 2*v + 30. Put -2, -4, q in decreasing order.\nAnswer: -2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k - 40. Let r be (1 + 0)\/(4\/160). What is the greatest common divisor of k and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 689387*x + 104569 - 104569 - 689366*x.\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509038077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59551477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514*j + 108097 = 532*j + 12625. Is j a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-4 + 1 - -6 - 7) + 9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 241927 times -364?\nAnswer: -88061428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1276, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2193 + -1824. What is the highest common divisor of 82 and z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10110764 + -10112842.4956. Let t = o + 2129.5. Let h = 51 - t. Round h to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -46, -48, -50, -52, -54?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63932608 is divided by 22615?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 533 + 180. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/5*o**2 + 0 - 2\/5*o**4 + 2*o**3 + 8\/5*o.\nAnswer: -2*o*(o - 2)**2*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9*f**2. Let v(g) be the second derivative of -g**4\/12 - 3*g. Determine k(v(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*k - 1376 + 102 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5549794, -11099591, -16649388, -22199185, -27748982?\nAnswer: -33298779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(10)\/sqrt(5)*5 - (sqrt(14)\/(sqrt(21)\/sqrt(3)) - sqrt(2)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17376 = -43*x - 10*x - 2271. What is the greatest common divisor of x and 798?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 668817430?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 2. Let l(u) = -5*u + 9. Suppose 0 = 2*s + 3*s - 45. Give s*d(o) + 2*l(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 8:40 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -15226*v + 34. Let l be n(9). Round l to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -1. Let d(c) = 17*c - 3. Give d(y) - 2*i(y).\nAnswer: 17*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (6 + (1 - 12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 100 = 21*q + 6*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i**2 - 2*i - 1. Determine l(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7\/27 (b) 0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -38*w**3 + 6*w**2 - 6. Let t(x) = -1066*x**3 + 169*x**2 - 169. Determine -6*t(j) + 169*y(j).\nAnswer: -26*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -479\/4, 2\/13?\nAnswer: -479\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*7.4\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 78 - 4 - 2\/(-2). Let o = 29 - a. Let p = -29 - o. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 205009?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 9\/2*c**2 - 19*c - 1\/3*c**3 + 164. Give v(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 1:51 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(10 + 234\/(-24))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -2\/11, -337, 2\/27 in increasing order.\nAnswer: -337, -1\/3, -2\/11, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 142528597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*c - 224*c - 223*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1042)\/4 + (-76)\/152. Let i = d - -267. Solve -j = 3 - i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 + 1)*(7*g - 2*g - 3*g) + 95*g - 15 + 8 + 6)*(0*g**2 - 2*g**2 + 4*g**2) in the form o*g**3 + n + w*g + q*g**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 410, 919, 1626, 2525?\nAnswer: 3610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 7:56 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25230570 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: Suppose 2*o = 15*o - 208. Calculate the greatest common factor of 368 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 395 = 7*f, 0 = 47569*f - 47573*f + 3*z + 240 for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -53, -54, -51, -44?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3419344 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 5*p - 4. Let y be t(6). Let q(v) be the third derivative of -v**5\/60 - v**4\/8 + v**3\/2 + v**2. Let a be q(-3). Solve -a*x - 10 = y*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225 divided by 13\nAnswer: -225\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (-205704)\/2448 - 37.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4 and (-1 + (-8)\/(-15))\/(72\/1020).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 87, 253, 537, 945, 1483, 2157, 2973, 3937?\n\"Answer: t**3 + 53*t**2 + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 125*h**5 + 20600*h**4 - 45955*h**3 - 4870*h**2 + 23420*h + 6680 = 0.\nAnswer: -167, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1981 = -w + 4*x, -w - x = -3*x - 1977. Suppose -2*a = -a - w. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824808?\nAnswer: 2, 3, 34367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2130419109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -19*m**3 + 2*m**2 + 17*m**3 + 2*m**4 + 2*m**5 - 4*m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a. Let m be (12\/(-8))\/((-3)\/(-20)). Let v be (m - -11) + 2\/2. Let o(x) = -3*x + 3*x - 3*x**v. Calculate j(o(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*k**3 + 2*k**3 - 11*k**3 + (-2*k + k - k)*(5*k**2 + 0*k**2 - 4*k**2) + k**3 - 5*k**3 + 12*k**3 as g*k**2 + d*k**3 + v + a*k and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 56*u. Let g(d) = 592*d. Determine g(p(x)).\nAnswer: 33152*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -891, -10656, -26935, -49722, -79011, -114796, -157071, -205830?\nAnswer: -261067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1673169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Suppose -z + 21 = 4*f, 0*f - x*f + 18 = 2*z. Suppose -z*r = 8 + 2. Is r less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 24539*z - 3116448. Determine n(127).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124259 is divided by 2176.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*f - 101*f + 68*f)*(3 + 0 - 1).\nAnswer: 76*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1470)\/(-455)*65\/10?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18333601 and 1166.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3085.9025 - 3104.9024935. Let q = -19 - o. What is q rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, -1\/8, 10 in decreasing order.\nAnswer: 10, -1\/8, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 70*x**3 + 8*x**2 + 5*x + 25. Is j(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 8. Let m(o) = o**3 - 4*o**2 - 6*o - 10. Let j(b) = -b**3 + 3*b**2 + 5*b + 9. Let h(p) = 7*j(p) + 6*m(p). What is h(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.2, -0.3, 28?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548782 is divided by 11676?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + a + 50. Let c be (-3)\/((-5)\/a*7). What is the fourth smallest value in c, 0.4, 2\/11, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76992.\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2\/9, -0.07, -4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*g - 2*k - 6 = 521*g, -5*g - k = -22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 5*p**8\/1008 - p**7\/126 + p**6\/270 - p**3\/3 + 2*p. Let a(c) be the second derivative of x(c). Solve a(n) = 0 for n.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*c - 0*c - 4*o, 0 = 5*c + 4*o + 33. Suppose 4*q - 43 = -d, d + 2 = q - 5. Let s = q + c. What is the greatest common factor of s and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3900 or -3582?\nAnswer: -3900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 11. Suppose 2 = -3*w - 4. Let b(k) = -15*k**3 - 2*k**2 - 3*k - 1. Let n be b(w). Calculate the highest common divisor of n and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43006?\nAnswer: 2, 21503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d**2 + 217 + 2*d - 214 - 4*d**2 as g*d + h + z*d**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*y - 19, -y + 3 + 0 = 0. Let l(f) = -3*f. Let c(a) be the third derivative of a**4\/12 - a**2. Let m(z) = -5*c(z) - 3*l(z). Determine m(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 35. Let r(l) = -l**3 + 7*l**2 + l + 10. Is r(i) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -26?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o**2 + 10*o + 10. Let v = 40 + -39. Let x(d) = -d**2 - d - 1. Give v*p(t) + 8*x(t).\nAnswer: -2*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40714548247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -342 (b) -4\/7 (c) 0.03 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144*(-120)\/(-57600))\/((-1)\/55)?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -40, -70, -116, -184, -280, -410?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1779 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 152\/7 + 4\/(-98)*-7. 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: In base 2, what is 101 + -111001101111?\nAnswer: -111001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-13)\/26 + 3\/2). Suppose 0 = -2*l - 5*g + 752, x + 6 = 3*g. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-20) + (-1)\/2)*(-9339)\/(-1698)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 12:04 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (94 + 61 - 70)*((-r + 0*r + 0*r)*(-21 + 6 + 7) + 0*r + 3*r + 3*r) in the form m + z*r and give z.\nAnswer: 1190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 235064*c - 705174.\nAnswer: -2*(c + 3)*(c + 117529)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 30, 96, 166, 240, 318, 400?\n\"Answer: 2*q**2 + 60*q - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93*p**3 + p - 2414 - 23*p**3 + 2569 wrt p.\nAnswer: 210*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/(24\/108). Let x be ((-2)\/18)\/(32\/(-144))*60. Suppose -x*v = -8*v + 22. Sort 2, a, 3, v.\nAnswer: a, v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19, -52, -138, -5?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5669 + -1904. Suppose 0 = 5*c - x + 6*x - s, -1478 = -2*c + 5*x. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51898 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 27*f**2 - 49*f + 44. Give y(-25).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 840 and 360.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-27))**(-2\/69)\/(a**38*a*a**(-5\/2)*a) assuming a is positive.\nAnswer: a**(-5071\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11333.86 - 11495. Round u to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 10:26 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1 - 58\/(-16)) + -3)\/(-9). Which is the closest to -1? (a) q (b) -2\/19 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 19798 = 125642. Suppose -5*p + 77461 = k. Round p to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-1)\/w*w)\/w)**(-1\/7)\/(w**(-1))**(2\/59) assuming w is positive.\nAnswer: w**(2\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -57, -0.01758, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + x = -14. Let y(j) = 3*j**3 - 4*j**2 + 6*j - 6. Let d be y(x). Suppose 0 = 4*z + z + n - 28, -5*n = 4*z - d. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.6216 litres in millilitres?\nAnswer: 249621.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6\/5 (b) 5 (c) -5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 5. Let i = z + -12. What is the closest to 1\/5 in 0.4, -1\/2, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142 + 301?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 29 - 31 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(5)*4 + sqrt(5) - (sqrt(55)*1)\/sqrt(11).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3440951 by 8.\nAnswer: 3440951\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 889, -8328, 17, -5.\nAnswer: -8328, -5, 17, 889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -207.8358 (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -6365416.\nAnswer: 3\/6365416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1840784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 5*v**2 - v + 5. Let x be b(5). Suppose -3*o + 4 + 44 = x. Let t = 4 + o. What is the highest common factor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/22722 and 43\/3787.\nAnswer: 22722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 123?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2363 + 2378. Solve -g = -11*k + 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - r**2 - 2*r - 1. Let s(v) = 4*v**3 - 3*v**2 - 7*v - 3. Determine -4*s(l) + 14*y(l).\nAnswer: -2*l**3 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*j**2 - 2*j + 6*j + 232 - 158 - 4*j + 34*j**2.\nAnswer: -j**2 + 74","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 303552061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -478 and 5?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 273505921.000081 - 273505797. Let n = i - 124. Round n to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2027*l + 378 = -2006*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 40*d + 14. Determine q(21).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7694, 7823, 7964, 8123, 8306, 8519?\nAnswer: 8768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (5 - 3) - -4) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 9, 52, -3 in increasing order.\nAnswer: -7, -3, 9, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 7:20 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*a + 1439 = -142*a - 15358 - 11051 for a.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 + 42*z**3 - 12*z**3 - 239 + 239 - 9*z as m + o*z**2 + k*z**3 + g*z and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 2*z**2 + 4*z - 2. Let j = -5 + 7. Give g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 5161\/(-273) + (-10 - -21)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 2*b**2 - 2. Let t be v(2). Suppose 0*k + t = 2*x - 2*k, 5*x - 25 = -5*k. Let l be (1\/3)\/(x\/(-18)). Are l and -7\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 - 244584*r**3 + 3855337924*r**2 - 3561895380384*r + 848332730327104.\nAnswer: 4*(r - 30089)**2*(r - 484)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -113*n**5*q**3 + 2010*n**4*q**3 - 40*n**2 + 18133*n*q**3 wrt n.\nAnswer: -6780*n**2*q**3 + 48240*n*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*m + 156*m + 121*m = 2997. Let q(o) = 33*o + 9. Let d be 3 - -1 - 4\/2. Let c(h) = -8*h - 2. Give d*q(z) + m*c(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*sqrt(468) + sqrt(468) + 3 + sqrt(468) + -3 + (6*(0 + sqrt(468)) - (1*sqrt(468) + 1)**2) + -5.\nAnswer: -477 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-9) + (-14)\/21. Let s = -195 - -203.9. Let h = s - 9. Which is the nearest to h? (a) f (b) 2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3639\/66715*33\/(-54)*-2.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -315, -328, -357, -408, -487, -600, -753, -952?\n\"Answer: -s**3 - 2*s**2 - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.5 (b) 2 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183698 is divided by 12865.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007839882141 to seven dps.\nAnswer: 0.0000784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2 - 889764*b + 1779516 = 0. Calculate b.\nAnswer: 2, 296586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 16 - -2*(-35 - -32)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(65)*-4)\/(-2*sqrt(5)*-6) - (sqrt(260)*-1*3)\/((sqrt(60) - (sqrt(240) + sqrt(60)))\/sqrt(12) + sqrt(5)).\nAnswer: -28*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00114331335 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -295 (b) -161 (c) 3 (d) -0.12 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (5 - -9 - 10) + -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(125)*-3 + sqrt(125) - 5*sqrt(125)*-3)**2 + ((sqrt(125) + 1*sqrt(125) + sqrt(125))*5 + 3)*-6.\nAnswer: -450*sqrt(5) + 21107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 + -14. Let g = -33 + v. Suppose -2*n - n = -g. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z. Let m(r) = -93 + 3*r + 93 + 30*r + 22*r. Calculate a(m(y)).\nAnswer: -110*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/45*3)\/(80\/96*6\/(-46))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7228*h - 1741*h + 4278*h + 13544*h + 233090 = 0 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -141, -26, -795 in decreasing order.\nAnswer: -26, -141, -795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 25, 5*t - 6*z + 10*z = 1635. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.244 - 20.844. Let r = -21 - j. Let p be 135\/90*((-10)\/12)\/(-5). Which is the third biggest value? (a) r (b) 0.1 (c) p (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09828um in kilometers?\nAnswer: 0.00000000009828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = k. Let d = 12 - 0. Suppose -2*a - d = -2*m, -5*a - 32 = 4*m - 11. Sort a, -3, k in decreasing order.\nAnswer: k, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*g + 62, 56 = 2*g + l - 2*l. Which is greater: g or 28?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 5fd?\nAnswer: 5f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b**3 + 3*b**3 - 44*b**3 - 88*b**3.\nAnswer: -113*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.7 - 0.3. Let r = -0.3 - -1.3. What is the third biggest value in r, -2\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/14)\/(c*c\/((c**(1\/9)*c)\/c*c))*(c*c**9*c)\/(c*c\/((c*c*c\/((c\/(c\/(c\/c**(-1\/18))*c))\/c))\/c)))**34 assuming c is positive.\nAnswer: c**(23834\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -8 - (-4 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 12, -2*j + 12 = -3*s + 6*s. Suppose -k = -2*o + 210, j = o - 2*o - k + 105. What is the greatest common factor of 42 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14.62 and -4516867.\nAnswer: -4516881.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0335041 * 20.\nAnswer: 0.670082","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -600*f**2 + 19*f - 4*f**3 + 2*f**4 + 603*f**2 + 4*f**3 to z*f**2 + y*f**3 + l + w*f**4 + a*f and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8 = -3*o, 0*s - 2*o + 8 = 4*s. Let a(f) = 28*f + 68. Let h(n) = n**2 - 27*n - 69. Let r(x) = s*h(x) + 5*a(x). Factor r(q).\nAnswer: 4*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 9*h + 1 + 7.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)*-1 - sqrt(98))**2 - sqrt(98)) + sqrt(54)\/sqrt(3).\nAnswer: -4*sqrt(2) + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 5. Let s be p(8). Let o(c) = 6000*c. Let v be o(s). What is v rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-4)*(-1 - -2). Which is greater: 1\/3 or a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3505 + -0.253?\nAnswer: -3505.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13180054 - -5?\nAnswer: 13180060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m - 16. Calculate z(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 350\nAnswer: 3\/350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 19*z = -9*z + 4284. What is the lowest common multiple of z and 21?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 7:48 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12931058?\nAnswer: 2, 7, 19, 173, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -276, 544\/43, -1\/7, -3 in descending order.\nAnswer: 544\/43, -1\/7, -0.2, -3, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 10*n**5 - 24*n**4 + 12*n**3 + 8*n**2 - 6*n = 0.\nAnswer: -3\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104 + -5210030?\nAnswer: -5205522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(2 + 2 - 3)*(-7 - 3*g + 7)*(-2*g - 6 + 6).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63723 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*b**3*f**3*v - 2*b**3*f**3 + 21*b**3 + 2*b**2*f**3*v - 2*b**2*f**3 - 3*b*f**3 + 163*f**2*v wrt b?\nAnswer: 234*f**3*v - 12*f**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 211 - 212.86. Let q = 3.14 - l. Let d = 11 - 41\/4. Which is the nearest to q? (a) -5 (b) 5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 10:07 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, m: 6}. What is prob of picking 3 m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32224 (base 6) to base 5.\nAnswer: -120113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edjdedddeeddd. What is prob of picking 3 e?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/135 and 97\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -2\/17 (b) -4 (c) -1\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -84*v**2 + v + 7. Give y(-2).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**2\/2 + 6*y + 5. Let v(w) = -1. Let h(a) = 4. Let o(c) = h(c) + 3*v(c). What is -4*o(l) + z(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 3, b: 1}. Give prob of picking 2 k.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {l: 4, f: 6}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252681 by -589.\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 362693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10335030, 20670105, 31005180, 41340255, 51675330, 62010405?\n\"Answer: 10335075*r - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) - 1\/(-4). Let l(i) = -7*i**2 + 6*i**2 + 6 - 6*i + 4*i. Let j be l(-3). Solve 3*g - j = -f*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19208769 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + -3 + sqrt(704)*-1 + 1 + sqrt(704)*2 + -1)**2.\nAnswer: -48*sqrt(11) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 5. Let w = 27 - 1. Let r be (-8)\/(-16) + w\/(-4). Let j(o) = -1. Give r*j(x) + i(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a = -15*a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6092 divided by 3002?\nAnswer: -3046\/1501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k. Is j(-7) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3\/2, -3 in decreasing order.\nAnswer: -0.5, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -794 + 1118. What is the smallest common multiple of g and 729?\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -184\/221953?\nAnswer: -184\/221953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 159.\nAnswer: -6.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 9 = 4*c, 8 = -i - 5*c + 33. Suppose i*z - 4*z = 5. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12020 and 5868164?\nAnswer: 2404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 750967.8 hours in minutes?\nAnswer: 45058068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvaavmvmvvvvpvvpvvmv. What is prob of picking 1 v, 2 m, and 1 p?\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/24? (a) 1\/6 (b) 22 (c) -14 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -92*z - 31. Let l(u) = -34*u - 10. Let d(m) = 8*l(m) - 3*v(m). Let p(r) = 6*r. What is p(d(x))?\nAnswer: 24*x + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/14 and 61\/158752.\nAnswer: 1111264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 - 44. Let k(t) be the first derivative of -t**2 - 4*t - 1. Give k(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 10*p**2 + 25*p + 3. Let q be g(5). Suppose q*d = -d - 5*c + 844, 0 = -2*d + 4*c + 448. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*z - 2*z. Suppose 7*q = 3*b + 2*q + 3, -b = -z*q + 8. Solve b = v + v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 - 8*i**2 - 12*i**2 + (-2 + 2 - i)*(-5 + 8 + 2)*(-1 + 2*i + 1)*(-1 - 2 + 5).\nAnswer: -43*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -51\/4 (b) 2 (c) 0.01 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 608\/5 + -122. What is the nearest to 1 in 2, 3, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 4*j + 11 = 0, -1 = 3*j + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*q = -28, -2*g + 3*q + 122 = -7*g. Let r be g\/28 - 6\/(-21). Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1787, -6272, -16149, -34112, -62855, -105072, -163457, -240704?\nAnswer: -339507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**4 + 90*s**3 - 1420*s**2 - 360*s + 5600 = 0. What is s?\nAnswer: -28, -2, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4 - -2)\/(-12))\/(6\/(-384)). Let p = 160.5 - 161. Sort 1, p, o in descending order.\nAnswer: 1, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnnh when four letters picked without replacement from hmhmnnmmnmnhmnhmm.\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*v = 301*v - 16. Solve v*c = 7*c + 3, 3*c = -4*k - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67088592 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*r = -137 + 137. Let t(w) = w**2 + 92. Calculate t(r).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 24*r**2 - r. What is the remainder when s(1) is divided by -24*(-4)\/8*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -32.7. Let m = h + 1.5. Which is the third biggest value? (a) -1 (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/66 and 25\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 446907.9 rounded to the nearest one thousand?\nAnswer: 447000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953509?\nAnswer: 211, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (30650\/30)\/(5\/15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*y - 2 = -0*n, -2*n = -3*y + 3. Suppose 4*f - 174 = -2*k, 1 = k - n. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 976 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02554 rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 33.64 - 225271048496\nAnswer: -225271048462.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 + 2*i + 1. Let n = 2 + -3. Let v be 0\/n + 1 + -3. Does 7 divide f(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 3)*(3*m + 130*m**2 - 135*m**2 - m) in the form u*m + g + y*m**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9557 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -107219, -107220, -107221, -107222, -107223, -107224?\n\"Answer: -b - 107218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 7:05 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 680851.7 millilitres to litres.\nAnswer: 680.8517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*y + 17 = 0, -8*y = 5*p - 4*y + 37. Let n = 0 + p. Let b = -2.2 - -2.2. What is the third biggest value in b, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 - 50. Calculate the greatest common factor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y - 336 + 2*y**2 + 9*y + 0*y**2 + 862 to the form j + z*y**2 + b*y and give j.\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -32133520050?\nAnswer: -32133520052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2771 - -5842. What are the prime factors of w?\nAnswer: 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -95 + 113 - (-17 - (27 - 8))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131547445 + 7*q - 131547445.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170.5 - -171. Which is the second biggest value? (a) 0.0459 (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -211670 - 4.\nAnswer: -211674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 3284 (c) -221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 - 109 = -11*p + 20 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/2, 5, -12\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5161326 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18873232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4064 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 10*m**2 + 14*m. Let w = -25 - -11. Suppose 2 = 2*d - 6. Let k(u) = d*u**2 - 2*u**2 - u + u + 3*u. Determine w*k(o) + 3*i(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1284833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*c**4 + 1619*c**3 - 717425*c**2 + 1 wrt c?\nAnswer: 1344*c + 9714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 69673*z. Let j(x) = 11*x**2. Calculate j(s(o)).\nAnswer: 53397596219*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (18\/51)\/((-104)\/(-18096)*29)\nAnswer: 36\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(154) - sqrt(154) - sqrt(154) - sqrt(154))\/sqrt(7) + sqrt(22))\/(2*sqrt(396))*-3.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -121 + -4b9?\nAnswer: -61a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 + 14*t**2 + 3*t + 47. Let f(h) = h**3 - h**2 - h - 13. What is 4*f(w) + y(w)?\nAnswer: 2*w**3 + 10*w**2 - w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 123*x**2 + 13*x**3 - 12*x**3 + 96 + 47*x - 173*x**2. Let p be w(49). Which is smaller: p or -44\/9?\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139.04 + -143. Let i = q + -0.04. Which is the nearest to 0.1? (a) i (b) 4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*f + 463 - 279 = 0. Solve -f*a - 7 = -3*o, -3*a + 33*o - 6 = 30*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m + 3*m - 50*m**2 + 1 - 12*m**4 + 9*m**4 + 2*m**3 + 43*m**2 to the form b + a*m**4 + h*m + l*m**2 + z*m**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17469*-706\nAnswer: 12333114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30690)\/(-80) - (-12)\/32. Let l = 387 - h. Calculate the lowest common multiple of 185 and l.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q - 14. Let i(c) be the first derivative of c**2 - 2*c - 1. What are the prime factors of i(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-8))**(2\/45)\/(h**29)**(-1\/2))**2 assuming h is positive.\nAnswer: h**(1277\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2530.5, -3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -r - 0*r + 20, 0 = -2*m - r + 11. Suppose m = 5*c + 5*i - 2, 0 = 4*c + 3*i - 9. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.3 plus 0.25005622046?\nAnswer: 15.55005622046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4046\/9 - 1181477\/2628. Is q less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3827*m**2*q - 7369*m - 2*q wrt m?\nAnswer: -7654*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**2 + q - 2. Let h be z(1). Suppose 5*y = -3*p + 73 - 2, -14 = -2*p + h*y. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38743 + -29398. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 114*a + 2123975 = -109*a, -3*z = -5*a - 1593025. Round z to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.162257 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -4\/157 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15627 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.241? (a) 5 (b) -5 (c) 0 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 343124416969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**5\/4 - 7*s**4\/4 + 301*s**3\/2 + 603*s + 2. What is the second derivative of n(a) wrt a?\nAnswer: 30*a - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(3 + 1 - 2)*(-y - 3*y - 4*y).\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 187 - 183. Suppose -w*p = -16*p + 87276. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.241 + 1.441. Which is the closest to -1? (a) j (b) -5 (c) 0.16 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 785*r**2 + 43*r - 93. Does 3 divide b(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23232 (base 7) to base 14.\nAnswer: -2252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 7*t + 9. Let u be r(6). Suppose -2*x = -u*m + 32, -1 = -2*x + 9. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141218*w**5 + 262*w**3 + 461437430*w wrt w.\nAnswer: -2824360*w**3 + 1572*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17455\/13 + 1343. Find i, given that 0 + f*i**2 + 2\/13*i**4 + 0*i + 6\/13*i**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -159909*w. Let k(p) = 8*p. Calculate k(r(m)).\nAnswer: -1279272*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2051.68*-4.3\nAnswer: 8822.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 + -0.88. Let c = g + -0.42. What is the biggest value in c, -0.5, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000045370959 to 6 decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 + 1 - 6 + 4)*(7*l - 3 - 26*l + 43*l) as f*l**3 + j + o*l + v*l**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 96? (a) 5 (b) 0.1 (c) -41 (d) -120 (e) 0.06 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103797587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwllpffpfzpxz. Give prob of picking 1 f and 1 w.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -302, -277, -252, -227?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 6:49 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*w - 44 = 76*w. What is the third derivative of 17*q**2 + 21*q**4 + w*q**4 - 52*q**2 wrt q?\nAnswer: 1032*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 s when three letters picked without replacement from {e: 7, s: 5, u: 4, j: 3}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1806843 (base 14) to base 5.\nAnswer: 11013201334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2*b = 13 + 12, 4*s + 36*b - 131 = 45*b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) - (-580)\/87. Suppose -133 - 119 = -b*d. What is the tens digit of 1566\/d - (-4)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75311651?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*s + 11392 = -4448. What is the lowest common multiple of 132 and s?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 636, 612, 544, 408, 180, -164, -648?\n\"Answer: -4*q**3 + 2*q**2 - 2*q + 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 316.69 and 1117.\nAnswer: 353742.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6106560612 divided by -3\nAnswer: 2035520204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h*n - 1207515*h - 14685755*n**2 - 96 wrt n?\nAnswer: -2*h - 29371510*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6319, 6317, 6313, 6307, 6299?\n\"Answer: -i**2 + i + 6319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -19*r - 22. Let p(q) = 7*q + 7. Let z(c) = 8*p(c) + 3*v(c). Let w = 9 - 15. Give z(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 144*k - 3644. Let n be y(47). Calculate the highest common factor of 33 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14365 and 77740?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16742*p + 53900*p**2 - 53900*p**2 - 3595*p**3 - 3033*p**3 + 5783*p wrt p?\nAnswer: -39768*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42554 - 25389. Suppose -5535 = 5*c - s. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*t**3 - 3498*t**2 + 2*t + 3066769?\nAnswer: -102*t - 6996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 12:30 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 7059953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**3 - 93*i**2.\nAnswer: 3*i**2*(2*i - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 11*j**2 + 18. Calculate a(6).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.032, 1\/3, 0.4, 0.05, 3.7, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, c: 6, q: 8}. Give prob of sequence kc.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 70 (b) 0.5 (c) -3\/8 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80430\/22980*108\/21?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 5:10 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -921542 - 6?\nAnswer: -921548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzcczzczcpcpppcc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**0*u)\/u)*u*u*u*((u\/(u\/(u**(2\/7)*u)*u))\/u)\/u)\/(u**0)**(-1\/10) assuming u is positive.\nAnswer: u**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*h - 5 - 28, 0 = 3*h + 3*x + 27. Is ((-9)\/h + 1)\/((-2)\/(-1052)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -257, -255, -253, -251, -249?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 989, 1979, 2969, 3959, 4949?\n\"Answer: 990*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -52*w**5\/15 - w**4\/12 - 32*w**3\/3 - 17*w**2 + 3. What is the second derivative of s(q) wrt q?\nAnswer: -416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22246 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: Calculate the remainder when 6549344 is divided by 57450.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8*n - 99. Let i be s(-13). Solve i*x + 17 = 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7166.\nAnswer: 2, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/19)\/q)**(-42)\/(q*(q**10\/q)\/q*q**39\/q) assuming q is positive.\nAnswer: q**(-263\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 + 19*a - 5. Let k be s(-5). Suppose -2*l + k*z - 2*z = 0, l - 30 = 5*z. Put l, 4, -15 in increasing order.\nAnswer: -15, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -410866 divided by 205433\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 115420728 from -0.0406.\nAnswer: -115420728.0406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/5)\/(36\/(-60)). Let n(p) be the second derivative of 0 + 1\/6*p**3 - 3\/2*p**k - 3*p. Calculate n(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-38)\/n)\/n**(1\/10))\/((n*n*n**(-20)\/n)\/(n**(-6\/11)*n)) assuming n is positive.\nAnswer: n**(-2161\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208\/321 + -2\/107. What is the nearest to -2\/7 in 2, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9036)\/(-54)*3\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-150) - (-270)\/(-250))*(0 - 5). Let m(g) = -g**3 + 9*g**2 - 14*g + 10. Determine m(z).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + q + 3. Let t be (7 + 1 + -2)*117\/27. Suppose 0 = y - 29 + t. Let w(a) = -2*a**3 + a + 7. Determine y*w(p) - 7*m(p).\nAnswer: p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 1211985*x + 42 + 605980*x + 605998*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -312038012*q**3*u**3 + q**3 + 204245732 wrt u?\nAnswer: -936114036*q**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 136046480 to the power of 1\/2, to the nearest integer?\nAnswer: 11664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 103, 152, 201?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -2*h + 89 - 64\/5*h**5 + 0*h**3 - 21\/2*h**2 + 0*h**4. What is the second derivative of a(c) wrt c?\nAnswer: -768*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -1647 (c) -0.23 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(684)*2)**2.\nAnswer: 2733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.8 and 0.22.\nAnswer: 0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 55272\/705*50\/4. Calculate the highest common factor of m and 294.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*c + 15, -8*d + 11*d - 32 = 4*c. Calculate the remainder when 79 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 4*p**2 + 1. Let w(h) = 3*h - 12. Let r be w(5). Determine l(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 r when three letters picked without replacement from oomurovoouorouao?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 1860?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 44*f**3 + 6 - 9.\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4032314418.\nAnswer: 2, 3, 11, 887, 68879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 485263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164872*h**3*n + 258*h**2*n + 7*h**2 - 3*h*n wrt h?\nAnswer: 989232*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 358172 to the power of 1\/2, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 209 = -5*k + 238, -2*k = 5*m - 23 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(((g\/(g\/(g**(-27)*g)))\/g)\/g)))\/((g\/(g*g\/g**(-2\/33)))\/g))**(-19) assuming g is positive.\nAnswer: g**(16264\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 86. Let w(c) = 50*c**2 + 5*c - h*c**2 - 6*c. Determine w(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 = 31*c - 32*c - 72*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9118 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w + 8*w + 5*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 + 0?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-13)*(k*k\/(k\/k**(-1\/24))*k*k)\/k*k)**(2\/115) assuming k is positive.\nAnswer: k**(-241\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226 + 104. What is the least common multiple of h and 18?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1083\/57 - (-457)\/(-24))\/(2\/(-8))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26521975 to the nearest integer?\nAnswer: 5150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123906 by 20.\nAnswer: 61953\/10","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 5*a - 22100, -4*n + 3*n = -4*a + 17708. Is a a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2676172076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -416 - -421. Solve -2*n + u*w + 0*w = -9, 4*n - 10 = 2*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 5*d**4\/24 + 35*d**3\/3 + 145*d**2 + d + 1. Calculate p(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((45\/(-18))\/(-5))\/((-7)\/14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 1:24 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmmmbmmmmm. What is prob of sequence bm?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 486 and -3.8.\nAnswer: -1846.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265 a factor of 4459125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640 is divided by 80?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1592.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -1. Is 18\/x*7\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 273936 = 273935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 42*p + 44. Which is the nearest to p? (a) 43 (b) -2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**3\/3 - 3*v**2\/2 - 4*v - 73. What is o(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1540 - -2037. Let q = 7 - 5. Suppose -3*r + y = 4*v - 36, -2*v = q. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n. Let z(m) = -24*m + 4. Let y(c) = -217*c + 35. Let o(p) = -4*y(p) + 35*z(p). Give h(o(g)).\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*i**3 + 7*b**2 - 6*b*i**4 + 4*b*i**2 + 2*i**4 + 2*i**3 + 78*i**2 wrt i?\nAnswer: 12*b**2 - 144*b*i + 48*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 19 = 1. What are the prime factors of (-15)\/z - (-81)\/2?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/183 in 5, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1915000 to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u + 11 = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51431 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7388.447ml to litres.\nAnswer: 7.388447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -73665 >= -73667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8633 divided by -97\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.36 + 0.24. Let p = -19 + d. Let r = p + -1.2. What is the closest to -2\/5 in -0.1, r, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 2}. Give prob of sequence wm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -41. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/(-75) - (-204)\/110 and -77\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455)*1 + sqrt(4455) - sqrt(1980)*-1)\/(-2*(sqrt(11) + sqrt(132)\/sqrt(3))).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 18*a + 2320. Let r(c) = c**2. What is r(v(h))?\nAnswer: 324*h**2 + 83520*h + 5382400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -12678.9?\nAnswer: 3803.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189659850 + 189673438 = 172*s for s.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963328 is divided by 3948.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 4500.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40649?\nAnswer: 7, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 374121445, 748242891, 1122364337, 1496485783, 1870607229, 2244728675?\n\"Answer: 374121446*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away 5.6567621?\nAnswer: 0.3432379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.159 and 5.79?\nAnswer: 110.93061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 + 3*i**2 + 6. Let z be 1*(4\/2 - -3). Suppose 0 = 3*v + 19 - 10. Let h(s) = -4*s**3 + 5*s**2 + 11. Calculate v*h(b) + z*d(b).\nAnswer: 2*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -180050442 divided by -4616678?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*v**2 + 47*v**2 - 29*v**2.\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) -94 (c) -1 (d) 4\/13 (e) 0 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/57, -5, -9\/4 in decreasing order.\nAnswer: -2\/57, -9\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1871d2 (base 14) in base 6?\nAnswer: 30311232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (22 + -21)*2\/(-4 + 0)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 9*i - 15. Let r be d(12). Let f = 257\/5 + r. What is the nearest to -1 in 0.3, 4, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -0.1, 1, 306?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 10*d**2 - 2*d + 11. List the prime factors of g(6).\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -24*v**3 - 12*v**2 + 4*v. Let o(x) = 23*x**3 + 13*x**2 - 4*x. Suppose 0 = -5*s - 7 - 13. Let h(i) = s*o(i) - 3*l(i). Factor h(q).\nAnswer: -4*q*(q + 1)*(5*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*l + 0 + 1\/4*l**4 + 5\/4*l**2 - l**3.\nAnswer: l*(l - 2)*(l - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 14*b**2 - 63*b - 197. Determine c(-8).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 127 and 7747.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -0.1, 40238 in increasing order.\nAnswer: -0.1, 37, 40238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -397 + 400. Solve 2*j + 15 - 5 = l*b, -5*j + 1 = -b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsvzzzsszs. Give prob of picking 4 z.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 174*t - 26694 = -179*t, -2*i + 4*t = -13308. Is i a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*5*(-2 + (2*(-1 + sqrt(80)) + -2)*1 + 4))**2.\nAnswer: -28320*sqrt(5) + 291481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2. Suppose 12 + 28 = 5*x. Let q(z) = 4*z**2 - 23*z**2 + 33*z**2. Let h(f) = 9*f**2. Let i(k) = x*h(k) - 5*q(k). Give i(g(m)).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -179, -362, -543, -722, -899?\n\"Answer: c**2 - 186*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - 2*j**3 + 0*j + (4*j + j - 3*j)*(-j**2 - 3*j**2 + 2*j**2) - j + j**3 + j + 0*j**3 - 5*j**3 + 4*j**3 - 6*j + 0*j - 5*j**3 + 2*j**3.\nAnswer: -9*j**3 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - -3.08. Let t = 639\/2 - 320. Which is the closest to 1\/2? (a) -0.3 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-450)*55\/(-44)*6\/(-1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-15))\/(-5 + 4). Let w = 4 + -16. Let v = w + 7. Which is the smallest value? (a) u (b) v (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (2 - 0 - 7) - (-2 - -9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 4*r + 9. Let n be y(-6). Let b(k) = 288888*k**2 - 3*k - 1. Let x be b(n). What is x rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 9. Suppose 2*w - 25 = 7*w. Let f be r(w). Suppose -4*g + 12 = -3*g - 3*l, f*g + 3*l - 123 = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k - 13*k + 7*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69026.96ng to micrograms.\nAnswer: 69.02696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/31)*c)**(-18\/13))**(-3\/4) assuming c is positive.\nAnswer: c**(810\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 6:58 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-6673)\/7 - 1. Let o = n - -959. Let u(l) = l**3 - 5*l**2 + 6*l + 2. Let p be u(3). Is o smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - h + h**3 + (5*h**2 - 4*h**2 + 0*h**2)*(4*h - 2*h - h) + (-2*h + 2 - 2)*(h**2 - 3 + 3) + 5*h**2 - h**3 - 5*h**2 - 4*h**3 + h**3 - h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 15*b**2 + 198215*b - 925330 = 0.\nAnswer: -13219, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5\/3, -0.5, 0.5, 19.\nAnswer: -5\/3, -0.5, 0.5, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 98. What is the closest to -3\/2 in -5, 3\/2, w?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6732 and 34782.\nAnswer: 208692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((2 - 5) + (-1 - -3)). Suppose 3*z - 71 = -4*m, 2*z = -5*m + 6*z + 81. What is the smallest common multiple of m and j\/((-2)\/18)*(-18 + 19)?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 + 10*d**2 - 21*d - 53. Let i be (17\/1 - 20)*2. Determine p(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 9 + 6 = 0. Let x be (-46)\/(-8) - n\/12. Let r = 3 + 6. Solve -r - x = -5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2 = -2*g + n, 0 = -3*g - 4*n + 25. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3116*p + 2077*p + 1040*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/60 + b**4\/4 - b**3\/6 + 4*b**2 - 2*b. What is j(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 19748690*i + 19748690*i. Let b(o) = 2*o - 146. Determine q(b(v)).\nAnswer: 8*v**2 - 1168*v + 42632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 35*z - 27 - 21 = 38*z, -114*i = 13*i + 18*z + 143 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 3 - 6 - 5 - 134*j - 3.\nAnswer: -134*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**2 + 1. Let d(s) = -377*s**2 - 15*s. Calculate d(x(g)).\nAnswer: -9425*g**4 + 3845*g**2 - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5, 0, 5, 10, 15?\n\"Answer: 5*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3079*m**2 + 767*m**2 - 14*m + 774*m**2 + 777*m**2 + 14*m + 770*m**2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19830f (base 16) to base 9.\nAnswer: 3127433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800))**2 + (4 + sqrt(2) + sqrt(32))**2.\nAnswer: 40*sqrt(2) + 866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -205.7?\nAnswer: -205.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*w*z**4 - 2*w*z**2 - 2*w + z + 4 wrt z?\nAnswer: -324*w*z**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 858.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -14243\/1490 greater than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m. Let n(s) = 206*s - 206*s - 8*s**2. Determine n(r(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4511 - 1536531?\nAnswer: -1543242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, 4, 0, -2, 8, -32 in increasing order.\nAnswer: -32, -5, -2, 0, 4, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 12:01 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 11*c**2 - 23*c + 12. What is l(4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -245.62*-2377\nAnswer: 583838.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*438725.\nAnswer: -131617.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5\/30 + 4*n**2. Let q(f) = 22*f + 4 - 2*f - 28. Let a(s) = s - 1. Let r(p) = 24*a(p) - q(p). Give w(r(g)).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(110\/10)\/44?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 36*y**2 - 9*y + 11. Let s be u(1). Let p(b) = -37*b - 1 + s*b - 4. Let w = 2 - 2. What is p(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177b2 (base 16) in base 5?\nAnswer: -11034203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 8*n**2 + 17*n - 130. Let a be q(8). Solve 3*i + a = -3*x - 0, 0 = 5*i + 2*x + 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**5\/30 - 5*s**2. Let p(v) = 7*v. Let u(q) = q. Let r(y) = -p(y) + 6*u(y). Calculate r(a(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 + -87. Put i, -0.3, 2, 1\/3 in increasing order.\nAnswer: i, -0.3, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 11. Suppose -4 = p*y + 2*o, 2*y = -2*y + 5*o - 8. Let r(n) = n - 1. Let d(t) = 2*t**3 + 3*t**2 - 4*t + 4. Let j(q) = -d(q) - 5*r(q). Give j(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3 - 11. Let s(v) = k + 5*v - 3 + 1 - 4. Determine s(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2573.3 and 0.3.\nAnswer: 2573.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -20*s - 61. Let f be y(-23). Suppose 28*x - 7*x = f. Let c be 1\/(-2)*2*-1. Solve -4*h + x = -c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + 1 - 2)*(-2496 + 2496 - 2616*i)*(-4*i**2 + 0*i**2 + 3*i**2).\nAnswer: -5232*i**4 - 2616*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77126*l**4 + 14*l**3 - 3*l**2 - 131*l - 30259 wrt l?\nAnswer: 1851024*l + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p - 39. Let t be f(6). Let o(c) = -5*c + 15. Let j be o(t). Which is bigger: j or -83?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116\/104 + -4)\/(42\/112) - -8.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 1820*w + 165620.\nAnswer: 5*(w - 182)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -169, 25, -5, 0.\nAnswer: -169, -5, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14016489 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: Calculate -1 divided by -34930.\nAnswer: 1\/34930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*n - 2*n + 115, 9 = -3*n. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -1607?\nAnswer: 160c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 5*s**2 - 4*s. Let z be r(4). Which is the second biggest value? (a) z (b) -3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 56*k + 2*k - 34 + 25*k.\nAnswer: -29*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 4:54 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*v = -144*v + 24656965. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 19*g - 1. Let d be r(-1). Let c be d\/(-30)*6\/(-4). Let k be 4 - 3 - (-17)\/c. Which is smaller: -14 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, x: 4, v: 3, s: 1, f: 6, n: 3}. What is prob of sequence ffux?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrpp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/4)\/(2574\/(-104)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14991 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (9 - 1) - (-32 + 12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 1, y: 4, s: 2}. What is prob of picking 1 w and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18670 + 49613. What are the prime factors of w?\nAnswer: 11, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2048 and 61888?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z + 50. What is b(-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 228.\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 101672304.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4588 + -4569. Solve 5*n = 6 + f, 3*p = n + 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + 3*m**4 - 6*m**4)*(-4*m - m + 0*m) - m**5 - 4*m**5 - m**5.\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1979080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106464 and 576.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.5682 to 1 dp.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3176095 and 11790.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(g**5 + 2*g**5 - 2*g**5) + (-2*g**3 + 43*g - 43*g)*(-2 + 2*g**2 + 2).\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 4*m**2 + 3*m**2 + 1884 - 1869.\nAnswer: 2*m**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {v: 3, f: 4, z: 6, c: 3, o: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 205 (base 13) to base 2\nAnswer: 101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 5 - -12) + -13 + -3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -142 - -5?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 + 2 - 1) - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from tfnlnlfllflyllfxf.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43831 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/15)\/(1*(-3)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100*y**2 - y**2 + 122*y**2)*(6*y - 3*y + 4*y).\nAnswer: 1547*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1163, -4607, -10339, -18353, -28643?\nAnswer: -41203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q + q - 3*q + 1 - q. Suppose -3*v + 2*l + 11 = 0, -l = -7*v + 3*v + 8. What is a(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*r - 13. Let s(b) = b**3 - 8*b**2 - 9*b + 5. Let d be s(r). Suppose 2*g = d*g - 6. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.30444 - -0.5.\nAnswer: 0.80444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + 3 - -118) + -3. Let h = -94 + q. What is the greatest common divisor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 4.28 in descending order.\nAnswer: 4.28, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31430 (base 16) to base 4.\nAnswer: -301100300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*l - 83, -2*g + l + 1 = -37. Let s(p) = -2*p**3 + 3*p**2 + 2*p. Calculate the smallest common multiple of s(-2) and (-172)\/(-14) + (-6)\/g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k = -37*k - 348 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**3 + 60*r**2 - 123*r + 3865. Determine q, given that s(q) = 0.\nAnswer: -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 5079854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 186 = 4*y. What is the remainder when y is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 558*u**2 + 6*u + 54. Let w(x) = -1115*x**2 - 13*x - 117. Calculate 13*t(y) + 6*w(y).\nAnswer: 564*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 69 (b) -0.3 (c) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q**3 + 6*q**2 - 5. Let i(w) = -13*w**3 + 13*w**2 - 11. Let d be -1 - 0 - (-3 - 2). Determine d*i(l) - 9*n(l).\nAnswer: 2*l**3 - 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 11 and -137 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -2*q**2 + 11*q**3 - q**6 + 2*q**6 - 4 - 11*q**3. What is the second derivative of d(r) wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -25*z - 71. Let m(i) = -53*i - 141. Let l(r) = 4*m(r) - 9*x(r). Let s be l(-6). Let k(v) = 4*v - 3. Let o(q) = 5*q - 2. What is s*o(y) + 2*k(y)?\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/6 - -1)*9\/(-18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + (5 - 11) + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dssd when four letters picked without replacement from {s: 2, d: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32627*b**3 - 98805*b**2.\nAnswer: 195762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lllmlllllmmlmllmlm?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8188854 litres to millilitres.\nAnswer: 818.8854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -698588, -1397176, -2095764, -2794352, -3492940, -4191528?\nAnswer: -4890116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1095*z - 339449. What is c(-310)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - ((-4232)\/(-12))\/(-23)) + (-5 - (3 - -1)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 0.22 (b) 0.06 (c) -3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -186*j - 37. Let p = 45 - 48. Does 14 divide s(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10*j + 8 = -6*j, -4 = 5*o - 2*j. Let h = 6 + -2. Which is the biggest value? (a) o (b) -2\/11 (c) h (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98889 is divided by 369.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 322, 1\/10, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4640 = 3*g - 4*v, 5*v = 4*g - 1056 + 7242. Let x = -850 - g. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y + 1. Let t be i(-1). Solve 2*r + 3*d = -8, -t*r + 3*d = -4*r - 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28130*j*x**4 + 3*j*x + 185*j - 2*x**3 + 11*x**2 wrt x.\nAnswer: 675120*j*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -3 + -3 + sqrt(11) + sqrt(11)*3 + sqrt(11))**2.\nAnswer: -108*sqrt(11) + 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31596, -31613, -31652, -31725, -31844?\n\"Answer: -2*w**3 + w**2 - 6*w - 31589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 12, m: 3}. What is prob of picking 1 k and 3 m?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23376, -23376, -23378, -23382?\nAnswer: -23388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 23 - 75 = 3*a, 3*m - a - 39 = 0. Find the second derivative of 43*p - 18*p**4 + 29*p**4 - m*p**4 - 29*p**2 wrt p.\nAnswer: -24*p**2 - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16588 and 2730?\nAnswer: 1741740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 233411 and 2727?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-349484)\/41*4\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 48 and 56546.\nAnswer: 56594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggfsggjjggfg. What is prob of picking 1 f, 1 j, and 1 g?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 8:56 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*g + 70*g = 1175898. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 + 12*k**3 + 28*k**2 - 60*k - 72.\nAnswer: -4*(k - 3)**2*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 15\/932 (b) 2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20347781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 476 and 1045466.\nAnswer: 14636524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3536372 (base 10) to base 11\nAnswer: -1aa5a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -2. Let y be (-2)\/(-8)*(-1 - -2) + (-41436)\/(-144). Suppose -t + 3*t - 2*j = 144, g*t - 3*j = y. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 17 + 16*b + 7*b)*(25 + 13 + 21) to k + h*b and give k.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 592480 and 2392?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 6*s**2 - 19*s - 5. Let w(f) = f**3 + 5*f**2 - 18*f - 4. Calculate -4*m(l) + 5*w(l).\nAnswer: l**3 + l**2 - 14*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 g when three letters picked without replacement from agpwwgw?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.2 (b) -1\/16 (c) -1\/2 (d) 215\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 16*n**2 + 22*n - 92. What is the tens digit of p(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 146 + -3. Let d = 3113 - s. What is d rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10755 = 3*z - 0*z, y + 10739 = 3*z. What is z rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6195505.\nAnswer: 5, 31, 39971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.93 and -0.0652.\nAnswer: -0.060636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c + 42. Let u be d(-16). Let b(x) = -5*x**3 + 8*x**2 + 6. Let m(y) = 4*y**3 - 7*y**2 - 5. Let r(k) = u*m(k) - 5*b(k). Factor r(j).\nAnswer: j**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/3*37*1. Suppose -v = -4*n + 195. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2146, -4295, -6444, -8593, -10742, -12891?\n\"Answer: -2149*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4856.93 take away -206131960?\nAnswer: 206127103.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -61, 4\/5, 0, -0.9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3) - (sqrt(3) + -3)**2) - 4*(-2*sqrt(3) - sqrt(3)).\nAnswer: -30*sqrt(3) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -287882525 by -57576505.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*s = 33, -5*n = 5*s - 0*s - 15. Let a(l) = -49*l + 383*l + 7 - 329*l - l**2. Give a(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d - 1. Let n(r) = 152*r - 32. Let l(z) = -32*g(z) + n(z). Let a(v) = 2*v - 6*v + v - 5*v. What is l(a(x))?\nAnswer: 64*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 6:10 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3661805530 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.2\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcjccccjccjjc. Give prob of sequence cjc.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 13*v = 28. Calculate the common denominator of 46\/21 and (v\/427)\/(18\/(-96)).\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(408)\/(sqrt(8) + sqrt(24)\/sqrt(3)*-5))\/(2*sqrt(192) - sqrt(48)*-2).\nAnswer: -sqrt(17)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100100010101111 - -10?\nAnswer: 10100100010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2220320 - 2?\nAnswer: 2220312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*v + 4*s - 7846 = 266*v, 3*v - 5*s - 7783 = 0. What are the prime factors of v?\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -160\/11841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1082 = 6*r, -362 = 60*r - 62*r - u. Calculate the highest common factor of r and 1395.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -2)\/6 - -35. Suppose -9*x + 70 = -8*x. What is the greatest common divisor of t and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11.2 (b) 0.1 (c) -107 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.46 - -18.54. Let b = -18 + i. Sort b, -5\/4, -2\/5, 3\/5 in increasing order.\nAnswer: -5\/4, -2\/5, 3\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5}. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60572892 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + 61. Calculate the greatest common factor of i and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030264 rounded to six decimal places?\nAnswer: 0.000303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 19 = -9. Let s = 52 + x. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -12893?\nAnswer: 51572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-990)\/(-150) - 322\/45\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33355 is divided by 2083?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2930 - 5298 = -17*a. Let q = a + -256. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*n - 14 = 2*n, -5*n + 6 = -2*o. What is the biggest value in o, 5, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 15 = 90. What is the first derivative of 0*n**3 - 3*n**3 - 11 - d wrt n?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*2)\/sqrt(5) + sqrt(13) + sqrt(91)\/(sqrt(35)\/sqrt(5)))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3433 + 3432.970042. Let o = v + 0.03. What is o rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 17*y - 65. Let w be u(-9). Solve -w + 2 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -124, -171, -240?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/40664649 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/20 and 35\/294062?\nAnswer: 2940620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (1 - 2)) + 8. Let j(z) = z**3 - 7*z**2 + z - 4. Let a be j(r). Suppose -a*w - 3*f + 78 = 0, 0 = -f - 1 - 2. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bun when three letters picked without replacement from {n: 2, u: 1, l: 1, b: 1, k: 2, r: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 810418223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-44)\/33*(-3)\/2. Suppose 0 = t - 3, -l*q - 5*t = -7*q + 10. Put q, 3, 1 in descending order.\nAnswer: q, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559156 is divided by 867.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 greater than or equal to 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -892251, -892250, -892249?\nAnswer: -892248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.71 + 35. Let g = 0.16 - -0.04. Let j = g - v. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by (-1)\/(5\/(-3)) - 567\/(-105)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -183 + 184. Which is the nearest to s? (a) 0.2 (b) 0 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/24 - -5\/8. Let j = 691 + -4133\/6. Let g = j - 41\/30. Sort n, 3\/2, g in descending order.\nAnswer: 3\/2, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250604195 rounded to the nearest one million?\nAnswer: 251000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1640234*m**4 + 253362*m - 3.\nAnswer: 19682808*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1380668356?\nAnswer: 2, 3257, 105977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -17757*d + 1716*d - 6146*d - 8707*d as a + q*d and give q.\nAnswer: -30894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-6)*4\/((-96)\/(-5364)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25631.39km?\nAnswer: 2563139000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**3\/6 + 23*v**2 - 2*v - 648. Let u(y) = 4 + 4 + 1. Give -2*s(a) + 11*u(a).\nAnswer: 2*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 738.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 835647761?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 0 - 1)*(3 - 3 - c**3 - 4*c**2 - 2*c**3 + 4*c**2 + (3*c + 2*c - 3*c)*(0 - 2*c**2 + 0) + 5 - 5 + c**3) + (-c**3 - c**3 + 0*c**3)*(4 + 0 - 3).\nAnswer: -86*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71 and 1349?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 9*p**6\/40 - p**4\/4 - 46*p**2. What is the second derivative of k(t) wrt t?\nAnswer: 162*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3 = 23. What is the greatest common factor of o and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 672*f - 669*f + 3, 4*t - 977 = 5*f. What is the remainder when 598 is divided by t?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 8*l - 27. Let z be b(-4). Put -3, z, -5 in increasing order.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 + 54. Suppose -5*j + 4 + t = 0. Let k = -56\/495 + -6\/55. Which is the third biggest value? (a) 4 (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*m - 1848 = 288*m. Calculate the greatest common factor of 984 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*j**2 - 47527*j + 189788.\nAnswer: (j - 4)*(20*j - 47447)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -657 - -671. What is the greatest common divisor of 252 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = -55*k - 4*o + 595, -4*k + 2*o + 57 = 9 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/42 - 7)\/((-180)\/35 + 5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-64)\/3*1938\/(-4). Let w be ((-619953)\/(-9) + -4)\/(40\/6). Let g = z - w. Find the common denominator of g and -11\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 - -78. Which is smaller: g or -10\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 9707133336?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - 5*sqrt(176)*-2) + (sqrt(176) + 2 + 2)**2 + sqrt(176).\nAnswer: 192 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -42*b**2 + 20*b**2 + 24*b**2 - 31. Let o(x) = -27*x. Give c(o(v)).\nAnswer: -108*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439989 less than -0.4?\nAnswer: -1439989.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 45 = c. Suppose 4*u = 4*o + 46000012, c*o + 3*u = -47363228 - 10136763. What is o rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2433 is divided by 811.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 6:23 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-12)*m\/m**9*m assuming m is positive.\nAnswer: m**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4 (b) -7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -101102313 (base 4) to base 7\nAnswer: -413346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.206 and -168805?\nAnswer: -34773.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2345525031?\nAnswer: 3, 781841677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 12*q**5 - 904*q**4 + 5740*q**3 + 17120*q**2 - 35472*q - 29376 = 0.\nAnswer: -3, -2\/3, 2, 9, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyynyyyn. Give prob of picking 1 n and 1 y.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 131885?\nAnswer: -131880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 947*r**2*w**2 - 1421*r**2 - 2*r*w**2 with respect to w.\nAnswer: 1894*r**2*w - 4*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/56*210\/(-3). Solve s = 20*t + 95 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k**2*k)\/k))**(-14))**(-1\/20) assuming k is positive.\nAnswer: k**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -719\/20 + 147\/4. Factor 0 + i*y**3 - 2*y**2 - 6\/5*y.\nAnswer: 2*y*(y - 3)*(2*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -36, -61, -90, -123, -160?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.257 - -0.043. Let f = -11.299764 + i. What is f rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4411*c - 92737 - 21949 = 0 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.467911327 rounded to 2 decimal places?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 38 - 97. Let z = j + 74. List the prime factors of z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -447437.4562 rounded to the nearest one hundred?\nAnswer: -447400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 180655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkzzgdzgkkzkkgkkgggl. What is prob of sequence gg?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/56 + (-612)\/714?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 75 - 21. What is the remainder when 102 is divided by (-36)\/a*104\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 68 + 38. Calculate the smallest common multiple of 132 and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1452\/11 + -11 + 0 + -1. Let b = 125 - a. Calculate the remainder when b is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 7:24 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1 - 4 - 2 - 2*r - 1. Let d be n(-6). Solve -4*g + 2 = -d*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Suppose -3*o + 56 = 5*g, 5*g + o + o = 54. Let x be (-2)\/4 - (-65)\/g. Calculate the highest common divisor of p and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 70\/(-56)*(-7 - -3). Let i be n + (1 - -1237)\/((-2)\/74895). What is i rounded to the nearest one million?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -16.647, -1, -1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -45240, -44951, -44404, -43593, -42512, -41155?\n\"Answer: p**3 + 123*p**2 - 87*p - 45277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 109, 111, 113, 115, 117?\n\"Answer: 2*q + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 35. Let c(m) = -2*m**2 - 16*m + 7. Let z be c(l). Suppose 3 - 1 - 13*x**3 - 10*x**3 + 3*x**2 + 24*x**2 + z*x**4 - 13*x = 0. What is x?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90880 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 2)*3*28\/(-210). Solve 5*x = 2*c + l*x - 10, -x = 4*c - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-121)*1 + -3*(-370)\/55?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 5*u**2 - 16*u + 13. List the prime factors of p(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 3*b**2 + 2*b + 2. Suppose 5*f - 2*x - 15 = 0, 2*f + 2*x - 5 - 1 = 0. Let z(v) = 3*v - 1. What is the lowest common multiple of p(f) and z(4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22697867?\nAnswer: 151, 191, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15033\/8096 - 5\/736. Let y = -694\/3 + 6739\/30. Find the common denominator of f and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 1\/4 (b) -0.1 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 399 - 399 - 2032*u + 5*u + u - 4*u - u - 3*u + 6*u + 0*u + u + 0*u + (5 - 2 - 1)*(2*u + 1 - 1) as w*u + r and give w.\nAnswer: -2023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -15*t + 16*t. Which is greater: t or -19\/12?\nAnswer: -19\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z - 1. Let k be g(1). Let u be 4\/k*-3 - 1. Suppose -4*l**2 - 2*l**2 - 4*l**2 - u + 7*l**2 + l**3 + 3*l = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -449*z**5 + 4*z**2 + 7*z wrt z?\nAnswer: -26940*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 85122.\nAnswer: 7\/85122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(2 + -1) + (-11424)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3660 + 108*o - 3660)*(2 + 1 - 1) as d + l*o and give l.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/5, -1\/33, 1?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*t - 112 + 0 = 5*n + 77, 4*n = -t + n - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -190 + 191. Let i(f) = -10*f. Let m(y) = 5*y. Let o(h) = 6*i(h) + 11*m(h). Determine o(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111 - 34 - (-3 + 10 + -8 + (16 - 11)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 6:06 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 276.6579018 rounded to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 341878201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**4 + 7190*b**3 - 496655*b**2 - 503840*b = 0.\nAnswer: -1504, -1, 0, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 5*h**2 - 7*h - 2. Let d be t(-6). Let b(w) = -17*w**2 - 5*w + 5*w**3 - d*w**3 - 6 + 27*w**2 - 14*w**2. Determine b(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*o + 74*o + 39 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 0, -2*u - 2*o + 22 = -0*o. Let r = u - 10. Let m be (6 - 1)\/(2*(-4)\/8). Sort -2, r, m in ascending order.\nAnswer: m, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 - 126. Let f = 32 + 21. Let o = w + f. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -4. Let f be (k + -3)*7\/(-2). Let t = f + -12. Which is the closest to -2\/5? (a) 2\/5 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evg when three letters picked without replacement from {v: 3, g: 3, e: 1, o: 4, i: 6, u: 2}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4) - (-15)\/30. Let o be (y\/(-4))\/(1\/(-34)). Solve o*j = 21*j - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10300 = -26*p + p. Let j = p - 411. Solve 7 = -2*r + j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 4*x + 28. Let l(j) = x*j**3 - 2*j**2 - j - 1 - 4 - 6*j**3 + 2. What is l(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + j)*(-j**3 + 0*j**3 + 3*j**3) - 184*j + 184*j - 5*j**4 + (1 - 1 - 3*j**2)*(1 - 1 + j**2) to t*j**3 + h*j**2 + r*j**4 + g + i*j and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 70 - 25. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 116753715, 116753716, 116753717, 116753718?\n\"Answer: i + 116753714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 equal to -772545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13629 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: Suppose -8*b - 312 = 31*b. Let m(y) = -1234*y**3 - y**2 + 13*y - 40. Let o be m(b). What is o rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 - l - 10*l**3 + 3 - 2. Let t(n) = -n**3 + 4*n**2 - 2*n + 6. Let j be t(4). Is z(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3878323, -7756634, -11634931, -15513208, -19391459, -23269678, -27147859?\n\"Answer: g**3 + g**2 - 3878321*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 134230, 5, 0, -4 in decreasing order.\nAnswer: 134230, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 526, 527, 528, 529, 530, 531?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from {j: 1, e: 1, s: 1, y: 1, o: 2, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 19227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32100 and 1322520.\nAnswer: 6612600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 3*o**2)*(2*o + 1 - 4*o + o)*(2680 + 3620 - 4817) as c*o**3 + m*o + s*o**2 + t and give c.\nAnswer: 4449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*q - 258*q - 14040 = 0 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 + 111 = 10*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7767 + -1844470?\nAnswer: -1836703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55695 divided by -11139?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -24006?\nAnswer: 24008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**5 - 6*v**5 + v**5)*(-4 + 5 - 8).\nAnswer: 28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*d**4 - 2*d**4 - 2*d**4 + (2*d**2 - 2*d**2 + d**2)*(-5*d + 5*d + d**2).\nAnswer: 22*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46\/7 + 7. Suppose 18 = -4*a + y + y, -3*a = 5*y + 46. Let j be 2\/a + (-12)\/(-42). Is j at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 129780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 3715 - 3715.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1352858709 to the nearest integer?\nAnswer: 36781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2986194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooy. Give prob of sequence ooy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 7:45 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.406 - -2.606. What is the second smallest value in 0, n, -5, -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/12 and -49\/362616.\nAnswer: 362616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 582*k + 8777 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14.53363 times 34\nAnswer: 494.14342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 72 = -4*p, 7852*i - 7852*i + 5*p = 65 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y - 6. Let i(f) = 8*f + 6. Let u(p) = 6*i(p) + 7*t(p). Is 2 a factor of u(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 2*y - 19 + 51.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3 - 1764*t**2 - 3537*t - 1770 = 0.\nAnswer: -1, 590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -178 - -103. Let l = -75 - j. Solve l*h - 2 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2963*p**2*t - 98*p*t + 16*t wrt p?\nAnswer: 5926*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1345, -1335, -1325, -1315, -1305, -1295?\nAnswer: -1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9776\/(-940))\/((12\/75)\/((-4)\/10)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5bc8059 - -10?\nAnswer: 5bc8069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102*k + 90.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6925, -3, -2 in descending order.\nAnswer: -2, -3, -6925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 8. Let f be (-126)\/(-24) - 3\/(-4). Let y be d(f). Solve -3*a - 12 = a, 11 = -y*s - a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1513542951, -1513542950, -1513542949, -1513542948, -1513542947?\n\"Answer: j - 1513542952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 0*h + 0 + 0*h**3 + 9\/5*h**5 + 12\/5*h**2 - 21\/5*h**4 = 0.\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 + -69956?\nAnswer: -70057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y**2 - y**2 - y**2 + (y**2 - 2*y**2 + 0*y**2)*(4 + 18 - 6) to i + q*y + u*y**2 and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 20*z**2 + 46*z + 28.\nAnswer: 2*(z + 1)*(z + 2)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 170*k**2 - 2198*k - 15. What is the least common multiple of 285 and g(16)?\nAnswer: 8265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -58. Solve 15 = x*s + 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -2671?\nAnswer: 2672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**4\/5 + 2*g**3\/5 + 13*g**2\/5 - 38*g\/5 + 24\/5 = 0.\nAnswer: -4, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**2 + 256*i - 3348. What is k(16)?\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + ((-183700)\/816)\/25. What is the biggest value in -1\/4, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 5*x + 1. Let m be q(5). Let c = 2 + 0. Solve -m = v - c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Let j be 2\/(-5) + 87\/105. Sort a, j, 1\/5 in ascending order.\nAnswer: 1\/5, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 10*f**2 - f - 3. What is the units digit of k(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1305000 divided by 1740\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 35, 0.2, -2\/27, 3\/2, 0.4?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 5. Let u be y(-5). Suppose -5*f + u*f = -25. Find the third derivative of -8*v**5 + 0*v**2 + 6*v**2 + 4*v**f - v**2 wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 168 + 102 = 0. Calculate the remainder when 105 is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21402936 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4282.858 + -4283. Let d = -5.9 + 5.842. Let u = d - f. What is u rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*i - 630 = 41*i. Put 2, 106, i, 3, -5 in descending order.\nAnswer: 106, 3, 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 155*f - 153*f - 26. Suppose 0 = 5*u + r - 14, -5*u + 3*r + 3 = 5. Solve g - 3*h - 3 = -f, 0 = -4*g - 2*h + u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15629 - 15630. Which is the second biggest value? (a) -5 (b) 5 (c) y (d) 0.5 (e) -9\/80\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16482.\nAnswer: 2, 3, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 16. Let y = g + 19. Let b(h) = 4 - h - h**3 + y*h**3 - 3*h**2 - 2*h - 2*h**3. Give b(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 55. Solve r*z = 10 - 30 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3.08. Let i = w - -0.03. What is i rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5823 + -6216.65. Let t = z + 392. Round t to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.743184t in nanograms?\nAnswer: 743184000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -40*y. Let x be g(-1). Let w = x - 4. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 7:34 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/10 and 13\/168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2187)*-1)\/(sqrt(900)*-4).\nAnswer: 9*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*u + 5*u + 42 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -2)*7\/(35\/45). Let o(q) = 10 - 12*q - 21*q - 2 + g. Is o(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/22 - (-41)\/12628*60. Which is greater: u or 6793?\nAnswer: 6793","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 4:14 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20327, -20328, -20329?\nAnswer: -20330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 8*q**2 + 9. Let i be x(9). Let s be 32\/(-1 + -1)*18\/(-8). Let v be (s\/(-10))\/(-3)*(-3 - -33). What is the greatest common divisor of v and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -11*g + 18. Is i(-9) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2)\/((-7)\/98). What is the first derivative of 18 + 3*w**3 - 7*w + f*w + 0*w wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1824926732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhhhuquuhhqhhuh. Give prob of picking 2 h.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 0*h + 3*h + (-1 + 5 - 2)*(38*h - 31*h - 234*h) - h - h + 3*h in the form g + f*h and give f.\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1723 and 1.97?\nAnswer: -3394.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47873151.\nAnswer: 3, 53, 100363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00884 rounded to four dps?\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 1:31 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.1 - 3.1. Let x = -144\/385 + -2\/77. What is the closest to 0.1 in 1\/5, r, x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284795099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9630 - 8752. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1752 and 1752?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -200040*y**4 - 151*y + 24?\nAnswer: -2400480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.92 - 12. Let w = z - 0.22. What is the third smallest value in 1, -1\/7, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5041, 10112, 15211, 20338, 25493?\nAnswer: 30676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93532815?\nAnswer: 3, 5, 2078507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:13 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5001 is divided by 290?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 2*y + y - 13 + 22. Let d be u(-13). Which is smaller: d or 5\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**5\/20 + 2*n**4\/3 - 5*n**3\/6 - 16*n**2 - 16*n. Let l be g(8). Let w = l + 205. List the prime factors of w.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 10) to base 4.\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 = -0*t. Suppose -t*x = x - 15. Let j = 5 + x. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -36, 5, 214, 2, 979 in ascending order.\nAnswer: -36, -4, 2, 5, 214, 979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.119218 and -0.15.\nAnswer: 0.0178827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/132, 6, 4\/9 in ascending order.\nAnswer: 1\/132, 4\/9, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 1\/13, -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/7*(3 + 589\/(-152))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 2 + 2*c + 2*c.\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15317 + 18761. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-29 + 40)\/(3\/6). Let r(t) = 3*t**2 + 3*t + 5. Let x be r(-5). Let q = b + x. What are the prime factors of q?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15148 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 - 289 = 69*l - 160. Let t be (3\/(-5))\/((-2)\/5). Which is the smallest value? (a) t (b) -2\/17 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 456195.9 weeks?\nAnswer: 4598454672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 15 = -2*a. Solve 0 = a*o - g - 1 + 4, 5*o + 13 = -4*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 - (-129535)\/28. Let d = 4649 - r. What is the common denominator of (1351\/(-280) - -8) + 19\/95 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.5, -83, -5 in increasing order.\nAnswer: -83, -5, -4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -337, -340, -333, -310, -265, -192?\n\"Answer: y**3 - y**2 - 7*y - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13342584 to the power of 1\/2, to the nearest integer?\nAnswer: 3653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x = -5. Which is the closest to 0.3? (a) x (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 9:40 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 14*b**2 - 4*b - 6. Let p be l(5). Let f = p - 224. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 3:51 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(456)\/sqrt(432))\/(sqrt(242)*3) + 0)**2.\nAnswer: 19\/9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-6\/7))\/x**(-5\/8))\/((((x\/x**13)\/x)\/x*x)\/x*x*x*x*x\/(x\/x**(-15)*x)))**(-3\/4) assuming x is positive.\nAnswer: x**(-4953\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 91?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-255)\/1190 - (-5513738)\/28 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560.5247nm in centimeters?\nAnswer: 0.00005605247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*a - 168. Suppose 0 = -9*k + 54 - 279. Calculate the remainder when a is divided by (k\/(-20))\/(10\/120).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12663\/36 - 7) + 2\/8. Suppose 3*v + d = 4*v + 3*s, -2*v + 4*s + 680 = 0. What are the prime factors of v?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*i**4 - 126 + 126)*(0*i - 2*i + i).\nAnswer: -109*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-12) + (0 - 0) + -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*h**4 + 1 - 1 + 54*h - 1308*h**2 + 1304*h**2 wrt h.\nAnswer: 324*h**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -481*f + 436. Let b be p(6). Let j = b + 14651\/6. Find the common denominator of (-185)\/(-124) + (-1)\/4 and j.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 14*f + 4 = 13*f, 4*i + 5*f = 34. Solve 3*z - i = 0, 4*d + d = -2*z + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 - 14*g - 14. Let b(p) = p**3 - 4*p**2 - 3*p - 7. Let u(a) = -a**2 - 1. Let n(i) = -b(i) + 4*u(i). Calculate -3*d(z) - 14*n(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1907462043.\nAnswer: 3, 13219, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 200 + -116. Suppose -7*x - 14 = -z. Suppose -x*a + 430 = -5*a. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, y: 1, m: 5, w: 3}. What is prob of sequence mm?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1802, 1 in increasing order.\nAnswer: 1, 2, 1802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(204) - (-1*(sqrt(204) + -1*sqrt(204)) - sqrt(204))) + sqrt(204)*-1*-6))\/(-2*sqrt(972) + 5*sqrt(84)\/sqrt(7)).\nAnswer: 32*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urwuwhhww. Give prob of sequence hh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -8 + 11 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q - f - 43, 3*q - 2*f + 46 = 0. Let v = -7 - q. Let d = 9 - v. Solve -d*r - 6 + 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562 minutes after 10:12 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1881*j = 2078*j + 4137 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-18)\/(-1))*12\/(-3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 15*x**2 - 27*x - 10. Let w be d(-13). Let a be w\/9 + (455\/(-60))\/13. Suppose -1 - 11 = -2*f. Sort f, 2\/5, a.\nAnswer: a, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m - 1. Let g(v) = -5*v. Let f(u) = -9*u. Let b(k) = 4*f(k) - 7*g(k). Calculate 2*a(i) - 14*b(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*f - 111*f + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/14*(-57)\/4*(-2114)\/2869\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275.0628 grams to tonnes.\nAnswer: 0.0002750628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -4. Let m be r*(-5 - (-3 - 1)). Sort -3, -4, m in increasing order.\nAnswer: m, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1138, 4553, 10244, 18211, 28454, 40973?\nAnswer: 55768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 56, -1, 3926 in descending order.\nAnswer: 3926, 56, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/9194220 and 64\/36485.\nAnswer: 9194220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-592)\/(-1110))\/(6\/45). Solve -21*b = -16*b + 3*s + 20, b - c*s = -4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*j - 200*j**3 - 5 + 40*j + 5 + 26*j.\nAnswer: -200*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 51 = -3*j - 11, -2*j = 2*t - 24. Suppose -j - 7 = -5*z. Suppose 10 = s - 2*l - 18, -3*l = 5*s - 88. Solve s = -5*k, -6*x + 2*x = z*k - 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 14?\nAnswer: 12","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 {j: 19, k: 1}.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) 4 (c) -0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53.9 in -0.2, 5, 0.4, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*w = 128*w + 13684 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -603, -1205, -1807?\n\"Answer: -602*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 236 = 14*b. Let f = b - 66. Sort f, -3, 5, 4.\nAnswer: f, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/106425 and -59\/10429650.\nAnswer: 10429650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*((0 - 2) + 0). Suppose 17 = 5*i - t. Solve 16 = a - i*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 + 27*r - 74*r + 19*r - 5*r**2 + 111 + 29*r as p*r**2 + c + v*r and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(192) + -1)*-3 + -2 + sqrt(192)*2 + 2 + (-4 + -1*sqrt(192) - ((sqrt(192) - sqrt(192)*1) + -2)))**2.\nAnswer: 32*sqrt(3) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + 0*l + 0*l)*(-59 + 90 + 70)*(l**2 + 0*l + 0*l).\nAnswer: 202*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 13*t - 63. Let j be n(18). Let y be -6*3\/j - 46\/(-6). Solve y*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 460836\/6955 - -108\/535. Let m = f - 14071\/208. Find the common denominator of -3\/4 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 55 = 7*b, 1503*b + 3*i - 13 = 1504*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, d: 6, z: 2, l: 1, k: 1, g: 1}. Give prob of sequence ddck.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 49. Calculate the greatest common divisor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.17 + 2.9. Let t = -0.26999726 - w. Round t to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 + -80. Calculate the least common multiple of 28 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.6 - -0.6. Let s = 0 + 1. Let n = 4.5 + -4.3. Which is the nearest to s? (a) d (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 8. Let b be g(-6). Let p(u) = 0*u**2 - b*u**2 + u**2. Let n(h) = 4*h. Let l(x) = 15*x. Let y(v) = -6*l(v) + 22*n(v). Calculate y(p(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/2)\/((-144)\/(-32)). Factor -c*n - 5\/3*n**2 + 1.\nAnswer: -(n + 1)*(5*n - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -1. Let s(m) = -m**2 + 3*m + 4. Let g be s(h). Suppose l - 28*k + 23*k - 39 = 0, 3*l + 3*k = 63. Solve 0 = -4*d - 14 - 2, 2*d = -g*x - l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -32 + (1419 - 1334)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160 - 289. Let x = d + 133. What is the highest common divisor of 44 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -123, -3 in descending order.\nAnswer: 1, -3, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 40*g = 41*g + 24, 3*g = -12. Solve -52 = -f*a - 32 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 11:16 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9) - 8\/(-6). Solve 15 = j*w + 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + n + 102, 5*a - 72 = -2*n + 49. Let w = 4 - 4. Suppose w = -5*v + a, 5*v - v = -c + 32. Calculate the greatest common factor of 30 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 - 4*t**2 - 6*t + 5. Let j(q) = q - 1. Let u(y) = 3*y**3 + 5*y**2 + 4*y - 3. Let i(d) = -3*j(d) - u(d). Calculate 4*i(l) - 5*z(l).\nAnswer: -2*l**3 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11010 + 2?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 3:40 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 1, d: 2, f: 1, t: 1, c: 1}. Give prob of sequence tc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6) - 320\/(-48). Suppose -5*p + 18 = 4*y, 2*y + m = -2*p + 7*y. Find n, given that 0 - 12\/5*n**p - 3\/5*n = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + a - 6. Does 26 divide k(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -33. Let m(g) = -9*g - 2. Let q be m(a). Let t(w) = 4*w - q*w - 4*w - w**2. Give t(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 4) in base 7?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 + 2)*(0*h**2 - 5*h**2 - h**2) to s + t*h + l*h**2 and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 51\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(7\/11)\/(n**(-2\/7)*n**3)*((n\/((((n*n**(-1))\/n)\/n)\/n))**(-1\/9))**(-7) assuming n is positive.\nAnswer: n**(716\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**4\/24 - 5*i**3\/6 - 622*i**2 + i + 2. Let t(o) = -o + 10. Determine 7*r(g) + 4*t(g).\nAnswer: 3*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100 - -1230?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12161.12 hours in seconds?\nAnswer: 43780032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00326 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + -2)*1\/(-2). Suppose 5*w + 3 = -c*j, -w + 4*j - 10 = -3*w. Let y = w + 24. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37 and -5.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -58044806, -58044802, -58044788, -58044758, -58044706, -58044626, -58044512?\n\"Answer: z**3 - z**2 - 58044806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(((q*q*q**(-7))\/q)\/q*q)\/q)\/q)\/q*q*q*q\/q**(-5)*q**(-3\/2)*q**(-6) assuming q is positive.\nAnswer: q**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -61*a - 8186. Give o(-134).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -277.106 and 1?\nAnswer: -277.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 7) to base 15.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 699261391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430155 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-88)\/(-72) + (0 - (-2)\/5) and ((-37)\/25 - -1)\/((-2470)\/(-475))?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*i**2 - 6*i**2 - 18*i**2)*(-3*i**2 + 193*i**2 - 59*i**2).\nAnswer: -4978*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -130906, -261810, -392714, -523618?\n\"Answer: -130904*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3014*y**2 + 1006*y**2 + 1007*y**2 + 1004*y**2 - 10*y - 27. Give m(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 5*l**2 - 15*l + 79. Let n be g(4). Find w such that -3261*w**4 + 243*w**2 + 102*w**n + w**5 + 3286*w**4 - 1458*w + 87*w**3 = 0.\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + n = 2, -46 = -3*i - 21*n + 17*n. Suppose 0 + 9\/4*t + 3\/4*t**i = 0. Calculate t.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7)*p**3)\/(p*p**3)**16 assuming p is positive.\nAnswer: p**(-425\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/7)*a)\/((a\/(a*a\/(a\/(a\/a**(-6)*a))))\/a))\/(a**(1\/31)\/a**(-12\/11)) assuming a is positive.\nAnswer: a**(19825\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3, p = 5*p + 5*m + 17. Let s(u) = -u - 6. Let l be s(p). Let f = -19230 - -19225. Put -3, f, l, 1 in decreasing order.\nAnswer: l, 1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437.\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2540 + 8460?\nAnswer: 5820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-4) - -1*3. Suppose u + 0*u = m. Calculate the remainder when ((-3)\/3)\/(2\/(-14)) is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 8. Let k be (-2)\/7 + 5\/(-7). Let o be (1 + k)\/(-2 + 1). What is the units digit of x(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.04? (a) -1\/8 (b) 3 (c) -8\/3 (d) -6\/5 (e) 2\/17 (f) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 + -1 - (-6 + 6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p - 144 = 94 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 988255795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 6*g**2 - 3*g - 2. Let c be m(-5). Suppose 57 = z + 2*z. Let i = z + c. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/3750 and 41\/8125.\nAnswer: 48750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 34923.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 1 (c) -3\/3742\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3789 - 2371. List the prime factors of k.\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -360, -1566, -3612, -6504, -10248, -14850?\nAnswer: -20316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/9 + -46\/63. Let p = -0.93 + 0.9. Let g = -1.97 + p. What is the nearest to 0.2 in 0.5, g, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-91*(4390\/490 - 9))\/(2\/3). Put -5, 2, z in decreasing order.\nAnswer: z, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t - 24*t - 6*t + 3040 = 0. What is the remainder when 580 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5\/2, 0.06, 296?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 514 and 5140?\nAnswer: 5140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -48\/5 and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/340 and 99\/10916720.\nAnswer: 10916720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 540 = -8*j. Let s = j + -105. Suppose 1659 = 5*z - 5*x + 484, 2*x = s*z - 703. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99217 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 1:23 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156571.6ml to litres.\nAnswer: 156.5716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(sqrt(16)\/sqrt(4)) + 2*sqrt(105)\/sqrt(5))*3)\/((sqrt(30) + (2*sqrt(210) - sqrt(210))\/sqrt(7))\/(sqrt(10) + sqrt(40)\/(sqrt(16)\/sqrt(4)))).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 11 = 13. Suppose 0*q + 3*q = 0. Suppose t + 0*t - 1 = q. Calculate the smallest common multiple of a and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*w + 5*w - 6395 = 0, 4*f - 3*w = 25672. Suppose -2*t = 3*t - f. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l + 5*l + l - 3*l to d + f*l and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*(4\/(-4))\/(((-1)\/(-6))\/((-104)\/(-468))).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 176943*n**2 + 353877*n + 176937.\nAnswer: 3*(n + 1)**2*(n + 58979)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/(1*(-2)\/(-6)). Suppose 0 = -f + c*f - 126. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 20 = -4*x. Let k = 241 + -242. What is the tens digit of k\/2 - (-130)\/x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4836)\/775)\/52*1\/((-2)\/5).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, -0.02, -0.0636, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1741, 1732, 1723, 1714?\nAnswer: 1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + 20*l + 7. Let g be v(-8). Let m = -62 + g. Does 26 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 12:49 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6)*x*x**(2\/23))\/(x*x**(4\/5))**(-35))**(-1\/5) assuming x is positive.\nAnswer: x**(-1336\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(704) + -3 + -2)*5 + 0 + (sqrt(704)*-1 - sqrt(704))*4*5)**2*2.\nAnswer: 22400*sqrt(11) + 1725600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -12*m - 19. Let x be d(-2). Suppose -16439 = -4*f + 5*b, 3*f - 6*f = -x*b - 12328. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1048065*f**5 + f - 18771 wrt f?\nAnswer: -20961300*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-389)\/22562). Solve 4*w = -t + 17, 0 = 3*t + f - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -3*k + 5*v, -5*k - 2244 + 2241 = 21*v for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**2\/7 - 208938*b\/7 + 208932\/7.\nAnswer: 6*(b - 34822)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, -22, 0.4, -4, 19, 241?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/r**(-12)))\/r)\/((r*r*r\/((r\/(r*r*r\/(r**(3\/2)*r)))\/r))\/r)*r\/(r**(-17)*r)*r*r**(1\/5) assuming r is positive.\nAnswer: r**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 2. Suppose -7 = -k*s + 3, 22 = 2*v + 3*s. Calculate the smallest common multiple of 2 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 522063220 and 2320?\nAnswer: 2088252880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 255 * 0.6.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - 352)\/((6 + -4)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z + 274. Let j be (-1096)\/26 + 224\/104 + -2. Calculate the remainder when y(j) is divided by -2 + -16*(-1 + -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125015 and 590980.\nAnswer: 6500780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 16*q - 0*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.098 + -126901485.\nAnswer: -126901484.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/182646 and -71\/28470.\nAnswer: 11871990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjqr when four letters picked without replacement from jrqjqbjeqrqqjqjqqqqb?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 f, and 1 a when four letters picked without replacement from {z: 2, h: 4, d: 1, a: 3, e: 4, f: 3}?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*u**3 + 22*u**3 + 22*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201794.6 months in millennia?\nAnswer: 100.14955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2503196 or -2503195?\nAnswer: -2503196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1331 - -1967. What are the prime factors of b?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (133\/(-2))\/(868\/248)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2944, -2, -481 in decreasing order.\nAnswer: 2944, -2, -481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**2 - 1544*t + 1544*t + 14*t**2.\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**2\/4 + 118023*b\/2 - 236051\/4 = 0. What is b?\nAnswer: -236051\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t - 3*t + 2*t)*(-4 + 4 + 2*t + 0*t + 0*t - t - t + 0*t + 0*t + 5*t + 0*t - 4*t + 4*t + 0*t - 5*t + (0 - t + 0)*(1 - 4 + 1) - 4*t + 4*t + 2*t).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 657 + 657 + w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (4 - 4) - (0 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5216153?\nAnswer: 31, 168263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1922 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from blblbbllbqlbb.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1584) + -3)**2*-3 - (0 + 1*sqrt(1584))**2)*6.\nAnswer: -38174 + 1296*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 31. Give q(20).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 9. Let t(d) = -d**2 - 16*d + 13. Let m be t(-17). Let i be o(m). Calculate the remainder when 49 is divided by (78\/18)\/(1\/i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/10)\/(212\/1590).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 20\/(-150) - 499*(-24)\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -679 bigger than -4075\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 7*w + 10*w = 1274, 3*j - 5*w = 744. Let n = -250 + j. Solve n*q = -g + 7*q + 23, -2*q = -4*g + 22 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1069*l - 44802. Calculate s(41).\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 7*x = 468. Let u be 1778\/10 - (5\/(-25) - 0). Let o = -154 + u. Calculate the remainder when x is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -0.1, 46, -0.8, -1.2, -0.03, -3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-21) + (-6)\/21. Solve 3*p + 9 = 5*a - 20, 5*p - a + 19 = c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -6, 10 in ascending order.\nAnswer: -6, -2, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/204 and 51\/16.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 + 3*d. Let z(h) = 77*h**2 - 56*h. Let c(b) = 56*x(b) + 3*z(b). Let i(r) = -r. Calculate c(i(j)).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 - 2*t + 1. Let n be ((-28)\/21)\/(4\/6). Let f be (-3)\/(n*1\/34). Let p(h) = f + h**2 - h - 51. Determine a(z) - 3*p(z).\nAnswer: z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.087094 * 393.7.\nAnswer: -34.2889078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -262 - -357.5. Let s = -96 + u. Sort 1\/2, 4.1, s in increasing order.\nAnswer: s, 1\/2, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a461 (base 11) in base 5?\nAnswer: -24000320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1898809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 510 divided by 31\nAnswer: 510\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/((-22)\/14080*-16)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 4*o**2 + 4*o - 4. Let x be z(4). Let n be ((-27)\/x)\/((-1)\/4). Suppose -n = 4*q - 2*a - 1, a = -5*q - 10. Is q < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/4 - 407*h**3\/4 - 2694*h**2 - 2592*h.\nAnswer: h*(h - 432)*(h + 1)*(h + 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 - -217. Suppose g = 2*n + n. Calculate the remainder when n is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**3\/3 + 3*o**2\/2 + 3*o + 14. What is a(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8980 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 62610, 2\/61, -1, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*s**3 - 2*s + 4*s - 31*s**3)*(-3*s**2 + 3*s**2 - 2*s**2).\nAnswer: 10*s**5 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22*(15\/(-1260))\/(16\/(-224))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -34, -59, -94, -139?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4788 + 8817. Let o = 8238 - n. Round o to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.08 or -1\/26?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 19. Let o = l + -11. Solve -d - o = -2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36817c80 + -3?\nAnswer: -36817c83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 200 - 184 = 0. Suppose h - 31 = p, h - 3*p - 24 = -3. What is the highest common factor of h and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1150081, -1150098, -1150121, -1150150, -1150185, -1150226?\nAnswer: -1150273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9592 = -339*k + 10270 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1122211071.\nAnswer: 3, 41563373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v = 0. Solve v = f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-30)\/6 - -9) + -3)*5. Suppose -3*w - n = 0, 6*w = w - 2*n. Solve w*z - z = -x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4777*z**3 + 9635*z**3 - z - 4839*z**3 - z.\nAnswer: 19*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 8\/3, -4, -14, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 21. Let l be (3 - s)\/((-1)\/15). Let h = 32 + l. Solve 0 = c + b - 2, -h*b = -5*c + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 5*sqrt(34)\/sqrt(2) - sqrt(17)) + 4 + sqrt(17) + -3)**2.\nAnswer: 12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, f: 7, c: 8}. What is prob of picking 2 c?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -168190 + 84092 + 84096. Suppose 3*u - 2 = -2*g, -5*u + 5 = 6*g - g. Let w(l) = -l - 1. What is g*p(s) - 3*w(s)?\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 79 - 18 - 12 - 2*o - 28. Let b be h(7). Solve -b = -4*x + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 118.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7003 by -18.\nAnswer: 7003\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/(-2))\/(-9)*8. Let b = -8 - n. Let t be 2\/(1\/(-3) + 1). Put -3, t, b in decreasing order.\nAnswer: b, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103744 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6*-55460\nAnswer: -332760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 4*c + 8*c + 18*c as r*c + n and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 4*y = 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-4) + 2 - (-34)\/8. Solve r*x + 5 = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -13. Let t(l) = -2*l**2 - 3*l**o + 5*l**2 + 2*l**2. Let j(r) = 4*r**2. Give j(t(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*h + 33 + 45. Suppose 3*x = 5*v - 23 - 24, -h*x = 3*v - 13. Solve -v*t + 4 = -24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -724.88 - -709. Let u = 16.763 + o. Round u to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100 - 7*j**2 + 21*j**2 + 189*j - 11*j**2 + 286.\nAnswer: 3*(j + 1)*(j + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -22*u - 106. Let n(j) = 109*j + 524. Determine 14*d(p) + 3*n(p).\nAnswer: 19*p + 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -64*t + 67*t - 95, -5*t = p + 3 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**4 + 655*a**3 - 15825*a**2 - 33635*a - 17150 = 0.\nAnswer: -1, 35, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*s = -61*s - 30. Let m(w) = -1. Let o(l) = -3*l - 15. Let j(k) = -6*m(k) + o(k). Calculate j(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -145*t - 42. Let j(f) = -288*f - 77. Let x(k) = 6*j(k) - 11*l(k). Let p(s) = -8*s**2. What is p(x(r))?\nAnswer: -141512*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9 + 143766\/15966). Which is the third smallest value? (a) 0.5 (b) -1 (c) -3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330 > 1362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3\/2 (b) 2\/9 (c) 2 (d) -4132\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3411 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 968552961?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 8*n - 6. Suppose 14*h = 13*h - 6. Let c(v) = v + 1. Let q(d) = h*c(d) - r(d). Let j(i) = -25*i**2 - 28*i**2 + 74*i**2 - 23*i**2. Determine j(q(g)).\nAnswer: -392*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (3 + -5 + 16 + -9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -28, 22, 11, -4\/7, 2\/11?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 436357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1892 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: What is 9648.302l in millilitres?\nAnswer: 9648302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/64 and -107\/1873468?\nAnswer: 29975488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 101001101100010 (base 2) to base 16\nAnswer: 5362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(63))**2*1.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w - 216 = 4*i - 0*i, -3*i + 24 - 39 = -3*w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 93 + 95. Let z(h) = -2*h**3 + h**2 + h. Let i be z(-1). Calculate the smallest common multiple of 18 and 0\/f + (7 - 8\/i).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*r = -4 + 37, 2*z + 3*r = 7. Let f be z\/(-20) - (-2)\/5. Suppose f = 3*b - b - 98. Calculate the highest common divisor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 553 and 67387?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five quarters of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 6*y - 7 - 3*y)*(1 - 2 + 0 + 3 + 0 - 2 - 1 + 2 - 2 + (2 + 4 - 5)*(-1 + 4 - 5) + 0 + 0 - 1 + 2 + 0 - 3 + 1 - 5 + 2)*(-2 - 1 + 0).\nAnswer: 21*y - 147","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.049 + -0.149. Let v = -14.5 - -15. What is the closest to s in 0, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g - 1. What is the units digit of r(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 17, 57.\nAnswer: -2, 1, 17, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + 104. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 0\/(-11 - -6). Is 5\/7 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 22195*r**3 + 11*r**2 - 22*r + 55. Let u(w) = 7398*w**3 + 4*w**2 - 8*w + 20. Calculate -4*j(b) + 11*u(b).\nAnswer: -7402*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 275?\nAnswer: -7\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 15*v - 190. Calculate the greatest common factor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**3*q**3 + 12056*k**3*q**2 + 19*k**2*q**3 + 2*k**2*q**2 - 3*k*q**3 wrt q.\nAnswer: -6*k**3 + 114*k**2 - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84522901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.155953 rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.419, 0, 0.2, 3 in increasing order.\nAnswer: 0, 0.2, 0.419, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 9*g = -136. Suppose 6*i - g = 116. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -235374879 - -1.3389.\nAnswer: -235374877.6611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + -1 + (6 - 520\/(-45)). Let o = 988\/45 - a. Let t = 2.6 - 0.6. What is the nearest to t in 0, 0.03, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 + 4 + 35 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 6*n**2 - 6*n + 1. Let m be k(-5). Let r be (0 - 0)\/(m\/9*-3). Solve -2*i + 6*i + 20 = r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 3*w + 13*w - 5*w - 12 to a*w + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + 0 + (sqrt(153) - 2*sqrt(153))\/sqrt(9) + 4.\nAnswer: 4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3\/7 - 72524*t**2\/7 - 10406100*t - 2690257500.\nAnswer: -4*(t + 525)**2*(t + 17081)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 899815097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 11 - 13. Solve -4*k + 28 = -4*n, -3*n - t*n - 31 = -4*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 10*a - 12 = 0. Find the third derivative of -25*v**2 + a*v**3 + 11*v**4 - 2*v**3 wrt v.\nAnswer: 264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u - d + 54, -d - 48 = -3*u. What is the smallest common multiple of u and 7?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w + 2. Let y(i) = 1. Let t(h) = h + 9. Let c be t(-8). Let s be 3*-1 + (-29 - -6). Let d = s - -22. What is c*o(g) + d*y(g)?\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*d - 3*d + 12*d)*(236*d**2 + 219*d**2 + 288*d**2).\nAnswer: 14117*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*c + 6, 4*y - 27 = -3*c. Suppose -i - y = -4*i. Let l(z) = -z + 5. What are the prime factors of l(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6195479 to the power of 1\/2, to the nearest integer?\nAnswer: 2489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + w + 61 = 0, -3*o - 3*w - 152 = 2*o. Let k = 41 + o. Suppose 3*i = 5*i - k. Solve 0 = 3*u - i*n + 5, -5*u + 2*n - 32 + 11 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 12 (b) 1 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 361473491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 - 11*d**2 + 5*d. Let f(n) = -n**3 - n**2 + n. Give 5*f(k) - m(k).\nAnswer: -3*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 935038 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (-73)\/18)*-4. Which is the closest to y? (a) -4 (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 119562, -0.06?\nAnswer: 119562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 353057?\nAnswer: -1059171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207394 and 5390?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006443 rounded to 5 decimal places?\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 1 - (1\/(-1) + -7). Let l(u) be the second derivative of 1\/50*u**a - 1\/15*u**3 + 0 + 0*u**2 + 0*u**4 + 3*u. Factor l(n).\nAnswer: 2*n*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*d - 1 - 3*d**2 - 27*d - 12*d - 6 in the form k*d**2 + p*d + f and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 12:50 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 0.2, -2\/21, 3, 13, 480?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2952717631.\nAnswer: 2952717631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*b**3 + 7305*b**2 - 2442*b - 4872 = 0. Calculate b.\nAnswer: -812, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1316)\/(-2632))\/((-8)\/(-6))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/15*60*(-27530)\/(-8). Find the second derivative of -275300 + 217*j**2 + w + 136*j wrt j.\nAnswer: 434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*v - 2*f, -3*v - 3 = -4*v - f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 23003302 (base 4) to base 10\nAnswer: 45298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11981 * -473.\nAnswer: 5667013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 12:10 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16674 (base 9) in base 6?\nAnswer: -125104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 9*a**2 - 8*a + 1. Let b be k(-8). Let q be 3 - (2 + (-16)\/4). Suppose 4*d = -l - q, -13 = -2*l + 3*d - b. Is l greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/331 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 4394?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(5) + (sqrt(160)\/sqrt(4))\/sqrt(8) + sqrt(5)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l - 142 = -4*z, -4*z + 156 = -4*l. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20189709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(12)\/sqrt(6)) + sqrt(98) + sqrt(98) + -2 + sqrt(98) + sqrt(98).\nAnswer: -2 + 29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4 - 176*j**3 - 180*j**2 = 0.\nAnswer: -1, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 130 = -7*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a. Let p(d) = 6*d - 1. Let t be p(1). Let n be f(t). Solve h - 8 = n*i, 0*i + 12 = -5*i - h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 120, -3 in descending order.\nAnswer: 120, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + x + 15 = 6*x, 0 = -2*d - 3*x + 9. Solve -4*t + 4*c + 1 + 3 = 0, 2*c - 8 = d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l + 4 = -2*z - 12*l, -5*z - 3*l = 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37260 and 5309550?\nAnswer: 10619100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(2\/7))\/l*l*l*l)**7\/(l**(-2)*l)**46)\/((l**(2\/13)*l*l**(-4)*l)\/(l**(2\/9)*(l\/l**(1\/4))\/l*l)) assuming l is positive.\nAnswer: l**(31739\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5301 - 4176. Calculate the highest common factor of a and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqzwyqyyyzyq. Give prob of sequence zqz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26732 = 915*f - 1567*f for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 15503969.\nAnswer: 1\/15503969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 3*c**2 + 2. Let o be s(-2). What is the tens digit of (0 - o\/16) + 2616\/64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 11) in base 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-120)\/(-39) - -1 - (-5)\/(-65)) + 48081.\nAnswer: 5, 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2543 = -3*r - 2194. Let c = r - 4501. What is c rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/9, -5, -9 in increasing order.\nAnswer: -9, -5, -2\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68717.\nAnswer: 11, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.17 - -30.47. Which is the second smallest value? (a) r (b) 0.2 (c) 52\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7709025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 75*o - 27. Let s(g) = -449*g + 177. Let d(y) = -13*n(y) - 2*s(y). Give d(-1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3) + (-12)\/(-18). Suppose i*u = -5*j - 0*u - 3, -3*u = 5*j + 7. Let q(l) = 17*l + 1. What is the tens digit of q(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2. Let h(r) = 12*r**2 - 9*r + 9. Let y(f) = f**2 - f + 1. Let k(b) = h(b) - 9*y(b). Calculate k(l(s)).\nAnswer: 108*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1069189 is divided by 155.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**3 + 15*n**2 + 2*n - 16. Calculate m(5).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1515*h**3 + 3015*h**3 - 1511*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 128*l + 15. Let b(w) = 266*w + 30. Let p(d) = 2*b(d) - 5*c(d). Suppose 5*r = 3*a + 27, 4*a = -a + 4*r - 32. Is p(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2496*o**2*y**2 - 2*o**2 - 2*o*y**2 + 4*y**2 - 37*y - 137 with respect to o.\nAnswer: -4992*o*y**2 - 4*o - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 719 + -724. Sort 6, o, 1, -4 in descending order.\nAnswer: 6, 1, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/969024 and -23\/91728?\nAnswer: 37791936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13446?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 906950 + 906950.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v - 163*v**2 + 170*v**2 + 3*v**3 - 2*v. Let j(w) = 13*w - 20. Let p be j(2). Let a(h) = 4*h**3 + 8*h**2 - 7*h. What is p*t(q) - 5*a(q)?\nAnswer: -2*q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3848 to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.026 * -0.162\nAnswer: -0.004212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*o + 4*u = 309*o + 17, 7 = -5*o - u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 - 0.3. Let m = 2 - r. Which is smaller: m or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1. Let x(d) = -2*d + 2. Let i(q) = 3*u(q) - x(q). Let f be i(5). Let s be -4 + 12\/(3\/(15\/10)). Solve -3*r + 9 = -s*v + 3*v, -f*r + 29 = -3*v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - (87 + -46) - (0 - -18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(k - 2*k - k) + (186*k - 257*k + 162*k)*(-4 + 0 + 0) to the form d*k + z and give d.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/15 + (-28)\/6*2475396\/(-105) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -534613 - -1110?\nAnswer: -533503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12.6, -2, 458, -3\/2, -0.13.\nAnswer: -2, -3\/2, -0.13, 12.6, 458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 449579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73998 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 a when three letters picked without replacement from {a: 7, z: 5, b: 2, f: 3, h: 1}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(187) - sqrt(187))*6)\/((sqrt(11) + sqrt(88)\/sqrt(8))*4).\nAnswer: -9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1.66 (c) -6 (d) 2\/13 (e) 9575\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 minutes after 1:13 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -2.2 (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-416)\/(-364) + 156\/(-63)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - ((-1)\/(-2) - (-75)\/24). Let z(b) be the first derivative of v*b**2 - 1\/4*b - 3 - 3\/16*b**4 + 1\/12*b**3. Determine p so that z(p) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-25)\/((-1 - -3)\/(-6)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -141\/20*i**5 + 0*i**2 + 0*i**3 + 0 + 161*i - 1\/30*i**6 + 19*i**4. What is the third derivative of s(c) wrt c?\nAnswer: -24*c - 846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*f + 44*f = 298. What is the remainder when f is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**7\/g)*g)\/g)\/g**(-1\/5) assuming g is positive.\nAnswer: g**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 702914161?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 41. Let t = -3.2 + -0.8. Put -5, t, l in decreasing order.\nAnswer: l, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -4*f - 20, 233565*w - 233571*w + 22 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*g + 50 = 5*y, -27 = -3*y + 4*g. Suppose -3*p - 208 = -5*p. Calculate the greatest common divisor of y and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 713472, -2, -0.5, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -16cd (base 14) to base 7\nAnswer: -14646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 + 3*g**4 - 2*g**4)*(-52*g - 6 + 53*g - 18).\nAnswer: -g**5 + 24*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14\/5)\/(-1))\/((-124)\/(-620)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027953513 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 6*v - 5, -5*i = v - 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 3) in base 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 3921 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*r**2 - 15*r**4 + 4*r**4 + 2*r**2 wrt r?\nAnswer: -264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 92.08 and 0.1.\nAnswer: 9.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-202)\/(-22) + (-60)\/10 and (162\/495)\/(2\/5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m + 192065 = 64*m. What are the prime factors of m?\nAnswer: 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41098855?\nAnswer: 5, 7, 859, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -6\/7 (b) -1 (c) 3.7 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -475*k - 19481. Calculate a(-41).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 10. Let z = 1 + n. Let i = -6 + 9. Which is the second biggest value? (a) 1\/2 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 20*s - 8. Determine p(-21).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 355.4107 litres in millilitres?\nAnswer: 355410.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 4*z**2 - 2*z**2)*(-36 + 33 - 92) - z**2 + 1 - 1.\nAnswer: 189*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/sqrt(80))\/sqrt(2))\/((sqrt(240) - ((-2*sqrt(240) - sqrt(240) - sqrt(240)) + sqrt(240)))\/sqrt(3)).\nAnswer: sqrt(2)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - (5 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59\/2 - 587\/20. What is the nearest to -2\/7 in v, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4 - 11*f**2 - 7*f**3 + 10*f + 1 + 6*f**3 - 12. Calculate y(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30378*s - 27577*s = 179264 for s.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2616 and 88.\nAnswer: 28776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 - -10) + (135\/10)\/9. Let v(m) be the second derivative of -8*m + 1\/2*m**3 + 0 - z*m**2 + 1\/12*m**4. Determine v(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.021337 days to weeks.\nAnswer: 0.860191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*o = 4, -2*b + 4*o + 11 = -b. Suppose 0 = -5*s + 2*c - c - 23, b*s + 15 = c. Is (120\/s)\/(6\/(-8)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/36 + -121\/252. Is 1.5 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949 is divided by 348.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 47544 divided by -3396\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 a when four letters picked without replacement from {b: 3, e: 3, l: 1, a: 6}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1269 at least -739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/37)*v\/(v\/v**11))**(1\/38)*v*v*v*v**7\/v*v**(-1\/5)*((v\/v**(1\/2)*v)\/v)\/(v*v**(-1\/6)\/v) assuming v is positive.\nAnswer: v**(205727\/21090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2214140121 (base 5) to base 11\nAnswer: 2801771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 1. Let k = 6982 - 6943. Let p(q) = 6*q + 6. What is k*x(z) + 6*p(z)?\nAnswer: -3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 975*q = -980*q, -5*u - 4*q = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(104) + (sqrt(104)*2 - sqrt(104)) + sqrt(104) + sqrt(104))*3)\/(sqrt(72)*-3)*2)**2.\nAnswer: -832\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5800477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 4*v**2 - 3. Let p be 5\/15 + (-8)\/(-3). Let y be l(p). Let u be 420\/(-7)*(-26800)\/y. Round u to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*b + 4. Suppose 0*r = -3*r - 2*x + 5, -2*x = b. Suppose -r = -2*c + 9. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2278123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3263 - 3263. Let w(y) be the third derivative of 0 + j*y**3 - 1\/210*y**7 + 0*y + 1\/8*y**4 + 11*y**2 + 1\/60*y**5 - 1\/40*y**6. Factor w(g).\nAnswer: -g*(g - 1)*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1117\/900 - -2\/225. Calculate the common denominator of ((-20)\/6)\/(12*(-10)\/855) and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(272) + (sqrt(272) - (sqrt(272)*3 + sqrt(272) - sqrt(272))))**2.\nAnswer: 40*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38982*k**3 - 26689*k**2.\nAnswer: 233892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 40*r + 3. Calculate a(2).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4732 is divided by 300?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -4*g - 16, -3*g = p - 5*p + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*t + 8, -5 = -4*t - 21. Let g = 0.4 - 0.4. Sort d, 4, g in descending order.\nAnswer: 4, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -1.479823.\nAnswer: 4.439469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-13272)\/(-126) - (-5)\/((-45)\/12) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 300143*p**3 + 2*p**2 + 2*p + 8172 wrt p.\nAnswer: 1800858*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116703284?\nAnswer: 2, 29175821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 a factor of 614970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 332, 613, 902, 1205, 1528, 1877, 2258, 2677?\n\"Answer: s**3 - 2*s**2 + 280*s + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8443.028 grams to milligrams.\nAnswer: 8443028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.082 * -0.09.\nAnswer: 0.00738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2096.8 to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 116.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/12*-6)\/((-2)\/(-28)). Let f(d) = -d**3 - 22*d**2 - 20*d + 28. Let q be f(h). Solve 0 = g + 2*o - 11, 2*o + 20 = q*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 27 = 5*l, 3*l = -5*j + 5*l + 20. Let f = -758\/3 - -252. What is the closest to 0.1 in -2, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 152188530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1654.95914 + 1655. Let l = f - -18.02214. Let q = l + -18. What is q rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19127 - 1293. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -0.191, -4 in descending order.\nAnswer: 63, -0.191, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2293246*m**3 + 10277541.\nAnswer: 6879738*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - i + 3*i - 7*i to w*i + p and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4733403 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.009 - 1.409. Let v(q) = q**3 - q**2 + q - 1. Let i be v(1). Is i less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99246929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 + -2. Let a = 24.25 + -34.7. Let z = a - 0.55. Which is greater: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6063 and 2679?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4 = -4*j - 5, 2*j - 4*t + 4 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43611, 43586, 43575, 43584, 43619, 43686?\nAnswer: 43791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.00811 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-9*(-2)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 7. Let a(u) = -486*u + 964*u - 479*u. Determine a(m(r)).\nAnswer: -r + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -478, -3769, -6.\nAnswer: -3769, -478, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10217959622 - 3.\nAnswer: 10217959619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 7. Let s be t(-5). Suppose -3*i - z + 225 = 0, -s*i - 2*z = -96 - 54. Round i to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-3*(0 + (-3)\/9). Let i = -236\/57 - -66\/19. Which is the nearest to j? (a) 1 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1689 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-500)\/(-140) - 8\/14. Suppose g*k - 15 = -f, -2*f + k - 5 = -0*f. Suppose f = -3*p - 5*y + 63, 5*p - 5*y = -2*y + 71. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3*sqrt(96) + sqrt(96))\/sqrt(8))\/(sqrt(20)\/(sqrt(5)*-1))*-2.\nAnswer: -4*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - n + 292073 = 18133, t - 91310 = 3*n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 6:21 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 34 + h - 2 - 3*h. Let i be r(-11). What is the highest common factor of i and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73845 by 5.\nAnswer: 14769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(-3*z - 3*z + 4*z)*(-1035*z**2 - 940*z**2 - 1168*z**2) in the form t + s*z**3 + u*z + x*z**2 and give s.\nAnswer: -6286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - 14) + -12*(-1)\/2. Suppose 9 = r + 3*y, -2 = j*r - 0*r - 4*y. Solve -5*a = -4*k + 12, 4*k + a - r*a = 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*a**2 + 218*a**2 - 93*a**2 + 145*a as t*a**2 + w + z*a and give z.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**3*z*(z*z**(2\/37))\/z*z*z*((z**7*z)\/z)\/z*(z**(-2\/35)*z)\/z assuming z is positive.\nAnswer: z**(9061\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9139 - 9150. Which is the second biggest value? (a) -119 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3774 - 3773.94177. Let x = -3.4 - -3.342. Let f = g + x. What is f rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10972\/364 + (-16)\/14. Let s(v) be the second derivative of 0 + 25\/6*v**3 + r*v + 0*v**2 - 17\/12*v**4. What is the second derivative of s(h) wrt h?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8298+2497982.6\nAnswer: 2489684.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - c - 16 + 1.\nAnswer: -c - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g)**(-9\/2) assuming g is positive.\nAnswer: g**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 6230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -561*g**3*m**2*t + 2*g**3*t - 2*g**3 - g*m**2*t + 595*m**2*t wrt g.\nAnswer: -3366*g*m**2*t + 12*g*t - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = -14*k - 150. Let t = 152 - k. Let 4\/5*x**4 - 4\/5 + 0*x**t + 8\/5*x**3 - 8\/5*x = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 272373239710749 and -0.3.\nAnswer: 272373239710748.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*a - 107030 = 121128. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 30 = -3*w, -9 = 5*w - 6*w + 2*f. Calculate the lowest common multiple of 27 and w.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1088 and 9853880.\nAnswer: 78831040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6058 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*(-16)\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -0.5, -2150?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/9*1\/(-5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 24 = -5*h + 2*x, -2*x = 5*h - 29 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x**2 + 235*x + 1377. Give n(-6).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-7*(-24)\/12)\/6\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, q: 5, e: 2}. Give prob of picking 1 e and 3 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-4 + 2 + 1 + -2 + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 10*g + 8. Let p be q(-9). Suppose -20 = -5*h + 3*l, -2*h + 4*l = l - p. Solve 4*t - 5 = -h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a kilometer in meters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - s + s - 1. Let p = -196 - -197. Let t(l) = -l**2 - 7*l + 7. Give p*t(i) + 6*n(i).\nAnswer: -i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -2 (c) -5 (d) -0.6 (e) -17 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8052*g**3 + 12483*g**3 - 4420*g**3.\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -29*s**2 + 21. Let z(w) = 6*w**2 - 4. Let u(f) = -4*r(f) - 22*z(f). What is the first derivative of u(n) wrt n?\nAnswer: -32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0191, -0.4, -1\/5, 1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 102 and 44.\nAnswer: 4488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 227*m**3 - 6*m**2 + 2*m**2 + 32 - 224*m**3 + 2*m**2 - 17 + 4*m in the form q + v*m**2 + f*m + n*m**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 19*u - 84. Let l be v(-13). Suppose z + 5*j = 5*z - 5662, -2836 = -2*z + 5*j. Is ((-2)\/l)\/(3\/z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 65552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6*d = -2*d, -d + 15 = 4*h. Suppose 25 = 2*l - 3*p - 0*p, h*l - 5*p - 38 = 0. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11 + 8289*u**2 + 79*u - 12 - 129*u + 7 + 3727*u**2. Let h be o(24). Round h to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -0.3. What is the smallest value in 1, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361988 is divided by 208.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-7)*(2 + 0)*(-81)\/162?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/(g\/g**(-2\/11))))\/(g\/(g\/g**(-6)*g))*(g**(2\/5))**18 assuming g is positive.\nAnswer: g**(901\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 34*w**3 - w**2 + w - 1. Let y(a) = a**3 - a**2 - a - 1. Determine -i(c) + y(c).\nAnswer: -33*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**5\/30 + 413*s**4\/2 + 511707*s**3 + 56*s**2 + 55*s. Factor f(c).\nAnswer: 2*(c + 1239)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 9, -19, -67, -141?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-8) + 20\/(-16). Suppose -3*p - 2*w + 21 = -10, 4*p + v*w - 38 = 0. What is the second derivative of -6*f**5 + 12*f + 11*f**5 - p*f**5 wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 20748778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l = -85. Let y = 18 - l. Which is smaller: y or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 + 11*i)*(2*i + 35 + 36 - 84).\nAnswer: 22*i**2 - 143*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwd when three letters picked without replacement from {d: 3, w: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 24 = -0. Suppose -s + q*s + 1277 = m, 2*m - s = 2550. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2\/6 + 48236035*x\/3 - 465343014504245\/6.\nAnswer: -5*(x - 9647207)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in 0.2, -942, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461278056 a multiple of 668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p - 6 = 0, 3*t + p = 4765. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2 + 8. Calculate the lowest common multiple of 4 and 3483\/12 + t\/(-8).\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 160*v - 2.\nAnswer: 160*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 3*t - 4*t + 8*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5 - 9. Let t(u) = f*u**3 + 8*u + 8 - 12 - 3*u**3 + 3*u**2 + 2*u**2. What is t(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 2320850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 404 = 4*k, -8*z - 202 = -2*k - 6*z. What is the remainder when 330 is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuhhhuh. What is prob of sequence hhhh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264, 517, 770?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3649*z**2 + 4*z + 9793. Let r(j) = -10946*j**2 + 14*j + 29356. Let q(d) = -7*f(d) + 2*r(d). Differentiate q(c) with respect to c.\nAnswer: 7302*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2861 in 0.1, 4\/9, 8, 1\/56?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 613255927 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 144821 to the power of 1\/2, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*sqrt(504))\/(sqrt(22)\/(sqrt(22)\/sqrt(2) + sqrt(11))))**2 + 1.\nAnswer: 192*sqrt(7) + 4049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 - 79*i\/2.\nAnswer: i*(i - 79)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/3 (b) -60 (c) 2\/9 (d) -7.195 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 4 = d - 9*i, -5*d + 17 = 2*i. Solve -2*u - 5 = -4*c - d, -2*c - 2 = -2*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/6*(-6)\/(-5). Let y be 1 - -10*1\/n. Let p(o) = 9*o + 121. Let r be p(-13). Which is the closest to y? (a) -2\/9 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1441 (base 7) to base 11\nAnswer: -477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*v + 3. What is the third derivative of 52*a**4 + v*a**2 + 50*a**4 - 104*a**4 wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36+-75\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/73 in 3\/8, 3, 0.1, 9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-3)\/(-6))\/(754\/348). What is the closest to 0.005 in a, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-22)*(-3)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 24. Let w be t(17). Suppose -5*q + 53 = 4*s - 597, -4*q - 5*s + 511 = 0. Let i = q + -44. What is the greatest common factor of w and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -9*d. Let i = 7 - -5. Solve 4*r + d*r = i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3502 + 0.4302. Put 3, -0.1, -0.07, w in descending order.\nAnswer: 3, w, -0.07, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whw when three letters picked without replacement from {h: 9, w: 7}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 f, and 2 n when four letters picked without replacement from {o: 1, n: 4, m: 2, k: 2, z: 1, f: 2}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -100111010?\nAnswer: -100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -106783*-2*(-9)\/((-72)\/44) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -54 - 21. Suppose -160 = -0*d - 2*d + 4*u, -2*u - 6 = 0. What is the remainder when d is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -3281*x**5\/20 + 31*x**4\/3 - x**3\/3 + 2701*x. Find the third derivative of w(g) wrt g.\nAnswer: -19686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -3) + 6 - (-8 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 12:12 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 1\/((-96)\/33 - -3). Let n be (-8 - x)\/((-2)\/(-2)). Factor 0 - 2\/7*z + n*z**2 + 2\/7*z**3.\nAnswer: 2*z*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20456266 + 2?\nAnswer: -20456264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/109023063 and -37\/13436.\nAnswer: 436092252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700)*2 - sqrt(1700))*6 + (-1 + sqrt(1700) + 0 - sqrt(1700)) + -4 + (sqrt(1700) + 3*-1*sqrt(1700) - sqrt(1700)))*-1)**2.\nAnswer: -300*sqrt(17) + 15325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, c: 1, t: 1, i: 1, m: 1}. What is prob of sequence ctai?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2456 is divided by 189.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 661007030 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + 1)\/3 + 2. Let x(v) = 3*v**2 + 9*v - 3. Let j(n) = -5*n**2 - 17*n + 5. Let i(p) = o*j(p) + 7*x(p). Let y = 9 + -3. What is i(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 65 (b) -6\/7 (c) -2 (d) 3 (e) -2\/5 (f) 1.47 (g) 5\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000180444625 to 6 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 7. Let b(u) be the first derivative of u**2\/2 + 7*u + 7. Let v(d) = 6*b(d) + 7*s(d). What is v(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3, 0*z + 9 = -h - 2*z. Let g be (-1 + 1)\/(2 - 1). Let y be h\/5 + (0 + g)*1. Which is the fourth biggest value? (a) y (b) -2 (c) 1\/6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, p: 5}. What is prob of picking 1 t and 2 p?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/32*-36 + -7. Solve 8 = -f*y - 2*c, -4*y - 8*c = -6*c + 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 40.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7401, -7393, -7379, -7359, -7333, -7301, -7263?\nAnswer: -7219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 11*o + 6. Let b(y) = 120*y + 65. What is 6*b(n) - 65*q(n)?\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5261 + -199973\/38. Calculate the common denominator of a and -73\/22.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 9. Let j = 21.02 - 21. Let g = j + 0.28. Sort -3, g, v in decreasing order.\nAnswer: g, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1653 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/6385473 and 29\/3.\nAnswer: 6385473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 19*c - 26. List the prime factors of j(10).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/30 - 3116*o**3\/15 - 2427364*o**2\/5 - 1346*o - 1. Factor b(z).\nAnswer: -2*(z + 1558)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*u = 6*u + 16, -12 = -4*u. Suppose -w*t + 30 = -5*s, -3*s = -4*t + 14 + 7. Solve 24 = 3*m - 4*c - 5, -2*m + 21 = -t*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**2 + 57*v = 0.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39049611 - -4?\nAnswer: -3904960a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 5. Let n be z(6). Let k(g) = -g**2 - 14*g + 11. Let s be k(n). Suppose 0 = -4*m + s + 20. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -266, -6445, 4 in descending order.\nAnswer: 4, 0, -266, -6445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -49\/2. Which is greater: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2177 and 301?\nAnswer: 93611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 11. Let j be p(7). Solve -4*q + q + 5*v + 6 = 0, -j = -2*q + v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**5 + 2545*b**4 - 18005*b**3 + 28355*b**2 - 12900*b = 0?\nAnswer: -516, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*(-30)\/40)\/((-45)\/20).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 12 + 1 + -9 - -42 - (14 + -3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323 - 41 = 61*c + 307 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31486.\nAnswer: 2, 7, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 3*j**2 - 6*j.\nAnswer: 3*j*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 35 = 0, 3*y + 2*w - 672 = 130. What is the greatest common divisor of 1808 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1211211, -3, -2.\nAnswer: -3, -2, 1211211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -5 - (-14 + -26 + 4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48005.14l?\nAnswer: 48005140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1749*j - 10490. Let v be y(6). Solve -5*q + 8 = 13, -q - 1 = -v*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1146*s - 58863. What is j(-51)?\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1669, 6762, 15261, 27154, 42429, 61074?\nAnswer: 83077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54540 = 1477*x + 39988 for x.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 520 + -8724?\nAnswer: -8204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 66d9?\nAnswer: -66da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11*o**3 + 4\/11 - 2\/11*o**4 - 10\/11*o + 6\/11*o**2 = 0. Calculate o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkkikiikikkkkkkkk?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*b = d - 71, 0 = -4*d + 5*b + 288. Suppose -d = -l - 67. Suppose l = -o + 5*r + 654, 1297 = 2*o + 5*r - 4*r. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 0*x + 0*x + 2*x.\nAnswer: 4*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 7:06 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - k + 21. Let q be y(0). Let j(x) = 9*x - 88. What are the prime factors of j(q)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 2)*(0 + 1 - 3) + 5 + 0 - 4 + (-9 + 1 + 2)*(-3 - 3 + 5))*(a - a - 2*a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160115239.\nAnswer: 677, 236507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -46.19.\nAnswer: 92.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 5*o**2 + 10*o + 6. Let k = -30 - -58. Let v = -35 + k. What is the tens digit of m(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 4\/3*m**3 - 9*m + 0 + 0*m**2. Let i(y) = y. What is i(d(o))?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.51 - 0.01. Let w be 210\/(-135) + 230\/90. What is the nearest to -1 in w, -4\/5, p, 2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w = 6. Suppose -w*k + 429 = -153. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1463800\/277 or -5283?\nAnswer: -5283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 48347*i**2 + 5*i - 3. Is l(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 4*r**2 - 9*r - 19. Let g be i(6). Calculate the remainder when 154 is divided by 20\/(-11 - -6)*g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 438406\/13 - 33745. Let h = x + 6775\/286. What is the common denominator of h and -3\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**4\/24 + w**3\/6 - 7*w**2. Let h(m) = -m**2 + 3*m. Let p = 0 + 1. What is p*h(c) - x(c)?\nAnswer: -c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48 - -48) + (18 - (14 + -15)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, 1703, 2\/5, 17\/2, -2, 2 in descending order.\nAnswer: 1703, 17\/2, 2, 2\/5, -2, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92253*a**3 - 92252*a**3 + 3*a - 3*a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5\/4*t**5 - 55\/2*t**3 + 475\/4*t + 125\/2 + 40*t**2 - 25\/2*t**4 = 0?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*k + 130*k - 31*k**2 - 370*k + 117*k.\nAnswer: -31*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l - 5*s = 20, 4 = -l - s. Suppose 3*u - 7*j + 5*j = 489, -4*u - 4*j + 652 = 0. Let p = u - 160. Solve l = -f + p*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -377093390021 and 0.3.\nAnswer: -377093390020.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13366 = -4*b - q, -q - 22 = -28. What is the highest common factor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 12:14 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -114, -105, -94, -81, -66, -49?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 2*b + 14, -3*k - 433072*b - 8 = -433071*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 5*y + 0*y)*(4 - 3 - 2)*(5 - 7 - 8).\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433.2918417 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 70*h. Let l(f) = -7*f. Let q(t) = 5*c(t) + 49*l(t). Let s(y) be the first derivative of 3*y**2\/2 + 23. Determine s(q(z)).\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -23788 - 16802. Let t be ((-8)\/(-3))\/(-3 - (-11210)\/k). Are 69 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y - 1. Let h be a(8). Let q = -33 + h. What is the tens digit of (1 - q) + -4 + 94?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**3\/3 - 2*z**2 + 4*z + 162. Factor r(w).\nAnswer: (w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -5*f**4\/12 + 7*f**3\/6 + 22*f**2. Let h be v(-1). Suppose 3*z - h = -5. Put 0, -3, z, -1 in increasing order.\nAnswer: -3, -1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**6)\/(o*o*(o\/o**(-8\/3)*o)\/o))**(-33)\/((((o\/(o\/o**(-7)))\/o*o)\/o**(-3\/4))\/(o**(1\/9)*o\/(o\/((o*o**(-8)*o)\/o))*o)) assuming o is positive.\nAnswer: o**(12685\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**3 - 5*r**2 + 2*r - 2. Let x(i) = -i**3 + i**2 - i. Determine -2*x(l) - y(l).\nAnswer: -2*l**3 + 3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -1\/170807177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16292\/21 - -776. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44.0153 grams?\nAnswer: 0.0440153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {g: 2, p: 1, y: 1, q: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 11*m - 21*m**3 - 95174*m**4 + 12*m**2 + 95144*m**4 - 9*m**5 - 6*m + 7*m = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (10 - (7 + -2)) + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 293*y**6\/30 + y**4\/12 - y**3\/3 - 4771*y**2\/2 + 2*y - 2081. What is the derivative of u(g) wrt g?\nAnswer: 1172*g**3 + 2*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74814 is divided by 47.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 671 + 188. Suppose -67*f = -b*f + 64. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 25*h + 12. Let x be c(-25). Solve 0*f = -2*f + b + x, -3*f - 3*b = -9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/7*g**3 + 0 - 96\/7*g**2 - 33\/7*g.\nAnswer: 3*g*(g - 11)*(3*g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 - 27 + 27. Let a(l) = 4*l + 3 - 3. Give a(x(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4788 (base 14) to base 16.\nAnswer: -30b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k. Let b(w) = w. Let g be b(-6). Let c(p) = -p. Calculate g*l(d) - 15*c(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/5 - 13308*z**3\/5 - 22137858*z**2\/5.\nAnswer: -2*z**2*(z + 3327)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 547 - 55 = 5*v, -228 = 3*v + 5*z + 2*z - 4*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0872, 2\/617, 0.1 in decreasing order.\nAnswer: 0.1, 2\/617, -0.0872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 41, 55, 65, 71?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19004.5 - 19004. What is the closest to -3 in -4, 837, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1, 11935 in increasing order.\nAnswer: -1, -0.4, 11935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6, -28, -64, -114?\n\"Answer: -7*x**2 - x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1669 by -2.\nAnswer: -1669\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -428282.\nAnswer: -3\/428282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -abd + 2?\nAnswer: -abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*j + 28. Calculate the highest common factor of j and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.109 + -0.428. Let g = -0.4 - v. Let t = 55.681 + g. What is t rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595029 = 89*v + 152*v. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z - 4 = 0, 0 = 5*h + z - 9. Let k be (h - -2 - 3)*18. Calculate the highest common divisor of 45 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*z = -93*z + 2118. List the prime factors of z.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(121)\/((sqrt(44) + sqrt(11))*6).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.2, 2\/3, 4.\nAnswer: 2\/3, 2.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9*y = -4*k + 60, -k + 5*y + 15 = 0. Let n = -8 + k. Calculate the highest common factor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 19 - 67 = 0. Let z be 64\/a - 4\/6. Let v be 36\/8 + z\/(-4). Is 8\/3 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*h**2 + 3083*h**4 - h**3 + 3318*h**4 - 6579*h**4 wrt h?\nAnswer: -4272*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 + -7 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + -6 + (-8 - -33) - 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/46 or 1?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13344575 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.5, -0.4, 5939, -5 in decreasing order.\nAnswer: 5939, 3.5, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**11*c\/c**(-2)*c assuming c is positive.\nAnswer: c**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 2 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 22*q + 102. Determine j(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 102*t**2 + 752*t + 18. Let h be g(-94). Let r = 14 - 5. What is the greatest common divisor of h and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39467*r**4 - 12291?\nAnswer: -157868*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 31. Suppose a + 26 = 3*q - 4*a, -24 = -f*q + 5*a. Suppose h - 9500 = q*h. Round h to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, 2, 13, 4, 1, -17 in decreasing order.\nAnswer: 133, 13, 4, 2, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1745?\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 721*m*z**3 - 21*m*z**2 + 9*m + z**3 wrt z.\nAnswer: 4326*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, -308, -747, -1166, -1559, -1920, -2243?\nAnswer: -2522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2\/(-9) + 364\/18 and (14\/(-28))\/((-1)\/16)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-44)*(-176)\/96\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13948 - -19973. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -36*t**2 - 919*t - 23. Determine b(-26).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 21 = -5*k + 5*b, -2*k = -2*b + 6. Let q(d) be the first derivative of -2 + 2\/5*d**3 + 0*d + 3\/5*d**5 - 21\/20*d**4 + 0*d**k. Factor q(l).\nAnswer: 3*l**2*(l - 1)*(5*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172666956 divided by 1308083.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 133*c**4\/24 + 51*c**3\/2 - 2*c**2 - 32. What is the first derivative of r(m) wrt m?\nAnswer: 133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(539\/231) + 153\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5)\/t**6*(t**(2\/5)\/t)**(-2\/35) assuming t is positive.\nAnswer: t**(-1919\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 287287\/200 or 1435?\nAnswer: 1435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = s - f - 2*f, 4 = -2*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -553, -717, -931, -1195, -1509, -1873?\n\"Answer: -25*q**2 - 89*q - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 382*y**6\/15 + 707*y**5\/30 + 12*y**2 + 131. What is the third derivative of d(c) wrt c?\nAnswer: 18336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -202 - 5240?\nAnswer: -5442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/((-15)\/1). Let j = 0.02 - 5.02. Let y = -4 - j. Put a, y, -4 in descending order.\nAnswer: y, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + -4 + 0 + sqrt(272))**2.\nAnswer: -112*sqrt(17) + 3348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/13, 0, -0.01, 0.2.\nAnswer: -0.01, 0, 0.2, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/14 - (-13)\/91. Find the third derivative of -4*n**s - 5*n**4 - 2*n**4 + 4*n**2 + 4*n**2 wrt n.\nAnswer: -168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -586.924 - -548.9. Let d = u - -0.024. Let b = -27 - d. Is -1 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 7:22 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 11312714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/((-72)\/540)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.069929, -2\/5?\nAnswer: -0.069929","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15534 times 0.149\nAnswer: -2314.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-20)*(2 + -7). Is (132\/(-8) + -2)*g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0 - 5 = 3*w, 4*w = 4*r. Solve -2*f + 5*f + 7 = -4*d, 0 = -f + r*d - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5\/17)\/p*p**(-5)*(p**2*p)\/(p\/(p**(-2)\/p)) assuming p is positive.\nAnswer: p**(-124\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -361289, -722639, -1083989, -1445339, -1806689, -2168039?\n\"Answer: -361350*g + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 26 = -4*t - t, -4 = -2*p. Let k be 1449\/39 - t\/39. Let m = k + -19. Solve 0*d + 3*w = 3*d + m, 4*d + 4*w = 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 329 by -139241.\nAnswer: -329\/139241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p + 56*p - 6 = 0. Let a be p\/7 + 2061\/42*4. Suppose 4*s - 164 = a. Calculate the highest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by -5.\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2384014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605 is divided by 55?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**6\/90 - y**5\/40 + y**4\/24 + y**3\/6 - 2*y**2. Let u(j) be the first derivative of p(j). Is u(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 49\/49*(4\/5)\/(-2). Let n(k) = -k**3 - 4*k**2 - 4*k - 4. Let y be n(-3). Which is greater: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 1. Let f be o(-1). Suppose -4*m = 26 - 10. Let u be -3*(-3)\/36*m. Put u, 3, f in decreasing order.\nAnswer: 3, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shsqhqcsqhhhh. What is prob of sequence sq?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1 + 23. What is the smallest common multiple of 8 and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 7*u**4\/24 + 72*u**2 + 1. Let k(b) = 5*b - 4*b + 6*b - 11*b - 2*b. Determine k(m(r)).\nAnswer: -42*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1102*h**2*y**3 - 117651*h**2*y**2 + 3*h**2*y - 32*h*y**3 + 2*h - y**3 wrt y.\nAnswer: 6612*h**2 - 192*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004361 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 l when three letters picked without replacement from zllzltzz.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 6 = 11*j + 2*r, -1 = -j - 3*r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 10*p**2 + 10*p + 9*p**3 + 3 + 5*p**3 - 13*p**3. Does 16 divide m(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 7:29 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4 + 2*y - 4. Let j(o) = o**3 + 2*o - 1. Let u be j(1). Let l be t(u). Solve 0 = w + l*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.00721522 to 4 decimal places.\nAnswer: 2.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 97472571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2445, 4904, 7377, 9870, 12389, 14940?\nAnswer: 17529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s. Let i(j) be the third derivative of -j**8\/20160 + j**5\/20 + 2*j**2. Let b(c) be the third derivative of i(c). What is q(b(a))?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54825 and 19281200?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64092432?\nAnswer: 2, 3, 1335259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 13.7. What is the nearest to 1 in 4\/7, r, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2836.\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012549197?\nAnswer: 3, 11, 19, 1614911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3 + s**2 + 3*s + 3. Let m(c) = -c**3 - c**2 - 2*c - 1. Let a(d) = -m(d) - q(d). Suppose 0 = 55*k - 62*k - 14. Give a(k).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2, 5 = 5*d - h + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 12*u**3 - 9*u**3 + 3 + u**4 + 1 as w*u**2 + r + p*u**3 + x*u + m*u**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 66.999954. Round l to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1034 + 164 = -30*r. Suppose 30*f = r*f + 147. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f + 17*f - 40*f + 10*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 229223626661\/96908930760 - 1\/42503917. Let a = s + -15\/152. Find the common denominator of a and -40\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1396, -4117, -6832, -9535, -12220, -14881, -17512, -20107?\n\"Answer: q**3 - 3*q**2 - 2719*q + 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8638 = -c - 3418, -5*c = 3*f - 7256. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110529 and 1728?\nAnswer: 21221568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -260819713, -260819712, -260819711?\nAnswer: -260819710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11037000 and -1.4?\nAnswer: -15451800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*g + 61*g - 25*g)*(4 + 0 - 3)*(0 - 6 + 0) + (2 - 2*g - 2)*(2 + 1 - 1) + 1 - 1 + g as m + o*g and give o.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 72d5?\nAnswer: 72d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.352 - 16.252. Let l = 16 + n. Let u = 29 + -148\/5. Which is the closest to l? (a) 1\/2 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 4645370740878?\nAnswer: 4645370740878.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8) - 46\/120. Let q = -6.17 + 6.27. Is d at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2663, 2662, 2661, 2660?\nAnswer: 2659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*l = 79*l + 3*y + 5, 2*l + 2*y = 0. Let q(p) = 6*p**2 + 5*p. Let g be q(-5). Suppose -v + 0*v = 2*x - 28, l*x = 5*v - g. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 6*i + 5. Let t be v(-6). Let a(b) = b + 5. Let o(f) = -f - 4. Let n = 14 + -10. Suppose -24 = -0*y - n*y. Calculate t*a(k) + y*o(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -3, -3\/14, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Let q(j) = j + 4. Let l be q(6). Let f be 414\/46 + 1*-9. Solve -d*o + f*o = -l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003933787 rounded to 7 decimal places?\nAnswer: 0.0000393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*v - r, 4*r = -2*v - 1 + 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1259539 - 48?\nAnswer: 1259491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + ((-2)\/(-7) - 6\/(-8)). Which is greater: -3\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7192)\/7688 + (-2)\/31.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 29. Find y such that 5*y**2 + 5*y**2 - 5*y - y**3 - 2*y**2 - 4*y**2 + g = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*k**6 - 67*k**5 - k**4 + 29710*k**2 wrt k?\nAnswer: -960*k**3 - 4020*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 11:35 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1335.382 rounded to the nearest 10?\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.1 rounded to 0 dps?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**3\/3 + 2*q - 1. Does 9 divide d(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -3*f**3 - 3*f - 338. Let z(q) = -8*q**2 - 4. Calculate -4*v(r) + 3*z(r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*y**5 + 532603*y**2 - 44813*y - 75?\nAnswer: -160*y**3 + 1065206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2777 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.463009ml?\nAnswer: 0.000463009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**4\/24 + 5*r**3\/3 + 5*r**2. Let x be t(9). Let b(o) = 5*o. Calculate b(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/9 and -11\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/86412 and 35\/777708?\nAnswer: 777708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v + 304. Let g(i) = -i. What is z(g(n))?\nAnswer: -5*n + 304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/12 - -1)\/((-10)\/(-16)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 18961*z + 2358. What is the units digit of b(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -17*n + 137. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32556441.\nAnswer: 3, 101, 139, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/1731, -1.21, 6, -3, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/4, 1, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*x**4 + 9*x**3 - 31291*x**2 + 28433155 with respect to x.\nAnswer: 52*x**3 + 27*x**2 - 62582*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 2:49 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*q**2 - 20*q**2 - 29*q**2 - 3*q**2 + 4*q**2 - 4*q**2 + (3*q - q**2 - 3*q)*(0 + 1 + 0).\nAnswer: -83*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t + 132. Give q(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 25*g + 62. Let x be r(-27). Let t = x + -78. Calculate the remainder when t is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-63)\/(-2)*(-96)\/(-28). Calculate the greatest common factor of 27 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 + 90. Sort x, 17, -5.\nAnswer: -5, x, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -40*h**3 - 6*h**2 + 8*h. Let l be g(2). Is l less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002522285 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = 4*d + 58, 400 = 5*k + 3*d. Let y = -53 + k. Suppose -s + y = 2*s. What is the remainder when 22 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.045?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*k*v**2 + 278*k*v + 9*k + 3*v**2 - 2049127*v wrt k.\nAnswer: -51*v**2 + 278*v + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 215, -4\/5, 2\/9, 8\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*d - 3*w, -2*d - 2*d + 2*w = 24 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + 3 + sqrt(3) + (sqrt(3) - sqrt(96)\/sqrt(8)).\nAnswer: 3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1150 and 799342.\nAnswer: 19983550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -12, -144, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 95580634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22303535*d**3 + 40421038 wrt d?\nAnswer: -66910605*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 4*b**2 + 6*b + 1. Let p be v(-5). Sort -3, -5, p.\nAnswer: -5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 16*g + (3*g - g - 4*g)*(-2 + 2 - 2).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -32. Suppose -l + o = l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008071185 rounded to 6 decimal places?\nAnswer: 0.000807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {o: 4, l: 4, y: 7, v: 1, e: 2}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -790 divided by 5.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3962957 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from bga?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 2:03 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -50*i**3 + 2*i**2 + i. Is u(-1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - n**2 - 24*n**2 - 1 in the form p*n + y + z*n**2 and give z.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -4, 3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -16*x + 13. Let z(r) = 49*r - 40. Suppose 0 = -3*a - 2*a + 20. Let h(b) = a*z(b) + 11*v(b). Let n(f) = 7*f - 6. What is 6*h(i) - 17*n(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**2 + 5*c - 1. Let k be (1\/2)\/(4\/(160\/(-4))). Let j(a) = -4*a**2 + 5*a. Let g(v) = k*s(v) + 4*j(v). Calculate g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 173.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 4. Suppose o*d - 40 = -5*l, -d + 17 = -0*l + 3*l. Solve 0 = -3*j + l*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36 + -316)\/((-4)\/2). Solve 53*s - o - 178 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1)*(2 - 3). Let d = 29704 - 29706. Let r = -1 + 4. Sort n, 4, r, d.\nAnswer: d, n, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05099686 + 0.051. What is z rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338228608 a multiple of 835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921984785?\nAnswer: 5, 19, 23, 509, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 52. Let w be (-6)\/(-4 - -7 - z). Let o be w*(12\/(-9))\/4. Solve o = -4*t - 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*l**3*u + d*l*u**2 + 3*d + 3*l**3*u**2 - 2*l**3*u - 72*l**3 + l**2 + 4*u**2 wrt l?\nAnswer: 12*d*u + 18*u**2 - 12*u - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-1)\/(-3))\/((-2)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 5*g - 0*g - 3 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*8\/6. Suppose 0 = i*p - 0 - 4. Suppose a - 15 = -5*z + 6*a, 6 = z - 2*a. Solve 0*n + p*n = z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264536, 529085, 793634, 1058183, 1322732?\nAnswer: 1587281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen quarters of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394, 789, 1184, 1579, 1974, 2369?\nAnswer: 2764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717865.\nAnswer: 5, 143573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 5*z - 4. Suppose 6*b - 218 - 664 = 0. Let w = -152 + b. Let k(n) = n**2 + 5*n + 4. Let u be k(w). Determine t(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 6*c - 6 - 24 - 4 + 5.\nAnswer: -6*c - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34773\/22 - -1581. Put w, -1\/3, -0.3 in ascending order.\nAnswer: -1\/3, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5572449 micrograms in kilograms?\nAnswer: 0.0000000005572449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3531504 + -10?\nAnswer: 3531454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnnnnlnlnnlnllllnl. Give prob of sequence lnnn.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128151 + -128154.99932. Let i = 4 + d. What is i rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/3 - 56*d\/3 + 52\/3.\nAnswer: 4*(d - 13)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (530 - 50 - 1)*(4 + 0 - 2)*(2*d**3 - 2*d**3 + 2*d**3).\nAnswer: 1916*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -6 + (6 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0656707589 rounded to three decimal places?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 108*f = -684 + 2964 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*s + 90489 = 25055, 16353 = j + 4*s. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from {j: 2, d: 2, b: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31143220 - 3023?\nAnswer: -31201243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1620)*-3 - sqrt(1620)))**2 - (-5*sqrt(2940) - sqrt(2940))\/sqrt(12)*-3.\nAnswer: 162*sqrt(5) + 25924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 2*u - 9. Give j(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 6, 41, 18, -4 in decreasing order.\nAnswer: 41, 18, 6, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 5*d - 8. Let j = d + -27. Calculate the remainder when 15 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 92 = 17. Let w(k) = k**2 + 2*k - 3. Let h(y) = -2*y - 1. Let g(a) = l*h(a) + w(a). Determine g(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25669 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6775\/(-1084)*(-2)\/10?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 + -81. Suppose j*q - 3647 = 7969. Is 34 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 21 = 4*q + 167, -q - 56 = -3*h. Let l be 22\/6 - q\/(-66). Let p = l + 13. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-8 - -2)\/((-2)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21 + 7)*(-5)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*k*q*w - 6*k*w + 2*q*w - 4742786*q + 43*w + 39880 wrt q?\nAnswer: -10*k*w + 2*w - 4742786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -783*z + 1878 = -2037 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69437065?\nAnswer: 5, 743, 18691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(525)\/sqrt(7) + sqrt(3) + sqrt(3)) - (sqrt(3)*1 - sqrt(3))*3)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 214 - 207. Suppose 5*t - z*t - 1372 = -2*d, -t = 3. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + y + 147 - 47, y = 4*w - 397. Suppose -33*o + 0*o + w = 0. Solve 0 = -3*j - 15 + o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**4 + 9*b - 1 - 2*b**3 - 9*b - 2*b**2 - 1 as g*b + n*b**3 + w*b**2 + q + r*b**4 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 10*y. Give v(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56127\/23 + -2441. Is 0 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*u + 178 + 223*u**2 - 109*u**2 - 112*u**2 + 1086 + 255*u.\nAnswer: 2*u**2 + 5*u + 1264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 443983*j**3*z**4 - 6*j**3*z + 132*j*z + 102 wrt z?\nAnswer: 5327796*j**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2524 + 2521. What is the nearest to -2 in 0.04, -15, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14844 is divided by 323?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -33*(-7469)\/42*(3 + 1). Let b be -5 + (-26)\/(-6) + n\/(-6). Let v = -2274 - b. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s + 5176 = -4*m, -4*m = 4*s + 5144. Let n = m + 2734. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + u + 2. Let k be d(2). Suppose 2*o = k, 2*o + 25 = 2*y - y. Suppose 8 = 3*c - 7. Solve y = -4*s + c, 36 = -4*x - 4*s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 - 11*q**2 - 66*q + 215. Determine u(7).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-seven halves of a kilometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 - 3*h**2 + 2 - 3*h**2 + 1 in the form d*h**2 + y*h + o and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160 + 160. What is the second derivative of 9*x + 2*x**4 + x + y*x + 1 + 10*x**4 wrt x?\nAnswer: 144*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2390592973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32504, 64992, 97480, 129968?\n\"Answer: 32488*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/5 + 213*s**2 + 1062*s\/5.\nAnswer: 3*s*(s + 1)*(s + 354)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15088 (b) -0.3 (c) 32 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s**2\/9 + 15268*s\/9 + 38120\/9 = 0. Calculate s.\nAnswer: -1906, -5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1900)*-2 - (sqrt(1900) + -1 + 1 + sqrt(1900))) + -6*2*sqrt(1900) + 1*(sqrt(1900) - (sqrt(1900) - (0 + sqrt(1900)))))**2.\nAnswer: 900*sqrt(19) + 427509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/8)*l)\/l)\/l*l*l*l*l*(l\/(l*l**(-20)))\/l*l*(l**(-1\/15)*l)\/l*((l**3*l)\/l)\/l assuming l is positive.\nAnswer: l**(3127\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**4 - 9820*k**3 - 108495*k**2 - 256670*k - 158000 = 0?\nAnswer: -8, -2, -1, 1975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -3) + -17 - (5 - 4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48512 is divided by 287.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.039+-808265\nAnswer: -808266.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.922 + 2.4. Round o to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39838000 rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 983*i + 21*i - 159*i + 92105 for i.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 840299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 25*d**2 + 45*d - 23. Let m be b(-23). Let w(i) be the third derivative of 1\/60*i**5 - 2*i**2 - 1\/4*i**4 + 0 + m*i + 5\/6*i**3. Determine w(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.144828.\nAnswer: 0.72414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**6\/120 - y**4\/24 - y**2. Factor l(j).\nAnswer: j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4031956*x**3 - 476099*x**2?\nAnswer: 24191736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -190, -382, -574, -766?\n\"Answer: -192*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**2 + 12*b**2 + 3*b**2.\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12962 + 39878. List the prime factors of a.\nAnswer: 2, 3, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1538?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*m - 3*y, -2*y + 3 = 3*m. Let o(c) = -m - 5*c + 2*c + c + 5. Calculate o(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + m**2 + 3*m**2. Let q(a) = 25*a - 7. Let s(i) = -72*i + 20. Let o(t) = 20*q(t) + 7*s(t). Give o(v(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 373741 at least as big as 2989917\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 0.9, 1\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -4 (c) -1\/5 (d) 2.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -3376?\nAnswer: 6752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8903*k**3 - 2*k**2 + 31743 wrt k.\nAnswer: -26709*k**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 3. Suppose -4*v = -4*k - 12, -5*v + 14 = -11. Suppose -k*d = -7*d + 25. List the prime factors of z(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-34)\/663 - (-24)\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d**3 + 4202*d**2 - 4202*d**2 - 7*d in the form z*d**2 + p*d**3 + k + u*d and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*i**2 - 5 - 19*i**2 - 56)*(2*i - 3*i + 3*i) in the form o*i**3 + x + s*i + a*i**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 150 + -3. Suppose 3*b = 4*j - r, 2*j + 2*b - 122 = -2*j. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*d - 20 = -c, 4*c + 20 = 5*d. Let t be (-2)\/(1 - 0)*-1. Suppose 3*q - 2*b + 0 = 23, 4*b + 21 = q. Solve c = -7*k + t*k - q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7671 + -7056. What is the smallest common multiple of 15 and t?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -431 divided by 5.\nAnswer: -431\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*i - 18. Suppose 75 = 4*f + 3*j, 5*f - 78 = i*j + 39. Let l(t) = -t**2 + 8*t - 4. What is the remainder when f is divided by l(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-85)\/(-51)*(1 + 2). Solve 3*q - y = 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 14*x + 71. Let w = 4749 + -4741. Let j(p) = 5*p + 24. Calculate w*j(t) - 3*c(t).\nAnswer: -2*t - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/6, 0.5, -1\/5, -4, 1\/3, -143, -2447?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -21.\nAnswer: -21, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5 + 0*c**2 + 2\/5*c**3 + 1\/5*c**4 - 2\/5*c.\nAnswer: (c - 1)*(c + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 150849, 301527, 452205, 602883, 753561?\n\"Answer: 150678*v + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0, 919, -0.4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 11:27 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 98*n**3 + 6208*n**2\/7 + 5794*n\/7 + 272\/7 = 0. What is n?\nAnswer: -8, -1, -17\/343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20340497 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -36.8. Let v = -2.57963938 + 13.37964608. Let c = f - v. What is c rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 723997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + sqrt(288) + sqrt(2))*4 - (-3 + -1 + (2*sqrt(162))**2).\nAnswer: -648 + 52*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -97*o - 4. Let v(t) = -t. What is l(v(j))?\nAnswer: 97*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 34030424.\nAnswer: -17015212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d**3 - 4*d**2 + 4*d + 6. Let k(x) = -5*x**3 - 3*x**2 + 3*x + 5. Let v(s) = s**2 - 7. Let w be v(4). Let b be 1\/2*(-15 + w). Give b*y(t) + 4*k(t).\nAnswer: -2*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.043? (a) 0.2 (b) -2\/13 (c) 1\/22 (d) -5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + m + 28. Give t(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94795747, -189591486, -284387221, -379182952, -473978679, -568774402?\nAnswer: -663570121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -41036 divided by 38\nAnswer: -20518\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106968*j**3 + 213936*j**3 - 106963*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 385675523?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 462*j - 1131. Calculate m(3).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j - 5. Let a be w(-2). Let f be 2\/4*(a - 4 - -13). Let r(d) = d**2 - 4*d - 4. Let b be r(6). Which is greater: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -225, -688, -1151, -1614, -2077?\n\"Answer: -463*l + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 430879 to the power of 1\/2, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*g**2 + 26*g**2 + 13023*g - 26223*g + 13200*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0 - 16 = 0. Suppose -3 = t - 6. What is the least common multiple of f and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 61. Let y(c) = 14*c + 13*c + u - 24*c. Let t be y(0). Solve 0 = -6*l + l + t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/129 and 37\/99.\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 > -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 q when two letters picked without replacement from xxxxoxqxxqxoxqoxoxxx.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -10*y**2 + 43*y + 1921. Let z(t) = 2*t**2 - 8*t - 387. Determine -2*j(m) - 11*z(m).\nAnswer: -2*m**2 + 2*m + 415","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -97 - ((-32 - (-3 + 5 + (6 - 17))) + 10)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 0) + 3 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a - -d10?\nAnswer: d3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/208*-24*4*1\/21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 460, 904, 1328, 1732, 2116?\nAnswer: 2480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 2, 0.3 in decreasing order.\nAnswer: 2, 4\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 25*j**3 + 3*j**2 - 4*j + 2. Let n be i(1). Let v = 37 - n. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 42. Suppose -10 = 3*j - 5*x, -j = 4*j - 3*x + 6. Suppose 4*a - 46 = -3*u - 11, j = -2*u - a + y. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + ((-15 - -6) + 16 - (8 + 2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 1. Suppose -c*p = -72 - 118. Let v = 53 - 40. What is the remainder when p is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14427662149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 70014316 to the power of 1\/2, to the nearest integer?\nAnswer: 8367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1368226, -1368217, -1368202, -1368181, -1368154, -1368121, -1368082?\nAnswer: -1368037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2186, -4260, -6336, -8414, -10494, -12576?\n\"Answer: -v**2 - 2071*v - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/20 + (13059\/90 - 2).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -5*s**3\/6 - s. Let q(t) be the third derivative of -t**5\/30 + t**2. Give y(q(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/27, 0.9, 5, -1\/7.\nAnswer: -1\/7, 1\/27, 0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2*3\/24). Let i = 221\/126 + -29\/18. What is the nearest to -2\/3 in -3, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-240)\/(-200))\/((-4)\/(-30))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0707 + -0.0293. What is the closest to f in -0.1, -4, -0.63, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.027*-7.4\nAnswer: 0.1998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1214*w - 662*w**2 + 3225*w**2 + 4471*w**2 - 41*w**2 - 2 + 5 wrt w?\nAnswer: 13986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12, 42, 88, 156, 252, 382, 552?\n\"Answer: o**3 + 2*o**2 + 17*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2842272 and 177642.\nAnswer: 2842272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, j: 2}. What is prob of picking 2 c?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**2 + j - 3. Let y = -18456 + 18460. Give i(y).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 79470 = -7*f. Let q be f\/(-21) + 14\/(-49). Suppose -148 - q = -4*o. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237, -242, -247, -252?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118\/3 + 40. Factor -1\/3*x**3 - v*x + 0 + x**2.\nAnswer: -x*(x - 2)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 89, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3) + -10 + (12 - 23)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**2 - 25*v - v**3 - 2*v**2 - 16*v - 11 + 38*v. Let g be p(-6). Let u(t) = t - 2. Let j(f) = -f + 5. Determine g*u(o) + 3*j(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**7\/42 + l**6\/6 - 9*l**5\/20 + 7*l**4\/12 - l**3\/3 + 9*l. Suppose c(u) = 0. What is u?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*500\/1800?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -499 less than -4997\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 67620.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 19 - 94 - 24)*(30*a - 12 - 17*a - 14*a).\nAnswer: 150*a + 1800","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + 3 + (-2 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.554084737 rounded to 4 decimal places?\nAnswer: -0.5541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 376, -3, 5, -12 in decreasing order.\nAnswer: 376, 5, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 160d - 40?\nAnswer: 15bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 17. Let z(s) = -2*s**2 + 1. What is z(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-4) + 3 + 242. Let o = -226 + a. Calculate the smallest common multiple of o and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 - ((-11 - (18 + -5)) + (50 - 26)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370036, -1480693, -3331788, -5923321?\nAnswer: -9255292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 j when three letters picked without replacement from {j: 3, v: 4, w: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 10363194?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 3. Let v(x) = x**2 - x. Let j(f) be the first derivative of -2*f**3 + 3*f**2\/2 + 2*f + 260. What is i*j(w) + 3*v(w)?\nAnswer: -3*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.6 + -22.6. Let j = -20 - w. Let k = -5.34 + 0.34. What is the nearest to -0.2 in 7, k, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.1809303 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62642621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123101312 (base 4) to base 14.\nAnswer: -2ca10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, q: 3, u: 2, l: 4, e: 6}. Give prob of sequence eehe.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1214366576 and 1039.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11, -34, -69, -122, -199?\n\"Answer: -x**3 - 16*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 2:34 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4534, 5906, 4126, -800, -8866, -20066, -34394, -51844?\n\"Answer: k**3 - 1582*k**2 + 6111*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 1, e: 1, h: 4, q: 8, a: 1}. What is prob of sequence dh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 370467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 6*i**2 + 6*i. Calculate b(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126199337?\nAnswer: 11, 11472667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/1144 and 75\/964678?\nAnswer: 3858712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 28 = -14. Calculate the greatest common divisor of 56 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 522, -0.4, -0.06, 1\/9?\nAnswer: 522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 less than -33909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4433986*u**4 + 249736*u + 1 wrt u?\nAnswer: 53207832*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -17932.2.\nAnswer: 17931.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p - 26 - 58 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 11:13 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 527.9 - 504.57. Let m = 22.4 - u. Let p = m + -0.07. Which is the nearest to p? (a) -1\/2 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 18*b**2 - 13*b - 45. What is the hundreds digit of a(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*u - 385 = 0, 4*u - u - 15 = 0. Suppose -2*v + 3*o + 38 = 0, 0*v + 4*o + j = 4*v. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*m + 6 = -57*m. Suppose -55 = m*s - 1393. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25, -79, -229, -523, -1009, -1735, -2749, -4099?\n\"Answer: -8*v**3 + 2*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 + a**3 + 7 - 4*a**2 - 17 + 2*a**4 + 9 to d*a**2 + w*a**3 + z + j*a**4 + i*a and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 1. Let h be r(5). Let a = 4 + h. Factor 1\/2*b**2 + a*b - 1\/2.\nAnswer: (b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c + 4. Determine w(-7).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 6*n. Let f be q(-6). Suppose 2*s - s - 3 = f. Suppose 2*t - 14 - 2 = 4*l, s*t + 12 = -3*l. Solve 2*h = -t*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/54633228 and 69\/100160918?\nAnswer: 600965508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbt when three letters picked without replacement from qtbtqqlbttblbbt.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*f - 23*f + 1624. Let g = f + -572. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 401.6452mm?\nAnswer: 401645200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y. Let c(p) = 30*p + 33*p - 64*p. What is c(k(s))?\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7979621*l*w*y**2 - 13109*l + 3*w*y**2 + 239*w wrt y?\nAnswer: -15959242*l*w*y + 6*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3555220 (base 6) to base 11.\nAnswer: 118129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus 17?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, i: 2, j: 2, c: 3, w: 8, a: 1}. Give prob of sequence jc.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5528 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 221*x**2 + 3*x + 2. Let w be y(3). What is w rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32, 61, 100, 155, 232?\n\"Answer: y**3 - y**2 + 25*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*s**3 + 17*s**3 + 516*s**2 - 523*s**2 - 5*s + 4*s - 34*s**4 to the form t + r*s**2 + d*s**3 + o*s + n*s**4 and give n.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3 - 2977651*d - 2 + 5 - 372346*d. Let g be j(-2). What is g rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**4\/12 + w**3 - 4*w**2 + 2332*w. Determine h(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 22. Determine d(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9*c**4 - 13*c - 62. Let a(y) = -26*y**4 - 38*y - 188. Let k(u) = -6*a(u) + 17*r(u). Differentiate k(p) wrt p.\nAnswer: 12*p**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82263366.3074 minus 76?\nAnswer: 82263290.3074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 47 - (-3)\/(2\/(-2 - 0)). Suppose o*f - 71*f = -2700. What is the highest common factor of f and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 1. Let t be w(0). Suppose t = 5*n - 6*n. Let z = n + 3. Solve -5*y + h = -4, -y - 2*y + z*h = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from {k: 1, i: 1, v: 1, z: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**2 - 2*r**3 + r**2)*(-14 - 55 - 9) + (2*r + 2*r - 2*r)*(r**2 - 3*r**2 + r**2) to the form i*r**3 + z*r + o*r**2 + m and give i.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 1:00 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 162*n**2 - 3061*n.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 6:57 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 5*t - 4. Let x(f) = -f**2 - 10*f + 16. Let r be x(-11). Determine l(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from zxxzzczzyxczccxyk.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3505*u + 145842 + 170605 + 30978 - 42490 = 0 for u.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3))**(-2\/9)*(m*m*m**(-5)*m)\/(m*m**(-4)\/m*m) assuming m is positive.\nAnswer: m**(25\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**4 + 0*x**4 - 5*x**4)*(11*x - 2*x - 3*x).\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -40004?\nAnswer: -40024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23186497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30261081 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 13 = -11. Let u(h) = -h**2 + 8*h + 5. Let q be u(w). Is 3 a factor of (q - 1)*(-105)\/(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 159, -5, 3\/7, -32, -0.4, 381.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 10 + 6 + 13*n**2 as p*n + f*n**2 + d and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 8. Let q be f(4). Let i(o) = -2*o + 54. Let x be i(25). Let z(p) = q*p + 0*p - x*p + p. Let j(u) = -11*u. Determine z(j(b)).\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 16, -h + 2 = 6*q - 3*q. Let x be (-328)\/(-28) + (-2)\/(-7). Solve 5*o + k = x, -5*o + 14 = -q*k + 4*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3*q**3 + 2*q - 704*q**2 - 2012*q**2 - q**3.\nAnswer: 2*q**3 - 2716*q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1963062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23313195 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31023312 (base 4) to base 9.\nAnswer: -82066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 5*h**2 + 8*h - 9. Let g be v(-5). Let x = g - -49. Suppose 5*i - 160 = 2*d - 5*d, x = -5*d + i + 304. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*g = 16, 0 = 3*a - 2*a - 2*g - 5. Let v be (a + 1)*(-1)\/4*4. Is 1\/(-3 - v)*-3*1061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27 - 31) + 9\/2. What is the third smallest value in 0, m, 5, -10\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 27*b**2. Let m(l) be the third derivative of -71*l**4\/12 + l**3\/6 - 4*l**2 - 105*l. Calculate m(p(z)).\nAnswer: -3834*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 + 10*r - 3. Let o be g(7). What is o rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/(4\/((-36)\/3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/25 (b) 1 (c) 0.048 (d) 0.4 (e) -3 (f) 7 (g) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96953, -386649, -869475, -1545431, -2414517, -3476733?\nAnswer: -4732079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7a - -b6d?\nAnswer: c09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 71197*k = -71194*k + 10, 8*k = q - 11*k + 18*k - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f**2 + 0*f**2 - 3*f**2 - 4*f + f**3 + 0 - 4. Let m be l(-3). Solve -a = a - m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:44 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18950, -38091, -57232?\nAnswer: -76373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 15, -20 = -5*g + 4*g + 5*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132274566 to the nearest integer?\nAnswer: 11501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 - -0.42. Let m = -8.353 - -8.653. Put m, a, -7\/5, 2 in decreasing order.\nAnswer: 2, a, m, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 266 = -5*w, 2*w - u = -3*u + 92. Suppose -12 = 2*h - w. Let v(a) = -3*a + 10. Let q be v(2). Solve -h + q = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -111. Let y = k - -85. Suppose 5*v - 171 = y*f, -5*f = 3*v - 121 + 11. Which is bigger: 37 or v?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(6\/5)\/j**(4\/3)*(j**(1\/5))**(-48) assuming j is positive.\nAnswer: j**(-146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 11. Let o be j(-7). Let t be o\/(-5) + 237\/15. Solve 3*n = t, 1 = -5*d - 5*n + 46 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27293 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y, -y = 7*n - 2*n + 1055. Let a = -53 + n. Let l be (-10)\/15*a\/2. What is the greatest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.00038 - 0.60462. Round d to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*i = 2*i - 23*i + 855 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 32. Suppose 7*v - z = 7. Let l be 5\/(-20) + (-66)\/(-8) + -3. Solve 0 = v*f - 1 + l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9883332 is divided by 10837?\nAnswer: 10825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80, 84, 106, 158, 252?\n\"Answer: 2*u**3 - 3*u**2 - u + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 2 - (-12)\/(-9). What is the second smallest value in 1, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244410 (base 11) in base 9?\nAnswer: -648137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2 = -4*i, 2*o = 7*i - 31 + 27 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1 (c) -6012 (d) -1\/6 (e) -3 (f) 0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x. Let i(k) be the second derivative of 1\/6*k**4 + 0*k**3 + 0 - 2*k + 0*k**2. Determine i(d(u)).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 218490913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135079?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 237449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 8:28 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 52. Suppose -n - 1 = c. What is the nearest to 1 in 0.4, -5, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 20. Let o be c(13). Calculate the greatest common divisor of o and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from ppfpfpfffffppppp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6854, -63, 2, -4 in descending order.\nAnswer: 6854, 2, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 550408864 and 4726?\nAnswer: 4726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 786485 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/8 and 34\/31.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f - 5*f - f)*(-3 + 1 + 0 + (-2 - 3 + 3)*(-1 - 4 + 3)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15 + 3)*(-1)\/(-2). Let b(t) = -t**3 + 10*t**2 - 8*t - 4. Let a be b(r). Suppose -x + a*p + 97 = p, 2*p = x - 91. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, m: 3, u: 4, j: 6}. Give prob of picking 1 t and 1 m.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-35) - (214\/(-14) - 0). What is the derivative of 2*c**3 - s*c**2 - 23 + 78*c**2 + 1 + 0 wrt c?\nAnswer: 6*c**2 + 126*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -537243*z**3 - 796823?\nAnswer: -1611729*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*o + 2*o = -79, -3*o + 158 = 2*r. Let u = r - 24. Is 3*((u - 4) + -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44472 and 545?\nAnswer: 222360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b + 8. Let t be m(-6). Suppose -t = -3*x + 2*x. What is the highest common factor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {j: 3, h: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 240775 - 602?\nAnswer: 240173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 39 + 75*s + 65*s.\nAnswer: 140*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 17 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/63648 and -23\/103491648.\nAnswer: 103491648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3 = -j + 12, -3 = n + 3*j. What is the closest to -1 in 0.8, n, 3\/8, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1))\/g)**0\/(g**(-3\/5)\/g*g\/(g**(-7)\/g)*g)*(g**(-2\/5)\/g)\/g**(-3)*(g**(-1))**(-4\/21) assuming g is positive.\nAnswer: g**(-694\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 5:20 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/11))**(2\/49))**33 assuming p is positive.\nAnswer: p**(-12\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1474180 by 294836.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**2 - 23*k wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 73, -6, 5 in descending order.\nAnswer: 73, 5, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2240 - -2245. Solve -q*l - 2*r + 30 = 0, -l - l = -3*r + 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 98900757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -36. Suppose p*b - 66 = 12*b. Suppose -3*d + b - 7 = 0. Solve -d*m - 2 = -12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111668 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 513 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 3*y**2 + (74 - 74 + 73*y)*(6 - 12*y - 6) as a*y**2 + t + d*y and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - p**2)*(0*p + p + p) - 61*p**2 + 13*p**3 + 32*p**2 + 2 + 31*p**2.\nAnswer: 11*p**3 + 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1848 and 26229.\nAnswer: 2308152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -99 - (5 + -3) - -1. Let u = j - -144. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.526 and -125.6?\nAnswer: 124.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/5 - (0 + 5). Let x be 3 - f - 3*(-6)\/(-27). Which is the second smallest value? (a) x (b) 19\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/54944010 and -17\/265430.\nAnswer: 54944010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4980280, 4980281, 4980282?\n\"Answer: k + 4980279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -111000?\nAnswer: -111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1066 + 1100. Is t > 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 632 divided by 1539.\nAnswer: 632\/1539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -57, 1 in increasing order.\nAnswer: -57, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**5 + l**5 - 2*l**5)*((-59 + 39 + 41)*(-3 - 5 + 2) + 4 + 0 - 3) + 4*l**4 - 4*l**4 - 2*l**5.\nAnswer: 123*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/(-68) - 2748\/(-7786)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 3. Let w(s) be the second derivative of s**3\/6 + s**2 + 2*s. Calculate 4*r(k) - 5*w(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6 + (-40)\/(-30). Let b = -20 + 29. Suppose -b*h - z = -7*h. Which is smaller: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, -25, -59, -117, -205, -329, -495, -709?\n\"Answer: -w**3 - 3*w**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2322 - 2628 = -18*d for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/19684339 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23832422 less than 0.147?\nAnswer: -23832421.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**3 + 0*z**3 + 0*z**3)*(1 - 2 + 0) + (2*z + z - z)*(-z**2 - 5*z + 5*z) in the form w*z**3 + c + v*z + l*z**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3186)\/(-81))\/((-1)\/(-3) + -1). Let g = -71 - f. Is (2 - 3)\/((g\/(-3))\/(-5164)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129387194, -258774390, -388161586, -517548782, -646935978?\nAnswer: -776323174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**2 + 1. Let p be z(-1). Let t(c) = -c**2 - 5*c + 7. What is t(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -629100 divided by 450\nAnswer: -1398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 129336 and 17.\nAnswer: 2198712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -3) + 1 + (-4 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/7)\/((-2)\/14). Let u be (-4 - (1 - q)) + 29. What is the greatest common factor of u and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.49 - -86.51. Let v = q - 90. What is the nearest to 8 in -3, v, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 2*c**2 - c**2)*(-c**2 - c**2 + c**2) - c + 9*c**2 - 5*c**2 + 0*c**2 - 6*c**4 - 2 + 10 - 6 + 18*c**4.\nAnswer: 14*c**4 + 4*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(2*l - 3*l + 3*l) + 3 - 6*l - 3 + 3*l + l - 6*l + 4*l - 2*l - 3*l.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - t**2 - t. Let d(o) = 6*o**3 + 3*o**2 + 13*o - 5. Let h(j) = 3*j**3 + 2*j**2 + 6*j - 2. Let y(m) = -2*d(m) + 5*h(m). What is 4*f(q) + y(q)?\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/17 (b) -0.4 (c) 0 (d) 2\/657\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -224, -464, -720, -992?\n\"Answer: -8*n**2 - 216*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 - (-7 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 8. Let j be x(6). Suppose -5*w = -d - 3, 6*d - j*w = d + 8. Calculate the lowest common multiple of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 l when three letters picked without replacement from {l: 1, r: 4, h: 2, q: 3, w: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 plus -7.945687?\nAnswer: -10.245687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 217314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j**2 - 4*j - 4. Let p(o) = -14*o - 27 + 6 + 0*o**2 - o**2. Let s be p(-12). Let y(i) = 9*i**2 + 3*i + 3. Determine s*a(n) + 4*y(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57306 * -0.2.\nAnswer: 11461.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200)*1*-3)\/(sqrt(32)\/((sqrt(8) - -2*sqrt(8))*-1)) + -3.\nAnswer: -3 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/12*(-62)\/19840*48.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1206 < -80797\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249758.\nAnswer: 2, 47, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(14\/(-3)))\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (544*k + 169192 - 169192)*(2 + 3 - 6).\nAnswer: -544*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 27. Suppose -4*m + 215 = -f, 3 = -f - v. What are the prime factors of m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 > -174425.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.169 - -0.069. Let q = -0.1 - -0.1. Let y = q + d. Are 9 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5015 - -5724. Which is greater: l or 711?\nAnswer: 711","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 594566 - 342766. What is i rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/71, -2\/9 in decreasing order.\nAnswer: 3, 2\/71, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, 43, 1\/7, -13, 0.5.\nAnswer: -13, -9, 1\/7, 0.5, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/24)\/(((-6)\/(-3))\/568). Let k = z - 205. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n - 1062 = 10*n. Let h = n + 155. What are the prime factors of h?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 = -4*o + 5*g, -g = 3*o - 10. Suppose 64 = 2*d + o*d. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-12))\/(4\/6). Suppose -j = m + 4. Let y(n) = -7 - 4*n + 0*n - 6*n**2 - 3*n - n**3. Give y(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28863836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -76825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 0*z - 10*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*7\/168*60. Solve 12*y + a = 9*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -37. Suppose -4*o + 13 + w = 0. Let u = -254 - -251. Put o, u, -5 in decreasing order.\nAnswer: o, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j - 18*j + 318429 = -30*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -30*i**2 - 18*i + 2. Let u(o) = 3*o. Calculate n(u(x)).\nAnswer: -270*x**2 - 54*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, s: 1, p: 5, a: 9, v: 1}. What is prob of sequence ppvp?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -10. Let m = g - -28.922. Round m to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o. Let l be 168\/(-36) - (-2)\/(-6). Let m(g) = g**2 + 5*g. What is l*s(r) + m(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 13 - 19 = 2*t, -2*t - 9*w - 16 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 - 1056*r - 47 - 9 + 102 as s*r + v and give s.\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 3*b - 2. Let m = 82 - 78. Suppose -5 = -y + h, -4*h - 21 = -m*y - h. Suppose f - y + 11 = 0. Give r(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - -133. Let m(h) = 2*h - 6. Let c(a) = 1. Let p(s) = -c(s) - m(s). Let q be p(-6). What is the highest common divisor of x and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - z + 1. Let m(a) be the second derivative of -17*a**5\/20 - a**4\/2 - a**3 + 3*a**2 + 3*a + 327. Give m(l) - 6*p(l).\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/3 (b) 0 (c) 0.09 (d) -4 (e) -35908\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 5:59 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -922407*d**3 - 1228*d**2 - 1624*d wrt d.\nAnswer: -5534442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w + 28. Let i be d(-13). Solve i*l - 3*l + 5 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/18*9\/3. Let n(j) be the first derivative of -2*j - 1 + 2\/3*j**3 - j**2 + l*j**4. Factor n(w).\nAnswer: 2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v*v*v**(-1\/4))*v)*v**4)**(-38\/5) assuming v is positive.\nAnswer: v**(-437\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3 - 6. Let j(o) = -5*o - 8. What are the prime factors of j(y)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1705, -6808, -15307, -27202, -42493, -61180?\nAnswer: -83263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 120*f**3 + 5*f**2 + 11*f - 12. What is the tens digit of d(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11012 + 42507. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (0\/1)\/1. Let w(k) = 2*k**2 + 3*k + 3. Let j(d) = d**2 + 2*d + 2. Let l(m) = o*w(m) + 6*j(m). Let q(z) = -4*z**2 - 1 + 1. Calculate l(q(b)).\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 528282*z + 17. Give l(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*y = -5*y - 294. What is the greatest common factor of y and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r + 24. Calculate the remainder when 336\/10*(-555)\/(-777) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427709 (base 11) in base 8?\nAnswer: 11273264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 343.62678 to the nearest integer.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 10:11 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n - 21 = -12*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3588*r - 1601*r**2 + 1604*r**2 - 186104 + 1258916.\nAnswer: 3*(r + 598)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 382*k**3 + 16*k**2 - 29*k + 37. Suppose 29*a = 25*a - 84. Let x be j(a). Round x to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -1.8559.\nAnswer: -2.2559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(5\/3)*v*v*v**(-7\/4)*v*v)**41)**(-5\/8))**(8\/9) assuming v is positive.\nAnswer: v**(-9635\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -3*r - 47, -151*r - 61 = 2*x - 148*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 72?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cblj when four letters picked without replacement from jbcdl.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2*(0 + 1 + sqrt(448)))**2 + -2)*4.\nAnswer: 512*sqrt(7) + 7224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 292 divided by 292\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmbrbrbceococmbooce. Give prob of sequence bbme.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 134, 40 in decreasing order.\nAnswer: 134, 40, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2576881491 to the power of 1\/4, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 c when four letters picked without replacement from {k: 7, c: 4}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*7\/((-21)\/6). Suppose -u*t = 2*k - 38, 0*k + 61 = 3*k + 2*t. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 3:48 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*s*u**3*z - s*u**3 - 2*s*u**2*z + 59*s*u**2 + u**3*z - u**3 with respect to z.\nAnswer: 5*s*u**3 - 2*s*u**2 + u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/4)\/(d*d**(-19)*d*d)*(d**(-5)*d*d)**25 assuming d is positive.\nAnswer: d**(-233\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29806 + -29734. What is the biggest value in 3, -0.3, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 + 381*q + 3183. Calculate m(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*h, 9*h - 4*h - 15 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71379743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -1.1, -2\/9, -0.5, -5, -3, 4034?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24122 plus -0.11?\nAnswer: -24122.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/207 and -41\/2070.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 1362662383*s + 2*s**3 + 5*s**2 + 1362662383*s.\nAnswer: 4*s**3 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012213 rounded to 7 dps?\nAnswer: -0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -2 (b) 1 (c) -97\/16 (d) -5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*a + 0*a**2 + 144*a**6 - 18*a - 13*a**2 - 5*a**2 wrt a?\nAnswer: 17280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45.3275 + 45.2. Round f to 3 decimal places.\nAnswer: -0.128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -209633, -418818, -628003, -837188?\n\"Answer: -209185*b - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 156.7959 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in -40, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 i when three letters picked without replacement from {e: 4, i: 3, a: 3, u: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079652 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: Calculate the remainder when 28119 is divided by 190.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28675 divided by -2.\nAnswer: -28675\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/4 - 664659*k\/2.\nAnswer: 3*k*(k - 443106)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1544*k**3*l**3 - k**3*l*n**2 + 3*k**3 + 26*k**2*l**3*n**2 - k**2*l**2*n**2 + 535*k*l**2*n**2 + l**2*n**2 wrt l.\nAnswer: 9264*k**3 + 156*k**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -401 (base 10) to base 14\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/159838514 and 45\/7265387.\nAnswer: 159838514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-955)\/(-20) + 9\/(-12). Let r = -45 + j. Suppose 163 = 5*b + r*c, 2*b = 5*c + 27 + 15. What is the greatest common divisor of 124 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 3*l + 2. Let m be x(3). Suppose m*s = -2*s - 64. Let b = 133 - s. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3300770 by -10.\nAnswer: -330077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 30594, -5.\nAnswer: -15, -5, 30594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3479066470819\/4056 + -857758000. Let v = 1\/1014 - x. What is the common denominator of ((-14)\/10 + 1)*-31 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*1 - (-2)\/1. Let n(c) = -c**2 - c + 4*c**2 - 6*c**3 - 4*c**2 - 232 + 231. Let x be n(m). Are 5 and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + z**2 + 7*z**2 - 8*z**2 - 5 to the form c*z**2 + h + y*z and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r + 47 - 11. Suppose 2*h - r*m = 2*m + 33, -22 = -3*h + 2*m. Suppose 4*j = 3*z + 2*z + 644, 0 = h*j - 3*z - 644. Does 36 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1331, -1324, -1315, -1304, -1291?\n\"Answer: k**2 + 4*k - 1336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q - 8 = 0. Let p(t) = 8*t + 1 + 10*t**q + 4 + t**3 - 6*t**2 + 6*t**2. Calculate the remainder when p(-6) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4 - 5 = 7*l, 5*g = 3*l - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 730078 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)\/(f**(2\/3)\/f))\/(f**(-3))**1 assuming f is positive.\nAnswer: f**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, k: 1, u: 3, r: 4, j: 1}. What is prob of sequence ru?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -67, -64, -59, -52, -43, -32?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 363*n**2 - 132*n + 3. Calculate h(1).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 571*b**2 - 124*b - 70796. Give j(-571).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, -1, 11, 0 in descending order.\nAnswer: 11, 0, -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 213, 435, 659, 885, 1113?\n\"Answer: o**2 + 219*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 8:59 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4290 = 414*z - 1506 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8287.57 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2069 by 80742.\nAnswer: -2069\/80742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 33\/(9570\/(-1180)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*b + 143 = 0, -27 = -2*n - 5*b + 263. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 8*g - 6. Suppose -3*r + 16*r = -78. Calculate l(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3831 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 73109 = -5*p, -167*p = -170*p - 5*a + 43822. Is 109 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*j - 2*j, -3*z + 16 = -j. Solve -z = -4*g - 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00432551854 rounded to six dps?\nAnswer: 0.004326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 17\/2474365?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 101 - 101.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*l + 49, -z = 5*l - 95 - 35. Calculate the remainder when 215 is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-64 - -66) + (-1 - -1*1). Let k(l) = 29*l**2 - 13 - 10*l - 58*l**2 + 28*l**x. Give k(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 254794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5713 - 5707. Suppose 2*b - 6 = m + 3*m, 2*m + 6 = 0. Sort -5, k, b in increasing order.\nAnswer: -5, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71*8\/((-32)\/(-76)).\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**5\/150 - m**4\/10 - m**3\/3 + 54*m**2. Factor j(d).\nAnswer: -2*(d + 1)*(d + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 108\/26 - (-4)\/(-26). Suppose -l*g + 865 = -3*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26201 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -11, -28, -43, -50, -43, -16, 37?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)*-3*3)\/sqrt(5).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*((-5)\/3 - -2). Let w = -0.05 + 451.05. Let d = 450.8 - w. Sort c, 0.2, d in decreasing order.\nAnswer: 0.2, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*q**3 + 266*q**3 - 42577 + 42577.\nAnswer: 523*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*a**2 - 81*a**2 + 23*a**5)*(-43 + 18 + 12).\nAnswer: -299*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 6, v: 7, g: 3}. What is prob of sequence rc?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -27, -10, -2\/7, 4, -0.2, 0.3?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72696505 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/14 + 2\/(-7). Suppose 0*x + 17 = x - 5*f, u = -3*x - 5*f - 29. Let q be x\/(-6) + 6\/(-4). Are 1\/26 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 272\/5*s**3 - 86\/5 + 432\/5*s - 612\/5*s**2 - 6\/5*s**4 = 0.\nAnswer: 1\/3, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*5492.\nAnswer: 54920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -317.2 - -317.4. Let m(c) = c**3 - 4*c**2 + 2. Let l be m(4). Suppose i + l*i = 0. What is the closest to i in h, 2\/11, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -801, 2, 3, -1.\nAnswer: -801, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -43 and 286041?\nAnswer: 286084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/19)\/(w*(w*w*w**(1\/7))\/w) assuming w is positive.\nAnswer: w**(-271\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*7\/(-3)*-2. Let r = h - -2. Let o be (r\/18)\/((-1)\/9). Solve -o*f = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3692 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: In base 2, what is 10111010101011 + 1000111?\nAnswer: 10111011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (287\/123 - (0 + 2))*12. Determine d, given that 2\/5*d**i + 2\/5 + 8\/5*d + 8\/5*d**3 + 12\/5*d**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h = -30. Let w(n) be the third derivative of n**5\/30 + 7*n**4\/24 - n**3\/2 + 2*n**2. Is w(h) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -367 (b) 1 (c) 3\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -19*n**2 - n. Let r(h) = h**2 + 3*h - 1. Let p be r(-3). Let d be x(p). Suppose 5*q - 115 = 3*b + 2*b, -84 = 4*b - 2*q. Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 10*o**2 - 13*o - 17. Let j(g) = 9*g**2 - 13*g - 16. Let v(p) = -10*h(p) + 11*j(p). Determine v(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1580.\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 0*h**3 + 0*h**3 + (-1 + 1 - 2*h)*(-2*h**2 + 3*h**2 + h**2) - 2*h**3 - h**3 + 4*h**3)*(-4*h - 7*h + 5*h).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + 61. Let j be 5\/(-2)*(-56)\/v. Solve 0*x = 3*x - 3*r - 15, -2 = j*x + r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3 + 222*g**2 - 924*g + 936 = 0. What is g?\nAnswer: -78, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 + 6*u**2 + 31*u**3.\nAnswer: 31*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*sqrt(128))**2 + sqrt(128)*-3*1.\nAnswer: -24*sqrt(2) + 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -662, -2186, -5136, -9986?\nAnswer: -17210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -30, -5 in decreasing order.\nAnswer: -5, -28, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3, 3, 25.\nAnswer: -18, -3, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smsedto. Give prob of sequence tses.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 4*p - 37. Let c be (-4)\/(-6) - (-50)\/6. Let r be v(c). Let h(y) = y**2 + 1. Let m be h(2). Solve -z - m*j = -0*z + r, 3*z = 2*j + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 37*b**2 - 14*b + 72. Let j be m(-18). Solve -25 = -3*w + 4*c, 5*c + 5 = -5*w - j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, p: 2, e: 1, y: 2, c: 6, a: 3}. What is prob of sequence ppaa?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 855 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.337 + -0.337. Let l = 14 + -9. What is the third smallest value in l, w, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(28) + -2 + 4 + sqrt(84)\/sqrt(3) + (sqrt(315)*-2 + sqrt(315) + sqrt(35))\/sqrt(5)*4)**2.\nAnswer: -40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14479.\nAnswer: 14479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 818\/460255?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p*p**(-2\/7))\/p*p)\/p))**15)**(-2\/13) assuming p is positive.\nAnswer: p**(-270\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 35064.3502 to the nearest integer.\nAnswer: 35064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-234))\/((-830)\/(-664)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**7*g\/((g*(g*g\/(g**(1\/3)*g))\/g)\/g)*((g\/(g*g**5\/g))\/g)\/(g**3\/g)*((g\/g**(-1))**(-9\/7))**(3\/17) assuming g is positive.\nAnswer: g**(314\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3499764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = 3*n. Suppose 3*s + 95 = n*s. Suppose 3*c + j - s = -c, 0 = -c - 5*j. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -203*c**2 + 367473*c + 367676.\nAnswer: -(c + 1)*(203*c - 367676)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -188832 times 529.7?\nAnswer: -100024310.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.69 (b) 294 (c) 2 (d) 4 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, 3, 0.0162, -1, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/((-6)\/(-8)). Suppose 2*v = -0*v + 4*n + 24, -5*v + 5 = n. Is v less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((14\/13)\/7 + -1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 + 201. Calculate the common denominator of 65\/2 and 3\/9 + (-434)\/s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**2 - 36*a**2 + 10*a**2 + 14*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 16) to base 12.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 321 = -335. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20\/621 - 365368\/6831. Let h = x + 4561\/88. Calculate the common denominator of h and ((-12)\/8)\/((-3)\/(-95)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 19. Solve w = 5*p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 + 154*b + 604. Determine q(-47).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2232431?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12413517 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 85413555 to the power of 1\/2, to the nearest integer?\nAnswer: 9242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7598487 is divided by 1459.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 165495*s**2 + 1353824835*s - 258985134815.\nAnswer: 5*(s - 187)*(s + 16643)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 448736, 3589932, 12116044, 28719530, 56092848, 96928456?\n\"Answer: 448743*i**3 - 5*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*o - 2732 = -167 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10490294949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41750, -41156, -40172, -38798, -37034, -34880?\nAnswer: -32336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + -0.3. Let u = j - -0.2. Let k = -1660 + 1658. Which is the third smallest value? (a) u (b) 3 (c) -3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 3555\/7 (c) -4 (d) 1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 28781775 and 172690657\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 42 - 53 = 0. Let f = 19 + n. Sort f, -5, 3 in increasing order.\nAnswer: -5, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 544, 360, -150, -1154, -2820, -5316, -8810, -13470?\nAnswer: -19464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + z**2. Let v be ((-48)\/(-15) - 3) + 7\/(-35). Let x be q(v). Let 0 + 0*d - 2\/19*d**4 + 0*d**2 + x*d**3 = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -294593, -589183, -883785, -1178405, -1473049, -1767723, -2062433?\n\"Answer: -v**3 - 294583*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -8. Suppose 0 = -2*q + 49 - i. Let v = q + -1. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29753\/10 + 2981. Let u be (-2)\/(-8) - (-602)\/(-8). What is the common denominator of (10\/u)\/((-8)\/1390) and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.2123951 to three decimal places.\nAnswer: -4.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(3\/5)*x*x**(-8)\/x)\/(x**0)**(-35) assuming x is positive.\nAnswer: x**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -304 - -300. Let d be ((-17)\/2)\/(-17) - 312399998\/j. Round d to the nearest 1000000.\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, 10, 121, 338, 697, 1234?\nAnswer: 1985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0.07. Let o = f - 1.93. Let z = 14.02 - 14. Put z, o, -4 in decreasing order.\nAnswer: z, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) -1\/7 (b) 0.1 (c) -0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6 - (-4)\/6. Suppose 4*k + 12 = -5*v - 8, 5*k + g*v = -25. Let n = 8 + k. Solve -t = n - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 + 86.3. Let g = -1.5 - f. Let n = g - -4. Round n to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.06, 28, -31, -28 in ascending order.\nAnswer: -31, -28, -1\/4, -0.06, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 697 + -1034. Is z\/(-4 + (-44)\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.111, -3\/44, -3, 2\/5, 1\/3, 1\/5?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*b - 63*b + 4*f = 12, 3*b - 86 = -23*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 163 - 20?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*c + 2*u, 339*u - 336*u + 21 = -5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 4*p**2 - 10*p - 8. Calculate n(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.9373 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74353 is divided by 37165.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18045 is divided by 5395.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-21*288\/7560)\/(-92*3\/30)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2\/3 - 273966*r = 0.\nAnswer: -410949, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3042 - 2?\nAnswer: -3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675 = 5*v + 715 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55881*z + 111808*z - 55917*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*v + 79, 0*i + 4*v = 4*i - 116. Calculate the remainder when i is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 1069 + 433. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 777 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2682614598.\nAnswer: 2, 3, 19, 43, 547249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 2\/3, -1 in descending order.\nAnswer: 2\/3, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 24 = 2*r, o - 4*o - 2*r + 11 = 0. What is the common denominator of 1*(-2 + o)*202\/36 and 47\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s + 3*s + 112 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 49*l**2 - 126*l + 57. List the prime factors of z(41).\nAnswer: 31, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-8) + 11026047\/68 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -914\/33 + 81\/11. Let m = 24\/19 + -6\/95. Calculate the common denominator of m and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*l + 92*l - 31 = -3*m, 5*m + 121 = 3*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.863 + -596.837. Let o = 611 + j. Which is the biggest value? (a) -3 (b) -2 (c) 7 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-two thirds of a decade?\nAnswer: 2480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*d + 1. Let f(b) = 2*b**3 + 5*b**2 - 5*b + 1. Let a(n) = n**3 + 5*n**2 - 4*n + 2. Let v(z) = d*f(z) - 3*a(z). List the prime factors of v(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.5876 + 0.4\nAnswer: -17.1876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23426*k*n*v + k*n + 2*k*v**2 + 29141*n*v**2 - 2*v**2 - 2*v wrt v?\nAnswer: 4*k + 58282*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3010 divide 52313800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 5. Suppose -4 = c, -4*n + y = -4*c - 7. Let i = 20 + n. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.875 + 2.175. What is the second biggest value in g, 0.1, 2, 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4450974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**3\/o*o)\/o**(-2\/3)*o**(1\/5)\/(o*o**(-2)))\/((o**(-2\/3))**(-5)*o**(-3)\/o*o*(o*o*o**(-3\/7))\/o) assuming o is positive.\nAnswer: o**(416\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2625 or 2626?\nAnswer: 2626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-15))\/((-3956)\/59340).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 + a + 1. Let x(p) = -3*p**2 + 2*p. Suppose -6*r = -2*r - 12. Let s(m) = r*f(m) - 4*x(m). Let g be s(3). Solve 0 = -4*d - 5 - g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -789*w**2 + 33*w - 33. Let c(n) = -24*n**2 + n - 1. Let d(h) = 132*c(h) - 4*x(h). Let r(u) = -112*u**2. What is r(d(t))?\nAnswer: -16128*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 8*m - 9. Suppose 9 = -s + 3. Let d be l(s). What is the second derivative of y + 2 - 2 + 2*y**d wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1355*n**3 + 2861*n**3 + 4139*n**3.\nAnswer: 8355*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11212220020021 - -2?\nAnswer: 11212220020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/147466186?\nAnswer: -3\/147466186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 178768\/81 + -2207. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olollllll. What is prob of sequence loll?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 5*t - 4. Let r(n) = n + 1. Suppose -k - 70 = 4*k. Let q(j) = j**2 + 13*j - 9. Let u be q(k). Give u*r(b) + h(b).\nAnswer: 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1352 - -1358. Let p(r) = 7*r - 7. Let z(v) = 20*v - 20. Let j(w) = 14*p(w) - 5*z(w). Calculate j(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4114050 divided by -6?\nAnswer: 685675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48.2 + 48. Suppose -6*s + 12 = -18. Which is the biggest value? (a) -2 (b) s (c) 2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.44375413.\nAnswer: 0.221877065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(136) + -2*sqrt(136)) - (sqrt(136) + -1*sqrt(136) - sqrt(136))*6)\/(sqrt(800)*-2*-5).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/823 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/2))**(-38) assuming m is positive.\nAnswer: m**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + -7 + (721 - 716)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/10*(-2610)\/87\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59*781\/(-4189)*(-5)\/(-1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 + 24*a - 51. Let t be b(-13). Let z = 294 - t. Does -19 = z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u**4 - 3*u**3 + 2 + 0*u**3 + 5*u**3 - 4*u**3 - 3*u as g*u**3 + p*u**4 + y + f*u + d*u**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4100*s = 9705 + 7 - 50712 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 151511 (base 7) to base 16\nAnswer: 72e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/90)\/(-2*(-2)\/(-6))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 263698, 527083, 790468, 1053853?\n\"Answer: 263385*u + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42779.1586 rounded to the nearest one hundred?\nAnswer: 42800","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(33)\/sqrt(3) + sqrt(44) + 0.\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -141?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 183*p**2 - 3*p**5 + 4*p**3 - 179*p**2 - 4*p**3 wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjgjd. What is prob of picking 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10*m**2 + 7*m. Let j(c) = 9*c**2 - 6*c. Let f(g) = -7*j(g) - 6*u(g). Let s(r) = 2*r**2. Determine s(f(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/4 - -4)\/(2\/8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-39)*(-5)\/((-60)\/(-4)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -41. Sort f, 2, 9.\nAnswer: 2, f, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/722, -2\/19, 0.017?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 - 24. What is the highest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -420768.55 less than -0.004?\nAnswer: 420768.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 278741971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 410 - 405. Which is the nearest to -0.1? (a) v (b) -17 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 2*v - 8. Which is smaller: v or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 12 = -2*p. Let v be 33*4\/242*(-1)\/(-3). Which is the nearest to 0.3? (a) p (b) -1\/4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1272 + 1938 + 3969)*(3*n - n - 3*n + (0*n + 2*n + 0*n)*(-1 + 1 + 1) - n - n + 3*n)*(3 - 3 + 2*n**2) as c*n**2 + q*n + o*n**3 + b and give o.\nAnswer: 18540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - -1111101111001101110011011?\nAnswer: 1111101111001101110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169829449 to the nearest integer?\nAnswer: 13032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -9*a - 22. Let k be r(-3). Let p(g) = -g**2 - 16*g - 60. Let z be p(-9). Solve -2*f + z*n = -n + 16, 20 = -f + k*n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -7*f**3 + f**2\/2 + 6*f. Suppose -3*h = -0*h + 15. Is w(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 171952847 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14.4 * -4.9687\nAnswer: 71.54928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -220*d**2 - 11*d + 4 + 223*d**2 + 0. Let k be s(4). Solve 0 = -4*q + 8*q - k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21123 (base 8) to base 10.\nAnswer: -8787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*f + 1007 - 851 = 0. Solve 24 = f*r + 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**2 + 2*j - 2*j)*(2 - 2*j - 2) + 4*j**3 + 7*j**3 - 4*j**3 to the form o*j + l*j**3 + i*j**2 + q and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3 (b) 2 (c) -5\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w. Let u(k) = 5 - 11*k**2 - 5 + 35*k**2. Calculate d(u(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 12:11 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/1071, 5, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from djjjggjjgg?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1039353, 1039348, 1039343, 1039338, 1039333, 1039328?\nAnswer: 1039323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190, 17, -2, 15, 2, 14.\nAnswer: -190, -2, 2, 14, 15, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 1. Let x be f(5). Let t(m) = 10 - 7 - 11*m - 3 - 13. Is t(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 605482, 605483, 605484, 605485, 605486, 605487?\n\"Answer: n + 605481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 7:45 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01554 rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 20*d + 198. Suppose -20*o = -12*o + 184. Is j(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (6 - -7) - (-5 + 6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n - n + 2*n)*(-3 - 2 + 1)*(-2 - 6*n**2 + 2) in the form g + h*n**3 + k*n + a*n**2 and give h.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/12)\/(358050\/11160)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31, -220, -391, -532, -631, -676, -655?\n\"Answer: 2*p**3 - 3*p**2 - 194*p + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**6\/60 - 11*u**5\/40 + 31*u**4\/24 - 7*u**3\/4 - 399*u. Determine z so that t(z) = 0.\nAnswer: 0, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (132\/55)\/((-2)\/30*2). Let r be -4 - (-11)\/((-33)\/z). Suppose r*n - 25 = 53. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14.5 (b) 11\/9 (c) -1183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 183797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 225.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6138729.\nAnswer: 3, 19, 35899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8670, -17344, -26018, -34692, -43366, -52040?\n\"Answer: -8674*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**3 - 193*u**2 - 5*u - 5. Let i(m) = 2*m**3 + 96*m**2 + 2*m + 2. Calculate -2*a(o) - 5*i(o).\nAnswer: -2*o**3 - 94*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + -1.98. Suppose -f + k - 4*k = 21, 4*f = k - 6. What is the closest to 0.1 in -0.4, a, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -665*m**3 + 2011*m**3 - 665*m**3 - 666*m**3.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 401 - 377. Solve -4*g - 5*q = -17, 0*g - 2*g = -4*q + p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -4*t + 32, 3*t = -0*t - 3*x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:34 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 3*k**7\/98 + k**6\/35 - 3*k**5\/35 - k**4\/14 + k**3\/14 - 10*k. Determine d so that h(d) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63021 - -110539. Is 88 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 27*z - 723. Determine d(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a388 (base 11) to base 10.\nAnswer: 86974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 39.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k - 4. Let l be t(6). Suppose -g + l = g - q, -g - 4 = 3*q. Solve 5*u - g = 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16468 rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 25 = -5*n, 0*a + a = n - 5. Suppose a = 3*z - 54 - 30. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 60, 42, 6, -54, -144?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*s - 7367, 4*s + 4*f = 9*f + 9825. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**5\/20 - 5*v**4\/8 - 15*v**2. Find n, given that y(n) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 420*o. Let c(t) = 1371077*t. Calculate x(c(m)).\nAnswer: 575852340*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 7*m - 8. Calculate w(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12082 divided by -1?\nAnswer: -12082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 15*f**2 - 20*f - 13. Let s be m(-16). What is the highest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllluuluuuullul. What is prob of picking 3 l?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -14 (c) 2\/25 (d) -1\/4 (e) 2.26 (f) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 12*w**2 + 30*w - 90. Let n(f) = -f**2 - 2*f + 6. Let o(v) = -15*n(v) - q(v). Let y(j) = -2578*j. Determine y(o(a)).\nAnswer: -7734*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 170\/32 - -1*(-2 + 12 + -11) and -23\/434.\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*k**3 - 12*k**2 + 9*k**3 - 21*k**2 + 26*k**2 - 136*k**3.\nAnswer: -175*k**3 - 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/54 and 11\/59064.\nAnswer: 531576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Let m = -14.59 - -13.5. Let o = m + 0.09. What is the third biggest value in x, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -178 - -186. Suppose -v + l = -972, 0 = -v + p*l - 3*l + 984. What are the prime factors of v?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -28?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841277687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -5*y**4\/12 - 7*y**3\/3 + 11*y**2. Let d be l(-5). Calculate the highest common divisor of d and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 79, 121, 161, 199?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180332 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.88154 millilitres in litres?\nAnswer: 0.05588154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (92\/9 + -8)\/((-2)\/(-3)) and -3 + 1 + 24\/(-126).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/8 - 11*1*-10. Let c = j - -282. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 1:55 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*0.4\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-43082)\/(-8)*2*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278660780 a multiple of 5801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 95*l**2 - 2563*l - 60. Determine h(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4*r - 329, 31*t - 2*r = 27*t + 262. What is the remainder when 776 is divided by t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - -15 - -2) + -1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524*u = -90*u - 25865 - 4515 for u.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 366544 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*p - 191*p - 697 = 6754 + 785 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + -1. Let x = g + 8. Solve -w + 0 = x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -716 divided by 7\nAnswer: -716\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 + c**4 - 5*c**4 + (c + 2 - 2)*(0*c + 2*c**3 + 0*c))*(-1 - 4 - 3).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) 2 (b) -4\/9 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 3*s**2 - s + 3. Determine m(5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -25*c - 343. Calculate y(-12).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3143*g + 2484 = 3051*g for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2324807371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - ((2 - 1) + -3). Let q be (11\/11)\/((-1)\/2) - v. Solve q = w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11950925 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.025*24365.\nAnswer: -609.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2 = p + 3*u, 0 = -p + 5*u - 18. Let j(c) = c**2 + 5*c - 11. Give j(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -97, 2, 0, -3 in descending order.\nAnswer: 7, 2, 0, -3, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*x + 32*x = 62*x + 132 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1010001011001 (base 2) to base 12\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)*b)**(2\/39)*((((b**2\/b)\/b*b*b*b*b*b)\/b*b)\/b)**(-8\/11))\/((b\/(b*b*(b*b**(2\/3)\/b)\/b*b*b))**(-8\/7))**(2\/29) assuming b is positive.\nAnswer: b**(-536597\/174174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2066 (base 11) in base 3?\nAnswer: 10202021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 505420 to the power of 1\/2, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -865184*a**2*n**3 - 104*a*n**3 + a*n - 3*a - 314 wrt a?\nAnswer: -1730368*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 14*f**2 + 8*f - 113. Let r be x(14). Do r and -65 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3\/19, -0.06, 2\/3, 7, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14138 (base 13) in base 14?\nAnswer: -d993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.5 + 8. Let d = 16\/7 + -43\/28. What is the smallest value in d, 2\/9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1135 and 121213.\nAnswer: 120078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -265 + 1858\/7. Let b = -128 - -128.2. Let m = -19\/7 + 74\/35. What is the nearest to 3 in b, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -7*s**5\/12 - 19*s**4\/24 + 34*s**2. Find the second derivative of g(x) wrt x.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + 15*k - 7*k + 13*k to the form d + f*k and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -10*f + 7*f + 5*c, 21 = -5*f + c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -1021, -1766, -2497, -3208, -3893, -4546, -5161?\nAnswer: -5732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42246233 (base 7) to base 2.\nAnswer: 1101101000110001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66126224 - -11.7.\nAnswer: -66126212.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 112*i - 27. Let b be a(4). Suppose 3397 - b = 12*j. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2270001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*-4)**2*3 + ((sqrt(1008) - (3 + sqrt(1008)*-1)) + sqrt(1008))**2.\nAnswer: -216*sqrt(7) + 57465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 325?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7543616939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7163 and 1235.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 827967691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-110)\/3)*(-30)\/(-45).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55722317*a - 8 - 33*a**2 + 55722317*a.\nAnswer: -33*a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 5*j = 0, 4*k = 4*j - 5*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 2000.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - l. Let s be 81\/(-1215) + 14\/(-15). Let g(h) = h**3 + 5*h**2 + 3*h. Calculate s*i(x) - g(x).\nAnswer: -2*x**3 - 5*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 9:46 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 11:31 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 4*w**3\/3 + 20. Let o(h) = -5*h**2. Determine i(o(t)).\nAnswer: 100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2736) - -2*sqrt(2736)*-1) - -3*(-4 + 2 + sqrt(2299) + sqrt(2299)).\nAnswer: -6 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3908 - 3243 - 2645 = -158*g for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -693 divided by 56\nAnswer: -99\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-1189756)\/169964 - (-5 + -2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 5801224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 103964, 0 in descending order.\nAnswer: 103964, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 0*i**2 + 7*i - 3227 + 4*i**2 + 3235 - 2*i**2. Determine l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 21 = -21. Solve -c = -s - 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 691, 4589, 14437, 32977, 62951, 107101, 168169?\n\"Answer: 457*c**3 + 233*c**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/2 - 3*s**3\/2 + 3*s**2\/2 + 11*s\/2 + 3.\nAnswer: -(s - 2)*(s + 1)**2*(s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a - 3*a + 3*a - 1 - 5*a + 3*a**2. Let x be s(2). Suppose x*l = 4*l + 10. Calculate the highest common factor of 4 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 4*k + 4*k + 100 - k - 48.\nAnswer: -k + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32896 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*o + 403 + 6989 = 0 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*((-1)\/1)\/1. Suppose -3*h - b - 19 = -4*h, -b = -r*h + 47. Is (-2)\/(-5)*(h + 1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -o + 5*c - 56, 57*o - 55*o = -c - c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352250 and 116500.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*q = -202*q - 5859054. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67 or 53?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28675.\nAnswer: 5, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 14 + 4 + 88*q**3 - 87*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 - 4*k + 4*k + (0*k**2 + 26*k - 13*k + 3*k**2)*(6 + 10 - 2) + 3*k**2 + 2*k**2 - 4*k**2 as l*k**2 + f*k + y and give f.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*h + 540 = -36*h. Solve -h = -35*u + 38*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*s = -110*s - 39. Find the third derivative of -29*t**3 - 101*t**2 + 82*t**3 - s*t**3 - 2*t**6 wrt t.\nAnswer: -240*t**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4342 (base 6) to base 8\nAnswer: -1746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 15*d - 7. Let i be (-19)\/57 + (-2 - 20\/3). Let y be k(i). What is the units digit of ((-15)\/y)\/(1\/(-132))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**4 + 43*l**4 + 5*l**4 + (2*l**3 - l**3 - 3*l**3)*(-3 + 3 - 2*l).\nAnswer: 47*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 5, 2 in ascending order.\nAnswer: -47, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 9:33 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8863, -9229, -9861, -10765, -11947?\nAnswer: -13413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3\/5, 51\/2 in decreasing order.\nAnswer: 51\/2, 3\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-34)\/(-204)*40\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1619 + 3232 - 1613 + 6*h - 5*h - 2*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 86 = 4*t + 3*j, 5*j + 10 = 0. Let u be (t\/(-14))\/((-20)\/14). Which is the third smallest value? (a) -3 (b) -2\/3 (c) 5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2943*s + 8590 = -1352*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g + 34 = -255 + 85 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16345783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9557 by -1.\nAnswer: -9557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 73163*j - 3658153. Give a(50).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/12 and 167\/560976?\nAnswer: 560976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 (base 7) in base 9?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - 37 - (3 + 1) - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 530672, -0.03.\nAnswer: -0.03, 0.4, 530672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*x - 2570*x**3 + 49*x - 102*x.\nAnswer: -2570*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2 - 144*m - 2592 = 0. What is m?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 12:49 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**8)\/h*h\/(((h\/h**(-7)*h)\/h*h)\/h))**(1\/20) assuming h is positive.\nAnswer: h**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**3 - 4*x**2 - 2*x + 1. Calculate c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -43 + -26 + 35 + (20 - 31).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*c + 39*c + 28*c - 86*c + 36*c**3 + 10*c**2 as n + u*c**3 + v*c + r*c**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 1, y: 2}. What is prob of sequence eh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6607 by 1.\nAnswer: -6607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 13*k + 3. Let i = 55 - 54. Let d = 4 + -2. Calculate the smallest common multiple of d and p(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743042.\nAnswer: 2, 103, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12339 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 5. Let b be w(0). Suppose -9 + 0 = 2*a - 3*i, -2*a + b*i = 11. Suppose -9*y = 20 + 16. Sort 2, a, 12, y in decreasing order.\nAnswer: 12, 2, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*z = 5*h - 29, -5*z = -2*h + 30. Let m be -4 + h - 2\/(-10). Solve 0 + 2\/5*d**5 + 6\/5*d**3 + 0*d + 2\/5*d**2 + m*d**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 12:53 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*s*u + 3842*b*s + b*u + 12*b + 2*s*u - 40703*s with respect to b.\nAnswer: -2*s*u + 3842*s + u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 47289489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*w + 10 = -67*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.39 + 0.11. Let j = o + -0.5. Let b(s) = s**3 + 12*s**2 - 27*s + 13. Let p be b(-14). Put 0.1, j, p in ascending order.\nAnswer: p, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 82*i**2. Let o(z) = z**2 + 5*z + 5. Suppose 21*x - 8*x = -65. Let k(l) = l**2 + 7*l + 7. Let h(n) = x*k(n) + 7*o(n). Determine f(h(c)).\nAnswer: 328*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6529558?\nAnswer: 2, 7, 73, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 347 + -245. Suppose -150 = -5*x + 2*l, 5*x - x - m = -2*l. Let -8*r - 36*r**5 + 16 - 2*r - 22*r - x*r**2 + 12*r**4 + 68*r**3 = 0. What is r?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 29 - 22. Solve f + 7 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 356*x**4 - 2*x**3 - 117*x**4 - 124*x**4 - x - 113*x**4 + 2 + 203*x**2 to n*x**4 + z + k*x + t*x**3 + p*x**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-3 - (-12403)\/6438). Let q = 1\/222 + f. Are q and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**5 - l**4 - 12090*l**3 - 227658*l**2.\nAnswer: 120*l**2 - 24*l - 72540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -27733383.429636+-4\nAnswer: -27733387.429636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (331440\/34525)\/((-24)\/(-130))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**2*f**3*o**3 - 2*c**2*o**3 - 2*c**2*o**2 - c*f**3*o + c*f*o**2 wrt o.\nAnswer: 18*c**2*f**3 - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 194473615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -17 + -2 + 12 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2, -4*o + 2*v + 116 = -46. Calculate the remainder when 323 is divided by o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g - 66 = 4*f - 18, -g + 4*g + 19 = -f + 7 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -b38409 (base 14) in base 8?\nAnswer: -27060251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6157848 millennia?\nAnswer: 7389.4176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 c when three letters picked without replacement from {r: 2, p: 5, c: 3, d: 2}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1175 = 5*j - 4*y, -j + 4*y - 69 = 182. Let q = -68 - j. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 1\/3*n**3 + 0 + 47*n**2 + 0*n - 1\/24*n**4. Calculate y(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10634 divided by -371.\nAnswer: 10634\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -28979.005 rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 27*p**2 + 26*p - 199. Let m be x(-27). Which is bigger: m or -906?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-120) - (-4)\/(-6))\/((-153)\/34)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76.3 + -76. Put -4, -0.12, -2, z in increasing order.\nAnswer: -4, -2, -0.12, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, -5 in ascending order.\nAnswer: -5, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 615612504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v + 17. Let j(a) = a - 1. Let m(w) = w**2 + 3*w - 3. Let x(k) = -3*j(k) + m(k). Determine c(x(z)).\nAnswer: 3*z**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*g*h**4 - 5975*g*h**3 - g*h**2 - 220*g*h - 56*g + h**4 + 5 wrt h?\nAnswer: 384*g*h - 35850*g + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/42)\/(4\/(-12)). Sort -0.2, k, 8, -8 in descending order.\nAnswer: 8, -0.2, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2505, 2432, 2359, 2286?\n\"Answer: -73*j + 2578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34643658 rounded to the nearest one million?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10092835 divided by 1.\nAnswer: -10092835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 6 - ((-160)\/28)\/2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(95)*5 - sqrt(95)) + sqrt(95))\/(sqrt(500) - 3*sqrt(500)) + -1.\nAnswer: -sqrt(19)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9.34 and 0.2?\nAnswer: 9.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**3 + 141*r**2 + 14*r - 384. Give j(-28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6.161 - 284875.3\nAnswer: -284869.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Put 9, 8, -2 in increasing order.\nAnswer: -2, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*l + 286*l = 14196 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1167 + -1156. Calculate the remainder when 54 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3464 + 3479. Solve -b - 2*u + 9 - m = 0, 2*b = -3*u - 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337123 is divided by 335827?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 - 15*o**2 - 37 + 147.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/3135 and -47\/15?\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 2:30 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3334 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 79, -3, -33, -5 in descending order.\nAnswer: 79, 1, -3, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -504.8 or 0.7912?\nAnswer: -504.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489 = -78*s - 177. Suppose 5*u = -0*u + 75. Let z = u - 6. Solve -5*c + z*c - s = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4556660 to the nearest ten thousand.\nAnswer: 4560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1788*b - 1786*b - 4*k = -12, 0 = 5*b + 5*k. Let x(a) be the third derivative of -a**6\/60 - a**5\/30 + a**4\/8 + a**3\/2 - a**2. Calculate x(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3543*d + 28336. Determine s(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79856 divided by -674.\nAnswer: 39928\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyy. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6326605 decades to centuries.\nAnswer: 0.06326605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-6)\/w)*w\/w**4)\/(w**(1\/6)\/(w\/(w\/((w\/w**(-4))\/w)))) assuming w is positive.\nAnswer: w**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 3.94?\nAnswer: -1.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1640\/60 + -27)\/(1\/(-21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + (-2)\/(-2))*41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -321, -306, -283, -252, -213, -166, -111?\n\"Answer: 4*c**2 + 3*c - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29972664 to the power of 1\/2, to the nearest integer?\nAnswer: 5475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -439\/2 + 227. Calculate the common denominator of v and 71\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248302 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -65. Suppose -u*j = -j. Is (j + -1)*(-3063 - 26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00651 minus 0.2?\nAnswer: -0.20651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:58 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -69389 from -3296.\nAnswer: 66093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 104\/(-20)*(-26)\/52\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 29*h - 10. Let n be p(-8). Let t be (n - 1)*12\/(-18). Calculate the remainder when 2\/(-5) + t\/5 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.349 and 101.\nAnswer: -35.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w**3 + 3*w**2 + 5*w - 5. Let l(y) = 2*y**3 - y**2 + y + 1. Calculate -4*l(f) - m(f).\nAnswer: f**3 + f**2 - 9*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 + (19 - -88) - (12 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3 - 1 + g - 5. Let x be w(6). What is the second derivative of 4*m**4 - 2*m**4 - x*m**4 - 3*m wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + y**2 + y + 2. Let x be s(0). Suppose x*v = v + 3. Is (1 - 2)\/(v\/(-345)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60130225?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 3*d**3 - 2*d**3 - 1 + 0*d**3 to x*d + f + h*d**2 + s*d**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.294 - 0.094. Let y = -0.2 + 0.3. Let j = y - 0. Which is the nearest to 0.1? (a) 2\/7 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 733 + 2447 + j + 540 + 1133.\nAnswer: j + 4853","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 10 + 1 + (0 - -2). Solve 4*z - g = -3*i, i + 8 = 5*i + 4*z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4 + 2*u**3\/3 - 17*u**2\/2 - 4*u. Suppose -7*v - 6 = -9*v + m, 4*v + 3*m = 32. Is p(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(220\/(-24))*(49 + 5029\/(-141)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505*n - 509*n + 258924 = 0. What are the prime factors of n?\nAnswer: 3, 21577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13013*f - f**3 - 13013*f - 13006*f - 24*f**2 + 39057*f. Determine g(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - s**2 - 4262*s**3 + s**2 - s + 1878*s**3 + 2361*s**3.\nAnswer: -23*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -631 in -0.4, -0.02, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.057 - -3.043. Let o = l - 0.1. Which is the nearest to -1\/2? (a) -0.4 (b) 1\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + (6\/9)\/(13\/(-438516)). What is h rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176241 by 5075.\nAnswer: 176241\/5075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 10:33 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -11 + 17 - (-6)\/(-6)*-2. Solve 11*z = 3*f + a*z + 15, 3*f = z - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 155 + -232. Let n = 76 + r. Sort -0.8, 2, 3, n in ascending order.\nAnswer: n, -0.8, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 - -124. Let z = -5 + q. What is the greatest common divisor of z and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 259 - 259. Which is the closest to -0.1? (a) -1\/3 (b) 1\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -5*x - 98, 2*x = -526 + 488 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as 357\/94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -5*x + 290, 1346 - 2 + 291 = 39*x + 3*j - 525 for x.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11743*f**2*y + 110*f**2 - 3*y - 16548 wrt f.\nAnswer: -23486*f*y + 220*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -274*l**3 + 175*l**3 - 314*l**3 - l + (5*l + 0*l - 4*l)*(4 - 3 + 1)*(-2 + 2 - l)*(2*l - 6*l + 2*l) to the form z*l**3 + k*l + f*l**2 + o and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 385, 870, 1549, 2422, 3489, 4750?\nAnswer: 6205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 176 + -204. Calculate the remainder when 105 is divided by (-44)\/(-14) + -3 - 500\/c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294744 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 82, -5, -30, 4, 57 in increasing order.\nAnswer: -30, -5, -3, -1, 4, 57, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 2*z**6 - 14*z**3\/3 - 12. Find the third derivative of g(i) wrt i.\nAnswer: 720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 16?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 = -3*v - 287 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0. Let z = -0.30104 + k. What is z rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-6 - ((-2 - -2) + -13)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 653 + 228. Let r = -7051\/8 + n. What is the biggest value in -0.15, -0.3, -5, r?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2272 and 24069?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/77 and -107\/70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + -41.4.\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2069272.2s to minutes.\nAnswer: 34487.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.3484 + 1.3484. What is the nearest to 11 in -4, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112.2 smaller than -286575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 265326 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*2\/(-32))\/1*-8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -687 (c) 0.07 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (108\/(-5))\/(14\/(-245))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -62270, -62269, -62268, -62267, -62266?\n\"Answer: r - 62271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -182, -298, -414?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 11. Let u be x(-12). What is the remainder when u\/2*24\/(-30) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.6 - 0.4. What is the smallest value in 4, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4 - 119538*l**3 + 1190419119*l**2 + 7145742564*l + 10720227852 = 0. Calculate l.\nAnswer: -3, 19926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*q + 107*q - 20537 = 210*q. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 5894.\nAnswer: -2\/2947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 2. Let c be (-2)\/4*1*48*k. Let n = -4 - c. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(99)\/(sqrt(900) + 4*sqrt(900) + sqrt(900)))**2.\nAnswer: sqrt(11)\/10 + 32411\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/4)\/(q\/q**(-3\/7))*q**2*q**4)\/((q**0)**(-48)\/(q**(-6)*q**(-2\/9))) assuming q is positive.\nAnswer: q**(-101\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8113438, 8113412, 8113370, 8113312, 8113238?\nAnswer: 8113148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + 2 + sqrt(17))*-5 - ((2*sqrt(153))\/sqrt(9)*-3)**2.\nAnswer: -622 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*n - 260 - 200, -5*n + 4*y + 752 = 0. Let m = -103 + n. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 312 + 48 = 0. Let a be 5*(o\/20 + -1). Suppose -4*y + 3 = -13. Solve a = y*u - 0*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1356 - -1488. Calculate the greatest common divisor of 1122 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 8*z - 20. Let b be x(10). Let l = -39 - b. What is the common denominator of -40 and ((-93)\/(-35) - l)*5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.76 + 0.24. Which is the closest to u? (a) -0.5 (b) -1 (c) 1\/2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 bigger than 28.656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*d - 4*d. Suppose -9 - d = -5*v. Let l be ((-12)\/16*-1)\/(1\/16). Solve -h - v*h + l = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1644 + -1508. Let w = -82 + 80. Which is greater: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3559288.262 and -1237.1.\nAnswer: -3560525.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 - 5 - 2*i**2 - 14 - 3*i**2.\nAnswer: 2*i**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s + 17. What is u(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*8\/4*6\/(120\/(-55))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1 = 44. Suppose -3*l = h + 4*h - 15, 3*l = 2*h + k. Suppose 0*p - 10 = -p. Solve -2*w + p = -h*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 25. Solve 3*i + r*a + 16 - 4 = 0, -4*i + 4*a + 16 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-18)\/(r\/r**(2\/47)) assuming r is positive.\nAnswer: r**(-891\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -120*c**2 + c - 5. Let w(z) = -720*z**2 + 5*z - 30. Let y(h) = 35*f(h) - 6*w(h). Is 15 a factor of y(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 15 = 2*y. Suppose y*k - 2*k = 189. Suppose 0*w + k = 3*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481 = -3*w + 4*j, -2*w + 2*j + 240 = -80. Calculate the remainder when 3812 is divided by w.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29153 (base 10) to base 14.\nAnswer: a8a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-7)*(-36)\/72\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/(-6))\/((-96)\/4063552) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15160\/(-3) - 4)*-3. Suppose -38*w - j = -42*w. Is w + (0 - (-1 + 1)) 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 6:54 PM and 11:47 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 - 160 + l + 191 + 97.\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*5\/15*11\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -3 + 1 + -2 + -5 + 8\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 + 5)\/(13\/72238). Let l = 5560 + r. Is l less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 1421 - 7106\/5. Let i = -0.24 - -0.34. Which is the nearest to i? (a) m (b) -1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - x - 2. Let t(s) = -19*s**2 + 3*s - 8. What is 4*k(d) - t(d)?\nAnswer: 27*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 52. Let j(s) = -s**2 + s. Let m(b) = -4*b**3 - b**2 + b. Determine k*m(z) - j(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-175)*5 - (-27)\/(-21)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/12*3\/(-2). Let n = -3 - -6. Let u be (-2)\/n + (-8)\/(-30). Sort 2\/13, u, c in decreasing order.\nAnswer: 2\/13, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -19*d + 2. Let s = -14 + 8. Let k be r(s). What is the greatest common divisor of 29 and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02837423 to three decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(3456))\/((sqrt(198)\/sqrt(6))\/sqrt(11)))\/((-2*(sqrt(72) - sqrt(72)*-1) - sqrt(72))\/(sqrt(300)*-6)))**2.\nAnswer: 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (32 + -38 + -10 - (-1 - 6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*a + 372*a**3 - 4*a**2 + 0*a + 4*a**3 + 23*a - 47*a to d*a**2 + n + x*a**3 + f*a and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*p**2 + p**3 - 2*p**3 - 8*p + 96*p**2 to q*p**2 + y*p**3 + d + c*p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2210121102002 (base 3) to base 11\nAnswer: -927109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -188f + 49e?\nAnswer: -13f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*-7*2\/(-4). Let t be 1*d*(3 - 2). Suppose 25 = 2*w - t. Calculate the remainder when 47 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -340001242102 - -14?\nAnswer: -340001242033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -41*u**2 + 11*u + 11. Let p(x) = -8*x**2 + 2*x + 2. Let a(r) = -r**2 + 21*r - 74. Let c be a(14). Suppose 46 = 47*n - c*n. Give n*i(q) - 11*p(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o**2. Let x(t) = 13*t - 12*t + 7*t. Give j(x(r)).\nAnswer: 384*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 41. Let j(b) = -9*b - 12. Calculate the remainder when j(p) is divided by (20\/(-3))\/(4\/(-12)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2 + 6 = 0, 0 = -2*s + 5*y + 11. Suppose -3*j + s*x = -33, -4*j = -0*x - 3*x - 39. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1084*j**3 - 8318*j - 1 wrt j.\nAnswer: -6504*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 21\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -0.4 (c) -2 (d) 0.08 (e) -1\/141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {w: 1, g: 1, c: 2, l: 1, i: 2, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(-1 - (-7 - -7))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75\/2*v**2 + 6 + 3\/2*v**5 + 24*v + 21\/2*v**4 + 57\/2*v**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42644079 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + m**3 - 3*m**3)*(16 + 14 + 4*m - 28 + m**2).\nAnswer: -2*m**5 - 8*m**4 - 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - z = z - 18, -21 = -3*f - 3*z. Suppose f*n - 3 = 3*u, -7*u = -4*n - 2*u + 5. Suppose n = 3*l - 5*l + 42. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2834, -2834, -2836, -2840?\nAnswer: -2846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 660 = -2*u, -3*q + u + 3*u + 485 = 0. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhgg. Give prob of picking 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.84 and -39862.13.\nAnswer: -39862.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) -0.3 (c) 3 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 881*m - 7 = 885*m, 0 = -4*k - 2*m + 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*m = -0*m - 27, 0 = 4*j + 4*m - 12. Let u(l) = -l**3 + 7*l**2 - 3*l. Let r be u(j). Suppose 0 = -k + 4*k - r. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 5 + 3)*(12*q - 67*q - 5 + 5).\nAnswer: -1045*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1929001, -1929004, -1929007, -1929010, -1929013, -1929016?\n\"Answer: -3*z - 1928998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1287 + -1283. Solve -17*w = -13*w + p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(110) + sqrt(110)) + sqrt(110))\/(sqrt(160) - (sqrt(160) + (sqrt(160) - (sqrt(160) + (sqrt(160) - sqrt(160)*-3))) - sqrt(160))).\nAnswer: sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((14 - 1 + 1)*(6 - 2 - 3) - 1 + 1 + 2)*(3*h - 23 + 25 + 9*h).\nAnswer: 192*h + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6039959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {s: 2, h: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/3)\/((-10)\/(-30*3)). Solve 0 = -z*y + 6 - 66 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - z**2 + 2*z + 2. Let j(y) = 5*y**2 - 2. What is the remainder when j(2) is divided by w(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d - 4*s - 1960 = 0, -2*d - s = -1303. Let a be ((-196)\/6 - 2)*(-6)\/4. Let c = a - d. What is c rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -2455920?\nAnswer: 2455920.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1961 + -1961.5. Which is the closest to -16? (a) -0.4 (b) 4 (c) h (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 2. Let n be l(-2). Let t = 4 - n. Suppose 2118027 = t*y - 241973. What is y rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-993)\/42*-3012 + (-4)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**3\/2 - j**2\/2 - 9*j. Let z(i) = -9*i - 4. Let s(n) = 77*n + 691. Let a be s(-9). What is a*z(g) + 7*w(g)?\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3099026?\nAnswer: 2, 7, 41, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28.07 and 0.05.\nAnswer: -28.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 5*a - 10. Let f be k(7). Suppose 5*u + 4*h = -0*h - 90, f*u - h = -72. What is the units digit of 96 - (5\/6 - 3\/u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -3, 6667, -5, 639 in decreasing order.\nAnswer: 6667, 639, 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, h: 15}. What is prob of picking 1 t and 3 h?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, 27, 46, 65, 84?\n\"Answer: 19*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -45. Find the common denominator of ((-8)\/(-288))\/(r\/(-129)) and 35\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -14967.6?\nAnswer: -14973.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 3*a. Is 2\/43 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, 16, 30 in ascending order.\nAnswer: 4, 13, 16, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**3 + 12*p**2 + 237*p - p**3 + p**3 + 238*p - 463*p = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20a (base 12) to base 16.\nAnswer: 12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -15*o + 1. Let t be h(-1). Suppose 0 = -0*v + 2*v. Is (-3 - t)\/(-1 + v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a - 15. Let h be r(10). Suppose 0 = 22*z - h*z. Solve 20 = -z*f + 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((35\/6)\/5)\/7.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-33)*w)\/w)**(1\/12))**(-46) assuming w is positive.\nAnswer: w**(253\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((28\/(-60))\/(-7)). Let -79*s**2 - 127*s - z*s**3 + 97*s + 24*s**2 = 0. Calculate s.\nAnswer: -3, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.21 to 0 decimal places.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 24*p**3 + 128*p - 16*p**3 - 155*p - 17*p**3 in the form v*p**3 + t*p + r*p**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2639 (b) -3 (c) 0.4 (d) -0.69 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -853 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -7. Which is the nearest to i? (a) -1 (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - h + 12 = -10*k, 0 = 3*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 306 + -314 + 13 + 37?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*y = -4, -2*y + 2 = -2*v - 0*y. What are the prime factors of (22 - v)*(-45)\/(-18)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 18. Let w be 4\/((-8)\/6) - (7 - 249). Suppose -2*i - t + w = n*t, -2*i + 241 = t. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 9:32 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22421103.\nAnswer: 3, 43, 173807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3))**(12\/11)*(r*r\/r**(6\/5)*r)\/r**(2\/9) assuming r is positive.\nAnswer: r**(601\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j**2 + 191*j + 77. List the prime factors of b(-41).\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 362610?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 + -2 - 7 - (55 + 8 + -41))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 2*d + 10. Suppose 0 = -d*l + 13 + 29. Let k = -12 - -23. What is the remainder when l is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*a = -5*p + 397*a + 23 - 5, 2*p - 5*a = 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9 = 0, g - 1 = -2*b + 7. Suppose 5*a - g*i = 250, -250 = -5*a + i - 6*i. Does 24 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -609.84 to the nearest integer.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46748 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 58 and -495.2.\nAnswer: -437.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2480560 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500) - (1*sqrt(1500) + sqrt(1500)))\/((sqrt(245) - (sqrt(245)*2 + sqrt(245))) + sqrt(5)))**2.\nAnswer: 300\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0253 + -0.2853. Let g = 0.37 + -0.07. Which is the smallest value? (a) g (b) p (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -5*u - 3*p - 11, -4*u - 3*p - 8 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 16*p - 4*p - 7*p. Determine r(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313732.\nAnswer: 2, 41, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -2 + 3*k**2 - k**2 + 3. Let d(g) = -7*g - 2. Let y(a) = -10*a - 3. Let m(i) = 6*d(i) - 4*y(i). What is m(c(j))?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m - 48. Let x be y(13). Suppose -3*i = -x*a + 193, -2*i + 12 = -6*i. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, -2, 13800, 2 in ascending order.\nAnswer: -2, 2, 153, 13800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/(-16))\/(-33)*-6*-14?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 6 + (-19 - -10 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(2\/88) - (-24)\/8. Sort -0.1, n, 0.5 in descending order.\nAnswer: n, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + (sqrt(13)*2 + sqrt(13) - sqrt(13)) - -1*sqrt(117) - (4 + (-2*sqrt(117) + sqrt(117))\/sqrt(9))).\nAnswer: -18*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -536 (base 9) to base 2.\nAnswer: -110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 544597?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 455613 by -320.\nAnswer: -455613\/320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1812 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + 1120012111200?\nAnswer: 1120012112002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + sqrt(832) + (1 + sqrt(832)*-2)**2 + -3.\nAnswer: -16*sqrt(13) + 3326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2779 less than or equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -653, -2222, -5285, -10340, -17885?\nAnswer: -28418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -15, 2 = 4*h + 2*o - 12. Put -2, -1, h, 0.5 in descending order.\nAnswer: h, 0.5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.21 times -0.05?\nAnswer: -0.1105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 22 + 2 + 6 + 32*x as r + q*x and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 - -81. Solve -7 = -v - h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**2. Suppose 0 = -g + 1 - 2. Let z be u(g). Let q(a) = 2*a**2 + 7*a + 10. What is the remainder when 40 is divided by q(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63379516.\nAnswer: 2, 19, 641, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 153668a (base 15) to base 4\nAnswer: 322212101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 16*h**3 + 4*h**2 - 4*h + 16. What is the units digit of v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*x - x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*z + 5 + 1)*(2*z + 2*z - 3*z)*(3 - 5 + 1)*(-2 + 0 - 2).\nAnswer: 8*z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 20. Let k be c(0). What is the least common multiple of 4\/k - 32\/(-10) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1176 divided by -32467\nAnswer: 1176\/32467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 2:34 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96755497?\nAnswer: 3041, 31817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1244331131 (base 5) in base 3?\nAnswer: -12212112220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 - -5.3. What is the closest to 0 in -0.1, 6, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -563335 by 563335.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -369879.1167 to the nearest ten.\nAnswer: -369880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 4*d**2 + 5*d**2 + 1 + 0. Let h(v) be the third derivative of 7*v**6\/120 - v**5\/12 - 5*v**3\/6 - 2*v**2 + 2*v. Calculate -h(q) - 5*u(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owf when three letters picked without replacement from oooofffooooofowoof.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2 - 10*w + 7. Calculate the smallest common multiple of 10 and l(3).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l + 13. Let m(s) = s**3 - 9*s**2 - 91*s - 1. Let g be m(-6). Suppose 0*h - 5*h = 4*c - 61, g*c - 47 = -3*h. Give f(h).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*w**4 - 1406*w**3 - 2*w**2 + 5*w + 529253 wrt w.\nAnswer: -40*w**3 - 4218*w**2 - 4*w + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-70200)\/(-2535)*(-57)\/(-684)\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {v: 4, t: 3, f: 4, a: 3, n: 6}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 23*b**2 - 20*b - 38. Let q be v(22). What is the highest common factor of q and 291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -75865, -75754, -75559, -75274, -74893, -74410, -73819?\n\"Answer: z**3 + 36*z**2 - 4*z - 75898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4 = -2. Let m be 8*(1 - (-1)\/o). Suppose 3*p = -4*j + 4, -2*j + 32 = 2*j - m*p. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -30\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.082 - -0.059. Let v = 0.105 + x. Round v to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*v**5 + 1030*v**2?\nAnswer: -1080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 593042 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -100060 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f - f)*(4 + 6 - 4)*(-3*f + 2*f + 3*f).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 140*u**2 - 4*u + 11. What is l(-1)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21081 and 399?\nAnswer: 2803773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -13*x**2 - 129*x + 3440. Give b(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 535982923?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2. Let d(k) = 9*k + 1. Calculate d(m(b)).\nAnswer: 27*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = d + 3*d - 13, 4*o = 4*d - 16. Let v = 44884\/9 + -215471\/45. Let m = v + -199. Put o, 2, m in increasing order.\nAnswer: o, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33944430 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4*16\/(-14). Let x = -3177 + 3173. Let p = -4.95 - 0.05. Sort x, p, b in decreasing order.\nAnswer: b, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -8*q**2 - 1\/3*q**3 - 47 - 20*q. Determine y(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -24, -3 in ascending order.\nAnswer: -65, -24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + -6. Let u = -19 - n. Put -2\/5, u, -5 in decreasing order.\nAnswer: u, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902442067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*z**2 - 69*z**2 + 23*z**2 + 6*z**3 + 8*z**3 - 75*z**2.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 1137?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4995, 9980, 14965, 19950, 24935?\n\"Answer: 4985*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 0*s**2 + 1\/10*s**5 - 1\/12*s**4 - s + 0 + 0*s**3. Find the third derivative of r(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 19*h**5 - 13*h**3 + h**2. Let u(w) = 9*w**5 - 6*w**3 + w**2. Let a(q) = -6*i(q) + 13*u(q). Find the third derivative of a(b) wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*g = 1, -4*g + 6 = 10. Sort t, 8, 3, -3 in descending order.\nAnswer: 8, 3, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.458047ng in kilograms?\nAnswer: 0.000000000009458047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 564 - 1979. Let j = -956 - n. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 0*k - a + 6, -3*a + 3 = -3*k. Suppose 4*v - 370 = 3*z + 10, 475 = 5*v - z. What are the prime factors of v\/(-10)*(-3 + k)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234805699.\nAnswer: 234805699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -128, 75, 414, 889, 1500, 2247?\n\"Answer: 68*u**2 - u - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-948)\/9)\/((-6)\/900000). Suppose k + 3*k + r = 0. Round k to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-226)\/(-7) + 4\/(-14). Suppose -n = -4*z - 4*j, z + 12 = 2*z + 2*j. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(1\/2)*-1. Suppose -1 = i*q - 3. Let a = 199 - 200. Sort a, q, -2.\nAnswer: -2, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71700 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 91*k - 98*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -998777.441 to the nearest 10000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - q - 1. Let u = 1483 - 1482. Let v(j) = 8*j**2 - 6*j + 1 + 2 - 8. Calculate u*v(y) - 6*s(y).\nAnswer: 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5931 a factor of 1038808617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2.9, 5, -4\/5, 1 in ascending order.\nAnswer: -2.9, -4\/5, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 8*p**2 - 7*p + 2. Let o be f(7). What is the first derivative of -o*s**3 - 5*s**3 + 4 + 0 + 2*s**3 wrt s?\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 3. Let k(v) = -17*v + 18. Let z(s) = 12*s - 13. Let x(n) = 3*k(n) + 4*z(n). Let a(p) = 2*p - 1. Determine d*x(b) - 4*a(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from {m: 5, u: 6, g: 2}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*(25 + (-8170)\/301).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:08 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101001100000 - -1001111110101?\nAnswer: -10011001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k + 36. Let b be x(3). Let h(l) be the first derivative of 3\/4*l**4 + 4*l**3 - 7 + b*l + 15\/2*l**2. Factor h(m).\nAnswer: 3*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 79*c**3\/3 + 8267*c**2\/3 + 30224*c + 87828 = 0. Calculate c.\nAnswer: -7319\/79, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*k + 9. Let p = 5 - k. Suppose 3*g = 30 - 3. Solve 4*h - 15 = -0*h + 5*l, -l - g = -p*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -121\/9 (c) 2\/793 (d) 2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159166731 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-11*j**2 - 71 + 71)*(j**2 + 0*j**2 - 2*j**2).\nAnswer: 22*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/3 + 97546*h + 292640\/3.\nAnswer: -2*(h - 146320)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 3*s + 668. Let v be l(24). What is the greatest common factor of v and 2500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from wtovvowfu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 63573 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37072010 to the power of 1\/2, to the nearest integer?\nAnswer: 6089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.5 (c) -3 (d) -388 (e) -1\/11045\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 24*y**2 + 8*y + 9. Determine g(-2).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 14\/((-56)\/(-540)) - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3421.984 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -102 + 154 - (53 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -0.03. Which is the third smallest value? (a) 1\/5 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 31*d**8\/56 + 5*d**4\/3 - d. What is the third derivative of t(w) wrt w?\nAnswer: 3720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81204?\nAnswer: 2, 3, 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3752523703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143018*m + 31349626 = -142996*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2393*l**4 - 16*l**4 - 830*l**4 + (2*l**2 - 2*l**2 + 2*l**3)*(-l + 2 - 2) - 2*l**4 + 1 - 1 in the form k*l**4 + o*l + h*l**3 + p + v*l**2 and give k.\nAnswer: 1543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 151, -177, -4 in ascending order.\nAnswer: -177, -4, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 754\/73 + 64703\/146. Let v = -514 + 79. Let r = z + v. Find the common denominator of -27\/2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(7) - -2*sqrt(7)) - (-2*sqrt(77) - sqrt(77))\/sqrt(11))**2.\nAnswer: 36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/1631 and 44\/178245?\nAnswer: 1247715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61452561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*a + 25*a - 429075 = -1457277. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/25*4*(-1)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 3, -1 in ascending order.\nAnswer: -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from vcccvtvrqq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/5, 3, 4\/7, -562\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 7, 1.2, -4\/3, 1108.5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-6))\/((-10)\/15). Solve 35 = 6*m - m - z*n, -m + 9 = -2*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 386*d**2 + 309*d + 14277. Determine m(192).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21692 is divided by 47?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -957, 1\/6, -5, 2\/29, 0.0391?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1549291 is divided by 348?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2, -0.5, 1.257, -3\/5?\nAnswer: 1.257","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1421 and 12198473.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7927 + -7888. Suppose -4*t - 36 = -o, o - 2*t = -0*t + 28. Solve -43*k + o = -h*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.22921 + 0.12921. Sort 1, 4, 114\/11, w in ascending order.\nAnswer: w, 1, 4, 114\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 4*d. Let k be m(-4). Suppose k = n + q - 2 - 5, -3*n - 5*q = -15. What is the lowest common multiple of n and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 + 272 = 6*g. Let k(m) = 2*m**2 + m - 1. Let n be k(1). Which is greater: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-156)\/(-3432)*(-246 + 2)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24965 or 24968?\nAnswer: 24965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -106, -4.\nAnswer: -106, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/96*22*(-891)\/10890.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a0908 - 1?\nAnswer: a0907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+462\nAnswer: 462.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 457*h**2. Let b(z) = 6*z**2 + 5*z. Let k(w) = -7*w**2 - 6*w. Let f(v) = 6*b(v) + 5*k(v). Determine f(y(i)).\nAnswer: 208849*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/41254974 and 23\/1467.\nAnswer: 41254974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1028549\/48 + 21431. Find the common denominator of p and 53\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1096 = -44*k + 112*k - 604. What is the remainder when 2773 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249483995?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 39 - 25)*(-18*x**2 - 15 + 5*x**2 + 10*x**2).\nAnswer: -144*x**2 - 720","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185016.\nAnswer: 2, 3, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 197480292 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 244.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1667156.5007564 and 0.9.\nAnswer: 1667157.4007564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 15*i**4\/4 - i**3\/2 - 5*i**2\/2 + 8*i - 45. Let c(y) = 23*y**2 - 2*y - 3. Calculate -5*c(l) + 3*g(l).\nAnswer: 20*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-105)\/(-30)*(5 + 1). Is 47 a factor of (-30)\/(-4)*1288\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 349 - 415. Let g be -5 + 112\/22 + (-16)\/l. Factor -g*b + 0 + 1\/6*b**2.\nAnswer: b*(b - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j - 135. Let x(k) = 11929*k. Determine x(r(s)).\nAnswer: -107361*s - 1610415","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Suppose -2*a + 13 + 11 = v. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i = -47*i + 515820. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 5*x - 7. Suppose 0 = -0*s + 4*s - 20. Give o(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 5*w + 40, 3998*p - 4*w = 4001*p - 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-962)\/(-39))\/((-2)\/6 - 0). Is -73 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/7 (b) -29 (c) 2\/7 (d) 0.2 (e) 4 (f) 281 (g) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 - 5?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/((sqrt(972) - sqrt(972)*-5) + sqrt(972)).\nAnswer: sqrt(7)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 9:31 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4521 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38566863 is divided by 1391?\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 8, 0 in decreasing order.\nAnswer: 8, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -7. Let z be -5 - (3 + 432\/l). Suppose 0*s**2 - z - 6\/13*s + 2\/13*s**3 = 0. What is s?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/32330008 and -13\/33818.\nAnswer: 32330008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from {v: 1, y: 18, c: 1}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/59 or -0.033?\nAnswer: -6\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25035 and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 240 + -108. Suppose -8*t + 12*t = n. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5773.\nAnswer: 23, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 28818.708 months?\nAnswer: 24.01559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*t + 122 = -52, 3*t - 178 = -2*c. What is the least common multiple of 36 and c?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g + 12027838901 - 12027838901.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 754, -13, 4 in decreasing order.\nAnswer: 754, 4, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/((-140)\/(-8)) - (-60)\/(-25). Which is bigger: -115 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48168.38ml in litres?\nAnswer: 48.16838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 2*k**2 + 4*k**2 - k**2 - 6*k**2 + 3*k**2 + (1 - 3 + 0)*(-3*k**2 - 2*k**2 + 4*k**2) to a*k + l*k**2 + v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 193 = -116 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 1 - 1)*(4*c**2 - 2*c**2 - 4*c**2) - 289*c**3 + 744*c**3 - 55*c**3 - c**3 - 4*c**3 + 4*c**3 in the form h + w*c**3 + z*c**2 + u*c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 15) + 2 + (-6 - -7) + -22.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 8*g - 7. Let d be k(-6). Suppose -2*m - d*j = 3 - 13, 4*m - 20 = 3*j. Solve x + 4*x = m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 2:20 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-136955)\/(-258)*(-3 - -9) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 137396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 13) to base 5.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2 + 18*v + 9. Let t(l) = l**2 - 2*l + 1. Let m(b) = -a(b) - 4*t(b). Let w be m(-5). Solve -p - 7 = -w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3084.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 15 + 1 = 0. Suppose -67 = -y*m + 25. What is the remainder when -3 + (-142)\/(-3 + 1) is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 4*v**2 - 2*v - 5. Let n be r(-3). Suppose 2*t - n = -2, 18 = 5*a - 3*t. Sort 3, 1, a.\nAnswer: 1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 418\/44*(-874)\/(-361) + -83.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84*r**6 + 7*r**2 - 8?\nAnswer: 10080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 156058\/9 - 17340. What is the closest to -2634 in 0.1, -5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13980, -13979, -13978, -13977, -13976?\nAnswer: -13975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1831 - 0.7779. Let y = o + -0.039. Which is the nearest to y? (a) -1 (b) -0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.4, 1\/6, 18, -1\/2, 0 in descending order.\nAnswer: 18, 1, 1\/6, 0, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, 178, 631, 1514, 2971, 5146, 8183, 12226?\n\"Answer: 24*c**3 - c**2 + 2*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1352*x**2 - 661*x**2 - 7056 - 343*x**2 - 184*x**3 + 447*x**2 - 4*x**4 - 543*x**2 - 7728*x.\nAnswer: -4*(x + 2)**2*(x + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*t**2 - 2*t**3 + 36*t**2 + t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26845.\nAnswer: 5, 7, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228611 is divided by 1441?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18116736 divided by 3.\nAnswer: 6038912","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35256749*i + 1401682 wrt i.\nAnswer: 35256749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 93700109 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2807191660 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -93*v + 85. Let r be j(-17). Suppose 26*z + r = 11520. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -566, -0.2, -0.1, 2.18, 3 in decreasing order.\nAnswer: 3, 2.18, -0.1, -0.2, -8, -566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, c: 11}. Give prob of picking 2 g and 1 c.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 - -106. What is the remainder when z is divided by (-44)\/(-7) + (-2)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 18. Let m be g(-8). Let u be (-2)\/(-5) - 16\/m. Suppose u*t - 6*t = -68. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*x + 34 = -595*x + 2*b + b, b = -x + 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1. Let i(m) = -m - 3. Let u(h) = 3*a(h) + i(h). Let j(d) = 2*d + 0*d + d. Determine j(u(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -2\/7 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.6. Let j(o) = -o + 1. Let z(c) = 7*c - 5. Let v(q) = -6*j(q) - z(q). Let h be v(-2). Put b, h, -1 in descending order.\nAnswer: h, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11159\/8 + -1387. What is the common denominator of o and -73\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0.5, 4\/961, 4, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*i = 68*i. Solve -u + 4 = 5*a - 4, -2*a + 2 = i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1492 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.924436 to 0 dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 105*z**3 - 2019*z**2 - 1911*z.\nAnswer: 3*z*(z - 49)*(z + 1)*(z + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.4 + 45.6. Let i = o + -53. What is the third biggest value in 3, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3*f + 50 = 49, 5*u - 50 = -2*f for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 37 = g - 6*g, 24 = -3*g - 3*w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 167544217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(243))**2 + sqrt(27)*-2.\nAnswer: -486 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from {p: 3, d: 3, i: 8, k: 3, t: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*s + 3*p = -47*s - 29, -4*p + 8 = 0. What is the least common multiple of ((-217)\/(-35) + s)*-40 and 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-149 + (-177276)\/(-1224))\/(1\/30).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d. Let x = 522 - -295. Let g(u) = 3*u + x - 817. Give g(l(m)).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u**2 - 15*u + 3. Let g(y) = 6*y**2 + 15*y - 4. Let z(r) = -4*d(r) - 3*g(r). Factor z(f).\nAnswer: 5*f*(2*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 3*x**2 - 14. Let t be l(4). Solve -12 = -0*g + 5*g - t*v, -2*v = 5*g + 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5.48 (b) 4 (c) -14\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1\/4 (c) -52687 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1210116 and -0.1.\nAnswer: 1210115.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25 + (1 - (3 + -3))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*l = -153*l + 593805 - 9925. List the prime factors of l.\nAnswer: 2, 5, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -356 + 358. Suppose -h*k + 6*b + 5546 = 10*b, -3*b = -3*k + 8292. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 17*j**2 + 2*j - 4. Let f(k) = -k**3 - 9*k**2 + k - 2. Let c(d) = -7*f(d) + 4*s(d). What is c(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19340 - 19339.6. Which is the smallest value? (a) -0.24 (b) m (c) -6 (d) 0.3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 132*t. Let i(o) = -134*o. Give 3*i(r) + 2*j(r).\nAnswer: -138*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -78*9\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 1, 167 in decreasing order.\nAnswer: 167, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 30205235?\nAnswer: 30205244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8856 + 8855 - 30*h - 17710.\nAnswer: -30*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -695 = -5*y - 0*y. Let x = y - -131. Suppose 104 = 2*i - x. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 32830268*d**2 + 67364238135084*d - 336820369919220.\nAnswer: 4*(d - 4103781)**2*(d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 2*v, v + 3*x - 17 - 23 = -20 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1395053 is divided by 246?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2787752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2. Let f(o) be the first derivative of -25*o**2\/2 - 4*o + 26. Let g(b) = -24*b - 3. Let m(k) = 3*f(k) - 4*g(k). Calculate u(m(y)).\nAnswer: 441*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckcvkckkkc. What is prob of sequence kc?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (7 - (-1 + 7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -2*x**3\/3 - 92. Let t(q) = -18*q**2. What is n(t(o))?\nAnswer: -648*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 105478.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-6)\/12)\/((-1)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 2 - 5*z + 3*z + (-4 + 4 - z + (0*z - 2*z + 3*z)*(-4 + 0 + 2) - 3 + 3 - 3*z)*(-14 - 8 + 30) to r + q*z and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 1, k: 1}. Give prob of sequence ks.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 1, -1 in descending order.\nAnswer: 7, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (46836\/15)\/(-3)*(-5)\/2. Let k = 1502 - d. Round k to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f. Let x(g) = -26147*g**2. Calculate b(x(y)).\nAnswer: 183029*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1733, 3473, 5213, 6953, 8693, 10433?\nAnswer: 12173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 139, 232, 319, 394, 451?\n\"Answer: -d**3 + 3*d**2 + 91*d + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13 + 12)\/((-1)\/14). Let y(t) = -273*t + 273*t + i*t**2. Let k(q) = q**2. What is y(k(v))?\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 639*s + 6*s - 472412 - 646*s + 472412.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*a + 197*a + 10 - 124*a - 2*a**2 - 37*a + 61.\nAnswer: -2*a**2 + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7*b - 76 = 0. Let w(c) = 3*c**3 + 71*c**2 - 28*c - 2. What is the remainder when w(-24) is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612631.8 meters in centimeters?\nAnswer: 61263180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = g + 10. Let s be 4\/g + 74*(-25)\/5532. Let p = s - -29511\/6454. Find the common denominator of p and 14\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60720.\nAnswer: 2, 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 3:49 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**3 - 2*v**2 + 1. Is 3 a factor of c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = -4*i. Let j be (-1 - i) + 1 - -1. Let w(z) = 4 - 4 - z**3 + 2. Calculate w(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1527*u**2 + 13*u**3 + 29*u**3 - 1526*u**2.\nAnswer: 42*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/((-4)\/(-6)). Let f = -59 + 64. Suppose f*l + n = 6*l. What is the least common multiple of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g + 18. Let y be w(3). Suppose 5*p + 871 = y*z, 4*p + 582 = 3*z - z. Calculate the remainder when z is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6862, -6532, -6226, -5956, -5734, -5572, -5482?\n\"Answer: -2*w**3 + 344*w - 7204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -12*p + 13833. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t + 21 - 21 + (-1 + 5 - 3)*(-2 + 2 + 2*t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5805 = -7*h - 2*h. Suppose -h + 163 = -2*n. What are the prime factors of n?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72768.85 litres to millilitres.\nAnswer: 72768850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 - -3.06. Let x = -0.18 - 0.42. Sort y, x, -2\/13 in descending order.\nAnswer: y, -2\/13, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28455322 by -2.\nAnswer: 14227661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33648 by -11216.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 7. Let y(p) = p - j + 0 - 2. Determine y(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a*a\/((a*a**(-23))\/a*a))\/a*a*a*a**26 assuming a is positive.\nAnswer: a**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4 = -2*g + g, 5*j = 5*g - 40. Suppose -2*d + 16 + g = 5*p, -2*p = 3*d - 35. Let w = d + -9. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -36058*b. Let g(k) = 6*k**2. What is p(g(j))?\nAnswer: -216348*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 1766?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 + 73.28. Let o = 3.12 + i. Let w be 1*3*1\/1. Sort w, o, -0.5.\nAnswer: -0.5, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -16. Let i(j) = j**3 - 6*j**2 - j - 5. Let b be i(6). Let z = b + s. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -427\/18 + 596\/9. Find the common denominator of 23\/(3542\/1562)*2\/56 and z.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, 60, 221, 544, 1083?\n\"Answer: 9*h**3 - 10*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/168*3104\/582\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1)*j*j)**(-17)\/(j**6*j*j**(1\/3)*j)*j**(-3\/7)*j\/(j\/(j*j*j*j**5*j*j))*(j*j**(2\/3)*j)**28 assuming j is positive.\nAnswer: j**(880\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20556647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1670\/210 - 8)\/((-6)\/18)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 2*z**2 - z. Let j be r(1). Suppose -4*q + 27 = -3*x, j*q - 16 = -2*q + 2*x. What is the first derivative of 0 - q + 0*k + 3*k + 2 wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53810755 or 53810764?\nAnswer: 53810755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/5160*43*(-48)\/(-9).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*k - 45*k - 12706 = -204*k - 53470 for k.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/13326 and -67\/4442?\nAnswer: 13326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91874 is divided by 30552?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**2 - 5. Let w(x) = 9*x**2 - x + 9. Let y(f) = 5*r(f) + 3*w(f). Let d be y(2). Sort d, -5, 3 in ascending order.\nAnswer: -5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*o + 29*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 7:05 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 minus 11366?\nAnswer: -11365.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 463225 minus 3042955?\nAnswer: -2579730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/((-32)\/(-48)). Suppose 2*w - w + t = -b, 2*t = 3*w - 17. Solve l = 3*v + 3*l - 8, -2*l = -w*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 224.6812 + 0.3188. Which is the second biggest value? (a) z (b) 4 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*n - 350. Suppose b = -4*b - n. Let z be ((-18)\/(-5))\/((-7)\/b). Calculate the highest common divisor of 45 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 2*s - 1. Let k(z) be the second derivative of -z**4\/3 - 7*z**3\/6 + 3*z**2\/2 + 4*z. Suppose 2*c - c = -7. Calculate c*x(p) - 2*k(p).\nAnswer: p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48936 is divided by 12128?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1491*c**4 - 128784*c**2 - 291993201*c?\nAnswer: 17892*c**2 - 257568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 45. Let a(h) = -h**3 + 6*h**2 + 19*h - 15. Let p be a(7). Suppose -p = -g*u + 5*u. Put 2, u, -3 in increasing order.\nAnswer: u, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + p**3)*(29*p - 598*p - 1331*p - 1422*p).\nAnswer: -3322*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1104 (base 6) to base 13.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 6266*k.\nAnswer: k*(k - 6266)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4934317 to the power of 1\/2, to the nearest integer?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4600\/(-6) - (44\/(-3) - -14). Let k = -720 - p. Calculate the remainder when 413 is divided by k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/660 and 58\/55?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 7) in base 3?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4*s - 10. Let k(y) be the third derivative of y**5\/30 + y**4\/12 - y**3\/3 + 2*y**2. What is the units digit of k(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3505 is divided by 546.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8563 less than 2?\nAnswer: 3.8563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(2\/51))\/(o\/(o\/o**(5\/7)*o)))\/((o*o*o*o**(-13\/7))\/((o**(-2\/13)*o)\/o)))**(6\/11) assuming o is positive.\nAnswer: o**(262\/17017)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 15 = -2*r, 2*r - 10*f = -5*f + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 y, and 1 g when three letters picked without replacement from {g: 1, n: 1, w: 2, y: 3, i: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25418.91 years to decades.\nAnswer: 2541.891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 37. Let i = 77 - -8. Suppose -2*f + f = 0, i = 5*p + f. What is the remainder when h is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s, -4*n - 6 = -3*s + 24. Let h(d) = -d**2 - 9*d - 11. Let k be h(n). Let j = -2 + k. Solve 3 = -4*f - j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3375\/4 + -828. Calculate the common denominator of -23\/94 and n.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-2 + (2 - 2)). Suppose g = -h*n + 2 - 60, 0 = n + 2*g + 26. List the prime factors of (-1 + 16)*n\/(-25).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 27 - (-8 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -6.55.\nAnswer: 0.5895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**4 + 250*h**3 + 84*h**2.\nAnswer: -2*h**2*(h - 42)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 6. Let i(r) = r - 10. Let f be i(6). Let p be o(f). Is (-2367)\/6*p\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**(2\/23))\/(q\/q**(6\/7)))\/(q**(1\/3))**(2\/51))**(19\/7) assuming q is positive.\nAnswer: q**(903773\/172431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21202.238 + 30.\nAnswer: 21232.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-3)*4 - -1. Suppose o = g*o. Let 1\/5*y**2 - 1\/5*y + o = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34)\/(-6) + (-4)\/6. Let m = a - 0. Solve z + z = 3*g - 16, -m*g + 4*z + 30 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*6\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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 w = -523 + 523.00000281. Round w to seven decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -394 + 371.1. Let q = c - -22.88716. Round q to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 335 - 22429?\nAnswer: -22094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 53*p + 9. What is u(1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 665274 to the nearest one thousand.\nAnswer: 665000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1081157 is divided by 65.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4*(8 - 8). Are 5\/22 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) -1\/6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -184*w - 107. Let p(v) = 530*v**2. Give h(p(m)).\nAnswer: -97520*m**2 - 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -13*s - b - 14231, 7115 = -2*s - b. List the prime factors of s\/(-12) - (-14)\/4.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -243.25+-111735962\nAnswer: -111736205.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i - 168. Let o be m(21). Suppose 13*g - 1465 + 35 = o. Calculate the highest common factor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 246.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -532390 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 + 74. Let r(g) = -2*g**3 + 3*g - 3. Let f(o) = -25*o**3 + 40*o - 40. What is i*f(m) + 40*r(m)?\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 422248 by -376.\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75.23 + 2198.38. Round t to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, 1, 0.28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6047, -41995, -139575, -329603, -642895?\nAnswer: -1110267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 11*x**2\/2 - 29*x - 5. Let g be r(7). What is the highest common factor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a + 2 + 6*a + 4*a - 3*a. Let m be b(2). Solve m*l + 32 = -5*v + 4*l, 0 = -l - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 40, -3, 0, -12 in descending order.\nAnswer: 40, 32, 0, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/(-16))\/(-7))\/(-8*(-1)\/(-104)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560*t**4 - 30261774*t**3 - 545102957346*t**2 - 3272937027092858*t + 385746578461002 = 0 for t.\nAnswer: -18013, 33\/280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**13*l*l*l)**(13\/7)\/(l*l**(2\/5)*l)**(-13\/5) assuming l is positive.\nAnswer: l**(6292\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m. Suppose 51*s = 6*s - 270. Let q(o) = 4*o**3 - 2*o. What is s*z(f) - 3*q(f)?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -54 (b) 0.092 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -202, -189, -176?\n\"Answer: 13*t - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-8)\/(-3 - 1). Let z = y - 3. Let b(g) = -4*g**2 - 4*g - 2. Calculate b(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 39*h**3 + 4*h**2 + 4. Let p(z) = -78*z**3 - 9*z**2 - 9. Give -9*l(f) - 4*p(f).\nAnswer: -39*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 244 = -2*c, -c + 6*c + 3*f - 588 = 0. Suppose w + c = -4*w. Let l = w - -66. What is the highest common factor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9932, 14236, 21450, 31580, 44632, 60612, 79526?\nAnswer: 101380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*2\/(4\/2). Let g be 7258\/(-90) - (-495)\/225. Let b = g + 7760\/99. Is b > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -217, -329, -465, -631, -833?\n\"Answer: -o**3 - 6*o**2 - 87*o - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of ((-7828)\/14)\/((-153)\/1071)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17016 and 24?\nAnswer: 17016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1787882021 to the power of 1\/4, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8*t + 351. Calculate the remainder when m(25) is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, 3, 77, 6 in decreasing order.\nAnswer: 77, 12, 6, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 4477101\nAnswer: -1\/4477101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423119 (base 12) to base 3.\nAnswer: 1221221120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 46 - 20. Solve -6 = -r*a + 9*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 39*y**3 + 5*y**2 + 7*y + 28. Let s(r) = -11*r**3 - 2*r - 9. Let h(j) = -7*s(j) - 2*t(j). Calculate h(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 505 = -242. Let z = -81 + l. Suppose -z*k = 7*k - 405. Calculate the remainder when 177 is divided by k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-2\/13)*x)\/(x**(4\/13)*x))\/(x*x**(4\/5)\/x)**(2\/21) assuming x is positive.\nAnswer: x**(2416\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 7*r**2 + 9*r + 1. Let i be o(8). Suppose 18*p = -2 + 110. Suppose -i*d = -p*d - 51. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -4 - 18) + 990\/33?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2\/5 + 37228*g\/5 + 8549366 = 0.\nAnswer: -1085, 19699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 41. Put -7, -2, 2, z in decreasing order.\nAnswer: z, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -101.86?\nAnswer: 101.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 130793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 12. Suppose -x + 25 = -16*u + 13*u, -5*u + 2*x - 44 = 0. Let f(k) = -3*k - 25. Give u*f(b) - 13*v(b).\nAnswer: 5*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 783211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111555 - -111560. Solve -6\/13*f + 0 + 8\/13*f**3 + 4\/13*f**4 - 2\/13*f**o - 4\/13*f**2 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.29 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11678 - 11681. Which is the closest to 1? (a) 1 (b) 2\/29 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 6 = r - 2*u, 3*u = -5*r + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5 + 120*p**2 - 8*p**4 - 124*p**2 + 10*p**3 - 2 + 2 = 0. What is p?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31600 and 20540?\nAnswer: 410800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3 - 1350*l + 90*l**2 + 6750 + 31*l**2 - 31*l**2 = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**2 + 43*n + 37. Let b = -149 - -164. What is the remainder when y(b) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 3:27 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (3 + 6 + (3 - 6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -1\/60*u**6 + 0*u + 0*u**3 + 39 - 17\/8*u**4 - 3*u**2 + 1\/15*u**5 + 4\/105*u**7. Find the third derivative of o(j) wrt j.\nAnswer: 192*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 4:46 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 137 + 172 + 2142 + 452.\nAnswer: 3*z + 2629","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646866?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22\/7 (b) -21 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/10 and -23\/630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31, 57, 101, 163, 243, 341?\n\"Answer: 9*o**2 - o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/((-21 + 17)\/1332) is divided by (-8)\/(-6)*9*4?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 8*m**2 - 3*m**2 + (7 - 7 + 2*m)*(m + 1 - 1))*(5*m**2 - 5*m**2 - 4*m**2).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, t: 1, x: 1, o: 1, r: 1}. What is prob of picking 1 x, 1 r, and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + 0)\/(700\/1680). Solve -21 = 5*f - r*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -996*h**2 - 34886*h - 910 = 0. What is h?\nAnswer: -35, -13\/498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 - 21*u**3 + 1449*u**2 - 5940*u**2 + 4491*u**2.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 8. Determine r(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 57, 82, 105, 126?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 61520, 123157, 184794, 246431, 308068?\n\"Answer: 61637*v - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 45 = -5*h, -7*c + 5*c - 27 = -3*h. What is the lowest common multiple of h and 86?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002093 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204467 is divided by 4350.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - a**3 - a**2 + (0 - 2 + 0)*(-45*a + 45*a + 61*a)*(a**2 - 4*a**2 + a**2).\nAnswer: 243*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 559207*d - 2796045. What is k(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184\/(-17) + (1363\/232 - 6)*-88.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0, 10, -2\/19, 174833\/7?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6312660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -623, -1, -113220 in ascending order.\nAnswer: -113220, -623, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82.9 + -83.2. Let l = -0.7 + 2.7. Which is the second smallest value? (a) h (b) 1.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4920537 to the power of 1\/2, to the nearest integer?\nAnswer: 2218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*t + 6 = -62*t, -5*s - 39 = -4*t. Sort -1\/16, s, 1\/3.\nAnswer: s, -1\/16, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 290, 289, 288, 287?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 1. Let d(h) = 7*h**2 + 4. Let j(o) = -3*b(o) + d(o). Let f be 0 - -6 - (7 - 2). What is the remainder when 24 is divided by j(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - z + 10, 9*z = -4*a - 370 + 362 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2 - 15736*l = 0. Calculate l.\nAnswer: -3934, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/36175893 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 + 2935 = 13*n - 288*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 10*y**2 + y + 6. Let n be (-1872)\/(-180) + 2\/10*-2. Give z(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*j = 238*j - 4. Solve z - j = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 1589 = 1351. Is 49 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -885*v**5 + v**4 - v**3 - 63083*v + 2.\nAnswer: -17700*v**3 + 12*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74154?\nAnswer: 2, 3, 17, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = h - 4*a, a + 12 = 4*h - 18. Let k(m) = -m**3 + m**2 + 42*m + 6. What is k(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**3 - 47538*r**2 - 332895*r - 285354 = 0.\nAnswer: -6, -1, 15853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-165 + 148 - 138)*(-2 - s + 2)*(0 + 1 + 1).\nAnswer: 310*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9061 and 132795.\nAnswer: 92558115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 23*f**2 - 41*f + 23. Let t be k(-21). Suppose -2*c = t*p - 232, -2*c - 128 = -3*c - 4*p. Calculate the greatest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**5\/15 + 85*c**4\/3 - 14450*c**3\/3 + 1228250*c**2\/3 - 52200625*c\/3 + 98. Determine f so that t(f) = 0.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 - l. Let p(h) be the third derivative of -h**2 + 5\/6*h**3 + 1\/24*h**4 + 0 + 0*h. Let b be p(-4). Give y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(175\/10)*(-5)\/(-7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 3 = w, -5*b = -7*b - 2*w + 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*i + 89*i + 4*t - 10779 = 0, 4*i = t + 14391. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/5 - 4*k**3\/5 + 2*k**2\/5 + 12*k\/5 - 9\/5 = 0. Calculate k.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + y - 9, 0 = -2*y - 1 + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u - 173 = -b, -4*b - 67 = -26*u - 41*u + 72*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**6\/120 + a**5\/15 + a**4\/12 - a**3\/6 - a**2 - 44. What is l(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -22, -14, 8, 50, 118, 218, 356?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110 - 109.9398. What is z rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(22\/9)\/x)\/((x*x\/x**3)\/x)*(x*x**(5\/6)*x*x*x*x)**3 assuming x is positive.\nAnswer: x**(377\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43440120 + 5?\nAnswer: -43440111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 1. Let v(d) = 3*d**2 + 11. Give -22*b(n) - 2*v(n).\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -23*u - 144. List the prime factors of n(-43).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/5))**(-4\/23))**(-2\/21)\/(((i*i**(-1\/3))\/i*i)\/((i\/i**(-2))\/i))**(-47) assuming i is positive.\nAnswer: i**(-151348\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*g, 9*g - 5*g = -5*k + 11. Let f(p) be the first derivative of 5*p**3\/3 - p**2 - p + 2. Calculate f(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 143*l + 60. Let n(b) = -145*b - 79. Determine -4*c(x) - 3*n(x).\nAnswer: -137*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 6*y**2 + 4*y - 4. Suppose 0 = -19*o - 597 + 103. Let m be 66\/(-99) - (-1)\/6*o. Give c(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -9\/8, -28, -173, -2?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 2*o**2 + 2*o - 3. Let j = 5 - 10. Let q be j\/((-10)\/6) + -1. Calculate g(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + 0.11. Let t = -0.788 - 0.212. Which is the fourth biggest value? (a) p (b) t (c) -5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*o = -64, 4*h + 2*o + 14 - 124 = 0. Suppose -2*g + g + 1 = 0. Calculate the remainder when (-126)\/(-16) + h\/232 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 9*t**2 + 1743*t + 20574. Determine r(-12).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 4*d = -5*r - 242, -2*d + 104 = -2*r. Let a = -40 - r. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 63*x - 1096. What is the remainder when t(-78) is divided by 2\/(-1 - 1) - -20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -643383, -644296, -645209, -646122, -647035?\n\"Answer: -913*h - 642470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 7 = 8, 2*b - 42 = -2*p. Calculate the highest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025694 less than 0?\nAnswer: -0.025694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1303 + 1314. Calculate the highest common divisor of m and 1287.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, w: 2, l: 6, c: 3, k: 3}. What is prob of sequence wsw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6606?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*k - 116*k + 330*k to the form o + n*k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 230?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/30)\/((-57)\/855)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2\/7 - 1474*z\/7 = 0.\nAnswer: 0, 737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (-129)\/(-9))\/(4\/30). Let r = p + 87. Put -1, r, 1, -4 in descending order.\nAnswer: r, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3475535 divided by 5?\nAnswer: -695107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*i = -29, -2*i - 39 = -2*p - 3*p. Suppose -13 = -4*o + p. Suppose o = 4*c - 71. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403, -1532, -3389, -5974, -9287?\nAnswer: -13328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -10*k**2 + 27*k - 122. Calculate g(7).\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - c + 1, -5*c = -9 - 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 778, 775, 770, 763?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2825*5\/(25\/4). Round o to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 501?\nAnswer: 4a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 216280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 374.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 770 and 210?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 3*n. Let d be l(4). Let h = 102 - 58. Let f = h - 43. Which is greater: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4005? (a) 4 (b) 3 (c) -1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzlzrf. Give prob of picking 1 r and 1 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(8\/((-16)\/6))\/(-3). Suppose u*g = -f + 164, 5*f - g = -4*g + 798. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 8*f**2 - 8*f - 2. Let m be j(-7). Let z be 29\/6 - 5\/(-30). Suppose 3*w - 117 = k + 4*k, m*k = z*w - 205. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311251385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -315*3256.5\nAnswer: -1025797.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2219*p**2 + 2214*p**2 - 4432*p**2 + 30*p in the form s + v*p**2 + n*p and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-28) - 102*(6 + (-1205)\/70). What is the highest common factor of z and 9009?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208933, -208952, -208987, -209044, -209129?\nAnswer: -209248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465303003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17052\/3045)\/(8\/70).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30768 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*v**4 - 13800896*v**3 - 38642340*v**2 + 8280504*v = 0. What is v?\nAnswer: -690042, -3, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2130, 4270, 6416, 8574, 10750?\n\"Answer: j**3 - 3*j**2 + 2142*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 26. Let w(d) = 8*d**2 + 2. What is w(i(z))?\nAnswer: 32*z**4 + 832*z**2 + 5410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 183757\/5 - 36703. Find v, given that 154*v + 76*v**3 - 10*v**4 - 172*v**2 + 2\/5*v**5 - g = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*y + 92*y = -209*y - 150*y - 16110 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*v**2 - 18*v**2 + v - 15*v**2 - 2*v + 4 - 6*v**3 to the form t + s*v**3 + h*v**2 + p*v and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1845 is divided by -18*((-2)\/(-9))\/((3\/3)\/(-6))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 508861648 and 608?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 389605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {l: 1, a: 1, b: 1, g: 1, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (-11438)\/473 + (-67)\/(-429)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 454 and 111245436.\nAnswer: 111245436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 3:26 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 8*c + 7. Let y be k(7). Suppose -h + 3*h = y. What is the units digit of h\/(-2 + 3) + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/4)\/(7630\/2540 - 3)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6770 - -2?\nAnswer: -6769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212388911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133661 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12191950 rounded to the nearest ten thousand?\nAnswer: -12190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*n**3 + 10*n**3 + 16*n**3 + (-3 + 3*n**2 + 3)*(2*n - 3*n - 4*n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 9*z**2 + 7*z - 6. Let g be c(-8). Let x(j) = 7*j**g + 3 + 3 + 0 - 8 - 10*j. Let b be x(7). What is b rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1320 by -165.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58 and 66062?\nAnswer: 66062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.114 - 29.675. Let s = h + 9.6. Let c = s - -2.961. Which is bigger: c or -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -11, -17, -23?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61510180870 + -532.5.\nAnswer: 61510180337.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m. Let l(q) = -10059*q**2 - 7*q. Give l(k(z)).\nAnswer: -40236*z**2 - 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(1\/(2\/(-4)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, 5, 17, 3, -58, -109.\nAnswer: -109, -58, -9, 2, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3180*a - 19095. Give n(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38*(1 + -4 + 5). Suppose -71*k - 465 = -y*k. Let c = k - 74. Calculate the greatest common factor of 209 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19 - -9) + (-960)\/(-110). What is the nearest to j in 5, 2, 3\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1344460 + 75?\nAnswer: -1344363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -284, -594, -906, -1220, -1536, -1854, -2174?\n\"Answer: -o**2 - 307*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 - 205. Solve -6*m - 15 = -4*w - m, -5*w - 2*m - n = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246393 is divided by 1850.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 523.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(260)\/(-3*(sqrt(10) + sqrt(60)\/sqrt(6))))\/(sqrt(2) + (sqrt(10)\/sqrt(20) - sqrt(2)) + (sqrt(2) - (sqrt(6)*-2)\/sqrt(3)))*1)**2.\nAnswer: 52\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2942*o - 107834 - 99156 - 20637 = 13617 for o.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -12 - 9*b + 2 + 1 - b**2. List the prime factors of n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*a**3 + 23*a**3 + 26*a**3.\nAnswer: 79*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73923 is divided by 320.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5339779\/6 + 885173. Suppose -z - 4230 = -2*q + 538, -5*q - 23825 = 5*z. Let a = i - z. Find the common denominator of 39\/7 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 0.0625 (c) -0.2 (d) -2292 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1848, -4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*(sqrt(18)\/sqrt(6) - sqrt(3)) - 1*sqrt(192)))**2 + (-3*sqrt(108) + sqrt(27))\/(sqrt(144)*-5 - sqrt(9)).\nAnswer: 5*sqrt(3)\/21 + 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 7, -1 in descending order.\nAnswer: 23, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -79, -100, -135, -190, -271, -384, -535?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 211 - 151 - (0 + -8)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**3 - 9*g**2 - 4*g - 4. Let j(b) = -6*b**3 - 8*b**2 - 3*b - 3. What is -3*c(r) + 4*j(r)?\nAnswer: -3*r**3 - 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 50, 102, 154, 206, 258?\n\"Answer: 52*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-24)*(-21)\/14)\/(10\/26).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 - 4 + 4 + (0*t**3 + 0*t**3 + 2*t**3)*(1 + 4 - 7) + 5*t**3 - 2*t**3 - 2*t**3 - 82*t**3 + 23*t**3 - 47*t**3.\nAnswer: -111*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 q when three letters picked without replacement from {m: 2, q: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(5\/4)*z*z)**(2\/47)\/(z**(2\/9)*z)**5 assuming z is positive.\nAnswer: z**(-5017\/846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 1 + 5. Solve -y = 2*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 73 - 38 - 37 - 3*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2226.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*-0.5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 9148 = 4*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83070677 is divided by 616.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -36144043.5?\nAnswer: -36144043.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -814 - -816. Let t be w\/13 + (-1406)\/(-494). Find i, given that 0 + 0*i - 2\/7*i**4 + 0*i**2 + 0*i**t = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**5\/2 + 2110*b**4 - 147640*b**3 - 6325*b**2 + 877445*b\/2 + 295295 = 0.\nAnswer: -1, 2, 77, 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 270*v**3 - v**2 + v. Let a be (5\/15)\/(5\/15). What is the units digit of y(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*n - 6 = 4, 18 = 2*h + 3*n. What is the least common multiple of h and (-6)\/7*(-171 - -136)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 55.76534 rounded to 2 decimal places?\nAnswer: 55.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 22044389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 10:26 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 17 = 2*l, l = 5*q - 6 - 44. Suppose -5*x = -6*x + 63. What is the greatest common divisor of q and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 0*f + 0*f - 3*f**2 - 3 + f**3 + 0*f**2. Determine c(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaaa when four letters picked without replacement from {c: 1, o: 3, a: 16}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.9 - -0.1. Let t(p) = -p + 22. Let m be t(22). Which is the closest to m? (a) 2 (b) k (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 15 = v, 2*q - 4 - 2 = 2*v. Suppose q*b - 11 = 5. Suppose -5*f + 2*z + 10 = 0, -f = -3*z + 14 - 3. Is b equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -23. Let z = l + -14. What is the units digit of (-10)\/(-25) - 3\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24788.684 + 25000. Let y = s - 212. Let f = 0.5 + y. Round f to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1766787 to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 20344095?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 595803 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -55*c. Let v(s) = -22*s + 6. Let o(l) = 25*l - 7. Let a(h) = 6*o(h) + 7*v(h). Give a(p(m)).\nAnswer: 220*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-475)\/(-7) + 12\/84 - 2. Let k = 464\/7 - r. Is 0.08 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 42.7.\nAnswer: -47.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*c*s**4 + 3695*c*s - 144*s**4 + 5*s**2 wrt s?\nAnswer: -1200*c*s - 3456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2748 + 11085\/4. What is the common denominator of a and -62\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17778c + 11?\nAnswer: 17779d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 32*g**2. Let v(w) = 1571*w. Calculate v(u(c)).\nAnswer: 50272*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14668244 minus -0.01212395?\nAnswer: -14668243.98787605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13017.0000193 + -13017. What is o rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from uiujjuuvxuvoo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**2 - 5. Let n(l) = 8 + 11 + 17*l**2 + 2 + 0. Calculate 2*n(r) + 9*x(r).\nAnswer: -2*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*a)*(-2*a + 1 - 1)*(-66*a - 24*a - a) - 4*a + 4*a + 2*a**3 in the form r*a**2 + n*a**3 + f + z*a and give n.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*c + 40 = 0, 2*v - 182 = -3*v - 2*c. Suppose 5*g - 2*g = v. Calculate the least common multiple of (-6)\/g - 45\/(-2) and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1381166, -2762333, -4143498, -5524661, -6905822, -8286981, -9668138?\n\"Answer: w**2 - 1381170*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2158 and 351130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**9\/7560 + g**7\/1260 + g**4\/2 + 5*g. Let p(x) be the third derivative of r(x). 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 643 minutes after 6:14 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(12\/(-9)) + -29. Let s = 9 - c. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151.662 + 5718?\nAnswer: 5566.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 21*d**2 + 35*d - 7. Let f be h(-22). Let z = 440 + f. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 396 and 924.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/15*33 + (2 + -14 - -7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*i**4 + 250536*g*i**3 - 516729*g*i wrt i.\nAnswer: -12*g*i**2 + 1503216*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - i = -0*i + 138, i = 3*w - 103. Suppose -3*b + 9 = -3. Suppose -w = -u - b*u. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 16 = 2*s, -g - 12 = -4*s + 4*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 1*10\/(-2). Suppose 8*o + 2*m = 5*o + 20, -9 = -2*o + 3*m. What is the lowest common multiple of (w\/5)\/((-8)\/60) and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4788661711?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + (-7 + 5 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.482727 minus -142?\nAnswer: 142.482727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -149*p**2. Let n(u) = 3*u - 101. What is n(l(z))?\nAnswer: -447*z**2 - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/153)\/(-4*4\/168).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1189\nAnswer: -5\/1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 1\/5*w**5 - w + 5\/2*w**2 + 0 + 0*w**3 + 0*w**4. Differentiate y(g) with respect to g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s + 9. Suppose 0 = -s*t - c + 275, t - 110 = -6*c + 2*c. Calculate the greatest common divisor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876095786?\nAnswer: 2, 61, 7181113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91.9491066 - -91.95. What is f rounded to five decimal places?\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 66*k. Let z(n) = 7*n**2 - 13*n**2 + 2*n**2 - n**2 + n**2. Give z(t(w)).\nAnswer: -17424*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 36199 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 4, 0.3, -1.6, 6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.4, -3\/4639, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.1082 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-10) - (-56)\/10. Let i = 124 + -114. Suppose 6 - 26 = -i*d. Solve o - 10 = 5*x, -3*x + v*x + 6 = -d*o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 1. Suppose 2 = -5*f + 7. Let h be o(f). Suppose z + 3*j = 29, -5*z + 2*z + 120 = -h*j. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**6\/120 - 2*g**5\/15 + g**3\/6 + 2*g**2. Let p be u(-8). Suppose -p = q - 6. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 39*b - 42*b. Is 4 a factor of b*(0\/(-2) + 1 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3645, -14544, -32709, -58140?\nAnswer: -90837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 97*m**7\/210 - m**5\/30 - 43*m**3\/6 - 10*m**2. Find the third derivative of u(j) wrt j.\nAnswer: 2328*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**2 - r**2 + 0*r**2 + 118778 + 516*r**2 - 118778 + r**2 + r**2 - r**2 + (-3 + 3 - 2*r)*(-r + 2*r + 0*r) + 2 + 5*r**2 - 2.\nAnswer: 522*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - s**2 + 1 - 4*s + 4*s - 2*s**2 + (-3*s + s + 4*s)*(2 - 2 - s) - 2*s**2 + 1 - 1 - s**2 - 22*s**2 - 5*s**2 + 2*s**2 - 4*s**2 + 4*s**2.\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 534 or 681?\nAnswer: 681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 9:04 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2\/3, -49, -129?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73220 by -140.\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*a + 4, 0 = -2*d - a + 5 + 4. Suppose -36 + 526 = d*w. What is the remainder when w is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2888571007?\nAnswer: 7, 19, 449, 48371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 6) to base 16.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*g**3\/5 - 252844046*g**2\/5 + 28896460*g - 20640328\/5 = 0 for g.\nAnswer: 2\/7, 5160082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 6:43 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32062 a multiple of 391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7326 and 121434.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojdo when four letters picked without replacement from {d: 3, o: 7, j: 2}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3 - 38*v + 60 = 0. Calculate v.\nAnswer: -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012110222211 (base 3) to base 11.\nAnswer: 3a7378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 i when three letters picked without replacement from {n: 1, i: 6, k: 7}.\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.1 - -7. Let r = a - 0. What is the nearest to 0.1 in r, 0.1, -3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -1. Let g = -12 - -13. Let h(l) = -89*l**2 + 192. Let k(z) = g*h(z) + 3*q(z). Differentiate k(b) wrt b.\nAnswer: -178*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from xxxdoxddddxfmtdo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 7:48 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 8, 5.\nAnswer: 5, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**4\/3 + s - 49. Let n(y) be the third derivative of -y**5\/30 + y**2 - 27. Calculate m(n(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(468)*-2.\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 153886 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 239119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71.977 + 72. Let m = -4.023 + w. Let n = -2312\/13 - -178. Which is the third biggest value? (a) m (b) 5 (c) 1\/2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (52\/(-78))\/(3\/(-18)). Let f(s) = 1327*s + 355. Is f(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -81. Let z(h) = 17. Let s(x) = -b(x) - 4*z(x). Let c(k) = k + 64. What is 2*c(p) - 11*s(p)?\nAnswer: 2*p - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (-2*(3*(sqrt(242) + 1) - (1 + sqrt(242))*-1))**2).\nAnswer: -77745 - 7040*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1055 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*14*42\/(-42)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 - 1.42. Let s = m - -3.1. Round s to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1103 and -579.\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1895 is divided by 467?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 860 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2335705718 + 7*i + 43*i + 2335705718.\nAnswer: 50*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 30*i**3 - 29*i**3 - i + 3*i**2 - 5*i. Let k(n) = 2*n**3 + 2*n**2 - 13*n. Determine 6*k(l) - 13*w(l).\nAnswer: -l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 3*y - 6. Let k = -48 + 32. Let m = 21 + k. Let o be z(m). Solve -4*g - 3 - 6 = 3*l, -o*l - 2 = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 36*s = 0. Suppose 5*y + y - 48 = s. What is the smallest common multiple of y and 74?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178492882.\nAnswer: 2, 89, 1002769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63342581063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6*-1)\/(-3) + 0. Let o(x) = -2*x**2 + 12*x + 11. Let y be o(6). Find the third derivative of i**2 + y*i**u + 3*i**2 + 11*i**4 - 2*i**2 wrt i.\nAnswer: 264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/260 and 59\/84.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.06? (a) -0.3 (b) -4 (c) 0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-253)\/(-46))\/((-209)\/2280).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 66\/9*((-171)\/38 - -6). Solve 0 = -d*q + 14 - 36 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 8:23 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 11*p + 624. Let z be v(-51). What is the greatest common factor of z and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753018 is divided by 249424?\nAnswer: 4746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8071, 8073, 8075, 8077, 8079?\n\"Answer: 2*m + 8069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -10*l**2 + 2*l**3 - 8*l**2 + 14*l**2 + 2 + 3*l. Is 8 a factor of i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Let m be ((-42)\/35)\/(-3 + 9\/6). Put z, m, -1 in descending order.\nAnswer: z, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7578 (base 11) to base 15.\nAnswer: 2e72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**4\/2 - 1235*u**3 - 26920*u**2 - 61405*u + 919275\/2 = 0.\nAnswer: -17, -7, 3, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyga. Give prob of sequence yy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -8. Let f(w) = 369*w + 3534. Let a be f(-9). What is the units digit of a - (3\/1)\/(z\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1179957*k + 588573*k + 591399*k.\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 2) + (-160 - -167)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**3 + 92*t**2 = 0.\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**5*w + 3159439*f**5 - 2*f**2 - 3536673*w wrt f.\nAnswer: -120*f**2*w + 189566340*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2)*(1 - (-57)\/(-69)). Let u = x - 52\/69. Let g = 91 + -91.2. What is the closest to u in -2\/5, -1, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 6 = -3*a + 44, 5*x = -4*a + 51. Let i be 14\/6 - a\/42. Solve -5*j + 33 = -2*y, 3*j - 27 = i*y + y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/1603 and -53\/4351.\nAnswer: 30457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 9 + 1)*(0*o - o + 0*o)*(1 + 4 - 4)*(-2*o**3 + 2*o**3 + 2*o**3).\nAnswer: 14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - ((-6 - 6) + -4 + 7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a meter in centimeters?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/v**(-4\/5))\/v)\/v**(-3\/8)*v**0*v**(-2\/17))\/((v\/v**(4\/9))\/v**(-1)*(v\/(v\/(v\/((v*v**(-3\/2))\/v*v))))\/v**6) assuming v is positive.\nAnswer: v**(30611\/6120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 134843295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(5 + (-4 - 0)). Suppose 0 = -3*t + 4*j + 2798, d = -2*t + 3*j - 0*j + 1865. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-3 - (0 + -2)). Let d be -48 + 1\/(v\/(-6)). Let h = 163 + d. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 2*i + 3. Let t(c) = -c**2 + 10*c + 9. Let a be t(11). What is x(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1011895 and 69150.\nAnswer: 2305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 82*i**2 - 727*i + 220. Give m(72).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -18. Let r = p - 12. Let z = r - -16.03. What is the second biggest value in 0, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 360 = 4*a + 28, 5*a = 2*n + 432. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + h + 1. Let p(u) be the first derivative of 11*u**3\/3 - 7*u**2\/2 - 4*u + 397. What is p(x) + 6*s(x)?\nAnswer: 5*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.10532464 - 1.325319. Let f = w - 0.78. Round f to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 + 3 + 0 + (7 - -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-70)*(21 - (-2450)\/(-105))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**4\/3 + 4*x**3\/3 + 2*x**2 - 61*x. Factor r(s).\nAnswer: 4*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41491244 - -1.21417?\nAnswer: -41491242.78583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36499598.\nAnswer: 2, 1601, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-58)\/12*2 + (-2)\/(-3). Let w be m\/(-3)*2\/2. Suppose -z + 0 = -w. Solve -z*p + 3 = -0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 - 84. Suppose l*k = 3*k + 3, 4*k - 48 = -4*i. What is the remainder when 69 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4*d = 32, 1166*w + 3*d - 20 = 1168*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -18. Suppose -q*w - 7 = -4*m + 6, 0 = -4*m + 4*w + 12. Is 12 a factor of 71\/m + (-1)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 10*h + 16. Let b be (40\/14)\/(26\/(-91)) - -3. Calculate u(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/d**5)*d**(-2\/15)*(d*d**(-1))**(1\/9) assuming d is positive.\nAnswer: d**(73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkknnknnkk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 706.24 - 704. Let n = 5 - 7.2. Let m = z + n. What is the third biggest value in 0.1, 2\/13, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/1608 and -59\/581962.\nAnswer: 6983544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifteen quarters of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4660417\/1728 - 2697. Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, -5, 4\/5, -0.2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1573, 3010, 4435, 5842, 7225?\n\"Answer: -j**3 + 1444*j + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -738.8 and -0.002.\nAnswer: 1.4776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/8 - 231*s\/8 - 237\/4.\nAnswer: 3*(s - 79)*(s + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z + 10. Let c(f) = -8*f + 11. Let q(p) = 9*p - 113. Let r be q(15). Suppose 45*g - 138 = r*g. Calculate g*n(l) - 5*c(l).\nAnswer: -2*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -22*v - 126. Let u be a(18). What is the common denominator of -101\/18 and ((-8)\/24)\/((-4)\/u)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/4*-2*3\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 717898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 107338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:43 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 2852*y**3 + 2024886*y**2 - 12272252*y - 14294287.\nAnswer: (y - 7)*(y + 1)*(y + 1429)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3242132420 - 24?\nAnswer: 3242132341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2. Let s = -126 + 108. Let y(r) = -r**3 - 19*r**2 - 17*r + 20. Let t be y(s). Let q(j) = -8*j**t - 439*j - 4*j**2 + 439*j. What is o(q(k))?\nAnswer: 432*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1700) + -2.\nAnswer: -10*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*t - 49, 3*t - 6*t - 5*x + 44 = 0. What is the greatest common divisor of 39 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.97 + 5. Let i = 0.23 - t. Let p = i - 0.2. Sort 1\/2, p, 2 in descending order.\nAnswer: 2, 1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 79678, 4, -1, -0.3, -1\/5 in descending order.\nAnswer: 79678, 4, 1, -1\/5, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1904, -7650, -17240, -30674?\n\"Answer: -1922*f**2 + 20*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, r: 2, d: 7}. Give prob of sequence rdrd.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 25*d**2 - 57*d + 37. Let b(w) = 6*w**2 - 14*w + 9. Let a(m) = -26*b(m) + 6*j(m). Factor a(c).\nAnswer: -2*(c - 3)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -7, 12, 47, 104?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 12710018.6 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44206.3 milligrams?\nAnswer: 0.0442063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-14)\/z)\/z)\/(z\/z**(2\/39)*z))\/(z**(-11\/5)\/z)**(-6\/37) assuming z is positive.\nAnswer: z**(-133244\/7215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -4\/199, 0.2, 2, 4 in descending order.\nAnswer: 4, 2, 1\/4, 0.2, -4\/199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 12*v. Let u(i) = -40456*i - 5. What is u(q(b))?\nAnswer: -485472*b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*(-40)\/(-48)*(-6)\/(-15). Factor -5*l**3 + 9*l - 3*l**2 - 9*l**4 + 6 + 16*l**4 - 10*l**4 - 4*l**c.\nAnswer: -3*(l - 1)*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 - 57. What is the greatest common factor of c and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7495*12155\nAnswer: -91101725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Let r = -2 - t. Let m = -1 - r. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 8:22 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 0*g + 11. Let h be ((-2)\/3)\/((-6)\/9). Suppose 5*c - 17 = -3*j, j = 2*j - 5*c + h. Solve 5*u - j - g = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3215 divided by -1169\nAnswer: 3215\/1169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 + 11 - 40 + 98)*(-103 + 103 - 20*s**2 + (s + 0*s + 0*s)*(3*s - 4*s - s) + 4*s**2 - 4*s**2 - 2*s**2).\nAnswer: -3528*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1331111662 smaller than -1331111662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/((-3)\/549*-2). Let m = 134 + w. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102265, 102258, 102251, 102244, 102237, 102230?\nAnswer: 102223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 126, 130, 134, 138, 142, 146?\n\"Answer: 4*n + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5 + 75*c**4 + 280*c**3 + 280*c**2 - 240*c - 400.\nAnswer: 5*(c - 1)*(c + 2)**3*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 12) to base 7.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -16*g**3 + 5*g**2 + 2*g. Let w(h) = 17*h**3 - 4*h**2 - 2*h - 1. Calculate 2*i(u) + 3*w(u).\nAnswer: 19*u**3 - 2*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 73\/(-3)*3\/2. Let z = -35 - h. Suppose 6 = 7*a - 1. Is a at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -3.7. Let x = 105.1 - 104.9. Let s = 0.3 - 0.2. Which is the nearest to s? (a) x (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1949890 (base 11) to base 8\nAnswer: -14436726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-23))*o)\/o*o**(-2\/43))**(-31\/4) assuming o is positive.\nAnswer: o**(-30597\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -56132 rounded to the nearest 1000?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 133, 269, 405, 541, 677, 813?\n\"Answer: 136*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one fifths of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -5*a + 1. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/((-32)\/(-640))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 68413 - e?\nAnswer: 68405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {z: 1, c: 3, o: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32445435.\nAnswer: 3, 5, 11, 17, 43, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*p + 21 = 0, p = 3*x - 12 + 3. Let o(c) = c. Suppose 0*s - s = -5*i + 19, -3*s + 3*i = 9. Let t be o(s). Solve t = -3*z - x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 0, -5, 1, 38\/7, 2 in decreasing order.\nAnswer: 38\/7, 3, 2, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*r = 6, -4*h + h - 19 = -4*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 + (-547551196)\/12. Let c = 912352381\/20 + p. Let x = c + 11645. Calculate the common denominator of 43\/14 and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1512?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 29*y + 49. List the prime factors of o(5).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * -134.\nAnswer: 147.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 - -53. Let o = 16 - n. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 28 + 7 = 0. Suppose -4*c + 4*r = -c + 11, -b = 3*c - 5*r. Is (-822)\/c - 2\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1317 - 1320. Which is the closest to 254? (a) -4 (b) -0.3 (c) 1 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + r**2 + 4)*(r**2 + 2*r + 0*r**2 - 3*r**2).\nAnswer: -2*r**4 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 62, 54, 50, 50, 54?\n\"Answer: 2*d**2 - 14*d + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 173*q + 13 + 5 + (-q + 3*q - q)*(2 + 0 + 6) in the form o*q + t and give o.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v + 0 + 0 - 2*v - 5 + 5 + v + 0*v + 0*v + (-1 + 4 - 2)*(0*v - 3*v + v) + 2*v - 3*v - v + 2*v + 3 - 3.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -3.4246?\nAnswer: -0.68492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -201.9861 + -0.0139. Let z = r + 200. Put 3\/11, z, -0.4, -0.5 in decreasing order.\nAnswer: 3\/11, -0.4, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5195083?\nAnswer: 5195083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 567*o**3 - o**2 + 21*o + 22. What is f(-1)?\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 10.3. Let p = 0.0621 + 0.1379. What is the nearest to 0.1 in p, u, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 3)*5\/(-2). Suppose -z*f - m + 349 = 58, 0 = 5*f - 3*m - 307. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46092\/229 or 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -33. Let j = -137.7 + 148. Let r = k - j. What is the nearest to r in 2, 3, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12329 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: What is the closest to 2 in 0.09193, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419852.\nAnswer: 2, 43, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*v + 3*m + 37, 3*m - 1071 + 1097 = 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4312 - -34?\nAnswer: -4223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + (sqrt(14)\/sqrt(2) + 4)**2 + sqrt(63)\/(2*sqrt(9)) + -2 + -2.\nAnswer: 21 + 17*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2. Let l be 0 + ((-2 - 0)*-3 - 0). Let b = 51 - 16. Let m(n) = -l*n - 35 + b. Give s(m(g)).\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 171*c + 995. Let y be a(6). Let l(d) = -2*d**2 + d. Calculate l(y).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q + 0*q = 0. Suppose q = -4*c + 10 + 2. Calculate the smallest common multiple of 7 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223843559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117546, 117541, 117534, 117525, 117514?\nAnswer: 117501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 2746 = -3302. What is the highest common divisor of f and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 - 332*c - 999. What is the remainder when a(87) is divided by 1\/(-3) + 151\/3?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3552152.\nAnswer: 2, 29, 61, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -3)\/((-1)\/2). Factor y - 6*a**2 + 3 + 2 + 3*a - 3*a**3 - 3*a**2.\nAnswer: -3*(a - 1)*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24 - (1 - 6)) + 2. What are the prime factors of (-202)\/14*c - (-18)\/(-63)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -21*p + 152. Let j be k(6). Is 24 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*v + 93. Suppose r + 3*h = 28, 2*r + h - 15 = v. Let x = 696 - 693. Solve -5*y = 5*m, x*y = 2*m + 3*m + r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -15, 23, 0, -3 in descending order.\nAnswer: 23, 4, 3, 0, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o + 5 + 2*o + 2*o + (-2 + 0 + 0)*(2*o - o + 3*o) in the form y + j*o and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 30 = -4*z. List the prime factors of (-2)\/z - (-350)\/15.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -14*u**3 - 8*u**2 - 3*u + 6. Let f(n) be the third derivative of -n**6\/24 - n**5\/20 - n**4\/24 + n**3\/3 - 41*n**2. Give 8*f(d) - 3*t(d).\nAnswer: 2*d**3 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7463 - -7474. Let l(x) = -2*x**3 + 23*x**2 - 14*x - 2. What is l(w)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 822 (c) 0 (d) 0.07 (e) -44 (f) -2 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 4*u + 14 - 35, -4*q = 3*u - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 676*v**3 + 140 wrt v.\nAnswer: 2028*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1479 + 3489. Suppose 2*c + t = -d, -d - 2686 = c - 681. What is d rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 92? (a) -5 (b) -1\/532 (c) -0.2 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0.04, 5, -5, -2, -188 in descending order.\nAnswer: 14, 5, 0.04, -2, -5, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - r - 7. Let q be z(-3). Suppose -5*p = -5*f - p + 19, -3*p - 3 = 0. What is the second derivative of f*g**5 + g + 2*g - g**q wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1033 (base 6) to base 12.\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(3\/5)*(b**(-2\/13)*b)\/b*b)\/(b\/b**(1\/9)*(b*b*b**(1\/4)*b)\/b))\/((b\/((b*b**(-2\/5))\/b))**(2\/101))**(-23) assuming b is positive.\nAnswer: b**(-296633\/236340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3513773*r**5*w**3 - 13*r**3*w**3 + r**2*w**2 + r**2*w + 729*r**2 + 15*r*w**3 - 20*w**3 - w**2 wrt r.\nAnswer: -210826380*r**2*w**3 - 78*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4202*p - 2565*p + 2347*p + 57460 = 0 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -5. Let d = 63 - 62. What is the smallest common multiple of y and (-18)\/2*(-1)\/d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36*19\/((-57)\/(-2))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 66 = -7*i. Let g be (116\/6)\/(11\/i). Let v = -74 + g. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-14))\/(1\/2). Suppose 3*o + o - 120 = 0. Let t be (-4)\/o*(-5)\/(-4). Put x, t, -2\/5 in descending order.\nAnswer: t, x, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -472, -1075, -1668, -2245, -2800?\n\"Answer: y**3 - y**2 - 607*y + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.8 + 5.8042. Round m to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 1303*m**2 + 10417*m - 52. Calculate o(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**5\/7 + 39*w**4\/7 - 15*w**3\/7 - 195*w**2\/7 + 12*w\/7 + 156\/7 = 0. What is w?\nAnswer: -13, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8216*f + 8259*f - 1376 = 0 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 16287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -40438.9772 and 134?\nAnswer: 40572.9772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 j, and 1 n when three letters picked without replacement from {j: 5, b: 3, n: 1}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 0, -4*l + 586 - 66 = 5*p. Find the third derivative of -17*h**2 - 9*h**3 - 6*h**3 + 11*h**2 + h**2 + p*h**2 wrt h.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 40477*f. Let s(i) = -2*i**2. Determine a(s(j)).\nAnswer: -80954*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 154.825ng?\nAnswer: 0.000000154825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**5\/20 + 11*m**4\/12 - 7*m**3\/3 + 3*m**2 - 4*m. Let w be f(-12). What is the highest common factor of 75 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/14025 and 53\/25245.\nAnswer: 126225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - (-4 + sqrt(425)))*-1 + sqrt(425))**2.\nAnswer: -40*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**5\/20 + x**4\/2 + 7*x**3\/6 + 7*x**2\/2 - x. Let f be 84\/(-22) + (-2)\/11. Let w = -9 - f. What is s(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/5598126 and 77\/46651050?\nAnswer: 139953150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 228 = 3*x. Suppose 0 = 16*r - 19*r - x. Let l(i) = -i**3 - 12*i**2 + 21*i - 28. Let k be l(r). Round k to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/6 - 31*m\/3 - 100.\nAnswer: -(m + 12)*(m + 50)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*k + 3*k = 0, 0 = 2*y - 2*k - 14. Which is the biggest value? (a) 0.2 (b) y (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-1\/10)\/(r**(-6\/5)*r*r*r**(1\/4))*((r**(-1\/2))**(2\/51))**(-19) assuming r is positive.\nAnswer: r**(-589\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4484 = 39*t - 3509, 5*r - 12*t = 295 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, -1\/12, 52.\nAnswer: -4, -1\/12, 2\/9, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4103 + -6029. Is -20 - n - (1 - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2220156997.163+0.311\nAnswer: -2220156996.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 17. Suppose -s*w + 65 = 3*w. Suppose 0 = l + 11 - w. Solve -l*v - v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6, -7, -14, -33, -70, -131?\n\"Answer: -w**3 + 3*w**2 - 3*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 372\/27 + 2\/9. Suppose -2 = -3*l - u. Let c(p) = 3*p**2 + 5*p + 3. What is the units digit of c(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (6 - (1 + 1 + 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/9 + 2162\/(-423).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 6*x**2 + 5*x + 3. Let p be o(5). Let k = p + -2. Let u = 17 + k. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/846 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 46. Suppose 4*z - x = 2. Suppose 15*h - 13*h - 44 = 0. What is the remainder when h is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 6 + (-2 - (6 + -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 8*i**2 + 29*i - 8. Let x be c(12). Suppose 8*f = 508 + x. What are the prime factors of f?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15697*x + 276 = -15743*x - 1426 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-3))\/(7\/(-126)). Let z be (b\/4 - -1)*2. Which is bigger: -7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 7599*j**2 + 4815864*j + 4808268.\nAnswer: 3*(j + 1)*(j + 1266)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250044348.\nAnswer: 2, 3, 1583, 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k**5 + 330*k**4 - 1185*k**3 + 1020*k**2 + 396*k = 0.\nAnswer: -2\/7, 0, 2, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.292 * -0.053.\nAnswer: 0.068476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*t = -115, -5*o - t - 3*t = -110. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 374.3799 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/11)*(n\/(n\/(n\/(n*n**(-1\/3)*n))))\/n*n)\/(n**(1\/7)*n*n*((n**(-3\/2)*n)\/n)\/n*n) assuming n is positive.\nAnswer: n**(-689\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 295706879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.8 - -78. Let n = 83.7999561 - z. What is n rounded to six dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 41\/(-6) + 1\/(-6). Let o(q) = q**2 + 7*q + 4. Let z be o(u). Let a(f) = 2 + 2 - 6*f**2 - z. Let d(p) = 2*p**2. Calculate a(d(i)).\nAnswer: -24*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2384253 and 1719.\nAnswer: 2384253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -547 - 617. Let w = l - -1705. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-7 - 117\/(-18))*18\/2862\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 615 divide 2402435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 69 + 71 - 7*q - 140. Let g(h) = -h**2. Give s(g(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 272\/240 + (-2)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(57)\/(sqrt(18)\/sqrt(6)) + (sqrt(19) - sqrt(76)\/sqrt(100)))*-2)**2*-4.\nAnswer: 73872\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 560 - 558. Suppose 0 = -13*t + d*t + 83897. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**3 - 3*g**2 - 1. Suppose 8*m - 3*m = 10. Let r(d) = 10*d**m + 15*d**2 + d**3 - 26*d**2. What is -2*q(b) + 7*r(b)?\nAnswer: -b**3 - b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7)*s)**(-29\/2)\/(s**1)**(23\/5) assuming s is positive.\nAnswer: s**(-1627\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 8*o - 6. Let g be ((-14)\/(-3))\/((-4)\/(-6)). Let q = -658 - -721. Suppose 0 = -g*t - q + 14. Determine y(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u + 17. Let d(t) = 2*t + 4. Let j = -8 + 6. Suppose 92 = 4*m + 20. Suppose 38*s - m = 36*s. Calculate j*p(x) + s*d(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-14)*(-20928)\/(-19184)\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 82\/(-26) + 32\/208. Which is the second smallest value? (a) f (b) -1 (c) -2\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*15\/(-5)*(-2)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 74 from 24.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6296544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*g = 51*g - 10*g - 19822. Solve -7*b = 180 - g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 - -2?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsy when three letters picked without replacement from ssysdssdy?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 146082*i*u**2 - 47441*u**2 wrt i.\nAnswer: 146082*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**10)*x**(-32)*x\/(x\/x**(-25))*(x\/x**(7\/4))\/x)**(-23) assuming x is positive.\nAnswer: x**(4485\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 163*k**2 - 3*k - 9. Is r(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2560020 = 5*q, 892457 = 2*q - 4*s - 131563. Suppose q = 3*g + g. What is g rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4 - -3) + 3 - (392 - 387)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 0.9?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 457274 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255 divided by -1.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1673 - -1676. Let s(b) be the second derivative of 5\/14*b**4 - 4\/7*b**2 + 0 + 13*b + 4\/21*b**l. Solve s(m) = 0 for m.\nAnswer: -2\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 34*g - 1197. Give k(35).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*m + 1 + 1 - 1 - 2 wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95393 + 286189\/3. Let n be 2 - (2\/6 - 0). Factor 5\/3*p**2 + n - t*p.\nAnswer: 5*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - 345\/(-10))*36\/10. Calculate the greatest common divisor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) -0.1 (c) 2 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*z - 5*r + 16, z - 10 = -5*r. Let u be ((-6)\/(-21))\/((-2)\/(-7)). What are the prime factors of u + z - 4\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 406 + -146. What is w rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w**3 + w**3 - 2*w**3)*(-2*w - 2 + 2) - w - w**4 + w - 10*w**4 + 84*w**4 + 442*w**4)*(-1 + 1 - w).\nAnswer: -519*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -45879165 divided by 15293055\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191.74 - -195. Let o = h + -0.26. Let t = 0 + -2. Which is the second smallest value? (a) t (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/546 - 474\/9954)\/(10\/(-100))?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 320 + 1484 = 0. Let b = q - -64. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/13787?\nAnswer: -2\/13787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -15*f - 117. Let s(x) = 13*x + 111. Give -6*s(k) - 5*z(k).\nAnswer: -3*k - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8923 or 0.04?\nAnswer: -8923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7838 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**4 - 106336*t**3 + 5425545*t**2 - 20426116*t + 20000756 = 0.\nAnswer: -106387, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142011 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64.04 + 1.34. Let k = 63 + q. Suppose 4*m - m = 3. Which is the third smallest value? (a) m (b) 1\/6 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*z - 48 - 37 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 + 57*m**2 - 40*m + 229. What is the units digit of u(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2. Suppose 0 = -22*z + 27*z - 30. Let t(o) be the first derivative of -1\/2*o**2 + z + 0*o. What is t(b(l))?\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26318180 by -20.\nAnswer: -1315909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186062 divided by -4.\nAnswer: -93031\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-14))\/(10\/10))\/(-2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 1, e: 1, q: 1, s: 8}. What is prob of picking 1 q and 1 e?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + -64 - (24 - (9 - 3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 1.18, -1\/79, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 3. Let v be s(3). Suppose v = -3*g + 35 + 256. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) - ((sqrt(1872) + 1 + sqrt(1872) + 0)**2 - sqrt(1872) - sqrt(1872) - sqrt(1872)) - (-3 + 4*sqrt(1872)) - ((-4 + 1 + sqrt(1872))*1)**2*6.\nAnswer: -18772 + 384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 12:22 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 25*z**2 - 2655*z - 2140 = 0.\nAnswer: -4\/5, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7*j + 288025 = 2*j, 2*j + 72004 = u. Suppose z - n = n + 24010, -3*z + u = -2*n. Round z to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13913626 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a. Let k(o) = o**3 - 10*o**2 - 23*o - 14. Let y be k(12). List the prime factors of 35 + a + 2 + y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08904*-15928\nAnswer: -1418.22912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bb78a - 4?\nAnswer: -bb791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*m + 12. Let k be (-12)\/m*20\/6. Let d(z) = -k*z + 5*z + 0*z. Let g(i) = -2*i. What is d(g(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/12 and -49\/1566.\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5011, 5019, 5027?\n\"Answer: 8*p + 5003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11522529 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**5\/2 - 4*j**4 + 109*j**3\/2 - 146*j**2 + 96*j = 0.\nAnswer: -16, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.009\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6*((100\/24)\/(-5))\/(20\/(-36))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 2\/101?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1041 - -1050. Which is the closest to 5? (a) 5 (b) l (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**2\/2 - r + 7. Let l be p(-4). Sort -5, -7, l in ascending order.\nAnswer: -7, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1390374\/7 and -198624 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 427 + -427. Let t(q) = -q. Let m be t(-3). Suppose -1 - 3\/2*u + 1\/2*u**m + d*u**2 = 0. What is u?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12)*o*o)\/(o*o**9\/o)*o*o\/(o**11\/o)*o**(-5)*o assuming o is positive.\nAnswer: o**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10733*z - 375730 + 292731 = -1144155 - 495129 for z.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-14)\/(h**(-2\/35)\/h))**32)**(2\/17) assuming h is positive.\nAnswer: h**(-28992\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*b - 52 - 58 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -257 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**4 - 385*f**3 - 7*f**2 + 112680 wrt f?\nAnswer: -4*f**3 - 1155*f**2 - 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 12*a - m = 1735381, 2*a - 867715 = -3*m. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, l: 3, r: 3}. What is prob of sequence rl?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -9*s + 4*s. Let x be ((-1)\/4)\/((-1)\/s). Which is the third biggest value? (a) -4 (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/15, -2\/3, -1\/2, 2\/5, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 975510 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96223.2 millilitres?\nAnswer: 96.2232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 460\/22927 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*n + 896 = -71*n + 38 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - w**2 + 2*w + 4. Let g be l(-2). Do g and 4 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 8, -3, -498, 30, -4.\nAnswer: -498, -4, -3, 1, 2, 8, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58688050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -1625 = -2397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2\/7 (c) -1 (d) -19059\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7 + 12*n + 26*n - 19*n. Let i(c) = c**3 - 8*c**2 + 14*c - 7. Let k be i(6). Calculate the remainder when p(k) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -180, -405, -720?\nAnswer: -1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*u - 14685, -3*u = u + 12. What are the prime factors of r\/27 + (80\/(-45))\/(-8)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*q - 1850*a + 1848*a, 3*a = 5*q - 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {n: 1, f: 3, i: 1, x: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 731590240 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1\/4 (c) -3 (d) 3865\/24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2329 times 0.3?\nAnswer: -698.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2*o. Let s(h) = h**3 - 2*h**2 + 1. Let w be s(2). Let k = w - -5. Solve o = -3*y - r + k*r + 8, 0 = 4*y - r - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 2*v + 1309 - 1291 = 0, 0 = s + 4*v + 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70674 + -46138. What are the prime factors of n?\nAnswer: 2, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -5 - (-2)\/(-2). Let m be (2 - 5)*(-12)\/9. Suppose j - m = -3*j, 4*j - 43 = -k*p. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43687 is divided by 8619.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 26 + 394 = 0. Suppose 0*q + s = -12*q. Which is greater: q or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5380*d - 5377*d = 12. Let o(g) = 2*g**3 - 4*g**2 - 4*g. Let w(a) = 2*a + 5*a**2 + 4*a - a - 2*a**3. Let y(j) = d*w(j) + 5*o(j). Factor y(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363202 (base 10) in base 6?\nAnswer: 11441254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15127824 is divided by 102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3770 by -1.\nAnswer: 3770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1.8, 2\/15, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3492 + 5260. Suppose -d = -22*a - 12*a. Is a at least as big as 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3 - 0. Let j = 6 + 2. Solve 5*k = u*k + j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262262755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*p - 0*x - 17, 2*x = 3*p - 16. Let j(z) = 2*z**3 - 12*z**2 - z + 8. Let t be j(p). What is the units digit of 56 + (-2*3)\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 290, -0.3, -56.7, -5?\nAnswer: -56.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**6\/720 - j**5\/240 + j**3\/2 - 3*j**2. Let g(s) be the first derivative of r(s). Factor g(v).\nAnswer: -v*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3419)\/(-1 - 0*4*(-2)\/16). Are 3419 and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50265 and 12915.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*v - 2*v**2 + 21*v + 28 + 5*v**2 to the form t*v**2 + b*v + l and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/13 - 42731136*m\/13 - 228243747981312\/13.\nAnswer: -2*(m + 10682784)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000540337079 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6*5\/(-10) - ((-2736)\/(-285) - (-3)\/(-5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = 10*f - 898. What is the highest common factor of f and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kqqkqqqkxkqqqq?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27923022?\nAnswer: 2, 3, 71, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 132*g - 968. Give l(10).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 248091315 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgf when three letters picked without replacement from ftfflffftftgfftlltt.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - 1*sqrt(209))\/sqrt(11))**2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -175, -337, -535, -775, -1063, -1405, -1807, -2275?\n\"Answer: -r**3 - 12*r**2 - 119*r - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, -0.1, 2452\/5, 5\/7?\nAnswer: 2452\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10*x + 20 = 0. Suppose 19 = 5*k - 1, 3*w - 1120 = -x*k. Suppose 5*g - w + 78 = 0. Is 38 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -371*h + 189*h + 20*h**2 + 182*h. Let n(u) = -3*u. Determine n(c(j)).\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -424*h - 4. Let n(s) = 106*s + 1. Let c(m) = -2*k(m) - 9*n(m). Let q = 1 + -3. Is c(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.383251ug to nanograms.\nAnswer: 3383.251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -9. Suppose 0 = 5*r - 4*w - 73 - 5, s*r - 64 = 4*w. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 10:53 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 10*j - 2. Let m be n(-9). Let f = m + -5. Suppose -5*y - 45 = -f*w - 5, 0 = 5*y. Solve -6*p = -p + w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 4*d + 2. Let l be w(4). Let s = 114 + -107. Solve -o = 4*n, n + s = -l*o - 0*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 2303311?\nAnswer: 2303314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2375 - -2375.8. What is the third biggest value in -4, -0.1, p, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 11) to base 12.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/21)\/((-16)\/36)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 86121.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 + -0.5. Let u = -41.997 + -0.003. Let i = u - -41. What is the nearest to i in h, -1\/2, 3\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 102\/(-15)*(-15)\/6. Let c be (-6)\/4*(-16)\/6. Suppose -p = -t - q, -4*p - c*t + 74 = 22. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**4 - 1746*y**3 - 327600*y**2 - 17520000*y + 432000000 = 0.\nAnswer: -200, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453692 is divided by 837.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 7*u + 1. Let m be n(-7). Suppose -m = -x - 2*l, 3*l + 2 = 4*x - 13. Suppose -5*c = -2*i - x, 4*i = c - 0*c + 3. Solve 0 = -0*w + w - i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4571 (base 8) in base 4?\nAnswer: 211321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 22 = 103. Let m be (-7 + 12 - 5) + (2 - 1). Let t(d) = -24*d**2 - 32*d + 33. Let y be t(m). Is y at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239294 is divided by 26562.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 17*v**4\/4 + v**3\/3 - 3*v**2 + 5. Let f(r) = 3*r**2. Determine l(f(m)).\nAnswer: 306*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w**4 - 118*w**3 + 402*w**2 - 212*w - 80 = 0. What is w?\nAnswer: -1\/4, 1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(6*sqrt(2)*1 - sqrt(2)) - (sqrt(832) - (sqrt(832) + -1 + 1 - sqrt(832)) - sqrt(832) - sqrt(832))**2.\nAnswer: -832 + sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 3*b**2 - 11*b - 38. Let g be m(6). Let f(i) = 4 - 2*i - 2 - 3*i. Calculate f(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 294 and 11385?\nAnswer: 1115730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -15) + (-9 - -29 - 49)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 1264*u**2 + 0*u + 829*u**2 - u - 3326*u**2 + 1247*u**2.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.291 - 2.709. Which is the nearest to q? (a) -1\/5 (b) 16 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1231*m**2. Let o(u) = u**2. Determine o(t(a)).\nAnswer: 1515361*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 431*w + 5. Let z(d) = -287*d - 3. Determine -5*c(x) - 8*z(x).\nAnswer: 141*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0049 + 0.005402. What is b rounded to five decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 + 376*j**2\/7 - 374*j\/7.\nAnswer: -2*j*(j - 187)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, y: 1, v: 1}. What is prob of sequence cyv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**5\/20 - p**4\/6 - p**3\/3 + 2*p**2 + 4*p. What is the units digit of a(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*a - 309, -5*a - 30*k = -33*k - 519. Solve a = -24*x + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1675?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6860709 and 33?\nAnswer: 75467799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 35*c**2 - 4*c - 7. What is z(-2)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56150807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 15*k + k)*(3 + 1 - 8)*(-3 - 1 + 1 + (-3 + 2 + 2)*(1 - 1 + 1)) as b + y*k and give y.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 19*g + 56. Let v be d(21). Which is bigger: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4194998686.\nAnswer: 2, 2097499343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-1 - -3)*-200. Suppose -3*a - 1721 = -4*i + 2*a, -i - 5*a + k = 0. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -18118*h - 3460527. What is j(-191)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b. Let p(o) be the third derivative of o**4\/24 - 7*o**3\/6 + o**2. Let q be p(9). Let i(a) = -a + a**q + a. Calculate u(i(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 3847360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8883490 by -11537.\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -68. Let h = -0.74785 + -35.30115. Let d = h - f. Round d to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3120453706.\nAnswer: 2, 79, 19749707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 329 - 265 = 0. Let r be (-838)\/(-7) + 2\/7. Suppose -5*n + r = 5*t, t - 5*n - x = -0*t. Is 30 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -13 + 0 + 2 - n**2 - 6 + 24*n. Is t(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1793 and 781259?\nAnswer: 8593849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*b = -9, 36*x - 25*x = -3*b - 117. Sort -2\/29, 0, -4, 1, x in descending order.\nAnswer: 1, 0, -2\/29, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 + 131*p**2 - 34*p + 33. Let i(y) = y**3 + 44*y**2 - 12*y + 12. Calculate 17*i(q) - 6*j(q).\nAnswer: -q**3 - 38*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3) + -8 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -58 (b) -2\/3 (c) -0.1 (d) 25\/4 (e) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34296.38 microseconds to nanoseconds.\nAnswer: 34296380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315311, 315305, 315295, 315281, 315263?\nAnswer: 315241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + d**2 - d - 14 - 1 - 3*d in the form o + m*d**2 + y*d and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*o*w**3 - 80*o*w**2 + 4*o*w - 1759875*o - 2*w**3 + 20795*w**2 + 8*w wrt w?\nAnswer: 66*o*w - 160*o - 12*w + 41590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141207 and 3630?\nAnswer: 1412070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 6:26 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12323 - -3?\nAnswer: 12326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1163, -6, -2\/11, -2\/5, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*r = 3*r - 14, -35 = -5*t + 4*r. Solve -3*u + 3 + t = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39 and -27.\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-90))\/(3\/9)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*w + 772 + 570 = -900 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1070 + 1067. What is the nearest to 0.1 in 1, -2, 1\/2, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*sqrt(152)*-2)\/(sqrt(392)*2 + sqrt(1152)*-1 + sqrt(1152)).\nAnswer: -18*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 11 = -i, -11*i + 2 + 44 = -3*m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 3*b - 2*b)*(2 + 15 + 17)*(677*b + 679*b - 1341*b) as s*b**2 + o*b + h and give s.\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 145474377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 + 30*p**3 - 3*p**2 - 6748*p - 49980.\nAnswer: (p - 15)*(p + 14)**2*(p + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (13 + -10 - 3) - -6\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.083999 rounded to zero dps?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:23 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4291092.\nAnswer: 2, 3, 13, 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 4247.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -268230 (base 16) to base 4.\nAnswer: -21220020300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 7*b - 2*b - 12 = 0, 4*b = -3*v + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -10*o - 16. Suppose -3*q + 861 = o*m, -8*q + 4*m = -4*q - 1128. List the prime factors of q.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93353501, 186707004, 280060507?\nAnswer: 373414010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*p + 24 = 0. Let v(n) = 6*n**3 + 6*n**3 - 15*n**3 - 1 + 4*n**p - n**2. Let x(i) = -2*i**3 + 4*i**2 + 6. Give 4*v(o) + x(o).\nAnswer: 2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 7:16 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**2*q + 22*j**2*x**3 - 718*j*q + 7*q**2*x**3 + 2*q**2 wrt x.\nAnswer: 66*j**2*x**2 + 21*q**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*k + 5*p, 3*k - 4*p = -9*p + 30. Suppose k*b - 71 = -3*g, g = -0*g - 5*b + 27. Let y = g - 20. Solve -y*f - f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-15)*10*1. Let o be 4\/16*-6*-2. Suppose -3*f + o = 9. Put -4, n, f in increasing order.\nAnswer: -4, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, k: 1, n: 9}. What is prob of sequence gkgn?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 560.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.2, -0.0179?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/4)\/((-6)\/24). Sort -2, 3, f.\nAnswer: f, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x - 42. Let d be m(-7). Factor 0 - 3\/5*l**4 - 3\/5*l**2 + d*l - 6\/5*l**3.\nAnswer: -3*l**2*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1\/116, 0.5, 1\/4 in decreasing order.\nAnswer: 0.5, 1\/4, 1\/116, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(12\/18*-3). Let b(j) be the first derivative of 7*j**2 + 0*j + 2 + 0*j**4 - 18\/5*j**5 + g*j**3. What is the second derivative of b(d) wrt d?\nAnswer: -216*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieiiieeiyy. Give prob of sequence iye.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -d + 18, -42*b + 80 = 24*b - 31*b + 3*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29154.17 + -27888.\nAnswer: -57042.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 230 - 226. What is the nearest to -0.1 in 0.5, 1, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/298)\/2)\/(((-860)\/20)\/86).\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -334, -335, -336, -337, -338, -339?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 339, 589, 855, 1149, 1483?\nAnswer: 1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 30*c**2 - 29*c + 5. Let r be a(29). Suppose -u + 8 = r. Determine t so that 8\/3*t**4 - 4\/3*t**5 + 4\/3*t**u + 0 + 0*t - 8\/3*t**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/2 - -6)*(-4)\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1827480 and 240.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4311536 and 3145.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:11 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, 94.12, 4 in ascending order.\nAnswer: -0.15, 4, 94.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.085 (b) -54 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39426, -157677, -354756, -630663, -985398, -1418961, -1931352?\nAnswer: -2522571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/15)\/(5\/15). Solve 0 = z*j + 4 + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 3. Let t be x(0). What is the smallest value in 0.3, -2\/9, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 + 0.3. Let l = -0.09 - -0.09. Is v >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((13\/14)\/13). Suppose 8*i + s = 94. Solve -i = -2*c - 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 2. Let t = -1 - -5. Suppose 3*g - 10 = -5*k, t = -g + 4*g + 2*k. Suppose -2*z + g*n = 3*n + 22, n - 1 = z. Calculate y(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 11, 26\/9, 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 41402471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/418 and -62\/5.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnn when three letters picked without replacement from nngnnnnnnnngn?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 + 3*q**2 - 4*q**2 + (q - 3*q + 4*q)*(-q + 5*q - 2*q)*(7 - 16 + 24).\nAnswer: 55*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let c(s) = 25*s + 20*s + 11 - 63*s + 22*s. Calculate h(c(w)).\nAnswer: 4*w + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 168*z + 352. Determine x(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.534 rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 169*n**2 + 6490*n - 5718. What is x(111)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4393, 1, 0, 2, -4, -2 in decreasing order.\nAnswer: 2, 1, 0, -2, -4, -4393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3))**(-19)\/((o\/o**(-1\/6))\/(o*o**(-1\/3)\/o)))\/(((o**1*o)\/o)**(3\/23)*o\/(o**(-1\/9)\/o)*o*o\/o**5) assuming o is positive.\nAnswer: o**(4937\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(133)*-2 + sqrt(133) + (2*sqrt(133)*4 + sqrt(133) - sqrt(133)))\/(2*sqrt(567)*1))**2.\nAnswer: 6859\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/12*(-6558 - -10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (36\/(-8))\/(-9))*3\/54\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(14\/3)*n**(-2\/79) assuming n is positive.\nAnswer: n**(1100\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14120474 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: Calculate prob of picking 1 e and 3 d when four letters picked without replacement from {e: 1, d: 3, h: 3, c: 7}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let h(w) = w + 1. Let u(y) = -6 + y + 6*y - 4*y + 8. Let i(d) = 2*h(d) - u(d). Determine i(o(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86613 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*i**3*p**3 + 24*i**3*p - 736*i**3 - 98064*i**2*p**5 - 2*i**2*p + i*p - p wrt p?\nAnswer: -36*i**3*p - 1961280*i**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 0.8. Let h = 0.3 - 0.5. What is the closest to h in 2\/3, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 92\/(-6) + 2\/6. Let v(b) = b**3 + 14*b**2 + 22*b + 5. Let u be v(k). Let q = -79 - u. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31536?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-657134)\/152)\/((-104)\/(-878)). Let u = -36498 - j. What is the common denominator of u and 19\/6?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86 - 20. Let x be a\/(-55) - (-2)\/10. Are x and -2\/77 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305, -589, -873, -1157, -1441, -1725?\nAnswer: -2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*sqrt(114)\/sqrt(6))**2 - sqrt(19) - (sqrt(228)*-5 + sqrt(228))\/sqrt(12)).\nAnswer: 3*sqrt(19) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-4 + 5 + 1)*(5*r - 6*r + 18*r).\nAnswer: 68*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3112.018 years to months.\nAnswer: 37344.216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - v = 295, -4*u - 145 = -6*u - 5*v. Calculate the least common multiple of 36 and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*t - 5 + 275 = 0, -g - 2*t = 52. Let y = -48 - g. What is the nearest to -1 in -0.4, y, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*2\/4 - 0. Let m = -29223203\/161 + 181510. Let a = -10\/23 - m. Put -0.5, a, d in decreasing order.\nAnswer: d, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 12*w - 22. Let f be v(-9). Suppose 3*a = -f*p + 21, -5*p + 16 = a - 1. Suppose 4*d + a*t - 5*t = 2240, -5*d + 2769 = 4*t. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = 5*b, b + 0*b = -z + 3. Suppose b = p - 7 + 37. What is the units digit of 9\/((-27)\/p) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6821194 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, a: 3, h: 4, b: 2, k: 3}. Give prob of picking 1 b and 2 a.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -3 + 11 - 4. Let u(q) = -q**3 + 5*q**2 - 4*q + 3. Let g be u(w). Solve g*a - 1 = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 4*f + 26, -f - 3 = -2*k + 3. Suppose 2*l + l + k*q + 6 = 0, -3*l = 3*q + 6. Let m = 2 + l. Solve -8 = -4*n - m*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 18, -1, -15, 397, 2 in descending order.\nAnswer: 397, 18, 2, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(95)*4 + sqrt(95) + -4*sqrt(95)*-4)\/(2*sqrt(5)*4 - sqrt(5)*1*3).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - -3*sqrt(72))*-3)\/((sqrt(4) - (sqrt(4) + sqrt(576)*-2))*6).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 232, 237, 244, 253, 264?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6412 = -2*s - 3*u, 2*u + 6442 = 34*s - 32*s. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14331721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4.3 - -0.1332850948\nAnswer: -4.1667149052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 2*u + 6. Give j(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591615900 rounded to the nearest 1000000?\nAnswer: 1592000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5 + 2*z**4 - 4*z**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -137151 - -775?\nAnswer: -136154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 496 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3978)\/493 - (5 - (-6 - -19))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**8\/252 - 17*i**7\/630 + 7*i**6\/90 - 11*i**5\/90 + i**4\/9 - i**3\/18 - 6*i**2. Solve d(x) = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*c + 80. Let d = c - 6. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33742, -67983, -102224, -136465, -170706?\nAnswer: -204947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25310252453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2321?\nAnswer: 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -129\/721 + 4227\/11536. Let x = -3485\/16 + 218. Find the common denominator of v and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 17 = 19 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7209*d**3*x**2 - d**3*x - 3*d**2 - 61085*d*x**4 - d*x + 746*d + 12*x + 1662 wrt x?\nAnswer: 14418*d**3 - 733020*d*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 - -116. Calculate the highest common factor of j and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 1.1. Let v = -14\/5 + 17\/5. Let u be 7\/(-231)*5*9\/15. Which is the nearest to s? (a) u (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6894.723 years to millennia.\nAnswer: 6.894723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 1:33 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192128 is divided by 140.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, a: 6}. What is prob of sequence aava?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -16 - 33 + 9*o + 92 - 23. Determine y(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*w**2 - 23*w**2 + 19*w**2)*((-2 - 1 + 1)*(0 - w + 0) + 3 + 2*w - 3) to the form n*w**2 + l + z*w**3 + i*w and give z.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103000333310 (base 4) to base 10.\nAnswer: 4984820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 0, 5*m + 0*t - 2*t + 65 = 0. Let j = -16 - m. Let b be (10\/4)\/(4\/8). Sort 1, b, j.\nAnswer: j, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748 = 129*r + 58*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*y = 1. Let f = 1 - y. Suppose -r + 5*r - 5*b = 194, -r - 4*b + 38 = f. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -868 = -4*g - 0*g. Let w be (1\/(-2))\/(4\/208). Let x = w + g. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -125*m + 113. Let g be l(5). Let i = g + 514. Put -21, i, 3 in descending order.\nAnswer: 3, i, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3819*f**2 - 1274*f**2 - 2*f + 8288*f**2 as s*f**2 + w + h*f and give s.\nAnswer: 3195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000101011 (base 2) in base 11?\nAnswer: -1631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 120\/(-63)*(-3)\/(-6). Let g = i - -262\/231. Which is the third smallest value? (a) g (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 + -85. What is the remainder when s is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 147 - 130. Suppose -5*a - 2*w + 16 = -w, -5*a + o = 2*w. Solve 0 = -4*y - 2*n + 18, -n = -a*y + 2*n - 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0b49 (base 15) to base 16.\nAnswer: -7c37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.41 + 15.69. Let t = x + -0.6. Round t to zero dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412232*d**3 + 3847 - 7694 + 3847 + 412248*d**3.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from {s: 6, z: 4, m: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*c + 297 = 4*c, 0 = 3*y + 5*c - 227. Let k = y - 25. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1397169*h**3*k**2 + 4153*h**3 + h*k**2 - 4*k + 4660 wrt k.\nAnswer: 2794338*h**3*k + 2*h*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 45*l**4\/8 - l**2 - 310*l. Let i(n) = 4*n. Determine i(w(c)).\nAnswer: 540*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1581271*b. Let t(g) = -7*g. Calculate t(h(q)).\nAnswer: -11068897*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7673895 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 + 8*q\/3 - 8.\nAnswer: 2*(q - 2)*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 5*b + 10. Let j be i(-6). Suppose 4*y = -5*r - 479, -5*y - j*r - 354 = 247. Let l = y + 189. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-25 - -23) + (-2 - -1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-17 - -2) + (-70 - -68)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -232?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248740 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 10) in base 6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:11 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110303210 + 0?\nAnswer: 110303210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 6*n - 10. Suppose 4*u + 26 = n*a, -2*u = -4*a - u + 38. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a2 (base 15) to base 9.\nAnswer: 5128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1624034*g**4 - 262*g**3 - 239670423 with respect to g.\nAnswer: -6496136*g**3 - 786*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37, 113, 469, 1043, 1847?\n\"Answer: 2*c**3 + 91*c**2 - 137*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1272*r + 1366*r + 3102 = 0 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1062000 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12794 is divided by 87.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39\/5 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -21*d**4 + 2096*d**3 + 161071*d**2 + 189154*d + 30200 = 0.\nAnswer: -50, -1, -4\/21, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/31)\/l*l*l)\/(l**(1\/13)*l))**(-5) assuming l is positive.\nAnswer: l**(-1730\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 c when four letters picked without replacement from ooookoccc?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -11*u**2 - 3 + 12*u**2 - 18*u**2 - 8*u**2. Let y(h) = -h. Calculate y(k(l)).\nAnswer: 25*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 55*y**2 + 16*y - 16. Let f be c(-6). Suppose -8*g + f = 204. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 6*a - 2. Let t be d(5). Let w = -1 + t. Let z = -20 - w. Solve -2*v = z*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*v = -3, -1 - 1 = -3*n + 2*v. Let p(u) = 5*u + 1. Let r(c) = -19*c - 1 - 3 + 5*c + 2. Let z(q) = -11*p(q) - 4*r(q). Give z(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 16\/13*i**2 - 8\/13*i + 10\/13*i**3.\nAnswer: 2*i*(i - 2)*(5*i + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 9*g - 9 = 0. Suppose -x = -2*z + 17, g*z - 53 = 4*x - 2*z. Let b = -3 - x. Solve 3*p - s - 6 = 2*p, 0 = -b*p + s + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 30480.52cm?\nAnswer: 304.8052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1723, 6\/11 in descending order.\nAnswer: 1723, 6\/11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-130 + 128 + (-10 - 1) - -8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 16.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3845496 rounded to the nearest 100000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 + 21. Let f = j + 26. List the prime factors of f\/(-3) + 4\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19204892*x**2 - 397234*x + 11.\nAnswer: 38409784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2736 divided by -16.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*(-2*sqrt(2736) + -4 + sqrt(2736)*-1 + -2)*6.\nAnswer: 176 + 1080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**6\/120 + g**5\/30 + g**4\/24 - g**3\/6 + 4*g**2. Let t be u(2). Let k(i) = -4*i**3 + 2*i**2 - i. What is k(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-102)\/(-5) + (-12)\/30. Suppose -5*f = -a + 5. Solve 0 = h + 2 + f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 255. What is the common denominator of 8\/7 and -1*10\/630*l\/(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59507?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336 (base 11) to base 8.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -361 at most as big as -360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 11, g: 4, p: 3}. What is prob of sequence pg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 225513 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -105 + 399?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 8:23 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31981065.\nAnswer: 3, 5, 193, 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j - 7. Determine m(-12).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -166\/9 - -56\/3. What is the smallest value in -0.2, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 e when three letters picked without replacement from {d: 5, e: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*b + 9*b**3 + 153*b - 91*b.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 0.02 (c) 1416\/5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(-36))**(13\/4)\/((l\/(l**(-1\/7)*l))\/l**(2\/15)*l\/(l*l*(l*l**2*l*l)\/l)*l**(1\/4)*l) assuming l is positive.\nAnswer: l**(1571\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 8*t + 25. Let f be (-15)\/((-7)\/((-56)\/(-12))). Let q be j(f). Solve 2*c + 5 = -l, -c + 5*c - 5*l = -q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.667671195 to five dps.\nAnswer: 0.66767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654436489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -646.2 - -646.2000200622. What is p rounded to seven decimal places?\nAnswer: 0.0000201","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.07 - 1.97. Suppose 4*j - 155 = 21. Let y = j - 179\/4. What is the closest to 1\/4 in 0.5, y, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 68 - eb7c75?\nAnswer: -eb7c0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/44)\/(15\/(-60)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 + (-1 - -5 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24895, 24820, 24665, 24406, 24019, 23480, 22765, 21850?\n\"Answer: -4*s**3 - 16*s**2 + s + 24914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1215 and 31\/45.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -76\/3. Find s, given that 10\/9*s**2 + h*s - 4\/9 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1717261875 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*j**3 - 292*j**2 + 1148*j - 588 = 0. Calculate j.\nAnswer: 3\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6*(-1 + 10). Let i(p) be the second derivative of -p**3\/3 + 5*p**2\/2 - 38*p - 1. What is i(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 398651\/21 or 18984?\nAnswer: 398651\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3960 = -2479*f + 2677*f for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*z + 894264 - 359725 + 1116397 = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 2, i: 2, k: 1, n: 1, c: 1}. What is prob of picking 1 c and 1 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = -3*m + 7*m. Let s = -28 + m. Suppose -26*v + 20 = -s*v. Solve 0*z - 2*z = v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 14 = 2*d, 0 = -2*d + 3*y - 0*y - 9. Let g = 48 + d. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 19*x**3 + 6*x**2 - 7*x + 10. Let v(b) = -4*b**3 - b**2 - 2. What is a(d) + 4*v(d)?\nAnswer: 3*d**3 + 2*d**2 - 7*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.272 + 7.2. Let w = 8.928 - x. Let j = 0.006 + -5.006. Which is the smallest value? (a) j (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12*j - 92. Let u be c(8). Suppose 5*k - u*s = 271, 0 = -2*s + s + 1. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484839264.\nAnswer: 2, 6163, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 15*g**2 - 1 + 3*g**2 + 5*g**2 + g**3 - 7*g - 4*g**2. What are the prime factors of r(-19)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 21809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 390 = 387 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 7, -3, 1 in descending order.\nAnswer: 15, 7, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-2))\/(3*5\/60). Suppose 3*d - 5*d = -24. Let m = w + d. Calculate the least common multiple of 7 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1445005 - 10?\nAnswer: 1444555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -578.1 + 4.498092?\nAnswer: -573.601908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = w - 25, 7*s - 22 = 4*s - 2*w. Solve 1 + s = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13161 * -0.129\nAnswer: 1697.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**4\/24 - 2*l**3\/3 + 2*l**2 - 2*l - 4. Suppose -m + 60 = 5*o + 4*m, -3*o = 5*m - 44. Give k(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/41412 and 107\/1412358.\nAnswer: 336141204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1407957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 24*a - 146. What is the units digit of f(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2. Let y(v) be the first derivative of 33*v**3\/2 - 115*v - 95. Let f(s) be the first derivative of y(s). Give f(j(b)).\nAnswer: 99*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 2*r - 2. Let o(j) = 5*j**2 - 8*j - 123. Determine -o(a) + 4*v(a).\nAnswer: -a**2 + 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-12))\/((-9)\/24). What is the nearest to z in -0.5, 4, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 18*m - 1150. Determine p(-44).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694065541 to the power of 1\/3, to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21441 - 2?\nAnswer: 21435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -4*q - 14*o + 172, 0 = 6*q + 5*o - 278 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pppppppvpppcopvpp?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-10) - 126\/252. Which is the second biggest value? (a) l (b) -1\/6 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -215963981.0448 + -56.\nAnswer: -215964037.0448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -30 - ((8 - 8) + (-99 - 3))\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 11*c - 5895 = 0. List the prime factors of ((-8)\/(-8))\/(3\/c).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -14.5\nAnswer: 217.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2 (b) 19 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 599023071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1049.91 - -1045. Let b = k + -0.09. Sort 2\/15, b, 0.5 in descending order.\nAnswer: 0.5, 2\/15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 279902684 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (219*(-6 + 2)\/4)\/(-1). Let s = i + 35. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 4 - 7 + 2 - 3*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (766\/8)\/(49\/784)?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 11) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 6, f: 1, i: 1, g: 5}. What is prob of sequence fg?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - t**2 - t**2 + t**2 - 2*t**2 + (2*t**2 - t**2 - 3*t**2)*(3 - 3 + 2) + 1 - t**2 - 1 - t**2 - 3*t + 2*t**2 + t**2)*(4*t - 7*t - 49*t).\nAnswer: 312*t**3 + 156*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49\/5? (a) 5 (b) 0.3 (c) 4509 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(700))**2 - (sqrt(700) + sqrt(700)*2*-2 + sqrt(700) - sqrt(700))**2)*2*4.\nAnswer: -28000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-10))\/(2\/(-10)). Let x = 6 - b. Calculate the smallest common multiple of x and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 times -347378.6?\nAnswer: 625281.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfffffffbfb. Give prob of sequence ffb.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002797 rounded to 6 dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3461 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 15.09 (b) -1 (c) -17631\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.84*-1411.5\nAnswer: -2597.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*d - t, 9747*t - 9779*t - 120 = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**5 + 4398*u**4 - 115656*u**3 + 1071552*u**2 - 4007424*u + 4583424 = 0. What is u?\nAnswer: -1492, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 10843\/551?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014 = -94*o + 432*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70880, 140891, 210902, 280913, 350924?\nAnswer: 420935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i - 912660 = -24*i - 123*i. Does 41 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.287 at least as big as -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 754267929?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1507, 2955, 4403, 5851, 7299, 8747?\n\"Answer: 1448*n + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 4*o + 6*o)*(248292 - 22*o - 248292)*(-6*o**3 + 5*o**3 + 2*o**3).\nAnswer: 22*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -531592542 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -13 - 19. Is 10 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*((-274)\/(-4) + 2). Let g = -118 + u. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 40439873?\nAnswer: 40439874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 - 820*k**3 + 4982*k**2 - 4160*k.\nAnswer: -2*k*(k - 5)*(k - 1)*(k + 416)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4016431 and 229.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1034, -5, -0.05 in decreasing order.\nAnswer: -0.05, -1, -5, -1034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let s(n) = n + 10. Let c be s(-5). Let k = -3 + 7. Solve b*g - c*g - 2*d = 2, -4*d = g + k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q\/(q*q**2)*q)\/q)*q*q**6)\/(((q\/(q**(-6)*q))\/q)\/q*q**4\/q) assuming q is positive.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 184 + -188. Does 21 divide (0 + -108)*2\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4004 (base 7) to base 11.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/586 and -61\/781138.\nAnswer: 781138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 30736.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00053127621 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 18*v**2 - 21*v**2 + 0*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -1201000201102?\nAnswer: 1201000201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s + 3*x - 12, 8 = 2*x. Solve s = -4*r + 2*k - 3*k, -4*r = -k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -57 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c. Let k(p) = -10*p + 6. Let d(g) = -9*g + 5. Let n(r) = -6*d(r) + 5*k(r). What is j(n(l))?\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 3. Let w(a) = 8 + 4*a + 4*a - 7*a + 2*a - 2*a. Let o(c) = -3*c - 11. Let q(r) = o(r) + 2*w(r). Determine 8*p(t) + 5*q(t).\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2191886.\nAnswer: 2, 31, 35353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17315033*q**4 + 48*q**2 + 3565*q + 25.\nAnswer: -415560792*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x + 1. Let w be m(0). Let j be 3 - ((2 - 4) + w). Solve 3*n - 7*n = -5*b + 7, 4*n = 4*b - j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1502 - 7821?\nAnswer: -6318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3022629964 to the power of 1\/2, to the nearest integer?\nAnswer: 54978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 975431 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -29. Let k be (14\/21)\/(v\/18). Is 37 a factor of (-4)\/6 - 446\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -197.71 times -0.5\nAnswer: 98.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 436 = -2*d. Let m = d - 101. Solve m = -2*g + 6*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = -d, 15*b - 14*b + 3 = 3*d. Calculate the smallest common multiple of d and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61670303 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Put together 1.3663 and -0.1.\nAnswer: 1.2663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -170\/13 equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r - 16. Let f be k(-5). Put 5, 18, f in increasing order.\nAnswer: f, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000023180096 to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -94, -1\/46253, -1, 13?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, i: 2, t: 5}. Give prob of sequence ii.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1477*u - 670507 = -5558*u - 65497 for u.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 6. Let y be l(-4). Let v be 3 - (-4 - -3) - y. Let u(d) = 4*d + 7. Let h(a) = 2*a + 3. Give v*u(m) - 13*h(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/64*(-6)\/(-27).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/7? (a) -1 (b) -0.61 (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2278527260.\nAnswer: 2, 5, 113926363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(8\/13)*h\/h**(13\/2))\/(h\/(h\/(h*h**(-13\/7))*h*h)*h**(2\/13)) assuming h is positive.\nAnswer: h**(-397\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**3\/6 + 15*a**2\/2 + a. Let u = -7036 + 7044. Determine f(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l + 7. Is 12 a factor of g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01386 + 0.81386. Does -195 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-774*o + 317*o - 270*o - 856*o).\nAnswer: -3166*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 5*g**2 - 4*g. Let q = -13 - -11. Let c be b(q). Suppose c*z = 1053 + 2875. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 27*t**2 - 28*t + 5. Let y be u(-28). What is the units digit of y*(0 + 212\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -137*t + 95*t + 97*t + (0*t - 3*t + 2*t)*(0 - 2 + 1) + 3*t - t + 2*t.\nAnswer: 60*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2 (b) -4 (c) 7\/12 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-10))\/((-21)\/42). Which is the fourth biggest value? (a) 2 (b) -11 (c) x (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.11470075 rounded to two dps?\nAnswer: 145.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 662441*i + 2*i**2 - 662441*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2115 >= -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*s, -61*c - 5*s = -62*c - 40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 70. Suppose -5*b - 135 = -14*b. Calculate the remainder when y is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4878 + 1717. Let m = -1908 - v. What are the prime factors of (-2)\/(-10) + m\/35?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 85*r - 37 + 93*r - 173*r. What is the remainder when q(29) is divided by 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 9439.\nAnswer: 20\/9439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1689, 5, -2, -8, -11, -5.\nAnswer: -1689, -11, -8, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*((-24)\/18 - 21\/(-9)). Differentiate -13*z + t*z + 20 - 4*z - 11*z wrt z.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120963987 to the nearest integer?\nAnswer: 10998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 0.2. Let f = l - 0.3. What is the second biggest value in 2, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p + 5. Let z(x) = 3*x - 2. Let v(u) = 4*a(u) + 7*z(u). Let h(c) = 4*c**3 - c + 1. Let s be h(1). Suppose s = -0*n + n. Calculate v(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44616716 to the nearest integer?\nAnswer: 6680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 14*t + 14. Let j(v) = -14*v - 15. Let b(p) = 5*j(p) + 6*s(p). Let r(m) = -7*m - 4. Suppose 7*l = 5*q + 63, 239 = q + 246. Determine l*b(u) + 9*r(u).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4 = k, -3*y - 28 = -3*k - 7*y. Sort -2, 12, k in decreasing order.\nAnswer: 12, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3651*p**2 - 11*p + 153 wrt p.\nAnswer: -7302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 226 - 19 = 0. Let k be (g\/(-12) + 2)*-4. Suppose 7*q = q + 18. Solve -j + 4*u = k, -q*u + 7 = -4*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 2, i: 6, o: 11}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**1\/d)\/d**(-9))\/((d\/(d*(d**(-11)\/d)\/d*d))\/d**(2\/25)))**35 assuming d is positive.\nAnswer: d**(-511\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t + 58. Give h(21).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61542 (base 12) to base 11.\nAnswer: -87397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145983 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.083 + 0.085. Let p = 0.032 + x. Which is smaller: p or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2392 = 3*j - 5*j, -4*r = -4*j - 1904. Suppose 2*o = -6*o + r. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 20 = -11*y. Suppose -y*j = 2*n - 1132, 9*n - 5*n = 4. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + -12242056?\nAnswer: -12242044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -9*a**3 + a**2 + a. Let g(w) = -4*w**3 - 2*w**2 - 2*w - 1. Let u be g(-1). Suppose -3*y + p = -u*p - 5, 6 = -4*y - p. Give t(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/3 - 388*y**2 + 61838*y\/3.\nAnswer: -2*y*(y - 49)*(y + 631)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*s**3 + 361*s**3 - 212*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**2*z**2 - 649*w**2*z + 16*w**2 + 41313*w*z - z**2 wrt w?\nAnswer: 4*z**2 - 1298*z + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i. Let q(h) = -6*h. Let m(o) = -5*n(o) - 3*q(o). Let z be m(-1). Let v = -631\/4 - -155. Is z less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 5:08 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2772 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1711 - 935 - 2*f**2 - 856 - f**3 to the form p + c*f + i*f**3 + h*f**2 and give p.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + i**2 + 14*i - 1. Let b be m(4). What is the third derivative of -11*w**2 + 0*w**2 + w**2 + b*w**2 - 45*w**5 - 14*w wrt w?\nAnswer: -2700*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -0.2, 0, 2\/73, 2\/139?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 15*y - 22. Let j be k(9). Solve 0 = 5*q + j, -q + 12 = 3*z + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1819, -3632, -5445, -7258, -9071?\nAnswer: -10884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161538 divided by 2071.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -1, 1\/5, 56?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -2\/3*f**3 - 1\/3*f**4 - 6*f - 1\/5*f**5 - 2*f**2 + 0. Let x(r) = -12*r**3 - 11*r**2 - 11*r - 11. Calculate 11*n(c) - 4*x(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f + 48*f - 874 = -544. Suppose -2*g = -2*z + 6, 2*g + g = z - 13. Sort f, -4, g, 0 in increasing order.\nAnswer: g, -4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - 11) + (-9 - -20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12835 > 12826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -4, 38, 80?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - j + j + (-1 - 5 + 4)*(8*j**2 - 26*j + 26*j) + 4 + 2*j**2 - 4 - 2*j**2 + 2*j**2 + j**2)*(625*j - 295*j - 494*j).\nAnswer: 1804*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 8*o + 4*d = 7*o + 3*o + 13, 5*o - 4 = 4*o + 5*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, -3, 2869 in increasing order.\nAnswer: -68, -3, 2869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 113278.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 293795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058 less than -3.287?\nAnswer: -3.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = 5229 + 2565. Find the third derivative of 28*d**5 + 41*d**5 + 35*d**5 + 434*d**2 + 42*d - q*d**2 wrt d.\nAnswer: 6240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/8 of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 774 - 422. Suppose 0 = c + 7*c - d. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1020)\/(-187))\/(-30))\/((-1)\/(-22)*-26).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 21. Let x be w(-7). Suppose -33 = -y + x. What are the prime factors of y?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**2 - 4105*i + 5125230 = 0. Calculate i.\nAnswer: -1503, 682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 230 = 5*n, -16 = 6*n - 2*n. Solve 7*i - 49 + w = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -107523 and -107522 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 13, u: 5}. Give prob of sequence cuuc.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*z + 134 + 9001 - 4557 = -8292 for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (3 - 42\/6)*(-29)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/13)*r)**(-28)\/(r\/(r*r\/(r*r**(-2\/25)))*r**(-3\/5)) assuming r is positive.\nAnswer: r**(-10279\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1.22 (c) 0.1 (d) -22.35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -716*j**2 + 1357*j**2 + 10182*j - 643*j**2 - 12128 with respect to j.\nAnswer: -4*j + 10182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h - 14. Let i(r) = r**3 + 6*r**2 - r + 7. Let b be i(-6). Let q be o(b). What is the highest common divisor of 266 and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*r**2 - 273*r**2 - 303*r**2 - 195*r**2 - 492*r**2.\nAnswer: -956*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/2, -3.8, -3\/31, 0.4, -383, -4?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 25 = -2*n + 103, 0 = 4*b + 5*n + 76. Let z = b + 24. Solve 5*d + 3*w + 15 = 4*w, z = -2*d - w - 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(-70)\/448*102\/15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 117\/26 + 2\/4. Let q = 7 - p. What is the third derivative of 4 + 2 - 6 - 8*j**q + 12*j**4 wrt j?\nAnswer: 288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38042704871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*r + 13*r - 15*r)*(55*r - 55*r - 10*r**2 + r**3).\nAnswer: 70*r**4 - 700*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - v**2 + 182*v + 3. Let t be w(13). Suppose 6*i = 10*i + 2*m, -5*i = 4*m + t. Let l(h) = 6*h**3 - h**2 + h. Determine l(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/117 and -25\/27.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33.6895974 + -33.69. What is p rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 3*i - 1. Let q(s) = s + 1. Let t(g) = -6*q(g) + 2*w(g). Is t(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/98369784 and 65\/254844.\nAnswer: 98369784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 81*m**2 + m + 1764. Let q(h) = 180*h**2 + 3*h + 3530. Let u(y) = -5*d(y) + 2*q(y). What is the derivative of u(l) wrt l?\nAnswer: -90*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:42 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/10120 and 65\/37444.\nAnswer: 374440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(700)*-2)**2 - sqrt(7)).\nAnswer: -2800 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**4\/9 - 2654*q**3\/3 - 43924*q**2\/9 + 7984*q\/3 = 0 for q.\nAnswer: -6, 0, 1\/2, 1996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 7, m: 2, r: 3, c: 1, w: 5}. Give prob of picking 1 p and 2 r.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -288551?\nAnswer: -288551.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = c + q, 5*q - 2*q = 3*c - 42. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -8) + 136 + -140.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4350 and 546534?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 11:58 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516, 1034, 1554, 2076, 2600?\nAnswer: 3126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -2\/3, -2\/107, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k - 10. Let f(s) = 4*s**2 + 6. Let h = 10 + -16. Let t(x) = 3*x**2 + 5. Give h*t(n) + k*f(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 56136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 16. Let r be -1 - 1 - (22\/n + -1). Calculate the remainder when 14 is divided by 3\/(r\/(-16)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.17 + -8.11. Let p = 6 + y. Let q = 1\/24 + 43\/120. Are q and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 1:53 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-114)\/(-18))*(-12)\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a week in hours?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6611140 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-1118))\/(517\/(-6721)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 1:16 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = q + 3*q - 3*n, 4*q - 2*n - 6 = 0. What is the remainder when q\/(-3*(-3)\/72) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -354, -712, -1070, -1428, -1786?\nAnswer: -2144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -14*i**2. Let r(g) = 138*g**2 - 2*g - 97*g**2 + 2*g. Calculate r(a(v)).\nAnswer: 8036*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t - 36 = 0. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 + 17 = -2*m. Suppose -12 = -s + 2*w, -5*s - w + 4*w + m = 0. Solve s*l + 2 = -4*n, 5*n - n = -3*l - 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2. Let d(a) = -16*a**2 + 3*a. Let p(x) = 15*x**2 - 3*x. Let g(n) = -4*d(n) - 5*p(n). Give g(m(t)).\nAnswer: -44*t**4 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34457, 69125, 103793?\nAnswer: 138461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmkmmmmmmmmmkmmmm. What is prob of sequence kk?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**7\/840 + c**6\/160 + c**5\/240 - c**4\/32 - c**3\/12 - c**2. Determine u so that w(u) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 354, 1590, 3686, 6648, 10482, 15194, 20790, 27276?\nAnswer: 34658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -1\/5 (b) -0.08 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-22)*y*y**(-44) assuming y is positive.\nAnswer: y**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3) + -4 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + m - 1. Let l be r(-3). Suppose w + 26 = -l*s + 128, 4*s - 3*w = 93. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2120?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 329261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9592 and 307816?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*b**4\/7 + 38*b**3\/7 + 176*b**2 - 910*b.\nAnswer: -2*b*(b - 7)**2*(6*b + 65)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194 bigger than 108\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**2\/2 - h. Let t(m) = -m - 1. Calculate -4*n(x) + 3*t(x).\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 304\/(-112) - (1 - -5).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + 16. Let y be (-4)\/14 + (-1514)\/(-56). Let q = h - y. Which is the closest to 1? (a) q (b) 0.2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2. Suppose 4*q = 957*y - 960*y - 8, q = -4*y - 15. Let c(h) = -3*h**2. Let t(j) = -2*j**2 - 1. Let i be t(-1). Calculate i*b(r) + q*c(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-5)\/(-28)))\/(2166\/(-6498))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h - 29 = -a, -4*a - 5*h = -41. Suppose f = a*f. Let k(d) = d**3 - d**2 - d + 2. What is k(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(0 - -12))\/(18375\/1500)\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2387*w + 2374*w = -20254. Is 38 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from ojtomvotmvjo.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/5 - 13*c**2\/5 - 6*c.\nAnswer: -c*(c + 3)*(c + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.455 - -2.455. Suppose -4*o - 2*p = -18, 4*o = 2*o - 2*p + 8. Which is the closest to y? (a) 0.5 (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -27*q**3 + 5210*q**2 + 323*q - 25093. What is c(193)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32276, 32267, 32258, 32249, 32240, 32231?\nAnswer: 32222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59139177 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 2)*(-2818*i + 1150*i - 1776*i) + i + 3*i - i to v + u*i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-3)\/5))\/(9\/(-81))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.6229 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = -0. Let r be o\/3 - (-40)\/12. Find the third derivative of -d**4 - 4*d**r + 2*d**2 + 6*d**4 wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 20 = 3*s. Let w = 83 - 79. Suppose -5*d + 0 = f + w, -d = f. Put s, -7, f in increasing order.\nAnswer: -7, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -21)\/(-1 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + 2.7. Let g = -15.64601675 + 18.646016. Let p = y - g. What is p rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h + 13*h**3 + 708 - 2*h**4 + 4*h**2 - 705 + 2*h**2 - 13*h**3 in the form z + t*h**3 + a*h**2 + u*h + v*h**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25582098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-508)\/(-34) + (-3)\/(-51).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 99a93a8?\nAnswer: -99a93a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8436, 8513, 8680, 8967, 9404, 10021, 10848, 11915?\nAnswer: 13252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 2*y**2 - 3*y - 1. Calculate the smallest common multiple of 57 and a(-1).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 8:33 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -221 divided by 261\nAnswer: -221\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 27*i**3 - 41223*i**2 - 42178518*i - 9370968 = 0.\nAnswer: -701, -2\/9, 2228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 41.6 (b) -1\/7 (c) -0.2 (d) -0.5 (e) -14 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v = -20. Calculate the smallest common multiple of v and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-800))\/((-4)\/16)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101011111110011000 + -10?\nAnswer: 111101011111110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 1, g: 1, l: 2, i: 1, v: 1}. Give prob of picking 1 l, 1 t, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-429)\/(-12) - -3) + 3\/(-4). Suppose 47*v - 108 = d*v. What is the remainder when 70 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 14*w + 20. Let j be y(15). Suppose -8*c + 2*p - 21 = -11*c, 15 = j*p. Solve -4*v - u + 18 = 2, c*u - 5 = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85668 and 6372?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*a - q, -2*a + 3*q + 6 = a. Let w(l) = 8*l**3 + l. Determine w(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*q - 14, -6*w + 10 = q - 0. Solve -i = -b - 3*b - 4, 2 = -4*i - w*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107520 - 54584. What are the prime factors of c?\nAnswer: 2, 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1588\/36 - (-16)\/(-144) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*i**2 - 59*i**2 - 39 + 39.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2450 - 1889. List the prime factors of z.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2 - 27*n**3 + 22*n**3 + (0*n + 2*n - 3*n)*(-2*n**2 - n + n) to the form q*n**2 + s*n**3 + w*n + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - (-43 + 19)) + 1 + 3 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8364848 years?\nAnswer: 10.0378176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 108663978?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2490663 and 4011?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -852872941*h**3*o - 6*h**3 + 2542*h**2 - 2*h - 207 wrt o.\nAnswer: -852872941*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2, -18*w + 21850 = -13*w - 5*p. List the prime factors of w.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from sgrguffr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1405, 0.1, 0 in increasing order.\nAnswer: -1405, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**3 - 10*x**2 + 2*x - 2. Let t(y) = -35*y**3 + 49*y**2 - 11*y + 11. Let c(a) = 11*b(a) + 2*t(a). What is the third derivative of c(f) wrt f?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10020 is divided by 3295?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-4\/7))\/((k\/(k*k*(k*(k*k\/(k*k*k**(-1\/5)*k))\/k)\/k*k))\/k))\/((k**(2\/5)\/k)\/(k*k**0)) assuming k is positive.\nAnswer: k**(188\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*sqrt(45)\/sqrt(3))\/(sqrt(75)*2).\nAnswer: 1 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 360, 1006, 0, -1 in descending order.\nAnswer: 1006, 360, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48148 and -5?\nAnswer: -240740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -9990*i**2 + 639359*i + 78. Determine j(64).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, -44, -336, -944, -1982?\nAnswer: -3564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/10)\/(6\/20). Let w be n\/6 - 2\/3. Let s = w - -6. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from raxaixaaxindrd?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 619 - -a1?\nAnswer: 70a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118178*p*z**2 + 1535089*p*z + 42*p + 134*z**2 wrt z.\nAnswer: -236356*p + 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + q = -10, 4*q + 12 = -2*h - 0*h. Is (2 - 2 - h)\/((-2)\/1973) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = a + 3*a. Suppose a*j + 51 = 5*q, q - 1 = -2*j - 2. Suppose -q*d + 60 = -3*d. Solve d = b - 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 = f - 4*m, -5*f + 33 = 2*m. Suppose -6*z - f + 29 = 0. Factor -2\/3*c**3 + 0 + 1\/3*c**2 + 0*c - c**z.\nAnswer: -c**2*(c + 1)*(3*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 95. Round y to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (5 + 2 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/20 + 2*12\/15. Let h be (-57)\/38*r\/1*2. Let n be (80\/(-48))\/(1\/h + 0). Solve 0 = 3*p - 4 - n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.21 times 17832\nAnswer: -39408.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -0.8. Let p be 18\/14 + 6\/(-6). What is the nearest to -2\/3 in p, q, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*f + 37 + 68 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (810\/108)\/(150\/(-1100))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-5))\/((-90)\/(-75)). What is the nearest to q in 4, 1, -383?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3496, -14027, -31578, -56149, -87740, -126351?\n\"Answer: -3510*t**2 - t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4284 + 4536 = 18*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572470422.\nAnswer: 2, 3, 83, 1149539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 + 2. Suppose -4*x = -5*g - 60, 5*g - 54 = -4*x + 46. Let u be x\/(-15) - 26\/(-6). Put i, u, -2\/11 in decreasing order.\nAnswer: u, -2\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2211)\/(-132)*-3 + 50.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553*v + 76 + 570*v - 1124*v.\nAnswer: -v + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 0.15105.\nAnswer: -0.34895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -114 - (-7 - (-1 - -14 - (-37 - -37 - -14)))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5351\/12775 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 8554 - 8311 = 0. What is the remainder when 1113 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -505, 4, 37270?\nAnswer: 37270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, 84218 in decreasing order.\nAnswer: 84218, 13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2635, -21072, -71115, -168568, -329235, -568920, -903427, -1348560?\n\"Answer: -2634*t**3 + t**2 - 2*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69738261?\nAnswer: 3, 1571, 14797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -297, -424, -551?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 325 - -32. Let j be x\/(-68) + (-2)\/(-8). Sort j, 0, 2 in increasing order.\nAnswer: j, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/3 + 8\/(-78). Let v = i - -2567\/312. Calculate the common denominator of v and 66\/28*(-2)\/6.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 3. Let b = 148 + -146. Sort 0.5, b, x.\nAnswer: x, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1 + j + 2 + 1. What is c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0*g - g - 2*g - g + 0*g + (-1 - 2 + 4)*(3 - 3 + 2*g))*(-2*g**2 + 2*g**2 + 4*g**2).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*d**2*q**3*z - 2*d**2*q**3 - 2*d*q**3*z - 4*d*q*z + 2*d*q - 5*q**3*z wrt d.\nAnswer: 152*q**3*z - 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1859122566 divided by -938?\nAnswer: 1982007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -75577252 - -5?\nAnswer: -75577246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001271 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1834248055 to the power of 1\/2, to the nearest integer?\nAnswer: 42828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 8 = -6*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 9*n + 10. Let o be m(-8). Suppose -5*j - o = 8. Let i be (-12000)\/(j*9\/(-60)). What is i rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -818 - -896. What is the remainder when 239 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550123 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115432508 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 2:27 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -535980 or -535807?\nAnswer: -535980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*l - 82 = 0, 0 = 3*k + k + 2*l + 102. Let j = k - -48. Let m = -21 + j. Solve -m*r = -0*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 1. What is the smallest value in 1, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 2*y - 2*y)*(-12968*y**2 - 8353*y**2 + 2 - 2 + 0) to h*y + j + v*y**3 + w*y**2 and give v.\nAnswer: 21321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 562 divided by -53?\nAnswer: -562\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/30 and 103\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/249696 and -31\/88.\nAnswer: 2746656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131371 to the power of 1\/2, to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.7 - 10.8. Which is the smallest value? (a) -1 (b) -2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**5\/150 - 3*i**4 + 540*i**3 - 294*i**2 - 2. Factor h(s).\nAnswer: 2*(s - 90)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-6) - (-33)\/3. What is the least common multiple of 4 + (24 - h\/(-4)) and 7?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + b + (1 - 3 + 3)*(-445 + 445 - 26*b) + (2 + 3 - 6)*(-2*b + 4*b - 4*b) - 5*b - b + 3*b.\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, l: 2, v: 1, s: 8, h: 6, k: 1}. Give prob of sequence vlhs.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + f**3 + 0)*(-197 - 259 + 36).\nAnswer: -420*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10859 = -12*t + 78721. Is -5*(-12)\/(-30) + t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-5 - -11) + 4. Suppose h = 8*k - 4*k - b - 2308, 0 = b - 4. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9698.599 millennia?\nAnswer: 96985.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*n + 13*n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*c**2 - c + 5*c**2 + 8*c**2 in the form z*c + v*c**2 + f and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8207*j - 763428. Determine f(93).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 5*u**3 + u**3 + u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 9) to base 15\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.107236 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-75)\/(-4))\/(-5)*-4. Calculate the common denominator of 6\/(-56)*(-328)\/12 and (y\/(-96))\/(1\/6).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 6*s + 7. What is f(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*(-2)\/(-6))\/((-2)\/(-12)). Let z be (-2 - (q + -75)) + -4. Determine s, given that z*s - 25*s**3 - 106*s + 52*s**2 - 7*s**2 + 5*s**4 + 10 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66\/17 - -247\/68. Which is the closest to 1? (a) 0.01 (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.2, -5, 2\/271, 1\/12, -1\/2?\nAnswer: 2\/271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzknknnvnknnkkknkknn. Give prob of sequence kz.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 23) + -55 + 61 + 2 + 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 836308.9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*y - 382 = -1322. What is the greatest common factor of 244 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1191285890?\nAnswer: 2, 5, 181, 658169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 91*r - 104*r + 245*r + 0*r**2 in the form m*r + z + d*r**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + z**2 - 2*z**2)*(131167 - 131150 - 15*z + 12*z)*(2 - 2 + 1).\nAnswer: 3*z**3 - 17*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 96*k**2 + 660*k - 1400.\nAnswer: 4*(k - 14)*(k - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36829 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 + 53*l + 158. Determine q(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 11:24 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 117*t + 40. Let v be u(39). Suppose 4*p - 48 = p. Suppose -11*x = -p*x + v. Calculate the smallest common multiple of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4*m*m**4\/m assuming m is positive.\nAnswer: m**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 4202?\nAnswer: 4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1304*l + 5683. Determine g(4).\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 15) in base 5?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 + 13*m + 33. Let n be z(-7). Let g = -83 + n. What is the highest common factor of 12 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438596 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: Let m = 24 + -6. Let j = m + -14. Solve j - 19 = 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 + 250. Let h = q - 316.1. Round h to 0 dps.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-3)\/(-9)) - -6. Let s = 2 + v. Solve 2*d**2 - 3*d - d + 4 - s*d**2 + 4*d**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(539)*-4*-5)**2 + 4 + -3.\nAnswer: 1078001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 242, 0, -3, -70 in decreasing order.\nAnswer: 242, 0, -2, -3, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 7*v - 36. Let j be x(-13). Let y = j - 208. Solve y*i - 15 = 6*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.14 - 0.44. Is -40 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q**2 - 6 + 6)*(-2 + q + 2 + (0*q - 2*q + 3*q)*(-3 - 4 + 3)) as d*q**3 + b*q**2 + h + i*q and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 326513 = -304737. Let t be j\/(((-4)\/(-16))\/(-1 - -39)). What is t rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.731857 rounded to 1 dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, o: 1, b: 2, n: 1, e: 5, c: 7}. What is prob of sequence mec?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -13 (b) 0 (c) 96\/13 (d) 0.2 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210694 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19863 = 102*w + 11499 for w.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*sqrt(128) + 4*(-2*sqrt(800) + sqrt(800))**2.\nAnswer: 120*sqrt(2) + 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 746*x + 45*x + 88*x + 865*x.\nAnswer: 1744*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*(sqrt(7) + (sqrt(49) + (sqrt(49) - sqrt(49)*1))\/sqrt(7)))**2.\nAnswer: -20*sqrt(7) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(-1608*o + 62*o**2 + 1608*o).\nAnswer: 186*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1146562271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(35\/29260*171).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + -117. Suppose -5*k = -6*k + i, -3*o + 3*k = -8700. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtmmnmpmm. What is prob of sequence mm?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(8\/3)\/p**(-46) assuming p is positive.\nAnswer: p**(146\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1492374045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18484 + -17\nAnswer: -18501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -8. Let j be (1\/(-3))\/((-1)\/l). Which is the second biggest value? (a) -2 (b) j (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 335*u - 354*u + 816791. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2050 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190098080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -20*b**3 - 995*b**2 - 4745*b. Let s(d) = 3*d**3 + 141*d**2 + 678*d. Let o(z) = 2*r(z) + 15*s(z). Find v, given that o(v) = 0.\nAnswer: -17, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2732600 to the nearest ten thousand.\nAnswer: 2730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -2, -225417, 2, -3 in ascending order.\nAnswer: -225417, -5, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 1. Let d(m) = 4*m**2 - 7*m + 6. What is -d(p) - 6*w(p)?\nAnswer: 2*p**2 + 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28348 = 1025*m - 2927*m + 11705 - 111 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4)**8\/(g**(1\/2)\/g**(-25)) assuming g is positive.\nAnswer: g**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 3*p)*(2215 + 679 - 1194 + 934 + 2870 + 4151) in the form o + z*p and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 85 = 4*x. Let v = -27 - x. Let m = v + -158. What is m rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-24))\/(49\/980) - (-1)\/3.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjf. What is prob of picking 1 f and 1 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 5*r - 2*r)*(r**2 - r**2 + 2*r**3)*(-6*r + 38 - 38).\nAnswer: -36*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -0.3, 1\/2, 315, 0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 329784303 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2. Let g(j) = -3*j**2. Let n(o) = -6*g(o) + 5*y(o). Let t(z) = z. Give n(t(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 8*p**2 - 3*p**2.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2299466 divided by 19487.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rhrrrrhhrrhrhr?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q = -11*q - 2*q - 4*n - 28, -5*q = 3*n - 35 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15794 and 212?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52547 and 2703?\nAnswer: 8354973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdwwwdwgnh. What is prob of sequence gnw?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -49*o + 499. Solve -v = -5*v - 2*q + o, 4*v = 4*q + 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w + 9. Suppose 0 = j + 5*m + 24, 0*j + 3*m = -2*j - 20. Let p(z) = -4*z - 4. Let n(c) = j*i(c) - 9*p(c). Let t = -3 + 4. What is n(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by -12344.\nAnswer: -27\/6172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-85)\/(-2))*1.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-65)*(-10)\/44.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.42, 0, 0.11, 39.3, 1\/15?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**5\/20 - 11*p**4\/12 - 7*p**3\/2 + 3*p**2 + 28*p. What is the remainder when 1348 is divided by q(13)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36553*p - 36132*p + 7578 = 0 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 - 8 + 2*b**2 + 3 + 23*b**2 + 9 to i*b + x + y*b**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppdrppdp. Give prob of sequence dp.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6489 - -4116. What is the thousands digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 5*q**2 + 5*q**2)*(20 - 20 - 49*q)*(2*q**2 + 0*q**2 - 3*q**2).\nAnswer: 490*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -630182289 + 630182289 + 3*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/10 and 87\/930490.\nAnswer: 930490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(202950\/(-533)) - (-3)\/75\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.2 + 0.8. Let n be (-9)\/(-4) + 4\/(-2). What is the biggest value in 1, f, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**2\/2 + 95. Let l(q) = q**3 - 8*q**2 - q + 10. Let a be l(8). Let f(g) = 3*g**2 - 3*g**a + 2*g**2. Calculate f(x(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -378, -8479?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11524\/25 + 461. Let s(u) be the first derivative of 0*u**2 - 2\/15*u**3 - v*u**5 + 7 + 0*u + 3\/20*u**4. Determine r so that s(r) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -72, -22, -18 in decreasing order.\nAnswer: 24, -18, -22, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3 - 3 + 5 + 2. Let m(n) = -2. Let u(b) = -3*m(b) - 5*q(b). Let a(p) = -2*p**2 + 6. Let v = 41 - 40. Determine v*a(l) - 6*u(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12193 - 7536. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4474225\/307 - -14574. Is n >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i. Let k(q) = -q**2 - 3*q + 12. Let r be k(-5). Let d(w) = 3*w - r*w + 0*w. What is -5*d(s) + 3*v(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 16*h**2 - 23*h + 104. Calculate the remainder when m(4) is divided by 223.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/(2*sqrt(10)))**2 - sqrt(2)) + sqrt(32) + sqrt(128) + 2 - (sqrt(128) + 0 - (sqrt(2) + -1 + sqrt(50))**2).\nAnswer: -9*sqrt(2) + 151\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwhh when four letters picked without replacement from wwhhhww.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*h + 112*h - 232*h = -12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -120, 733 in decreasing order.\nAnswer: 733, 5, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -35023 - -0.5?\nAnswer: -35022.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1092 and 29\/56?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**3 - 4*a + a**2 + 2 - 3*a**3 - 5. Let d(h) be the first derivative of 3*h**4\/4 + h**3\/3 - 5*h**2\/2 - 4*h - 2. Give 4*d(i) - 5*p(i).\nAnswer: 2*i**3 - i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 + -4. Suppose n = g - 137. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*n = -7*q - 16, q + 2*n = -2. Let v(f) be the third derivative of -4*f**4 + 5*f**3\/6 + 2*f**2. Is v(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*v + 163 = -2*j, 5 = 5*v + 41*j - 45*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731504?\nAnswer: 2, 131, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8190 and 85995?\nAnswer: 171990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11494 and 22?\nAnswer: 126434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*g = 10, 0 = 2*b - 3*g - 1. Suppose 3*w - 33 = -b*o, 0 - 3 = o. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Let z = -0.2 + 0.1. Let c(y) = y**3 - 16*y**2 + 14*y + 19. Let u be c(15). What is the closest to q in -3, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.239785 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**22)\/u**(19\/4) assuming u is positive.\nAnswer: u**(-103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 0 (c) 8849\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-5 + 6 - (-2 - -1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680808917.\nAnswer: 37, 18400241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2724, -17497, -44316, -83181, -134092, -197049?\n\"Answer: -6023*v**2 + 3296*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 686*f - 1363*f + 701*f. Let m(p) be the second derivative of -p**3\/2 + 90*p. Calculate m(y(c)).\nAnswer: -72*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.4 + -0.4. Suppose -2*t + 2 = 0, -5*o - 5*t - 10 = 5. Which is the closest to -0.1? (a) 2\/13 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7881?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257541 is divided by 504?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 + 14*c**3 - 22*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-880)\/(-5610)*3\/(-8)*(-178)\/(-267)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by 135490.\nAnswer: -57\/67745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7775 times -0.3?\nAnswer: 2332.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 4*x**2 + x**2)*(-2 + 2 + x) + (2*x - 2*x - 2*x)*(3*x**2 - 3*x**2 + 2*x**2).\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 2:29 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 13. Suppose 0*n = 4*t - 3*n - 27, n = j. Calculate the remainder when 33 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-35) - 114\/7. Let q = -14 - g. Suppose 3*r + 3*p - 156 = 0, -q*r - 50 = -3*r - 3*p. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 8*a + 4 = 0. Sort 0.4, a, -2\/5.\nAnswer: -2\/5, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1426 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107251, -214489, -321727?\nAnswer: -428965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 + -42. Let i = 47.1 - k. Which is the nearest to i? (a) -2\/7 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2500)\/250 + 0 + 14. Solve -2*n + 3*n = -b - 1, -11 = -3*b + o*n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 m, and 2 w when four letters picked without replacement from awpmdmwcdddccwp.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Let m(o) = o**2 - 35*o + 196. Let u be m(7). Solve u = v - 0 - d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*r)*(0*r**2 + r**2 + 0*r**2) + 23*r**2 - 23*r**2 + 8*r**3 + (52*r - 52*r + 16*r**3)*(42 + 8 - 3) to y*r + k*r**2 + d*r**3 + h and give d.\nAnswer: 758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = 0, 419 = -3*f - 2*d + 13476. What is the remainder when f is divided by 1450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 32*y - 35. What is the remainder when s(23) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*o - 84*o + 180*o + 369*o + 272*o.\nAnswer: 594*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1747662 - -1?\nAnswer: 1747663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16821 - -23731. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135662514 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -403.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*sqrt(1764) - 1*sqrt(2401))\/((sqrt(567) + (sqrt(567) + -5*(2*sqrt(567) + sqrt(567)) - sqrt(567)))\/sqrt(9)).\nAnswer: -2 - 11*sqrt(7)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 13 + 63. Let f be (4\/7)\/(n\/7). Which is smaller: f or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + v - 4. Let c(k) = k**2 + k - 5. Determine 4*b(i) - 3*c(i).\nAnswer: i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/32260 and -2\/72585.\nAnswer: 290340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = i - 54, 3*i - 7*i - 44 = -4*a. What is the remainder when 23 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 294?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21086 - 5111 = -n + 4*x, -2*n - 3*x + 52471 = 0. What are the prime factors of n?\nAnswer: 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 637128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-356)\/(-801) - (-20)\/(-108)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 58, 155, 284, 439, 614, 803, 1000?\nAnswer: 1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -16. Let h be (g + 34\/(-9))\/(-2). Is 1 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/127 (b) 4 (c) -29 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**4\/6 + 6*q + 5. Let z(r) be the first derivative of h(r). Let f(c) = c**2. What is f(z(m))?\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 1600.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*g - g. Let y be 4\/g + (-2 - 52\/(-6)). Suppose 2*n = y*n. Solve -9 = -3*m - n*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 8*l**2 + 11*l - 4. Determine j(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 25.0076. Let d = g + 0.3141. Let y = 0.3 - d. What is y rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*u - 326 + 156. What is the remainder when (-164)\/(-6) - 2\/6 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-94 - 48 + 1278 + 899 - 132)*(0*a + 0*a + 3*a) as w + t*a and give t.\nAnswer: 5709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 56024*y + 112050. Determine n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 15*s - 18. Let v(z) = -z**3 + 4*z**2 + 14*z - 7. Let l be v(6). Let r(y) = -y**3 + 4*y**2 + 7*y. Let x be r(l). What is the units digit of n(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1030?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980373?\nAnswer: 3, 17, 47, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2537828 is divided by 507556?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 2. Let f(a) = -2*a + 4. Let c be f(4). Let x be ((-6)\/c)\/((-5)\/(-10)). List the prime factors of u(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/(3\/(-6)). Let k(x) = 771*x**3 - x. Let y be k(p). Suppose 0 = -10*m + 5*m + y. What is the greatest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165025*g**2 - 82498*g**2 - 30 - 82527*g**2 + g**3.\nAnswer: g**3 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w + 9. Let b = w + 1. Let a be 3\/b*4\/(-3). Solve -5*f - 22 = u, a*u - 5*f = -5 + 36 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/27)\/d)\/d*d)\/d**2 assuming d is positive.\nAnswer: d**(-79\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-92)\/(-3)*(-42)\/(-28).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 15) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530990171.\nAnswer: 157, 3382103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 12*p**2 - 8*p - 23. Is 10 a factor of n(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-90)*2 + 41*(-28)\/17220.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.1, 1, -8, 15, 0.4, 4\/7, -404?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2 + 10. Suppose 3*j = 2*z + 15, -q*j - z = j - 9. Suppose -j*r + 29 = -61. What is the highest common factor of 45 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3005824?\nAnswer: 2, 23, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vppcp. What is prob of sequence pcvp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 5:55 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2. Let k be 3 - (-1)\/(-3)*0. Let m(a) = -3 + 1 + 2 + k*a. Determine g(m(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50997 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/(-2))\/(((-22)\/(-164))\/11) is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002 a factor of 8110533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 71576808 divided by 1913\nAnswer: 37416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 + 168. Let z = d - 69.67. Let g = z + -0.13. Which is the biggest value? (a) 2\/5 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 4*l**2 + 6*l - 5. Suppose 5*j - 8 - 12 = 0. Suppose 5*v - j*v - 2*g = 3, -5*g - 20 = -5*v. Calculate c(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.15, 2, -2\/9, 1\/3, 1995?\nAnswer: 1995","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 14*b**3\/3 + b**2 - b + 3. Let v be h(1). Calculate the highest common divisor of v and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 9. Let n(v) = -4*v**3 - 2*v**2 - v. Let q be n(d). Suppose -2*k - q*k = 30. Is -4 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + -4 + 65 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**4 - 24*u**3 - 12*u**2. Let m(p) = p**4 + 3*p**3 + p**2. Let z(j) = -a(j) - 8*m(j). Factor z(n).\nAnswer: -4*n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669793 is divided by 5631?\nAnswer: 5335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -13*k**3\/3 + k - 181. Let p(x) = -4*x**2. What is p(d(g))?\nAnswer: -676*g**4 + 104*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48554.53013 + 48577.53. Let k = 23 - f. What is k rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7740389 kilometers in millimeters?\nAnswer: 774038.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -547 (base 15) to base 16.\nAnswer: -4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9876469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.186 - -0.03.\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52142 is divided by 350.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1673, -2, 2, 0, 4 in ascending order.\nAnswer: -1673, -2, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1030*h = 745*h - 268*h - 4521 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298723270.\nAnswer: 2, 5, 71, 420737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f, 11*f - 2*f - 4*f = -t + 7853. Does 90 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 2*m**2 - 21*m + 13. Let s be q(6). Solve 11*h + 5*z = 7*h - s, -5*h + 2*z = 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 5 (c) -1.8 (d) 1.7 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2495*y - 36867 - 92873 = 0 for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/1452 and 74\/3993.\nAnswer: 15972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0441 + -0.1399. Let s = c - -55.184. Put -4, s, 0 in decreasing order.\nAnswer: s, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 6*u - 15. Suppose 0 = -z - 0 + 9. Suppose -3*h + z = -0*h. Solve -9 = h*o + u*q, o + 2 = -5*q - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 42. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*j - 18 + 6, -2*k - 8 = 0. Which is the third biggest value? (a) 8 (b) -219 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44082?\nAnswer: 2, 3, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-15)*-16*(-186)\/1984?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477959 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -677 - -1135. List the prime factors of n.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57616*n**2*v**3 + 160*n**2*v - 254*v**5 + 49610*v**2 wrt v.\nAnswer: 345696*n**2 - 15240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30937538?\nAnswer: 2, 281, 55049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i - 2*i**2 + 4*i)*(2 - 29*i - 30*i + 19*i) to the form t + z*i**2 + b*i**3 + a*i and give b.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*r**4 - 6*r**4 + 6*r**4)*(-1 - 2 + 1 + (3 - 3 - 1)*(-1 - 2 + 4) + (1 + 1 - 5)*(0 - 2 + 4)) in the form u*r**4 + h*r + q*r**2 + x*r**3 + a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -3, -8 in increasing order.\nAnswer: -8, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**2*g - 4*c**2 - 3*c*g + 5*c + g - 232 wrt c?\nAnswer: 4*c*g - 8*c - 3*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164871717 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*-4*(sqrt(336) - -2*sqrt(336) - sqrt(336))\/((sqrt(84) - sqrt(21))\/sqrt(3)))**2.\nAnswer: 960*sqrt(3) + 76809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145 a factor of 430454342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (9 - (-6 - -5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 3*p**3 - 1 + 3*p - 6*p**2 + 5*p**2. Let n be r(1). Is n\/(2\/63) - 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.89961 and 8.\nAnswer: -7.19688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 2*b - 2. Let h(o) = -o**2 + o + 1. Give 2*d(y) + 4*h(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10733\/24, 2, 6, -6?\nAnswer: -10733\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3 + x**2 + x + 14*x + 1 - 6*x. Calculate d(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162 (base 13) to base 14.\nAnswer: 13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23736*d**2 - 23736*d**2 + 2*d - d**3 - 4*d**4 + (d**2 - 2*d + 2*d)*(2*d**2 - 8*d**2 + 2*d**2).\nAnswer: -8*d**4 - d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*8\/(-32)*1)\/((-207)\/(-18))*-2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*w + 22 = -7*w, 2*w = 4*g - 20 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 40955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -89*o**2 - 1676*o - 1680. Determine i(-1).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 25*z**2 + 4*z. Let q(f) = 2001*f**2 + 322*f. Let x(o) = -2*q(o) + 161*s(o). Let m(p) = -16*p**2. Calculate x(m(k)).\nAnswer: 5888*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48\/77 + 10\/11. Let m be (9\/(-12))\/(99\/24). Put y, m, -0.1 in descending order.\nAnswer: y, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1459 is divided by 157.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-5 - -2) - (-1 + -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -64*v**3 + 2 - 60*v**3 + 126*v**3 - 3*v + 0*v + v**2. Let h be l(2). Solve -5*j - 4*z = -j + h, 2*j + 5 = z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191567, 191568, 191569, 191570, 191571?\nAnswer: 191572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-4 + 4 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p - 2. Let h(z) = -329*z + 70. Calculate -h(w) - 35*s(w).\nAnswer: 469*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -619 - -622. Sort -8, 0.4, t in ascending order.\nAnswer: -8, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 - h**3 - 5*h**3 + 3*h**2 + 4 - 20740*h - h**2.\nAnswer: -3*h**3 + 2*h**2 - 20740*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 1934*m + 1935.\nAnswer: -(m - 1)*(m + 1935)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7647, 8333, 9019?\n\"Answer: 686*p + 6961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {s: 2, m: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 13*l - 32 = 0. Suppose -14 = -3*f - i, -5*f + 4*i + 8 + 4 = 0. Solve -l*j - 2*j + 13 = -n, f = j - n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29061184 to the power of 1\/2, to the nearest integer?\nAnswer: 5391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15266, 15468, 15670, 15872, 16074?\n\"Answer: 202*y + 15064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606188.\nAnswer: 2, 11, 23, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d + 46*d - 24*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - 94\/(-24) - (-276)\/(52 + -121) and -125\/762.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzm when four letters picked without replacement from mzzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-408\nAnswer: 81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -0.2, 2\/19, -0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.415 to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*k - 15*k**3 + 35*k + 16*k**3 + (k - k - 2*k)*(0*k**2 + 4*k**2 - 2*k**2) + 0*k**3 - k**3 + 2*k**3.\nAnswer: -2*k**3 + 57*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27395946.\nAnswer: 2, 3, 113, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 39*g + 2. Let f(z) = 564003*z + 2. Determine f(y(i)).\nAnswer: 21996117*i + 1128008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11858, -23808, -35766, -47732, -59706, -71688, -83678?\nAnswer: -95676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(65)*-5 + 3*sqrt(65)*-1)\/(sqrt(30)\/(sqrt(12)\/sqrt(2)) - sqrt(5) - sqrt(10)\/sqrt(8)))**2.\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -29769?\nAnswer: -8930.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -118*q - 5. Let p(f) = -f + 1. What is d(z) + 5*p(z)?\nAnswer: -123*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 124*a - 1932. Let h be w(-14). Solve -t + 4 = 4*z, h = t + 9*z - 8*z + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4, 5*p + 4*d = -16. Let y be 1 + p\/4 + 5. Suppose 11*f - y*f = 504. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 137713, 137738, 137777, 137830, 137897, 137978?\n\"Answer: 7*p**2 + 4*p + 137702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 6 - 2 + 21*c**3 + 21*c**3 + 31*c**3 - 72*c**3.\nAnswer: c**3 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 925 and -4.011.\nAnswer: -3710.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x + 5*j = 4, -50 = -4*x - 2*j. What is the remainder when 30 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q. Let m be p(-4). Let g be ((-1)\/(-5) - (-1092)\/65) + -5. Suppose 140 + g = m*d. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.2, 0.3, 9 in increasing order.\nAnswer: -2, -0.2, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 596659, 596658, 596657, 596656?\n\"Answer: -x + 596660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -185, -615, -1435, -2771, -4749, -7495?\nAnswer: -11135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -500250152?\nAnswer: -500250144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 565 and 181550433?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 35 = 5*u, -6*z = -2*u - 8*z + 6. Solve 0 = -3*i + 3*p, 5*i + u*p = 26 + 24 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11464373*t**2 + 2*t - 206479 wrt t?\nAnswer: -22928746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 35. Find the third derivative of -6*t**4 + t**2 + 25*t**m - 6*t**2 wrt t.\nAnswer: 456*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - g**2 + 3*g**2 + 4)*(-4 - 6 + 5).\nAnswer: -10*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 5)*(2*o - 2*o + o)*(4945*o + 3148*o + 1214*o + 1433*o - 472*o).\nAnswer: -20536*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2819*v + 8389*v - 2783*v - 2792*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -h - 5 - 28, 6*m - 350 + 311 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 6, 2*y - 3 = 4*j - 27. Suppose -6 = -0*p - 2*p - 2*s, 0 = j*s - 25. Sort 5, 1, p in increasing order.\nAnswer: p, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -2*p**3\/3 - 93. Suppose -4*s + 4*k - 8 = 0, -s + 3*s + 16 = 5*k. Let y(l) = -1 + l**s + 1. What is y(t(j))?\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*z - 5, 3*z + 12 = j - 2*j. Solve 0 = -0*m + 4*m - 16, -j*v - 5*m = -20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 7*w + 19. What is the remainder when o(9) is divided by 2\/(-8) - (-164)\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21, 62, 175, 396, 761, 1306?\n\"Answer: 6*w**3 - w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57? (a) -2 (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2674884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 78*u - 5. Determine a(2).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -2\/9 (c) 0.5 (d) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -38, 2, 0 in decreasing order.\nAnswer: 4, 2, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 984 = -4*g - 88, 4*a = -2*g + 448. Suppose -g = -4*h + 16. Suppose -4*k = -4*c - h, 0 = 3*c + 4*k + 64 + 9. What is c rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 12*u**2 + 2*u - 15. Let d be z(12). Solve 3*v + 6 = -d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47\/5 + -131\/15. Let j = 0.09 + 1.91. Let m be (3\/30)\/((-1)\/(-4)). Which is the second biggest value? (a) z (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 26598.\nAnswer: 1595880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*l**2 + l**2 + 6*l**2)*((2*l + 2*l - 7*l)*(l + 2*l - 4*l) - 6*l**2 + l**2 + 4*l**2) as b*l + s*l**2 + o*l**3 + h*l**4 + u and give h.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -97264*h - 1. Let w(d) = -6*d. Give f(w(u)).\nAnswer: 583584*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*t**2 - 2 - 1)*(-1 + 2 - 5).\nAnswer: 12*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3457, 3457, 3453, 3445?\n\"Answer: -2*x**2 + 6*x + 3453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 3, v: 7, b: 1, a: 1}. Give prob of picking 1 b and 1 i.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1256 + -1255.9. Let v = -3\/13 + 53\/117. Which is the nearest to -20? (a) v (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**4 - 2*b**3 + 68452*b**2 + 9*b - 9347732.\nAnswer: 4*b**3 - 6*b**2 + 136904*b + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -z + 12. Suppose z*l - 4 = 5*l. Solve -l*q = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)*b\/(((b**(11\/5)\/b)\/b)\/b)*b**13*b**(-4\/3))**(-1\/39) assuming b is positive.\nAnswer: b**(-82\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1015\/(-58)*(-32)\/10. Suppose -r*b - 1745 + 15017 = 0. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -1. Let r(d) = d**3 + 7*d**2 + 5*d + 7. What is the remainder when 37 is divided by r(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**5\/20 + 13*i**3\/6 - 18*i**2 + 23. Let x(m) be the second derivative of w(m). What is the derivative of x(c) wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05432231573 to 3 dps.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 1. Let u(n) be the second derivative of n**4\/2 - 5*n**3\/3 + 5*n**2 - 260*n. What is 2*u(d) - 20*x(d)?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/31))**(-2\/35))**(-13) assuming a is positive.\nAnswer: a**(-52\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 8:45 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 5. Let p be w(-5). Suppose 5*d = -5 - p. Is d less than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1325544504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 185. What is the remainder when p(-71) is divided by 2\/(-6)*(6 - 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*b + 10. Let o be b*((-1233)\/15)\/(-3). Suppose 4*m = -3*i + 223, -5*m + o = -2*i + 4*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, 84, 156, 226?\n\"Answer: -g**2 + 77*g - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 1551?\nAnswer: -1545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -912 divided by 304\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 times 19136?\nAnswer: -88025.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) -22 (c) 2 (d) -2 (e) -251 (f) -1 (g) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {e: 8, j: 1, r: 2, n: 9}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/7 + 1538*b**3\/7 + 4600*b**2\/7 + 3064*b\/7 = 0. What is b?\nAnswer: -766, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**7)*m)\/(m*m**1))\/(((m\/m**(-8\/3))\/m*m)\/m**(-2\/5)))\/((m*m**1)**(-41)*(m**(1\/2)\/m)\/m**(-3)) assuming m is positive.\nAnswer: m**(2023\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5185.2 and 369580.94.\nAnswer: 374766.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaajaaaaaaa. What is prob of picking 3 a?\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(2) + -4 - (2*sqrt(24))\/sqrt(12).\nAnswer: -4 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-274)\/30 + (-91 + 101 - (-148)\/(-15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.071 in 1, -37\/5, 0.3, 5, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*g - 8, -10 - 2 = -3*y + 3*g. Let l be 6*3*4\/(-36). Sort y, 19, l.\nAnswer: l, y, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**3\/3 + 11*s**2\/2 + 11*s - 26. Determine h(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 4*a + 4. Suppose 7*h - 185 = a*h. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15533.69 decades to years.\nAnswer: 155336.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.8 + -0.8. Let i be (-8)\/(-12)*279\/930. Which is greater: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -359, -536, -713, -890?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x**2 + 8*x - 12. Let h(w) = 9*w**2 - 13*w + 19. Let z(t) = -5*h(t) - 8*n(t). Determine z(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2) + -2)**2*4 + 5 + sqrt(2) + (sqrt(450) - sqrt(18))\/sqrt(9).\nAnswer: -11*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*m + 394 - 821 + 402.\nAnswer: 223*m - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -3*t - 2 - 1\/2*t**2. Let m be d(-6). Solve -m - 2 = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**4\/12 + 5*n**3\/3 + 65*n**2\/2 - 3*n - 117. Determine r(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 1032576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 + 257*v**2 - 1482*v - 1082. Calculate r(-134).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -26402.989 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*l = 0, -4*p + 3*p - 6 = 5*l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2083, 2207, 2331, 2455?\nAnswer: 2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 372*i + 1862. Let n be t(-5). Suppose -1 = 3*o + 2. Suppose 2*b - 18 = 5*d - 2*b, 0 = d - 2*b + 6. Sort d, o, n, 1.\nAnswer: d, o, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 1:05 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**2 - 30*k**3 + 7*k**2 + 25*k**3 wrt k?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, 128, 278?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23230202232 (base 4) in base 7?\nAnswer: 35026602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Sort s, -4, 0.\nAnswer: -4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 217991*c**3*o + 38284*c**3 - 4*c**2 + 2*c*o - 2*c wrt o.\nAnswer: 217991*c**3 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffeusafaueuaosfoeu. What is prob of sequence uu?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = -5*g - 0*p, -4*p + 12 = -4*g. Factor 0 + 7 + g - 9*b**2 - 3*b**3 + 5.\nAnswer: -3*(b - 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**2 + 6*f. Let x(w) = -11*w**2 + 13*w. Let z(y) = -13*v(y) + 6*x(y). Let g(u) be the second derivative of 2*u**3\/3 + 7*u. Give g(z(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -6\/433639, 2\/9.\nAnswer: -6\/433639, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2647776056 + 3?\nAnswer: 2647776061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/11, 0.01, -1, -4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 11:26 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 e when three letters picked without replacement from esiiieeee.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31, 306, 1071, 2572, 5055, 8766, 13951, 20856?\n\"Answer: 41*r**3 - r**2 - 9*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d + 1. Let v(s) = 16*s - 2. Let x(m) = m. Let z(i) = i**2 + 1. Let w be z(0). Let l(b) = w*v(b) - 5*x(b). Calculate 8*c(p) + 5*l(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:01 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 - 4*m**2 + 22*m - 10. Let c be q(6). Let l = c - -1590. List the prime factors of l.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/25*(-40)\/(-24)*1\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*h + 130. Let d = h - 19. Suppose 8*a = d*a. Solve a = t - 5*r + 1, -4*t - 2*r = -6 - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from fbiqi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(182) - sqrt(182)*1)\/sqrt(7) + sqrt(26) + sqrt(234)*1)\/(sqrt(288) - (sqrt(288) - sqrt(288)*-1*-6) - sqrt(288) - 4*-2*sqrt(288)).\nAnswer: sqrt(13)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 7026 (c) -4 (d) -9 (e) -9.1 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -44. What is the biggest value in i, -89, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b61a + 3?\nAnswer: -b617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 245 - 245. Let i = -9 - -8.4. Let t = 2.58 - 3.58. What is the second biggest value in t, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40302550231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 621?\nAnswer: 6831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7052945004.\nAnswer: 2, 3, 7, 27987877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01766565 to 5 decimal places.\nAnswer: 0.01767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*b = 7*o - 40, 0 = -2*o + b + 25. Suppose -8*a = -39 + o. Solve -h + 2 = -a*j, -4*j + 0 - 5 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37668b1 - 1?\nAnswer: -37668b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 1. Let a(l) = 11*l**2 + 2. Give a(c) - t(c).\nAnswer: 12*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -110, -102, -94, -86?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z - 12. Let b(t) = 23*t - 36. Let a(d) = 4*b(d) - 11*f(d). List the prime factors of a(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3))**44\/(k**(-2\/3)\/k)**28 assuming k is positive.\nAnswer: k**(184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4050?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - -15 - (-13)\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 103 + 70)*(0 + 0 - k + k - 1 + 1 - k + k - k + 1 - 1 - k + (-3 - 2 + 4)*(4*k + k - 6*k) - 2*k + 0 + 0 + 0*k + 3*k + k).\nAnswer: 125*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 24 = 21*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4.705515ng?\nAnswer: 0.000000000004705515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6632 not equal to 166\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 155*m**2 - 191*m + 491. Does 72 divide z(-155)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -6) + (-57 + -28 + 14 - -5) - 12.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5))**(14\/3)\/(p**(1\/11)\/((p\/(p*p**(-1\/8)\/p)*p)\/p)))**(-44) assuming p is positive.\nAnswer: p**(1099\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -466 by -5.\nAnswer: 466\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 7:02 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 17 = -2*j - o, 0 = -3*j + 4*o - 23. Let n = 5 + j. Let q be ((-2)\/4)\/(1\/n). Solve 0 = -z + q*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.14847 weeks in milliseconds?\nAnswer: 26700994656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011179975074 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/171915 and 53\/7065.\nAnswer: 515745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 784*g. Let q(o) = 659 + 661 - 1320 - 2*o**2. Determine i(q(p)).\nAnswer: -1568*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -911145 less than 0.44?\nAnswer: 911145.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (-3 + -1*sqrt(500))) + 4*sqrt(500)*-2 + (-1*sqrt(500)*-1*-3)**2.\nAnswer: -60*sqrt(5) + 4503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, 1261, -7\/11, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157 (base 8) to base 14.\nAnswer: 7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/187 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 2*v. Suppose -3*o + k - 5 = 0, 4*o = k - 3*k + 10. Let w(l) = l. Let d be w(o). Solve d = -3*t - v*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r*r**(-2\/7))))**(2\/75))**(19\/4) assuming r is positive.\nAnswer: r**(38\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/110)\/(182\/(-21385)) - (-4)\/11.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*((-10)\/3)\/(-2). Suppose p*a + 4*z - 20 = 0, 4*a - z = 8 + 8. What is the lowest common multiple of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808*x - 293 - 6600 = 4419 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (5 - (-127)\/25)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + d + 19 - 6 = 0, -5*d + 23 = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*((5\/(-45))\/((-10)\/45))\/(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g**2 + 20*g - 10. Let i(w) = w**2 + w. Let b(r) = 10*i(r) - s(r). What is the remainder when b(7) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeyeyy. What is prob of picking 2 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l + l + (2*l - 4 + 4)*(0 + 0 + 2) + 2 - 2*l - 2 + 1 - 1 - l - 15*l - 8*l + 8*l)*(4*l**2 - 6 + 3 + 5).\nAnswer: -52*l**3 - 26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 9*b - 33. Let w be d(-12). Let i = -67 - w. What is the highest common divisor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41, 19, -23, -91, -191, -329, -511, -743?\n\"Answer: -o**3 - 4*o**2 - 3*o + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -19) + -35 - ((-3 - -2) + -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 8*p**2 + 12*p + 5. Let u be y(-6). Solve 0*i + 5 = -u*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -485267\/140660 + -1\/14066. Suppose 4*y + 154 = 2*y. Calculate the common denominator of f and y\/3 + (-2)\/(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 312 = 108. What is the highest common factor of l and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/292 and -19\/803?\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**6\/160 - 149*h**5\/80 + 369*h**4\/2 - 3240*h**3 - 487*h**2. Let b(o) = 0. What is o?\nAnswer: 5, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k + 72205 + 464903. Does 143 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.2, 2\/363?\nAnswer: 2\/363","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3))**(-3\/2)\/(f**(-2\/7)*f**(1\/3)) assuming f is positive.\nAnswer: f**(187\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17553722 + 13*t - 8*t - 17553722.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(-2*p - 3*p + 4*p) - p - p + 0*p - 3*p - 2*p + 3*p - 2*p - 2*p + 5*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -16 - (3 + -3 + 6 + -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -59073.28 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**3\/2 - 1348*k. Let z(r) = -4*r + 35*r**2 + 4*r. Determine z(w(m)).\nAnswer: 315*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 10:56 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 times 5?\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 10 + 7)*(4 + 5*o + 1 - 3) + 5*o - 4*o + 2*o as w*o + j and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12336 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**5 - q**3\/3 - 125*q**2\/2 - 2874*q + 3757. Differentiate v(n) with respect to n.\nAnswer: 20*n**3 - 2*n - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 2. Give m(24).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a5a8 (base 14) to base 8.\nAnswer: 771770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42037 and 633.\nAnswer: 26609421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 greater than 1753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2, 4*o - l - 45999 = -o. Round o to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50199*d**5 - 13*d**3 - 83963*d**2.\nAnswer: 3011940*d**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let x(y) = 3*y + 2. Let m(a) = -2 - 2 - a + 3. Give d*x(g) + 4*m(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - 3.2. Let y = 12.5 - 12. Which is the third smallest value? (a) -5 (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5302 + -0.15.\nAnswer: -0.6802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2411 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r*r**(-7))**(1\/36)*(r\/r**(4\/5)*r*r*r*(r*r**(-7)*r)\/r)\/((r**(-2\/5)\/r)\/r)**(-2\/193) assuming r is positive.\nAnswer: r**(-108751\/34740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5450, -9155, -12860?\nAnswer: -16565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2143 + 2179. Calculate the lowest common multiple of c and 1140.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15786 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(99) - (sqrt(99)*1 - sqrt(99))*-2))\/(sqrt(1296)*1 - (sqrt(225)*-1 - sqrt(9))).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.573 and -0.03.\nAnswer: 0.01719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 164 + 3*a - 170 + 335 + 4*a**2. Calculate n(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165193190.\nAnswer: 2, 5, 67, 246557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 29*v + 23. Let f be d(2). Let i = f + -57. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 h, and 1 y when three letters picked without replacement from zkhynhp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -o - 6, 0*r + 5*r = -5*o - 10. Let c(h) = -10*h - 83. Calculate the remainder when c(-9) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67809936 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - -29) + -1 + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 952358 is divided by 476171.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from {x: 1, i: 3, f: 5, d: 3, c: 1, v: 1}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4348, 4337, 4326, 4315, 4304?\n\"Answer: -11*g + 4359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 5*h**2 + 3*h - 3. Suppose 59*s + 207 = 36*s. Let l be (-2 - -7) + s + 1. Give c(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/(sqrt(405)*-2) - (sqrt(32)*4 + 2)) + 2)**2 + 2.\nAnswer: 83845\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*p**4 - 718*p - 3548 wrt p?\nAnswer: 12*p**3 - 718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/6 - 8945*l**2\/3 + 25916179*l\/2 + 3399532788.\nAnswer: (l - 9069)**2*(l + 248)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 4 + 4*g)*(-10 + 14 + 12) as d*g + p and give d.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-2\/3)*x))**26\/((x**0\/x*x)\/x*x**5) assuming x is positive.\nAnswer: x**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 38*b**2 + 35*b + 64. Calculate c(37).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -27*y**2 - 97*y - 456. Calculate u(-5).\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2 - 2 - c. Let y(f) = -f + 7. Let r(k) = -k + 5. Suppose 21 = 5*j - 4. Let v(a) = j*y(a) - 7*r(a). Determine v(i(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = a + 60. Let i = a + -3. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 + 76. Let p = 38 - s. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 728 = 21*g - 19*g + 2*p, 0 = 3*g - 5*p - 1124. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/19)\/(c\/(c\/(c\/c**(1\/5)))))**(28\/5))**(1\/4) assuming c is positive.\nAnswer: c**(-602\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -281*b*p*q**2 - 15*b*p*q + 3*b*q**2 - 42*b*q wrt q.\nAnswer: -562*b*p + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -0*c, -3*o + 5*c = 11. Suppose 0 = 5*l + 22 + o, u - 170 = -4*l. Suppose 3*n - 4*f = 85, 3*n - 8*n + u = 3*f. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 4. Let a(w) = w**3 + w**2 + w - 1. Let r = -40701 + 40705. Let q(y) = -6*y**3 - 3*y**2 - 4*y. What is k*q(u) + r*a(u)?\nAnswer: -2*u**3 + u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*j, -8*p + 4*j - 2 = -5*p. Find the common denominator of p\/(-13) + (-4968)\/(-7280) and 77\/45.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -441 + -180. Let k = -611 - s. Put -2, 0.01, k, 1 in ascending order.\nAnswer: -2, 0.01, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*j - 4*j + 86*j - 2112 = 191*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 4*u**2 + 5*u - 3. Let j be m(4). Let n = j - 11. Suppose -3*q + n = -3*c, 0 = 2*q - 3*q - c + 10. Solve 4*p = -18 + q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 3. Let t be z(4). Let g be (-4)\/10*(t + -16). Let o(h) = -11*h - 2. Let d be o(-2). Solve 0 = 2*u - g*u - d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 5, -58, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 1, -9, 12.5, -0.2, -35?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*y - 71*y - 7224. List the prime factors of (4 + y\/18)*-6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5527 - -5233. Is -301 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h - 84 = -36*h. Let z be ((-14)\/8 + 0)*30\/h. Factor -p + 4*p**2 + z*p**4 + 0 - 17\/4*p**3.\nAnswer: p*(p - 2)*(p - 1)*(5*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13795 - 8907. What are the prime factors of w?\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**10)\/c**(3\/5)*c*c**(-3)*c*c*c*(c*c**(-1\/19))\/c*c assuming c is positive.\nAnswer: c**(-727\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 24. Let d = -2.1 + 2. What is the second biggest value in 2, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150334.482 rounded to the nearest one hundred?\nAnswer: -150300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 36847 - 36847. Let q(z) = 1 - 1 - 22*z. What is s(q(u))?\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4272 - -10142. Round x to the nearest 100.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259468 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20185*d**2*j**2 - 5*d**2 + 491763*j**2 wrt d.\nAnswer: -40370*d*j**2 - 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4\/((-36)\/(-675))*594\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34737625 (base 8) to base 15.\nAnswer: 9ec925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 599086 by 7.\nAnswer: 599086\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4\/7 + 1956*i**3\/7 - 85016*i**2\/7 + 678960*i\/7 + 244800 = 0.\nAnswer: -1020, -2, 14, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*n - 8 = 0, 3*s + 5*n = 7*n + 6. Solve -s*v - 11 = 9*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 7*x - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11871418*j**2 + 35104*j - 74 wrt j.\nAnswer: 23742836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 33*d**2 - 22*d + 37. Calculate m(17).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -413 + 198. Let u = f + 508. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16680186 rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*d*r**4 + 2*d*r**3 - 10*d*r + 3*r**4 + 4*r wrt r?\nAnswer: 180*d*r**2 + 12*d*r + 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, b: 3, s: 3, c: 2, y: 7, h: 1}. What is prob of sequence pscc?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddhshhzd. Give prob of sequence hsz.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 850.08 - 850. What is the closest to -0.4 in n, -3, 3\/28?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/112 - 2)\/((-10)\/(-14))*-5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 382458888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**3 + 5988*q**2 + 2988012*q + 497005996 = 0. Calculate q.\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2345 and 12880.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-6))\/(2\/((-96)\/9)). Let b be (-1)\/2*a\/(-10)*5. Let s = -10 + 7. Which is smaller: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:03 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (45 + -2)*-31*12003. Let u be 4\/(-16) + c\/4. Round u to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110082085.\nAnswer: 5, 31, 710207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159359 is divided by 157853?\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -17. Let o(y) = -y**2 - y + 1. Let h be o(-1). Is (-36 + u)\/((-1)\/h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -10, -30, -60, -100, -150, -210?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90*j + 45*j + 31*j)*(21*j - 9*j**2 - 21*j - j**2 + 4*j - 4*j + (2*j - 5*j + 2*j)*(-5*j + 0*j + 3*j) + j - j - 2*j**2).\nAnswer: 140*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010110001011011 + -10011?\nAnswer: -10010110001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 230 and 30.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 306.7 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2\/9, 1402, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-45)*(6\/(-52))\/(1158\/(-17563))?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.13, 0.87, 4, 1\/8, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 4*x**2 + x - 1. Let o be a(3). Solve -4*m - o = 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*k - 4*k - 4*k)*(-8*k - 3*k - 9*k) + 0*k**2 - k**2 - k**2.\nAnswer: -42*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.8 and -0.11.\nAnswer: -0.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k*w**4 + 18*k*w**2 - 47*k*w - 54*w**4 + 28*w wrt w.\nAnswer: -24*k*w**2 + 36*k - 648*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 34 (b) -4 (c) 34449\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 + 0*s**2 + s**2)*(5*s - 2*s + 1 + 2*s) as h*s**2 + o*s**3 + v + j*s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -23. Suppose -2*d + 6*d - 156 = x. Suppose 0 = -4*o - 17 + 69. What is the highest common factor of d and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 438, 476, 546, 654, 806?\n\"Answer: a**3 + 10*a**2 + a + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from ummmmmumuummmumm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -136.51576 from -161.\nAnswer: -24.48424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzlezwlzlwzz. Give prob of sequence ll.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 103, 116, 137, 166?\n\"Answer: 4*l**2 + l + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2. Let b(w) = -45*w - 147. Let n(p) = 23*p + 73. Let x(z) = -4*b(z) - 7*n(z). Let u(l) = -7. Let v(o) = -44*u(o) - 4*x(o). Calculate j(v(c)).\nAnswer: 23104*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3297)\/(-49) - (-2)\/(-7). Suppose 4*s = 4*c - 72, 4*c - j - 29 = -2*s. What is the remainder when c is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 + 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 180\/4 + 2 + -9 + 4. Suppose -165030 = -i*w + 12*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 53.79. Let d = -269012 - -269011.7900065. Let y = n + d. What is y rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32800 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-3 + -1)\/(-4)) + 0. Let f be 2\/4 - 3\/(7 + t). Solve f*c - c + 5 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/13 and -43\/70265.\nAnswer: 70265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -c + 4*f - 16, 4*f = -c + 1. Suppose 49 + 1 = c*q. Let s = q - 5. Calculate the remainder when s is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11201214 (base 5) in base 2?\nAnswer: 11000011101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 821 - (0 - 2). Let b = p + 2488\/3. Let z = -52687\/10 + 5275. What is the common denominator of b and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -507.85 + 40.65. What is k rounded to the nearest ten?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c\/(c*c**(-27)))))\/c)\/c)**(2\/125)\/(c**(-5\/4)*c*(((c\/(c*(c*c**(-2\/31))\/c)*c)\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(1603\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k, -49 + 33 = j + 3*k - 28 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -584 in 4, -1\/4, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 5:35 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y - 15. Let x = y - -4. Let s be x\/(10\/(-4) - 4). Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 126963 + 102329 = s, 3*s + 5*x = 687864. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18\/1*67\/(-15678)*-65\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 87463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c - 123 = -2*v, -5*c + 187 = 3*v. Is v a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d**2 + 2*d + 11. Let x be 25\/(-3) + (-3)\/(-9). Let f be 4\/x*-6*1. Suppose n = -f*n - 16. Let a(y) = -5*y**2 - y - 6. Determine n*w(h) - 7*a(h).\nAnswer: -h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*n = -91*n - 5*z - 15, -5*n - 4*z = 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32284 + -1 + -15 + 26?\nAnswer: 2, 67, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 2*b + 13. Let s be k(-5). Let u be 22\/44 + s\/4. Factor -3\/2*x**3 - 3\/2*x**2 + 3\/2*x**4 + u + 3\/2*x.\nAnswer: 3*x*(x - 1)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1)\/(0 + -1). Let t be -3 + 9 + (n - 3). Suppose 8 = 4*l - t. Solve -3*p - l = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4639\/20 or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**5 - 54*o**4 - 648*o**3 = 0.\nAnswer: -9, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*((l\/(l*l\/(l**(1\/3)*l))*l)\/l)\/l*l))\/l))**(3\/8)*l\/(l\/(l*l\/(l\/(l*l**(-3\/4)))*l)*l)*l**(-2\/7)\/l assuming l is positive.\nAnswer: l**(47\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -244673 divided by 143\nAnswer: -1711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 593211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*24442.269.\nAnswer: -12221.1345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - ((-6 - -13) + -5 + (190\/(-10) - -9)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.24, -3\/5, -948\/7, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63438, 0, 2, 3, -2.\nAnswer: -2, 0, 2, 3, 63438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/9)\/a*a)\/a**(-1\/19)*(a*a\/(a**(-2)\/a*a))**(-2\/27))**47 assuming a is positive.\nAnswer: a**(-8554\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 10. Let r be z(14). Let p be 1296\/r + 8\/2. Let y = -155 - p. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*z = -100, h - 5*z + 2 = 17. Let i be 0\/(-3) + (-270)\/((-30)\/6). Suppose -26 = -16*l + i. Solve 0 = 4*n + n - l*m - h, m + 28 = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -61*d**3 + 6*d**2 - 6. Let q(g) = 7504*g**3 - 737*g**2 + 737. What is 737*p(r) + 6*q(r)?\nAnswer: 67*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 + d**4 - 4*d**4 + 3*d**4 + 3*d**2 - 3*d**2 + (3 + 2*d**2 - 3)*(-2*d**2 - 2*d**2 + 2*d**2) - 3*d**4 + 2*d**4 + 3*d**4.\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(5*o**2 + 0*o**2 - o**2) + (3*o - 2*o - 2*o)*(0*o - 5*o + 4*o) - 112*o + 112*o - 29*o**2 - o**2 + o**2 + 2*o**2.\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d - 21. Suppose -4*g + 20 = 0, 0*g + 31 = 2*k + 5*g. Suppose -11 = -k*f + b - 0*b, -4*b + 4 = 0. What is the remainder when f is divided by h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 92819836, 185639669, 278459502, 371279335, 464099168, 556919001?\n\"Answer: 92819833*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 196 = 3*h. Suppose 5*y + h = 539. Let j = y - 53. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (275\/100)\/(-2*(-5)\/(-40)). Let q(v) = 15*v + 17. Let o(n) = -5*n - 6. Give c*o(m) - 4*q(m).\nAnswer: -5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10789 is divided by 973.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7252627 tonnes in kilograms?\nAnswer: 725.2627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 14. Let x be u(-8). Let s = x - -10. What is the units digit of -78*(s\/6 + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/15)*d)\/d)\/(d\/d**(-8)))**(-47)*(d**2\/d)**10\/(d*d**(-1\/3))**(-5\/3) assuming d is positive.\nAnswer: d**(19253\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*x, -2*y = -7*x + 11*x - 28634. Which is bigger: y or 14304?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64\/176 - 344694\/(-66).\nAnswer: 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 51*y - 264. Determine a(45).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 13. Let m(l) = 2*l + 27. Let g = -11 + 6. Let s(f) = g*d(f) + 2*m(f). Calculate s(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2272669 = -245*r + 196*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 886 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -74*r**2 - 9*r - 7. Let a be z(-3). Let c = 1484 + a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6875 and 2475?\nAnswer: 61875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 108 (base 9) to base 6\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**4\/24 - 7*x**3\/6 - 230*x**2 + x - 1. Let l(u) = -6*u**2 + u - 1. Let b be l(1). Give d(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 409.9995418 and -2.\nAnswer: 407.9995418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {e: 1, p: 1, j: 1, s: 4, n: 4, x: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l - 1. What is the units digit of g(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a gram in milligrams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -7*d**4\/12 + 2*d. Suppose c + 3 = 5. Let x(b) = -c*b**2 + 73*b - 73*b. Give x(h(l)).\nAnswer: -98*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212 (base 7) to base 14.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2419*y - 52948 = -711*y for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by (87 - 1) + 10\/((-8)\/4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3927, 3922, 3915, 3906, 3895?\nAnswer: 3882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19796370 by 22.\nAnswer: -899835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millennium in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**3 + 2*v**2 + 2*v - 2. Let d be 36\/14 + 100\/(-175). Let w(m) = -9*m**3 + 5*m**2 + 5*m - 5. Suppose -5*c + 2 = 27. Determine c*l(h) + d*w(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7571 or -113582\/15?\nAnswer: -7571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5ec9e - -1?\nAnswer: 5eca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -1. What is the units digit of ((-6)\/9)\/(b\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19466 - -285?\nAnswer: -19181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.862 or -17.80465?\nAnswer: -17.80465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*x - 2*t - 5, -t = 2*x - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3471168991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1610691 is divided by 402606.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c - 363 - 319 = 4*c for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5412041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45*z**4 + 47*z**3 - z**2 + 44*z - 177674 wrt z?\nAnswer: 180*z**3 + 141*z**2 - 2*z + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)*v*v**(-1\/6)\/v*v*v)\/(((v*(v\/(((v**(-2\/5)\/v)\/v*v)\/v))\/v*v)\/v)\/v*v)**(-2\/85) assuming v is positive.\nAnswer: v**(-613\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38.6 - 39. Let k be (-3 + 0)*(6 + 124\/(-21)). Put o, k, -0.5, 0.2 in decreasing order.\nAnswer: 0.2, k, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (0 + -1)) + -2. Suppose -253*p = 548 + 717. Put p, 3, -2, d in descending order.\nAnswer: 3, d, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 13*g**2 - 2*g - 2. Let q = 39 - 37. Suppose -5*z + 4 = q*x - 2, -5*z = x - 8. What is the tens digit of d(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1815950.\nAnswer: 2, 5, 36319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 + 4 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j + 4 = 0. Let d = 0.076 - 116.076. Let o = d + 111. What is the nearest to j in 2, o, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/51 and -15\/187?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -129*95\/(-134805) + (-4 - (-807)\/77)\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -143?\nAnswer: -28.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.2, -3.3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 12:17 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 7*v - 8. Let y be h(8). Suppose y*u = -i + 3*u + 14, -4*u = -4*i + 32. Which is the second smallest value? (a) 2 (b) i (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + 1*(sqrt(176) + -1))*4*4)**2.\nAnswer: -153600*sqrt(11) + 1184000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3, -2\/9, 178?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2058973 or -2058976?\nAnswer: -2058976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 9:28 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*l + 463 + 732, 0 = q - 3*l - 255. Let y be q + -2 + 5 - -2. Calculate the greatest common factor of 31 and y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*n + 135, -z - 47 - 7 = 2*n. Let k = n + 45. Let t = k + 30. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millennium in centuries?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (-85 - (-23 - 130)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 239 - 238 = -3*q + 2*q, 0 = 4*j - 8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (-57)\/(-15))*(-3 + 2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.3 take away -4524.562503?\nAnswer: 4505.262503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, s: 1, t: 2, v: 5, j: 1}. Give prob of sequence tstj.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 + -56. Suppose -3*j = -l + h, -120 = -5*l + 5*j - 0*j. What is the smallest common multiple of 39 and l?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 128, 140, 166, 212, 284?\n\"Answer: c**3 + c**2 + 2*c + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 117*v - 324.\nAnswer: -3*(v + 3)*(v + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuhcc. What is prob of sequence hu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w + 109987 - 109887 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2079.9725589 - -5\nAnswer: 2084.9725589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -455, -899, -1343, -1787, -2231?\n\"Answer: -444*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 25*x**2 + 24*x - 59. Let m be n(25). Suppose -4*v + m - 533 = 0. Calculate the highest common divisor of 10 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20189, 0.05, 3\/47 in ascending order.\nAnswer: -20189, 0.05, 3\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30147 is divided by 6029.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 4*w**2 + 3*w - 1. Let t be y(-3). Let c(v) = v**2 + 2*v + 1. Let g be c(t). Suppose 6*l - 9 = -3*l. Sort l, g, 5 in ascending order.\nAnswer: g, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. Let g(u) = 82*u + 1179. Let r be g(-14). Solve -5 = v + 2*i + 3*i, t*i = 5*v - r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1241 and 1649.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3528311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33216 is divided by 630?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22937 is divided by 5597?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.125 - 12?\nAnswer: -24.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/160 and 97\/1080.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 - m**5 - 4*m**2 + (5 - 5 + 2*m**3)*(-2*m**2 + 1 - 1) + 2 + m**5 - 2 - 1 + 2*m**5 + 1 + m**5 + m**4 - m**4 - 548*m**5 - 231*m**5 + 1453*m**5.\nAnswer: 673*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/5))\/b*b**4*(b\/(b*(b\/b**(-1\/2))\/b*b))**(7\/5) assuming b is positive.\nAnswer: b**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7483 and 2079.\nAnswer: 9562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-19368 - 298*f + 19368) + (0 + 2*f + 0)*(-1 - 1 + 1).\nAnswer: 594*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5717 is divided by 308.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -53 - (-13 + -9 + 19 - 2)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 8 (c) -2\/37 (d) -34 (e) 0 (f) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -9 + -21 + -2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(45)*-3*1*-4.\nAnswer: 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -5, 506, -6, -4, 3.\nAnswer: -6, -5, -4, 3, 19, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 531 in descending order.\nAnswer: 531, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -36. Is 3\/(-1 + x) + 789 + 5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -2 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 623*y**2. Let r(l) = 133644414 + 3*l - 133644414. Give b(r(g)).\nAnswer: 5607*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 2) to base 10\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -468 and -1298?\nAnswer: 607464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + 12 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -0.01400354800798.\nAnswer: -0.11400354800798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 10*a = 21. Let i = a - -6. Factor -j + 1\/3 + j**2 - 1\/3*j**i.\nAnswer: -(j - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**6\/72 - o**3\/3 - 5*o. Let l(m) be the second derivative of g(m). Let v(t) = t**2. What is v(l(c))?\nAnswer: 25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -15d6b2b?\nAnswer: -15d6b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**4\/7 - 492*w**3\/7 - 1215*w**2 - 24786*w\/7 + 87480\/7 = 0?\nAnswer: -9, 2, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 8 - 10 = 0. Factor -12\/5*d**3 - 63\/5*d + 27\/5 + 48\/5*d**m.\nAnswer: -3*(d - 1)*(2*d - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**3 + c**2 - 5. Let t(d) = 18 - 5 - 2 - 10. Let u = 5840 - 5845. What is u*t(y) - i(y)?\nAnswer: 5*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.039, 68, 3\/7, -1 in decreasing order.\nAnswer: 68, 3\/7, 2\/11, -0.039, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11)*w*w**4)**(1\/7) assuming w is positive.\nAnswer: w**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -d + 15, -25 = 2*d + d - 5*m. Is -9\/13 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 51980115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -22 - 0 - (-1 - -11)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, l: 6}. Give prob of picking 1 s and 2 l.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12*h - 9*h = -4955, -2*x + h + 4945 = 0. Is x a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Let j(u) = 0*u + p*u + u**2. Let t(r) be the first derivative of -r**2 - 3. Calculate j(t(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4890195997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7*s = -4*t + 12, -4*s - t = -15. Suppose 0*v - 4 = 2*z + 2*v, 13 = s*z - 3*v. Is z less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/90322568 and 13\/10.\nAnswer: 451612840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(44)\/sqrt(4)) - (sqrt(5) - (1 + sqrt(5)*-1)).\nAnswer: -sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 17*x + 6. Calculate the remainder when 34 is divided by k(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (20 + -42 - -19) - (1 + 4).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnxnnlxsxxnnlnzl. Give prob of sequence slll.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*p**2 + 271*p**2 + 103*p**2.\nAnswer: 566*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -171917 and 117115?\nAnswer: 289032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73812, -73782, -73750, -73716, -73680, -73642, -73602?\n\"Answer: t**2 + 27*t - 73840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 784 and 2352.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3217*s + 540 = -3247*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from alkmo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + (sqrt(68)*1 - sqrt(68)))**2*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1.66, 582, 0.5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -5*m**4\/12 - 2*m - 6684. Let t(y) = 4*y - 3*y - 3*y. Give p(t(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 242\/7 - 35. What is the closest to -1\/2 in -0.3, 13, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - s - 2*s**3 + 3*s**3 - s**3 - s**3 + (s + 3*s - 6*s)*(s**2 + 0*s**2 + 0*s**2) + 23*s**3 + 3*s**3 - 8*s**3.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from refimfi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 5*f + 4*f)*(14*f**3 - 14*f**3 - 5*f**4) + (24*f**4 + 19*f**4 - 41*f**4 - 51*f)*(-2*f + 4*f + f).\nAnswer: 11*f**5 - 153*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-330))\/((-1)\/4). Let z = 0.06 + 0.24. Which is the closest to -2\/5? (a) z (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 23*f - f + 1 - 14*f. Let s be 9\/(2*(-1)\/2). Let o = s - -10. Give c(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2.2. Let b = v + -0.2. Let r be 72\/21 - (-9)\/(-21). What is the biggest value in 5, r, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**2 - 13*t + 7. Let x(v) = 2*v**2 + 6*v - 3. Let j(u) = 3*g(u) + 7*x(u). What is j(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2*(-2)\/(-1). Let j(i) = -3 + 1 - 2*i - 1 + 0*i. Is j(x) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.214*43.\nAnswer: -9.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {y: 1, x: 1, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 1) + (21 - 14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.2 and -4.02985.\nAnswer: 12.89552","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from ccnnqqnqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4198.007 * 5\nAnswer: -20990.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/169881 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(272) + (sqrt(272) + 3 + sqrt(272))**2) - sqrt(153)\/(2*sqrt(9)*6).\nAnswer: -1097 - 625*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 920578 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3311, -6551, -9787, -13019, -16247, -19471, -22691?\n\"Answer: 2*f**2 - 3246*f - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -2 + (-332 - -300).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -965573*f**5 + 280330*f wrt f?\nAnswer: -19311460*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27237 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 23 - 3, 5*r = 4*k + 9. Solve -k*x + 4 = -0*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**4 + 302*c - 1451.\nAnswer: 8*c**3 + 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nneeeeeee. Give prob of picking 3 e.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.605, -1, 2\/3 in increasing order.\nAnswer: -1, -0.605, -0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.694 + -71264.\nAnswer: -71264.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3420443208 to the nearest integer?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/136361862 and 95\/44604.\nAnswer: 818171172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 5*f - 2. Suppose -3*s - 6 = 2*a, -3*s - 21 = -0*a - 3*a. Let j be x(a). Suppose -i + 4 = -3*h + 3, j*i + 2*h = 18. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -12 (c) 2\/59 (d) -66.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10162 - -10158. Let z(r) = 4*r - 3. Determine z(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*h + 9, 5*h + 0 - 11 = -2*d. Suppose 3*u = -2*q + 14, -h = -u + q + 2. Let j be (0 - (-1 - 0))*4. Solve -u*o + 0 = -j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j + 9. Suppose j*v = 7 + 26. Suppose 0 = -4*a - 5*z - 17, -3*z - v = -3*a + 10. Solve -2*r + 0*r = a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -28*u - 1. Suppose 19 = -2*p - 4*i + 7, -5*i = -3*p - 40. Let w be x(p). What is the greatest common divisor of 31 and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*v - 14*v - 17*v + 2*v + 2 - 2 - 5 - 2*v + 5 + (2 + 0 - 4)*(-2*v - 2*v + 5*v) - 11*v + 3*v - 6*v as f*v + p and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 9.9. Which is the closest to 2? (a) 0.4 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89112 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1242\/5*(-275)\/(-165)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 574.1628 years?\nAnswer: 5.741628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppb when three letters picked without replacement from bppbbbbpppppppbb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2126 and 5\/236129.\nAnswer: 502010254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9123853?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**3 + 0 + 28*t + 1\/2*t**2. What is the units digit of u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i = 5*i. Solve 3 = -3*a - i*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(15\/(-10) - -3). Suppose -i*q - 3*m = 294, 2*q + m = -0*q - 148. What is q rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 296*d - 194*d + 343*d + 90*d as i*d + y and give i.\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -56 (b) 1\/16 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -16, -1361, 14 in decreasing order.\nAnswer: 14, 0.2, -16, -1361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 16*a**2 - 13*a - 34. Is 2 a factor of s(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*d - 31*d + 252. Which is smaller: d or -83?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 - -224321?\nAnswer: 224234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/306 and 39\/(-78) - (-375)\/(-36)?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 19, o: 1}. Give prob of sequence bo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11, 49, 147, 335, 643?\n\"Answer: 5*h**3 + 3*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63077 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 59. What is the nearest to -0.2 in 5, x, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2250226 is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 + -95. What is the common denominator of (320\/y)\/8 - 162\/(-35) and 17\/8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2670.38 and 12?\nAnswer: 2658.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7845496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*o = 9, 4 = -3*n - o + 1. Let c(l) be the third derivative of 0 - 1\/3*l**3 + 1\/8*l**4 + n*l - 5*l**2. What is the first derivative of c(j) wrt j?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -34*v**2 - 55*v - 2719. Let o(r) = 6*r**2 + 10*r + 544. Calculate -11*o(z) - 2*s(z).\nAnswer: 2*z**2 - 546","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 6. Let n(p) = 1. Let i = 6 - 2. Suppose -2*z = 2*z + i. Determine z*h(c) + 4*n(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 306660*j + 3987256.\nAnswer: -4*(j - 76678)*(j + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5250 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkgdkgkrkrgrkgkkkrdk. What is prob of picking 1 k and 1 g?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 266493102 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 327151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1063.000001034 - 1063. What is j rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 498.8662 millilitres?\nAnswer: 0.4988662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -30. Let p = h - 13. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by -196.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170.682 + 123.6. Let y = 47 + t. What is y rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 4eb503?\nAnswer: -4eb503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t + 3*w - 204, -4*t - 2*w = -208. Let i = t + -36. Calculate the highest common divisor of 72 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 48*l - 569. Let d(w) = -w**3 - 3*w**2 + 3*w + 4. What is the lowest common multiple of j(-23) and d(-5)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (8\/12)\/((-4)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -2591375?\nAnswer: -777412.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-18)\/4*(48\/(-54))\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.9 take away -20547755.54562?\nAnswer: 20547775.44562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3960)\/99*((-21)\/(-6))\/7.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 3. What is h(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 2*v - 2. Let d(x) = 9*x**3 - 21*x + 21. Let z(l) = l**2 + 12*l - 28. Let y be z(-15). Suppose -12*q = y + 7. Determine q*d(f) - 21*h(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2820.093 decades to millennia.\nAnswer: 28.20093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 337600 rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 1405*i + 462722. Calculate u(527).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103883?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/191 + -581\/382. Let z = 3 + -4. Which is greater: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004940750795 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 16) + (-382 - -317)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 87*r + 11. Let o(n) = 17*n. Determine o(g(q)).\nAnswer: 1479*q + 187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 + 5*v**2 + 663*v + 2. Determine h(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Solve 1124*k - 3637 = -27241 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.7606817 to two dps.\nAnswer: -10.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2331048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-484968)\/51436*(-112)\/(-22).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-6)\/9) + -2. Let s be -3 + (-20)\/(-3 + j). Solve 0 = 3*a - 4*y + 5*y - 11, -5*a = -4*y - s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 + 12160\/72 - 9 - 1\/(-9) is divided by 89.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 7*k**2 + 2*k - 8. Calculate the common denominator of (4160\/(-96))\/((1 + -2)*2) and j(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*m + 3. Solve 0 = 2*n, -5*n + 9 + m = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5 - 24*p**4 - 344*p**3 + 1536*p**2 - 1964*p + 792 = 0. What is p?\nAnswer: -9, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 2 + 9 = 0. Let g = 0.026 - 5.026. Which is the nearest to o? (a) g (b) -26 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 9*a + 15. Let c(i) = i**2 + 8*i - 14. Let s(q) = -3*c(q) - 2*w(q). Let j be s(7). Solve -3*u - 22 = -u + 4*b, 4*u = -3*b - j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 15, z: 5}. What is prob of picking 1 z and 2 f?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2545 + -2?\nAnswer: -2551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Suppose -3*z = -o*z + 19200. Round z to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1312433312 (base 5) to base 13.\nAnswer: 899c10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-518)\/(-5) - (-6)\/15. Suppose 26 + n = 5*x. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11146, 44701, 100630, 178939, 279634, 402721, 548206?\n\"Answer: k**3 + 11181*k**2 + 5*k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4 + 60*s**3 = 0. Calculate s.\nAnswer: 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -82 in -2\/11, 3\/2, 5, -8, 5\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 - 5 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 704707\/28 + -25172. Find the common denominator of x and 39\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2, -30, 5, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7353*k - 794. What is the tens digit of w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Let d(n) = -2*n**2 - 10873*n - 373. What is s(d(o))?\nAnswer: 2*o**2 + 10873*o + 373","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 273608*m**2*r**2 - 11*m**2*r - 134*m**2 - 35*m*r**3 + 8*m + 56*r wrt r?\nAnswer: 547216*m**2 - 210*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-246)\/(-3)*(418\/(-1881))\/(4\/9)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m - 8 + 26. Suppose 0 = m*d - 0*d + 2*p + 34, -d - 5*p - 13 = 0. Which is smaller: -1\/6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1384, 2774, 4164, 5554, 6944?\nAnswer: 8334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1513661 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/1808 and 37\/2260.\nAnswer: 9040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -379, -190, -1, 188, 377, 566?\n\"Answer: 189*f - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*y**2 + 339 - 339 to the form u*y**2 + c + g*y and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 5?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*g**2 + 86*g**2 - 275*g**2 + 58*g**2.\nAnswer: -38*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**4 - 8*b**2 + b - 2. Let r(w) = -2*w**5 - 5*w**4 - 10*w**3 + 20*w**2 - 3*w + 6. Let g(x) = -6*i(x) - 2*r(x). Find c such that g(c) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 8 + l - 8*l + 3*l + l. Let p(q) = -11*q. Determine b(p(w)).\nAnswer: 22*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31901\/13153 + -6\/1879. Let z = 3 + -4. Which is smaller: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1956 - 75. Is q a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5 - 3. Let s be 3\/18 + r\/(-6). Which is the second biggest value? (a) 4 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107\/(-4) + ((-3860)\/80 - -47)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 9*o**2 - o - 5. Let y = -23 + 14. Let g be j(y). Which is the second biggest value? (a) -5 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2 - 2. Factor 11*i**4 - 21*i**q + 20*i - 20*i**2 + 0*i**2 + 15*i**4 - 5*i**3.\nAnswer: 5*i*(i - 2)*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16428*h - 95*h**2 + 16427*h + 85*h**6 + 80*h**6 wrt h?\nAnswer: 19800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 13*t**2 - 124*t + 11. Let x be m(17). Suppose 6*l - 3*l = -3*w + 2460, -2*l = -2*w - x. What are the prime factors of l?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004822804 to 7 decimal places.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -13*d + 34, 0 = 3*d - 155*g + 151*g - 29 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -656*b + 1308*b - 10*b**3 - 654*b - 2 - 361*b**4 - b**2 + 12*b**3 to j*b + s + a*b**4 + r*b**3 + m*b**2 and give a.\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/711 and -91\/8.\nAnswer: 5688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - z + 1. Let h be v(-1). Let j = 3 + h. Let f be ((-288)\/(-216))\/(-2 + 80\/12). Which is bigger: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -7) + 2 - (1 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 911479574 a multiple of 3499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/810 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 5:53 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 19*f + 59. What is i(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 454*n - 85*n + 162*n to the form k*n + u and give k.\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083741019 to the power of 1\/2, to the nearest integer?\nAnswer: 32920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 1. Let a be l(-1). Let r = 3 - a. What is the highest common factor of r and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16702 + -333?\nAnswer: -17235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 16. Let w = -87 + 188. Suppose 0 = 2*a - w - 33. Calculate the remainder when a is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**6\/1440 + i**4\/96 + i**3\/3 - 3*i**2. Let y(v) be the first derivative of g(v). Let y(h) = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/(5\/50). Suppose f*u = 4*y - 11535, 0 = -3*y + 2*y + 2*u + 2883. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -690*u**2. Let m(x) = 316644*x. Give m(w(t)).\nAnswer: -218484360*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*h**4 + 2*h**2 + 2*h**3 + 1 + 0*h**3 + 0*h**2 - 48*h**4 - 11*h to the form x*h**4 + k*h + u*h**3 + q + f*h**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*-176.9807\nAnswer: -194.67877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21916033 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 151307967 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 279 or 278?\nAnswer: 279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4243 (base 8) in base 6?\nAnswer: -14123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 4. Let j = 4 - 7. Let x be s(j). Suppose -5*k - 26 = -x*k - 3*d, -5*d + 39 = 3*k. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttututtutuuut. Give prob of sequence tt.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.155827 + -13.245016. Let j = z + 31.4. What is j rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1528 is divided by 360?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r**3 - 2*r + 1. Let d be k(1). Let a = -38 + 57. Solve -5*x + d = -a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffb when three letters picked without replacement from wwwkswqbbfbbbfsw.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.9 + -11.264. Let t = -0.833 - -0.897. Let k = g + t. What is the closest to 3 in k, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3*2\/(-15))\/(2\/(-5)). Let r be f*(1 + (-3 - (-2 - 0))). Solve r*y = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 104*z**2 - 141244*z - 408300.\nAnswer: 4*(z - 1361)*(26*z + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*t - 3*t**2 - 17*t)*(2*t - 4*t + t) in the form d*t + w + u*t**3 + s*t**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i + 54. Calculate w(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.038 + 0.038. Let y = 1.26 - 1.3. Which is the closest to 1? (a) y (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewwmfwwwmwwfdtwttf. Give prob of sequence fefd.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 4*i**2 + 6*i + 5. Suppose 4 = -5*k + 29. What is the smallest common multiple of j(k) and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4 = 2*i. Let x be (4 - 7)\/((-6)\/i). Let a be ((-7)\/4)\/(x\/(-8)). Solve a*m + 4 = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12491720 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -17*y**2 + 1. Let v(q) = -8*q**2 + 1. Calculate 3*p(z) - 5*v(z).\nAnswer: -11*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*a**2 + 90 + 88 - 2*a - 266 + 88 as g + u*a**2 + x*a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70*p**3\/11 + 71*p**2\/11 + p\/11.\nAnswer: p*(p + 1)*(70*p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*s**2 + 425*s + 74*s**2 + 22*s**3 - 146*s**2 - 425*s.\nAnswer: 22*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3957184499 to the power of 1\/2, to the nearest integer?\nAnswer: 62906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 712?\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 73536327 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 74 + 3?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(-2)\/c*c)*c*c**(1\/5))\/(c*c**0)**(-1\/8))**30 assuming c is positive.\nAnswer: c**(639\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 37093645.019?\nAnswer: 37093645.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4744 = u, 1784 = 3*t - u - 1056. Calculate the highest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uslu when four letters picked without replacement from qquuulusdqq?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7000 + -6999.8. Put -2\/9, 2\/3, z, 392 in increasing order.\nAnswer: -2\/9, z, 2\/3, 392","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least 87.65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 + 904*y**2\/5 - 3628*y\/5 + 3632\/5.\nAnswer: (y - 2)**2*(y + 908)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, r: 3, s: 5, f: 1}. Give prob of sequence srs.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -31123320 (base 4) in base 14?\nAnswer: -160ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*w - 135 + 135 + (-2 - 2 + 3)*(-2*w + 6*w - 2*w) + 0*w + 0*w + w in the form o + v*w and give v.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + h - 711 - h**2 - h**3 + 43*h**4 + 712 to w*h + g*h**3 + k*h**2 + v*h**4 + c and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-175) + 135\/(-651)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 5*k**2 - 5. Let p(o) be the first derivative of o**3\/3 + o - 8. Let m(j) = -5*j**2 - 7. Let z(l) = m(l) + 6*p(l). Determine h(x) - 5*z(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 693 and 937440?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + j**4 + j**3 + 17 - 16 as l*j**4 + r*j + s + u*j**3 + i*j**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 + 7*n**2 + 5*n. Let z(y) = -2*y - 4*y**2 + 4*y**3 - 3*y**3 - y. Let a(f) = -3*t(f) - 5*z(f). Find the third derivative of a(q) wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -14.99. Let t = 0.66 - -4.34. Put t, z, -5 in increasing order.\nAnswer: -5, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10697 is divided by 984.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**4 + 17*f**2 + 2015 + 870*f**3 - 870*f**3 + 22*f**4 wrt f?\nAnswer: 84*f**3 + 34*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d + 37*d = -5. Is d greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**3 + 170*g**2 + 113*g + 65. Calculate p(-56).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1737125 (b) -2\/3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 0*v**5 + 15*v**2 - 56 + 0*v**4 + 13\/10*v**6 + 2*v - 1\/6*v**3. What is the second derivative of j(o) wrt o?\nAnswer: 468*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 3:58 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -784189770 divided by -46410?\nAnswer: 16897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2, 8.2, -5, 2\/13 in ascending order.\nAnswer: -5, -0.3, 2\/13, 2, 8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 757183?\nAnswer: 757183.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -730, -1568, -2876, -4654, -6902?\n\"Answer: -235*g**2 - 133*g - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -35205353658+137\nAnswer: -35205353521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 475? (a) 0.07 (b) 3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 d, and 1 v when four letters picked without replacement from idyyvddeid?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13 and -0.1497?\nAnswer: 12.8503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + 6663*v + 33207. Calculate a(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12961244 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(420\/(-16)))\/((-95760)\/11400)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhgghhhhhhhghhhhh. Give prob of picking 3 h.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 37894*f**2 + 2 + 5 - 6*f - 37898*f**2. Let i(b) = -b**3 + 3*b**2 + b + 1. Let n be i(3). Suppose n*s + 10 = 6*s. Give q(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-342)\/(-576))\/(-19)*12.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*y + 46, -f - y = -2*y + 46. Let g = f + 95. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, -1.07, -70\/9, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*z**3 + (3*z - 2*z + 0*z)*(0 + 2*z**2 + 0) + 5*z**3 - z**2 + z**2 - z**3 + 2*z**3 - 2*z**3 + (z**3 - 1 + 1)*(-6 + 2 + 0) - 3 + 3*z**3 + 3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i - 63 - i + 817*i**2 - 818*i**2. Let z(w) = -114*w. Determine n(z(o)).\nAnswer: 228*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-220)*1192\/149\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9880*n + 3*v = 9875*n - 13, -2*v + 4 = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -42*n**2 - 2*n - 2. Let m be p(-1). Let c = -30 - m. Suppose c*x = 8*x + 428. What are the prime factors of x?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t + 35784 = -8*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 45*w**2 + 2*w - 4176. What is v(-47)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6547?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742 = 27*h + 44*h + 252 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, 7, 36, 3, -4 in increasing order.\nAnswer: -146, -4, 3, 7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9763665 by 61.\nAnswer: -9763665\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1977 is divided by 76?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlllzllz. Give prob of sequence zzz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o + 209 = -2*o - 239. Solve -o*b = 3191 - 3063 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**3 - 3*d**2 + 3*d + 4. Let t(g) = -20*g**3 - 9*g**2 + 9*g + 12. Let j(u) = -17*r(u) + 6*t(u). What is the least common multiple of 5 and j(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7201152 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 + -62 + 89\/((-2403)\/(-810))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162290 is divided by 32431.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133 (base 4) to base 9.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -52 - -128764?\nAnswer: 128712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 0.3, 4, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -824?\nAnswer: -5\/824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1212, -1183, -1134, -1065, -976, -867?\n\"Answer: 10*t**2 - t - 1221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/(-138)*12\/(-56)*2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 161523418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 96*i**5 + 232*i**4 + 180*i**3 + 48*i**2 + 4*i = 0. What is i?\nAnswer: -1, -1\/4, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 p, and 1 g when four letters picked without replacement from pxgvxgpzzpxznpn?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + r - 13. Let p(s) = 12*s**3 + 3126*s**2 - 1042*s - 26. Let w(b) = -2*a(b) + p(b). Find l such that w(l) = 0.\nAnswer: -261, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/210)\/((-1)\/(-4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 1\/3*t**3 - 1\/10*t**5 + t + 0 - 1\/3*t**4 + 2*t**2. Determine c so that y(c) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 2*x - 2. Let z(r) = -2*r**2 + 3*r - 5*r - 15 + 3*r + 13. What is 3*y(a) - 4*z(a)?\nAnswer: 2*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 125, 118, 107, 92, 73, 50?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227905 at least as big as 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 923.8086 nanograms?\nAnswer: 0.0000000000009238086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t + 190 = 36*t - 46*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 + 2. Let r(f) = -6474*f**3 + 4. Determine 2*d(h) - r(h).\nAnswer: 6478*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + b**2 - 5*b**2)*(3 - 6 + 2) + (0*b - 5*b - 2*b)*(-12 - 2*b + 12).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560*d - 1039584 = -4771984. Which is smaller: d or 6666?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwwi when four letters picked without replacement from wiiwwiiwilil?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 696956 and 15.5?\nAnswer: 696940.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311.126117 rounded to the nearest 10?\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 3 = -36 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*j + 184, 0 = -3*j - 2*o + 4*o + 188. Let g be ((-4)\/(-5))\/(2\/j). Let f = -34 - -70. What is the greatest common factor of g and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -9. Let t = 19 + -11. Solve -u*q - 2*q = t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 4 = 18*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 0.112?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -19 (b) -1.5 (c) 0.02 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52419 and 519.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19\/((-95)\/20) + (-24)\/(-3). What is the second smallest value in 1, -3.5, 2\/21, t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 + 3*o**3 - 2*o**3 + 6*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t. Let o(m) = -2879*m + 77 - 272 + 73 + 122. Calculate g(o(c)).\nAnswer: -5758*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 192 = 6*y. Let q = 2 - 2. Suppose b + 4*b - 20 = q. What is the greatest common factor of y and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 4*s - 7. What is k(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + -4a4?\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -12367.\nAnswer: 1236.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*u = -99*u + 6*p + 16, 4*p = -u - 24 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1034343394*v**6 - 1702*v**2 + 10*v - 352?\nAnswer: 124121207280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/4)\/9*2*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 + 54. Let j = q + 32. Is (j - -1) + -2 + 7*23 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22372 and 0.04844.\nAnswer: -1083.69968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 518*b**3\/11 + 49740*b**2\/11 + 1194624*b\/11 + 27648\/11.\nAnswer: 2*(b + 48)**2*(259*b + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-16)\/(-56)) + (-2 - 6). Let o = -4 + 4. Suppose 3*r + 9 - 3 = o. Which is bigger: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3433355 - 304?\nAnswer: 3433051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 5. Let r be m(5). Let f(d) = d**3 + 4*d**2 - 5*d - 2. Let h be f(-4). Let a be h\/(-8)*(-16)\/3. Solve -4*z + z + a = r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n - 2 + 1 + 4 + 76*n. Is 38 a factor of u(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 567, 1153, 1787, 2493, 3295, 4217, 5283?\nAnswer: 6517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 280909 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-152)\/6*(-33)\/22. Which is smaller: p or 40?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 3, -1\/7, -3\/28?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 137214799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*s - s - s)*(2 + 3 + 0) + (s - s + s)*(-4 + 5 + 1) + 6*s - 5 + 5)*(2*s - 2*s + 2*s) in the form l*s + c*s**2 + t and give c.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.80805 + 17?\nAnswer: 17.80805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 1:11 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:50 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-21\/8)*d**(-2\/19)*d**(-2)\/(d\/(d**(6\/13)\/d)) assuming d is positive.\nAnswer: d**(-12387\/1976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*((-2)\/1 + (-143)\/65). Solve -p*d - 12 = -27*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(76))*-2 + (2*sqrt(5472))\/sqrt(2))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h**3 - 6*h**2 - 4*h. Let u(r) be the first derivative of 7*r**4\/2 + 17*r**3\/3 + 11*r**2\/2 - 34. Calculate -17*j(z) - 6*u(z).\nAnswer: z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11500 (base 13) to base 8\nAnswer: 75563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-320)\/25 - -13) + (-302)\/10. Let u = -7 + 17. Is 7 a factor of 378\/u - 3\/n*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 + -127. Solve 0*r - r + 19 = 4*h, d*r = 3*h + 3 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 158001 and 11?\nAnswer: 1738011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - 297*h**2 - 9*h - 3. Let w(s) = -2*s**3 - 292*s**2 - 6*s - 3. What is -3*w(c) + 2*z(c)?\nAnswer: 2*c**3 + 282*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*3\/6*(-450)\/250.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1363.7 + 1363. What is the fourth smallest value in -0.01, g, -4, -1\/4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 6*k - 10. Let i be n(-9). Suppose 769 + 2495 = i*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f = 40*f - 16. Put f, -1, 3 in increasing order.\nAnswer: -1, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2 + 2)*(440 - 39*s - 156 - 16 + 16).\nAnswer: -39*s**2 + 284*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 2*q - 5*q)*(2*q**2 + 3*q**2 + 0*q**2)*(3 + 3 - 3).\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23979 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -309a (base 16) to base 10.\nAnswer: -12442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -7*v**4\/5 + 963843*v**3 - 39930111*v**2\/5 - 6471443*v + 12392118\/5 = 0?\nAnswer: -1, 2\/7, 9, 688451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 4 in ascending order.\nAnswer: -11, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0.2, -2, 4, -1\/12, 448?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 406 = 2*i - 3*x, 5*i - 19*x - 19*x - 202 = -41*x for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -42768147574+1.0981\nAnswer: -42768147572.9019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/8*12\/10*28. Suppose 0*d - l = -3*d. Calculate the remainder when 66 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(1700) - ((sqrt(1700) - 2*sqrt(1700)) + 2 - sqrt(1700))) + 5 + 1*sqrt(1700) + -1)*3)**2.\nAnswer: 1440*sqrt(17) + 244836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.4 - 6. Let d = -0.2 + 0.2. Let g = -1 - 0. Which is the nearest to d? (a) -3 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -11*z - 3*x + 245, 0 = -z + x + 225. Let w be 2*(z\/161 - (-3)\/(-7)). Solve 7*k = w*k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwgg when four letters picked without replacement from {s: 5, z: 1, g: 8, w: 5}?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 - 4*c**2 + 7. Determine m(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 578 and 63138?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 + 10272*y\/5 - 655074\/5.\nAnswer: 2*(y - 63)*(y + 5199)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: a5b (base 16) to base 8\nAnswer: 5133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39 + 92?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 1:51 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12588 + 7\nAnswer: -12581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3*s + 1501*c**3*z + 53*c**2*s*z - 25*c**2*s - 2*c*s - c + 3*s*z + 642 with respect to z.\nAnswer: 1501*c**3 + 53*c**2*s + 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -70. Let n be (-401229)\/(-2) - (-1)\/m*-9. Let z = n - 117613. What is z rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14898662 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -1\/120*w**6 - 11\/24*w**4 - 11\/60*w**5 + 308*w**2 - w**3 + 0*w + 0. Calculate b(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1632220?\nAnswer: 2, 5, 81611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 150, 261, 396?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201793320?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/3)\/(6\/72)*(-12)\/48?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2. Let c(t) = -65175*t - 1. Give c(y(l)).\nAnswer: 65175*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294901*g = 294910*g - 243 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 886, 1628, 2368, 3106, 3842, 4576?\nAnswer: 5308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130354.0800009 + -130354. Let z = 0.08 - a. What is z rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5\/(-30))\/(56\/1800) and -47\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-12))\/(1002\/668)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 + 1458*a**2 + 110029*a\/3 - 79182.\nAnswer: -(a - 4399)*(a - 2)*(a + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 918*j + 130386. Calculate b(-143).\nAnswer: -888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/10 of a millennium?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -4*k + 5*z, -5*z = 3*k + k + 112. Is (-2)\/13 + k\/(-13) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-5))\/(3\/(-30)). Let l be -2 + 3 - -8 - 1. Let j = l + -9. Sort t, 2, j in ascending order.\nAnswer: j, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2388*o + 9554. Let b be s(-4). Sort b, 298, -1 in ascending order.\nAnswer: -1, b, 298","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4 - 116*g**3 - 6640*g**2 - 36492*g - 53010 = 0. Calculate g.\nAnswer: -31, -3, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 727700 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: Is 6276007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70319*j**3*u + j**3*y**2 - 43*j**3*y - 696*j**2*y**2 + 46*j**2 + 64*j*u*y**2 - 2 wrt u.\nAnswer: -70319*j**3 + 64*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 13*z**4 + 2 + z**2 - 36*z**4 + 22*z**4 to p*z + a*z**2 + u*z**4 + n + m*z**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gglugglglugg. Give prob of sequence ug.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t. Let g be -3*4\/12*-8. Suppose -12*s = -g*s. Is s at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + ((sqrt(85) + (sqrt(85) + sqrt(85) + 2*sqrt(85))*3)*6)\/(sqrt(80)*2 - (sqrt(245) + sqrt(245) + 1*sqrt(245))).\nAnswer: -6*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*k - 16 = 3*i, 0 = -3*k + i + 24. What is the remainder when 291 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112335293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26715032549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**9))**(4\/7)\/(g*g\/(g*g*g\/g**(-2\/5)*g)*g*g)**(34\/9))**(-13) assuming g is positive.\nAnswer: g**(-27248\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 3267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 + (-23 - -78) - (10 + 0)) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -498 + 670. What is the greatest common divisor of 602 and g?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Let y(m) = 2*m + 3. Let n be y(-3). Let x be 1 + (-2)\/(i\/n). Sort 5, 0.4, x in decreasing order.\nAnswer: 5, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -7 + 7. Put -1, 1, -15, s in descending order.\nAnswer: 1, s, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, 35, 73, 133, 221, 343?\n\"Answer: v**3 + 2*v**2 + 9*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 289 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1844 + -1844.00003412. Round x to 6 decimal places.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -5*p**2 - 1\/84*p**7 - 1\/24*p**4 + 0*p + 0 + 1\/24*p**5 + 0*p**3 + 1\/120*p**6. Find d such that l(d) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w + 10. Let l be s(-2). Suppose 8*j + 10 = l. Find the first derivative of -6*a**2 - 2*a**j + 7 + 2*a**4 + 8*a**2 wrt a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2687414267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, -3, 70, 0 in decreasing order.\nAnswer: 70, 12, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2. Let p(r) = -22*r**2 + 6. Let w(i) = -45*i**2 + 13. Let m(j) = 13*p(j) - 6*w(j). What is n(m(b))?\nAnswer: -512*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 8*r**2 + 9*r - 2. Let x be f(7). Suppose -x = -5*b - 2. Let k be 2\/(-3)*(-9)\/2. Solve b + 0 = 2*c, 5*o + 18 = k*c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 255705478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*n - 26, n = -2*x + 9 - 23. Let c(p) = -3*p + 4. Give c(x).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95393 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 12*w + 18. What is the tens digit of 481 - (3 + w\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4*u + 16, 4*u + 14 = -r - r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/((-189)\/(-18)))\/((-2418)\/68913).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-6) - -3)\/(14\/105). Suppose -q*y = -2*p + 2707, -5437 = -5*p - 5*y + 1383. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1049, 1221, 1507, 1907, 2421, 3049?\n\"Answer: 57*w**2 + w + 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-66)*15*5*4\/75\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75326 (base 13) to base 12.\nAnswer: -a244b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 18244, -4 in descending order.\nAnswer: 18244, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 9*f + 4 = 0, 5*d + 2*f = -13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.052 and 278?\nAnswer: 277.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 1\/8 (b) 3 (c) -0.3 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7) - 148\/28. Let k = -24 + 26. Which is the third biggest value? (a) k (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44032, 88069, 132106, 176143?\nAnswer: 220180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 111, 273, 543, 921, 1407, 2001?\n\"Answer: 54*j**2 + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1988608211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 - 395*v - 92 - 409*v + 802*v + 18.\nAnswer: -2*v - 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h - 7 = 5*f, 13 = -2*f + 3*h. What is the common denominator of (1 + -6)*(-17)\/f and -32\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 308 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -29 - (-15 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -563*t**6 + 6*t**2 + 22.\nAnswer: -67560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 8:29 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 + 110*l**2 + 34*l + 139. Let o be c(37). What is the highest common factor of o and 6874?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 + 9*f - 9. Let t(w) = w**2 + 4*w - 4. Let p be 3\/((-9)\/24) + -1. Give p*t(g) + 4*x(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/791 and 83\/226?\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141 - -85. Let a = 119 + r. Let z = a - 687\/11. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**2 - o**2 + o**2. Let u(p) be the third derivative of -p**4\/12 - 48*p**2. Give y(u(w)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4242454 (base 6) in base 3?\nAnswer: -101120021121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327954978.\nAnswer: 2, 3, 13, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 2*o**3\/3 + 3*o**2 + 6*o + 749. Let i(w) = -w - 1. Determine -5*i(m) - z(m).\nAnswer: -2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*t**2 - 1 + 1 + 267*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 1. Let t(f) = 7*f + 9. Let g(s) = -t(s) + 3*v(s). Give g(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-60))\/1)\/((-2)\/15*3045\/(-3248)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2\/252386189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1822.143 - -1826.9. What is r rounded to 1 decimal place?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3207351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(7 + (-60)\/8). What is the units digit of h\/3*((-3256)\/(-16) - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Let c be ((-156)\/(-117))\/((-4)\/(-15)). Solve d*i + 5 = c*u - 4*u, -4*u + 4 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 + 44. Let n = -49 - k. Let i(f) = f**2 - 2*f + 1. Does 8 divide i(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 162711, 325421, 488131, 650841?\n\"Answer: 162710*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139 - 138. Is -4\/37 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2365877 >= -2365892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 212111220?\nAnswer: -212111220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*r**3 + 42*r + 64*r**3 + 49*r**3.\nAnswer: -r**3 + 42*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33802*a**4 - 146*a - 11 wrt a?\nAnswer: 405624*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 42*d**2 - 331*d + 2. Let v be r(-15). Calculate the greatest common factor of 26 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/10088 and 31\/832?\nAnswer: 80704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*n = 3, 0*c - c + 3*n = 0. Suppose -l - 2 - 17 = -2*w, -3*l - 13 = -2*w. Calculate the remainder when w is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t - 46. Calculate d(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19081*l + 32980 = -22379*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/7))**5\/(f\/f**(-1))**18)\/(((f\/f**(-2\/3))\/((f**(-4\/3)\/f)\/f))\/(f**0\/f**8)) assuming f is positive.\nAnswer: f**(-353\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -b405b4?\nAnswer: -b405b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 1:19 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 176838253 to the nearest 100000.\nAnswer: 176800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 3) in base 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*z = 13, -3*z = 2*z - 5. Let l = o - -1. Let x(t) = 3*t - 18. Let g be x(6). Sort g, l, -4 in decreasing order.\nAnswer: g, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2701 and 940167.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359391400?\nAnswer: 2, 5, 619, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (111 - 87) + 8 + -2*(5 + -59).\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 13*o**3\/6 - 2*o**2 + 2*o. Suppose -4*q + 5*x - 2 = 1, -4*x + 6 = -2*q. Is r(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157790*l**2 + 41*l**3 - 315494*l**2 + 157707*l**2.\nAnswer: 41*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2486 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - (-10 + 6)) + -6. Suppose -2*n = -2, -f*n = -3*w + 3 + 110. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13\/2, 23414, 0?\nAnswer: 23414","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -10. Suppose 0 = -t - g*i + 8, -2*t + 2*i = -3*t + 23. Let p = t + -30. Solve -3*r = -9, -2*y - 17 = 2*y - p*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 - -113\/2. What is the smallest value in 5, 0.5, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 469 and 2331.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 9*z**2 - 9*z - 6. Let g be f(-8). Is 14 a factor of 1 + g + 2 + 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -48593, -1, -0.3, -10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from bhbblsl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11614 - -0.13023. What is q rounded to four decimal places?\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + j + 82, 0 = -z + 3*j - 6*j + 10. Let w(x) = x - 15. Let b be w(10). Let k be (-2 + b\/(-2))*0. Solve 0 = -c - k + 3, -3*c = 5*d + z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g + 64 - 68 + 75.\nAnswer: 18*g + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 78, 358, 824, 1476, 2314, 3338?\n\"Answer: 93*u**2 + u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13\/(9*5\/4815)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/(-3))\/(3\/171). Let q = 214 + d. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*r = -2*j - 4, -4*r = j + 10. What is the lowest common multiple of 8 and j\/((10\/8)\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmemymmmey. What is prob of sequence eyy?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.483 and 0.\nAnswer: -0.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2674639801 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 4. Let c be u(-6). Let n = c - -4. Let v = -115462 - -115465. Put -1, n, v, 0 in decreasing order.\nAnswer: v, n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence taa when three letters picked without replacement from tttttttataa?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1653 - 3104 - 2331*x + 2334*x - 4511)*(x + 2*x - 7*x)*(0 + 1 - 3).\nAnswer: 24*x**2 - 74144*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -926.35 and -5.881.\nAnswer: 5447.86435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -326.8 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 69, 102, 133, 162, 189, 214?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 24 = -4*m, -3*i - 18 = i + 2*m. List the prime factors of 229*(-6 - -7) - i.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-6 + 15 + -4 + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001166476 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -53*w**3 - 22*w**2 + 9*w + 394. Let c(o) = 60*o**3 + 21*o**2 - 9*o - 396. Let q(u) = 8*c(u) + 9*r(u). Determine y so that q(y) = 0.\nAnswer: -3, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -10. Suppose 0 = 2*b, f*b + 15 = n - 6*n. Sort 0, 1\/2, n in descending order.\nAnswer: 1\/2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6420*n - 24. Let g(y) = -799*y - 3. Give -4*b(p) + 33*g(p).\nAnswer: -687*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164.95 - 164. Let j = -0.95000258 + z. What is j rounded to seven dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011368 rounded to 5 decimal places?\nAnswer: 0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74482960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k - 59*k + 864 = -8*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 5*j - 76, -j + 2*j = 5. Let d be 0 + (6\/i - (-95)\/85). Which is the biggest value? (a) -1 (b) 4\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118883\/6 - 19815. Which is the biggest value? (a) q (b) 83\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.7 + 14.3. Let g = v + -24. Is g < 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 15*q**2 + 9. Suppose 116 - 112 = 2*w. Let f(x) = 4*x**2 + 2. Give w*j(v) - 9*f(v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 24*r - 143. What is k(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + 149 - 2415*d + 2401*d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 33273954 divided by 1\nAnswer: 33273954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 120*m**2\/11 + 45242*m\/11 - 44604\/11 = 0. What is m?\nAnswer: -378, 59\/60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 13 = -n, -4*q = 4*n - 3*n + 31. Calculate the remainder when (1 - -1)\/((-6)\/q) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129325976 take away 5?\nAnswer: -129325981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 855738, 3422943, 7701596, 13691679, 21393174, 30806063, 41930328?\nAnswer: 54765951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61839.75um in millimeters?\nAnswer: 61.83975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 375 and 7719225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -634145 + 632417 = 27*v for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 8}. What is prob of sequence zo?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*x - 2, 10 = l + 15*x - 19*x. Let w(t) be the third derivative of 0*t + 0*t**3 - 1\/4*t**4 + l*t**2 + 0 - 1\/20*t**5. Factor w(q).\nAnswer: -3*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3346 = -5*j, 4*j + 0*j + 16 = 0. Let q = c - -11269\/10. What is the common denominator of 93\/16 and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259413839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**2. Let z(k) = -3*k + 10. Let u be z(9). Let h(w) = -2*w**2. What is u*h(a) - 6*c(a)?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -6 + 9 + 2 + -40 - -10\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.092 (b) -4 (c) 0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 9*i**3 + 4*i**2 - 23*i - 84. What is t(-3)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233 + -230. Suppose x = -2*x + 2*m + 41127, -z*m = 3*x - 41142. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/6 and -71\/436.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103783133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 32 = -4*w + 6, 5*w + 46 = y. Put -4, w, 3, 23 in decreasing order.\nAnswer: 23, 3, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -732 + 3?\nAnswer: -72b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5499, 11006, 16545, 22116, 27719, 33354, 39021?\nAnswer: 44720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12911 is divided by 123.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 - (124 + -308 - -101)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -868 - -1623. List the prime factors of g.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 1189?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 11. Let z = 0 + v. Suppose 0 = 3*s - 3*b + 3, s - 2*b - 14 = -z*b. What is the remainder when 14 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(-29\/2)\/(q*q**(-15))**(-6\/7))**(-2\/93) assuming q is positive.\nAnswer: q**(-5\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -880. Let i = -370 + h. What is the common denominator of (-1)\/5 - i\/(-455) and -26\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ottntnoottttttooto. Give prob of sequence nnt.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/3 + 56308*t**4\/5 - 2269454*t**3\/5 + 2594968*t**2\/15 + 269632*t = 0 for t.\nAnswer: -3\/5, 0, 1, 40, 16852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(((s\/(s\/s**(1\/34)*s))\/s)\/s*s)\/s*s\/s**(-8\/11)*(s\/s**(-5\/2))**(-29) assuming s is positive.\nAnswer: s**(-19026\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/21 + q**3\/21 - q**2\/7 + 17*q. Determine r so that m(r) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d + 124. Let u(f) = -f - 22. Let r(h) = 11*u(h) + 2*z(h). Let l be (0 + 0)\/(-12 - -11). Let q(v) = -v + 1 - 7 + 1 + l. Calculate 4*q(g) + 3*r(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + -4*(-2*sqrt(1053) + -5 - (1 + sqrt(1053))*2) + 2)**2.\nAnswer: 17856*sqrt(13) + 541058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 6) to base 4\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2278*f**3 + 117900156*f**2 - 1525509652680*f - 8036050608 = 0. What is f?\nAnswer: -6\/1139, 25878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1\/4, 3\/7, 1\/9, 4\/25?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 4*m + 1. Let y be p(-2). Suppose 5*d - 5 = y*u, 2*d - 4*u - 3 = -3*u. Suppose -d*r = -6*r + 20. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 3*t + 154. Let b(p) = p + 1. Let w(v) = v**3 + 7*v**2 - 12*v - 18. Let l(f) = t*b(f) + 2*w(f). Suppose l(x) = 0. What is x?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 472328028?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 r when three letters picked without replacement from ffdrrrrrdfdrr?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*x - 88*x + 944089 - 306097. List the prime factors of x.\nAnswer: 3, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2398876999\/215207174 + 100\/1072461. Let j be (-8)\/(-10)*60\/2408. Let r = j - b. Calculate the common denominator of 57\/2 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 6:34 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/73 and -3\/67.\nAnswer: 4891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -124 - 8?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-950)\/(-380))\/((2\/6)\/((-21)\/((-756)\/(-264))))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 1 + 4 - 5. Let w(a) be the first derivative of -1 + 5\/2*a**2 + 0*a. Determine b(w(f)).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 83*f**2 + 11*f**4 - 159*f**2 - 2 + 74*f**2 as l + y*f**2 + t*f**4 + k*f + q*f**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((24\/(-14))\/1)\/(4\/28). Which is the second smallest value? (a) 22 (b) 0.3 (c) -4\/9 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2 - 95*v + 40. Calculate the remainder when 3051 is divided by x(-23).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 662, 1001, 1566, 2357?\nAnswer: 3374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2466 = -60*u + 4914. Solve -89 + u = 17*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.34?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-4)*92\/5. Suppose -u + r = l + 2*l, 138 = 3*u + l. Is (-4)\/((-16)\/22)*u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 31 = 9442*h - 9438*h - 9, 14*l - 3*h = 202 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33d1 + -d?\nAnswer: -33de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n - 9. Give g(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 240610 or 240613?\nAnswer: 240610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5654*n**4 + n**3 + 20808 wrt n?\nAnswer: -22616*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2*f - 2)*(-f + f - 2*f) - 5*f**2 - f**2 + 3*f**2)*(39 - 28 - 17)*(-9 + 4 - 14).\nAnswer: -798*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 - 6*o**3 + 9 - 3 + 11*o**3 + 4*o. Let y(a) = -9*a**3 + 7*a**2 - 7*a - 11. Determine -11*h(c) - 6*y(c).\nAnswer: -c**3 + 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 0*p + 0*p)*(3*p + p - p) + 2*p + 4*p**2 - 2*p as u + m*p + n*p**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 17*k - 69. What is the units digit of t(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -737.\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 9*i + 22. Let n be y(-5). Suppose -p - r = n, 2*p - p + 11 = 2*r. Which is the smallest value? (a) 18 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104 and -21972?\nAnswer: 2285088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 262 + 256 - 780 - n**2 + 246 + 10*n = 0. What is n?\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 12. Let q be (-1)\/3 - f\/(-3). What is the tens digit of (-39)\/(-6)*(-2 - q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*r, -5*s - 2*r = 3*r - 40. Suppose f + 0*f = s. Let m(q) = q - 2. Let n be m(f). Solve 0 = t + 4*i - 21 + 1, 5*t - n = 4*i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 + 77 - 8*k**3 - 2*k**3 - 8*k**4 - 79 to the form l*k + d + h*k**3 + s*k**2 + z*k**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2, 650, 0, 111 in descending order.\nAnswer: 650, 111, 5, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 19. Suppose g - u = -2*d, 0*d = d + 5*g - 29. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 6. Let l = a + 7. Suppose 2*y = l*y - 46. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*y - 1, 3*n - 3*y - 6 = 0. Suppose -7*t + 58 = 2*d - 2*t, 3*d - 66 = n*t. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182667041 to the nearest integer?\nAnswer: 13515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3295*j - 1 - 1255*j + 1217*j to the form p*j + o and give p.\nAnswer: 3257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 + 64. Let q be ((-8)\/j - -2)*-1*-1. What is the nearest to q in -0.5, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 + 5*z**2 + 5*z - z**3 - 1 + 2*z**3. Let r(t) = -t**2 - t. Let l(u) = -f(u) - 5*r(u). Find the first derivative of l(y) wrt y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = 4*z + 4*s + 99, -2*s - 6 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + ((-5)\/(20\/(-1308)) - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -15. Let p = 14 - r. Solve p = 4*a - a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 1475 = 2*c. Let i(q) = -3*q + 27. Let z be i(14). What is the tens digit of c\/z - 4\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 2*u**2 + 3*u + 3. Let b be m(3). Suppose -5*w = -5*d + 70, -31 = -2*d + b*w - 1. Let o = 8 + -6. Solve d = -5*c + o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -160505, -317088, -469751, -618494?\n\"Answer: 1960*z**2 - 162463*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5445358059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -23*p**2. Let d be 5 + 12\/(-4) + 0. Let h(q) = -33 + 33 + q**d. What is z(h(m))?\nAnswer: -23*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1442)\/(-3090))\/((-546)\/(-60))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*j - 48*j**2 + 43*j - 100*j.\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*x - 37*x + 33*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 140486267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8464 + -8454. What is the smallest common multiple of f and 1348?\nAnswer: 6740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 y when three letters picked without replacement from {o: 3, y: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -545*f**2 - 86*f + 19*f**3 + 543*f**2 + 23*f**3 - 12*f**3 - 45*f in the form i + m*f**3 + u*f**2 + w*f and give w.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j**2. Let w(k) = 11*k. Determine w(u(x)).\nAnswer: -99*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 8.41?\nAnswer: 25.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, -0.2, 40, 3.\nAnswer: -4, -0.2, 3, 12, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + v**2 - v + 6. Let d be x(0). Let a(p) = -p + 1. Let q(c) = -c + 3. Let l(u) = d*a(u) - 2*q(u). Let o(n) = 4*n. Give l(o(t)).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021173 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -3. Let a = 490.9 + -491.3. Sort p, 5, a, 7 in increasing order.\nAnswer: a, p, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 15) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 163119 and 1023.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1969729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11934, 25168, 39710, 55560, 72718, 91184?\n\"Answer: 654*k**2 + 11272*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 9, 16, 1 in ascending order.\nAnswer: -11, 1, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -639.573 + 634.7. Let m = v + 4.9. Let z = 82.027 - m. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u**2 + 12*u**2 - 20*u**2 - u. Let y be o(-1). Solve -5*c - 41 = -4*r, -11 = y*c - 5*r + 24 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 h when three letters picked without replacement from shsssshsssh?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (43 - 52 - (6 + 7))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 808514 to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1517 (base 16) to base 12\nAnswer: 315b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201100 + 2102220000000?\nAnswer: 2102212021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-5)\/((-35)\/(-42)). Let g(x) = -x + 19. Let w be g(15). Factor -3*y**3 - 3\/2*y**w + c*y + 3\/2*y**2 + 0.\nAnswer: -3*y*(y - 1)*(y + 1)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342891 and 372?\nAnswer: 1371564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10790 + 10790 + 3*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 383 - 471 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89042389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270057?\nAnswer: 3, 90019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 5*q + 1. Let i be o(-4). Suppose i*v + 4693 = -4107. Round v to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7483647751*y - 14967295523*y + 7483647758*y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**4 - j**4 - 5*j**4 + (j**3 + 5*j**3 - 5*j**3)*(j + 0*j + 0*j) + 47*j**2 - 47*j**2 - 10*j**4.\nAnswer: -11*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 787881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 - 3*x**4 + 5*x**4 - 2*x**4 + x**4 + 3*x**4 - 3*x**4 + x**4 + 3*x**4 + (-3 + 2 + 3)*(0 - 2*x**4 + 0) + 15*x + 31*x**4 - 15*x.\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - j - j + 6*j - j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2 - 20*p - 14. Let z be f(-11). Let o = z - -1011. What is the greatest common divisor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-825))\/((-4)\/108*3)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100112031 (base 4) to base 13.\nAnswer: 24627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (1 - (12 - 2) - (-323 + 339))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 3*x - 6*x)*(0*x**2 + 0*x**2 - x**2) + (-3*x**2 + 0 + 0)*(10 - 10 + x + (-3*x + x + 4*x)*(4 + 3 - 1)).\nAnswer: -37*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 + 0.03. What is the closest to -1\/3 in r, 0.5, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2871 + -2843.4. Which is the fourth smallest value? (a) 0.5 (b) 1\/5 (c) 0.3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 165, 87, -2, -4, 2, 6 in descending order.\nAnswer: 165, 87, 6, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8647540?\nAnswer: 2, 5, 11, 23, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -396940 divided by -2\nAnswer: 198470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n - 172. Suppose 5*w - 62 = n. Calculate the greatest common factor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a factor of 78324192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 29 + 6. Suppose -5*z - 5*l = -18 - x, 3*z = -5*l + 17. Solve -3*n - 12 = -4*d, -2*d + 3 + 3 = z*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56571 and 1635?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/sqrt(4))\/sqrt(8) + (-2*sqrt(3)*-3)**2 - (6*sqrt(363)*-3)**2)*-6*-3*-1.\nAnswer: -18*sqrt(3) + 2115072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3144877 + 1037*n**3 + 3144877.\nAnswer: 1037*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**2\/2 - 564651*s\/2 + 6210919 = 0.\nAnswer: 22, 564629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dydfxdddy. What is prob of sequence ydd?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-3))\/(2\/6). Let b be 18\/4*a\/6. Let l = 3 - b. Solve v + 2*v - 6 = l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - -12) + 0\/(-1) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-365)\/(-73))\/(12\/((-1296)\/(-30))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3\/2 + 810*x**2 + 1655*x\/2 - 4875.\nAnswer: -5*(x - 325)*(x - 2)*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - 1) + -6 - (17 + -974)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6755 - 6687. Calculate the highest common factor of o and 4012.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6327.064mg in micrograms?\nAnswer: 6327064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17992780606 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4301253 is divided by 391023.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v**2 + 35*v - 7. Calculate the remainder when 42 is divided by o(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-42))\/((-6216)\/2124 + -1) and 115\/18.\nAnswer: 87570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 92, -1 in ascending order.\nAnswer: -5, -1, 0, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 594, 2341, 5268, 9375, 14662?\nAnswer: 21129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agfaufgufffbfbgba. Give prob of picking 1 b and 1 a.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 4, h: 2, u: 6, z: 1, t: 4}. What is prob of picking 1 u and 1 s?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 6, -2\/5, 0.1, -0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z, y - 2101 + 453 = -z. Let w = -548 + y. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/15))**(1\/21))**(29\/3) assuming b is positive.\nAnswer: b**(-29\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/10 and -13\/3271.\nAnswer: 32710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*r**2 - 56*r**2 + 3702 - 1849 - 73*r**2 - 1853.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - 2. Let m = 7.9 + t. Let n = 1 + -1. Which is the nearest to m? (a) 0.3 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**6*i**(1\/11))**(1\/14)*i**(-2\/15)\/i**(-2\/5)*i**(1\/9)*i*i**0\/i assuming i is positive.\nAnswer: i**(3064\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010768 to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5}. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(5))*-2 - ((-2*sqrt(45))\/sqrt(9) - sqrt(5))**2.\nAnswer: -53 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36950 = -1473*f - 32531. Factor -f*u + 3\/4*u**2 - 15\/4.\nAnswer: 3*(u - 5)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 27628218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-5 + (738\/80)\/((-30)\/(-50))).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -92*f**2 + 65*f**2 + 7*f**2 - 930*f - 3640 + 10*f**2 + 5*f**2 = 0?\nAnswer: -182, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + 319*p**2 - 200*p - 6295. Determine h(-160).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 12*w**2 + 2*w + 26. Calculate r(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 7:27 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (16 + -33 - -16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**2 + 1 - 1 - u**2 + 215 + 247 - 89 + (3*u**2 + 5*u**2 - 6*u**2)*(3 - 1 + 0) - 2*u - 2*u**2 + 2*u.\nAnswer: -4*u**2 + 373","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 29. Suppose 0 = 5*m, -1 = -p + q*m + m. Let w(j) = 49*j**2 + 5*j + 3. Let z(f) = 24*f**2 + 3*f + 2. Let g(y) = 3*w(y) - 5*z(y). Determine g(p).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 20*j**2 - 38*j - 323. Let f be m(-19). Calculate the highest common divisor of f and 6384.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 748 - 421. Suppose -3*g + 724 + 262 = -5*q, g = 2*q + j. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3945 + 4040 + 545*l + 549*l - 1093*l)*(2 + 3 - 3) as o + i*l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-33))\/(10\/(-990)*9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1 - 10 - 7*x + 4*x. Let v = 41 - 27. Calculate the lowest common multiple of v and p(-7).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 47. Let w = a - -119. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from ddvqdmsvd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*1173\/(-322) + -35.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-16)*(-1 + 5). Let g = 3380 + -3378. What is the second biggest value in -68, g, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a**2 - 20*a**2 - 10*a**2.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 h when three letters picked without replacement from {u: 3, h: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 2522*a + 3*a**2 + 480*a**3 - 111*a - 479*a**3.\nAnswer: a**3 - 2633*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 2*i + 1. Let a(u) = 12*u**3 - 36*u**2 + 117*u - 159. Let h(c) = -a(c) - 9*n(c). Determine k, given that h(k) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 7*t - 20. Suppose 0*o - t*j = -5*o + 305, 3*o - 179 = j. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 1, -287912, 0.2, 0.01?\nAnswer: -287912","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 109. Is a(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -8*p + 7*p. Let d = 2 - 0. Calculate the remainder when p is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -9*a + 101. Let v be m(11). Find the second derivative of -v + 91*h - 37*h + 22*h**3 + h**3 wrt h.\nAnswer: 138*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.33 - 27.23. Which is the closest to -2? (a) -2\/5 (b) -0.03 (c) x (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -2, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -125, -309, -637, -1157?\nAnswer: -1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -64*q - 512. Calculate w(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*c + 94*c - 137*c - 14*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2610649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 7. Suppose 2*q = 3*l + 2 - u, 4*q = 4*l - 16. What is the common denominator of 133\/6 and ((-20)\/(-32))\/(l\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 - -85. Let f be 3 - (-8)\/(y\/(-14)). Let g = 39 - 39. Solve 4*d + d + f = g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 times 0.316?\nAnswer: 184.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -219943026 by -3.\nAnswer: 73314342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 1665 (c) 3 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 8 = n. Let h be 14 + -13 + (-4)\/n. Let w = 51 + -50. Which is the closest to w? (a) 0.1 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75352, -75353, -75354, -75355, -75356, -75357?\nAnswer: -75358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4381 minus 975590?\nAnswer: -971209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*b + 2*b. Suppose -f - 5*i + 768 + 1799 = 0, -b*f + i = -12783. Let a = f - 15391\/6. What is the common denominator of 31\/14 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/41, -3218, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/30 + 124\/6. Suppose u = -c + 6*c. Calculate the smallest common multiple of 44 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 11691360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2646, 5278, 7912, 10548, 13186, 15826, 18468?\nAnswer: 21112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 21. Suppose -3*g + 4*g = -q*u + 312, g - 4*u = 284. Suppose 0 = 3*m - g - 27. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 4.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 5, -62, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-1)\/(-3) - 4992\/72. Let x = s + 620\/9. Which is the closest to 4? (a) 1 (b) x (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(3*2\/6). Let f be 2 - (1 - l\/(-3))*1. Is -2\/25 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 8. Let k be m(-6). Solve 4 = 3*u - k*c + 17, c = 4*u + 19 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) 1\/3 (c) 3\/2 (d) -147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 811695 and 795?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + -42. Let y = n + 53. Solve 1 + y = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((14\/18)\/7). Suppose -2*m - 3*v = -16, 0 = 4*m + 5*v - 39 + k. Suppose 0*j - 515 = -m*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 321579314*d**3*l + 43965*d**3 - 171*d**2 + 2*d + 4 wrt l?\nAnswer: 321579314*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1677 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 40\/(-12))*(-1332)\/24. Suppose 472 = 4*s - q - 3*q, -3*s - 3*q = -384. Let u = s + y. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p + 1. Let n be m(1). Let j = n + 3. Let x(v) be the first derivative of -v**3\/3 + v**2 - v + 1. Give x(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 9:56 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/4*-4*(-5)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 54 + 66*n + 40*n - 29*n.\nAnswer: 77*n - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.8 minus 8288.2167?\nAnswer: -8279.4167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94900 and 9490?\nAnswer: 94900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/(2\/12). Suppose -3*x - 8 = 2*w - v*x, -2*x = -4. Let p(y) = y - 4. Determine p(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 0*o**4 + 0*o**2 - 2\/9*o**3 + 2\/9*o**5 + 0*o + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b - 1008 = 3663 - 2907 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.43 - 28.17. Let w = 31.6 + s. Put 0.1, 4, w, -5\/2 in increasing order.\nAnswer: -5\/2, w, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.24+-122513\nAnswer: -122509.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*m + 3, m - 4*m - 10 = r. Let s be (8\/(-12))\/((-1)\/m). Let x be 3 + 6\/s - -5. Solve -3*k = 4*t - 2*t + 6, x*t = 2*k + 23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + 0*s + 123640 - 5*s.\nAnswer: s + 123640","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 7) to base 14\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*((-1 + sqrt(117) + 0)*6 - (sqrt(117)*1*5 + -4))*-1)**2.\nAnswer: -468*sqrt(13) + 4381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**6\/6 - x**5\/5 - x**4\/2 + 3. Factor g(d).\nAnswer: d**3*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25672875 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5 = -2*x + 4*d, 4*x - 3*d = 75. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 12*a + 12 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-20) - (-84)\/15. Let o = -4 + i. Solve 2*s = 5*s + g + 8, -2*s - 4*g = o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -25 - (-4 - (0 + -1)). Let z be (-2)\/(-4)*1 + (-77)\/c. Solve -8 = -z*r - 2*a - 2*a, 0 = 2*a - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9) - 3\/6 - (-650)\/156. Suppose -5*p + 20 = 3*l, 3*p + 6*l = l + 12. Solve c*y = -p - 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -0.3 (c) -2 (d) 0.5 (e) -929\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1553 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**5*v - 7*i**4*v - 892*i**3*v + 2*i**2*v + 75580*i*v wrt i?\nAnswer: -180*i**2*v - 168*i*v - 5352*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -33*b + 1. Suppose 3*w = -2*h - 23, -3*h - 5 = w + 12. Let q = w + 4. Is k(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 11*s**4\/12 - s**3 - 3*s**2\/2 - 51*s. Let r(p) = p - 6. Let a be r(10). What is the hundreds digit of t(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p + 17. Let m(o) = o - 17. What is -2*m(k) - 3*n(k)?\nAnswer: 4*k - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4, 4*k - 626 = -2*c + 22. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/2 of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p. Let m be q(-3). Let u = m - 5. List the prime factors of (10\/u + -2)*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97717.5 - -0.5.\nAnswer: -97717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 - 67. Which is bigger: y or 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52797000 rounded to the nearest 100000?\nAnswer: 52800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 210*f**2 + 2*f + 661?\nAnswer: 420*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 14480, -10, -5 in decreasing order.\nAnswer: 14480, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 + c**2 + 5*c. Let o be r(3). Let i = o + 97. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**8\/84 + 572*y**7\/105 - 19*y**6\/2 + y**2 - 5*y + 3. Factor p(v).\nAnswer: -4*v**3*(v - 285)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/7, -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/3)\/i)\/i)**(3\/23)\/(i**11*i*i*i**(-1)))**(-42) assuming i is positive.\nAnswer: i**(11760\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 519684*s\/5 + 12473568\/5.\nAnswer: -2*(s - 259866)*(s + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 204 + -216. Let c(o) = -o**3 - 9*o**2 + 18*o - 11. List the prime factors of c(s).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-70) - 6025\/(-42420))*2. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 157*v - 1013. Determine i(163).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-300 + 100 + 124)*(-3 + 5 + 0) + (-4 + 6 + 0)*(-3 - 1 + 2) + 6 - 1 - 3)*(0*n**2 - 15*n**2 + 6*n**2).\nAnswer: 1386*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = 0, -i + 363844 = 3*i - 4*r. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1311*t. Let k(a) = 89*a. Determine m(k(w)).\nAnswer: 116679*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (0 - 1) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-1)\/(3\/(-8)). Suppose 0 = 2*q - 0*q - a. Let r be 29\/q - 7\/28. Which is smaller: 6 or r?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -173254?\nAnswer: -173254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - 95. Let c = -66 - o. Let p be 8\/(-36) - (-2 + (-75)\/c). Are -1 and p non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162848 is divided by 32512.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 3:35 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2473, -4961, -7435, -9889, -12317?\n\"Answer: h**3 + h**2 - 2498*h + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-12)\/(-9)*367\/(-29360).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(0 + -2))\/(-2). Let a be (-14)\/(3 - 1) - t. Is ((-2)\/(-4))\/(a\/(-1256)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-8)\/2 + -2. Let w be (-194)\/10 + 4\/g. Suppose -2*j + 90 = -7*j. Which is bigger: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -66*x - 2. Is v(-2) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -350123 - -1445?\nAnswer: -345345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -2. Let y = -110 - -110. Let z = t + y. Do -1\/7 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j - 5 + 0*j**2 + 3*j**2 - 2*j**2. Let a(p) = -p**3 + 9*p**2 + 11*p - 18. Let k be a(10). What is the remainder when 30 is divided by o(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/10 - -2\/5. What is the closest to -2 in m, 2, 12?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + -5 + (0 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 221823486 and 5?\nAnswer: 1109117430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.5 + -12.2. Let h = m - 0.3. Which is the closest to h? (a) 4 (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -129897 less than -129884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/11 + -979*81\/(-26136)\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632 - -6?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.871 - 7.\nAnswer: -11.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60, -123, -210, -333, -504, -735, -1038, -1425?\n\"Answer: -2*g**3 - 49*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 2:45 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.12 + 1161.74.\nAnswer: 1165.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -495932?\nAnswer: 5\/495932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-45)*(-141)\/(-1880))\/((-14)\/(-10)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 7*g**2 - 7*g. Let k(q) = 294*q**2 + 6*q + 3 - 3 - 288*q**2 - q**3. Give 7*k(v) + 6*n(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**3 + 8*g**2 - 3*g + 1. Let m be b(-2). Let p(a) = -2*a**3 - a**2 + 6*a - 2. Let o(w) = w + 1. Calculate m*p(f) + 6*o(f).\nAnswer: 2*f**3 + f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**4\/6 - 94*j**3\/3 - 93*j**2 + 2*j - 81. Let g(m) = 0. What is m?\nAnswer: -93, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34.5 + 35. What is the closest to 2\/7 in o, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - 2. Let z = 10 + k. Solve 0 = m + z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20212909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 538 + -534. Let g(d) = 2*d - 7. Determine g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.474 + -2.43. Let f = o + -0.044. Let k = 167\/20 + -35\/4. Put k, 2, f in decreasing order.\nAnswer: 2, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*n - 578*n + 310*n = 7560 for n.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 327*o**2 - 2*o**3 - o - 45*o**2.\nAnswer: -2*o**3 + 282*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -12) + 63 + -94.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/2*(-85)\/510.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 4, 1\/3, -5, 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 32*a**2 + 5. Let q be f(32). Let k(m) = 19*m**2 - 17*m + 49. What is the tens digit of k(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88 + 147. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -108830*a - 203160*a + 4 + 1278657*a. Let x be i(-12). What is x rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:15 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3103.268 decades to years.\nAnswer: 31032.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 125 = q, -2*k - 2*k - 495 = -3*q. Let o = 170 + k. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 49*o - 272. Let b be u(29). What is the greatest common factor of 84 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-2 + 1)**2*1 + ((3*sqrt(112))**2 - (-3 + (sqrt(7) - (sqrt(28))**2))) + 1.\nAnswer: -33*sqrt(7) + 2833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**2*p**3 + d**2*p**2 + d**2*p + 3*d*p - 3*p**3 wrt p?\nAnswer: -18*d**2*p + 2*d**2 - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*d**2 + 33 - 67 + 33)*(-35 - d - 120 + 31)*(-3*d + 4*d + d) in the form c*d**3 + a*d**2 + g*d + f*d**4 + z and give c.\nAnswer: -4464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 8. Let n(r) = -r**3 + 1. Let q(u) = -8*u**3 + 3*u + 4. Let a(y) = l*q(y) + 4*n(y). Find the second derivative of a(c) wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7356145.2 rounded to the nearest 100000?\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22303 - -22307. Let z = 2 - 3. Let x be -1 - 1\/(z\/(-2)). Sort 3, s, x.\nAnswer: x, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + y - 28 - 0, 0 = 2*x + 5*y - 20. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(-z**2 + 3*z**2 - z**2)*(34*z + 28*z + 21*z).\nAnswer: -83*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}