diff --git "a/data/dm_maths/full_data_1/10930_11255.jsonl" "b/data/dm_maths/full_data_1/10930_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10930_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose a + a = -18. Let o = 15996 + -15992. What is the third smallest value in o, a, -6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -1\/12*s**5 + 19 - 5\/6*s**3 - 5\/12*s**4 - 3*s**2 + 0*s. Let n(g) be the second derivative of q(g). Let n(z) = 0. Calculate z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 112 = -5*s + 3, 2*j - 29 = -s. What is the remainder when (-5112)\/(-45) - (-6)\/(-10) is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -794 - -798. Solve -15*t = -19*t + u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 32 = 16*t. Let j(q) be the first derivative of -8\/3*q**3 + 1\/2*q**2 + 1\/4*q**4 - 5*q - 2. Determine j(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*f + 2876 = -61*f. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077.931 decades in centuries?\nAnswer: 207.7931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 - 70*k**2 - 630*k - 25273. Give t(-36).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 38 = 2*l, 5*l - 3*g + 67 = -22. What are the prime factors of (42\/4)\/((-12)\/l)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2.525357ug?\nAnswer: 0.000000000002525357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -15019.\nAnswer: -15018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nns when three letters picked without replacement from {n: 12, x: 2, s: 3}?\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-10944)\/(-133))\/32)\/((-198)\/(-168)). Factor s*w + 10\/11*w**2 + 8\/11.\nAnswer: 2*(w + 2)*(5*w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -162.5 + 5.5. Let i = -2833.239 + 2676.2319. Let y = b - i. What is y rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*k - k - 108, 2*k - 143 = -3*d. Suppose 67*l - k*l - 9 = 0. What is h in -4\/3*h**4 - 4\/3*h**2 + 0 + 1\/3*h**5 + 1\/3*h + 2*h**l = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326150, 326193, 326236?\nAnswer: 326279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 3795.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(-5) - (-8)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 - -2.6. Is h smaller than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -4601.2612\nAnswer: -4601.7612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 190079640857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(45))*-5 + -5 + sqrt(5)*2 + 1)*-4 + 3 + 6*((3*(sqrt(320) - (sqrt(320) + 0)))**2 + sqrt(320)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*11)\/(-2 - (-65)\/30). What is the highest common divisor of o and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21183 + -42371\/2. Let v = 0.1 + 0.1. Put v, -3\/5, h in decreasing order.\nAnswer: v, -3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1313 divided by 120292.\nAnswer: -1313\/120292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - w - 5. Let h(a) = a. Give 3*h(r) + o(r).\nAnswer: -2*r**2 + 2*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22002012010012 (base 3) in base 12?\nAnswer: -1531395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23 + -3 + 0\/4. Calculate the highest common factor of k and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 2*y**2 - 2*y - 4*y**2)*(-y**2 + 4*y**3 + y**2).\nAnswer: -12*y**5 - 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/27 + (-20)\/9 - 18. Which is the closest to -1\/5? (a) -1\/4 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 2*p**2 - 3*p + 4. Let k be c(-3). Let q be ((-4)\/k + -1)*-1. Let g(y) = -q*y + 3*y + y + 0*y. Let v(s) = -5*s. Determine g(v(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.26, -0.1, 3.\nAnswer: -3, -0.26, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tztqooqqtt. Give prob of sequence zt.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 20, -3*c + 1535 = 4*t + 1546 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34 + (-168469)\/14 - (-2)\/(-4). Which is smaller: -11998 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/((-12)\/(-288)) - -4101 is divided by 1369?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqgjjqdgqqdqyq. What is prob of sequence qd?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.3. Let g = 15 + -21. Let h = g - -7. What is the nearest to h in 0.4, k, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-662 - (1 + 0)). What is v rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -627\/2 + 5645\/18. What is the second biggest value in 1, -0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15371 and 6472.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -772*-0.05.\nAnswer: 38.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3274, -6616, -9964, -13318?\n\"Answer: -3*c**2 - 3333*c + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -19*j - 2330141. Let h = -639 - j. Round h to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 + 0.14. Let y = 5.4 - -147.6. Let f = 153 - y. Put 1\/3, f, c in decreasing order.\nAnswer: 1\/3, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 571 - 565. What is the remainder when 10 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 * 8855.\nAnswer: 20366.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/3, 1, 5\/3 in increasing order.\nAnswer: -1\/3, 1, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(3*6\/45). Let n be (0 + 1)*8 - (-2 - -4). Let s be (-19)\/3 - (g - (-28)\/n). Which is smaller: s or -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -4 - (-8 + (1 + -1 - -2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**24\/s*s\/(s**(2\/55)*s)*s*s*(((s*(s\/(s\/(s\/((s\/(((s\/((s\/(s**(1\/10)\/s*s))\/s)*s)\/s*s)\/s)*s)\/s))*s))\/s)\/s)\/s)**43 assuming s is positive.\nAnswer: s**(-6241\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29776 is divided by 9325.\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*s = -d + 68, 0 = -3*d - 4*s + 196. What is the smallest common multiple of d and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -62, -80, -80, -56?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/336)\/((-6)\/112).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 6*o + 4, 3*a - o = 217. Let z = -65 + a. Suppose z*v - 31 = 473. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*1\/(-9))\/((-16)\/12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s*s\/(s**(-3)\/s))\/s)*s\/(s**(3\/7)*s)*s)\/((s\/(s\/s**(1\/3)*s)*s)\/s*s**8))**(2\/133))**(1\/10) assuming s is positive.\nAnswer: s**(-226\/13965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.8 + 0.8. Let r = -1 - -5. Let m be (6\/48)\/(1\/2). Which is the nearest to m? (a) 0.4 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 5 + 6)*(2*m - m + 0*m)*(-4*m + 5*m + 0*m).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3)*1\/(-2)*-6. What is the hundreds digit of -4*((-8)\/32 + -97 + f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (276\/(-210) - -2) + (-48)\/168?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 728618354?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2, -3, 28\/5 in ascending order.\nAnswer: -3, -2, 2\/13, 28\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 - 23*z**3 - 11*z**2 - 13*z**3 + 53*z**3.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m - m)*(1 + 3*m**2 + m**4 - 3*m**2).\nAnswer: -2*m**5 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 4:03 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**2 + q - 2. Let u be p(1). Let 13*x + 111*x**u - x + 25*x**5 + 338*x**5 + 108*x**2 - 259*x**4 - 335*x**4 = 0. What is x?\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-171)\/(-135) - (-3)\/(-5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88.7 - 58. Let t = -31 + v. Put t, 0, -61 in decreasing order.\nAnswer: 0, t, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 53\/5 of a millennium?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57.9 + -18.\nAnswer: 39.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 18*r + f = -43, 3*r + 21 = 9*f - 21*f for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 25 - 61. Let o(m) = -m**2 - 7*m - 6. What is o(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 115?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 4*j + 5. Let s be w(4). Let p(u) = -7*u**3 - 7*u**2 - 5*u - 5. Let x(f) = 6*f**3 + 6*f**2 + 4*f + 4. Let b(i) = s*p(i) + 6*x(i). Factor b(v).\nAnswer: (v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/596404 and 43\/12.\nAnswer: 1789212","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 17800378807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11404132 minus 5?\nAnswer: 11404127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a - 7. Let d be f(-5). Let j = 18 - d. Suppose -434 + 5 = -39*u. Which is bigger: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3017454, 3017445, 3017420, 3017373, 3017298, 3017189, 3017040?\nAnswer: 3016845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 3311550.\nAnswer: 3311550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 + -2)*(-28)\/(-10). Let s = g - 9. Suppose 40 = s*p - 35. Calculate the greatest common divisor of p and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -1\/6*u**3 - 1\/12*u**4 - 6*u + 0 + u**2. Factor g(n).\nAnswer: -(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.068 - 727.792. Let p = 754 + x. Put p, -2\/7, 0 in decreasing order.\nAnswer: p, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/3))\/(o*o**(-2\/5)\/o))\/(o**(-2\/3))**(-13) assuming o is positive.\nAnswer: o**(-119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quwuwqujuuujwquuu. Give prob of sequence jqqj.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*h + 4 - 27*h - 1 - 14*h**2 to the form z*h + u*h**2 + q and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 0 + 11*g + 1\/2*g**5 + 0*g**3 - 7\/2*g**2 + 0*g**4. Differentiate n(a) wrt a.\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m - 2*m**5 + 82*m**3 - 79*m**3 - m - 2*m**2 wrt m.\nAnswer: -120*m**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 5:19 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000038751 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5771 - 5708. Let y(c) = 1. Let u(a) = 3*a + 21. Give b*y(l) - 3*u(l).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*n + 2*n + 18*n)*((-4 + 0 + 5)*(-n + 2*n - 3*n) + 16*n + 25 - 25) in the form k + h*n + i*n**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*s - 2254745 = -7075982. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(140)\/(sqrt(90) - sqrt(10)))\/sqrt(7))**2 + sqrt(12)\/sqrt(384))*-2 + 3.\nAnswer: 5*sqrt(2)\/4 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 4. Let f be n(6). Let g be (f\/(-6))\/((-2)\/12). What is the least common multiple of 2 and (g\/(-3))\/(1\/(-15))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 3. Suppose 5*d = l + 31, 7 + 6 = -d + 5*l. Suppose 8*p - d*p - 6 = 0. What are the prime factors of g(p)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 3:32 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + (sqrt(153) + -3)*6 + sqrt(153).\nAnswer: -18 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ef (base 16) in base 11?\nAnswer: -836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 712767 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92283427 is divided by 837?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 - -15.2. Let f = -16.5 + u. What is the closest to 0 in -4, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 14 - ((-99)\/(-21) - 3).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/(20\/(-8) - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8708116*k*o*s + k + 9*o*s + 781*o + s wrt k.\nAnswer: 8708116*o*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15758 and -220.15.\nAnswer: 3469123.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 + 9*m + 2. Let t be a(-6). Let z be (-1)\/(-1) + 3 + t. Calculate the highest common factor of z and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*m**5 + 285*m**4 - 2865*m**3 - 7525*m**2 + 14310*m + 18720 = 0.\nAnswer: -13, -3, -1, 2, 48\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 - 68*c**2\/3 - 49729*c\/3 - 49660\/3.\nAnswer: (c - 260)*(c + 1)*(c + 191)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5\/7 - 578*c**4\/7 + 40886*c**3\/7 + 126146*c**2\/7 + 127312*c\/7 + 42632\/7.\nAnswer: 2*(c - 146)**2*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2548645266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 994, 2359, 3724, 5089, 6454?\nAnswer: 7819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -172556.15 less than 1267?\nAnswer: 173823.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 23 = -5*u, 2*r + 2*r - 3*u = 38. Let d(h) = 3*h**3 - 4*h**3 + 2*h**2 + 2*h**2 + 8*h**2 + 11*h - r. What is the units digit of d(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*h**2 + 42*h**2 + 190*h**2.\nAnswer: 328*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 16*u = -10680. What are the prime factors of u?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v - 30. Let a be m(17). Let g be a*(-5)\/(-40)*0. Is -1\/11 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.83 + 0.17. Let d = 8.2 - r. Sort -1\/2, d, 14 in ascending order.\nAnswer: -1\/2, d, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**4\/12 + 2*j**3 + 9*j**2 + 5*j - 4. Let d(q) be the first derivative of w(q). What are the prime factors of d(-13)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11231 is divided by 5564.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -514 and -0.45689959184?\nAnswer: 513.54310040816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2872302*-2.\nAnswer: 0.5744604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 15*c - 102. Let k be (-1 - (-2 + 2))\/(11 - 1092\/98). Give v(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b + 447. Let t be h(63). Let i(z) = -2*z**2 + 2*z + 1. Let u(k) = 2*k**2 - 2*k - 2. Give t*u(m) + 5*i(m).\nAnswer: 2*m**2 - 2*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1228745?\nAnswer: 5, 7, 35107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(88)*3)\/sqrt(11).\nAnswer: 2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*v + 5*m + 102, 5*v - 510 = 3*m. Calculate the common denominator of (-1)\/7*v\/4 and 1\/1*51\/(-66).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-760)\/1710)\/(262\/(-14)) and -55\/393.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-9))\/1 + 10\/90. What is the nearest to -1 in 1\/20, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 329 + -327. Solve -s*j + 5 + 7 = x, 3*x = -2*j + 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 11 = 1. Suppose -a*d = -3*d - 6. Let k = -318 + 327. What is the smallest common multiple of k and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)*s*s*s**(2\/13)\/s)\/(s**(-1\/2))**15)**(-8\/13) assuming s is positive.\nAnswer: s**(-588\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(432))\/sqrt(12) - sqrt(36))\/((sqrt(24) + sqrt(96)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(300) - (sqrt(300)*2 + 0)) - ((sqrt(300) + 1)*-5 + -3*(-1 + sqrt(300))).\nAnswer: 5 + 70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + f + 1. Let g(s) = -15*s**3 - 6*s - 6. What is g(n) + 6*u(n)?\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 424522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110 - -110. Suppose 12*i - 4*i - 624 = l. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -100268, -200534, -300800, -401066?\n\"Answer: -100266*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550624496 is divided by 559?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3095686 is divided by 622?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 6*s**2 + 14*s - 8*s - 4*s + (-s**2 + s**2 - s**2)*(4 - 5 + 3) to the form o*s**2 + k + y*s and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**2\/7 - 395*l\/7 + 262\/7 = 0.\nAnswer: 2\/3, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 16632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3116984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 4*d + 1\/2*d**3 + 0 + 1\/3*d**4 + 0*d**2. What is the second derivative of p(x) wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*r = 306*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 0 - j**2 + 0*j + 0*j**3 + 0*j**4 + 1\/150*j**5. Determine a, given that z(a) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.06962?\nAnswer: -0.006962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 4 = -3*l - 2*h, -30 = 5*l - 5*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 18, a: 1}. What is prob of picking 1 c and 1 a?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197029287.\nAnswer: 269, 4449923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 45932 * -1906\nAnswer: -87546392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + sqrt(84)*4*-2 + (sqrt(84) - (4*2*sqrt(84) + sqrt(84))))\/((sqrt(144) + 5*sqrt(144) - sqrt(144))\/sqrt(12) - (sqrt(12) + -6*-3*sqrt(12))).\nAnswer: 15*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 11*g**2 + 20*g - 50. Let y be c(11). Suppose y = 3*h + 2*j - 297, -4*h + 616 = j. Calculate the greatest common divisor of 85 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 0.105?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105591 is divided by 516?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1015)\/(-406)*(-6)\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.03 + 0.0914884624\nAnswer: 1.1214884624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179706273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 37, 107, 173, 229, 269, 287, 277, 233?\n\"Answer: -z**3 + 4*z**2 + 65*z - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33301920*m**4 - 4572056*m wrt m.\nAnswer: 399623040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4310411320 (base 5) in base 6?\nAnswer: 522305431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w**2 - 17*w**2 + 37*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(684)*-1 + sqrt(684).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fftl when four letters picked without replacement from {c: 2, t: 2, f: 2, l: 1, m: 12, p: 1}.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*l + 9 = 0, -4*l + 32 + 13 = -5*o. Let j(s) = s**3 + 9*s**2 + 3. Let w be j(o). Solve -w*x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 44, -22, -132, -298, -532?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + -1*(sqrt(891) + 1)**2 + 3 + sqrt(891) + -3.\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 12:30 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 27*b**2 + 3 - 54*b**2 - b - 4*b + 31*b**2. Let n be i(-5). Suppose -880 = -5*x - 3*p, -x + 4*p - n*p = -184. What are the prime factors of x?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -33. Suppose -8*s = -x*s + 250. Let b be 16*(2\/(-4))\/((-60)\/150). Calculate the greatest common divisor of s and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 98 = -57*q + 58*q, 5*i - 243 = -3*q. Solve -i = 2*k - 43 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3 - 4)*(-6 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (0 + 2 - -7). What is the common denominator of -32\/3 and 4\/n + (-736)\/(-120)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -3. Let v(q) be the third derivative of q**3\/6 - 8*q**2 + 3*q - 24. Let s(m) = -2*m - 8. Give u*v(t) - s(t).\nAnswer: 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + h + 20, 0 = 4*g + g - 5*h - 20. Solve g = 8*s + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 8*j**2 + j - 3. Let t be n(6). Suppose a = 5*u - 121, -4*u - u + 4*a + 109 = 0. Calculate the highest common factor of t and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m**3 - 30*m**2 - 61*m - 54. Let a(h) = -10*h**3 - 34*h**2 - 60*h - 54. Let o(b) = 5*a(b) - 6*n(b). Factor o(v).\nAnswer: -2*(v - 9)*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111.8 - 83. Let v = t + -29. Which is the nearest to v? (a) -0.2 (b) -0.07 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 + 7 - 7 + 3*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 - (3 - (-1 + 3)). Let n = r + -7. Is 3871\/35 + n\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140819418.7 rounded to the nearest 1000000?\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/3, 8, -2\/3 in increasing order.\nAnswer: -5, -2\/3, 1\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5371 - 10.2?\nAnswer: -5381.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3*322\/92\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) 4\/9 (c) -0.3 (d) 97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -485479 and -0.065.\nAnswer: 31556.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -2) + 6 + -11 + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142 and 20094633.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 220836810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15985 or -0.2?\nAnswer: -15985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6420, 13934, 21448?\n\"Answer: 7514*c - 1094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 13. Factor 2 - 4*l**4 + 4*l**4 + 2*l**4 + o*l + 8*l**3 + 12*l**2.\nAnswer: 2*(l + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -250*y**2. Let i(q) = -22927*q. Determine d(i(s)).\nAnswer: -131411832250*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010 (base 2) in base 10?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from klkzzzqzzzkkzkzzzzq?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u + 0*u)*(0*u - u + 0*u) + 10*u**2 + 20*u**2 + 31*u**2 + u**2 - 3*u**2 + 0*u**2.\nAnswer: 57*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1179*h**2 - 1784*h**2 - 1786*h**2 + 9*h**3 + 4749*h**2 + 5*h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 13*i**2 - i + 8*i - 16*i**2. Let m(v) = -3*v**2 + 6*v. Let r(w) = 3*w. Let q be r(2). What is q*z(f) - 7*m(f)?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-4) - (3 + 450\/(-63) + 10).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 304 and 11622213410.7?\nAnswer: 11622213106.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133 + 132.9721. What is x rounded to 3 decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27128)\/(-336) + (-6)\/36 + (648\/(-56))\/(-27)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 41*w**2 - 4038*w + 4034. What is l(1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/345772 and 37\/424.\nAnswer: 691544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -655, -662, -687, -742, -839?\n\"Answer: -2*o**3 + 3*o**2 - 2*o - 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 92\/(-16) + 10\/(-8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a microgram in nanograms?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 + 1)\/(-3 - -5). Let i(c) = 13*c - 49. Let u be i(h). Solve u*m + m + 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3851.832ml in litres?\nAnswer: 3.851832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 0*(-3)\/(-9). Let f = 0 + x. Suppose -f*r = 105735 + 32265. What is r rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-324)\/(-126) + (-8)\/14. Suppose -23 = -m + 4*u - 9, 0 = -4*m + a*u + 56. Let l(t) = -6*t + m*t - 7*t + 10 + 0*t. Determine l(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 504 by -191.\nAnswer: -504\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*a**3\/4 + 388971*a**2\/4 + 349692420*a - 3858391977.\nAnswer: 3*(a - 11)*(3*a + 21626)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 3*k**2 - 6*k + 11. Let j be o(2). Let f(m) = -3*m**2 + 4*m**2 + j*m**2 + 9*m**2. Let x(b) = 6*b. Calculate f(x(l)).\nAnswer: 468*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1653 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1251765 = 20*v - 13*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7\/942 + 4642\/1413. Calculate the common denominator of -69\/2 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, 1224, 2751, 4898, 7671, 11076, 15119, 19806?\nAnswer: 25143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - n**2 - n + 1. Let i(l) = 2*l**5 - 74*l**4 + 782*l**3 - 1934*l**2 + 1808*l - 584. Let d(m) = i(m) + 6*z(m). Factor d(r).\nAnswer: 2*(r - 17)**2*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.98 - 0.02. Let o = 582.4 + -582. Which is the fourth biggest value? (a) 7 (b) o (c) l (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-8) - 13\/(-4). Let j = -21 + 31. Suppose -g - j = 4*g, -98 = -5*c - g. Solve -t*z = z + c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 323.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 143320 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*d - 7*d + 16*d)*(2 - 10*d + 2 - 2) to the form o*d**2 + r + m*d and give o.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3085760 is divided by 107?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - 171?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3, -2, 1, -7337 in ascending order.\nAnswer: -7337, -3, -2, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 14*s = -257 + 28, 0 = 2*w + 3*s - 45 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (5 - 6 - (-1 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t*t*t**(-2\/17)*t*t)\/t))**(2\/51) assuming t is positive.\nAnswer: t**(-10\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**7\/105 + n**6\/15 + 4*n**5\/5 + n**3\/6 - n**2 - 35. Find the third derivative of y(g) wrt g.\nAnswer: 48*g + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/270 and 14\/1485?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3615532 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + l - 13 = 5, 5*l = a - 15. Let u be ((-11)\/a)\/((-24)\/4). Let n = u - -3\/10. What is the nearest to 4 in -0.5, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**7\/42 + b**6\/30 + b**5\/4 - 5*b**4\/12 - 2*b**3\/3 + 2*b**2 + 79*b + 1. Solve m(k) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -0.016.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.52 + -0.12. Let h = -3 + 3. What is the nearest to -1 in 0.3, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uutk when four letters picked without replacement from {t: 3, o: 8, k: 1, u: 6}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36783 and 141152719.\nAnswer: 4087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*m**4 + 2 + m**3 - 3*m - m**2 - 2 - 24*m**4 to the form r*m**3 + x*m**2 + b*m**4 + v + z*m and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7f - -2?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**6\/120 - t**5\/15 + t**4\/6 + 4*t**2. Let k be l(4). What is the greatest common divisor of k and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 771487*r + 986 = 771545*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*g - 46 + 2910, -5*d + 3579 = -4*g. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t. Suppose 20 = 4*w - 2*y, 5*w = 5*y + 16 + 19. Suppose 108 = 4*b - 4*q, -2*b + b + w*q + 21 = t. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20169877?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 3*u + 10. Let m(h) = -3*h**2 - 4*h - 15. Let p(o) = 8*j(o) + 5*m(o). Let d be p(-4). What is the highest common factor of 35 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 5:11 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -33\/7, 2, 4, -1.3 in decreasing order.\nAnswer: 4, 2, -1.3, -33\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txttkktxxxkx. What is prob of sequence txxk?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.331 + 0.289. Is 1\/4 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496 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 k = -3 + 2. Let x be -1 + -1*(-1)\/k. Let g = -7 + -2. Let p(w) = -w**2 + 9. Let v(s) = -2. Determine g*v(j) + x*p(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*-1*1*(4 + sqrt(300) + sqrt(300) + 0 + sqrt(300) + 1 + 5)*1)**2.\nAnswer: 21600*sqrt(3) + 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36\/47? (a) -0.4 (b) 3 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 19, 31, 47?\n\"Answer: 2*o**2 + 2*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5876 and 0.4.\nAnswer: 5876.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4014838?\nAnswer: 2, 277, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.22 - -0.22. Let v = -628\/5 + 125. Which is the nearest to 1? (a) 4 (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1.72.\nAnswer: -0.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1836310876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**4 - 2*d**3 - 229613*d**2 + 4050223*d wrt d?\nAnswer: 12*d**2 - 12*d - 459226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/((-1)\/((-10)\/6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3238, 3210, 3186, 3166, 3150, 3138, 3130?\nAnswer: 3126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1 (b) -0.3 (c) 5 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 9514674.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - w**2 - 9. Let h = -43 + 79. Let c = 36 - h. Calculate x(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -548347668 divided by 3.\nAnswer: -182782556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9047 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -5*b - 19, 2*s = 4*b + 3 + 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*m - 4 + (2 - 2 + m)*(0 - 2 + 1) - m + m - 2*m + 4*m + 5*m - 3*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -31 + 11, -2*p + 4*c - 6 = 0. Suppose p*v = -9 + 16. Solve -4*d = -5*d + v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1361.4 + -1364.4. Which is the nearest to -18? (a) u (b) 4 (c) -0.025 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.51 + 0.18. Let g = 2773.612 - 2773. Let q = g - c. Round q to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 7:16 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 903473\nAnswer: -18069.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*c - 18 = -380*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -s + 20, -4*s - 27 = 2*r - 197. Calculate the highest common divisor of 100 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1450\/3? (a) -5 (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 281826\/3978 + (-45)\/3. Factor 2\/13*f**3 + 2662\/13 + c*f + 66\/13*f**2.\nAnswer: 2*(f + 11)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/25479 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 2 - 9*k + 3*k)*(-7110 + 38*k + 7110)*(k - k - k**3).\nAnswer: 76*k**5 - 76*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 12:19 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 3*l - 2. Suppose 7*j - 35 = 2*j + 5*u, 0 = -3*j + 5*u + 21. Let d be c(j). What is the first derivative of -4*b**3 - d*b + 1 + 26*b wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*g + 4 + 8086*g**2 - 16174*g**2 + 8087*g**2)*(-4 + 1 + 2).\nAnswer: g**2 + 27*g - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036983 to 5 decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + 3*k**3 - 4*k**3 + 0*k**3 - k**3 + 0*k**3 + (3*k**2 + k**2 - 3*k**2)*(-k + k - k) + (-k - 2*k - k)*(41*k**2 - 22*k**2 + 57*k**2).\nAnswer: -308*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(78\/12))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvokpuvovloookvovolk. What is prob of sequence oovp?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -293, 5, -3, -171 in decreasing order.\nAnswer: 5, -3, -171, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -103*r**3 + 10*r**2 + 11*r - 7. Let j be o(-9). Suppose -20*a + a + j = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3))\/((-11)\/(-99)). Put 4, -1, r in decreasing order.\nAnswer: 4, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-23))\/(170\/(-1955)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9855\/11 - -896. Which is the closest to -1? (a) y (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13276690 and -137230.\nAnswer: 13139460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -232*b + 233*b - k, 0 = 3*b + 2*k + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*x - 84 = 2*f, 0 = f - 3*x + 12. Let o = 3 + f. Calculate the remainder when (-6)\/o + 234\/14 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 136500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 72 + -77 + (-1 - 2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 19. Let o(f) be the third derivative of -1\/6*f**4 + i*f + 1\/105*f**7 + 1\/30*f**6 - 1\/3*f**3 + 2*f**2 + 0*f**5 + 0. Factor o(r).\nAnswer: 2*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1492.\nAnswer: 4476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149924.\nAnswer: 2, 37, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 - 79. Let v be 1 - m - 1*(-2)\/(-2). What is the second smallest value in 0.09, v, 0?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 41*k - 1. Let i(z) = -566 + 586 - 5*z - 4*z. Let h(s) = 55*s - 125. Let o(u) = 4*h(u) + 25*i(u). What is b(o(d))?\nAnswer: -205*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, -4, -10, -12, -10, -4, 6?\n\"Answer: 2*k**2 - 16*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -850627, -850634, -850641?\nAnswer: -850648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3980737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 5*m**4 - 7*m**4 - 2*m + 0*m - 12*m**3 + m + 4*m**2 + m**4 to the form a*m**2 + j*m**3 + c*m + r + u*m**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + m + 1. Let p(j) = -16*j**3 - 1. Give -a(i) - p(i).\nAnswer: 17*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 16*x - 13. Give k(16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 755*c**3 + 125*c**2 - 745*c + 50. Let f(q) = 63*q**3 + 10*q**2 - 62*q + 4. Give -25*f(z) + 2*l(z).\nAnswer: -65*z**3 + 60*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1125 and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35889, 36667, 38045, 40029, 42625, 45839?\nAnswer: 49677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 40 = -6*v. Suppose 9 = 3*l + 5*w, -12 = -5*l + 2*w + 3. Calculate the remainder when v is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + -25 + -12 - -13) + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3\/2 + 373682*o**2 + 69828833280*o + 3630088964736 = 0. Calculate o.\nAnswer: -373656, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3741795 is divided by 1247190?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -27*1172\nAnswer: -31644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 13*j**5\/20 - j**4\/12 + 25*j**3\/6 + 28*j**2 - 1. Is h(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 2, -3*b - 4 + 8 = 4*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -10*x**3 - 8*x**2 - 10*x - 59. Give f(-4).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h**3 - 2*h**2 + 2*h + 3. Let g be 52\/91 - (-11)\/(-7). What is the remainder when 52 is divided by y(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*c, -b = -0*c - 4*c. Let w(k) be the first derivative of k**2\/2 + 13*k - 1. Calculate the remainder when 38 is divided by w(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -1\/3 (c) -41842 (d) 0.2 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -2 - ((-48 - 26) + 61).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12248 + 24503 - 12255 + 166*q**2 to the form u*q + d + r*q**2 and give r.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44069 or 0.4?\nAnswer: 44069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1, 2.\nAnswer: -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -111) + -118 - ((-9 - -13) + (0 - -4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (12 + -9 - -12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 7:55 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 + 21379272 + 21379120 - 42758392.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 24 = 19*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32857.\nAnswer: 11, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11187 - -11187.3. Which is the biggest value? (a) u (b) 7 (c) 2\/51 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 287 - 284. Which is the nearest to -1? (a) 4 (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6a1 + -2734?\nAnswer: -2073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22223293, 44446600, 66669917, 88893250, 111116605?\nAnswer: 133339988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 22 = 3*x - u, 0 = -4*x - u + 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 4408*g**2 - 13069*g - 480. What is n(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s + 8 = 0. Let o = -1 + s. Find the second derivative of -3*h**4 + 4*h**3 - 4*h**o + 0*h - h wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00796091587 to 6 dps.\nAnswer: -0.007961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 19 - (-6 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11*x + 30. Determine q(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28326 is divided by 289.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.0027 + 3.7027. Which is the closest to -0.355? (a) 5 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/10 and 63\/166.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 5, -1 in increasing order.\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 3*t - 4*t)*(-7 - 21 - 5) - 4 + 4 - 2*t.\nAnswer: 31*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Suppose 3*z - 124 = 2*z + 2*j, -3*z + j + 362 = y. What is z rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d**3 + 13*d**3 - 10*d**2 - 21*d**2.\nAnswer: -5*d**3 - 31*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109.83 - -110. Let w = o + -0.091. Round w to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-7)\/(-56)*-4)\/((-135)\/(-182)) and -38\/45.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 28.730886 months?\nAnswer: 2.3942405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(68\/(-17))\/((-36)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 275638*l. Let i(q) = -583*q**2 + 1. Determine g(i(v)).\nAnswer: -160696954*v**2 + 275638","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 11:23 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdd when three letters picked without replacement from {h: 10, d: 4, g: 6}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 15*h + 17. Let m be k(8). Let g(v) be the first derivative of 3*v**3 - 2*v**2 + 2*v + 3. Is g(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 581535*i - 256452378.\nAnswer: -3*(i + 442)*(i + 193403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -290675577\/2 or -145337788?\nAnswer: -145337788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -8732\/1463 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1917460*p**5 + p**2 + 727199.\nAnswer: 115047600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((42 - 18) + -32 - (0 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 6*p - 16. Let w be m(-8). Are w and -2\/27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/((-54432)\/(-234)))\/(5187\/1064)\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60 + 14*o**3 + 60)*((0*o - 5*o + 2*o)*(-4 - 2 + 1) + 0*o + 4*o - o) to k*o + s*o**4 + r*o**2 + l + n*o**3 and give s.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*b = -22*b - 567 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 times 7?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3118541?\nAnswer: 3118541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -395 - -400. Let t(m) = -2*m - 78. Let z be t(-38). Let r(v) = -3*v**2 - 3*v - 3. Let d(j) = -j**2 - j - 1. Give g*d(k) + z*r(k).\nAnswer: k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2104.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -26643.50543 rounded to the nearest integer?\nAnswer: -26644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -472, -956, -1608, -2428, -3416, -4572?\nAnswer: -5896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5061 greater than 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -669251d?\nAnswer: -6692517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7 + g + 3 + g**2 + 10*g. Let r be a(-9). Is 4\/r - (-43)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2841, -5684, -8527, -11370, -14213, -17056?\nAnswer: -19899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c - 1. Let x be o(-2). Let h(k) = 7 - x*k + 7*k**2 - k**2 + k**3 - 2. What is the remainder when h(-7) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/5694210 and 68\/2214415.\nAnswer: 39859470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 779536 and 2324.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -73? (a) 4 (b) -0.1 (c) 0.136 (d) -4 (e) 7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 746215, 14, 4 in increasing order.\nAnswer: 2, 4, 14, 746215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3431 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3 (b) 2\/5 (c) -7 (d) -5\/2 (e) 1\/8 (f) -2\/19 (g) 74.272\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4 - 8. Let t = -4 + 2. What is the common denominator of -37\/24 and t*j - (-125)\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6180 and 11430?\nAnswer: 2354580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 35112 = 5676. Suppose 2*x = -5*r + 3*r - o, 6804 = -x + 2*r. Round x to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26877640, 26877642, 26877644, 26877646, 26877648?\n\"Answer: 2*u + 26877638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 653520?\nAnswer: 653520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/12228 and 15\/28.\nAnswer: 85596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9491856 to 1 dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7600 or -7601?\nAnswer: -7600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -38250000 to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4406 - -4388. Let i(t) = -61*t**2 - 5*t + 9. Let w(d) = -15*d**2 - d + 2. Give h*w(x) + 4*i(x).\nAnswer: 26*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/(i**2\/i)*i)\/i*i\/(i\/i**(2\/3))*i)\/(i**(-1))**(-9\/10))**(1\/43) assuming i is positive.\nAnswer: i**(53\/1290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x - 2 = -39*x. What is the units digit of x + -10 + 8 + (513 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -12*m**2 + 2537*m + 222144. Determine c(278).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -17*v**4\/6 + 2*v**2 + 71*v. Let g(t) = -89*t + 2. Determine g(b(f)).\nAnswer: 6052*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.24 from 890279.\nAnswer: 890279.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23444?\nAnswer: 2, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(27\/4)\/(g*g**11)*g\/(g*g**33*g)*g**(3\/23)*g)**(-1\/2) assuming g is positive.\nAnswer: g**(3507\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 451*t**3 + 227*t**2 wrt t?\nAnswer: 2706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/21 - 0)\/(2\/(-10458)). What is the highest common factor of y and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 19 = 4*u - 0, -x - u = 6. Let t(j) = -j - 1. Let y(c) = 3*c + 4. Determine x*y(q) - 5*t(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odo when three letters picked without replacement from ooodoooooooooooooo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeon when four letters picked without replacement from oeenooeoeeeee?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 3*o**2 + 5*o + 6. Let l be c(-4). Suppose 3*x + 0*w = 5*w - 19, 0 = 2*w + l. What is the common denominator of -89\/10 and 19\/x*(-8)\/(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is bba - -b1?\nAnswer: 10ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864 is divided by 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 7*g**2 - 41*g + 16. Let b(l) = l**3 + 6*l**2 - 42*l + 16. Let i(o) = 5*b(o) - 6*p(o). List the prime factors of i(-15).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 76 + 4 - 18 = 4*o - 14, 0 = 7*q + 2*q for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 118459*z. Let g(b) = -183*b + 3. What is g(x(h))?\nAnswer: -21677997*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.3, 0.3, 20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 74*s + 469. What is b(-7)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -729, -1090, -1407, -1662, -1837, -1914, -1875?\n\"Answer: 3*s**3 + 4*s**2 - 394*s - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9100\/728*4\/425. Let p = -0.9 + 0.8. Which is the nearest to p? (a) 2\/9 (b) l (c) 0.6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 49 = 2*v, 313 - 168 = 5*r + 5*v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(120)\/sqrt(10) + -5 - ((sqrt(2304)*4 - sqrt(2304) - sqrt(36))\/sqrt(12) + -5)) + 3.\nAnswer: -21*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 214323117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 1\/3, 0.19, 3, -4?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17027697 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 60*d**3 + 3*d**2.\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p + 6. Let a(o) be the first derivative of o**2 + 3*o - 18. Determine -5*a(u) + 2*y(u).\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.7 + 1.7. Let i = v + 10.7. Which is the nearest to 1\/4? (a) 2 (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*c + 4, -3*w = w - 4*c + 4. Let o = 47 + -41. Let v = o - w. Solve -5*h - 3*s - 12 = 2, -3*h + 3*s = -v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 746*((-3)\/(-6))\/1. Let r = j - 260. Suppose -332 = -5*h + r. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*x**2 + 130*x - 69.\nAnswer: (2*x - 1)*(8*x + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/2 - (-17 - -16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -1\/112*n**8 + 0*n**3 + 0*n + 0*n**4 + 0*n**6 - 5*n**2 - 1\/20*n**5 + 0*n**7 + 0. What is the third derivative of u(q) wrt q?\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 - 11 - -65 - (9 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 20*a. Let g(p) be the first derivative of 4*p**3\/3 - 296. What is g(y(n))?\nAnswer: 36*n**4 - 480*n**3 + 1600*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/27)\/(x**(1\/23)\/x)*x**(1\/13)\/x**(-8\/3) assuming x is positive.\nAnswer: x**(30469\/8073)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**8\/3360 - u**7\/630 - 11*u**4\/12 + 2*u. Let l(z) be the third derivative of w(z). Factor l(i).\nAnswer: -2*i**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + 118 - 16 = 0. Solve 13 - 25 = w*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (1*-22 + 1). Suppose -6 = 4*u - q, u + 1 = 2*b. Solve b*y**3 - 5*y**3 + 2*y**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, -2\/2111, 3, -2?\nAnswer: -2\/2111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 11. Sort x, 2, -1\/3 in decreasing order.\nAnswer: 2, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1040 - 1047 - 11*1\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 695 divide 6151224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 35 = -79*p + 71*p, -3*x = 4*p - 23 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luu when three letters picked without replacement from ueveveuetevuvvlvle.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3)*t)**(-14\/5)\/(t**(-13)*t**8))**1 assuming t is positive.\nAnswer: t**(47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7807 = 168*p + 761 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265349?\nAnswer: 7, 37907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 642 - 646. Let k = 0.1588 - 0.0188. Sort -0.07, k, 3\/5, w.\nAnswer: w, -0.07, k, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 + -72 - (-725 + 839 - ((7 - 1) + 0))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 - 76.025. Let n = -1 + r. Let o = n - 0.01. What is o rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*t - 8, 3 = -5*f + 5*t + 28. Suppose 3*z + 10 = 1. Let d be 2 - f - z\/2. Which is the nearest to d? (a) -4 (b) 2\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32820069 is divided by 920?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 0. Let y = d + -0.3. Let i = 4.428 - 4.828. Which is the smallest value? (a) y (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.176 - -0.0887164.\nAnswer: -12.0872836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.411 + 8.211. Which is the smallest value? (a) 0 (b) 14 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/27? (a) -5\/2 (b) 3 (c) 1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvzp. What is prob of sequence jz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**2 - 3*q + 15. Let w be v(3). Let g(a) = -31*a - 13. Let j(c) = -5*c - 2. What is w*j(i) + 6*g(i)?\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-6580)\/(-40) + 2\/((-8)\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(6*(1 + (sqrt(320) + 0 + sqrt(320))*-6)*1 + 2)*2)**2.\nAnswer: -147456*sqrt(5) + 26543104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -78082, -156227, -234370, -312511, -390650?\n\"Answer: z**2 - 78148*z + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3550\/(-497) - (1560\/(-91) - -17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 + 1709072*q - 854417*q - 854655*q.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/(-30)*(28 - -2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9894.62 kilograms?\nAnswer: 9894620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-4 + 7 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 + 1.6. Suppose 2*j = -156 + 370. Let r = 317\/3 - j. Which is the biggest value? (a) 1 (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 - 2*n + 3. Let k(m) = m**2 - 7*m - 2 + 0 + 6*m + 2*m + 0*m. Determine 7*k(u) + 4*o(u).\nAnswer: -u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-4))\/(3\/(-2)). Which is the third smallest value? (a) -3\/8 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u - 9. Let b(w) = -w**2 - 10*w - 10. Let i be b(-8). Suppose 34 = 2*r + i. What is the remainder when x(6) is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/26*4\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f**5 + 39*f**4 + 33*f**3 - 39*f**2 + 3*f = 0. Calculate f.\nAnswer: -1, 0, 1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -78527, -78502, -78477, -78452, -78427?\n\"Answer: 25*i - 78552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10554 and 1992?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, -1, 613?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -36 (b) -0.1 (c) -132 (d) 1\/6 (e) -0.02 (f) -0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**5 + 2*p**3 + p**2 - 1. Let n(c) = 25*c**5 - 71*c**4 + 345*c**3 - 183*c**2 - 594*c - 6. Let s(h) = 30*j(h) - 5*n(h). Let s(k) = 0. Calculate k.\nAnswer: -1, 0, 3, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfqt when four letters picked without replacement from {f: 1, d: 1, t: 1, q: 4, p: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6068*c - 449053. Determine l(-74).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1451893121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -3863073.\nAnswer: -4\/3863073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1477977*f**3 - 5*f**2 + 3*f**2 + 2*f**2 - 1478223*f**3.\nAnswer: -246*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -226*g - 48 wrt g.\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 36*s - 273 = -39*s. Solve a = s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8061 = -11*h - 8237 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 h, and 1 s when four letters picked without replacement from {n: 3, s: 1, u: 2, j: 7, h: 1}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19 + (-10 - (-6 + -1)). Suppose 63 = 3*j - 369. What is the highest common factor of j and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168490*z**5 + 77908*z + 1?\nAnswer: 3369800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -605, -576, -499, -350, -105, 260, 769?\n\"Answer: 4*c**3 + c - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 = -v. Let k = v - 0. Suppose 2*f = 3*u - k*u + 168, -4*u - 162 = -2*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 - 30080*u**2\/3 - 60154*u\/3 - 30076\/3.\nAnswer: -2*(u + 1)**2*(u + 15038)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.16 - 0.54. Let p = -0.4 - x. Is -2 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4529382 to the nearest integer?\nAnswer: 2128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 523822 + 395928 = 0. Round v to the nearest one thousand.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.56 to one decimal place.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -38*x + 64. Let a be h(-6). Let o = a - 292. Is 2\/571 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 6:15 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1. Let l = 0.29 + 0.21. What is the nearest to k in 5\/3, -3\/4, l?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/2)\/(o\/(o*o\/(o\/(o\/((o**(1\/11)\/o)\/o)))*o))*o**(3\/11)\/o**(-2\/7) assuming o is positive.\nAnswer: o**(457\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-156)\/16)\/(-13))\/(2*(-1)\/16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -2\/9, -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117.2 - -117.5. Does 21.4 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.4495095 micrometers?\nAnswer: 449.5095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**2)*f**1*f)**2 assuming f is positive.\nAnswer: f**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**4 - 525*a**3 - 12897*a**2 + 35385*a + 1914000 = 0.\nAnswer: -145, -25, -16, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 4, 1\/24, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 1175*a**6\/6 - 53*a**3\/6 - 6*a**2 + 4509*a. Find the second derivative of g(n) wrt n.\nAnswer: 70500*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -246250 in 2\/7, 3, -5, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*((0 + 5 - 4)*(2 + 3 - 4) + 0 + 6 - 4)*((-2*m**3 - m**2 + m**2)*(-4*m + 2*m + 4*m) + 11*m**4 - 8*m**4 + 12*m**4).\nAnswer: -33*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/2*6148776\/(-18) - 2. What is a rounded to the nearest ten thousand?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220013312 (base 4) in base 11?\nAnswer: 430418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 807*k**2 + 8*k - 3. Let j(f) = 2423*f**2 + 21*f - 8. What is -3*j(g) + 8*v(g)?\nAnswer: -813*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-72)\/45)\/((-2)\/5). Suppose j*y - 15 = -7. What is the third derivative of 21*p**3 + 16*p**3 - 14*p**y + 11*p**3 - 44*p**3 wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.058 - -0.058. Which is the nearest to -2? (a) 0.2 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*b + 1306, 17*w = 14*w + 4*b + 1952. Is 36 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/2 - (-7 - -1). Suppose -u*a + 46 + 19 = 0. Let z = -7 + 14. What is the remainder when a is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -2, 41, 102, 181, 278?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.83216 rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 10)*(-1 - 1 + 1)*(20 + 12*t**3 - 20).\nAnswer: -84*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39d + -10895?\nAnswer: -104f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24540 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 221334016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzzzjjzzj. What is prob of picking 2 z?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3871711 by -79.\nAnswer: 49009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {i: 1, t: 4, u: 3, q: 12}.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*d**3 - 18*d**3 - 28*d**3 + (d**2 - 3*d**2 + 0*d**2)*(d - 3*d + 0*d) to l*d + f + c*d**3 + q*d**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (132\/34 - 3). Let u be 1\/((-3)\/6) - 1. Let k be (-2)\/(-10)*(u + 2). What is the closest to -1 in b, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 620310.6 millimeters?\nAnswer: 0.6203106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -22*v**2 - 453*v + 430. What is m(-22)?\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13 + 12)\/(-3))\/((-2)\/10)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240224 is divided by 60052?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -10 + 23 + 6*f + 34 + 4*f. What is the remainder when 48 is divided by r(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703550*w - r + 6 = 703545*w, 0 = 5*w + 2*r - 87 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (182688\/120)\/(-4*2\/(-20)) is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 17*c - 32 = -19*c, -4*d + c - 93 = 0 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 514925 - 514874. Let x be 1*(-1 + 6\/4). Which is the closest to 0.1? (a) y (b) x (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 486, 475, 456, 429, 394, 351?\n\"Answer: -4*t**2 + t + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 24?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.053283 times -0.03\nAnswer: 0.00159849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 - -386?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -2*h**7\/105 + h**6\/10 - h**5\/5 + h**4\/6 - 3*h**2. Factor g(c).\nAnswer: -4*c*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.084+2077846169525\nAnswer: 2077846169524.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 6*x + 4. Suppose 4*c - 12 = -36. Let u be s(c). Solve -u = -2*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 4*d - 1. Let r be o(-4). Let n = r + -28. Suppose -4*p + 3*p = -y + 2, n*p - 4 = y. Solve -4*c = y*v - 3, 3*v = 5*c + 8*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -325*a - 55. Let z(u) = -325*u - 54. Let m(r) = -5*n(r) + 4*z(r). Differentiate m(q) with respect to q.\nAnswer: 325","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*d, -7*o + d = -2*o - 3443. List the prime factors of o.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -46. Suppose -j*o = 48 + 12. Let g = -6 - o. Solve z + k + g = 0, -9 = 3*k + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2478*s**2 - 6060*s**2 + 3581*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {u: 2, z: 1, a: 4, e: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -10*t**2 - 2*t + 1. Let c(l) = -l**3 + l - 1. Determine -2*c(v) - q(v).\nAnswer: 2*v**3 + 10*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3999 = 547*i - 418*i for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(-1\/3)\/n)))\/n**1*((n**(-1)*n)\/n*n)**(1\/7)*(n**(-5\/2)\/(n\/n**6))\/(((n\/(n\/(n**(-4)*n)*n)*n)\/n)\/(n\/(n\/(n*n*n**(-5)*n)))) assuming n is positive.\nAnswer: n**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14) + 190\/70. Let z = -2 + n. Let s(c) = 2*c**3 + c. Calculate s(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27347502?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 229 * 15.7618.\nAnswer: 3609.4522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d + 3. Let f be p(0). Suppose -6*b + b - 5 = 0, -f*c - b + 83 = 0. What is the remainder when c is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1256255 divided by 96635?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6d14e (base 15) to base 16.\nAnswer: -54f14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**4\/9 + 76*r**3\/9 - 16*r**2 = 0.\nAnswer: 0, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*1 - (2 - 11\/(-11)). Let o(u) = -u - 1. Let y(m) = -4*m + 2. Let h(r) = b*y(r) - 3*o(r). Let d(n) = 105*n - 28. What is -5*d(p) + 28*h(p)?\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 1\/(-2))*402. Let y be p\/117 + (-2)\/13. Solve -4*q - 22 = 3*b + q, -y*b = q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2\/21 (c) 0.5 (d) 0 (e) 1\/6 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2380\/180 - (15 + -2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-130 + 100 - 79 - 260)*(-z + 2*z - 2*z) to the form s + v*z and give v.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01206 rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3200.01 to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 + 77. What is the biggest value in 2, 2\/5, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -283 - -5?\nAnswer: -27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -283.76 + -31720\nAnswer: -32003.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -252500 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.217485 centuries to millennia.\nAnswer: 0.0217485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 3 (c) -6167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.001587*0.05506\nAnswer: -0.00008738022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26553, 53147, 79751, 106371, 133013, 159683, 186387, 213131?\n\"Answer: m**3 - m**2 + 26590*m - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 204567987?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4887\/5 + 976. What is the third smallest value in 7, d, -2\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o - 12*o + 55*o)*(-3*o + o**2 + 3*o) - o**3 + 4*o**2 - o**3 - 2*o**2.\nAnswer: 31*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*m = 8*m - 27 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 6*w**2 - 4*w + 5. Let k be x(6). Let h = k - -93\/5. Sort 0.4, h, -15 in ascending order.\nAnswer: -15, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 1416?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/(-30))\/(1\/(-6999)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19865*a**4 - 14738.\nAnswer: 79460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 9*a**2 + 6*a + 1. Is 11 a factor of b(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/8 (b) 4\/3 (c) 1\/7 (d) -1\/4 (e) -13.76 (f) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -111*g + 58. List the prime factors of i(-8).\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/25 (b) -3 (c) 0.4 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32, 63, 230, 475, 804, 1223?\n\"Answer: o**3 + 30*o**2 - 2*o - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1859*z + 26256 = 1181*z - 1510*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233, 248, 263, 278, 293, 308?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-7)*(i\/(i**(-8)*i))\/(i\/(i**6*i))*((i*i**(-3)*i*i)**(-1\/70))**(3\/8) assuming i is positive.\nAnswer: i**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/5)\/(y*y*y*y*y**5*y)*(y*(y**(1\/4)\/y)\/y)**(2\/119) assuming y is positive.\nAnswer: y**(-11201\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 - r - 8*r**2 + 0*r**3 + 5*r**2)*(-r**2 + 0*r**2 - 2*r**2).\nAnswer: 6*r**5 + 9*r**4 + 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 7*q + 9. Let f be w(5). Let j(a) = 27*a**2 + a - 2. Calculate the least common multiple of 22 and j(f).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, 0.1, -4, -14?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -281*r**2 - 256*r**2 + 525*r**2 - 1 + 41*r + 3*r**2 - r**2 + 3*r**2 + (4 + r - 4)*(3*r - 4*r - r) + r - r + r**2.\nAnswer: -8*r**2 + 41*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18262492?\nAnswer: 2, 4565623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 13 = -w. Let h = 2 - 14. What is the remainder when w is divided by (-4)\/h*(2 + 37)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 13*m**2 - 10*m - 20. Let f be l(14). Let t be 10\/(-35) + f\/(-21). Let p = -6 + -12. Which is greater: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378079104 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -34, -2\/1093, -1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-21)*(-105)\/28?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 879 - 275 = -4*v. Let d = v + 156. Solve 3*b - 2*b + 20 = d*k, 5*b - 35 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/35360 and -83\/2080?\nAnswer: 35360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-5))\/6*(561\/55)\/(-17)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3514198\/1114569 + -8\/18891. Which is smaller: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkb when three letters picked without replacement from uqbubkb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(405).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-528)\/16 - (-9367)\/285?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 883*b - 839*b - 256*b**2 - 44*b + 252*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 166714 times 0.4?\nAnswer: 66685.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 34 = -9. Solve -2*h + 16 = d*t, -4*h + 3*h + 3 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 658 = 4*l - 2563, -3*g + 4*l = -1929. What is the remainder when g is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 15 = f, 289 = x - 2*f. Let a = -88 + 119. Calculate the greatest common divisor of a and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**3*s + 2*p**3 - 33*p**2 + 51*p*s + 2*p wrt p?\nAnswer: -6*p*s + 12*p - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318 = 122*n + 1050 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95793 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -11. Let n(s) = s + 6 + 3*s + t*s + s. Let j(f) = -4*f - 3. What is -5*j(q) - 3*n(q)?\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 205 + -220 + (-1 - -14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 2*l - 59. What is the nearest to l in 2\/9, 0, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, -0.2, 41?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*y + 61*y = 259 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21072, -42292, -63738, -85524, -107764, -130572, -154062, -178348?\n\"Answer: -19*t**3 + t**2 - 21090*t + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*h - 4. Let y = 8 + h. Suppose 0 = -3*u - 4*o - 2, 2*o - y + 21 = u. Solve s - 3*s + u = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f + 20*f - 105. Suppose 366 - 54 = f*x. Calculate the remainder when x is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -8*y**4\/5 - 44*y**3\/5 - 88*y**2\/5 - 76*y\/5 - 24\/5 = 0.\nAnswer: -2, -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1732748 by 2.\nAnswer: 866374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 2. Give u(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.632319 years in millennia?\nAnswer: 0.005632319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + o)*(o - 2*o + 2*o) + 2*o**2 - o**2 - 23*o**2 + 4*o**2 + o**2 - 3*o**2)*(-3 + 2 + 4)*(11*o**3 + 12*o - 24*o**3 + 12*o**3).\nAnswer: 57*o**5 - 684*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23)\/12*(-2670)\/30705. Factor 1\/6*t**3 + 1\/2*t - l - 1\/2*t**2.\nAnswer: (t - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 6840933, 2 in increasing order.\nAnswer: -14, 2, 6840933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/6 + a**3 + a**2\/2 - 8*a\/3 - 2.\nAnswer: -(a - 6)*(a - 2)*(a + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 93\/12 + 9\/(-12). Suppose a*h - 11*h = 0. Is -1 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 10415584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 12*q**3 + 87*q**3 - 5*q**3 to the form u + n*q**2 + s*q + d*q**3 and give d.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 71684364\nAnswer: -4301061.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25764.\nAnswer: 2, 3, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11033 (base 14) in base 3?\nAnswer: -2002112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(0*m - 4*m + 2*m) - 16*m + 24*m - 1 + 9*m.\nAnswer: 21*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 3)*(0 + 3 + 3) - 2 + 3 - 3)*(5*j**3 - 7*j**2 + 7*j**2).\nAnswer: -70*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**2\/(((u*u**6*u)\/u*u*u)\/u)*((u\/u**(-1\/4))\/u*u)**(1\/24) assuming u is positive.\nAnswer: u**(-571\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (21*108\/189)\/((-15)\/40)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 13 = -m. Let k = m + 29. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -14, 3\/4, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1513 divided by 89.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 + 644 + 570 - 3*p**2 - 7360 to the form j + n*p + s*p**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31075939.415 minus 0.08626?\nAnswer: 31075939.32874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4345 at least as big as 3556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62705055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -377*d**3*o**2 - 3*d**3*o + 38*d**3 wrt o?\nAnswer: -754*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 164143784 divided by -5862278\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 35060.39l?\nAnswer: 35060390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 665 and 2090.\nAnswer: 14630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*y + 6, -3*y - y - 2*b = 4. Let t be -11 + 9 - (y + 0). Let w be 10\/4 - 0 - t\/4. Sort -6, w, -5.\nAnswer: -6, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 1\/7, -1\/6, 29 in increasing order.\nAnswer: -1\/6, -2\/17, 1\/7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 0*d**3 - 1\/30*d**5 - 1\/70*d**7 + 0*d**4 + 0 + 0*d - 1\/24*d**6 + 2*d**2. What is z in x(z) = 0?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/24)\/(m**(2\/25)*m) assuming m is positive.\nAnswer: m**(-673\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213233 + 1130?\nAnswer: 214413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 8*p**2 + 10*p - 9. Let o be d(7). Let v(n) = -3*n**2 + o*n**2 - 7*n**2. Let c(y) = 9*y. Calculate c(v(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12390 or -11957?\nAnswer: -12390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 152911 times -1.2?\nAnswer: -183493.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72 - 10) + -30 + 16 + -18.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 9*b - 10. Let l be d(-11). Let k = l + -12. Suppose -3*u = -3 - 12, k = -3*w + u + 10. Solve -37 = -w*g - 4*h, -3*g + 27 = -0*h + 4*h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 10*p**2 + 7*p + 22. Let c be t(9). Let o be 0*c\/(-8)*-1. Suppose 2*d + j - 18 = 0, 2*j = -3*d - o*j + 28. Solve -d = -x - x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-11\/3))**24*m**(2\/69)\/(m*m**(-2)*m) assuming m is positive.\nAnswer: m**(7730\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -369345*n**2 - 2954750*n + 80.\nAnswer: -5*(n + 8)*(73869*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(15) + 6*sqrt(75)\/sqrt(5)))\/(sqrt(108) + 5*-2*sqrt(108) - sqrt(108)).\nAnswer: -7*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2146 (base 7) to base 13\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00104986 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1733798 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g - 32. Determine v(-4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 81, 488, 1155, 2076, 3245?\n\"Answer: -d**3 + 136*d**2 + 6*d - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + -3 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2502 - 5?\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29310*q**3 + 86177*q**2?\nAnswer: 175860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 3*s - 89, 3*b - 742*s - 42 = -748*s for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -594 (base 16) in base 12?\nAnswer: -9b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 229 and 42823?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 14 = 18. Suppose -4*l + 48 = -g*w, 3*w = 4*l - 2*w - 48. Which is the third biggest value? (a) 0.1 (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -16. Let w = -33 - -56. Suppose 4*g + 2*o = 72, 25 = 2*g + 4*o - w. What is the least common multiple of j and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -3 - (8 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7507 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**8\/14 + 8*n**7\/105 - 191*n**5\/15 - 3*n**2 + 83*n. Find the third derivative of f(l) wrt l.\nAnswer: 1440*l**2 + 384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90276 is divided by 12581.\nAnswer: 2209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101010010010011101 (base 2) in base 6?\nAnswer: 22541101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -540*h + 268*h + h**2 + 263*h + 0*h**2 - 2 - 7. Calculate m(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 3. Let q be t(5). Let j be q\/8 - (-1985)\/20. What is the greatest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**10*k**(-10)*k*k**14*k**5 assuming k is positive.\nAnswer: k**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12718963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 9*c. Solve c*k = k + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.24 - 9. Let h = -0.46 - u. Put h, -15, -2\/11, -0.4 in decreasing order.\nAnswer: h, -2\/11, -0.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1260*n - 1346*n + 45196 = 148718 + 89322 for n.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/(18\/(-104)))\/(1\/3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1560\/(-13650))\/(-1 - 2\/(-14)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41592 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7194 minus 142?\nAnswer: 7052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -2\/29 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 10:02 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-9))\/((-1060)\/(-1060)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 8 = 3*f. Find the third derivative of -f*i - 4*i**4 + 9*i + 2*i**2 + i**4 wrt i.\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 89 = -4*z + 3*z, -4*z + 383 = -o. Let r(c) = -2*c**2. Let f be r(-5). Let y = z + f. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 15 = -3*j, -2*j - 3*w + 18 = -5*j. What is the units digit of (-195)\/(-9) + 6\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 7*a - 4 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j = -1750 + 1672 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/2*(4\/5 - 0). Let w(o) = o**3 + 9*o**2 - 9*o + 10. Let m be w(j). Suppose m*l - 2*l = -164. What are the prime factors of l?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 70\/6 - (-2)\/6. Let d(j) = j**3 - 13*j**2 + 14*j - 21. Let o be d(y). Is (2518\/o)\/(0 - (-2)\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r + 406 = -23983. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188871444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*g - 43, -4*g + 3*i + 3 = -50. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 871 or 863?\nAnswer: 871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtnw when four letters picked without replacement from twwnwwnntwttnwnwwt.\nAnswer: 35\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -794461166.5?\nAnswer: -794461166.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Divide 547903 by -345.\nAnswer: -547903\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -15 - (-4 + (10 - (-2 - -5)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 10:05 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0703 less than -4?\nAnswer: -4.0703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1741 - 11?\nAnswer: 1730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -11 + 23 - l - 12. Let m(t) = -6*t - 1. Let i(x) = m(x) - 4*z(x). What is i(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432 = 3*q - 5*p, 78*q - 50*q + 6*p + 835 - 285 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n**2 + 12*n + 1. Let t be (6\/3 - 1)*-3. Let a be l(t). Suppose 226 - a = 12*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3794397 to the power of 1\/2, to the nearest integer?\nAnswer: 1948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23\/(460\/80) + (0 - 0). Let s(v) be the first derivative of 3\/4*v**3 + 3 + 3*v + 15\/16*v**f - 9\/2*v**2. Factor s(w).\nAnswer: 3*(w - 1)*(w + 2)*(5*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 14. Which is the third smallest value? (a) o (b) 0 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208640 divided by -6520?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1536*g + 3078*g - 1539*g.\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 899752 by 14.\nAnswer: 64268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 1 = 10*w + 14, -2*w = -246*k + 241*k - 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 132*v**2 + 4*v + 26. Let t(y) = 262*y**2 + 7*y + 54. Let x(l) = -7*c(l) + 4*t(l). Differentiate x(s) wrt s.\nAnswer: 248*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -695, 2\/69, -767.\nAnswer: -767, -695, 2\/69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/260685 and -57\/25.\nAnswer: 1303425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 1\/3*t**3 + 8 - 3*t - t**2. Let d = -5 - -8. Determine h(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 2)*(-10 + -2 + 13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-75)\/6*-12444*(-16)\/(-120)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 f when four letters picked without replacement from {s: 5, m: 3, z: 2, n: 6, f: 3, g: 1}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (268\/(-938))\/((-9)\/(-21))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 0*l + 4. Let u be (-4)\/1 - (l + 1). Let q = -64 - -56. Put u, q, 0 in descending order.\nAnswer: 0, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1966 and -97\/480?\nAnswer: 471840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*26399091.\nAnswer: 26399091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131 divided by -3.\nAnswer: -131\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12352 and 4496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 47 - 43 = 0. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s. Let v be m(-2). Let p be (2\/v)\/(3\/6). Find the third derivative of -2*n**3 - 2*n**2 + 0*n**p + 0*n**3 wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atttat. Give prob of picking 2 t.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 21. Calculate the remainder when q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 123663 + -123298. Let z(l) = -2*l**3 - 6*l**2 - 3*l - 3. What is the remainder when a is divided by z(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.571081 centuries to decades.\nAnswer: 95.71081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 11*m**2 + 3312*m + 78976. Calculate p(-275).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26039 is divided by 79?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/30 + 10)*(-10 - (-52)\/7)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2296 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 - -2. Let c = 4961.3 + -4960. What is the closest to 0.1 in 0.3, c, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, 27, -7, 1, -0.3, -0.5 in descending order.\nAnswer: 27, 1, -1\/13, -0.3, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1528, -1539, -1564, -1609, -1680, -1783, -1924, -2109?\nAnswer: -2344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d**2 - 2*d**2 + d**2)*(5 + d - 5)*(2*d + 2*d - 3*d)*(5 - 1 - 1) to a*d + z*d**4 + w*d**2 + m + g*d**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 14*g = -20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23066592 a multiple of 927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, k: 1, w: 4, r: 1}. What is prob of picking 1 b, 1 k, and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txwwxwwwwtcwwwww. Give prob of sequence ttxw.\nAnswer: 11\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.04 + 4. Suppose 8*w + 5 = 6*w + 3. What is the closest to u in -0.4, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from drdrcrdd?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -91940097 + 0.2?\nAnswer: -91940096.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4063082 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (198\/(-165))\/(4\/(-450))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70330 divided by -6?\nAnswer: -35165\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -87, -102?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, 16, 36, 56, 76?\n\"Answer: 20*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -66. Let y = 47.5 - j. What is y rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 x when three letters picked without replacement from {x: 7, h: 9}.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, -31, -85, -191, -367?\n\"Answer: -3*u**3 + u**2 - 2*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -16. Let u be 1\/v*(25\/(-5) - -6). Solve 2*d = 3*j - 8*j + u, 2*d = -2*j + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10345540896 - -10345540461.00000455. Let t = n + 435. Round t to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2. Let y(s) = 94377*s. Calculate y(x(n)).\nAnswer: -94377*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423 + 49 + 374 + 69710*k.\nAnswer: 69710*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcjcvcvtjthtvjmvhj. Give prob of picking 1 t and 1 h.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10 - (-15 - -5)) + -3 - -76) + 16?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31413 (base 5) in base 9?\nAnswer: 2802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-4)*1*4\/(-10). What is the third biggest value in u, 0, -0.1, 0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -991 = -7*d - 81. Let j = d - 117. Let h(o) = o**3 - 14*o**2 + 19*o - 28. What is the remainder when 198 is divided by h(j)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 7*a - 19. Let m = 28 + -23. Suppose -67 = -m*r - 2. What is the units digit of z(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 9*i - 15. Let f be k(6). Suppose 0 = -0*s - f*s + 60. Suppose 5*t = -5*v - 25, -s = -4*v - 4*t + 8*t. Is 1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/68568893?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**3 + 0*s**3 - 2*s**3)*(-3 + 0 + 5) + 8 - 8 - 3*s**3 to the form g*s**2 + l*s**3 + h*s + a and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(13) + 2 + 2 + -3)**2 + ((sqrt(65) - (sqrt(65) - (sqrt(65) + (-2*sqrt(65) - sqrt(65)))))*5 - sqrt(65))\/(sqrt(5)*1*-4).\nAnswer: 49 + 59*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -5*g + 4*m, 6401*g - 6396*g = -2*m + 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 + 6*f + 3. Let i be s(-3). Suppose -i*d = -9*d - 15. Suppose k = -d, 6*n - 3*k - 168 = 3*n. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8508531208.99999236 + -8508531012. Let i = -197 + w. What is i rounded to 7 decimal places?\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4936 and 2143080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -3)*1651\/(-65). Which is smaller: x or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 10 = -3*y, -43*y + 18*y + 26*y + 9*u + 11 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1848837 to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554093?\nAnswer: 23, 24091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1471\/3116 - -7\/19. Find the common denominator of 83\/28 and i.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/r**(-1\/3)*r))\/r**(1\/4))\/((r\/r**(1\/2))\/r*r*r\/(r\/(r**(-6)*r))) assuming r is positive.\nAnswer: r**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*n**2 + 0*n**4 - 150*n**3 - 1 + 3 - 28*n**2 - 2*n**4 + 52*n**2 in the form m*n**3 + k*n**2 + g + x*n**4 + z*n and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**3 + 5\/24*k**4 + 17*k**2 + 0*k + 0 - 1\/5*k**5. Find the second derivative of m(q) wrt q.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535*f + 544*f + 9 = 0. Is f smaller than 104\/215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003226 to four dps.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(100)*5)\/(5*sqrt(8)) + 2)*3.\nAnswer: -45*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (666\/(-27))\/(-2*(-4)\/(-576))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 + (-26)\/39. Let u = 20 + k. What is the remainder when 56 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1461, 2919, 4377, 5835, 7293?\n\"Answer: 1458*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028474783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u - 39*u + 35 = 0. Let p be -2 - -4 - (-1 + u). Let r(g) = -13*g**3 - 2*g**2 + 3*g + 3. List the prime factors of r(p).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -6. Let r = p - -1. Find the third derivative of 6*s**2 + 12 - 12 - r*s**4 wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 + 1 + (-13 - 12) - (0 - 1)) + 39\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -8*s + 95. Suppose -b - s = -2*b. What is the remainder when b is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 102*b**2 + 20*b - 981. Is v(23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 37. Let d be c(15). Calculate the highest common factor of 33 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 10*j = 44 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -320400 - 432?\nAnswer: -321132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 171*u**2 - 3*u. Let f(r) = 2792*r**2. What is o(f(j))?\nAnswer: 1332990144*j**4 - 8376*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 107*j**2*l**3 - 2*j**2*l**2 + 112*j**2 - j wrt l.\nAnswer: 321*j**2*l**2 - 4*j**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -176 * -0.8\nAnswer: 140.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123306055.\nAnswer: 5, 71, 347341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*v = -73*v + 44*v - 776. Put -5, -1, -4, v in increasing order.\nAnswer: v, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20632, -20372, -20114, -19858?\n\"Answer: -h**2 + 263*h - 20894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 22, 1483.\nAnswer: 0, 22, 1483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 12. Let r(n) = n**2 - l*n**3 - 3*n**3 - 4*n - 9 + 4. Suppose 15*q = 20*q + 25. Let y(a) = 8*a**3 - a**2 + 5*a + 6. Determine q*y(v) - 6*r(v).\nAnswer: 2*v**3 - v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2261 = 4*k + 4*v + 2237, -5*v = k - 30 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**1\/s)**(-3\/28)\/((s**(-3\/4)\/s*s)\/s**(3\/13)))**(-1\/80) assuming s is positive.\nAnswer: s**(-159\/14560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -108, -166, -226, -288, -352?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -20532, -2, -6, -3, -5.\nAnswer: -20532, -6, -5, -3, -2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10817 - -4?\nAnswer: 10821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 1462.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 10*r**2 - 187*r - 112. What are the prime factors of y(-28)?\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-129210)\/(-18) + (-14)\/42.\nAnswer: 2, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (198\/54)\/(1\/39) is divided by 80.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 + 6*v**2 - 6*v - 2. Let r(l) = -3*l**3 - 7*l**2 + 7*l + 2. Give -5*q(s) - 4*r(s).\nAnswer: 2*s**3 - 2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-2))\/(2\/(-6)). Suppose -6*k - 150 = -d*k. Let t = -23 - k. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a - 18*a = 13*a. Suppose 4*x - 19 = l, 1 = 4*x - 2*l + 7*l. Suppose x*m + 1352 = -5*t + 4249, a = -5*t - 3*m + 2899. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w - 6520. Suppose 0 = 29*c - 33*c + 20. Suppose -c*h - 3*r + 15 = 0, 3*r = 6*h - 5*h + 15. Let d be j(h). What is d rounded to the nearest 100?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2181*o - 551*o + 71430 = -18726 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-10514)\/(-630) + 1\/9)\/((-7)\/(-700)) and 4.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 585\/702 + (-278)\/348?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 5. Suppose -3*q - 4*q + 14 = 0. Let d(w) = -w**3 - 4*w**2 + 5*w + 3. Let m be d(-5). Suppose -3*g + 8 + 8 = q*j, -4*g - 7 = -m*j. What is i(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -0.18 (b) 1 (c) -3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/1572 and -43\/60.\nAnswer: 7860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/((-42)\/7))\/((-6)\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 147610 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -552622, -552623, -552624, -552625?\n\"Answer: -r - 552621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4302 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103\/1545 - 46\/(-10).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 10. Let t be ((-696)\/9)\/(m\/15). Let r = -38 + t. Calculate the remainder when r is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -168.78 + 2749532030?\nAnswer: 2749531861.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73209069?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000096307283 to 6 dps.\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = 3. Does 5 divide (30\/(-9))\/(a\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*x - 32 = x, -3*s + 5*x + 24 = 0. Let u = s + -7. Let l be u*1\/2*10. Solve -l - 4 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/16)\/((-12)\/(-144)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3348 divided by -279?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/111 and -67\/2886.\nAnswer: 2886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2042981 and -0.06?\nAnswer: 2042980.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 11) to base 10\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l + 1. Let k(b) = 9*b + 2. Suppose 6*q = 2*q. Suppose q = x + 5*w - 23, -w + 4 = 4*x - 3*w. Give x*k(p) - 5*a(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 4*c**2 + 2*c - 14. Calculate t(-5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -247922 (base 14) in base 10?\nAnswer: -1250314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Let i = -9 - -13. Let j = 3711\/8 - 464. Which is the biggest value? (a) z (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1268212 + 1268212 - 310*f to t*f + r and give t.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*j**2*z - 104763*j**2 + 1511752*j*z - 3*j wrt j.\nAnswer: 42*z - 209526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362 + 223 = -41*s + 52 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6224, -26386, -60002, -107072, -167596?\nAnswer: -241574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**2*d + 31*c**2 - 2*c*d*z + 2*d*z + 23 wrt c?\nAnswer: -2*c*d + 62*c - 2*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -26734.299*-0.15\nAnswer: 4010.14485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3141.206ml in litres?\nAnswer: 3.141206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14550414 + 1?\nAnswer: 14550415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051193553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5932 divided by 5?\nAnswer: 5932\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 20732*w**2 - 1157*w + 22. Let r(s) = 13821*s**2 - 790*s + 15. Let k(p) = 5*m(p) - 7*r(p). Find the second derivative of k(a) wrt a.\nAnswer: 13826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 1.5?\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = f + f. Suppose -m = 4*l - 169, f*l = -m - l + 164. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - 2*h**2 + h**2 + (h + 2 + 0*h - 6)*(-12*h - 21*h + 3*h).\nAnswer: -33*h**2 + 120*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 189*h*l**2 + 5*h*l - 1850422*h + 18*l**2 - 9*l wrt l.\nAnswer: 378*h*l + 5*h + 36*l - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3502 greater than or equal to 1\/32437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -329.71 + 62.01. Let a = 248 + r. Round a to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97416 is divided by 663?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (1395 - 12\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1334, 5349, 12032, 21377, 33378, 48029?\n\"Answer: -l**3 + 1340*l**2 + 2*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*x**2 + 4*x**2 - 3*x**2 + (2*x - 1 + 1)*(3 + 3 - 5)*(3*x - 7*x + 3*x).\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -324 + 328. Let m = -6 + 3. Let c = -1 - -0.8. Sort t, m, c.\nAnswer: m, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 20 - 2)*(-229 + 229 + 7*x).\nAnswer: 168*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 11:18 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 8:08 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**3 + g**2 - 158*g - 27. Let h(p) be the first derivative of v(p). What is h(-7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -7. Let f = 20 + y. Solve -q - q = -2, 3*m + 5*q + f = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -9 - (0 + 1)) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 0*b - 2*b + 0*b. Let y(f) be the third derivative of f**5\/40 + 5*f**3\/6 - 11*f**2. Let q(c) be the first derivative of y(c). Calculate q(d(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 1, 45, -1\/5, -2\/3 in decreasing order.\nAnswer: 49, 45, 1, -1\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 82346 - 8*l + 82341 - 164687. Let q(j) = 165*j + 1. What is q(c(z))?\nAnswer: -1320*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 143a0a6 (base 15) to base 5\nAnswer: 12220121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 1 + 7. Suppose -2*t = -0*t - w. Let y = t - -1. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158.95132 rounded to zero decimal places?\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.38 - 0.02. Let v = 2.4 + p. Let d = 23 + -22.8. Is d < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 19*o**2 + 5*o - 18. What is the tens digit of k(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/2)\/q**(-4))\/((q*(q\/(q**(-3)\/q))\/q*q*q*q)\/(q**(-4)*q)))**(1\/28) assuming q is positive.\nAnswer: q**(-17\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 215926716 to the power of 1\/2, to the nearest integer?\nAnswer: 14694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.54 and -8515.\nAnswer: -8516.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10601175, 10601143, 10601111, 10601079, 10601047, 10601015?\n\"Answer: -32*h + 10601207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.5, -5, -79\/13, -1\/4?\nAnswer: -79\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*a + 10 = 0, 2*d - 4*d = -2*a - 2. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Let i be (-5)\/2 + (-1)\/(-2). Suppose 39*m - 15 = 34*m. Suppose 3*g = -g + 5*a - 17, g - a = -m. Let u(j) = -2*j**2 - j. Give g*u(b) + i*d(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from cccrccrccczz.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36927 and 1889613?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/2 + (-2)\/((-10)\/15). Suppose -y + 15 = -9*w. Let d be (w - -6)*(-7 + 2985\/425). Put -2\/23, -28, d in decreasing order.\nAnswer: d, -2\/23, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*b = 2, 4*b + 6 = 2*v + 2*b. Suppose -c + 14 = -5*j, -v*c + c = -j - 6. Suppose -4*s + 5*k + 27 = -0*k, 0 = 3*s - 5*k - 24. Solve c*d = s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87\/10 + 36\/5. Let h = 7.75 + -8. Let r = h + 0.15. Do k and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 - 128 - 4*d**2 + 312 - 78.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 150368909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**2\/2 - 4*v - 34. Let g be (1 + -6)\/(4 + -5). Suppose 6*z = g*z + 4. Determine l(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - (sqrt(36) - -4*sqrt(324) - sqrt(36)))\/(sqrt(60)\/(sqrt(25)\/sqrt(5))))**2 + (sqrt(432) + 2*sqrt(432)*-1 + sqrt(432))**2 + 5 + 4 + sqrt(3)*1.\nAnswer: sqrt(3) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4394 divide 1806245974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*b**3 + 52*b - 52*b)*(1 + 0 + 0) in the form n*b**3 + x*b**2 + j*b + f and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**2 - 4*w + 4. Let m(p) = -84*p**2 + 7*p - 28*p - 28*p + 49. Suppose -16 = 3*z + y, 476*z - 471*z = 2*y - 12. Give z*m(g) + 49*n(g).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 6:00 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(648) + -3)*-5 - (sqrt(648) - (sqrt(648) + -2 + -1) - sqrt(648)))**2.\nAnswer: -1728*sqrt(2) + 10512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 5:54 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 68. Let f be y(0). Let t be ((-90)\/25 - -3)\/((-4)\/680). Calculate the greatest common divisor of t and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62171\/291 - -641\/3. Let p = u + 89\/388. Let k = 302 - 305. Which is the smallest value? (a) p (b) k (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -96500590437?\nAnswer: 96500590436.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -195 - -204. Solve 0 = -v*r - 1 - 17 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(15)\/sqrt(3) - (sqrt(5) + 1*sqrt(5)*-6))*2 - (3*sqrt(40)*2)\/(sqrt(128)\/sqrt(4) + sqrt(32)).\nAnswer: -7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5044 is divided by 328.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-9)*(2 - 20\/8). Let s(n) = n**2 + 8*n - 12. Let r be s(-9). Let k = 3.1 - 3. What is the nearest to 1 in q, r, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 9*c**2 - 21*c + 23. Let j be s(-11). Suppose -4*n + 7 + j = z, -4*n + 17 = 3*z. Solve -2*x - 3*y = 1 + 1, 3*x + n = -5*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 + 105. Solve -24 = t*m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 73? (a) -2\/15 (b) -32 (c) 1 (d) 3\/5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9517800 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 38 = 123*p - 61*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 + -377003?\nAnswer: -376b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4182517829 to the nearest integer?\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/8*(2 - -2). Let r be n + ((-2)\/8 - 1). Sort 2, -3, r in decreasing order.\nAnswer: 2, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -412 + 451. Calculate the least common multiple of y and 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 8*x + 10*x - 1900, -4*x = 3*c - 2857. Calculate the remainder when c is divided by 232.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(76)*-3 + sqrt(76) - -4*sqrt(76)*5)**2*-3.\nAnswer: -147768 + 864*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-31 - -58) + (-23 - 2). Determine o so that 4\/3*o**3 + 0*o**p - 8\/3 - 4*o = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53653 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -210, -216, -224, -234?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33569 or 33570?\nAnswer: 33569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10704 - -10837.93. Let p = o - 137. Round p to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2700, 2698, 2696, 2694, 2692?\n\"Answer: -2*v + 2702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 - 562128*c**2 + 197492430240*c.\nAnswer: 2*c*(c - 702660)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j = -34*j + 8. Suppose j*u - 6 = 2. List the prime factors of (u + 3)*91\/7.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1170*i**2 + 22*i + 107. Is k(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1020303002?\nAnswer: 1020303013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, h: 1, n: 3, i: 4}. What is prob of sequence nnh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 21\/188 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 2*o. Let h(f) be the second derivative of -f**4\/6 + 5*f**3\/6 - 8*f. Determine 3*h(j) + 8*y(j).\nAnswer: 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 39*t - 128. Let s be j(42). Let l be 4\/(-10) - 32\/420. Let d = l + 83\/42. Put s, 0.3, d in ascending order.\nAnswer: s, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -35. Suppose c = -3*l - 53 + 479. Let j = l + -15. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/5 in 3\/308, -89\/2, 5?\nAnswer: 3\/308","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-10)*-25*(-4)\/(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 66*l**2 - 4*l + 2. Let d(s) = -200*s**2 + 9*s - 7. Let w(b) = 4*d(b) + 14*u(b). Find the second derivative of w(h) wrt h.\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -100? (a) 0.04 (b) -3 (c) -0.3 (d) -142 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-302)\/(-3) - (40\/(-5))\/24. Solve 0 = -109*k + f*k + 48 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 2*x + 2. Let s be q(0). Suppose -5*c + 268 = s*z, 183 = 3*c - 3*z + 39. Suppose 3*g - c = 86. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 9*w - w. Suppose w*k + 12 = 14*k. Suppose i + 5*n - 130 = -k*i, 5*n = i - 45. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 473*k**2*x**3 + 3*k**2*x + 276589*k*x**5 + k*x - 705*k - 2606*x wrt x?\nAnswer: 2838*k**2*x + 5531780*k*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 11:56 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-88)\/(-3)*1*-3. Let p = -37 - w. Calculate the remainder when p is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 w, and 1 u when four letters picked without replacement from pwrwyeuwrypepprew.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 417748.\nAnswer: 125324.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x + 1 + 0*x**4 + 1\/70*x**5 - 1\/21*x**3 + 0*x**2. Let h(c) be the first derivative of a(c). Factor h(k).\nAnswer: 2*k*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 1\/4*t**5 + 0 - 145*t + 125\/2*t**2 - 15\/4*t**4 + 25\/2*t**3. Factor k(n).\nAnswer: 5*(n - 5)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72384*w**2 + 2948*w + 30 = 0 for w.\nAnswer: -1\/48, -15\/754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 15, -3*u + 2*o - o + 26 = 0. Suppose 3*a + 5 = -u, -3*a - 18 = -2*r. Suppose 0 = r*w + 3, 2*y + 0 = -4*w - 4. Solve 0*z - 2*z + 2 = y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, 2716, 10469, 25552, 50407?\nAnswer: 87476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1389806 and 91\/16.\nAnswer: 11118448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -333, -769, -1391, -2205, -3217, -4433?\nAnswer: -5859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 531 - -283235?\nAnswer: 283766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6*d = d + 13, 2 = 2*d. Let g be -1 + (40 - i) + 3. Let w = g - 21. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (71\/(-142))\/(0 + (-4)\/64). Calculate the highest common divisor of 54 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82110 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 24624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3626173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*m - 42*m + 25*m)*(m**4 + m**4 - 4*m**4 + (4*m**2 - 6*m**2 + m**2)*(-m**2 + 5*m**2 + 2*m**2)).\nAnswer: -72*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132795 is divided by 47.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*d + 156 = 574 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nixmmiiinxixip. What is prob of picking 1 n and 1 m?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*o + 4 + 33 = 0, -17 = -p + 5*o. Suppose 4*s - 84 = 3*u, u - 2*u = 5*s - 86. What is the highest common divisor of p and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 42*z**2 - 281*z - 1169. Calculate o(-35).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1490 = -1422. Suppose k + k - 76 = 0. Let r = k + z. Solve 0*l - 30 = -2*w - 4*l, 3*w - r*l + 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.3 + 7.3. Which is smaller: 1\/29 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46016027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8891.21 centuries?\nAnswer: 10669452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = -16*c - 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1441 (base 9) to base 5\nAnswer: 13330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1705b + 3a?\nAnswer: 17099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-4)\/(-2)) + -1 + 6. Solve -l*s - 15 = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1870.9 + 1873.9. Let l = -17 + 12. Which is the biggest value? (a) v (b) l (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -8 (b) 0.2 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**5\/20 - c**4\/12 - 21*c**2 - c + 434. Give z(0).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, v: 1, o: 1}. Give prob of sequence zov.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z**2 - z + 0 + 1\/4*z**3 = 0 for z.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -5. Let m = x - -4.4. Let z be (4\/78)\/(1\/3). Which is the biggest value? (a) -2 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t - 15. Let k(o) = o + 7. Let j(y) = 7*k(y) + 3*l(y). Let x be (30\/50)\/((-6)\/(-20)). Suppose 12 = -3*v + 3*d, -x*d = -4*v - 8 - 4. Calculate j(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2733786*m + 115*m**2 - 232*m**2 - 2733797*m - 73*m**2 - 207*m**2 in the form j*m**2 + v + q*m and give j.\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 5. Let i be 6\/24 + 14\/c. Suppose i*w + 0*w + 2*n = 104, 0 = -3*n - 9. List the prime factors of w.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364216424 and 1272.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*o + 13*o + 7*o)*(-4*o**3 - 5 + 12 - 4) as g*o**4 + i*o**3 + s*o + v + y*o**2 and give g.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 30356*v - 9664992.\nAnswer: -4*(v - 7256)*(v - 333)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 + 2184*y**2 - 26784*y = 0. What is y?\nAnswer: -558, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 2*p - 118*p**3 - 3 + 42*p**3 + 31*p**3 to t + n*p**2 + a*p**3 + y*p and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155151.747 microseconds to days.\nAnswer: 0.0000017957378125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (18 + -18 - 6 - -2) + -41\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-435)\/21 - 2\/7. Let i be (-1 - x)*12\/16. Calculate the greatest common divisor of i and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 2 (b) 5 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 9*v - p = 3, -4*p - 16 = -4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 505581 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**5\/240 - 13*m**4\/12 - 35*m**3\/8 + 2*m**2 - m - 1423. What is v in a(v) = 0?\nAnswer: -1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 - 2*r**4 + 5*r**4 + (1 + 0 + 0)*(-2*r**2 + r**4 + 2*r**2))*(252*r + 309*r - 436*r).\nAnswer: 250*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**3 + 43650*g**2 + 87309*g + 43656 = 0 for g.\nAnswer: -1, 14552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 2) + -2 + (-22 - -16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/(-30))\/((-2)\/(-28)). Let f(t) = 23*t. Let n(w) = 11*w. Determine p*n(v) - 4*f(v).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4436433419?\nAnswer: 11, 97, 431, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**2 + 19*z - 56. List the prime factors of q(3).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 657 - 656.7. Are u and 3\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.005 and -5702.\nAnswer: -28.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + -4.5. Let m = -4.9 - h. What is the second biggest value in m, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110056744379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -35, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drszzwwrrvw. Give prob of sequence rsd.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1157059, -1157052, -1157045, -1157038, -1157031, -1157024?\n\"Answer: 7*h - 1157066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w - 17*w = -1081 + 409. Let p(l) be the second derivative of -w*l + 0*l**3 + 3\/4*l**4 + 0 + 0*l**2. Let k(t) = -t. Give k(p(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(3\/4))\/h)**12\/(h**(-1\/3))**(-1\/59) assuming h is positive.\nAnswer: h**(3716\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 13. Suppose -p*q - 5*u + 0*u - 140 = 0, 3*u = -q - 28. Let f = q + 31. Solve -16 = 2*d + 3*w, -2*d = f*d - 4*w + 17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/306 and 91\/68.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2209 + 2240.03. Let v = h - 31. Which is the nearest to -2\/9? (a) 1 (b) 2\/11 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/((-624)\/(-252))*1\/(-9)*-12?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**4 - 10*l**3 + 10428*l**2 - 230328*l - 1756944 = 0.\nAnswer: -83, -6, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + c - 4. Suppose 0 = -4*o + 8*o - 8. Suppose a + o*f = 2 - 4, 5*a = -c*f + 6. Is 3\/4 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -53. Suppose -110 = -3*l - a*j + 7*j, 5*l - 4*j = 186. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-19)\/(3515\/20))\/(-4))\/(12\/(-24)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.959882902 rounded to 1 dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 5*q**2 + 8*q - 2. Suppose 2*y + 0*y = -10, -2*m = 5*y + 13. What is s(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 679, 1369, 2071, 2791, 3535, 4309?\n\"Answer: s**3 + 683*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x**4 - 427*x**3 - 1771*x**2 - 1797*x. Let m(y) = -4*y**4 + y**3 + 3*y**2 + y. Let z(w) = -g(w) + 3*m(w). Let z(u) = 0. Calculate u.\nAnswer: -2, 0, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 7. Let u be (276\/8)\/(54\/8). Let s = u - 331\/63. What is the third smallest value in g, -1\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/44 and 15\/2*156\/576.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-9) - (-344)\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 6*o**2 + 3*o - 2. Let d be r(-5). Suppose -7*m = -d*m + 251. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476573547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408, 403, 396, 387, 376, 363?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 0 - (-4 + 600001). What is f rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, u: 4}. What is prob of picking 4 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -4 - o**3 - 2*o + 3\/2*o**2 - 1\/10*o**6 + 0*o**4 + 3\/10*o**5. Let y(j) be the first derivative of f(j). Factor y(v).\nAnswer: -3*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5076*s**3 + 398*s**2 wrt s?\nAnswer: 30456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k - 29*k = -21. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**2\/2 + 3*v - 1013. Give a(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - g + g)*((4 - 1 - 36)*(-5 + 1 + 2)*(2 + 1 - 4) + 0 + 0 + 1) in the form r + p*g and give p.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012428006 to 5 dps.\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 30.8, -4, 51 in ascending order.\nAnswer: -4, 4, 30.8, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**2. Let z(q) be the third derivative of 0*q + 0*q**3 + 3*q**2 + 0 - 1\/24*q**4. Give b(z(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or -534?\nAnswer: -534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 2*k + 4*k)*(-4*k**2 - 3*k**2 + 5*k**2) + 844*k**3 - 3326464*k + 3326464*k - 24.\nAnswer: 842*k**3 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 + 7*v + 5. Give u(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t. Let r be o(0). Let j = -331 - -331. Solve j = l - r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -22912*a - 32. Let f(d) = -7637*d - 11. Let o(g) = 8*f(g) - 3*q(g). Let k be o(7). Is (-6)\/4*(k\/(-12))\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13 - -2*(-1)\/(-1). Let q be (-6)\/4*(-20)\/j. Let p(i) = 3*i**2 - 4. What is the remainder when p(q) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 56 = -2*r, -u + 5*r = -3*u + 50. Let c be ((-42)\/(-4))\/(1\/u). Does 14 divide 1*7*c\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -19*s**6\/30 - 15*s**2 + 16*s. Differentiate j(y) with respect to y.\nAnswer: -76*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (160\/14)\/4*(-378)\/(-108). Solve q*z = -21*z - 124 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -813*x - 1336*x + 2150*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from bkmmnbkrmkkkj.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - -2) + 3 + (14 - 6*(-209)\/(-114)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1210\/9 + 7408\/63. Which is smaller: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 53698.6 millennia?\nAnswer: 5369860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x**2 + 14*x**2 - 58*x**2 + 19*x**2 + 9*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0715 times 252?\nAnswer: -18.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*m - 29 = 0, 2*m - 4 + 16 = n. What is the first derivative of -15*h**2 - 4 + 9 + 14*h**n - 1 wrt h?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 6*o**2 + 26*o - 13. Is b(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2456525315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 474 + 207. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.794 - 6.83. Round o to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {f: 1, l: 4, r: 7, j: 2, k: 2}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18748 is divided by 250?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5\/15 + 32*t**4\/15 + 8*t**3\/15 - 128*t**2\/15 = 0. Calculate t.\nAnswer: -2, 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d*h**3 + 2*d*h**2 + 74*d*h - 6*h**3 wrt h?\nAnswer: -12*d - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872 at most 1874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.5, -0.395, 2\/23, -3\/13, 8, -1.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11688073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, 1, -3, 12 in ascending order.\nAnswer: -3, 1, 12, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3520.674nm in centimeters?\nAnswer: 0.0003520674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 3*l + 24 = 0. Suppose l*b - 135 = b. Let s = b + -13. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47191290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 8) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from {o: 1, q: 1, c: 1, x: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1338603, -2677229, -4015855?\nAnswer: -5354481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32 - -48?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*l - 29*l - 805. Let z = 117 + l. Solve 5*g - 46 + 17 = z*u, -3*u - 26 = -4*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -7. Let h(s) = -s**2 - 11*s + 3. Let m be h(-11). Solve -l*z - 2*j - 46 + 11 = 0, -m*j = 3*z + 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from yydzlydzycyzyzd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.37 + -0.03\nAnswer: 1.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -1*-1*sqrt(35)\/sqrt(7) + 0)**2 + 1)*-4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*m**4 - 1065*m**3 - 430*m**2.\nAnswer: 5*m**2*(m - 43)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-70)\/(-21))*25\/(225\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39.81 + 37.81. Is b at most -12711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002567 rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a + 1. Let q be g(1). Let k = q - -15. What is the units digit of 1*(k + -2)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3 = 3*g - 4*l, -g - 4*l + 1 = 0. Suppose 0 = 4*b - 5*a - 5 - 67, 0 = 3*a. What are the prime factors of b + -4 + (-1 - g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + u**3 - 2000*u + 28*u**3 + 2000*u.\nAnswer: 29*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4713 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2043b61 (base 12) to base 7.\nAnswer: -102344515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + ((-8)\/(-1) - 1). Suppose -2*c = -f + 2. Let u(i) = i**2 + i**2 - 3*i**c. Let s(j) = -j**2. Calculate s(u(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g - 920 = 0. Suppose 3*l = -30 + 99. What is the greatest common divisor of l and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -2 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*v**6 - 60*v**4 + 2*v**2 - 20*v wrt v?\nAnswer: -360*v**3 - 1440*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) -3950 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p + 21*p + 4*p. Let m(r) = -2*r. Calculate z(m(l)).\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563896916.\nAnswer: 2, 11, 12815839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by 97.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 30, 5, -5 in decreasing order.\nAnswer: 30, 5, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2.2, -0.056, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/2)\/(33\/638). Let g(o) = 3*o**2 - 87*o + 4. Let d be g(n). Solve 7 = d*m - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.023 - -0.077. Let n = s - -0.9. Sort n, 21, 5 in descending order.\nAnswer: 21, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -354 - -354.0000366. What is r rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85*n**6 - 1254*n**2 wrt n.\nAnswer: -10200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1099 and 44313878.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 95*i. Let r(k) = 7*k. Let v(t) = 3*q(t) - 40*r(t). Let b(l) = 3 - 4*l**2 - 3. Give v(b(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 121 - 551 = 0. Let g(p) = 4 - 2*p**3 - 39*p**3 - 45*p + q*p - 5*p**2. Does 32 divide g(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188502849553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -86699 and -1.\nAnswer: 86699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 13 + 41 = -5*x, 0 = -8*x + 2*y - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -594967 greater than or equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1081296 to the nearest one thousand.\nAnswer: 1081000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4973*t**3 + 2*t + 9950 wrt t.\nAnswer: -14919*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let t(d) = -d - 2*d + 2*d + 3*d. What is t(s(l))?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.024638*0.08558.\nAnswer: -0.00210852004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5745 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1266*z - 1266*z - 66*z**2.\nAnswer: -66*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a + 16. Let q be k(-5). Let v be 32 + 0\/q - -2. Calculate the highest common factor of v and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.075 - -53.075. Let o = s - 54. Which is the biggest value? (a) -0.042 (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-20)\/(-205))\/4)\/((-4)\/(-8)). What is the nearest to u in -5\/3, 3, 4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 2116.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28682940.\nAnswer: 2, 3, 5, 11, 13, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000016259 to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-6)\/(-9)*(-27)\/6. Suppose -f*x - 169 = -153. Sort 3, -2, -7, x.\nAnswer: -7, x, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 + 30*m**2 + 6*m**2 + 40*m**2.\nAnswer: 76*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - b + 10. Suppose 12 = -4*p + b*z, 5*z - 9 = 5*p + z. Are p and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11668000 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*t = 2*t - 2763, -12 = -3*t. Does 40 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4627b9 - 13?\nAnswer: -462810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(208)) + 4 - sqrt(117)*2)**2.\nAnswer: -72*sqrt(13) + 1069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -896241, -1792507, -2688773, -3585039?\n\"Answer: -896266*i + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/9*90\/75. Let q(l) = 2*l**3 + 4*l**2 + 21*l. Let o(f) = -f**3 - 2*f**2 - 10*f. What is i*q(p) - 5*o(p)?\nAnswer: p**3 + 2*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**5\/60 + 25*b**4\/24 + b**3 + b**2 - 11*b - 3. Let h(f) be the second derivative of s(f). What is h(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2 - 106*x + 466. Determine p(20).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117) - (5 + sqrt(117) + -1 + sqrt(117) - sqrt(117))))**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*h**3\/5 + 27104*h**2\/5 + 22970634*h\/5 + 22943538\/5.\nAnswer: 2*(h + 1)*(2*h + 3387)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from vzdtvodotltt.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*y**3 + y**2 + 169 + 85*y**3 - 260*y**3 + 78*y**3.\nAnswer: -y**3 + y**2 + 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0.1, -1, -40, -1\/2, -3 in decreasing order.\nAnswer: 0.1, -1\/2, -1, -3, -23, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 7. Which is smaller: b or 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 8. Suppose 0*s + b = s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8d8 (base 14) to base 3\nAnswer: -2102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -817, -659, -595, -625, -749, -967?\n\"Answer: -47*z**2 + 299*z - 1069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 901.13556 - 82.\nAnswer: 819.13556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9*q + 88. Calculate l(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -375 (base 8) to base 6.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 5. Let t(g) = -g + 4. Let f be t(9). Calculate the remainder when 17 is divided by j(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83777313 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**3\/3 + 2*q**2 - 4*q - 66. Let s be (-8)\/(-12) + 26\/6. Suppose -2*a - 34 = 2*a - s*h, 5*a - h + 32 = 0. Give k(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424176288 a multiple of 1184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**7\/504 + o**4\/6 + 3*o**2. Let d(t) be the second derivative of n(t). Let a(l) = l**2. Determine d(a(p)).\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 7}. What is prob of picking 1 v and 1 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 136*f**3 - 50*f**3 + 1 + 1 - 4 in the form w*f**2 + n*f**3 + y + i*f and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y - 1. Let i be t(1). Suppose -k + i*q + 192 - 17 = 0, 3*k + 5*q - 514 = 0. What are the prime factors of k?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 at least 181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/3 - 22\/(-42). Let t = -2004\/5 - -401. What is the third smallest value in t, c, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tppptprptt. Give prob of sequence rttt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73 and 5877449?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11.836, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 50 = 34*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -21.8. Let b = -16 + 15. Let l = 0.2 - 3.2. Put g, l, b in increasing order.\nAnswer: l, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301096.2411 rounded to the nearest ten?\nAnswer: 301100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 12*v - 2. Let c be l(-10). Let w = c + -6. Differentiate 4*u**4 - 3 - 12*u**2 + w*u**2 wrt u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 234\/37 or 6?\nAnswer: 234\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**4\/3 - 10*d**3\/3 - 3*d**2 + 52*d\/3 - 32\/3 = 0.\nAnswer: -8, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyy when three letters picked without replacement from vvjuvjvjvzzyujvyv.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-11640))\/(630\/(-3500))*18\/15.\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3305608000 to the nearest 1000000.\nAnswer: -3306000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56725824 rounded to 4 decimal places?\nAnswer: 0.5673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 407333 divided by 37\nAnswer: 11009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69069, 69078, 69087, 69096?\nAnswer: 69105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2))**(-47)\/(u\/(u**(-8)*u)*(u**(-5)\/u)\/u)*((u\/(u\/u**(-2)))\/u*u\/u**(-2\/19))\/(u\/(u**(-8)*u)*u**(-1)) assuming u is positive.\nAnswer: u**(517\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 490523.\nAnswer: 3433661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14\/(-7))\/6)\/(3\/63).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 11 + 5 + -5 + -7.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3769871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.98 + 5. Let k = -1.98 - n. Let o = k - -1. Which is the smallest value? (a) -3 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12683583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 93 + 3 = 0. Solve 5*c - k - 5 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13034, -26078, -39124, -52172, -65222?\n\"Answer: -i**2 - 13041*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -10. Calculate the remainder when 27 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*n + 4*n - 1679. Calculate the remainder when 800 is divided by n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1253322434 to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -3778?\nAnswer: -3778.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q - 16. Let g be s(-5). Let i = g - -83. Suppose -z + 6 = -4*z - 5*m, -2*z + i = -2*m. Which is greater: 5 or z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/126 and -47\/61880?\nAnswer: 556920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5) + (-56)\/10. Let l = -3062 - -3058. What is the closest to -2 in t, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. Suppose c*b - b = 7. Let j be ((-26)\/(-13))\/(-2 + (-16)\/(-6)). Solve -20 = b*a - j*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2766392971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5*p - p + 7)*(30 + 9 - 20) to v*p + c and give c.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916729.\nAnswer: 11, 83339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 48 - 4*w**3 - 18*w + 73*w - 48 - 55*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + m. Let s be (3 + 3)*(-2)\/6. Let q(x) = -2*x + 5*x + 0*x + 4*x**3. Let p(a) = s*q(a) + 6*h(a). Factor p(n).\nAnswer: -2*n**2*(4*n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/11 + 1361428*n**3\/11 - 231677606024*n**2\/11 - 2780388587796*n\/11 + 10426227459210\/11 = 0. What is n?\nAnswer: -15, 3, 340363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Let u(z) = 50*z + 15 - 60*z + 7*z**2 - 4*z**p. Is 17 a factor of u(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1705*p + 50207 + 2648 = 0 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26479503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a*h**3*i**3 + 34951340*a*i**3 + 3*h**3*i + 1830415*h**2*i + h**2 + i**3 wrt a.\nAnswer: 3*h**3*i**3 + 34951340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 334 + -331. Suppose 1103 = 3*n - 5*j, -6*n + 1833 = -n - y*j. What are the prime factors of n?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003031173804 rounded to 7 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 = -p. Suppose -4*s = 5*j + 37, 7 = s - 0*s - 2*j. Let m be 1*s*60\/(-18). Calculate the highest common divisor of p and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18872230 divided by -1887223.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*(sqrt(931) + 1 - sqrt(931)))**2*3.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:54 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36816 and 23673.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.95 + 4. Let q = 0.65 + p. Let n = 0.69999983 - q. Round n to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 12. Let x = v - -5. Let h = 6 - x. Which is the biggest value? (a) 0.1 (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -5. Let b(w) = -633*w**2 - 3 - 353*w**2 + 53*w**u. Let l be b(-3). Round l to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 7*m**4\/6 - m**2. Let u(o) = 8*o**2 - 210*o. Let q(x) = 7*x**2 - 175*x. Let k(n) = 6*q(n) - 5*u(n). Give c(k(b)).\nAnswer: 56*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/3))**(-2\/23)\/(s*s**5*s**(2\/7)) assuming s is positive.\nAnswer: s**(-3050\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 4*x**2 - x + 3. Let b be w(4). Let h be (0 - 8)*b\/(-2). Let l = 7 + h. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i**4 - 318*i**3 - 495*i**2 - 144*i + 60 = 0.\nAnswer: -10, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/21? (a) 8 (b) -15 (c) 3\/8 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -201, -301, -401, -501?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-1) - (-1 - 2). Let x be (-1)\/(-2) + (-15)\/6. What are the prime factors of 8 - (x - (0 - v))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**3 - 114*k**2 + 60*k**2 + 54*k**2 - 24*k in the form f*k**2 + j*k**3 + z*k + h and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331125 - 331127 - 331127 - 331119 + 1655605 - 4*q - 331107.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2667 and 82044921?\nAnswer: 2667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 2\/7 (c) 11 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-1 + 0 + (sqrt(147) - -1*(sqrt(147) + -3)) + 3 + 1 + -5)**2.\nAnswer: -56*sqrt(3) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = -2*b - 0*b, -3*b = 3*s. Suppose 3*r - 5 - 5 = g, -s*r + g = -5. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -2. Let i = 9.4 - 8.9. Which is the closest to 1? (a) n (b) i (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 446*s - 18280. Calculate b(41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2360 take away -27681?\nAnswer: 25321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -681?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q. Let z be (-6)\/21 + 9\/7. Let v(b) = -2*b**2 + 3*b - 3. Let n(k) = z*v(k) + 3*y(k). Differentiate n(t) with respect to t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -12*v - 11. Let d(f) = -6*f - 6. Give -6*c(h) + 11*d(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from iwifzwtiiztiiztwwif?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6411772963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 118, 0, -0.8?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 - 3*s**3 + 4*s**3 + 0*s**2 + 0*s**2.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 40. Find the second derivative of -20*p - 24*p + 58*p - 21*p**y wrt p.\nAnswer: -252*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**10)\/f*f)\/f*((f*f**2)\/f)\/f)**(6\/5)\/((f**(-3))**(1\/32))**(-43) assuming f is positive.\nAnswer: f**(-2373\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 634*u**2 + u - 2. Let g be n(1). Let l(s) = 633 - g + s. Let v(k) = -109*k**2. What is v(l(i))?\nAnswer: -109*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -20*u**2 - u. Let q(d) = d. What is o(y) + q(y)?\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -76*a**2 - 6*a - 7. What is g(-1)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.063839189 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3 = -q + 20, 0 = -3*y - 12. Let t(c) = c**3 + q - 2*c + 9*c**2 + 15*c**2 - 21*c**2. What is t(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40107, 40106, 40107, 40110, 40115, 40122?\nAnswer: 40131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -640*b**2 + 316*b**2 + 303*b**2.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81*a**3*n*y - 18004*a**3 + 8*a**2*n*y - 45*n*y + 9*n wrt y.\nAnswer: -81*a**3*n + 8*a**2*n - 45*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 4) to base 7.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 364*1984\/22568*(-10)\/8?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -40155, 4, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240383 is divided by 131.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 + -94. Calculate the remainder when o is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2625 and 82747125?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131794, 132153, 132512, 132871?\nAnswer: 133230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-18)\/i))\/(i**(-2\/95)\/i)*(i**(-5\/3)\/i)\/i**(-5) assuming i is positive.\nAnswer: i**(6656\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let p be (-6 - -14) + 0\/(-2). Let d = 23 - p. Solve z*a - d = -5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 46485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*p + 64*p + 32 = 0. Let w(z) = 86*z**2 - z + 19. Is w(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10803887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*d + 18*d - 2*t + 8, -5*d - t + 8 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**6\/480 + 11*k**5\/240 + 31*k**4\/32 + 51*k**3\/8 - 144*k**2. Factor w(m).\nAnswer: -(m - 17)*(m + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-590)\/649*(14\/(-4))\/7.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w**2 - 7*w. Let g(b) = -8*b. Calculate q(g(j)).\nAnswer: -384*j**2 + 56*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54 + 54 - f + (-8 + 1 + 0)*(-4 + 4 + 16*f).\nAnswer: -113*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {e: 3, g: 3, t: 1, y: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7365666*0.4\nAnswer: -2946266.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -6 - -1 - -6 - 23?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24045, -26205, -28365, -30525, -32685, -34845?\n\"Answer: -2160*a - 21885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-85)\/84)\/5 + (-4)\/(-14). Let h(x) be the third derivative of -1\/30*x**5 + 2*x**2 + 0 + 0*x - s*x**4 + 1\/6*x**3. Give h(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3 = -2, 5*w = 3*m + 657. Let z = 275 - w. What is the highest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13b6 - 43b05?\nAnswer: -450bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-60)*(10\/3 - 76\/19).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269248 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 + d**4 - 3*d**4 + (d**3 + d - d)*(20*d + 28*d - 19*d) to t*d + y*d**3 + q*d**2 + z*d**4 + p and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3459172860 and 8280.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 9*z**3 + 2*z**2 - 11*z + 18. Let a be k(2). Suppose n - 5*u - a = 0, n + u = -4*n + 510. Is 102 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 30225, 30230, 30243, 30258, 30269, 30270, 30255, 30218?\n\"Answer: -q**3 + 10*q**2 - 18*q + 30234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 10. Let r(c) = -5*c + 133. Let h be r(9). Put w, h, -5 in ascending order.\nAnswer: -5, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -0*c + 4*c + 4*a, -2*c = -4*a - 16. Suppose 0 = 7*o - 12*o - 20. Let y = c + o. Calculate the lowest common multiple of y and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363191 rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/65*-4*4\/8*1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4110133 (base 5) to base 14\nAnswer: -1a233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 337\/5 - 1473\/20. Let l = 749\/116 + -6\/29. Calculate the common denominator of l and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43006087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*p - 100, -5*f = -2*p - 57 - 66. What is the highest common divisor of f and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 9:52 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 10*h - 5. Let m be n(-9). Suppose -16 = -m*o + 8. What is the third derivative of 2*p**4 + p**2 - 2*p**4 + o*p**4 wrt p?\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 380 = -3*u, 3*p + 2*p = 5*u - 640. Let v = u - 94. Let g = -22 + v. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12 = 2*p - 0*p, 0 = -3*p - t + 10. Let x(v) = -7*v**2 + p*v + v - 2*v**3 + 9*v**2 - 2. Determine x(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110077267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 3502*g**2 - 9985*g - 784. Differentiate v(u) wrt u.\nAnswer: 7004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, x: 9}. What is prob of picking 2 x?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - (1 + 2 - 0). Suppose g*s + 2*x - 56 = 0, 3*s - 26 - 58 = 2*x. Suppose 0 = 6*t - 2*t - s. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 + 95. Suppose t + 44 = 3*z. Let u = 5 + -2. Solve 5*w - b = -u*b + z, 5*b - 18 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvcvrqkkckvkkvqzv. Give prob of sequence qz.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 467895815 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 866.5252 weeks to days.\nAnswer: 6065.6764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.039 and -7?\nAnswer: 0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 4. Calculate the remainder when g is divided by 6\/10 + 66\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 36259*x + 217553. Calculate i(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13704533?\nAnswer: 17, 199, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1963 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55, 98, 129, 142, 131, 90?\n\"Answer: -j**3 + 50*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20)\/sqrt(4)*5 - sqrt(5) - (sqrt(5) + 0 + sqrt(245))) + -3 - (sqrt(135) + sqrt(135)*1)\/(-1*(sqrt(12)\/sqrt(4) + sqrt(3) + sqrt(3)))) + 4)**2*4.\nAnswer: -16*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = 5*s - b + 15, 12 = -4*s + b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1111010110111001 (base 2) to base 8\nAnswer: 172671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -40*z + 44*z. Let h(j) be the third derivative of -1\/8*j**4 + 0*j**3 + z*j**2 + 0*j + 0 - 11\/40*j**6 - 7\/20*j**5 - 1\/14*j**7. Factor h(t).\nAnswer: -3*t*(t + 1)**2*(5*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007243942 rounded to five decimal places?\nAnswer: 0.00724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 2001?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 191964 divided by 941?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 11*y = 5024. Let x = 316 - y. Solve -3*a - 2*t - 4 = 0, x*t - 11 = 3*a + 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 18 = -g - 2*f, 19 = g + 4*f. What is the closest to -1\/4 in -4, g, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -11*q + 49, 3*q = 2*s + 23 - 35 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3332 (base 4) to base 9.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6 - 15) + 5 - (3 + 19)) + 7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29974 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 267 and 356.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5198b (base 14) in base 4?\nAnswer: 300001213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - o + 3*o)*(4 - 5 + 3) + (-6*o + 3*o - o)*(1 - 6 + 3)*(-2 - 5 + 5) + o + 0*o - 4*o in the form f + g*o and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4603144*i**4 - 5923239*i wrt i?\nAnswer: -55237728*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 20*q + 252. Calculate the remainder when 177 is divided by i(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = 0. Let h = x - -2. Solve 0 = 2*m - h*l, 2*l = 4*m + 4*l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10\/11 (b) -0.4 (c) 4 (d) -0.17 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 33. What is the third derivative of 0*j**6 + 9*j**6 - 4*j**y + 5*j**2 + 0*j**2 wrt j?\nAnswer: 1080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 26*r**2 - 6*r - 52. Let c be 3\/(-2)*(-13)\/(-39)*52. What are the prime factors of n(c)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -686*q**5 - 3642556659*q**4 - 1300912879*q**3 + 669041042*q**2 + 361069740*q + 42478792 = 0.\nAnswer: -5309849, -2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*g = -20, -2*x - 2*x = -2*g - 10. Suppose -2*y = -x*y - 50. Let i = 35 - y. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.5 - -5. Let u = -35 - -35.1. Which is the nearest to 0? (a) u (b) -1\/6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and (-14 - 176\/(-12))*369.\nAnswer: 7872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 10:36 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) + (-39)\/(-12). Let q = b - -2. Factor 4 - 4 + c - 2*c**2 - q*c - 2.\nAnswer: -2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.59404 * 247.\nAnswer: 146.72788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t**2 + 2*t - 1. Let v = 19 - 2. Let w = v - 16. Calculate k(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -20. Let b be -9*((-188)\/(-3))\/(-4). What is the least common multiple of t and 5\/15 + b\/9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 6:45 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -9831\nAnswer: 157296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 36, 2, -14, -7 in increasing order.\nAnswer: -14, -7, -2, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -29, -56, -77, -92?\n\"Answer: 3*q**2 - 36*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5677.\nAnswer: 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4 = 22, -3*q - 1 = -h - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -1063\/162?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 1)*-3 - sqrt(931) - -5*(sqrt(931) - (0 + sqrt(931))).\nAnswer: -28*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*z**3 + 16*z**3 - 151*z**5 + 1 - 32*z**3 - 107*z wrt z?\nAnswer: -3020*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 81.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/6)\/(8\/48). Let r = 31 - v. Calculate the remainder when r is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.3 + 30. Let x = 2 + -3. Let i = -1 - x. Which is the nearest to i? (a) 2 (b) 1\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5*v - 2 - 41, q = -5*v - 31. Let t be q\/4 - 5\/(-10). Let x(i) = 1 + 6 - 8 + 8*i. Give x(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28 and 139.2786.\nAnswer: -3899.8008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -57?\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*t - 1, 3*u + 8 = 3*t + 8*u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1977361?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 318*h**2. Let q(r) = 3*r**2. Determine q(v(n)).\nAnswer: 303372*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 236 = 70*y + 101, 0 = 3*y - 5*y + 4*a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z + 23. Determine h(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.096208613 - 0.096221213. Let s = a + -16. Round s to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 98708 = -108640. What are the prime factors of w?\nAnswer: 37, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 8*p**2 - p - 5. Let v be o(-8). Suppose 6 = -3*k, -r + 3*r + 3*k + 30 = 0. Put 0, r, v in decreasing order.\nAnswer: v, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 81*b**2 + 159*b - 90. Calculate q(79).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yks when three letters picked without replacement from ekysoik?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/1)\/((-29778)\/(-4256) + -7)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.9 - -6. Let j = -0.95 + 5.65. Let a = d - j. Round a to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/8 + 2\/4. Let d(q) = 3*q**2 + 1 - 3*q - 6*q**2 + 4*q + p*q**2. Let y(z) = 6*z**2 + 2*z + 3. What is -4*d(k) + y(k)?\nAnswer: 2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -17*g**2 + 79*g - 27. Give k(3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 7:09 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7963\/120 + -332\/5. What is the second smallest value in 0.2, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddnnmdnn. What is prob of picking 1 d and 1 m?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83048.\nAnswer: 2, 7, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + n - 55. Find the second derivative of 9*g**3 + 10*g - 35*g - g**3 + n*g wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 806632877 to the nearest integer?\nAnswer: 28401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12634000 divided by 14.\nAnswer: 6317000\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**7\/252 - y**6\/180 - y**5\/30 + y**4\/18 + 19*y. Factor f(d).\nAnswer: d**2*(d - 2)*(d - 1)*(d + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*r + 46 = 3*r, -32 = 4*i + 2*r. Let c be 2\/i + (-64319)\/2988. Let o = -1\/498 + c. What is the common denominator of o and 67\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8\/401 + -16569\/6416. Let g = 10727 + -9407580\/877. Let v = -30701\/5262 - g. Calculate the common denominator of n and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s + 73*s + 14*s.\nAnswer: 107*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bddbbddbbbbdbb. Give prob of sequence bd.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81317, 81268, 81219?\nAnswer: 81170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180403*d - 179430*d = 31136 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -869, -909, -409, 631, 2211, 4331?\nAnswer: 6991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134 - -422144223?\nAnswer: 422144412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 16 - 49 = 0. Solve p - i*p = -4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -696\/25 + 2063\/75. What is the nearest to -22\/5 in z, -1, 2, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2235 and 308043345?\nAnswer: 2235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 109, -3, -1.\nAnswer: -3, -1, 5, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j - 4. Calculate m(-15).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10176423 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 3:32 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5149 - 4625. Solve 440 = -12*a + c for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**12*c)*(c*(c\/((c*c\/(c*(c\/(c*c**(-1\/6)*c*c*c*c))\/c))\/c))\/c*c)\/c*c)\/((c**0*c)\/(c*c*c**(-2\/11))) assuming c is positive.\nAnswer: c**(-991\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -4\/7 (c) -0.04022\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97177871 is divided by 32392622.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77*g**5 - 2*g**3 + 3*g**2 - 2012*g + 3?\nAnswer: 1540*g**3 - 12*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1614\/37, 0.5, 10?\nAnswer: -1614\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 36*y**2 - 373*y + 42. Calculate the smallest common multiple of 15 and q(12).\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18640 and 6524.\nAnswer: 130480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-30)\/x*x*x**(-22))\/(x**19\/(x\/(x**4*x))) assuming x is positive.\nAnswer: x**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 277788844 and 283.14?\nAnswer: 277788560.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 7*o**2 - 9*o + 6. Let x be w(-8). Suppose -x*v = -22*v + 360. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-32))\/(1\/(-12)). Which is smaller: p or 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2687 is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 16) to base 13\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 0 + 1 - 2. Let o(u) = 919987*u - 9 + 2 - 919983*u. Determine 6*d(i) - o(i).\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 2:44 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*(-1728)\/896*3\/(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 655880 divided by 95?\nAnswer: 6904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooox when four letters picked without replacement from xoxoxxoooxxxxoxooxxo.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {s: 8, u: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 328024 by -81.\nAnswer: -328024\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*v - 69, 3*v - v + 120 = 3*r. Let p be 1\/(39\/18 + -2). Suppose -r + p = -j. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 - 7 - 96) + (3 - -13).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93375129?\nAnswer: 3, 3697, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 - (-5 - (3 + -2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 7*k - 4. Let d be n(-6). Suppose -336 = -t - 11*t. Let h be 10\/4*t\/(-14). Put h, d, 5, 3 in decreasing order.\nAnswer: 5, 3, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -6. Let z = 3 + -3.2. Which is the closest to -4? (a) 2 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 789.4066 weeks?\nAnswer: 477433111.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**2 - 20*f - 20. Let t be p(6). Solve 3*r = t - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220324247 to the power of 1\/3, to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -12*y - 24. Let j(x) = -14*x - 30. Let t(a) = 6*c(a) - 5*j(a). Determine t(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -152 + 678. Let d = 998 - s. Is 59 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6273102 centimeters to millimeters.\nAnswer: 6.273102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 11*j + 21. Let y be l(-9). Suppose -4*k + 17 = m, -y*m + 8*m - 5*k - 35 = 0. Solve 3*x = 6, x + 2*x + m = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*l + 36*l - 432021. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1215\/440)\/((-6)\/(-8)) and -93\/64.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-5\/6)\/y)\/(y\/(y\/y**4*y)*y)*(y*y*y*y*y**(-2\/5)*y*y*y)**(-2\/39))**(-25))**15 assuming y is positive.\nAnswer: y**(60175\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3824 is divided by 291.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tivsstssirsisvstit. What is prob of picking 1 i and 1 t?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h + 6*h + 5*h - 5*h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630*a = -3*p + 625*a - 29, p + 3*a + 15 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5831088 and 31152?\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107 and 13696?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*n - 14 = 0, i - 4*n - 7 = -0*i. Let c be (-2)\/i + 16\/6. Let x be (c\/1)\/(8\/(-44)). Round x to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a + 29. Let x be j(10). Let o(y) = 29*y**2 - y + 2. Let b be o(x). Calculate the greatest common factor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 - -4.5. Let p = m + -2.4. Which is the nearest to -0.2? (a) -0.4 (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (17 + (13 - 9) + -7 - 28)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154509 is divided by 15089.\nAnswer: 3619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.99 + 0.01. Let o = a - -1. Let v = o + -2.9. Sort -2, -0.3, v in increasing order.\nAnswer: -2, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.02 + -6.83. Let m = 0.19 - j. Let s = 13 + m. What is the biggest value in 2\/11, 0, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeeneen?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 4:48 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1027080 is divided by 540.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u**(1\/2)*u)\/u)**(2\/115)\/((u*u\/(u*(u*u\/(u*u*u*u**13))\/u)*u)\/(u*u**(-4))))**(-6) assuming u is positive.\nAnswer: u**(13782\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 102049 at least as big as 102049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*h + 23*h - 16*h to the form o + c*h and give c.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9479*t**3 - 5*t**2 + 42*t - 75. Is u(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42015 take away -2014504275?\nAnswer: 2014462260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 27, 3, -3 in descending order.\nAnswer: 27, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*1*(2*(sqrt(11)*-4 + sqrt(11))*4 - sqrt(55)\/(sqrt(5) - 1*sqrt(40)\/sqrt(8) - sqrt(5)))**2.\nAnswer: -116380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*v + 2*w - 372, -v + 79 = -4*w. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3864, 2448, -1402, -8904, -21276?\n\"Answer: -203*m**3 + m**2 + 2*m + 4064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3979, -3, 10, 3 in ascending order.\nAnswer: -9, -3, 3, 10, 3979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62329 or 463?\nAnswer: -62329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**5 - 141*i**4 - 836*i**3 + 5851*i**2 + 5. Let m(d) = 140*d**4 + 836*d**3 - 5836*d**2 - 4. Let o(l) = 4*j(l) + 5*m(l). Factor o(v).\nAnswer: 4*v**2*(v - 4)*(v + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24715357 or -0.49?\nAnswer: -24715357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104025835*f*y**3 + f*y**2 - 3*f*y - 1232182*f - y**2 - y - 1 wrt y.\nAnswer: -624155010*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 + 109*q**2 + 888*q - 20. What is i(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58888620?\nAnswer: 2, 3, 5, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.291216 + -0.007031. Let s = l + 0.299. Round s to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 2*i. Suppose a + 0*a = 4. Let t = -188 - -206. Let b(g) = -4*g**2 + 9*g. Let u(q) = a*b(q) + t*m(q). Let n(s) = 6*s. Give n(u(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113077743103562\/3411 - -33150906532. Let j = 2435\/9 + w. Let v = j - 35167\/6064. What is the common denominator of -85\/2 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/4)\/((-3)\/(-6)). Which is smaller: m or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-32)*(9 + -9). Let z(l) = -6*l. Let j be z(-2). Suppose s = -j*y - 1892 + 5720. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -137*v**4\/3 + 809*v**2\/2 - 74*v. Find the first derivative of q(d) wrt d.\nAnswer: -1096*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flflsfsfsvs. Give prob of sequence vl.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3136608 divided by -130692?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Add together -157545.8 and -61997.\nAnswer: -219542.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -1\/60*o**5 - 1\/180*o**6 + o**3 + 0*o**2 - 2 + 0*o + 0*o**4. Let q(r) be the third derivative of t(r). Factor q(g).\nAnswer: -2*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - (350 + 3) - -5. Let a = 585 + b. Is 26 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67286, -135095, -202908, -270725, -338546, -406371?\nAnswer: -474200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -589, -5, -0.3, 3 in descending order.\nAnswer: 4, 3, -0.3, -5, -589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -85278 (b) -0.5 (c) 4\/3 (d) 0.07 (e) 1\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**3\/2 + 125*y**2\/2 + 435*y\/2 + 315\/2 = 0.\nAnswer: -21, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 - 548*s + 552 = 0. Calculate s.\nAnswer: -138, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from vpvvcvcvvevevvjeepc?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 3:30 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 4:02 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 251857.1 years?\nAnswer: 251.8571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -518835.\nAnswer: 3113010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*u - 14*u - 13*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*sqrt(18))**2.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 477. Let h be v(-3). Calculate the highest common factor of h and 560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - (-94 + (111 - 58)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Let g(d) = -77*d - 175. Let j(x) = -24*x - 55. Let n(l) = -5*g(l) + 16*j(l). Suppose 5*s = 4*v - 10, 2*s + 3 = -v - 1. Give s*c(i) - n(i).\nAnswer: i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5))**(-2\/31)*(c*c**1)\/c**(-7)*c**0\/(((c\/(c**(-3)\/c))\/c)\/c*c)*(c\/(c*c\/(c*c\/(c*c\/c**4)))*c)\/c**2 assuming c is positive.\nAnswer: c**(1089\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 964 or -193?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6194*j = 6099*j + 76950. Calculate the greatest common factor of j and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2658*q**3 + 346*q**2 + 333*q**2 - 681*q**2.\nAnswer: -2658*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*v + 1680 = -2*y, -y - 5779*v = -5781*v + 48 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 2926.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 1:18 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 54*m**2 + 11*m + 22. Let y be a(7). Let g = -1225 + y. What is g rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32533640 by -143320.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*1*sqrt(405))**2 - sqrt(15)\/(sqrt(15)\/sqrt(80))).\nAnswer: -24*sqrt(5) + 2430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9337214 to 4 decimal places.\nAnswer: -1.9337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 39090608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495224 is divided by 2814.\nAnswer: 2774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ppttttttttpttttttptt?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, a: 13, k: 3}. Give prob of picking 2 a and 1 z.\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 5:04 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*d + 36 = -2*l + 109*d, 2*l = 2*d - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6579 and 100147?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_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: Let k = -0.0398 - -0.039800014. What is k rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 1924.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*u**2 - 93*u**2 + 47*u**2 + 11*u**3 - 2 to f*u + l*u**2 + m*u**3 + t and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**3\/3 - j**2\/2 - 43*j - 37. Let f(w) be the first derivative of q(w). Determine f(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (847\/(-119) + 7)*((-39339)\/62 + 31).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, 23, 34, 45?\n\"Answer: 11*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -4, -10 in decreasing order.\nAnswer: 45, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 8, -5*g + 6*o + 16 = 2*o. Suppose 11 = 2*w - 4*k + 3*k, 4*w + 4*k = -8. What is the second derivative of -w*j**3 + g*j**3 + 5*j - 6*j wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**6*n**2 + 4131*l**6 - 2*l**2*n**2 + 40789*l**2*n wrt l?\nAnswer: 360*l**3*n**2 + 495720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120\/9551 - -87802823\/38204. Which is smaller: x or 2297?\nAnswer: 2297","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 325, 348, 397, 478, 597, 760, 973?\n\"Answer: z**3 + 7*z**2 - 5*z + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 776144 and 27100?\nAnswer: 19403600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1476088 and 11808704?\nAnswer: 11808704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 2502201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -65, -101, -175, -287, -437, -625, -851?\n\"Answer: -19*z**2 + 21*z - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - 3) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 588\/196*82\/(-18).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45*(-58750)\/15*20\/(-25). Round k to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 - -0.16. What is the smallest value in s, 1, 10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-10))\/((-9)\/(-120)). What is the first derivative of 72*q + n*q + 20 + 17 + 41 wrt q?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10*r**3 - 5*r**2 + 5*r - 5. Let f(x) = -11*x**3 + 5*x**2 - 6*x + 6. Let a(p) = 5*f(p) + 6*t(p). What is the third derivative of a(l) wrt l?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -9*v**3 - 7*v**2 + v. Calculate p(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/21, 518.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**5 - 8565*o**4 - 3646470*o**3 + 18421210*o**2 - 11145525*o - 33204645 = 0. Calculate o.\nAnswer: -859, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27366453 and 781.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p. Suppose 7*d + d - 344 = 0. Suppose -36*l - 7 = -d*l. Determine g(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3, 4, -0.56, 0.11, 20 in descending order.\nAnswer: 20, 4, 3, 0.11, -2\/9, -0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 51, 59, 69, 81?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 116832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 6:37 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 39 = -47. Sort 3, -4, -14, t.\nAnswer: -14, -4, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 926293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -211250414 (base 6) in base 10?\nAnswer: -3708010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -97*y**2 + 48*y**2 - 4*y**3 + 43*y**2 + (-2 + 5 - 4)*(-3*y**3 - y**3 + 5*y**3).\nAnswer: -5*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -142, -82, -22, 38, 98, 158?\n\"Answer: 60*r - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2609 + -1456. What are the prime factors of i?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1157 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 6*j + 54. Determine p(-5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 1954816?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1243627 is divided by 1039.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(-1\/14)\/b)\/b)**(-2)*((b*b*b\/(b*b\/b**(-6\/11)*b)*b)\/b)**(-1\/2) assuming b is positive.\nAnswer: b**(186\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -36. Is 5 a factor of 2*1\/(-2) - 88\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 + -60. Suppose -2*d + 217 = w, 4*w = 2*d - 366 + 124. Suppose -285 = -3*i + 3*t + t, -d = -i - 4*t. What is the remainder when i is divided by l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 6\/481 (c) -14 (d) 2\/9 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -c + 5*s, -4*c + s - 4 = -1. Let h(p) = -38*p**2 + 265*p - 8. Let j(d) = -6*d**2 + 41*d - 1. Let k(n) = -2*h(n) + 13*j(n). Calculate k(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/1355 and -17\/57?\nAnswer: 77235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1073232 is divided by 1072972?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*0*(-7)\/35.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7208625 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14540 divided by -11\nAnswer: 14540\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otbtb. Give prob of sequence obb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -175.194?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z - 42 = -549 + 67 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 2*i + 2*i)*(-11*i**4 - 13*i**4 + 15*i**4) - i + i - i**5 + 0 + 0 - i**5 + (4*i + 2*i**4 - 4*i)*(2*i - 5*i + 2*i).\nAnswer: 32*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 3*a**2 + 2. Let g be p(-3). Let f be -1 + g + 0 - 1. Suppose -r - 2*r + 84 = f. What is the highest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -235, -580, -1151, -2062, -3427, -5360, -7975, -11386?\n\"Answer: -19*x**3 + x**2 - 215*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101.426 - 101.326. Let k = 177\/5 + -35. What is the closest to i in -0.5, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4959*m**2 - 44630*m + 1. What is h(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -55.3 (b) -0.06 (c) 32 (d) -1\/4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 20 = 0, 0 = -37*m + 42*m - 2*g - 444027. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 238*k**2 - 1417*k - 11471. What is j(244)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/6 and 91\/645.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x - 4 + 5*x + 12*x + 15*x**2 - 32*x. Is m(2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26318817 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 134946192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-88)\/220*(-4)\/((-8)\/(-425)). Calculate the greatest common divisor of 14195 and w.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 342 + -145. Let w = 417 - p. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -18*b + 43. Calculate l(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -11?\nAnswer: -32\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(2450) + sqrt(2450) + 1)*4 - (sqrt(2450) - -4*(sqrt(2450) - (sqrt(2450) - 2*sqrt(2450) - sqrt(2450)))) - -1*5*1*sqrt(2450))*3)**2.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (896010\/(-5) - (-3 - -1))*50. Round a to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 14203374\/3960 - (-3 + 1). Let i = -17917\/5 - g. Calculate the common denominator of 28\/9 and i.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 7 (b) -2\/15 (c) 0.5 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 1, b: 1, e: 2, u: 1, p: 2}. What is prob of sequence nt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/28)\/(25165\/(-6059732)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 450*h**3*w**2 - 6967*h**2*w**3 + 395457*h*w**3 - 11*h*w**2 wrt h?\nAnswer: 2700*h*w**2 - 13934*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21)\/(-2))\/((-5)\/2 - -3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*((3*(sqrt(228) - 2*sqrt(228)))\/(-6*(sqrt(12) - (2*sqrt(12) + sqrt(12))))*3)**2.\nAnswer: 139\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + g**2 + g**5)*(5 - 4 + 5) + (-3*g**5 + 5*g**5 - 3*g**5)*(2 + 2 - 3) + 2*g**5 + g**5 - 4*g**5.\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261 and 502599.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.819 + -0.181. Let q(a) = a**3 + 9*a**2 + 9*a + 8. Let i be q(-8). Sort f, i, -2\/3 in descending order.\nAnswer: i, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37.6 in -1\/2, 0.45, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040366408 take away -14523?\nAnswer: 14523.0040366408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -3\/2*h**2 - 1 + 0*h. Let a(r) = 11*r**2. Calculate a(f(g)).\nAnswer: 99*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2) + (-17 - -9) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 6:11 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 3, 0.5, -3\/2, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/4 - 2\/(-8). Suppose k*o - 3*o - c = 28, 3*o = 5*c + 4. Suppose -4*b + 2*p = -34, -2*b + 0*p - 2*p = -o. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = m + 4, -m - 1 = -3*r - 6*m. Let j(x) = -3*x**2 - x + 4*x**2 + 3*x. What is j(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from {j: 2, m: 1, n: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3 - 1. Let o(v) = 2*v**2 - v + c*v - v**3 + 3 - v**2. What is the units digit of o(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*i + 7, -16*i - 11 = -17*i + 3*y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13208 and 226187.\nAnswer: 1809496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 96. Let y = -37 - l. Suppose 20 = y*v - 7*v. Let g(c) = -c**3 - 2*c**2 + 7*c + 6. What is g(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -48.59 (b) 6 (c) 69 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*y - 5 - 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/11 - 394722*o\/11 + 35884 = 0. What is o?\nAnswer: -197362, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 + (3 - 8) + (36 - -2)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2055 divided by -15.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25941, 51817, 77709, 103623, 129565?\n\"Answer: q**3 + 2*q**2 + 25863*q + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514*x**3 + 202*x**3 - 715*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1060 = 7*q - 2*q. Calculate the remainder when q is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(189))\/sqrt(9)*6)\/((4*(sqrt(70) + (sqrt(70) - sqrt(70)*-1)))\/sqrt(10)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/16 of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 5. List the prime factors of b - 0 - (5 + -12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + ((-8)\/30)\/((-512)\/(-4992))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 - -1. Let l = 0.3 - g. Let u = 4.1 + -0.1. What is the third smallest value in l, 2\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*f = -0*n + 6, 0 = -2*n - 3*f - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20 and 694?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40304741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v. Let q be i(4). Find the common denominator of 7*4350\/1421 + -22 and (12\/16)\/(q\/(-10)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9338590 by 2.\nAnswer: 4669295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9379\/(-5810) - (-14)\/10.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v + 15. What is the remainder when g(7) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, q: 2, a: 6, c: 8}. What is prob of picking 1 q and 1 z?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3464126\/4678655 + -38\/14485. Let m = 18\/17 + o. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 37*a**2 - 2*a + 3. Let j be g(2). Suppose -4*n + 651 = j. Let m be (-11)\/22 + 37\/2. Calculate the highest common factor of m and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(-23*w**2 - 2*w**2 - w**2 + (-w - 2 + 2)*(-1 + 1 + w)).\nAnswer: 81*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50 and 1.47851?\nAnswer: 73.9255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -144, -157, -178, -207, -244, -289, -342?\n\"Answer: -4*w**2 - w - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550 (base 13) in base 14?\nAnswer: 1d0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffffwwffffwfwffwff?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - (-9450)\/(-280))\/(5*(-2)\/64).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6991 + 0.2991. What is the closest to s in -2\/17, 0, 31?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(8\/(-2))*-23. Let i be (18\/15)\/(3\/15). Let v = f - i. Is v less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 26 = 4*w, 4*w = -n - 2*w + 26. Is 26 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1840 = 61*f - 69*f. Let n = 753 - f. What are the prime factors of n?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 874*q**3 - 771 + 771.\nAnswer: 874*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 19.7. Let m = 6 - 6.4. Which is the smallest value? (a) -4 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r + 67 = -377. What is the highest common factor of 2292 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, -6, -13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11723 is divided by 174.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101011101001110100110010 + 10?\nAnswer: -1101101011101001110100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.0451 - -27. Which is greater: 0.1 or x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 7. Determine y(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 960 = 9*t - 3*u, -4*t + 746 = 2*u. Suppose 1430 = -176*g + t*g. What is the smallest common multiple of 50 and g?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 58 + 68. Which is smaller: k or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3238 is divided by 2894.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 795\/3 + 8\/(32\/20) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i + 48. Let n be z(-5). Let c(g) = -g**2 + 3*g + 5. Let o(m) = m**2 - 4*m - 6. Let y(f) = n*c(f) + 4*o(f). Determine y(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.259 take away 9.03?\nAnswer: -8.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079438409 to the power of 1\/2, to the nearest integer?\nAnswer: 32855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24363564.\nAnswer: 2, 3, 347, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (7 - (12 - 15)) - 13.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 8\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (5 + -19 - -16) + (25 - 5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/7 - 52*x**3 + 16192*x**2\/7 + 33856*x\/7 = 0.\nAnswer: -2, 0, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 204436996 to the power of 1\/2, to the nearest integer?\nAnswer: 14298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*c + 4*d - 120, -2*c + 74 = -2*d. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -3)\/(2\/(-16)). Calculate the greatest common factor of p and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*j**3 - 2*j + 6*j + 27*j**3 - 4*j.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 26 = 4*x, -7*z + 2*z - 10 = 0. What is the nearest to 0.9 in 2\/7, -3\/4, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -124\/55 (c) 155\/2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(132))\/(sqrt(12) - (sqrt(96)*-1)\/sqrt(8)))**2 - ((-3 + 0 + sqrt(275) - (1 + sqrt(275) + sqrt(275) + 4)) + 3)**2.\nAnswer: -1189\/4 - 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 - 7 - -2) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-159)\/63 + 1\/(-3))\/((-386)\/1351)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228795574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.719 - 7.7. Let c = -0.381 - v. What is the closest to -2 in -0.3, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -1028995.44?\nAnswer: -308698.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 936772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 3166 - ((-9 - -3) + 5). Let n = -2190 - a. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/12)\/(3 + -4) + 3. Let b = f - 2. Let 0 + 1\/2*y**2 + 0*y + b*y**3 = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - (2 + 0 + -2). Let l(i) = 3*i**2. Let c(y) = 2 - 2 - 6*y**2. Let d(m) = q*l(m) + 4*c(m). Let b(o) = 2*o. Give b(d(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 9. Suppose -h + t*h - 10 = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - q - 14, -495*r + 2*q = -498*r - 23 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(3*sqrt(4)))\/sqrt(2).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 7*j**4 - 18*j**3 - 31*j**4 - 4*j**5 + 8*j**3 - 10*j**3 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 23*s**2 + 10*s - 3. Let z be m(-24). Let a be (z\/(-28))\/((-3)\/(-24)). Suppose 0 = a*c - 230*c - 672. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (-16 - -21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -73319200 to the nearest one hundred thousand.\nAnswer: -73300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 291483216.\nAnswer: 874449648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6 = -3*m + 3*c, c = 4*m - 11. Suppose r - m = -0*r. Suppose -5*z + r*o - 2*o + 275 = 0, 0 = 4*o. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 - 35*t + 361. Suppose 3*z - y = 12, 4*z + 0*y = -4*y. Let q(g) = 3*g**2 - 36*g + 361. Let u(n) = z*q(n) - 2*i(n). Factor u(j).\nAnswer: (j - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1695 less than 2.52222?\nAnswer: -1692.47778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3\/11 + (-6922006)\/80234\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 3:53 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/(-15)*3 + (-3296)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 936\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 1. Let s(f) = f**3 - 3*f**2 + 1. Let x be s(3). Let d(j) = -1 + 2 + 2 - 2. Determine x*d(h) - 2*a(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-2 + 1 - (95 + -105)) + -17\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176 + -177.39. Let t = -3.61 + u. Let l be 3*(16\/(-6) + 2). What is the third biggest value in l, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*v + 13 = 0, -5*v = -s - 2 - 22. Let o = -22 + 29. Let y = 148 + -140. Solve -3*d + u - o = -s, -y = 4*d + 5*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 12*h = -50*h - 684. Sort 2, -4, h, 13 in descending order.\nAnswer: 13, 2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k + 5*m - 17079, -4*m = 5*k - 85311. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 936 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*q + 36 = 0, 7*s - 5*s = -5*q + 26. Suppose 4*c - 8 = -d + 5*d, s = d + c. Solve -5*m + y - 18 = 0, d*m + 2*y - 16 = 8*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/56 and -89\/32421284.\nAnswer: 64842568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/135)\/(134\/(-60)). Let v = -832\/8643 + s. Let a be -1 - (-1 - -2 - 1). Is v less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1226500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1. Let d = 18 + -14. Let l = d + u. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - y. Let m be l(3). Suppose 2*s - m = -s. Calculate the lowest common multiple of 4 and ((-6 - -3) + 14)*s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 5*y**4\/12 + 3*y**3\/2 - 46*y**2. Let g be 4\/(-10) - 37\/(-5). Is a(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -c - 31, 0*j + 2*j - j - 165 = -27*c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - j**2 + 20. Let i = 1 + 17. Let b = i - 18. Let r be k(b). What is the highest common factor of 140 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((25 - -3) + (-4 - (-14 - -12))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 11*p = -0*c - c - 31, -8*c + 6*c + 10 = 6*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -708695 by -54515.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighteen fifths of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 8)*(-2)\/8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.0362.\nAnswer: 0.01086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407, 457, 171, -457, -1433, -2763, -4453?\nAnswer: -6509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4\/t)\/(t\/(t\/(t**(-6\/7)\/t)))*(t*t**1)**(2\/113))**(-8\/7) assuming t is positive.\nAnswer: t**(-30960\/5537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 254*n*r**2 + 34*n*r + 228401*r**2 wrt n.\nAnswer: 254*r**2 + 34*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8547 is divided by 1398?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2\/27 (c) 2\/5 (d) -4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25294 - -42330. List the prime factors of v.\nAnswer: 2, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 5*x + 5. Let o be (-2 - 1\/(-1))*(5 + 0). Calculate g(o).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lni when three letters picked without replacement from plnpi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukaa when four letters picked without replacement from kaaaaukkauakka.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 0 - (95 - 94).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358402341?\nAnswer: 3, 11, 3011, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.603644 minutes to days.\nAnswer: 0.053196975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7819071 rounded to two decimal places?\nAnswer: 1.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -945526322*y**3 + 7279413*y.\nAnswer: -5673157932*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2)*(p*p\/p**(-9\/5)*p)\/p)**(2\/7) assuming p is positive.\nAnswer: p**(33\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -406 take away 241?\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5*p = 32, 4*i + 1 = 4*p - 27 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15908 divided by -97\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 0*f - 14539*f**2 - 14436*f**2 + 29106*f**2.\nAnswer: 131*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 3 (c) -0.115 (d) 2\/15 (e) 0 (f) 252\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 228231 + -228231. Let k = 0 - 1. Which is the nearest to 2\/7? (a) -5 (b) 1\/2 (c) p (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53485 >= 1156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (101*m + m**2 + 103*m - 260*m)*(-360 - 428 - 228 - 47) + 4 - 4 + m**2 in the form o + p*m**2 + t*m and give t.\nAnswer: 59528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 3 - 6\/(-18)*-12. Which is the nearest to -0.2? (a) f (b) 0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 284 - 284.5. What is the closest to -2 in -0.4, 1\/14, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - 6. Let y be -8*1\/(g\/9). Let d = y - 11. Let u(k) = -k - 6. Determine u(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2 + 66682240*y - 555815141427200 = 0. Calculate y.\nAnswer: 16670560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -171 - (1 + -1 + -815 + 765 - -25).\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13643828, -13643832, -13643838, -13643846, -13643856, -13643868, -13643882?\nAnswer: -13643898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 118*j**2 + 1. Let q = -25 - -23. Let k be (-2 - 0)*q\/4. Is w(k) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17066 - 17060. Let p(d) = 10*d + 9. Suppose 0 = -8*i + 3*i + 55. Let h(o) = -5*o - 5. Give i*h(x) + v*p(x).\nAnswer: 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.017 + -1.017. Which is the closest to 0.14? (a) 1\/4 (b) g (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 0. Let f be (-1)\/(-3) - o\/30. Solve -5*q + 4*b + 4 = f, -5*q + 3*b = -q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 84966.18?\nAnswer: 1444425.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q - 1. Let g be r(2). Suppose 0*p - 5*p + 15 = 0. Determine c so that -9*c**2 + g*c - c**4 + 0*c**4 + 0*c**4 - 2 + 200*c**p - 195*c**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -259*28\/1470 - 16\/(-10)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a hour in minutes?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/((-40)\/148) - 2 and 43\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 4 - 2) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7.8. Let d = q - 0.8. Is d at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4888, 5375, 6200, 7375, 8912, 10823, 13120, 15815?\nAnswer: 18920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, q: 3, d: 4, e: 1}. What is prob of picking 1 q, 1 e, and 2 d?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101102002012 (base 3) to base 10.\nAnswer: -736349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (147 - 171) + (61 - (6 + 3))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -80016078, -80016088, -80016100, -80016114, -80016130, -80016148?\n\"Answer: -w**2 - 7*w - 80016070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2016625 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/10 (b) 2\/13 (c) 53\/5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + 80. What is the derivative of -9*d**3 - 95 - v - 219*d**4 + 232*d**4 wrt d?\nAnswer: 52*d**3 - 27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*n + 1 = 0, 3*x - 4*n + 4 = 1. Let g be ((1 - 0)*-3)\/(-1). Suppose -5*a = -3*y - 14 - 12, -g*y - 10 = -a. Put a, x, 9 in descending order.\nAnswer: 9, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 + 159\/2. Let g = 0.028 - 59.028. What is the biggest value in g, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1 + (1 + 0 + 0)*(0 + 4 - 3) + 2 - 4 + 1)*(1 - 4 + 4)*(470 - 10*d**2 - 470).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-343)\/7*(-29)\/((-696)\/(-24)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5179804.\nAnswer: 2, 7, 184993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1508290*i + 371363?\nAnswer: 1508290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.25 - 168\nAnswer: -166.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 5 (b) 1\/5 (c) -8 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i**4\/7 - 438468*i**3\/7 - 7999621710*i**2\/7 + 400819394448*i\/7 - 4724696823264\/7 = 0.\nAnswer: -36564, 19, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -654 <= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/5 of a millimeter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*v = 99*v. Let v - 7\/4*a**3 - 15\/4*a**2 - 9\/4*a - 1\/4*a**4 = 0. Calculate a.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62900766*g**4 + 62900766*g**4 + 8314*g**5 + (-6 + 5 + 3)*(-3*g**5 + 4*g**5 + 0*g**5).\nAnswer: 8316*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 86 = -5*v - 319, 0 = -3*v - 2*k + 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548135383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 0*i - 10*i + (2 + 2 - 5)*(0 + 0 - i).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v - 30 = -5*j, 3*j = 5*v + 38. Let q be (-16)\/40 - (154\/v + -1). Factor -17*g**3 - 25*g**2 - 7*g**4 - q*g - 2*g**3 + 0*g - 4 - g**5.\nAnswer: -(g + 1)**3*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 52 = -12*w. Let m(u) = 930*u**3 + u - 1. Let c be m(-2). Is 2\/w + c\/(-39) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -9. Let m(t) = t**2 + 3*t - 2. Let h be m(o). Suppose -31 = -2*n + x - h*x, 4*n = -3*x + 63. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 1. Let c(f) = f**3 + 4*f**2 - 4*f. Let q be c(-5). Let t(w) = -3*w + 62. Let i be t(21). Let d(l) = 4*l**2 + l - 6. Give i*d(z) + q*a(z).\nAnswer: z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 3.3. Let v = d - -0.4. Which is the nearest to -2\/3? (a) -1 (b) -1\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93916080 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 4. What is the third derivative of -3*g**2 + w*g**2 + 6*g**4 + 0*g**2 - 2*g**4 wrt g?\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4 + 2 = 0. Let b be s - -10 - (2 + -1). Suppose -5*n - 2*p + 185 = 0, p - 24 = -n + 16. What is the greatest common divisor of b and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -0.2. Let o = -2701.9 - -2702. Which is the nearest to f? (a) -2\/5 (b) 1\/6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 22*j + 50 = 20*j, -3*k + 35 = -j. Solve -5*v - 22 = 3*y, -2*y - 5*v - 13 - k = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1286431 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b = -4*r - 75, 57 = -19*r. Suppose 0 = g - k - 0*k + 17, 3*k = -2*g - 39. What is the remainder when (g\/7*1)\/((-3)\/b) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.97944 milligrams in kilograms?\nAnswer: 0.00000897944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(110) + 2*sqrt(110) + sqrt(110)) - sqrt(110))\/((-3*sqrt(30))\/sqrt(3)))**2.\nAnswer: 3971\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*j - 183*j = -3*b + 7, 5*b - 11 = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 132297.9 to the nearest one thousand.\nAnswer: 132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 513, 1021, 1529?\n\"Answer: 508*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(396) + sqrt(396) + -3)*-2 + 5 + (1*(-1 + sqrt(396)))**2 + 2).\nAnswer: -820 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 - 2*y + 2*y + (-3*y**3 + 2*y**3 - y**3)*(-y**2 - y**2 + 4*y**2) + 2*y**5 + 0 + 0 + 4*y**5 - 1 + 2 + 13*y**5.\nAnswer: 13*y**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/(6\/12)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5067 and 2187.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 844731 smaller than 844730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7829813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781*b = 767*b + 126 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.88 - -1.08. Which is the third smallest value? (a) n (b) 1 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.199447 years?\nAnswer: 0.00199447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*r*x**3 - 7*r*x - 212*r + 325*x**5 - 5*x**2 - x wrt x?\nAnswer: 42*r*x + 6500*x**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g + 4. Let k(v) = 41*v - 66. Let u(w) = 8*w - 13. Let h(z) = 2*k(z) - 11*u(z). Let b(x) = 4*h(x) - 11*s(x). Let l(n) = 3*n. Determine b(l(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2365144.\nAnswer: 2, 239, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 116*r**2 + 1099*r + 113178. Give j(-115).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112613?\nAnswer: 19, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) 0.5 (c) 0.105 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*k + 1486 = 2246 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-323)\/19 - (-12 + 1). Which is greater: -21 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-5*16\/100?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 380 - 379. Let f(w) be the first derivative of -b - 12\/7*w + 4\/7*w**2 + 4\/21*w**3. Factor f(o).\nAnswer: 4*(o - 1)*(o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -77. What is the remainder when v is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 less than 135?\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 1, r: 1}. What is prob of picking 1 x and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2 + 5*x - 4. Suppose 0 = -3*j - u + 1, 3*u + 2 = -4*j. Let y be m(j). Let b(k) = 6*k - 8. Calculate b(y).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6043831 to the nearest integer?\nAnswer: 2458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 224.69186 rounded to 1 dp?\nAnswer: 224.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.92 and 229.\nAnswer: -4561.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.186 and 24.\nAnswer: -4.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13244147 + -541441976.86755853. Let j = 541441857.5999022 + d. Let a = j - -119.4. What is a rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 380816*j - 9063801616.\nAnswer: -4*(j + 47602)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/24 + 23\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -35. Suppose -233 = -q + x, -u*q + 3*x - 7*x + 448 = 0. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r - 17*r = -2*v + 2, 18*v + 144 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 160 - 136. Let c(v) be the second derivative of 0*v**2 + 4*v + 0 + 2\/3*v**3 + 1\/4*v**b. What is the second derivative of c(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 - 8*(-455)\/(-70)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (28*23\/(-184))\/((-2)\/(-1*8))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.3? (a) 3 (b) 1.2 (c) 1\/5 (d) -1\/16 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(160\/(-190)) + 12. Solve -5*q = -25, -3*f - v = -12*q + 7*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 - 0. Let w = x + -8.89. Let l = w - -9.1. Which is the second smallest value? (a) l (b) -1\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -81, -115, -139, -147, -133, -91?\n\"Answer: u**3 - u**2 - 38*u - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.807 to zero decimal places.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514*c**2\/5 - 516*c\/5 - 2\/5 = 0. Calculate c.\nAnswer: -1, -1\/257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4235 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/2830)\/((-4)\/((-48)\/9)). Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 13 = 5*k + 4*y, 5*y = 5*k + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -662081 in decreasing order.\nAnswer: 1, -2, -662081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*sqrt(480)*-2 + sqrt(480)))\/(sqrt(90)*-1*-6)*-6.\nAnswer: 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*r - 8*r + 16, r = -f + 6. Solve -2*i = -f*i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 453, 1024, 1981, 3330, 5077?\nAnswer: 7228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 892*n**3 - n**2 - 2*n. Let q(u) = -892*u**3 + 2*u**2 + 2*u. Determine -3*b(v) - 2*q(v).\nAnswer: -892*v**3 - v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 557535.4 millennia in years?\nAnswer: 557535400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**2*r*z - 118*g**2*u**2 + 2*g**2*u*z - 117*g*r*u**2 + 217*g - 3*r*u + 6*u**2*z**2 + 14*u*z**2 wrt u.\nAnswer: -236*g**2 - 234*g*r + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 4)*(4 - 3 - 2) - 5 + 1 + 2 + (-2 - 2 + 3)*(4 - 1 - 9))*(-2*i**3 + 6*i**3 - i**3).\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -1558?\nAnswer: 1561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1256434.\nAnswer: 2, 628217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21365*a**2*t**4 + a**2 - a*t**4 - 940246*a - 2 wrt t?\nAnswer: -85460*a**2*t**3 - 4*a*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**4 + 367*k**2 + 3976*k?\nAnswer: -60*k**2 + 734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -22. Solve 3*c = 2*z - 11, 0 = -5*z + 4*c - c + l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = -2*q - 50, 2*z + 12 = -q + 14. Solve 5*n + 20 = 4*v, 4*v + 8 = q*n - 22*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -62*g - 1564. Let m be p(-26). Sort 3, 2, 20, m.\nAnswer: 2, 3, 20, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -20.\nAnswer: -20, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3958*a - 3959*a - 194*i = -969, 3*i = -4*a + 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1)*(2 + 2 - 6) + 0 + 2 - 3)*(-1 + 13 - u - 23).\nAnswer: 3*u + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 t when three letters picked without replacement from vygvgfygtfyvyjjt?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.279 - -0.579. Let o = -166 - -165. Which is the biggest value? (a) o (b) 2\/9 (c) x (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -1072265.28?\nAnswer: -1072260.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -2\/5, -0.227, 62, 0, -0.12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/14*(260\/120)\/(26\/6).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298 divided by 25567.\nAnswer: 298\/25567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49\/120 + -1\/120. Let x = 1.3 - -1.7. What is the third biggest value in x, h, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10\/23*u**3 - 2\/23*u**4 - 14\/23*u**2 + 0 - 6\/23*u = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106a350 (base 11) to base 12.\nAnswer: -763ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 37*v - 37470. What are the prime factors of v?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -11.73 (b) 1\/3 (c) 8 (d) 5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -1325528, 0, 1 in ascending order.\nAnswer: -1325528, -4, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 - 3*m**2 - 2*m**4 + (2*m**3 - 3*m + 3*m)*(-3*m - 2*m + 3*m) + (-26 - 12*m**3 + 26)*(-2*m + 3 - 3) + 5*m**4 - 2*m**4 - 4*m**4.\nAnswer: 17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4854042822 to the nearest integer?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 9075526\nAnswer: 2\/4537763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -44819*3*(-5)\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.18 - -0.58. Let p = 3 + -4. Let u = -8.1 - 0.9. Which is the nearest to p? (a) w (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232934304?\nAnswer: 2, 7, 29, 189799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -348, -1216, -2624, -4572, -7060, -10088?\nAnswer: -13656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 144703668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4aab (base 15) in base 13?\nAnswer: 731c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8076 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**3 + 2*v**2 + 5*v - 11. Let z(c) = 2*c**3 + 11*c**3 + 5*c**2 + c**3 + 14*c - 32. Let t = 7 - -10. Let m(j) = t*y(j) - 6*z(j). Give m(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 10*h**2 - h - 20. What is the lowest common multiple of i(-8) and 6?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 5*v**2 - 13*v - 8. Let d be q(-6). Differentiate 9*u - d + 8*u + 5*u with respect to u.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 16*t + 588. Determine k(-37).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 301322?\nAnswer: 301331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 8:11 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**3\/6 + y**2 + 49*y - 1. Let v(s) = -s - 5. Let l be v(-12). Give d(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5 = i + b, 3*i - 15 = 5*b. Suppose 0 = q - 0 - 3. Find the first derivative of 3*t**3 - 2*t**3 + 8 + i*t**q - 3 wrt t.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35.9962 - -36. Round i to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in 5, 0.02, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 148*v - 54*v + 0*v**2 + 31*v.\nAnswer: 3*v**2 - 171*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Suppose 0 = -4*a - 2*d + 10, -a - z*a = -4*d - 45. Suppose -31 + 6 = a*i. Let v(w) = 11*w**2 - 8. Let j(p) = -7*p**2 + 5. Give i*v(t) - 8*j(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 481162469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8264 + -6633. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7295 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 25. Let o be ((-10)\/8)\/(k\/16). What is the greatest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 933 + -822. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4883377 to the nearest 10000.\nAnswer: 4880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/93 and 50\/27.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 29 = -63. Suppose -12 = -6*r + 6. Solve -p = r, -l - a = l + 5*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 14*i + 33. Let c(w) = -w**2 + 14*w - 32. Let f(x) = 5*c(x) + 6*u(x). What is f(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3090 = m - 5*v, -3*m - 2*v + 3099 = 0. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*o + 831 - 777 = -1155 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - sqrt(216)\/(-1*sqrt(9)))\/(sqrt(8) - 3*sqrt(8)*-4).\nAnswer: 2*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2402184896 to the power of 1\/3, to the nearest integer?\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-126) + 0)\/(3\/(-171)). Which is smaller: k or -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*x + s, 0 = -5*x + 2*s - 0*s + 40 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 - 409 + 4*a**2 + a**4 - a**4 + 393 + 2*a**3 to p + o*a**3 + b*a + j*a**4 + n*a**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 1:20 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*c + 10*c - 205 - 3. Let z(g) = -13*g**2 - 21*g + 11. Let l(r) = 7*r**2 + 11*r - 6. Let t(i) = -11*l(i) - 6*z(i). Calculate t(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -2\/3, -14, -6, 584?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 10:53 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + 1 + 2 + sqrt(65)\/sqrt(5) + (1*sqrt(1300)*-5)**2).\nAnswer: -162500 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-five halves of a tonne?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 551 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w*y - 866*w - 1450*y with respect to w.\nAnswer: -y - 866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w. Let c(v) = 217*v + 50. Let g(u) = 108*u + 23. Suppose -26 + 5 = -4*h - 3*p, 4*h + p - 23 = 0. Let i(x) = h*c(x) - 13*g(x). What is i(s(l))?\nAnswer: 306*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*b + 69, 556*o - b = 558*o - 201. What is the smallest common multiple of o and 562?\nAnswer: 29224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-90*n**3 - 318*n**3 + 103*n**3)*(2*n + 2 - n + 0*n) in the form w*n**3 + f*n**2 + c*n**4 + j*n + a and give c.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*k + 177 = 0, -5*k + 4*k - 183 = -3*l. What is the remainder when l is divided by 2\/8 - 1106\/(-56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + b - 893*b**3 + 3 + 934*b**3 - 1 to i*b**3 + g + o*b + u*b**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32260.242 hours to weeks.\nAnswer: 192.02525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 57696 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*u = 121*u + 968 + 419 + 6407 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21406 - 15?\nAnswer: -21424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 598.062 months in years?\nAnswer: 49.8385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5276013 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {c: 1, k: 1, f: 3, w: 4, y: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/31))**50\/(n**(-29)*n*n**12\/n))**(4\/41) assuming n is positive.\nAnswer: n**(2508\/1271)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (-3 + 9))*60\/18. Let x be 12\/u*10\/4. What is the units digit of (-12)\/36 - 517\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, s: 2}. Give prob of picking 2 h and 1 s.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 3*j + 2. Let l = 2 - -1. Let v be ((-1)\/l)\/((-4)\/(-24)). Give f(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -135 + (60 - (191 + -120))?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w**2 - 3 + 3)*(-11 + 11 + 13*w + (w + w + 0*w)*(5 - 4 + 1) - w - 4*w + 3*w)*(-w + 0*w + 2*w).\nAnswer: -45*w**4 + 30*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 593929068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675536?\nAnswer: 2, 42221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*(2 + (-5 + sqrt(245)*-1 - 1*(sqrt(245) + -2))*6*-1))**2.\nAnswer: 3024000*sqrt(5) + 32112000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37067*t**5 - 18*t**4 + 24*t**3 - 31*t**2 + 9235899?\nAnswer: 2224020*t**2 - 432*t + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*k = -w - 19, 2*k = 4. Suppose 3 = -w*p + 23. Suppose 2*u - p*u = -78. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 + -276. Does 36 divide -2 + 5 + 1 - j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4789\/11965 + 3\/11965. Which is the nearest to 9? (a) 20 (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69930 by -945.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31893615 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/4446090 and 14\/135.\nAnswer: 4446090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 + 18 = 0. Let z(u) be the first derivative of u**2\/2 + 5*u - 13. Let q be z(0). What is the nearest to 1\/2 in d, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1234 + 0.2834. Which is the fourth smallest value? (a) 1 (b) 3\/4 (c) -4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (678\/1695)\/((-2)\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -229, -703, -1501, -2629, -4093, -5899?\n\"Answer: -p**3 - 156*p**2 + p - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 496690457400.\nAnswer: -496690457399.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2096 is divided by 679.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2159, -918, 1159, 4072, 7821, 12406?\nAnswer: 17827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 302 + 3*i - 4*i + 161 - 222 + 198 to o*i + w and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/55 or 1\/2?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 109, 15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j**5 - 40*j**4 - 49*j**4 + 88*j**4 + (-j - 2*j**2 + j)*(2*j**3 + j**2 - j**2).\nAnswer: 3*j**5 - j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 792349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 7:38 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/4, 1\/6, 28, -4, -12, 0.4 in descending order.\nAnswer: 28, 4, 0.4, 1\/4, 1\/6, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**2 + 7*p**2 - 26*p**2 - p**2.\nAnswer: -35*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3115 + 6126. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11603597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1036150*j - 1036165. Calculate i(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -w. Solve 2 + w = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-4))\/((-6)\/(-8)). Let x = -0.5873 - 2.4127. Which is the biggest value? (a) 4 (b) x (c) 13 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-336)\/180 + 3*(-12)\/(-18).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2 (c) 0.07 (d) 0.0911 (e) 1\/1043\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - 6800\/(-260))\/(-2*(4 + -2))\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99683658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9610617*u**4 - 26789292*u wrt u.\nAnswer: 115327404*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, v: 5, t: 4, d: 3}. What is prob of sequence tdt?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k + 1 + 6*k - 1.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 5 (b) 2\/15 (c) -7 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -104954691, -209909383, -314864075, -419818767, -524773459, -629728151?\n\"Answer: -104954692*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 32456 and 3153935728?\nAnswer: 3153903272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16432.08597 - -16432. What is p rounded to three dps?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -14. Let c = 2\/1419 + 3868\/1419. Let z = c - 248\/99. Which is bigger: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010101111011111 + -11011110001?\nAnswer: -10011001011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0*m**5 + 0*m**4 - 1\/480*m**6 + m + 0*m**3 - m**2 + 0. Let u(h) be the first derivative of b(h). Find k such that u(k) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + 37*f**2 + 5*f + 1919*f**3 - 1970*f**3 in the form z*f**2 + r*f + v + b*f**3 and give b.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132 - 120?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8280978 divided by 6\nAnswer: -1380163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*v**2 + 0 + 12*v - 15*v + 1 to the form f*v + j + g*v**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160854.206 + -0.9?\nAnswer: 2160853.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 161 = -631. Suppose 5*z = -b + 167, -3*b + 5*b + 142 = 4*z. Let k = z + n. Calculate the greatest common divisor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10428, 10422, 10424, 10440, 10476?\n\"Answer: l**3 - 2*l**2 - 7*l + 10436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.053 + -0.253. Let a be (1 + (-11)\/9)\/2. Put 2, a, g in decreasing order.\nAnswer: 2, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-138)\/308 + 3\/33. Let p = u - -235\/21. What is the common denominator of p and 2\/(-4) + 21\/516?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221111 + -10?\nAnswer: 10221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/((0 + 3)\/3). Suppose 2*t = -3*l + 2, n*t - 3*l = 2*l + 5. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 29.8. Let n = j + 3. Let y be -1*1\/7 + 0. Which is the closest to 0? (a) n (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65429046 divided by 19\nAnswer: -3443634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - f - f + 19 = 0, -g - 3*f = -23. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25992*i**4 - 25991*i**4 + 205*i**5 + 223*i**2 + 32*i - 233*i**2 wrt i?\nAnswer: 12300*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**5 + 2*o**5 - 3*o**5 + (o - o - 2*o**3)*(-15*o**2 - 5 + 5).\nAnswer: 33*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.21, 0.4, 1\/5, -60, 7.\nAnswer: -60, 1\/5, 0.21, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 234480623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42655981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -331\/135 or -1?\nAnswer: -331\/135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62\/45 + -727\/180. What is the common denominator of 290\/(-48) - 2\/(-6) and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*j = -79*j + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from {i: 5, n: 2, u: 2, x: 2, b: 2}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 279.4?\nAnswer: 283.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1898 - -1904. Solve 9*v - 4*v + 5*n = 10, -2*v - w = -3*n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = n - 10, -25 = n - 5*n + b. Let x(q) = 109*q + 140. What are the prime factors of x(n)?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1209*x + 65. Let d(f) = 67*f - 85. Let p(s) = -198*s + 233. Let v(y) = -11*d(y) - 4*p(y). Give 3*a(q) - 65*v(q).\nAnswer: 52*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.36773157 rounded to one decimal place?\nAnswer: -19.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (78 - 37) - ((4 - 2) + 34).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10)*0\/(-18)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 645 - 632. Let g = -0.3 - 0. What is the third biggest value in -0.1, -1, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3635, -8052, -12497, -16982, -21519, -26120?\nAnswer: -30797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -158*((-2128)\/38)\/(-336)*((-3)\/(-1))\/1\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 108*c + 53*c**3 - 6*c**3 - 44*c**3 - 2*c**3.\nAnswer: c**3 + 108*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -27.4. Sort -0.6, -1, p in descending order.\nAnswer: p, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - j = -4*t - 5, t + 13 = 4*j. Let d = 3 - t. What is the closest to -1 in d, -6\/7, -0.5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*b + 1692 + 2335, -2*l - 2003 = 3*b. Does -1015 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151 + 155. Let v = 49.15 - 49. Which is the biggest value? (a) -0.3 (b) 1\/9 (c) w (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbjj when four letters picked without replacement from {w: 1, j: 3, z: 2, n: 1, p: 5, b: 1}?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*y + 35 = 0, -4*p - y = 17 - 2. Let d be ((-20)\/(-3))\/p*6\/(-28). Factor 0 + 0*n + d*n**3 + 0*n**2.\nAnswer: 2*n**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 q, and 1 k when three letters picked without replacement from {q: 1, p: 3, b: 2, k: 6}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 d when three letters picked without replacement from qdquqqqqqqdqqdq.\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-13 - -29 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 151*w + 152*w + 4.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.05, -2\/3, 3, -4\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 + 157. Let g = x - 88. Let z = 39 + g. What is the remainder when z is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -364 + 370. Suppose y*w = 5*w - 2*g - 2, 3*g = -2*w - 3. Does 2\/1923 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/13 in 0.4, 91\/6, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, -0.7, -6 in ascending order.\nAnswer: -6, -5, -0.7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -16. Suppose u = -l - 3*j + 8, l - 2*j = 30 - 12. Let o(v) = l*v + 5*v**2 - 14*v. Let d(r) = -3*r. Give d(o(f)).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1723*l - 869*l - 138 = 860*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -88060305 divided by 5?\nAnswer: -17612061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3636094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from jkgjhjkkkhkjhjkqg.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 262397?\nAnswer: 262400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/15, -0.3, 14225, 2, -0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -143, -312, -557, -884?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -9*i**6\/10 + 17*i**4\/12 - 25*i. What is the third derivative of l(z) wrt z?\nAnswer: -648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqnu when four letters picked without replacement from ucuqqqqqqqqnqmnq?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence papp when four letters picked without replacement from aappap.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 21 = -7*n. Suppose -n*a = -2*a + 5, 5*t - 93 = 3*a. What is the remainder when 105 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q - 11. Suppose 54*r + 35*r = -117*r - 1030. Let p(s) = -11*s - 22. Calculate r*z(h) + 2*p(h).\nAnswer: 3*h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 352808857733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v**5\/7 + 870*v**4\/7 + 2118*v**3\/7 - 3792*v**2\/7 - 6813*v\/7 - 1782\/7 = 0 for v.\nAnswer: -3, -1, -1\/3, 2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715 is divided by 109.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vevav. What is prob of sequence evv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1424.9 + 1421.2592. Round k to 1 dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 460 and 85674448?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 856441976?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/143 (b) 0.4 (c) 1 (d) 4\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2512502 + -1712502. What is j rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1256, -1211, -1118, -971, -764, -491?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c - 2. Let u be h(-3). Let f = u - 18. Solve 0 = -f*a - 16, 2*p - 16 = 4*a + a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4218053497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-276)\/1058)\/((-9)\/138). Suppose 0 = -6*g + 3*g + 15. Let o(l) = -2 - 5*l + g*l + 3*l - l**2 + 4*l. Calculate o(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 140055.\nAnswer: 140055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*p - 8 = -7, -4*j - 10 = -2*p. Suppose 4*y = 7 + 1. Let b be 15\/y - 0 - 1\/j. Calculate the greatest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11171*m = -8212*m - 278146 for m.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:48 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(52)\/sqrt(4))**2 + sqrt(13) - (sqrt(117) + -1 - sqrt(13))**2.\nAnswer: -15 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -752236.7 to the nearest 1000.\nAnswer: -752000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(5 - (-5 - (8 - 19)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 11*n**3\/6 - 2*n - 6. Let t(u) be the first derivative of y(u). Let p(q) = 62*q**2 - 44*q**2 - 13*q**2. What is t(p(s))?\nAnswer: 55*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127512 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, k: 1}. Give prob of picking 2 w and 1 k.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35895042 by 9.\nAnswer: 3988338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2194 = -2*d + 4*d. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - -3?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 339*a**2 - 139*a - 139. What is o(-1)?\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, 34\/575, -1, -5, 0.3, -2\/3?\nAnswer: 34\/575","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106213929?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c - 16. Determine n(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Simplify ((j\/(j**5\/j*j)*j**(1\/2)\/j)\/(j**(-1\/2)*j*j)**22)\/((j\/(j\/(j**(-2\/15)*j))*j*j**6*j)\/((j\/(j**4\/j)*j)\/(j**(-2)*j))) assuming j is positive.\nAnswer: j**(-1391\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 7\/3 (c) 0 (d) 1\/5 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 335554 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 29030.58 * 3.7\nAnswer: 107413.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 + 201?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4051189 (base 10) in base 14?\nAnswer: 776549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 559b29 (base 12) to base 13\nAnswer: 38a3c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*d**3 - 24352*d**2 - 2422180*d - 19873764 = 0. What is d?\nAnswer: -743\/4, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142233 is divided by 61?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 8*j - 8. Let q be y(-7). Let l(m) = -1 - 3*m + m - m**2 + 2*m**2. List the prime factors of l(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.345328 litres in millilitres?\nAnswer: 1345.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 194396*j**4 - 4*j - 737110?\nAnswer: 777584*j**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 475.109 and -5?\nAnswer: -2375.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 132453, 264931, 397419, 529923, 662449, 795003, 927591, 1060219?\n\"Answer: c**3 - c**2 + 132474*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, e: 2, p: 8, x: 4}. What is prob of sequence ppoe?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*d - 3493, 5*t - 3*t = -5*d + 6983. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 421 and 0.348.\nAnswer: 421.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55725 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 879.4556 decades to millennia.\nAnswer: 8.794556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -15*p + 6*p + 6*p + 5*p + 2*p. Let n(c) = -207*c. What is n(m(a))?\nAnswer: -828*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -6. Let x = 2 - j. Let s = 0.5 + -0.7. Put s, 4, x in ascending order.\nAnswer: x, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1250) + sqrt(1250) + (sqrt(1250) + 4*sqrt(1250)*4 - sqrt(1250)) - sqrt(1250))\/(2*sqrt(360)*1))**2.\nAnswer: 36125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 145062.90445 to the nearest 100.\nAnswer: 145100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 - 16*t + 20. Let i be l(-9). Let q be 92\/12*6\/i. Solve 0*v + 9 = -3*v + c, 0 = -5*v - c - q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/3 + 152006*d - 87936976\/3 = 0. Calculate d.\nAnswer: 193, 227816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 28 = -43. Let v be 8 + 4\/(0 + 2). Solve -k*r + v = -0*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47425 and 6475.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(4*l**5 - 1 + 1) - 4*l**5 + 3*l**5 + 2*l**5 + (0*l**3 - 3*l**3 + 0*l**3)*(4*l**2 - 2*l**2 - l**2).\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) 8 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -152888 or -152890?\nAnswer: -152888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57652, -115307, -172962, -230617, -288272?\nAnswer: -345927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*k + 5*p - 25, 2*k - 5 = -p. Suppose 0 = -b - k - 4. Sort b, -3, -2 in decreasing order.\nAnswer: -2, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33446 = -2462*z - 104426 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-6)\/(-48) + (-2)\/(-6). Put o, 20, -2 in increasing order.\nAnswer: -2, o, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799 is divided by 69?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 130, 288, 474, 688, 930, 1200?\n\"Answer: 14*w**2 + 116*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b - 1 - 1 + 2 + 3. Let p be i(-6). Calculate the greatest common factor of p and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 5*k + 17. Let d be (-111)\/(-9) + (-2)\/6. Let r be j(d). What is the tens digit of ((-5)\/((-25)\/r))\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-42)*3 + (-249)\/210. Which is greater: 1\/4 or c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + 3.6. Let r = k + 0. Let p = -1.059 - -1.159. What is the second biggest value in r, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63\/22 + -713\/66. Let p(g) = -g**3 - 2*g**2 - g + 2. Let u be p(-3). Let m = u + h. What is the nearest to m in 2\/5, 0.5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 22 = 2*z, 5*z = -4*x - 25 + 74. Let m = -4 + x. Solve 2*r = 2*c, -2*r - m = -3*c - 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*l + 2691 - 893 = 344*l - 10322 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 7726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zccpzzzppppvp. What is prob of sequence vp?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w. Let x be (-2 + 1)\/(2 - (-15)\/(-6)). Let z(h) = -h**2 - 8*h**2 - h**x. What is z(t(l))?\nAnswer: -40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -4 - (5 + 4) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 72\/5 of a gram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.196216 rounded to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k - 15*k - 26 + 19*k in the form i*k + g and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4 - 140*h**3 - 1826*h**2 + 21840*h - 48672 = 0. What is h?\nAnswer: -39, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1941 and 2.4.\nAnswer: -4658.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/(306\/(-336)) + (-1)\/(-3). What is the second derivative of 10*a - 2*a**2 + 7*a**4 + 2 - l*a - 3*a**2 wrt a?\nAnswer: 84*a**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -10) + -6 + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r. Let o be i(1). What is the remainder when 35 is divided by 5 + -7 - (-16 - o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/143? (a) 96 (b) 1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -2*v + 3\/2*v**2 + 2\/3*v**3 - 1\/4*v**4 - 13. Calculate m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**12*q*(q*(q\/((q**5*q)\/q))\/q)\/q*q*q)**(-48) assuming q is positive.\nAnswer: q**(-528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**5\/20 - 7*w**4\/12 - 3*w**3\/2 + 5*w**2 - 4*w. Let h be k(8). Suppose -h*d = -6*d + 112. Does 28 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*m = 4*a - 4, 0 = -5*a - 3*m - 8. Suppose 0*n + 3*n - 12 = 0. Put a, n, 5 in descending order.\nAnswer: 5, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112 + 107. Let r = -5 - -11. Let g = -143.8 - -144. Which is the biggest value? (a) g (b) r (c) o (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 8, v: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = 30 - 42 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -403*3\/1716 - 2\/(-8). Let k = -3 + 3.1. What is the second smallest value in k, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6*6\/(-44)*1)*-3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37926800 and 60208?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -11 - ((3 - -2) + -6 + 28)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44251 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-18)*((-75)\/9)\/(6 - 4).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, d: 1, j: 1, r: 5, u: 1}. What is prob of picking 1 r and 1 e?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -0.392582494.\nAnswer: -0.092582494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -703 - -1022. Suppose x - v = 2*g, -2*g = 5*x - 0*g - 1631. Is x a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*y - 6*c + 7*c, 5*y + 3*c = 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 661132943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-14)*-12*-2*(-5)\/20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 818811, 1637617, 2456423?\nAnswer: 3275229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(2\/9)*u))\/(u**6\/u))\/(u*u\/u**1)**(-3\/4) assuming u is positive.\nAnswer: u**(-161\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(2) + -5 + 1)**2 + 2*(sqrt(12)\/(sqrt(12)\/sqrt(3)))**2)*1.\nAnswer: -8*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/21 + (-1292)\/(-266). Let l(s) be the second derivative of -1\/10*s**r + 1\/30*s**6 + 1\/21*s**7 + 0*s**3 + 0*s**2 - 1\/12*s**4 - 6*s + 0. Factor l(v).\nAnswer: v**2*(v - 1)*(v + 1)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 47*b - 794. Calculate z(16).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146546 is divided by 952.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88384.1 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/40 and 1992\/(-80) - 2\/(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22004 + -10935. Suppose -4*u = -47289 + z. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 422906434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291383206.\nAnswer: 2, 1543, 94421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(-174)\/(-14355)*-11?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifiggchgchfhgfcc. What is prob of picking 1 f and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.815 + -0.765. Let u = -235 + 235.1. Which is the closest to 1\/5? (a) u (b) 2\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -55850 + 4?\nAnswer: -55849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -17333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6007\/16 - -375. Let z = -493\/48 - f. Find the common denominator of z and -5\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 2\/3*t**3 - 31\/4*t**4 + 0*t + 11\/2*t**2 - 25. Find the third derivative of g(h) wrt h.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 4*n + n)*(-4 - 17 - 18 - 5 + 0 + 4 + (-4 + 5 + 0)*(2 + 3 - 3)) as a*n + t and give a.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 3. Suppose -11 + 71 = u*t. Suppose 1020 = -3233*c + 3250*c. What is the greatest common factor of t and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, w: 6}. What is prob of picking 1 k and 1 w?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/2 (b) 3 (c) 2 (d) -4 (e) 14 (f) 99\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -4, 1\/3, 231, -2 in ascending order.\nAnswer: -16, -4, -2, 1\/3, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 5:04 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405219.\nAnswer: 3, 293, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92820816030 take away 0.013?\nAnswer: 92820816029.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y = 42*y + 125. Let h be y\/(-78) + 4*(-1)\/24. Let s = 0.11 - 0.15. Which is bigger: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59723.3 milligrams to nanograms.\nAnswer: 59723300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*y = 185*y - 412*y + 369 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0227137771 rounded to 3 dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (5 + 4*sqrt(112))**2)*-1 + 1.\nAnswer: -1812 - 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-6) - (-8 - -7))*-12. Suppose 0 = d*i - 260 - 20. Suppose -m - 4*t = -6*m + i, -5*m = -3*t - 30. What is the remainder when 22 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 m when four letters picked without replacement from {y: 4, r: 2, j: 2, q: 4, m: 5}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 185216 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 800509 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577046203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 52 - 50. Let n = -27 - t. Let x(i) = 3*i - 17. Let u be x(n). Solve g + g = u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*l, -133*u + 132*u + 16 = 3*l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2069854 (base 10) in base 12?\nAnswer: 8399ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17504 + 34999 - 17495 - 4*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -102.5. Suppose 5*s + q + 23 = 0, 5*s + 42 = 2*q + 13. Let n be (-2)\/s - 4\/15. What is the second biggest value in n, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101\/262 + 15\/131. Let r = 5 + -4.6. What is the nearest to 0 in 0, h, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (2 + 10 + -3 - 8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11871490 and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = v + 12. Let u = -33 - -46. Calculate the remainder when u is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Suppose -5*z - 2 + 17 = 0. Suppose -z*a + 6 = -3. Solve s = a*g - 6*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by -6148\nAnswer: -51\/6148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 245 - 202?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200 - -204. Calculate the least common multiple of 144 and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 736. Let p be a(0). Suppose 52*q + 93 = 56*q + u, -70 = -3*q - u. Calculate the highest common factor of q and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8)*n*n*n**(-1\/6))\/(n*n\/n**(-1))**(4\/11) assuming n is positive.\nAnswer: n**(-479\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 902*b**5 - b + 187 wrt b?\nAnswer: 18040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 5332.\nAnswer: 10664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 4*j - 4. Let t be m(3). Let o(x) = -6 + 35*x - t*x - 15*x. Determine o(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - 51. Suppose m - 17 - 6 = -2*s, -4*s = r*m - 45. Suppose -7*k = -s - 44. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 28*z**3 + 535*z**2 + 69*z + 201. Give u(-19).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 1. Calculate m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q + 83. Let x be n(-11). What is the highest common factor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - j = q + 929, -2 = j. Suppose -q = -9*h + 4*h - 2*a, -3*h + 201 = -4*a. Let g = -57 - -99. Calculate the highest common factor of g and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09272169 and -0.2?\nAnswer: -0.018544338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 2\/3 (c) 0.4 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -428, -647, -866?\nAnswer: -1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1734, 1722, 1696, 1650, 1578?\nAnswer: 1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(4 - 5\/1) + 627. Is 626 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 41, 0.4, -1?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -23*p + 22*p. Suppose -3*g - 25 = -g + p*u, -12 = g + 2*u. Calculate the remainder when 33 is divided by ((g\/(-3))\/((-12)\/18))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**9\/2016 - r**8\/560 + r**6\/120 + r**5\/80 + r**3 + 9. Let y(s) be the third derivative of p(s). Factor y(w).\nAnswer: -3*w*(w - 1)*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 45 = -6*c. Let q(a) = c - 16 - a + 5 + 5. Is 4 a factor of q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 84 - i - 42 as m*i + t and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -46743*g + 23380*g + 1 - 431*g**2 + 23370*g. Let i(f) = 2*f. What is i(s(a))?\nAnswer: -862*a**2 + 14*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a = -18*a + 4*c + 32, -32 = 2*a + 4*c. Solve a = -139*v + 144*v + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1108*r**3 + 2*r**2 + 7*r - 9. Let s(q) = 553*q**3 - q**2 - 3*q + 4. Let y(p) = 3*j(p) + 7*s(p). What is the third derivative of y(a) wrt a?\nAnswer: 3282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -3, 6, -38 in decreasing order.\nAnswer: 6, 2, 1, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6825432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1102370646?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-19)*24\/528*-11?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0*m - 3 - m)*(23 - m - 37 - 16).\nAnswer: -2*m**2 - 57*m + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8968 - 8953. Solve 2*n + 4*t = 18, 2*n + 2*t = b - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/(k\/(k*k\/(k\/(k\/k**2)*k)))*k**9*k\/k**(-4))\/(k**(2\/47)*(k**(-6\/11)*k)\/k)**45 assuming k is positive.\nAnswer: k**(20489\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82515685 by -16503137.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 5*q + 5. Let v(w) = -3*w**3 - 8*w + 7. Suppose 0 = 932*h - 1139*h - 1449. Give h*o(r) + 5*v(r).\nAnswer: -r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -3 - 0\/2. Let t = x + 2. Suppose p = -2*c + 7, 0 = 4*c - 2*c - 8. Is t at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(36\/16*(-4)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {z: 2, s: 4, o: 3, a: 4, i: 3, x: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 180211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2377630 and 0.4.\nAnswer: 2377630.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 24 = -5*b, -4 + 18 = w + 3*b. Let x be ((-575)\/(-45) - -1) + w\/9. Which is bigger: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -17. Let u(q) = -5*q**3 + 5*q**2 + 4*q + 3. Let i(b) = 2*b**2 + b + 1. Let v(o) = -3*i(o) + u(o). Calculate v(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1796\/6*6\/4.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-15)*6\/(-2). Suppose -g = -4*b + 11. Suppose -15 + b = -o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13 + 16)\/(15\/10). Solve -5*i = 4*i - x*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/2, -1, -15.\nAnswer: -15, -1, -0.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43848)\/1458 - -23) + (-2)\/(-27).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 7*n**2 + 3*n - 3. Let b(j) = -7*j**2 - 2*j + 2. Give 3*b(s) + 2*u(s).\nAnswer: 2*s**3 - 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) -1\/2 (c) 606 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/22 - (6 + -6). Is l not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most -38\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5)*v)\/(v*v**(3\/7)))\/((v*v\/v**(-9)*v)\/v**(-3\/5)) assuming v is positive.\nAnswer: v**(-94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/4*16\/18. Let a be ((-3)\/(-6))\/((-2)\/(-16)). Suppose 5*b = -a - 1. Is b >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 506466*b - 1328. Let f(r) = -7616*r + 20. Determine -5*a(g) - 332*f(g).\nAnswer: -3818*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150458 and 171952?\nAnswer: 1203664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*a + 2*q + 128, 3*a = -4*q + 136. Let f be -2 + 321299\/a + (-1)\/4. Round f to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 8*h + 6. Let k be x(-7). Let t be 26\/42 + 7\/(-21). Which is smaller: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4244 and 0.1.\nAnswer: -0.04244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*w**3 - 43*w**3 - 42*w**3 + 117*w**3 - 215*w.\nAnswer: -4*w**3 - 215*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (328\/12 - 0)*3 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12966752?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37444, -37571, -37770, -38035, -38360?\nAnswer: -38739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 6*m - 4. Let y be k(-4). Is 8\/y*(-158)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*u**2 + 652850*u - 435240 = 0. What is u?\nAnswer: -43524, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(35\/2) - (-58)\/20)\/(9535\/(-19070))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3666865, 7333740, 11000619, 14667502?\n\"Answer: 2*n**2 + 3666869*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 2*a - a + (7 - 3 - 2)*(a - a - a) - 6*a + 0*a + 3*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18155.5 millennia?\nAnswer: 1815550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(sqrt(52) - sqrt(13)) + 2 + 5.\nAnswer: -2*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 52*d - 57*d + 3 - 2 + 3*d**2. Let w be b(2). Solve 0 = w*u + u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 77620.179 hours?\nAnswer: 462.024875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 7*z + 3. Let n be r(-7). Suppose 2*c = 4, 4*h + 2*c - 10 = h. Suppose 2*a = 4*a + 6, -5*x - 6 = h*a. Solve 0 = -w - x*w + n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*g = 91*g + 79*g - 540 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven fifths of a century?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3059045 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -10.5. Let t = -29.3 + 24.3. Put r, t, 12 in decreasing order.\nAnswer: 12, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12042352 (base 6) to base 15\nAnswer: -7746e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4066.17 decades?\nAnswer: 487940.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1263\/7? (a) -3 (b) -2 (c) -1\/6 (d) -0.1 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2256, 2269, 2290, 2319, 2356, 2401, 2454?\nAnswer: 2515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g. Let f(o) = 400*o - 157*o - 211*o. What is u(f(z))?\nAnswer: -96*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -4031*x**3\/3 + 7519*x**2\/2 + 3922*x. Differentiate i(c) wrt c.\nAnswer: -8062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -19, -12, 11, 56, 129?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1722)\/(-328)*8\/7. Calculate the greatest common divisor of o and 1140.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 215*a**3 + 28*a**2 + 1 - 165*a**3 + 2 - 1 - 109*a**2 to l*a**3 + v + d*a + p*a**2 and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 439 or 1671?\nAnswer: 1671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(468)*1 - sqrt(468))*-3)\/sqrt(9) - (-1 + ((sqrt(78) - (-1*sqrt(78) - sqrt(78)))\/sqrt(6))**2 + -5)).\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tllt when four letters picked without replacement from {t: 6, l: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(1300) + 0 + (sqrt(1300) - (0 + sqrt(1300))))**2*-2 - 5*((sqrt(117) + -1)*-6 - (sqrt(117) + 1*sqrt(117) + sqrt(117) + 3))**2.\nAnswer: -50080 + 610*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3880 and 1070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142 - -18. Calculate the remainder when w is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + 6*(sqrt(700) + 1) + -5 + 1*(sqrt(700) + 0) + sqrt(700) + -2)**2.\nAnswer: 44800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 + 3?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20517922.\nAnswer: 2, 10258961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*i = -42, -2*n + 153*i = 158*i - 70. Let h(t) be the third derivative of t**4\/24 - t**3\/6 - t**2. Let y be h(-3). Is n at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 9:10 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 + 160405?\nAnswer: 160360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 282081 rounded to the nearest one thousand?\nAnswer: 282000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -5. Suppose 0 = 4*v - 2*m - 188, -v + m - 242 = -w*v. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 + 112 - (-3 - 8 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Let g(u) = u - 1. Let q(i) = 60*i - 55. Let d(x) = -220*g(x) + 4*q(x). Calculate p(d(b)).\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -39. Let h = 5106 + -5088. Calculate the highest common factor of h and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 110100?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 14. Let q = 0.5 + -0.1. What is the third biggest value in z, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2) + sqrt(8)\/sqrt(4) - sqrt(2)) - (sqrt(1700) + 0).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 24*s**3 - 132*s**2 - 144*s.\nAnswer: 3*s*(s - 12)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -2 + 6)*603 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 264, 271, 282, 297, 316, 339, 366?\n\"Answer: 2*y**2 + y + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/15, 4, 11\/2, -76, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u + 43*u - 7*u - 13*u - 19*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 - 41*w + 39*w + 21*w**2 + w**3 + 20*w**2 as t*w + v + o*w**3 + c*w**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 1. Let g be (5\/(-3))\/(2\/6). Let c be y(g). Let t be (-10)\/(-5) + -1 + 1. Solve -t*m - c = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, a: 1, k: 7, g: 3, z: 1}. What is prob of picking 1 z and 1 k?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j + 60. Let t be n(-12). Suppose -2*i = h - 759, t = 9*i - 11*i + 4*h + 774. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1976.1 (b) -81 (c) 0.5 (d) 1 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.9 * 2.\nAnswer: -31.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50608*i**3 + 194796*i**2?\nAnswer: 303648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*h + 270 = 0, -2*o + h - 6*h + 130 = 0. Suppose 2*x + 4*u + 302 = 7*x, 0 = -x - 4*u + o. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(364\/(-16))\/7. Suppose 5*y = 58 - u. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -42*w + w**2 + 42*w. Let z(h) = h**2. What is z(y(p))?\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0524634994 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -65911965, -131823930, -197735897, -263647866, -329559837, -395471810?\n\"Answer: -n**2 - 65911962*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/5 - 8\/40. Suppose 2*a + i*a = 2*q, -4 = 2*q. What is the smallest value in -9, 0.2, a?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 322 (base 4) to base 5\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*t = 52*t + 25*t - 651 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*f + 36 = 2*a + 150*f, a + 4*f = 5*a + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1233122 - -22024?\nAnswer: 1310201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*i**3*l*u - 2*i**3*l - 6*i**3*u - i**3 - 23*i**2*l*u - 2*i**2*u - 10*i*l + 2*i wrt i.\nAnswer: 84*l*u - 12*l - 36*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2888 or 2890?\nAnswer: 2890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 - 4*v - 1. Let k(m) = -m**2 - 5*m + 1. Let l be k(-5). Let h = 4 - l. What is the units digit of t(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 87*b - 3375 = -128*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36527470?\nAnswer: 2, 5, 7, 83, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -6\/17, -3, 0.01?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(5)*2*-4 - (sqrt(5) + 2 + sqrt(125))) + 6*(sqrt(35)\/(sqrt(14)\/sqrt(2)) + 3))**2.\nAnswer: -512*sqrt(5) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 2*w**7\/735 - 2*w**5\/35 - 4*w**4\/21 - 2*w**3\/7 - 99*w**2. Suppose y(v) = 0. Calculate v.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2. Let t(i) = -4181081*i. Determine k(t(j)).\nAnswer: 17481438328561*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0878 * -0.00584.\nAnswer: 0.000512752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 6*t**2 + 4*t + 12. Let w be b(5). Suppose -5*h - 694 = -w*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 13*s + 13. Let y = 641 + -656. Determine c(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-436)\/18 - 6*14\/(-378)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -10*d**3\/3 - 4. Let y(q) = 2*q. What is y(o(x))?\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294.96327 months to decades.\nAnswer: 2.45802725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -58.688982988 and 0.11?\nAnswer: 58.798982988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5026*s**2 + 4978*s**2 + 4978*s**2 - 14997*s**2.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1091 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 - 22 = 9*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4.2. Suppose 2*y + 1 = -h, -30*h = -4*y - 29*h + 1. What is the biggest value in 3, f, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010434 (base 5) to base 11\nAnswer: 11331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2712, -1\/3, 5, -1\/59, -2 in descending order.\nAnswer: 5, -1\/59, -1\/3, -2, -2712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 11*j - 11. Let g = -232 + 158. Let m = 83 + g. Determine u(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnx when three letters picked without replacement from xxxnxxxnnxnxxn?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(245) + 4)**2.\nAnswer: 28*sqrt(5) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/60 + 10 + (-976)\/96. What is the smallest value in 0.2, -8, x, 30, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k**4 + 4618453*k - 4618429*k + 4*k**2 + 2 + k**4 in the form h*k + c*k**2 + x + d*k**4 + f*k**3 and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -60*m - 150. Let i be j(-12). Let q be ((-21)\/(-63))\/(2\/i) - 4. What is the greatest common divisor of 65 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, n: 3}. What is prob of picking 1 n and 2 k?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**4 + 0*v**4 - v**4 + (v**2 + 17*v - 17*v)*(-v**2 + 3*v**2 - v**2) as m*v**4 + z*v + c + w*v**3 + b*v**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*p - 4. Suppose -u + 2*u + 5 = 0. Which is the second smallest value? (a) u (b) 1\/2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 4*x**2 + 4*x - 1. Let w be b(-5). Let k = -42 - w. Suppose k*d + 5*v + 2 = 0, 2*d + 0*d + 3*v + 2 = 0. Solve 0 = -o + d*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 9*q - 4. Let v(m) = 7*m - 3. Let j(u) = -3*r(u) + 4*v(u). Determine j(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.1 and -23.17.\nAnswer: -24.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108 by 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 + 2*q + 2. Let v = 71 + -69. Let o be b(v). Solve -7*p + 4*i = -2*p + o, -5*i = 3*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533986 is divided by 48.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-5))**(-9)*((w\/w**(-13))\/w)\/(w\/w**(2\/55)*w*w))**(-45))**47 assuming w is positive.\nAnswer: w**(-1280421\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-32) - 26\/(-68).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6364145 is divided by 47?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -2 - (33 - 38) - (-6 + 12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-7)\/h)\/h)\/h**(-7))**(-22)\/((h**1)**(-1\/32)*h*h**7*(h\/h**(-1\/6)*h)\/h*h*h) assuming h is positive.\nAnswer: h**(3155\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33232 by 31.\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 3:06 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2562465 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1383444 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 214233322 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61863916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 16, 2*s + 12 + 2 = -3*m. Let q = 152\/177 + -3\/118. Let a = -12.1 + 12. What is the closest to s in q, a, 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 25) + (-4 - 0) - -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1883 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2264*j + 39400 - 48652 = 56404 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 + 5*i**2 + 6*i**2)*(38*i + 19*i**2 - 38*i + (2*i + 4 - 4)*(0*i + 0*i + 2*i) + (6 - 11*i - 6)*(i - i + i)).\nAnswer: 72*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 6*f**2 - 3*f. Let z = -6 - -8. Let q(o) = -6*o**z + 0*o + 5*o**2 + 0*o + o. Let m(y) = -2*k(y) - 6*q(y). Factor m(l).\nAnswer: 2*l**2*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/17)\/l**1)\/(l**(-1\/3)\/l)**(-28) assuming l is positive.\nAnswer: l**(-1958\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60185188 - 60185344.999612. Let k = -157 - p. Round k to five dps.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710845 is divided by 177703?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let s(z) = -45*z + 15. Calculate 25*n(h) - s(h).\nAnswer: 20*h - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 4, 40, -1?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzqozqdooqoqoo. What is prob of picking 1 d and 1 q?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 733696189 to the power of 1\/3, to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {f: 7, p: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -575343 or -575333?\nAnswer: -575343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 73*d**5\/10 + 157*d**4\/24 + 2*d**2 + 35*d. Find the second derivative of k(u) wrt u.\nAnswer: 876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 599? (a) 23 (b) -3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 11*x**3 - 6*x**2 - 9. Let q(h) = -24*h**3 + 12*h**2 + 17. Let g(p) = -6*q(p) - 13*y(p). Let l be g(-6). Solve l = -0*z - 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 618\/515*(-5)\/(-18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d. Let r(u) = 8*u**2 - 3. Let m(h) = 385*h**2 - 143. Let v(o) = 6*m(o) - 286*r(o). Give w(v(l)).\nAnswer: 44*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 minus 182?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*y - 325*y = -c - 22, 4*y - 8 = 4*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 13. Suppose -u - n*q - 1 = 6, -4*u + 3*q + 67 = 0. Suppose -h = 3 - u. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -478*q**6 - 311*q**2.\nAnswer: -57360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 0 - (638 + 5). Round x to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 749001 divided by -249667.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.48 - -5.83. Does 2\/5 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -392, -0.3, 109 in ascending order.\nAnswer: -392, -0.3, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 32 = -5*r, -d + 4*r = -6*d - 31. Let b(n) = 11*n**2 - 13*n + 7. Let x(h) = 5*h**2 - 6*h + 3. What is d*b(c) + 7*x(c)?\nAnswer: 2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1081572 >= -1081572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -5*q**7\/42 + q**4\/4 - 32*q. Find the third derivative of m(l) wrt l.\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6155 = -5*r, 5*v - 6296 = -r - 133. What is the common denominator of -37\/54 and (3\/(-243))\/((-6)\/v)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24815 and 218372.\nAnswer: 1091860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -6*m + 7. Let w be (-15)\/(-6) + (m - (6 + -2)). Suppose -6 + 16 = 5*f. What is the third smallest value in f, w, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 16*n - 5. What are the prime factors of q(3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + 1 + 2)*(-2*p + 0*p - 6*p) + 2*p**2 - 4*p**2 + 0*p**2.\nAnswer: 14*p**2 - 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 10) to base 9.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.74457772 and 5180.\nAnswer: 5176.25542228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((2\/8)\/(-1))\/((-250)\/4800). What is u in 128\/5 + c*u**2 - 96\/5*u - 2\/5*u**3 = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 20*u**2 - 6*u - 116. Let l be a(-20). Let x(c) = -c**3 + c**2 + 5*c + 1. Determine x(l).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 4*o**5\/5 + 456*o**4 + 71112*o**3 + 615600*o**2 + 1822500*o + 4058. Suppose w(c) = 0. What is c?\nAnswer: -225, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489637694.\nAnswer: 2, 7, 13, 384331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10225*p*z**2 - 10377*p wrt z.\nAnswer: -20450*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/s**(-15))*s*s\/s**9)\/((s*s*s\/(s**(1\/2)\/s)*s)\/(s*s**(-6))) assuming s is positive.\nAnswer: s**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -19*c**2 + 167*c + 12. What is h(9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g*o**3*q + 6*g*o**3 + 31*g*o**2*q - 2*g*q - 17*o**3*q + 20*o**3 + 64*o**2 - o*q wrt o?\nAnswer: -6*g*q + 36*g - 102*q + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f + 2 + 255*f**3 - 13*f + 4*f - 57.\nAnswer: 255*f**3 - 3*f - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 - 3*y**4 + 13*y**4)*(2*y - 5*y - 2*y).\nAnswer: -55*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3869610?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)*g)\/g)**(-49)\/(g**5\/((g*g*g*((g*g\/g**(-8)*g)\/g)\/g)\/g)) assuming g is positive.\nAnswer: g**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 + 2*h**2 + 1 + 0*h**2. Let n(i) = -22*i**2 + 7*i + 13. Let g(x) = 15*x**2 - 5*x - 9. Let c(l) = 7*g(l) + 5*n(l). Determine -2*b(y) + c(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -17.1. Let v = j + 0. Which is the second biggest value? (a) 5 (b) -0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 50 = -g. Let u = 9 - g. Which is greater: u or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 13*j = -14*j - 19, -2*l = j + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3606 + -3607. Let t = -0.05 + 0.35. Let x = t + -0.4. Put f, x, -3\/2, 0.4 in ascending order.\nAnswer: -3\/2, f, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179.5048 + -0.4.\nAnswer: 179.1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-95)\/3*(2 - 4)*1887\/1258\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 636, 2142, 5072, 9900, 17100?\nAnswer: 27146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 291493 less than 291493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 50\/9*t + 130\/9*t**2 - 58\/9*t**3 + 2\/3*t**4 = 0. What is t?\nAnswer: -1\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**5\/40 - c**4 + 20*c**3 - 2*c**2 - 636*c. Factor i(x).\nAnswer: -3*(x - 4)*(x + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5*d*d*(d*d*d**10)\/d)\/(d**(4\/9)\/(d\/d**(-4))))**11 assuming d is positive.\nAnswer: d**(2233\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 60.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(450) - -2*sqrt(450)))\/(sqrt(110)\/(sqrt(33)\/sqrt(3))) + -5 + 1.\nAnswer: -18*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 640323.156 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 10*u + 10. Let s(p) = 3*p - 1. Let n be s(-1). Let g be q(n). Let a(m) = -10*m - 244. Let o be a(-25). Solve 4*x + g = -o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 138907 and -0.05?\nAnswer: -6945.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -0.3. Let y = 13\/5 - 9\/5. Let g = 166.03 + -166. What is the nearest to l in g, -0.3, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15514 and 1632654575.\nAnswer: 7757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 2. Suppose 4*s = -2*s + 174. Let o = s + -24. What is v(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -51*k + 27. Let s(d) = -77*d + 41. Let f(a) = -8*h(a) + 5*s(a). What is the remainder when f(2) is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017431 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + i + 4. Let z be c(0). Let b be z*(3 + (-20)\/8). Solve 2*s = -3*s + 4*a - 27, -b*s + a = 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l*w - 5623*l - 116020*w wrt l?\nAnswer: w - 5623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 42. Suppose 5*r + s = 2*q, -q + 5*r + 19 + 2 = 0. What is the remainder when 21 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - j**2 - j + 1. Let m(g) = -7*g**3 - g**2 + 6*g - 18. Let k(d) = m(d) - 6*p(d). Let f be k(6). Calculate the highest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29*3909\nAnswer: 113361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - 1c?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*k = -4*l + 53, 5*k = l + 18. Let z = 5 - l. List the prime factors of 6*(2 + 3\/z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6 - (-17 - -24)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -37686 * 13\nAnswer: -489918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 24*o + 27*o - 18*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13926297 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -358841 divided by -2?\nAnswer: 358841\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10*h**2. Let a(l) be the third derivative of -l**5\/60 + 124*l**2 - 2*l. Give -5*a(c) - r(c).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -122033132030 (base 4) in base 12?\nAnswer: -2378b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 79 - 249. Let h be ((-128)\/5)\/(q\/5 - 7). Calculate the greatest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -85 (c) -0.3 (d) 32.4 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 348*o + 1007. Determine p(-3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 21\/11, 5, -5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n + 6852. Let g = 144 + n. Let a = -3590 - g. Round a to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/32*3)\/((-18)\/3456*8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3199, 2812, 2159, 1240, 55, -1396?\nAnswer: -3113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 335 - -1030. Suppose 1080 + b = -15*m. Is m at most as big as -162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 4*f**2 - 4*f - 1. Let o be b(5). Let u be 8*-12*(-5)\/240. Solve k + o = u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4582?\nAnswer: 2, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37837\/15 - -5037\/2. Let v(b) = 4*b - 2. Let s be v(-2). Find the common denominator of i and s\/(-88)*(8 + -38).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(80)*-1*6*5*1)**2.\nAnswer: -480*sqrt(5) + 72004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 17*t**2 - 5*t - 5. Let m(v) = v**2 + v. Let n(u) = 5*u**2 + 9*u + 1. Let o(x) = 24*m(x) - 3*n(x). Calculate 3*h(b) - 5*o(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -0 + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*n - 3. Suppose 5*k = -2 + 17. Let p(a) = -2*a + 2*a - 3 + k*a. What is p(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*a**3 - 3*a - 1 - 128*a**3 + a**3 + 5*a**4 - 3*a**2 in the form i*a + w*a**4 + y*a**2 + q*a**3 + d and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*j**3 - 51*j**3 + 255*j**3.\nAnswer: 255*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u**4\/7 - 1566*u**3\/7 + 16872*u**2\/7 - 3016*u\/7 = 0. Calculate u.\nAnswer: 0, 2\/11, 13, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 4116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d**2 - 9*d - 174. What is t(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*c - 369*c - 2 + 83*c - 670*c to r*c + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b - 122 = -518. Let r be 3\/((-12)\/(-580)) - 0. Let l = r - b. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4984666?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -484\nAnswer: 1936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6216195 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 107*s**2 - 3*s - 3. Let o(t) = -3960*t**2 + 110*t + 110. Determine 6*o(g) + 220*z(g).\nAnswer: -220*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 5. Let n(c) = -8*c**2 - 14. Let j(h) = -3*h - 2. Let v be j(2). Let q = 12 + v. What is q*n(m) + 11*z(m)?\nAnswer: m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -697\/4 - -4787\/28. Find the common denominator of y and 21\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60890.41117 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 187.841 + -189. What is r rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**7\/105 + q**5\/12 - 25*q**4\/12 + q**3\/6 + 213*q**2 + 2*q. What is the second derivative of p(r) wrt r?\nAnswer: 24*r**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*v - 18 = -0*v, -5*v - 18 = -4*w. Suppose 0 = 4*d - 20, -6*a = -w*a + d - 33. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9))**(-7\/9) assuming b is positive.\nAnswer: b**(14\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35.1 + 35.05. Put 7, 3, o in decreasing order.\nAnswer: 7, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 - 20. Let b(p) = -17*p**2 - p + 81. Calculate -6*b(n) - 26*g(n).\nAnswer: -2*n**2 + 6*n + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 720*b - 2313 - 9207 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 1\/2*a**2 + 0 - 1\/24*a**4 - 2*a + 1\/3*a**3. Let p(n) be the first derivative of f(n). Differentiate p(l) wrt l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2322 - 2301. Solve -34*x + i*x - 39 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-40) + (-22)\/5. Let c(z) = z**3 + 3*z**2 - 5*z - 5. Let o be c(i). Let k be o + (-2 - -5) - -3. Put 1\/4, -2, k in descending order.\nAnswer: k, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 33951 = -4*o, -24*x = 5*o - 21*x - 42459. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q**3 - 2*q**2 - q. Suppose 0 = 2*f - 6*f. Suppose 0 = -5*b - f + 115. Let g = 22 - b. Give u(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 0. Let g = 7 - 12. Let u = g + 8. Which is the biggest value? (a) 2\/7 (b) u (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 at most 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*s**3 + 2*s**2 - 436*s wrt s.\nAnswer: -288*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 q when three letters picked without replacement from oqqqqqoqq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 10.85. Let m = 0.15 + v. Is m greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -161, -542, -1265, -2444, -4193, -6626, -9857?\nAnswer: -14000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1001067068 and 6376?\nAnswer: 3188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7162\/17*c**4 - 6800283722\/17*c - 2\/17*c**5 - 8553812\/17*c**3 + 3395872114\/17 + 3412958260\/17*c**2.\nAnswer: -2*(c - 1193)**3*(c - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 2*o + 3*o**3 - 237*o**4 - 238*o**4 + 473*o**4 as p*o**4 + y*o + d + r*o**3 + h*o**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -27*l**3 + 21*l**2 - 9. Let f(z) = -21*z**2 - 25 + 13 - 8*z**3 + 20 + 35*z**3. Let s(m) = 7*f(m) + 6*g(m). Find the third derivative of s(r) wrt r.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 231\/4 - 58. Let b = -216162\/7 - -30880. What is the closest to b in 0.02, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*q - 88*q = -g + 11, -3*g + q = -0*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.6, -0.14, -225\/7?\nAnswer: -225\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 736 + 1. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y = -106 + 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745696.\nAnswer: 2, 17, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 6 + 4, -2*f = 5*x - 96. Suppose 0 = -10*h + 160 + x. What is the smallest common multiple of 12 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -3\/161, 2 in decreasing order.\nAnswer: 2, -3\/161, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -29245.88 + 7053716?\nAnswer: 7024470.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2143580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 246dd (base 15) in base 10?\nAnswer: 116308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1500)*-4)\/(sqrt(500) + (1*sqrt(500) - sqrt(500))*-5).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 603289 and 2826207.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) -2\/3 (c) -0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32\/5*k**5 - 144\/5*k**4 + 6*k + 196\/5*k**2 - 72\/5 - 18\/5*k**3 = 0 for k.\nAnswer: -4, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, -9, 1 in ascending order.\nAnswer: -9, -2, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -31*r**2\/2 - 160*r - 1638. What is a(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 14. Let p be ((-1)\/(-2))\/(r\/16). Let w(z) = 11*z**2 + 2*z - 7. Is w(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44909 - -41?\nAnswer: 4494a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-2)\/x*x*x)**(-2\/19))**(-32))**(-1\/10))**(-36\/5) assuming x is positive.\nAnswer: x**(-1152\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdzd when four letters picked without replacement from mzszddmndnydd?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(17))*-3)**2 - sqrt(1377)*-2.\nAnswer: 189 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t + 9 = 0. Let i = -61 + 118. Let s = i + -55. Solve 3*o - 8 = 4*a + 2, s*a - t*o = -8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -13, 187 in decreasing order.\nAnswer: 187, 66, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86.5 + 86. Let w = 0.93 - -0.07. What is the nearest to 8 in w, 1\/8, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 9*o = 68, -3*h + 4718*o - 4723*o + 28 = 0 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 23 = 3*n, -2*n - 3*r + 0 = 17. Let t(d) = 2*d + 3. Let s(v) = -3*v - 4. Let x(c) = -3*s(c) - 4*t(c). Let z(f) = -7*f. Determine n*z(o) - 6*x(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/70)*s*s*s\/(s\/(s\/s**40)*s*s)*s)\/(s**(3\/31)*(((s*s\/(s*s*s*s**16))\/s)\/s)\/s*s) assuming s is positive.\nAnswer: s**(-39301\/2170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1211 is divided by 239.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 4:51 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35163 by 3.\nAnswer: -11721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Let n = 27.5 - 27. Which is the smallest value? (a) n (b) -3\/8 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1140267 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34417\/16380 + 256\/315. Calculate the common denominator of p and (-3)\/9*426\/(-52).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1679*g**3 - 2*g**2 - 9035*g wrt g?\nAnswer: 10074*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by -42.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -109, -94, -57, 2, 83?\n\"Answer: 11*o**2 - 18*o - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-6) - 2\/(-3). Suppose 0 = 5*h - 0*h - 20. Is k > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, -4, -0.9, 8\/139, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 0 + 0)*(-6*x - 5 + 5)*(-9 - 14 - 23) as c + l*x**2 + y*x and give l.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouuuo. Give prob of picking 3 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20397, 163468, 551903, 1308384, 2555593?\n\"Answer: 20447*i**3 - 58*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18115426211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 = 2*w, -4*o + 38 = -4*w + 46. Suppose 0 = 3*f + 4*z - 7725, o = 4*f + z - 4*z - 10325. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + (-3*sqrt(55))\/sqrt(11) + sqrt(5) - ((sqrt(45)*-3 + sqrt(45))\/sqrt(9) - 1*sqrt(5)*6))**2.\nAnswer: -12*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(140)*-3)\/((sqrt(77) + 1*sqrt(77))\/sqrt(11)) + sqrt(5)*-5*-1 + (sqrt(225)\/sqrt(5))\/sqrt(9)).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**5 - 4*s**5 - 2*s**3 - s + 3*s**5 + (-s**2 - 2*s + 2*s)*(-s**3 + 0*s**3 - 3*s**3).\nAnswer: 6*s**5 - 2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 24*z**2 + 30*z**2 + 60*z**2 + 4.\nAnswer: 114*z**2 + 5*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212285346, 212285327, 212285284, 212285205, 212285078, 212284891, 212284632, 212284289?\nAnswer: 212283850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29139 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + a + 2*a**4 - 2 + (-116*a - 141*a + 207*a)*(-2 - 4*a**3 + 2) to the form m + u*a**3 + f*a**2 + b*a**4 + s*a and give b.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5244801106 to the nearest integer?\nAnswer: 72421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*k + w, -4*k + w + 9 = -2*w. Suppose 4*j + 64 = 241*n - 245*n, -2*n - 4*j = 58. Which is the closest to 2\/7? (a) 1 (b) n (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -443*d + 1426. Let x be y(3). Solve 145 = -12*k + x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5996690257.\nAnswer: 2111, 2840687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/11)*a*a**(-2\/33)\/a)**45 assuming a is positive.\nAnswer: a**(420\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m**3 - 7*m**2 - 11*m + 2. Is f(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11*d - d - 13*d**2 + 15 + 10*d**2 + 4*d**2. Let w be n(11). Find the second derivative of 3*f**3 + 5*f - 7*f + w*f wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (24 - 23 - (1 + -1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2088292.\nAnswer: 2, 522073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46\/111 - -3\/37. Let p be ((-14)\/8)\/(5\/(-20)). What is the nearest to p in 1, t, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4284*1653\nAnswer: -7081452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 41092520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 5*y**2 + 12*y - 10. Let b be o(6). Let f = b + -98. Let t(n) = -11*n + 91. Let w be t(8). Solve -2*g + w*g = f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - 110110001010101111?\nAnswer: -110110001010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + 95 - 7*q**4 - 95 - 72*q**4 - 60*q**4 + 103*q**4 + (-q**3 + 3*q**3 - 3*q**3)*(-3*q + q + 0*q).\nAnswer: -34*q**4 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*w - 467*w + 8 = -2*j, 18*w = -5*j - 5*w - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1036 (base 7) to base 16.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 44 - 125*k**3 - 19.\nAnswer: -125*k**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5*n**(2\/11))\/(n*n**(1\/3)*n)**(-45) assuming n is positive.\nAnswer: n**(1212\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/6 + (-6)\/(-1). Suppose -b + n*o - 4 = 0, 5*o - 12 = 3. Suppose b*k - 126 = 3*q, -4*k + k + 87 = 2*q. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**5\/30 + 7*w**2. Let j(s) = 10*s**2. Calculate 3*j(k) + 16*r(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 - 154*d**2 + 269*d - 123. Let q(v) = -76*v**2 + 134*v - 62. Let h(g) = -2*i(g) + 5*q(g). Factor h(k).\nAnswer: 4*(k - 16)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 5*i - 2. Let j be c(4). Suppose 2*h - 10 = 14. Calculate the greatest common divisor of j and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9159*u**2 + 12022*u**2 - 29529*u**2 to f*u + t + j*u**2 and give j.\nAnswer: -8348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -35. Suppose 0 = -n*a + 5 - 17. Let z(b) = b**3 + 6*b**2 + 6*b + 2. Calculate the remainder when z(a) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -353785\/43029 + -1\/4781. What is the common denominator of 98\/285 and d?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.54. Let f = p - -2.04. Let a = 70 + -75. What is the second smallest value in a, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 405.1 + -367. Let d = 16 - b. Let v = d + 22.100123. What is v rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 115527 - -201?\nAnswer: 115730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*p = 135*p - 518 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21260288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (76*y - 42*y + 156*y)*(-3*y + 3*y - 4*y**2) + (-13 + 13 - 5*y)*(-2*y**2 - y**2 + 5*y**2) to the form r*y**3 + l*y + g + j*y**2 and give r.\nAnswer: -770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12157 = -1049*k - 29803 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**6\/240 - j**5\/120 - j**4\/48 + j**3\/12 - 4*j**2. Solve q(m) = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2469)\/(-6))\/(6\/156) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 601*v - 615*v + 1890 = 0. Calculate the remainder when v is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10db0 - -241?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -34124341 (base 5) in base 16?\nAnswer: -49b16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -856 divided by -214.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**5\/30 - 2*j**2. Let k(p) be the third derivative of 0*p - 1\/60*p**5 - p**2 + 0 + 0*p**3 + 0*p**4. Calculate k(o(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*g + 137*g + 8*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212201002 - -2?\nAnswer: -212201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cakmccs. Give prob of sequence km.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -36614791 = 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(4\/3*14\/56).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -140.784 - -144. Round y to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/14308 or -1?\nAnswer: -9\/14308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by -17.\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431717 (base 9) in base 13?\nAnswer: 217c60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.013738269.\nAnswer: -0.0027476538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8386 - 8366. What is the remainder when 73*(-1 + 2)*1 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61\/78 + 3\/26. Let n = -341\/75 + 11\/75. Let r = -56\/15 - n. Put r, k, 0.2 in ascending order.\nAnswer: k, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1851765 - 1850928 = -31*c for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbq when three letters picked without replacement from {q: 2, v: 1, h: 1, b: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -444 + 2633\/6. Calculate the common denominator of v and (28\/(-6))\/((-40)\/(-130)*-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 100, 216, 366, 544, 744?\n\"Answer: -n**3 + 26*n**2 + 5*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 7. Suppose j*s - 420 = 325. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nkauaan?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 72 = 84. Let t be (32\/i)\/2*(591 - 15). Which is greater: 769 or t?\nAnswer: 769","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 3*v - 2*v)*(399*v - 217 + 217) to n*v**2 + m + p*v and give n.\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130 - -4302?\nAnswer: 4132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19552 and 8032864?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 589612 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 638.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/8 - (-1)\/8. Which is greater: 2\/55 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 408019 and 44394509?\nAnswer: 43986490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2593847*x**2 + x - x - 2593851*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 1:16 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*j + 259*j - 265*j + j**2 + 303*j.\nAnswer: j**2 + 40*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 11:04 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(3\/32)*(m*m**0\/m)\/(m*m**(2\/3)\/m)*((m\/m**(-6\/11))\/m*(m*m\/m**(-1\/3))\/m)**(-1\/14) assuming m is positive.\nAnswer: m**(-5227\/7392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -229 divided by -25657\nAnswer: 229\/25657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**5 + 504*c**4 + 2060*c**3 + 2592*c**2 + 1040*c = 0.\nAnswer: -2, -1, 0, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c = -8, 4*i - 2*c = 108. Let x be (3*(-20)\/(-48))\/(2\/88). Suppose x = 14*f - 43. What is the remainder when i is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from bybohocx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 7 (b) 2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4474*p**2 - 27346*p - 27350*p + 54696*p to the form o*p**2 + t*p + k and give o.\nAnswer: 4474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*d + 29. Suppose 6*h - 110 = h. Let o = h - d. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t - 1039 = -283. Let h = -241\/9 - t. Factor 0 + h*i + 4\/9*i**2 + 2\/9*i**3.\nAnswer: 2*i*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (7 + -2 + -3 - -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -16*c - 11. Let q(z) = -4*z - 3. Let x(f) = -22*q(f) + 6*t(f). Let d(a) = -2*a. Calculate x(d(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 9. Let n(t) = -60*t**2 - 12*t - 110. Give -12*c(z) - n(z).\nAnswer: 60*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 4*m**2 - 3*m + 4. Let y be k(3). Let q be 6\/9*(-18)\/y. Which is the second biggest value? (a) -0.3 (b) -1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 14345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -93, -111, -137, -171, -213, -263?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40071?\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/15 of a day?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*x + 441 = 14*x + 103 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12954130 to the nearest integer?\nAnswer: 3599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 62*b + 62. Let w be d(-32). What is the nearest to -1\/4 in -3, 1\/5, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6*(2 + 0 - -19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449000 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, q: 2, l: 1, n: 1}. Give prob of sequence eqnl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (25 + -37 - -13) + 5 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -4 + 3 + 28 + 4. Suppose 2*w - 5*w - 57 = -5*f, 45 = 4*f - 3*w. What is the highest common divisor of c and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 31 = 4*y - 6*u, -4*y - 34 = -2*u. Let a(i) = -i**3 - 10*i**2 - 10*i - 5. Let x be a(y). Solve -x*p + 13 = -4*l + 1, 2 = -l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -442.56 + 442.36. Put -1\/4, 18994, v in descending order.\nAnswer: 18994, v, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 768411?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/5 + 49541048*z\/5 + 49541047\/5 = 0. Calculate z.\nAnswer: -49541047, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + 18 + 4*v**2 + 200 - 4*v**2 to the form s + y*v + x*v**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 5*u + 2. Let y(a) = 7*a**2 + 15*a - 153. What is -6*k(d) + y(d)?\nAnswer: d**2 - 15*d - 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3935 - 3010 - 1765 + (-1 + 0 - 3)*(-2 + 4 + 0))*(-2*j**2 + 5*j**2 - j**2).\nAnswer: -1696*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-18))\/(1\/(-12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11793239?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-9 - (-9 + 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/4*((-6)\/(-7))\/3. Which is the third biggest value? (a) r (b) -0.2 (c) 2\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-2))\/(-6))\/((-165)\/132).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4*13\/(65\/180)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s + 12 = 0. Suppose 56 = s*g + k, 2*g + k = -3*k + 28. Suppose -26 - g = -2*z. Solve 3*x = -x + z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2037\/31721 or -1?\nAnswer: 2037\/31721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*r**3 - 1490*c**2*r + 2*c**2 - 2*c*r**3 + 6*c*r + c + 299396*r**3 + 421*r wrt r.\nAnswer: 12*c**2*r - 12*c*r + 1796376*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -358*y + 5733. Let n be a(16). Solve 0 = -18*q + 16*q - 3*r + 9, n*r - 13 = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12290\/3, -0.51, 6\/5, 1\/3, -4?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17 + 42)*(2\/10 - -1). Is c greater than 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 8:19 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5549\/5175 - -8\/1035. Find the common denominator of x and -64\/3.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001215873 to 6 dps.\nAnswer: -0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from {c: 2, t: 2, d: 1, y: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93196892?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(48)\/(sqrt(32)\/sqrt(4))))**2 + ((sqrt(8) - 2*sqrt(8))**2*-1 - sqrt(8)) + -1 + 0.\nAnswer: -7 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2. Let t(p) = p + 1. Give 5*i(y) - 6*t(y).\nAnswer: -6*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 3*a + 4. Let h be q(2). Solve -h*f = -2 + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/75)\/(12\/18). Let w = 3.97 + -4.87. What is the nearest to 3\/2 in o, 4, -2, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1383 - 4157 - 10*g**2 + 1387 + 1386.\nAnswer: -10*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1328 divide 1832800688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 + 771\/11. Let n = 1 + 4. Let d = -5.1 + n. What is the smallest value in d, x, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75224.9um to nanometers.\nAnswer: 75224900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 5. Let y be 0\/2*(-21)\/42. Let n be g(y). Solve 4*k + 12 = -3*m, n = -2*k + 5*m - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4830 is divided by 1606.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/893 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 22*h - 9150 = 132*h + 72*h for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 16*f + 86*f. Solve -2*q + 3*h - 19 = f, h + 3 = -2*q - 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*m - 194*m - 7 = -q, -3*m = -2*q + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (12*1)\/(-2). Let w(z) = z**2 - z + 3. Let q be w(0). Suppose l*n + q + 7 = 0, -5*t = -n - 12. What is the smallest value in 3\/2, t, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(4*m - 3*m - 7*m).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12539585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 11. Suppose -t*m + 1310 = 5*y, 3*m = 4*y + y - 1286. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12032*q**2 - 19684.\nAnswer: -24064*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 + 1 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -753824 greater than or equal to -753783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.89 times 0.3\nAnswer: -0.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -3.256873, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -10.4. Let u = 3.4 + w. Which is the nearest to -1? (a) 4 (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -8. Let i be (-6 - t)\/(-1 + 0). Is 33 + 2\/i*4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**2*i**2 - 13*b**2*i*w**2 - 26*b**2*w**2 + 6*b**2*w + 3*i**3*w + 1134*i**2*w**2 + 11*i*w - w**2 wrt i?\nAnswer: 10*b**2 + 18*i*w + 2268*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - sqrt(468)*1)*6)\/(sqrt(32)\/sqrt(2) + (-1*sqrt(24))\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -101533331.33 rounded to the nearest 1000000?\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -8 - (10 - (53 - 59)) - 11.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10 - -13 - (2 - -1). Suppose i = -x + 8. Let l(s) = -6*s + x + 3*s + 7*s**2 - 5*s - s**3. Give l(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbff when four letters picked without replacement from wwbddffwfmwwwmmwfff.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 47 + 339 + 444 = -103*z, 2*z - 19 = -11*k for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/52904 and 45\/272.\nAnswer: 105808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 3*w + 132. Suppose 3*j = -3*r + 702, -475 + w = -2*r - 3*j. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240637 is divided by 48125.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 6*a**2 + 38 + 3*a - 2*a - 4*a**2 to o*a**2 + j*a + u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h = 36. Let r = -65 + 73. Suppose -2*i + 0*i = -10. Solve -h = -d + i*b, 2*d - r = -b + 4*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-72)\/504)\/(2\/14). Let x = -294 + 1763\/6. What is the closest to x in k, -16, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 45.48459t?\nAnswer: 45484590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 0.222402.\nAnswer: -4.222402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211*h**3*m**2 + 179*h**3*o + 33*h**2*m**2*o + 3*h*m - 4*m*o wrt m?\nAnswer: -422*h**3 + 66*h**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 214911882 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 422\/(-30) + (25 - (-10098)\/(-405)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471023974 is divided by 3273.\nAnswer: 3271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40426 and 1088017.\nAnswer: 63104986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 544, 542, 538, 532, 524, 514, 502?\n\"Answer: -h**2 + h + 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 12:18 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9220884 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/2066 greater than -24598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 19 = -2*x - 3*x, x = -4*i + 19. Let k = 26 - 26. Solve -x*v + k*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 1\/2, 0, -1\/7, -6, -0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*i - 31 + 10, 4*i + 63 = 5*y. Suppose -4*v = -y - 17. Calculate the remainder when 30 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 283*p + 6. Let w(i) = i + 2. Let j(x) = -m(x) + 2*w(x). What are the prime factors of j(-1)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + ((1 + sqrt(2448))*3)**2.\nAnswer: 228*sqrt(17) + 22041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4776.6 at most -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**4 - 24*z**3 + 58*z**2 - 48*z + 7. Let d(a) = 6*a**4 - 24*a**3 + 57*a**2 - 48*a + 9. Let h(n) = -4*d(n) + 3*m(n). Suppose h(c) = 0. What is c?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8299 + -12?\nAnswer: -8300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 37206*j. Let c(l) = -246*l**2 + l. Give c(i(v)).\nAnswer: -340534463256*v**2 + 37206*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/1512 - 6001\/(-459)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3*77090\nAnswer: -231270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(2187) + 1*sqrt(675) + sqrt(675))\/(sqrt(27)\/(sqrt(12)\/(sqrt(8)\/sqrt(2)))).\nAnswer: 3 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249714 > 2249692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5010?\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 0.01 (c) -117 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 4*f + 12 = 9*f - 12*f, 0 = -10*j + 3*f + 40 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + (-425)\/(-325)*39.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -4*v - 154. Calculate the lowest common multiple of 73 and v.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 + -550. Let o = j - -438.2. Which is the smallest value? (a) o (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 1527*a - 1541*a + s, -3*a - s = -16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -34*r + 1. Let v(q) = q. Give v(l(j)).\nAnswer: -34*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -3\/8 (c) 0.2 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 180042515.1 microseconds in weeks?\nAnswer: 0.00029768934375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344917 divided by -293.\nAnswer: -344917\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 428 + 445. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1718*n + 1724*n + 1930*n**2 - 3442*n as i*n**2 + x*n + q and give i.\nAnswer: 1930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -3, 2, -1, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2377, 2412, 2449, 2488?\nAnswer: 2529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 899919089.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiizpyu. Give prob of sequence ypiu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16377? (a) 0 (b) 0.7 (c) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 21112020?\nAnswer: 21112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 5:29 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122852 is divided by 20300.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2 (b) 3 (c) 4.4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 885 = 5*m, -3*m + 4*k - 142 + 668 = 0. What is the hundreds digit of 3 + (m - 1) + (-15 - -16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -0.031543660197.\nAnswer: 0.368456339803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.2 - 9. Let a = 1.8000076 + c. Round a to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -2)\/((-2)\/3). Suppose x = 3*r + 6 - 1, -4*r = -3*x. Let l be (j - 2)\/((-1)\/x). Solve 0*m + l*z = 3*m - 19, -4*m = z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7 = 2*k + 7, -2*k - 34 = -3*w. Suppose 5*f = -4*m - m + w, m - 5 = 2*f. Solve -2*t + m = 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 4231, 29 in increasing order.\nAnswer: -17, 29, 4231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -11. Let r = -803 + 807. Solve -s - z = -r*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 39043*z + 68 = -39040*z, -3*a + 0*z - 32 = z - 5*z for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 8 = 4*m + 4*s, -4*m - 2*s + 8 = 0. Solve 6 = b + m*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.24 (b) 0.03 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1042, 4181, 9394, 16675, 26018, 37417?\n\"Answer: -q**3 + 1043*q**2 + 17*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 173332.\nAnswer: 12133240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 - 68 + 6*s + 8)*(s - 2*s**2 - s).\nAnswer: -12*s**3 + 226*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-17 + 14 + -11).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-1\/10))\/u)\/(u**(-16)*u*u))\/(u*u*u**(2\/3)\/u)**1 assuming u is positive.\nAnswer: u**(367\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38518?\nAnswer: 2, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.838 rounded to one decimal place?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1000 and 822 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -119 - -259. Calculate the greatest common divisor of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + n + 2. Let x be i(0). What is the third derivative of -16*v**2 + 18*v**2 + 5*v**x + 8*v**3 wrt v?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42338 - -42340. Let f be 1 + 1\/6*-7. Which is the nearest to j? (a) 0.23 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 5*i**2 - 3*i - 4. Let y be g(4). Let h = 0 - y. Suppose h*p + p = 4. What is the remainder when 5 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11178, -11189, -11214, -11259, -11330?\n\"Answer: -n**3 - n**2 - n - 11175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 5*l + 3. Let i be q(-3). Let m be -3 + (-1 - -4 - 0). Let w = m - i. Solve 0 = -v - w*v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -6632\nAnswer: 9\/1658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 212, 477, 846, 1319, 1896?\nAnswer: 2577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171111 is divided by 20786.\nAnswer: 4823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*w = -0*w - 1794 + 274 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/23008585 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126734217?\nAnswer: 3, 42244739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 335290 + -335269. Let t = -2 + 2. Suppose -y + t = 5, 3*g = -y + 16. What is the greatest common factor of g and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 8:57 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9573, 14756, 19939, 25122, 30305, 35488?\n\"Answer: 5183*q + 4390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*m = -10. Suppose -2*w = k - 5*w + 4, 0 = 5*w - m. Suppose 0 = 3*z + 2*z - 20. Put k, -5, z in decreasing order.\nAnswer: z, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvtgzjtvwvtttjvwww. Give prob of picking 1 v and 1 z.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 244\/51 + -11231\/2550. What is the common denominator of g and 68\/525?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22245, 89004, 200269, 356040, 556317, 801100, 1090389?\nAnswer: 1424184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -15*t**3 - t**2 - t. Let c be k(-1). Suppose -14*z - 10 = -c*z. What is the remainder when 29 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 27*v - 4830. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199684 divided by 49921.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2580\/(-1935)*(-18)\/(-84)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 18. Suppose 4*n - 4*p + 14 = 3*n, -3*n = -5*p + v. Let o = 101 + -83. What is the greatest common divisor of o and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/18 + 68\/18. Find the third derivative of -88*b**3 - 3*b**u + 88*b**3 + b**2 wrt b.\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 14 - 11 = 2*c, 0 = 5*q - c - 30. Sort q, 2, -2.\nAnswer: -2, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**5 + 4*j**5 - 3*j**5)*(139 - 25 - 16) + (-5*j + 5*j - j**4)*(-2*j + 4*j - 3*j).\nAnswer: -97*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5039\/8390 - -1\/1678. Let y = -1 - -1. Sort 3\/7, l, y, 0.5 in descending order.\nAnswer: 0.5, 3\/7, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 951593 by 3.\nAnswer: 951593\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3551 - -3237. Are t and -315 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -600546016 + -2?\nAnswer: -600546020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -182*b - 145. Let u(n) = -2*n**2 + 3. Let w be u(2). What is the hundreds digit of z(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3)\/66*-2*(-77)\/(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**5\/5 + 4726*l**4 + 189132*l**3\/5 + 425596*l**2\/5 + 378326*l\/5 + 23646 = 0.\nAnswer: -5, -1, 11823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4459150218 plus -1?\nAnswer: -4459150219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.1937 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -9)*(1 - (-3)\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 - 92. Let o be a + -9 - (-1 - 2). Let p = -56 - -36. Put -5, 1, p, o in decreasing order.\nAnswer: o, 1, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 2, n: 1, z: 1}. Give prob of sequence vz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 152814 - 28?\nAnswer: 152797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2)*(b + 2 - 2)*(3*b**3 - 2*b**3 - 2*b**3).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*s - 31*s + 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6507 or -6506?\nAnswer: -6507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28111, -28112, -28123, -28150, -28199, -28276?\n\"Answer: -p**3 + p**2 + 3*p - 28114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*h + 93*h = -n + 1548, 0 = -5*h + 5. List the prime factors of n.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 84019, 84748, 85479, 86212?\n\"Answer: x**2 + 726*x + 83292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 + 152 + (-15 - 2) + -6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*j + 2337 = -266 - 1851 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (38\/95)\/((-21)\/2730)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 408 divided by -2\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/746064 and 127\/1585386.\nAnswer: 12683088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 24880*v**2 - 21 + 21 + 24880*v**2 - v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, l: 1, j: 3, a: 5, i: 6, o: 1}. What is prob of sequence aiao?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**5\/20 + 13*n**4\/24 + 19*n**3\/6 + 5*n**2. What are the prime factors of q(-8)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66368878531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 1916106*c**2 + 45 - 20.\nAnswer: 1916106*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 28\/(-8) + 0)*14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 14723?\nAnswer: -14727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (12 - (2 + -2)). Let o = 142 - 62. What is the greatest common divisor of o and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -547797070 to the nearest 1000000.\nAnswer: -548000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19207600*o**2 - 2*o - 30234733*o**2 + 2*o.\nAnswer: -49442333*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 599, 444, 289, 134, -21?\n\"Answer: -155*v + 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.7 + 0.3. Let t = n - 2.94. Let b = -0.36 + t. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -4*h - 2*r - 222, -3*r = 6. Solve 0 = -4*z - 4*t + 28, -2*z + 3*t + h = 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbrxnrnnvrxvbrvxr. What is prob of picking 1 v, 1 r, and 1 n?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58.7 + -64.5926. Let m = -6.456 - j. Let v = 0.55 + m. Round v to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 140315337?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.38 and 0.0046.\nAnswer: -0.001748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a hour in seconds?\nAnswer: 38880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 349, 594, 837, 1078, 1317, 1554, 1789?\n\"Answer: -o**2 + 248*o + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14295 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 1)*(-16139)\/2. Let g = 10439 + c. What is g rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63218 + 1057782. Round x to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/28 + 18\/14. Suppose j - 4 = -k. Let q(v) = -v - 7. Let i be q(-11). Solve -32 = -k*b - b + i*m, 13 = -4*b - 5*m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 10. Let d(v) = 2*v**2 + 4*v - 4. What are the prime factors of d(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13209.969 + 13202. Let u = q + -0.031. Which is greater: u or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159982, -159997, -160012, -160027, -160042?\nAnswer: -160057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25 (b) 8 (c) 5 (d) -128 (e) -6 (f) 18\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -56 - 27c2c?\nAnswer: -27c83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 6*d**2 - 4*d + 4. Let v(s) = -3*s - 13. Let x be v(-6). Suppose 6 + 22 = 4*w - 4*t, -x*w + 33 = -4*t. Determine z(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816081 + 4.6?\nAnswer: 816085.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27866982 is divided by 13933490.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) + sqrt(91) + -3*sqrt(91)*-1)*-6)\/(sqrt(252) + sqrt(7) - 6*sqrt(112)) + -3)**2.\nAnswer: -180*sqrt(13)\/17 + 14301\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 119.\nAnswer: 35.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (798 - -2) - 7. Let a = 789 - o. Sort -2, 16, a in ascending order.\nAnswer: a, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v**3 - 3*v**2 - 59*v + 2. Let i(t) = 11*t**3 - 4*t**2 - 59*t + 3. Let s(l) = 2*i(l) - 3*n(l). Find the second derivative of s(w) wrt w.\nAnswer: -48*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 235 + 236 = 0. What is the fourth biggest value in 3\/2, b, 2, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -681316 - 30?\nAnswer: -681346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:52 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-3))\/(6\/(-9)) - -1. Suppose -5*d - 5 = 5. What is the closest to j in d, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*y - 20*y + 12*y)*(-3*y**2 + 207*y - 207*y - 1).\nAnswer: 150*y**3 + 50*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from bbfzu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/6)\/((-1902)\/954 + 2) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 25269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgbygghybyyxbyy. What is prob of picking 2 g and 1 y?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 21*s + 4. Let m(a) = -a. Let f(w) = -2*m(w) - n(w). What is the units digit of f(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*m - 232 = 788 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 1. Let m be n(10). Find the common denominator of 20\/10 + -3*485\/525 and -1*3 + m\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/((-1225)\/345) - -2. Let q = r + -83\/455. Let k = 0.1 - -0.9. Sort -14, q, k in ascending order.\nAnswer: -14, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 6 - 18 + 23*k + 3 - 73*k**4 to the form l*k**2 + p*k**3 + y*k + o + q*k**4 and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156867, 156866, 156865, 156864, 156863, 156862?\nAnswer: 156861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 8*v**2 - 12*v - 31. Let o be n(-7). What is the first derivative of 138*g**3 + g**2 - 271*g**3 - 40 + 133*g**3 + 6*g**o wrt g?\nAnswer: 24*g**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 526053275 to the nearest integer?\nAnswer: 22936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o**3 - o**2 + o. Suppose -m + 5*m + 8 = 0. Let j be 1\/(3\/(-6)*m). Calculate i(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 658258 and 1132.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 4*b - 490 = 4*f, -2*f + 178 = -2*b. Calculate the highest common divisor of f and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*o = -270*o + 2288 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(300) - sqrt(300))*1)**2 + -5 + (-2 + -2*sqrt(300)*-5)**2.\nAnswer: -400*sqrt(3) + 37499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -41998*s + 253598. Calculate x(6).\nAnswer: 1610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 6*d + w + 14, -14 = -2*d + 4*w. Suppose 0*h + d*h + 2*h = 0. Let o(u) = -u**3 - u**2 + u + 10. Give o(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-9) + ((-42)\/(-819) - (-287)\/(-273)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4167532 micrograms?\nAnswer: 0.0000004167532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 6*l**2 + l - 2. Let z be h(-6). Let d = z + 0. Is 8 a factor of (-2)\/(-1*(-2)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023483 is divided by 228?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -20. Let f = s - 4. Suppose -299 = -5*p - 3*w, 3*p - 185 = f*w - 3*w. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25132 is divided by 2792.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5)\/(h\/(h*h\/h**25)) assuming h is positive.\nAnswer: h**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16902 - -1?\nAnswer: -16901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10*j - 4*j - 2*j. Suppose 3*t - 6*t = -2*z + 31, -t = 2*z - 19. Let w(b) = -3*b**2 - 6*b**2 - 5*b**2 + z*b**2. What is r(w(h))?\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 3*n**2 - 1. Let b be u(4). Let p = -14 - b. Solve 5*t - 2*g = -12, -t - 2*g - p*g = 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168.02 - -774725406\nAnswer: 774725237.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -5, -2, 1 in increasing order.\nAnswer: -5, -2, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*p = 54*p + 3*u + 642, p + 2*u - 657 = 0. What is the highest common factor of 155 and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 1342?\nAnswer: 133a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b. Let f(n) be the second derivative of 0 - 6*n + 3\/2*n**3 + 0*n**2. Determine a(f(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 239, 244, 261, 296, 355?\n\"Answer: k**3 - 2*k + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + r**2 - 5*r. Let l(b) = 132*b**3 - 12*b**2 + 60*b. What is 3*l(p) + 36*u(p)?\nAnswer: 432*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -50 (c) -5 (d) 0.2 (e) -72\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389478447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1625*n**3 - n**2 + 7467*n?\nAnswer: 9750*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*m - 45*m + 27*m**4 + 214*m**2 - 217*m**2 to j*m**3 + i*m**4 + k + p*m + v*m**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 3*u**5\/10 + 5*u**4\/6 - 9*u. What is the third derivative of d(j) wrt j?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13534 + -1?\nAnswer: -13535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28102.7ml in litres?\nAnswer: 28.1027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -577717\/390 + 8891\/6. Find the common denominator of a and 46\/425.\nAnswer: 5525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/26254712 and 11\/184?\nAnswer: 603858376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**5 + 15*t**4 + 5*t**3 - 15*t**2 - 10*t = 0. Calculate t.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (714\/12)\/(1\/2). Suppose 5*x - n = v, 0 = 2*x - x + 5*v - 3. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = h - 4*h. What is the greatest common factor of h and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 459, 1004, 1769, 2760, 3983, 5444?\nAnswer: 7149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-50)\/(-6))\/((-12)\/(-324)). Suppose -v - 3*g + 63 = 0, -6*g + 3*g = 4*v - z. What is the greatest common divisor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 10*a + 3. Let h be i(9). Suppose -33 = -o - f, -4 = -2*f + 2. What are the prime factors of 2\/h + 1315\/o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j - 14*j - 2*p + 189 = 119 - 364, 10*j + p - 91 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/5 + (4 - 0).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4 + 810*i**3 - 85536*i**2 + 705672*i = 0. Calculate i.\nAnswer: 0, 9, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48614.3nm to kilometers.\nAnswer: 0.0000000486143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13709.1553 + -95700.\nAnswer: -81990.8447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3.2. Which is the biggest value? (a) 0.5 (b) 4\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 17 = 29 + 88 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/((-13)\/4). Let n be (-252)\/(-56) - (-1 + 6). Which is the nearest to n? (a) i (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135\/4 - -34. What is the second biggest value in 0.3, 0.5, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63655*x**2 - 5 + 5.\nAnswer: -63655*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 9. Suppose -q*d - 16 = m, 4*m + 2 = 2*d + 4. What are the prime factors of (-1316)\/(-16) - m\/(-4)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 71 (b) -5 (c) 8 (d) 139 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1\/5 (b) 1\/6 (c) -1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51958?\nAnswer: 2, 83, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + (238\/(-7))\/(-17)*3. Factor -1\/3*g**4 + 0*g**2 + 0 + z*g + 1\/6*g**3 + 1\/6*g**5.\nAnswer: g**3*(g - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awmnwnnyainwmnnnn. What is prob of sequence mw?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 317.647836 to one decimal place.\nAnswer: 317.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -37890000 to the nearest one million.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.22? (a) 3 (b) -0.04 (c) 2\/11 (d) 4 (e) 0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1839*z - 33102. Give f(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37.3 + -37. Let v = -92\/273 + 2\/39. Which is the nearest to v? (a) l (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 33. What is the least common multiple of (48\/a)\/((-4)\/10) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*l = -213*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/64*20\/5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-42))\/((6\/(-7))\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550 a factor of 168210750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2377227751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v + 47*v - 9 = 0. Put -0.1, 5, v, -3 in increasing order.\nAnswer: -3, v, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -135406*x + 4739132. Determine h(35).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21525 - -39000. Is 25 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5448436 and 251080.\nAnswer: 54484360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - -1. Let y = -1.5 - -12.5. Let p = -10 + y. Which is greater: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3100140.2 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 41769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131811428?\nAnswer: 2, 7, 59, 73, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n - 25. Let c be x(6). Suppose 25 = -c*b, 4 + 1 = 2*y - b. Solve -2*m - 5*f + 20 + 6 = y, -3*m + 29 = 5*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(143)*-4)\/sqrt(11) + -1*sqrt(1053)).\nAnswer: 26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y - 13. Let g(l) = -15*l - y*l + 54*l - 19*l. Let n(o) = 10*o**2. Calculate g(n(v)).\nAnswer: 70*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10821, 22200, 34141, 46644?\n\"Answer: 281*x**2 + 10536*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*r - 35, -3*a - 3*r + 46 = -2*r. Suppose 3*v = a, -j = v - 8 - 13. Solve j = -4*y - 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 13.892, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12530, -12668, -13118, -14036, -15578, -17900, -21158, -25508?\nAnswer: -31106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 7*g**2 - g - 6. Suppose 5*t + 6 = -29. Let k be f(t). Suppose 3*y - k - 5 = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 21. Let o(m) = -m + 30. List the prime factors of o(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(4\/30)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 525 and 136425.\nAnswer: 954975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.035404 millilitres to litres.\nAnswer: 0.002035404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55856079\/1238 + 45118. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from osfsoffoaooffoaos?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**2 + 3*f**2 + 5*f**2 - 36*f**2.\nAnswer: -38*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.05287, -0.325, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duuuuguuuddugguuuuug. Give prob of picking 4 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8)**(-37) assuming j is positive.\nAnswer: j**(-296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141219 and 39695.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s + 3*s + 16*s**4 - 10*s**4 + s**2 + s**4 - s**2 + (3*s**2 + 3*s**2 - 4*s**2)*(-s + s - 3*s**2).\nAnswer: s**4 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*z - 260*z = 1545936. Does 26 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i + 8 = -2*h, -i - 3*h - 2 = 0. Suppose 12 = l + 2*f, 0 = -l + i*l + 4*f - 42. Calculate the remainder when -1*((4 - 70) + -3) is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*31\/((-124)\/(-24))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 21 = -o + 4*n, -12*o + 0*n + 6*n + 44 = 2*n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-6) - 3\/(-6) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 319895 = -k, -51*k = -54*k - 2*s + 959641. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1376869 to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23 + -13 + 63 - (1 + (-2 - 0))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/35 and -73\/84700?\nAnswer: 84700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(247\/52 - 5). Solve -22 + t = 2*y + 4*z, -5*y - 4*z - 32 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6302800 rounded to the nearest one hundred thousand?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 26d1?\nAnswer: 26d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9*u - 5. Let n(k) = k - 1. Suppose 0 = -3*w + w - 8. Let h(v) = w*n(v) + l(v). Let b(s) = -3*s**2 - 129*s - 664. Let y be b(-6). Determine h(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*x - 190*x - 191*x - 193*x - 196*x + 969*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 0)*14\/(-98). Which is the smallest value? (a) y (b) 2\/9 (c) 7 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - ((159 - -3) + (-5)\/(-5)). What is the second biggest value in -5, 3, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8388 = 1496*i + 6572 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8229 = -69*j + 6*j - 148*j. Calculate the remainder when 264 is divided by j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73685995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.25. Let x = -0.05 - y. Let q be -1 - (-4)\/(-3) - -2. Which is the closest to -0.2? (a) q (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 13*v**6\/40 - 2*v**5\/15 + v**4\/24 - v**3\/6 + 5*v**2 + 1. List the prime factors of f(2).\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -31. Let o = 22 + x. What is the second derivative of -3*f**3 - 23 - o*f + 10 + 13 wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1 (b) -5 (c) 0.3 (d) -25 (e) 88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-52) - (7 - 10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10347 and -90.1.\nAnswer: -932264.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 187*x + 3. Is g(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 9*p - 6. Let y be v(8). Let j(r) = -34*r**2 + 3*r + 3. Let x(z) = 67*z**2 - 6*z - 7. Let w(l) = -13*j(l) - 6*x(l). Is w(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5521 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-3)*y)\/y)\/y)**(-28))**(-3) assuming y is positive.\nAnswer: y**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42774*w - 6800 = 42910*w for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 56 and 74.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (15 - 7) - (4 + 0 + -7)) + -107.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfzrlzh. Give prob of picking 1 r, 2 l, and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 495900 rounded to the nearest ten thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 862*r*x**2 + 125143*r*x + r + 6*x**2 - 25679184 wrt r?\nAnswer: 862*x**2 + 125143*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31013?\nAnswer: 31013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 18 = -4*h, -h + 9 = -4*h. Let b = q - 8. Is 18 a factor of 3 + 61 - (1 + b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36508 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -150.17 - -137. What is h rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.339675mg?\nAnswer: 9339675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h. Let z(w) = -135*w - 136*w + 398*w - 136*w. What is z(p(m))?\nAnswer: 54*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 5457.637.\nAnswer: -2183.0548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57784 - -3?\nAnswer: 57787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 15. Let j be o(-16). Let p = 10 - 12. Let m be p\/(-8) - 9\/24. Which is bigger: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 15*p = -2*n - 32, -4 = 2*p + n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1440.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, p: 3, a: 3, v: 2, r: 2, y: 1}. Give prob of picking 2 q and 1 a.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -192 + 190. What is the nearest to 2\/3 in -27, u, 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j**4\/5 + 3412*j**3 - 219074*j**2 + 3552924*j - 5800464\/5 = 0 for j.\nAnswer: 1\/3, 29, 36, 2778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166013 + 3*u**3 - u**4 + 166010 + 2*u**4 - 2*u**4 to the form t*u**3 + y*u**2 + h*u + n + o*u**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1.9. Let z = 3740\/9 + -41122\/99. Which is the closest to 1? (a) -6 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3722649, -3722648, -3722647?\nAnswer: -3722646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.23 + 0.3. Which is the nearest to -0.1? (a) -0.5 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3664 - 2534. Let t = j - 744. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 4070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14*5\/(-10) + (-11 - (-34 + -4))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 5) + 4 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3246, 3257, 3268?\nAnswer: 3279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + 4*g - 26 = 0, -z + 3*g = 17. Let t(f) = 2*f**2 - 3. Let i be t(z). What is the third derivative of -6*q**i - 93*q + 2*q**2 + 93*q wrt q?\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.78 times 0.2\nAnswer: 2.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 5*b + 16. Let o be z(-7). Suppose 3*c - 15 = 6*c, -1300 = -5*g + o*c. Is g a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -607 (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6595092559 plus -5?\nAnswer: 6595092554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -7. Let d = -136 - -159. Let i = s + d. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3. Let s = -6.4 + 1.4. What is the nearest to -2 in 0, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77 * 0.5.\nAnswer: 38.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 18*w**2 - 2*w + 21. Let k(c) = 9*c**2 - c + 10. What is -13*k(b) + 6*z(b)?\nAnswer: -9*b**2 + b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 3 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 830511000 to the nearest 1000000.\nAnswer: 831000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 865075314 divided by 3.\nAnswer: 288358438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s + 20. Let c be f(8). Let z be 15 + -2*(-1)\/(-2). Let q be -1*(-1 - z\/(-4)). Are c and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2. Let u be (28\/(-70))\/(2\/10). Let x be (u - (-1 + -2))*7. Let l(y) = 3*y - x*y - 19 + 19. Calculate m(l(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188*i + 1089*i = -47817 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.94469 and -1028504.2?\nAnswer: 1028506.14469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499 is divided by 56?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*135\/5 - (8 - 3). Calculate the highest common factor of 99 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o. Let p(q) = -28*q**2 + 4 + 31*q**2 - 4. What is p(r(s))?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(5\/2)*v)*v*v**(2\/5)*v*(v**(-2\/5)\/v*v)**37 assuming v is positive.\nAnswer: v**(-149\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, r: 8}. Give prob of sequence sssr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42593 and 537283.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*l - 2248*l**2 + 1138*l**2 + 1146*l**2 - 24*l in the form p*l + b*l**2 + g and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2301 = -4*r, 2*r - 1118 = -2*b + 40. Does 32 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -22, 4.28, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2967*h - 32773. Determine o(-11).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - 17. Let t = v + 16. Suppose -191 = 54*d - 29. Which is the nearest to 1? (a) d (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 2. Let z(s) = -s**3 + 4*s**2 + s - 2. Let u be z(4). Let c be u + l + (-4)\/(-2). Solve a - 3*i = -c*i - 11, 2*a + 2 = i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/435 + 1289\/3480. Which is the fourth biggest value? (a) -0.5 (b) w (c) 2\/9 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95429 + -95445. Let m(d) = d**2 + 5*d + 1. Let u be m(-5). Which is the smallest value? (a) -0.4 (b) u (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1754569 or 1754563?\nAnswer: 1754563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 14 + 4 = 0, 0 = 3*b - 2*x - 11. Suppose 4*o = 21 - b. Suppose l - 2 = o*a, -2*a = 2*a - 16. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 22.506264 months?\nAnswer: 0.001875522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/32186 and 43\/1064.\nAnswer: 128744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 1. Let s be o(0). Let f be (s + -2)*3 + -3. Find the common denominator of -19\/24 and 458\/20 - f\/20.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 2*y - 1\/20*y**5 + 0 + 5*y**2 - 2*y**3 + 5\/6*y**4. Is n(8) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 10:46 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/13 (b) 0.044 (c) -4\/3 (d) -2\/9 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 20*j**2 - 5*j + 3. Let q(w) = 409*w**2 + 95*w**2 - 2 + 4*w - 525*w**2. What is 2*g(l) + 3*q(l)?\nAnswer: -23*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cabb - 8909?\nAnswer: -164c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*a + 2)*(a**3 - 3*a**3 + 4*a**3)*(9 + 8 + 0).\nAnswer: -136*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 7*a**2 - 4*a. Determine s(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44\/3 + -15. Let s = 23.488 - 22.988. What is the closest to 3 in 0.2, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00122942659 rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 214 - 351. Let r = -79 - l. Calculate the remainder when r is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*f + 5 = -8, -2*g - 2*f = -4. Let v = -15 + g. What is the remainder when 17 is divided by (-11 - v) + 4*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 828\/(-8))\/(1\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 363 - -11?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**3 + 6*g**3 - g**5 + (2*g - g - 3*g)*(-3*g**4 + 7*g**4 + 0*g**4) - 4*g**5 - 2*g**5 + 4*g**5.\nAnswer: -11*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*j + 0*j + 8 = 0, -3*o - 5*j + 20 = 0. Suppose n + c + 3 = o, -n + c = n - 9. Solve -f + n - 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*a + 6366, 5*r = 3*r - a + 4244. Suppose 5*x + 2*z = r, 2*x + 3*z + 845 = 4*x. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**4\/24 + h**3\/2 - h**2. Let j be s(4). Let w = -1222 - -1215. Is w equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -5, 1009 in descending order.\nAnswer: 1009, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l**2 + 64*l - 7. Let d be t(7). Solve d = -4*x - x - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -211 + 211 - 4*v**2 + v - v - 2*v**2 + (-2*v + 2*v - 2*v)*(-3*v + 6*v - 5*v) + (-2*v + 2*v + 2*v)*(-2*v + 2 - 2) + 1 - 1 + 2*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 23770*j**2 - 501275*j - 477500.\nAnswer: 5*(j - 4775)*(j + 1)*(j + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10287?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 6*g**3 + 19)*(-300 + 300 + 45*g**2).\nAnswer: 270*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2136454583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yomxypyyym. What is prob of sequence pxo?\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*v + 48 = 0, -2 = 2*q + 3*v + 22. Let h be ((-74)\/q)\/(-1) - 18\/(-108). Which is the nearest to -1? (a) h (b) -1\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73.8 + 74. Which is the nearest to 2\/3? (a) z (b) -3 (c) -22 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110414014 (base 5) to base 2.\nAnswer: 1110101110001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7520 - -90361\/12. What is the common denominator of -79\/14 and l?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/3, -47944210 in increasing order.\nAnswer: -47944210, -2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 976 and 19075432.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 8:46 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -50, 2, 166, -3, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-1430))\/(172\/(-1118))\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -92 + 272*l + 170 + 293*l - 111 wrt l?\nAnswer: 565","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) -16.9 (c) 0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 557261763 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/10577 and 19\/8?\nAnswer: 84616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8009*c + 16 - 16 + 0.\nAnswer: 8009*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 18*l - 5. Let c(k) = -17*k + 4. Let x(u) = -6*c(u) - 5*t(u). What is x(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -16 and -15790 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - a)*(10*a - 6*a + 10*a).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 7*v**5\/20 - v**3 - 2*v. What is the second derivative of p(f) wrt f?\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/12*-1*(0 + 3). Suppose x*g - 110 = 8*p - 4*p, -2*p - 2*g = 70. What is the units digit of (-54)\/(-1) - p\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -3.\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (5 + 4 + -6 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.220474098 to 3 decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 13*z = 22. Solve 6 + z = 7*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: c95b7 (base 14) to base 13\nAnswer: 140785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = l + 839 + 545, -5*u + 3471 = 3*l. Suppose 2*w + 4*r - 1359 = 7*r, 3*r = -w + u. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -785312 - 4178.68?\nAnswer: -789490.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 16*s. Let d = 508 + -501. Let i(z) = -d*z + 0*z + 2*z + 2*z + 4*z. What is l(i(b))?\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 + -50. Suppose -25 = 5*u + m. Let k = u + 32. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 5 = 11*w. Suppose 10*f = w*f + 30. Solve -f = x - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4468*(-3)\/(12\/11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559*l = 553*l + 36 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -876.1 rounded to the nearest 10?\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/3)*d*d*d\/(d**(-2\/15)*d))\/(d**(-1)*(d*d**(-8))\/d))\/(d**(8\/3)\/d**(-5))**(-42) assuming d is positive.\nAnswer: d**(1669\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) -0.48 (c) -1\/3 (d) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 - 292 = -2*c. Suppose 4*m - c*m + 18400 = 0. Round m to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*a + 20*a + 8568 = 0. Suppose 5*m - 5 = s, 15 - 5 = -3*m - 2*s. Suppose 3*c + 9 = m, 4*c + a = 2*v + 2*c. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 46 - a + 10926*a**2 + 23*a - 10925*a**2. What is r(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**7\/147 + 2*h**6\/105 - 6*h**5\/35 + h**4\/3 - 5*h**3\/21 + 15*h. Factor n(c).\nAnswer: 2*c*(c - 1)**3*(c + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900 is divided by 91?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 87266, -2 in ascending order.\nAnswer: -2, 1, 87266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 27*n - 44 - 80 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1008487331?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/11 and 17\/218.\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20200051211 - -1?\nAnswer: -20200051210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -10270*f - 5154*f + 4595*f in the form z*f + t and give z.\nAnswer: -10829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.5264337ns to days.\nAnswer: 0.00000000000017970409375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 8*t**2 - 4*t - 4. Let b be x(-7). Let d = b - -51\/2. Let j be (-8)\/230*(-10)\/4. What is the third smallest value in -4, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 8. Let s = -16 + x. Let i = -6.1 + s. What is the nearest to 0.1 in -0.5, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -14 - 8 - -1 - -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 970828235?\nAnswer: 5, 13, 79, 189061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 10:54 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 231*r**3 - 5*r**2 - 14*r - 8. Let c be j(-6). Round c to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1940442640 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2202333121 (base 4) to base 5.\nAnswer: -132330414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 6*j + j - 2. Let f be o(-2). Suppose 5*q - 4 = f. Solve -u + q = 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17100 divided by 1128\nAnswer: 1425\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/3 - 31684*g**2\/3 - 817700*g - 15905604.\nAnswer: -4*(g + 39)**2*(g + 7843)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from didxbbxddxx.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*c + 26 = -40*c - 5*y, 65 = 2*c - 3*y. Let g be (-6 + 2)*38*-2. What is the highest common factor of c and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21485*z**3 + 6345*z**3 - 9863*z**3 + 1 - 1.\nAnswer: -25003*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Let f be (-2)\/(-4)*0\/2. Find the first derivative of b + z + 2*b + f*b wrt b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 greater than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 198 - 197. Solve 0*s - 19 = -4*s + 5*h, v = -2*s - h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-34)*n)\/n*n**(3\/17)*n)\/(n**(-32)\/(n\/(n*n**(-3\/31)))) assuming n is positive.\nAnswer: n**(-383\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1631.6 * -0.399\nAnswer: 651.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1558041 and 67363.\nAnswer: 2173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, -9, -86, -245, -516, -929, -1514, -2301?\n\"Answer: -5*j**3 + 4*j**2 - 2*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.8 (b) -19 (c) 3 (d) 4\/11 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 167592470, 4\/9, 2 in descending order.\nAnswer: 167592470, 2, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6699, -6630, -6563, -6498, -6435?\nAnswer: -6374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 153280927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000017639 to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**5\/40 + 9*k**4\/8 + 116*k**3\/3 - 156. Let j(y) be the third derivative of d(y). Give j(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 5:11 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39010.\nAnswer: 2, 5, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 53955 (base 11) to base 14\nAnswer: 207a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:18 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 = p, -3*y + 4*p - p = -6. Suppose 6*n - 9*n = -6. Suppose 0 = n*u - 12. What is the least common multiple of y and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9282 and 57834?\nAnswer: 751842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 + (-2 - -7) + -12\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8032016 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -24. Let k = 11 - z. Suppose n = -k*n + 91. What is the greatest common factor of n and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 5*v + 3. Let x be l(-4). Let p(t) = -t**3 + 6*t**2 + t - 4. Calculate the remainder when (3 + -2)\/(x\/35) is divided by p(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 11:45 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 0*v - 3*v - 3 - 4 to c + r*v and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/7 - 11574*z**2 - 162024*z\/7.\nAnswer: -3*z*(z + 2)*(z + 27004)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -149 + 252. Calculate the smallest common multiple of 4 and o.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17c + -de3?\nAnswer: -c66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-484)\/(-80) - 1911\/364\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3a970 (base 11) to base 15\nAnswer: 12484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1257, -1253, -1249, -1245, -1241?\nAnswer: -1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 291.1 + -308. Let t = f - -15.9. Is t at most -1\/216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, 8, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 10. Suppose q - 14 = d. What is the highest common divisor of q and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.845585 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 15191033058\nAnswer: 15191033035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 25 - 376*r - 13 + 127*r - 29.\nAnswer: -249*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**5 - 2*w**4 + 8*w**3 + 4*w. Let o(c) = 3*c**5 - 3*c**4 + 15*c**3 + 7*c. Let x(q) = 7*f(q) - 4*o(q). Factor x(t).\nAnswer: 2*t**3*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -2*p**5\/5 + 119*p**4\/2 - 1277*p**3\/3 + 128. Find the third derivative of k(u) wrt u.\nAnswer: -48*u + 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15409a (base 11) in base 16?\nAnswer: 3a849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 70*o = 65*o + 25, 2*k - 2 = -o. Let c(x) be the second derivative of x**4\/6 + x**2\/2 - 4*x. Determine c(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4098 + l**3 - 1353 - 1391 - 1354.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/127725 and -23\/229905?\nAnswer: 1149525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 9:48 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1754, -0.04, 0.0309?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 27 - (-3 - 17)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from {u: 4, l: 1, h: 2, x: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -52?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*b + 30*b + 47*b)*(0 - b**4 + 0).\nAnswer: -92*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n + 2. Suppose 3*a + 38 = i + 191, n*a + i = 263. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 - -a7d12?\nAnswer: a7d2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 39728 + 39658 = -g, 0 = 2*g - 4*c - 62 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 3*x + 6. Let z be t(-5). Let n be ((-10)\/z)\/((-22)\/44). Is n greater than -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**3\/3 + 26. Let n(w) = -9*w. What is n(r(k))?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558 divided by 3.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - 7.6. Let q = -7.8 - f. What is the nearest to q in 0, 4, -3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1893 and 7082975.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 - -73. Put -0.1, 1\/4, -5\/9, n in increasing order.\nAnswer: -5\/9, -0.1, 1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 1728436*y.\nAnswer: -2*y*(y - 864218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3151, 6276, 9331, 12280, 15087?\nAnswer: 17716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 34, -3\/43, 2\/11, -0.5, -5?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j*j\/(j*j**(-1\/8)*j)))**(1\/9)\/(j**8)**(37\/5) assuming j is positive.\nAnswer: j**(-2373\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4479*g - 2157*g - 2320*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 - 71130*g**3 + 213420*g**2 - 213430*g + 71145.\nAnswer: -5*(g - 1)**3*(g + 14229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390 - 123 = -23*a + 177 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (6 - (0 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*z - 2 + 3 = 0, -4*m = -z - 47. Let n be (m\/52)\/((-2)\/(-32)). Let h be 294\/n*14\/(-21). Is -48 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10814?\nAnswer: 2, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2552 and 22.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*y = -140*y - 325040. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2*9.48543.\nAnswer: -20.867946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 + 91*f**2 - f**4 - 748755*f**3 + 748754*f**3 in the form l*f**3 + z*f**4 + t + c*f**2 + h*f and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121221201 (base 3) in base 2?\nAnswer: -1100101000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 615464580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 374.4288 - 375. What is k rounded to 2 decimal places?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 0 - (2 + -2)) + 3. Let b(j) = -j**3 + 4*j**2 - 7*j + 4. Let m(p) = -3*p**2 + 6*p - 3. Let s(a) = z*m(a) + 3*b(a). Factor s(d).\nAnswer: -3*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -8 - (-42180)\/6216?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1 + 5*k - 2 - 6. Let w(h) = 48*h + 23. Let z(p) = 17*p + 8. Let v(c) = -6*w(c) + 17*z(c). Let y(t) = -4*v(t) + x(t). Calculate y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9458 + 9472. Is a <= 138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/5 (b) 1\/3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1515738, 1515736, 1515734, 1515732, 1515730?\n\"Answer: -2*x + 1515740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i. Let j(q) = -q. Let n(o) = -o. Suppose 9*l = 3*r + 4*l - 24, -2*r = -4*l - 18. Let z(m) = r*n(m) - 6*j(m). Give b(z(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + (2 - 3) - -5 - -14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 7*m + 12. Let w be s(-6). Let r be (-2)\/(2*w\/(-54)). Solve 1 - r = -2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*p + 18 + 1 = 0, -3*p = -4*s + 17. Is 3\/((4\/s)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1238*a*d**2*z - 7*a*d*z**2 - 69*a*z**2 - 17*a*z + 5*a + z**2 wrt d?\nAnswer: 2476*a*d*z - 7*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/7106 and 81\/646.\nAnswer: 7106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*u**2 - 1367*u + 1367*u.\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-63 - -35)\/(-168)*(-9)\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13625 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 21*w**5 - 233*w + 108. Find the first derivative of u(h) wrt h.\nAnswer: 420*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -57*c**3 + 2*c + 1. What are the prime factors of g(-2)?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/159 - -481\/318. Which is the nearest to -2\/3? (a) u (b) -2\/9 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 2*r + 1. Let s be n(4). Suppose -3*t + s = 2*t. Suppose -t*a = -a - 20. Solve 0*w + 3*w = -4*y + 23, -3*w + a*y = -5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 w, and 1 h when four letters picked without replacement from hqhhhwqqhmmmq.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o + 19. Suppose -n = 4*j + 12, 5*n + 4*j - 6*j - 6 = 0. Is v(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9138 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 757495 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2272 + -2276. Put 7, 83, v in ascending order.\nAnswer: v, 7, 83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7388d (base 16) in base 6?\nAnswer: 14050513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 129\/794?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**2*v**3 - g**2*v + 876995*g**2 - 3*g*v**3 + 37487*g + 23 wrt g?\nAnswer: -6*v**3 - 2*v + 1753990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 - 232. Let i = j - -103. Suppose -5*w + t + 4*t = -915, 5*t + i = 0. List the prime factors of w.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + (10 - (1 + -1)) + 53 + -72?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 41. Let q(x) = 12*x**2 + 34*x - 238. Let f(s) = -4*s**2 - 12*s + 84. Let o(m) = -17*f(m) - 6*q(m). What is o(t(l))?\nAnswer: -4*l**4 - 328*l**2 - 6724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 - -10*(-7)\/336. Let p be (-1)\/2 + (-3)\/(-2). Which is smaller: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/9*-3 + 1. Let x = d + 7. Suppose -2*h = i - x - 7, -h = 5*i - 26. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000754756 to 6 dps.\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006699 to 5 decimal places.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 217381 minus 0.42351?\nAnswer: 217380.57649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12614328.\nAnswer: 2, 3, 19, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118*x**3 - 35*x**3 + 60*x**3 - 80*x**3 + 0*x**2 + 2*x**2 - 63*x wrt x?\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 + 118. Let l = g + -33. Calculate the greatest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + b - 1. Let z(m) = 21*m**2 - 9*m - 21. Let a(k) = 18*r(k) - z(k). Let q be ((-1)\/1)\/(0 - (-7)\/(-56)). Let x be a(q). Is x smaller than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13001458 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-7 + 2 - -2). Let l be -3 + 0 - -3*r. Solve 4*d - 3*n - 5 = 2*d, l = 3*d + 2*n - 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -w + 13, -2*f + 10 = -24*w + 26*w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/2)\/(-1*(-2)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.5, 0.12, 0.01?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-30))\/((-98)\/4900).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 6, v: 4, s: 7}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((-1*sqrt(315))\/sqrt(9))\/((sqrt(20)\/(2*sqrt(4)) - sqrt(5)) + sqrt(5)) - (1*(sqrt(343) + -2) + 3)**2).\nAnswer: -345 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/5, 9.0142 in increasing order.\nAnswer: 1\/5, 1, 9.0142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3))\/((-646)\/1938). Solve 225*l - h = 224*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 - z**2 - 3*z**2)*(-11*z**2 + 2*z**2 - 3*z**2).\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/141212 and -25\/688.\nAnswer: 564848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 2*v = 2*w + 2*w + 10, 153*v = -5*w + 39*v + 104 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -3\/7 (c) 0.2 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -7. Suppose m*z - 48 = 4*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kttt. Give prob of picking 1 k and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 8085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291821353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 2493 and 96298702.\nAnswer: 96301195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4592, 4591, 4590?\nAnswer: 4589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 1\/8*h**4 + 0*h**2 + 1\/3*h**3 + 0*h + 3. Let a(l) = 0. Calculate l.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*u + 17 - 17 to x + l*u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 34*l = 29*l + 125, -4*j + 100 = 5*l. Solve 120 = w - j*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 177*n**2 - 232*n - 59. Let x(v) = -32*v**2 + 47*v + 12. Give 2*a(g) + 11*x(g).\nAnswer: 2*g**2 + 53*g + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -665557, -665553, -665539, -665509, -665457, -665377, -665263, -665109?\n\"Answer: r**3 - r**2 - 665557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = 3*q - 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3 + 0*z - z**2 + 0*z**2 + 3*z. Let d = 124882 - 124877. Give g(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 779\/1045 + 2\/(-10). Determine h so that -2\/11*h**3 - 2\/11 - j*h**2 - 6\/11*h = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -55, -26, 15, 68, 133?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -270? (a) 0.5 (b) 6 (c) 0.4 (d) 2 (e) -4 (f) -252\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1499*j**4 + 5 + j**2 + 3004*j**4 - 1500*j**4 as u*j**4 + m*j**3 + y + n*j**2 + f*j and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 15\/6*(-32)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/33 and 52\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u. Let g(r) = -85 + 144 - 20588*r - 59. Determine g(v(l)).\nAnswer: 41176*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2205, 4452, 6747, 9090, 11481, 13920?\n\"Answer: 24*p**2 + 2175*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000691300899 to six decimal places.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181456 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 18*s**2 + 14*s + 40. Give f(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6386240?\nAnswer: 2, 5, 7, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 32*u + 1. Give t(2).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400, -791, -1184, -1579?\nAnswer: -1976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 13. Let l(w) = 15*w + 124. Let k be l(-9). Calculate d(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3500*b + 14 + b**2 + 10 - 2 + 27149*b.\nAnswer: b**2 + 30649*b + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473772207?\nAnswer: 3, 157924069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o = -256 + 2839. Which is smaller: -580\/9 or o?\nAnswer: -580\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**3\/3 - 10367789*i**2\/3 - 228090995*i\/3 - 1254499807\/3 = 0.\nAnswer: -10367767, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35238 (base 13) to base 12.\nAnswer: 481b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 0*q**3 + 0 + 12*q**2 + 0*q + 1\/336*q**8 + 0*q**6 + 0*q**7 + 0*q**4 - 13\/60*q**5. Find the third derivative of r(n) wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(9*10\/(-120)). Which is the closest to -2\/9? (a) 3 (b) 1 (c) -1\/6 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3785715*d + 587933.\nAnswer: -3785715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2855\/2 + -1472. Calculate the common denominator of j and -85\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 10*p - 7. What is the tens digit of x(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3145.\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 - -138. Let x(l) = 22 + 4*l - 3*l - h + 18. Let t(d) = -20*d + 24. Calculate t(q) + 24*x(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -291 + 283.81. Let z = 8.1 + f. Let n = -1.32 + z. Round n to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -403740, -403719, -403698?\n\"Answer: 21*q - 403761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.226 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/172 or -1?\nAnswer: 5\/172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g**3 + 14*g**2 + 16*g. Let u(o) = 4*o**3 + 5*o**2 + 6*o. Let p(i) = -3*t(i) + 8*u(i). Let f(r) = 5*r**3 - 4*r**2. Determine 3*f(c) - 5*p(c).\nAnswer: 5*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*o - 195*o + 77*o = -297*o + 33534 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1265, -3232, -5199, -7166, -9133?\nAnswer: -11100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssuysssssyy. Give prob of picking 1 y and 1 u.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13*c**2 - 6. Let g(w) = -4*w**2 + 2. Let l(o) = 3*d(o) + 8*g(o). What is the derivative of l(m) wrt m?\nAnswer: 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/1 + 1 + 20\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053620125 to the power of 1\/2, to the nearest integer?\nAnswer: 32460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 21. Let h be 6\/(5 - -13)*1*i. Solve l - o = o - 3, o = -h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 5. Let a be b(4). Let o = a - 8. Suppose o = 2*v - 5, 3*x + 3*v = 45. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 0 + 5 - 13 + 3*b. Let w be r(4). Let h = 1691 - 1690. Solve -3*p = y + h, -4*y = -w*p - 5*y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 246.\nAnswer: 246.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -657 (base 9) to base 2\nAnswer: -1000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2531142 is divided by 49630?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82703 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1627479573 and -0.3.\nAnswer: 1627479572.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {y: 7, d: 3, s: 4}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 - 83. Suppose 3*l + 12 - 3 = -4*u, -4*l = 4*u + f. Let g = 2.04 - 0.04. Which is the second smallest value? (a) u (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00387245874 to seven decimal places.\nAnswer: -0.0038725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3619099 and 121?\nAnswer: 39810089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -13*n - 28*n**3 - 23*n**3 + 50*n**3. Let c(s) = s. Give x(c(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2164*x - 1403. What is the ten thousands digit of k(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*r - k - 4, 3*k = 4*r + 3. Suppose 0 = -5*h + d - r*d, -5*h = -4*d - 30. Suppose -h*y + 12 = -y. What is the greatest common factor of 8 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + l**2 + 1. Let a(r) = 2*r**3 - 6*r**2 - 3. Let v = -47 + 42. Calculate v*z(u) - a(u).\nAnswer: 3*u**3 + u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_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: Expand (3 - 1 - 5)*(0 + 0 + j)*(1 + j**2 - 1) + (-4*j + 2*j + j)*(-2*j**2 + 2*j**2 + 2*j**2) - j**3 + 2*j**3 - 2*j**3 + 2*j**3 + 1 - 1.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169621683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 4*i + 182. Suppose i = -4*r - 5*f, 5*r + 2*f + 125 = 7*f. Let k = -30 - r. Round k to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*(-1512)\/(-288).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*-96*(-22)\/66?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -626 - -639. Suppose -o*v = -37*v. Which is bigger: 1\/55 or v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -366082 and 1676883.\nAnswer: 1310801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -2076 - 3503. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -19, 2, 1542, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 - 125. Suppose -4 = -4*n, -3*n - 43 + 6 = -5*c. List the prime factors of a - 0 - (-136)\/c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from hhhhhtthhththhth.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 720 - 2092\/3. Let k = -11\/20 + -157\/10. Find the common denominator of k and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1199\/5 + 239. Let i be ((-22)\/154)\/((-90)\/35 + 3)*-57. What is the smallest value in r, i, 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 9*h**2 + 4*h - 10. Let t be d(-8). Let m be (-2)\/17 + (-144)\/(-68). Suppose -3*n = -m*f - 95, -4*n + t + 101 = f. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 135?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -9\/10, -2\/29, 30?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 181? (a) -2 (b) -7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -771, -189, 34 in decreasing order.\nAnswer: 34, 0, -189, -771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*g**3 + 7 - g + 40*g**3 + 3*g**4 + 2*g + 0*g to the form t*g + p*g**4 + f*g**3 + z*g**2 + o and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-20) + (-10)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15296.266 - 15315. Let a = 18.9 + s. Let t = 0.16599899 - a. Round t to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*h**2*u + 23*a**3*u + 2*a**3 - 7*a**2*h*u + 2*a*h**2*u + 4*h*u wrt a.\nAnswer: 6*h**2*u + 138*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppqp when four letters picked without replacement from pppqpppppppp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2750392108?\nAnswer: 2, 103, 6675709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -w + 4. Let y be w + 1696\/(-2 + -2). Let k = y + 617. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 - 3*x + 3. Let p(g) be the first derivative of -2*g**3 - 4*g**2 + 8*g + 14. Let k = 1 + 2. Give k*p(b) - 8*l(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -106c66c (base 13) to base 5\nAnswer: -2241310033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0 - -5) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 243*g + 974. What is o(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -433709.534 rounded to the nearest 100?\nAnswer: -433700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1282714 and 1.\nAnswer: 1282715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 7*w + 11. Let j be d(-8). Let u be (6 + 6)\/(j\/2). Suppose -y = y - u. Solve 4 = -y*l + 8*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2851586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*u - u. Let l = u + -7. Solve l*d + 3*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1021 (b) -2\/5 (c) -0.1348 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4028726 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186195 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157132?\nAnswer: 2, 289283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19553987551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -6 + (-1 + -4 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*g + 1106 = 2545 + 1258. Let i be (-1 + 2)\/(2\/4). Suppose f - 48 = -i*f. Calculate the remainder when g is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 30\/17, 0.6 in increasing order.\nAnswer: -0.5, 0.6, 30\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-10) - (-153)\/(-85). Let q be 33\/2*k*-1. Suppose -4*c = -12, -7*c + q = 3*g - 3*c. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.864 - -14.864. What is the fourth smallest value in -5, -2\/17, b, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -18.17. Let j = 0.07 + z. Let y = 2 - 1.5. Which is the second smallest value? (a) j (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24802?\nAnswer: 2, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 55. Suppose 3*m = -5*u - y, 2*u + 10 = 2*m - 3*m. Is m at most -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-3)\/(-216)*-6\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180547142 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -4*d + 28, 105*k - 108*k + 12 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1435 - 0.13. What is w rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-756)\/36)\/((5\/(-2))\/((-70)\/42))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10563 and 6.\nAnswer: 21126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdrssrsrss. Give prob of picking 1 r and 1 d.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s. Let i(k) = -2*k**2 - 33156962. Calculate i(g(y)).\nAnswer: -162*y**2 - 33156962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 5*j + 0*j)*((-5 - 1 + 0)*(j - j - 2*j) + j - 2*j + 0*j + 5*j - 2*j - 4*j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -615 by 1.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 320147?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2474.28158 rounded to 0 decimal places?\nAnswer: -2474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7473, -59737, -201593, -477837, -933265, -1612673?\n\"Answer: -7466*a**3 - 2*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + 120 + -72 - (-6 + (1 - 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27889)\/(-3) + (-4)\/12. Let a = r + -55915\/6. Calculate the common denominator of (-33)\/(-3) - (-9)\/12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 1:54 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.5 + -210.\nAnswer: -212.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**3 - 256*k**2 - 704*k - 109. Determine p(88).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 43027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14952900 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzm when three letters picked without replacement from mmmmmmzzm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v + 6384 = -156*v - 154*v for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/24*(-4)\/(-18). Let o be ((-9)\/(-12))\/(-1)*88\/(-231). What is the nearest to o in i, -0.02, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10920235 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 1, 0 in increasing order.\nAnswer: -5, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**3 - 4*u**2 - 8*u + 22. Let m be r(6). List the prime factors of ((-54)\/12 - -5)\/(1\/m).\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.010256 and 412?\nAnswer: 4.225472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52653175 - -323536233. Let a = -376189473.0000196 + c. Let d = 65 + a. What is d rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51439 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**3 + 7*m**2 + 4*m**3 - 3*m**2 - m + 3*m**4 - 11*m**3 in the form b*m**4 + c*m**2 + x + u*m**3 + a*m and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -18. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -341 (b) -15 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + 3*l + 0*l + 35*l**3 - 17*l**3 as k*l**3 + d + i*l**2 + t*l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -100*a. Let d(j) = -11*j. Let r = 411 - 466. Let l(z) = r*d(z) + 6*q(z). Let g(h) = 13*h + 3. Calculate g(l(m)).\nAnswer: 65*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 p when four letters picked without replacement from pkkpkzkkkkkzkk?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2. Let j(u) = 36*u**2. Give j(n(t)).\nAnswer: 324*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 36, 25, 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g = 0. Suppose g = 4*h + 26 - 154. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711.3566 nanograms in milligrams?\nAnswer: 0.0007113566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3149, 6240, 9333, 12428?\n\"Answer: d**2 + 3088*d + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718758.\nAnswer: 2, 3, 73, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 - 1) - (-1 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8641 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/76500 and 149\/4500?\nAnswer: 76500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 539656068?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {d: 1, k: 1, o: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a + 40. Let d(n) = 5*n + 39. Calculate 3*d(z) - 2*g(z).\nAnswer: 3*z + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -3) + -2 + 2. Let r = 129 - 128. What is the smallest value in r, 3, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 11*b = 17*b - 348160. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 5*y + 26, -3*y - 4 = -5*y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*g = 616*g - 11979 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.6 - 15. Let p = 167\/5 - 33. What is the closest to -0.1 in w, p, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 105 = -4*m. Is (-1816)\/(-28) + 5\/m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 74. Is -25 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497128473?\nAnswer: 3, 55236497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0148802 to four dps.\nAnswer: 0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 170.3838 and 0.7?\nAnswer: 169.6838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**5\/20 + 13*r**4\/3 - 21*r**3\/2 - r**2 - 1472*r. Give p(34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-8))\/(4\/(-8)) - -4. Let y be 24\/(-110) - (s - (-150)\/(-22)). Let k be 1\/(-1) - 76\/(-84). Which is the nearest to 2\/3? (a) y (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -219, -195, -151, -81, 21?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.0544, 21, 10?\nAnswer: -0.0544","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v - 16. Let q(g) = -2*g - 5. Let w(h) = 16*q(h) - 5*s(h). Let n(r) be the third derivative of r**5\/30 + r**2. What is n(w(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223209 is divided by 926?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 34.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 19622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n = -20*n - 772. Let v = n - 73. Find the second derivative of 0*h**3 + 0*h**3 + v*h**4 - 128*h**4 + 13*h wrt h.\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30267229 to the power of 1\/2, to the nearest integer?\nAnswer: 5502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1571805 in 0.5, 5, 1, -5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 12, 4, -9 in increasing order.\nAnswer: -9, -3, -2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148697 or -148702?\nAnswer: -148702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence viit when four letters picked without replacement from {i: 5, t: 1, e: 3, v: 4, j: 1}?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 21944706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 10799910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2. Let s be ((-1)\/(-8))\/((-11)\/(88\/(-12))). Let v(m) be the second derivative of m + 0*m**3 + s*m**4 + 0 + 0*m**2. Determine v(y(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 7 - 285*g + 7 + 5 - 5 as q + a*g and give a.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.052 (b) 0.1 (c) -5\/9 (d) 3\/7 (e) 0.082 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 46 (c) -4 (d) -0.5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 240248\/13739 + -40\/1249. Let k = 1366\/77 - i. Are -0.209 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 102610492, 205220986, 307831480?\n\"Answer: 102610494*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 248.\nAnswer: 7\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -7*w - 18*w + 35, 4*w = 2*w - 5*d - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - k + 8. Let t be (-3)\/(-15) - 3\/15. Let p be b(t). Let r = p + -3. What is the remainder when 8 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 6 (c) -5 (d) 1\/18 (e) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 3944.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51209.72 micrometers?\nAnswer: 51.20972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -1.82351.\nAnswer: 0.729404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Solve 10 = i*s - 5*r, -2*r + 5 = -s + 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44)\/(-3) - (-3)\/9. Suppose 0 = 5*f - 5*y - c, -5 = -5*f - 0*f - 5*y. Suppose 78 = f*v + 30. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 30. Suppose 5*n = 5*a + 15, -b*a = -7*a + n + 5. Solve 0 = -3*r - a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 8:13 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37370, 37382, 37400, 37424, 37454?\n\"Answer: 3*f**2 + 3*f + 37364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 11017891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*i - 16 + 41 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 - 14*z - 3. Let b be j(5). Let o = b - 2. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7831 - -1196423919.2?\nAnswer: 1196423922.9831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8200\/1350 - 5\/(135\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 7*l + 11. Let u be r(-4). Calculate the common denominator of 58\/21 and 1*u + ((-1375)\/(-120))\/(-11).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) - (-21)\/(-12). Let x = 6.43 - 5.1. Let a = -0.33 + x. What is the closest to a in z, 1\/4, -8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -654*m + 2 + 653*m - 634*m**2 + 373*m**2 - 734*m**2 to the form b + j*m**2 + t*m and give j.\nAnswer: -995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*o - 4*w - 5, -3*o + 3*w + 15 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32738015 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-9) + (-824)\/18. Let p be (780\/10)\/13 - 334\/2. Let q = g - p. What is the remainder when q is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0511 + -2.0511. Put m, -129, 4 in descending order.\nAnswer: 4, m, -129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 3440520249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*c**4*k - 200*a*c**3 + 2*a*c*k + 2*a*c + 109*a*k + 4*c**3*k - c**2*k + c**2 wrt c?\nAnswer: 24*a*c*k - 1200*a + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 97 = j, -196 = j - 3*j - 5*i. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 12 = 0, 0*u + 5*n = -u - 2. Let r(f) = 7*f**3 + f**2. Let b be r(1). Let d(z) = 7 + 6 - u - b*z. Let v(t) = -3*t. What is v(d(k))?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 + 3 + 5*f - 9 + 6 in the form n + v*f**2 + y*f and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (0\/(-1) - -2) + 3. Which is greater: 3\/61 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665\/(-70) + (-399)\/38?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9)*s\/(s*s\/s**(-11))*s*(s**(1\/4))**(-24) assuming s is positive.\nAnswer: s**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3517741664?\nAnswer: 2, 109929427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -136*d - 410. Calculate p(-6).\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5155 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7156 is divided by 2254.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1252 and 86408?\nAnswer: 27045704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -49. Solve -2 = u, 4*p - o = 3*u - 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:11 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 2\/5 (c) 6 (d) 2\/11 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 22 + 2 - 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4320.87 - 4087.8. Let x = j - 233. Let d = 0 - -2. What is the third biggest value in x, d, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94499\/108 - -875. Let w(q) be the third derivative of 0*q + 0 + v*q**4 - 1\/270*q**5 + 19*q**2 + 0*q**3. Suppose w(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*g - 47, 0 = 3*v - 10*g + 8*g - 109. What is the common denominator of 39\/v*13\/(-20) and 173\/660?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1649500 and 1750.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(300) - (sqrt(300) + 3*sqrt(300))) + sqrt(300))**2*2.\nAnswer: -9600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31477, -62768, -93867, -124774?\n\"Answer: 96*j**2 - 31579*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/4, -1, 1\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 186220 and 1750468.\nAnswer: 8752340","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1.26, 0.4, 2 in descending order.\nAnswer: 2, 0.4, -1.26, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5*(14 + (-340)\/25)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -50*w - 20. What are the prime factors of l(-6)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**2*t + 1379*p**2 - 3*p - 106*t wrt p?\nAnswer: -4*t + 2758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 144 = 3*n, 5*b - 7 + 279 = 3*n. Let z = b + 57. Let r(x) = -24 - 3*x + z + 3*x - x - x**2. Determine r(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16\/(-8) - -13 - (28 + -40335)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 3 + -3 + 1 + 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b**2*l**3 - 22*b**2*l**2 - 36625*b**2 + 3*b*l**3 + 2*b - 10483*l**3 wrt l.\nAnswer: 36*b**2 + 18*b - 62898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, -13, 1 in decreasing order.\nAnswer: 8, 5, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -47*u + 18. Let h(x) = -x**2 + 24. Give o(h(f)).\nAnswer: 47*f**2 - 1110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003388 rounded to 4 dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26869*g - 5*w - 25 = 26871*g, -w = 3*g + 31 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j - 4*o, 0 = -4*j - 0*o - 2*o - 2. Let k = j + 2. Calculate the least common multiple of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-4))\/(25 - 1224\/48). Let h(v) = -39*v + 2. Let q be h(2). What is the units digit of -412*(q\/(-16) + n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2176.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h + 7. Calculate l(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1)\/(z*z**(-2\/9)\/z)*(z\/(z\/z**(2\/15)))\/z**(1\/2)*(((z\/(z*(z\/((z*z**(-1\/3)*z*z)\/z*z))\/z))\/z)**11)**(16\/3) assuming z is positive.\nAnswer: z**(2899\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10609761 - -37197383. Let j be 2\/(4*(-3)\/167442864). Let p = z + j. Round p to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 34*m**3\/5 - 1092*m**2\/5 - 69504*m\/5 + 8192\/5 = 0.\nAnswer: -32, 2\/17, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 18*r - 15767. Let x = -32 + 57. Calculate the remainder when w(94) is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 21, 0 in ascending order.\nAnswer: -3, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 - -4.6. Let p = 10.9 - j. Let v = 9.1 - p. What is the second smallest value in v, -1.4, -4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 3:27 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 498770.\nAnswer: 5486470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3*g**2 - 138*f**3*g - 19*f**2*g - f - 93089*g**2 - g + 2 wrt g.\nAnswer: 2*f**3 - 186178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 4*o - 4*o)*(-175 + 42 + 730 - 105 + 474).\nAnswer: -4830*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1862 and 13984?\nAnswer: 685216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -380, -1473, -3294, -5843, -9120?\nAnswer: -13125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 334*k**5\/5 - 19*k**3\/6 + 33*k**2 - 2188*k. Find the second derivative of h(y) wrt y.\nAnswer: 8016*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5431*o - 1409*o + 1849*o - 4007*o.\nAnswer: -8998*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 34971783 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 -4*i + 3*r - 55 = -0*i, 3*r + 25 = -i. Let a be (-2)\/8 + 60\/i. Let u = a + 15. Calculate the highest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*o - 2 + (0 - 2 + 3)*(-o - 2*o + 0*o) - 3*o + o + 3*o + 82*o - 3 + 24*o - 41*o + 2 - 2 - 3*o.\nAnswer: 62*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234851048 divided by -1.\nAnswer: -234851048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2 - 17)*(1 - k**2 + 2*k**2 - 2).\nAnswer: -7*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -10, -2 in descending order.\nAnswer: -2, -10, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -86 + 169 - 81. Let s(q) = -q**2 + q. Calculate 2*s(o) + t(o).\nAnswer: -2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -503*r + 19493. What is m(39)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6582*d + 6424*d - 14174*d.\nAnswer: -1168*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -230143\/68 at most as big as -3385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-4 - (-28)\/4). Suppose d*v = v + 20. Let f be 8*1\/(-2) + v. Are -3\/17 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5526 and 1278.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 b when three letters picked without replacement from {g: 2, x: 1, z: 1, q: 3, b: 6, k: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110210022 + -111?\nAnswer: -110210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 1:21 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14329 divided by -37?\nAnswer: -14329\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6814, -1, -2, 2, -4, 19 in decreasing order.\nAnswer: 6814, 19, 3, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 771 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93972, 93985, 93998, 94011, 94024, 94037?\nAnswer: 94050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (702\/(-91))\/(((-1392)\/224)\/29).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 5 = -11*k. Suppose 2*a = -11 + 3. Is (-5)\/(k\/57) + a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*h**4 + 23 - 12 + 13 - 4*h**4 wrt h.\nAnswer: -108*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -12, 4*o + 0*o - x - 100 = 0. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6160*n**3*y + 2*n**3 + 3*n**2*y - 105*n - 52*y wrt n?\nAnswer: 36960*n*y + 12*n + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 19 - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1356 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 40, -9, -118, -299?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 2 - 2 + (1 + 0 + 0)*(-2 + f + 2) - 74277461 - 24964*f + 74277461.\nAnswer: -24962*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 169321 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {s: 3, g: 5, v: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5*w - 13 = 0, -w = 6*x - 4*x + 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402 (base 11) to base 7.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -15768650 to the nearest 10000.\nAnswer: -15770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let d = -0.139 + -11.061. Let x = d - -11. What is the nearest to u in x, 2, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (-1)\/(4\/(-420)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100011110111 + -11?\nAnswer: -111100011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -282347 (base 9) to base 10.\nAnswer: -172330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 45, -3.\nAnswer: -3, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -439*f*q**2*y + f*q*y - 6*f*y - 8*q**4 + 11*q**3*y - 4*q*y - 2578*y wrt q.\nAnswer: -878*f*y - 96*q**2 + 66*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) 0.1 (b) -507 (c) 1 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*139\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {w: 2, y: 2, d: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + -3 + 0 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 22*y**2 - 215*y - 11. Let r(z) = 10*z**2 - 106*z - 5. Give -13*r(c) + 6*w(c).\nAnswer: 2*c**2 + 88*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -11*k**3\/6 - 2*k**2 + 240*k. Suppose 0*l - 4*l = 16. Let y be i(l). What is the greatest common divisor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/16283 and -113\/290?\nAnswer: 4722070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 5*w - 3221*k + 3216*k, 4*w - 2*k = -18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + 1. Let h be (18\/54)\/(3\/1557). Let s = h - 134. What is the highest common divisor of s and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9237.114237 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -93. Let n = g - -47.4. Let i = n - 0.4. What is the third biggest value in i, 1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 = v. Let i = 11\/3 - v. Let a be (2\/20)\/(8\/(-32)). Which is greater: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 5*q**2 + 4*q - 3. Let p be s(4). Let o be ((-6)\/9 - 0\/p)*-3. Suppose -3*g + o*r + 1907 = 0, -3*g - 2*r + 1904 = -r. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v + 9. Let t(m) = 3*m + 10. What is 2*f(n) - 3*t(n)?\nAnswer: -n - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*v**2 - 156*v**2 - 567*v + 567*v + 82*v**2 + 14*v**3.\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - w**2 - 2*w - 1. Let x be d(-4). Suppose x*n - 57*n = -216. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*d**2 - 62*d**2 - 192*d**2 in the form l*d + q + i*d**2 and give i.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21272020 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/229 - 1844\/687. Which is smaller: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*i - 60*i + 12*i)*(-2*i**4 + 0*i**4 - 2*i**4 + (-2*i**3 - 3*i**2 + 3*i**2)*(-4*i + 4*i - 4*i)).\nAnswer: -400*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojcrd. Give prob of sequence odcr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06434 - 106.76566. Round l to the nearest integer.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -496290 + 753881. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-12)\/280*14\/(-4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.9 - 36362964.\nAnswer: -36362961.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -36600 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1776, -14358, -48558, -115200, -225108, -389106, -618018, -922668?\n\"Answer: -1804*o**3 + 15*o**2 + o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*m = -133*m - 133*m - 72 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -495, -129, 1519, 5103, 11277?\nAnswer: 20695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 4*k - 3. Let r be o(2). Differentiate 6*d**3 + r - 19 - 13*d**3 wrt d.\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2394134107?\nAnswer: 521, 991, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 4.310947\nAnswer: -4.710947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2268, -2252, -2210, -2130, -2000, -1808, -1542?\nAnswer: -1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9408 divided by -2\nAnswer: 4704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1323 divided by 7.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2640 - 972 = 0. List the prime factors of f.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3707.2319553 - 614474.3686647. Let s = f + 618176. Let u = -5.6 - s. Round u to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in 2\/7, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3779*k - 274*k + 1951*k = 536*k - 260760 for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2099*j + 26742*j - 22232*j**2 + 22231*j**2 in the form n*j**2 + b + d*j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/5, -1\/46, 5, 1, -17?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -164344 minus 0.110892?\nAnswer: -164344.110892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2654 = -16*y + 2531 - 1841. Calculate the remainder when 5431 is divided by y.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -9 - 3) + 6 + 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 22414, -0.5, 2, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 26*i - 64. Let n = 261 - 248. What are the prime factors of g(n)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 times -144?\nAnswer: 44928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5))**(-3\/37)*(k\/k**(-2))**(-35) assuming k is positive.\nAnswer: k**(-19419\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-30) + -58*9\/1836 - -1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, 86, 167, 280, 425?\n\"Answer: 16*w**2 + w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (228*l + 82*l + 217*l)*((-2*l + 3*l + l)*(0 + 3 - 4) + (l + l - l)*(-3 + 4 + 2)) to q*l + v*l**2 + h and give v.\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from bbxvbjj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 135374689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**5 + 1335*g**4*r + g**3 + g*r + r - 554 wrt g?\nAnswer: 80*g**3 + 16020*g**2*r + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -38*n**3 + 2*n + 1. Calculate a(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 8*24\/((-816)\/(-221))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0.2, -32, 11, -0.3, -0.1 in ascending order.\nAnswer: -32, -7, -0.3, -0.1, 0.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 - 21*p + 46)*(3*p**2 + 0*p**2 - p**2) + (-p + 0*p - p)*(-2*p**2 + p**2 - p**2).\nAnswer: -38*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.26784182 to 2 dps.\nAnswer: -15.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6458769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1488*v + 861 - 861 in the form l*v + a and give l.\nAnswer: 1488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.6682 and -1.\nAnswer: 3.6682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 627*t - 580*t - 4230. Solve 0 = 31*l - l - t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 25*f - 77. Let i be q(6). Let a be (i + -1)*(-12)\/(-168). Suppose -170\/7*u**4 + 0 + 72\/7*u**2 - 150\/7*u**5 + a*u**3 + 16\/7*u = 0. Calculate u.\nAnswer: -1, -2\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2915315, -5830630, -8745945, -11661260, -14576575, -17491890?\n\"Answer: -2915315*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3525 is divided by 196.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 1, i: 2, l: 3, o: 2, s: 6}. Give prob of sequence ivl.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671181?\nAnswer: 3, 7, 31, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.81 (b) -3\/8 (c) 0.0173 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (sqrt(117)*-1 - sqrt(117))*-1 + 4*sqrt(117)*5)\/((sqrt(144) + -4*(sqrt(144) - (sqrt(144) - 2*sqrt(144))))*3))**2.\nAnswer: 6877\/7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 17*p**4 + 2*p**3 - 2*p**2 + 9*p. Let g(r) = 17*r**4 + 3*r**3 - 3*r**2 + 9*r. Let q(w) = 2*g(w) - 3*y(w). What is the second derivative of q(b) wrt b?\nAnswer: -204*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 664295, 664248, 664201?\n\"Answer: -47*w + 664342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142 by 14.\nAnswer: 71\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 1088?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 10*l + 8. Let z be k(5). Suppose -z*n = -n - 1484. Suppose 0 = -y + v + n - 62, -v = 3*y - 434. What are the prime factors of y?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -80*x**5 + 2609*x**4\/4 + 9147*x**3\/4 - 72601*x**2\/4 - 66143*x\/4 - 735 = 0.\nAnswer: -5, -4\/5, -3\/64, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(((l*l**33\/l)\/l)\/l*l*l))\/l*l*l*l**33*l)**(-4\/3))**46 assuming l is positive.\nAnswer: l**(-184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 - 197*h**3 + 197*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5826.52152 rounded to the nearest one hundred?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -0.8. Let j = -108199\/270485 + 1\/54097. Let h = -0.2 - 0.3. Which is the fourth smallest value? (a) z (b) h (c) 4 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13180 and 53539796?\nAnswer: 2636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125 - 205. Let u = -57 - o. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14693076731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -195\/9997979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.468787 decades to millennia.\nAnswer: 0.02468787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -35 - ((-43 - -34) + -35)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 + -12716.53346?\nAnswer: -12602.53346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000013212142 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, -2, -4.\nAnswer: -156, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 19402*u**2 - 1911099*u + 1930500.\nAnswer: (u - 19500)*(u - 1)*(u + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 18 = -46. Is ((-2)\/d)\/((-5)\/(-40)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 107*((-6)\/1 - -7). Let b = -105 + h. Solve m - b = 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 33 + 5 + 14446*i**3 + 9.\nAnswer: 14446*i**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 41*b**3 + 296*b**2 + 40*b - 176. Determine y(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 48, 0.2, -1086?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5289121417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9dfa + 4?\nAnswer: -9df6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 505803197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/105779 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1148 + 0.2. Let m = -18719.6248 - -18727. Let j = n - m. Round j to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*-7*(21 + 26588\/(-1288))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8803.0347 - 4.\nAnswer: 8799.0347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 3*c + 65, 2*q - 6328 = 4*c - 6406 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212355 (base 6) in base 4?\nAnswer: 33221033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -13*l + 10. Solve -l = 2*p - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3654)\/8120*4\/6?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 - (25 - 15))*1*-13. Sort -5, 3, -8, m, 1 in ascending order.\nAnswer: -8, -5, 1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1047 is divided by 202?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 2*p**2 - 6*p - 4. Let t be ((-27)\/(-5))\/(39\/65). What are the prime factors of y(t)?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 834215 + 0.10242?\nAnswer: 834215.10242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**3 - 4*b**2 + 17*b - 5*b - 12*b.\nAnswer: 15*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**2 - 341*r + 4087. Calculate h(21).\nAnswer: -869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3000, -5929, -8702, -11241, -13468, -15305, -16674, -17497?\nAnswer: -17696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from kockkkkkqcqkckkkc.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 t when four letters picked without replacement from ttttttqqtttttqttqtt?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -143764 (b) 2\/7 (c) -0.2 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89350, 178697, 268044?\nAnswer: 357391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-8)*2*(11 - -1). Solve -4*m - d = -5*t + 15, -3*t = 3*m - 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*((sqrt(4800) - (-2 + -2*sqrt(4800))) + 2*(sqrt(4800) + 0)**2 + -3).\nAnswer: 1200*sqrt(3) + 95990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 567, -1?\nAnswer: 567","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/18 + 7\/9. Let l be (-2 - -1 - -6) + -1 + 1. Sort -3, l, j, 9 in ascending order.\nAnswer: -3, j, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 41*w**2 + 2*w + 1. Let x be j(-1). Let h be ((-5)\/(-2))\/((-4)\/x). Let y = 44 + h. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 211\/1680 and 19\/3124.\nAnswer: 1312080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 6:26 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12401.9*-5\nAnswer: -62009.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118839*d*f**6 + 137*d*f**2 + 2*d*f - 68*f**2 wrt f.\nAnswer: -14260680*d*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 362232392 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 797 - 792. Suppose -4*w + 15*p - 20*p + 5410 = 0, 6740 = a*w - 5*p. Is 27 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52166 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -506717 - -621?\nAnswer: -5060b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -46, 1\/18, -40?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-7 + -2) - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 4:57 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 2 + -1 + 5. Find the second derivative of -10*k - 4*k**2 + 0*k + 0*k**p - 4*k**2 wrt k.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 61. Let t(y) = -y**2 + 3*y + 4. Let b be t(3). Suppose -b*c + 6*v - v = -72, -5*v = -c + x. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8\/19, 1\/6, -111025?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 = 2*r, 4*r - 9 + 1 = 3*b. Let s(m) be the first derivative of -1\/6*m**4 + b*m + 0*m**5 + 0*m**2 + 0*m**3 - 11 + 1\/9*m**6. Factor s(a).\nAnswer: 2*a**3*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.27 - 1.669. Round w to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.5 - -16.6. What is the nearest to a in 3, 0.1, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 22. Solve 5*r - q = -14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((26\/182)\/((-250)\/105)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/7, -2\/13, 2\/11, 4.454?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 5. Let r = 9 + -13. What is h(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((5*(sqrt(7) + -2*sqrt(63)))**2 + 5) + ((0 + sqrt(343) + -2*sqrt(343) - sqrt(343))**2 - (-5*(sqrt(343) + 0) - sqrt(343))).\nAnswer: 42*sqrt(7) + 18892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 201002112221 (base 3) to base 7\nAnswer: 3123511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 7*c**4\/3 + 5*c**3\/3 - 3*c**2 - 5*c\/3 + 2\/3 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1693 - 1089. Let z = w + -189. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/3*(-40)\/32)\/((-35)\/(-238)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2932*3904\nAnswer: 11446528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15 - -6)\/3)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1654765*w**2 + 6941811*w wrt w?\nAnswer: -3309530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -20. Let v(h) = -294*h - 3080. Let y(c) = -616*p(c) + 4*v(c). Let n(j) = -2*j**2. Give y(n(b)).\nAnswer: 2352*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -18 + 10 + 5*n - 7*n. Let s be 26\/(-4) + (-3)\/(-6). Let q be p(s). Solve -3 = q*k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128176?\nAnswer: 2, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 + 10729*p\/3 + 1247060\/3.\nAnswer: -(p - 10844)*(p + 115)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*s - 50*s**4 + 5*s**3 + 2 + 25*s**4 + 17*s + 27*s**4 in the form n*s**2 + i + p*s**4 + h*s + r*s**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 14*a**2 - 154*a + 21. Calculate s(11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 14. Let c(k) = 3*k**2 + 4*k. Let f be c(p). Let h = 28 - 6. What is the highest common factor of f and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 6253.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.5? (a) -304 (b) -4781 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173 - -173. What is the closest to -2 in 39, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z - 18. Let t = 13 - z. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + 4)*(2 + -8). Are x and 9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12354636491 + -12354638463.9997461. Let m = a + 1973. What is m rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29*62.51.\nAnswer: -18.1279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 50 - 14 = 4*c, -3*c = -5*n + 13. Suppose -5*z - 13 + 5 = -o, o - 1 = -2*z. Let l = 8 - o. Calculate the greatest common factor of n and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.03 (c) -7 (d) -0.3 (e) -4 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02634 plus 4760.1?\nAnswer: 4760.12634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-5))\/(114\/(-1425)). Which is smaller: o or -290\/19?\nAnswer: -290\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6)\/(48\/(-792)). Let a(j) = j + 8. Determine a(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -13*g**3 + 6*g**2 - 15*g - 28. What are the prime factors of f(-7)?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 9. Suppose -2*g - w - 11 = -4*w, 19 = -r*g + 5*w. Let m(o) = -2*o + 1. Let l(q) = -1 + 9 - 5 - q - 2. What is g*m(y) + l(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*o**2 + 416*o**2 - 3*o + 3*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 307754 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*p**2 - p**3 + 81*p**2 + 71*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1047, -3, -0.8, 1\/3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y - 180 = 27*y. 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 nearest to 840.5 in -18, -4\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 18\/5*g + 1\/5*g**3 + 11\/5*g**2 + 0 = 0.\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/286101 and -61\/2988.\nAnswer: 1144404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 + 2 = 0. Suppose 0 = l + n*i - 9, 0 = 2*l + l - i - 11. Suppose 55 = -l*o + 9*o. Calculate the smallest common multiple of 9 and o.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from blgxqxl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {m: 12, v: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -950 - -3078. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 4*y + 6 + 16, 5 = t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238596 is divided by 67?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 161 + 41. Let p be 0\/5 - (-1 - 0). Let h be p - -1 - (-14 + 0). Calculate the highest common divisor of d and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142 - b - 249 + 272.\nAnswer: -b - 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -10 + 6 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37256692*w**2*x**2 - 19657*w**2 - w*x + 537*x wrt x.\nAnswer: 74513384*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -37*x - 11. Suppose 56 = -16*l - 40. Let t(w) = 10*w + 3. Let v(b) = l*n(b) - 22*t(b). Let c(o) = -10*o - 2. What is v(c(y))?\nAnswer: -20*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 0*o - o**2 - 2\/3*o**3 + 0 + 1\/24*o**4. Let q be k(8). Solve -q + 0 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221793 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4644*v - 35 + 4326*v - 3351*v + 35.\nAnswer: 5619*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 2, 5, -2\/7 in increasing order.\nAnswer: -2\/7, 2, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31.79 - 33.79. Which is the nearest to 2? (a) i (b) 0.4 (c) -5 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2 - 1483568*a + 1483570 = 0.\nAnswer: -741785, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -153, -150, -157, -180, -225, -298?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*a + 7 = 4*s - 2, 4*s + 988*a - 3 - 24 = 993*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - h**2 + 1. Let z(c) = -c**3 - 3*c + 1. Let g(r) = -2*u(r) - z(r). Let x be g(2). Let s = 33381 + -33383. What is the closest to x in 5, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134 - 116. Suppose -14*m + w*m = 8. Determine r so that 0*r**m + 2\/5*r**3 - 2\/5*r**4 + 0*r + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2844 - 5593 - 50351 + 2*z.\nAnswer: 2*z - 58788","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 5*k**2 - 2*k**2 - 3 + 3 + 3*k**2 + (-2*k - 2 + 2)*(2*k - 3*k + 2*k) - 3*k**2 - 2 + 2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 511799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z**(-2\/37)\/z))))**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/32)\/(1 - 11\/8). What is the second derivative of -l**n - 2*l - 11 + 5 - 10*l**3 - 7 - 9*l**3 wrt l?\nAnswer: -114*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39152814*d - 37380974.\nAnswer: 39152814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1662 (base 11) to base 13.\nAnswer: c76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 6*y**2 + 6*y - 9. Let p be u(-7). Find the common denominator of 189\/(-60) - p*1 and 127\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00283470454 rounded to five dps?\nAnswer: 0.00283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) 8 (c) -1\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 26*a - 13. Let x(r) = -8*r + 5. What is 2*c(v) + 7*x(v)?\nAnswer: -4*v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -3\/167, 2\/3 in increasing order.\nAnswer: -3\/167, 2\/3, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263741146 to the nearest integer?\nAnswer: 16240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - (2*sqrt(425) - sqrt(425))*3 - sqrt(425) - (sqrt(425) + -1 + sqrt(425) - sqrt(425))*5)**2.\nAnswer: -400*sqrt(17) + 27225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70392 - 20?\nAnswer: 70372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1967016 and 366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*o**3 - 141*o**3 + 49*o**3 + 63*o**3 + 11*o.\nAnswer: 2*o**3 + 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 487451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*w + 4*o - 4, 5*w + 3*o = 1. Sort w, 3, 1, -4 in descending order.\nAnswer: 3, w, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11398513, 45594041, 102586587, 182376151, 284962733, 410346333, 558526951?\n\"Answer: 11398509*z**2 + z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpgwpwgggpgpv. Give prob of picking 1 v and 1 w.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 2. Let u be d(3). Let g = u + 8. Solve -2*j - 8 = 0, -9 = -g*b + 5*j + 11 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -14. Which is the second smallest value? (a) 5 (b) d (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 14548 = -5*h. Suppose -694 = 3*b - h. Find the common denominator of b\/12*(-4)\/(-18) and 31\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75595.16 tonnes in nanograms?\nAnswer: 75595160000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (9 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 - 199. Let o = -50 - y. Is o smaller than 0.054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36428*i - 72815*i + 25*i**3 + 36387*i.\nAnswer: 25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/4*(-8)\/(-10). Let d(s) = -s**3 + 16*s**2 - s - 10. Let y be d(15). Calculate the remainder when y\/o - (-6)\/9 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5006?\nAnswer: 2, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 342 + 143?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26555702315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1159285, 1159252, 1159221, 1159192, 1159165, 1159140?\n\"Answer: c**2 - 36*c + 1159320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4590055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/(-6)*(1 + 17). Let c(k) = -k**3 - 15*k**2 - k - 26. Let t be c(-15). Let y = t - d. What is the greatest common factor of 51 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 3:01 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13300333 (base 5) to base 3\nAnswer: 20211110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = -9*m - 151. Let s = 14 - m. Let p = 60 - s. Solve -p*y + 14 = 3*q, -2*y - q + 7 = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/44)\/((10\/(-165)*3)\/(197\/394))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of (-26)\/(-22) - (-22)\/(-121) - (-2 - 8397)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 231633 = 3*a, -3*a = -51*u + 56*u - 231629. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, 2 in ascending order.\nAnswer: -14, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59805 - 33799. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 25528.\nAnswer: -25528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 210327668 to the power of 1\/2, to the nearest integer?\nAnswer: 14503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58342071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1.14. Let n = -8 + 7.86. Let v = n - y. Which is the third biggest value? (a) 2\/9 (b) v (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 464592 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**5\/90 - 157*h**4\/9 + 3338*h**2. Suppose o(v) = 0. Calculate v.\nAnswer: 0, 628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26038857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*n + 16, -2*k + 6 = 4*n - 3*n. Let q(t) = t**3 - 7*t**2 - 8*t + 5. Let z be q(8). Put z, k, 24 in ascending order.\nAnswer: k, z, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 9*k**2 - 7. Let y(j) be the first derivative of -j**4\/2 + 19*j**3\/3 + 15*j + 2. Let x(i) = 13*n(i) + 6*y(i). Does 9 divide x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364008022 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, a: 9}. Give prob of sequence au.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1148*t**2 + 302*t**2 + 976*t**2 - 529*t**2 as s*t + x*t**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*2)\/(8\/20). Let r be 66\/44 + n\/(-2). Which is smaller: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36.3 + 9.7. Let f = n + -45.9. Sort -2, f, 12.\nAnswer: -2, f, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 + 124332888*b\/13 - 1932333379802568\/13.\nAnswer: -2*(b - 31083222)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:48 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-6\/11)*t)\/(t**(5\/4)*t*t) assuming t is positive.\nAnswer: t**(-35\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(((-180)\/(-420))\/(4\/28*-4)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11832 divided by 163?\nAnswer: -11832\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 10*h + 5. Let l be j(11). What is the greatest common factor of l and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 6*y + 1. Suppose -5 = 284*c - 283*c - 2*a, 4*c + 5*a - 45 = 0. Calculate t(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3063.9702+-6\nAnswer: -3069.9702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 11\/2*z - 1\/2*z**2 + 0 = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 - f**2 + 27*f - f**2 - 21*f + 2*f**2.\nAnswer: f**3 + 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22302 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 276309871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b4 (base 14) to base 10.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2 = -5*a + 2*a, -2*m = a - 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2201334808 to the nearest one million.\nAnswer: 2201000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8596 (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) 2\/11 (c) -0.4 (d) 16\/127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.040507 + -3681\nAnswer: -3680.959493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 10.8. Let i = -44 - -44.9. Let y = q - i. Which is smaller: y or 2\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42476004 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(2048)\/sqrt(8)).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvxxvvvvxvv. Give prob of sequence xxxv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3990, -3987, -3982, -3975, -3966?\n\"Answer: j**2 - 3991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 152 - 8 + 1 = -5*s, 0 = 3*s - 5*h - 94 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -258.52 - -255.52. Sort u, -5, 8\/7, -0.8.\nAnswer: -5, u, -0.8, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**3\/3 + 124*o. Let c(g) = 3*g - 13*g + 0*g. What is c(p(n))?\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 - 1 = -3*f, -a + 5*f = 17. Suppose 5*w = 5*t, -3*w + 24 = -0*w + 3*t. What is the least common multiple of a and 16\/10 - w\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -13*a**5\/140 + 629*a**4\/28 - 145*a**3\/21 + 4095*a. Factor i(f).\nAnswer: -f*(f - 145)*(13*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-2*2)\/(22\/(-99)*-63).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 - 2*j + 2. Suppose 5*w + 13 = -7. Does 5 divide v(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -450135 (base 11) in base 5?\nAnswer: -140430233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 - 90. Suppose 4*j = c*p + 1154, -5*j - p = -5*p - 1441. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 23 = h. What is the second derivative of -7*u - 5*u**5 + 0*u**5 + h + u**5 + 10*u**3 + 9*u wrt u?\nAnswer: -80*u**3 + 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 0.9, 48, -1\/3, 5.\nAnswer: -4\/3, -1\/3, 0.9, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 1. Let y(s) be the first derivative of 2*s**3\/3 + 2*s**2 - s + 6. Let j(c) = -5*h(c) - y(c). List the prime factors of j(-4).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 65043 = i + 65069, 4*i + q = 2*q + 2 - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10012 and 228?\nAnswer: 570684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 501, 1123, 1993?\nAnswer: 3111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3131 - 1998*r - 3129 + 1923*r.\nAnswer: -75*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15, -1, -0.3, 3\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.303816 to one decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1065.1 - -1128. Let i = 63 - a. Are i and 0.02 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2\/57, -320, -0.5, 51\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-8) - 0) + (9 - 10). Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 463069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 5:43 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298693 is divided by 851?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + q + 4*g - 12, 0 = -2*q - 4*g + 6. Suppose -q - 12 = -3*m. Let p be -3 + 6*(-114)\/(-18). What is the highest common factor of p and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31e39 (base 16) to base 10\nAnswer: 204345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 2537 = 973. Calculate the highest common divisor of l and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 4*sqrt(704)*1)**2 - (sqrt(704) + sqrt(704) + (sqrt(704) - (-1 + sqrt(704))*6))**2)*-4.\nAnswer: -44912 - 1152*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 6*l + 87889, 139*k - 137*k = 4*l + 35130. Is 134 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 7. Suppose j - 120 = -y*j. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 46*a - 93. Let k be o(2). Solve 11*g = -k - 30 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*r - 10. Factor -r*y**4 + 4*y**3 + 1687*y**2 - 1687*y**2.\nAnswer: -2*y**3*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k + 3. Calculate i(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*t - 438 = 6*t, t = 5*a - 540. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 145316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1add (base 14) to base 10.\nAnswer: 4899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 254*q**3 + 11*q**2 - 17*q - 9. Is v(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l. Let o be (1 - 1)*4\/(-3 - 1). Let k(f) = -16*f**2 - 8*f**2 + o*f**2. What is k(u(s))?\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 38, 35, 40, 59?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*m + 0*m = 3735008, -2987996 = -4*o - 2*m. What is o rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -228*c**2. Let p(u) = -445*u. Calculate p(a(k)).\nAnswer: 101460*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q - 4. Let l be s(-2). Let n(z) = -z**2 + 10*z + 11. List the prime factors of n(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 36. Solve -7 = 2*y + d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -2*q + 9 - 30, 4*q - 28 = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 112675 = 4*p, -13*w - 112651 = 4*p - 10*w. Let m = p + 46991. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157784747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 10:48 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -1. Suppose 5*l = -2*o + 18, 12 = l + 3*o - 2. Let a = l - k. Solve -a*r = 4*y + 36, 2*r - y = 4*r + 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -w + 4*d, w - 3*d - 10 = -5*d. Solve w = 6*p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Let h be 3\/(-2)*(280\/90)\/14. Put 4, h, u in ascending order.\nAnswer: h, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -13*x + 15. Let c(a) = 14*a - 16. Calculate 5*c(k) + 6*v(k).\nAnswer: -8*k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/4 + 143\/44. Let k be (q\/4 - 6)*-1. Suppose -155 = -k*p + 330. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*i**6*p + 69242*i**4*p - 4746*i**2*p + 20*i**2 wrt i?\nAnswer: 1200*i**3*p + 1661808*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*j - 7, -2*j = i - 2*i - 6. Let c be (i\/15)\/((-4)\/(-3)). Suppose -c*h**5 + 0 + 2\/5*h**2 + 0*h**3 - 2\/5*h**4 + 1\/5*h = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**4*l**2 - 4*g**3*l**2*o - 4*g**2*l**2*o - 2*g**2*l**2 - 30*g**2 wrt g.\nAnswer: -48*g*l**2 - 24*l**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 3, 609, 864, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 8:46 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/98666 and 59\/50?\nAnswer: 2466650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3981148 to the nearest integer?\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010100011001 - -101?\nAnswer: -111010100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -34921364 divided by -13?\nAnswer: 34921364\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.031 - 0.03073. Round y to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 14*n**2 - 20*n + 15. Determine r(15).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-2) - 2 - -52. Let g = r + -3. Does 27 divide g - -2 - (1 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 468 and 19890?\nAnswer: 39780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104951 and 658.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41.8 + -41.5. What is the closest to 0 in -4, 0.5, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -421\/8. Let x = -491 - -490.7. Which is the smallest value? (a) -5 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -1, -126 in ascending order.\nAnswer: -126, -51, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z - 6. Let m be t(7). Suppose 0*r + 5*r + 3*p - m = 0, -2*r = -p. What is the greatest common factor of 10 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 172*r**3 - r**2 - r. Give m(-1).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 203*v**2 - 22*v - 8. What is the hundreds digit of s(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -2*v + 4*q, 0*v - 5*v - 117 = q. Let k = -2 - v. Let a = 93 - 10. What is the remainder when a is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7453, -14724, -21995, -29266, -36537?\n\"Answer: -7271*d - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**4\/4 + 3*j**3 - 5*j**2 + 9*j - 1. What is the units digit of o(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**4\/24 + 5*i**3\/2 + 5*i**2. Let m be h(11). Let -2*j**4 - 3*j**3 + 3*j**2 + 3*j + j**m + j**4 - 3*j**4 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68157.13 milligrams to kilograms.\nAnswer: 0.06815713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**5\/20 - d**4\/4 - d**3\/3 + d**2 - 10*d. Let z = -10 - -8. Let f be w(z). Solve 0 = -5*q + f - 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/62 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41, -214, -517, -950, -1513?\n\"Answer: -65*u**2 + 22*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 4. Let j = 0.66 + -0.36. Let w(d) = -d + 2. Let r be w(4). Which is the nearest to -0.1? (a) r (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21210102 + 1?\nAnswer: 21210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 65 + 5 = 0. What is the remainder when i is divided by 48\/20 + 2\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 799, 3077, 6837, 12079, 18803, 27009, 36697?\n\"Answer: 741*c**2 + 55*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 4:15 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15302 - -23?\nAnswer: -15279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -2 - ((50 - -49) + -74)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n + 676 - 193 = 0. What is the tens digit of (26 - n) + 1 + 1022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 + -1 + -6 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -899440*s - 684 = -899478*s for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s - 40157 + 2*s + 0*s + 5*s.\nAnswer: -3*s - 40157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = 8. Suppose 0*l = 3*l + z*r - 158, 5*r = -4*l + 209. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73307 is divided by 298?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34506 (base 12) in base 13?\nAnswer: 25a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2849 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/516?\nAnswer: -1\/516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7582108158 and 0.0182.\nAnswer: 7582108158.0182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v - 4 = 0. Suppose v*j = -4, -48 = -8*c + 3*c - 2*j. Suppose 4*w + 30 = c*w. Solve -b + 19 = w*n, -3*b + 9 = n - 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 32 = 7*i. Let d be (-3)\/(2 - (-65)\/(-34)). Let q = -19 - d. What is the remainder when q is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27106*p**2*t - 7*p**2 + 1689 with respect to t.\nAnswer: -27106*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrsm when four letters picked without replacement from {m: 2, s: 7, r: 6}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**5 - 6*c**4 + 10*c**3 + 30*c**2 - 8*c - 24 = 0.\nAnswer: -3, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37210 and 4880.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91247 - 51722. Does 255 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-5))\/(o*o\/o**(4\/9)))\/((o**(9\/8)*o*o)\/(o\/((o*o**(3\/11))\/o)*o*o)) assuming o is positive.\nAnswer: o**(3205\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*j = -145*j - 39. Suppose -17*d + 21480 = j*d. What are the prime factors of d?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22222 + 12339. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9*0.68\nAnswer: 1.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 3*v**2 + 30 - 29 - v**3 - v. Let c(j) = -5*j**3 + 6*j**2 - 5*j + 2. Let t(i) = -c(i) + 4*p(i). Let m be (3\/2)\/((-6)\/(-8)). Calculate t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 12. Let x be z(8). Suppose -5 + 7 = a - 3*n, -x*n = 5*a - 48. What is the least common multiple of a and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 5*m - 5, -4*d - 20 = -7*m - 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2182 + 8013. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.7 (b) -3912 (c) 1 (d) -1 (e) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 103419800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/98514 and 12\/3700169.\nAnswer: 865839546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 23 - 37. Suppose -u - 1 = -4. Let x be -4*2*u\/m. Solve -2*y + 5*y = -4*h - 16, 3*y + x*h = -14 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to -25656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 + 7*b + 8. Suppose -q + 3*q = 14. Let n be l(q). Let g = n - -63. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.1 - 2.1. Let q = 2 - 2.2. What is the second smallest value in 1, 0.3, z, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28649280 and 3581160?\nAnswer: 28649280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 = 29. Let a be 12\/z*(-9)\/6. Suppose -a*d = -2*s + 34, -3*d + 7 = 2*s - 32. What is the greatest common divisor of 12 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/13 + 1172388*n\/13 - 7034256\/13.\nAnswer: -2*(n - 586188)*(n - 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 159*u + 1924. Determine t(14).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 3:40 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/15*33\/(-44)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -0.3 (b) -1 (c) 0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**2 - 331244*a - 62462232 = 0. What is a?\nAnswer: -82622, -189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 229 - 2920 = 3*n, 2*d = -n + 1253. Suppose d - 601 = 9*o. Solve -v - 5*p + 4 + 4 = 0, -o*p = 5*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/5? (a) 0.5 (b) -2 (c) 1\/88 (d) -18 (e) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 62.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h = 0. Suppose -2*t = 4*g - 24, h = 4*t - 2*t + 3*g - 19. Calculate the greatest common divisor of 3 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*i - 5 = 0, -3*y = -y - 4*i - 22. Suppose -5*u + y = 0, -2*z + 4*u - 264 = 2*z. Let s = -39 - z. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 3*p**2 - 2*p**2)*(2 - 407755*p + 407883*p - 10) + 3*p**3 + 0*p**3 - 5*p**3.\nAnswer: 126*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -11 - (14 + (35 - 48)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14383 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a century?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 17 = 2*q - 7, -6 = -l + 4*q. Let a(u) = u - 1. Let d(g) be the second derivative of 4*g**3\/3 - 5*g**2 + 232*g. Calculate l*a(h) - 2*d(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004338407 to 5 decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 77. Let x = -16 - n. Let j = -15.2 + x. Which is the nearest to 2\/7? (a) j (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 4*s + 20. Let z(c) = -6*c**2 - 12*c + 59. Let y(g) = -11*j(g) + 4*z(g). What is a in y(a) = 0?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/(((-98)\/(-35))\/7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2591 = 3*i - 4*l - 911, -4*i + 2*l = -4676. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y + 1. Suppose -w + 4*d + 1 = 3*d, 4*d - 17 = -y*w. Calculate the highest common factor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 342345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 148169 and 2196.\nAnswer: 5334084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -k + 9*k. What is s in -6*s**k + 10*s**4 - 7*s**4 - 75*s**2 + 21*s**2 - 33*s**3 = 0?\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.61 - 6.8. Let v = j + -0.91. Let k be -3*(-1 + 21\/9). What is the nearest to v in 2, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2069187 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -17 - (1 - -5) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101752?\nAnswer: 2, 7, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 1662420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.86156 times -183\nAnswer: -157.66548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.238 - 0.162. What is the nearest to 2 in 9, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqtsftttfqfq. Give prob of picking 2 f and 1 s.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4046 and 0.559481619.\nAnswer: -4045.440518381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4447*w + 22 = 2224*w + 2225*w - m, 2*m - 26 = -3*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -236.\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 28575*v**2 - 153*v. Let p(b) = 376*b**2 - 2*b. Give -459*p(y) + 6*u(y).\nAnswer: -1134*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7*(60\/5)\/252*-66\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 = -i, -3*d = -4*i + 4 - 1. Let r be i*(-2)\/(-1 + -1). Suppose -5*t + 630 = -r*t. What is the greatest common factor of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/2)\/1)\/(12\/(-16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (-38 + 21 - -20).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 25 = -4*s - 178, 4*j = -4*s - 248. Let r = -28 - s. Let d = r + -17. 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 -o + 13 = -2*h, 0*o = -2*h - 4*o + 12. Let s be (-2)\/h + (-253)\/(-22). Suppose 6*g - 3*g = 0. Solve g = 4*d - s - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**2\/q)**19)**(-1\/57))**(-3\/7) assuming q is positive.\nAnswer: q**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1591 is divided by 123\/2 - 1899\/(-422)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3072 + -1441. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 11271, 5, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 216, 419, 632, 861, 1112, 1391, 1704, 2057?\n\"Answer: b**3 - b**2 + 199*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43478 + -43476. Let a = 1\/10 + -4\/15. Sort a, k, -0.5, -19\/5 in descending order.\nAnswer: k, a, -0.5, -19\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8199751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 56*o**2 + 238*o - 2. Is p(-37) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 15, s: 4}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*d = -3724 - 5039 + 1707 for d.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*p = -10, 4*p + 6 = 286*t - 291*t. Let a = -8 - -6. Sort t, a, -9 in decreasing order.\nAnswer: t, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/75 and -69\/100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164, 96, 32, -28, -84, -136?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 570 - 339. Let l = 0 + -24. Let n = 45 + l. What is the highest common factor of w and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(1 + 9\/(-12)). Let y = -1.348 - -3.748. Which is the fourth biggest value? (a) r (b) -4 (c) -1\/2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 3*n + 78*n + 87 - 87 + (4 - 3 + 0)*(n - 2 + 2) to h*n + v and give h.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 682, 912, 1296, 1834?\n\"Answer: 77*x**2 - x + 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 7) in base 11?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - -0.29. What is the second smallest value in 5, 8, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2150210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-24)*4*(-9)\/264*-12.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6211 - -6222) + (-78 - 2) + -1.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 - 10*f**4 + 2*f**2 - 5*f - 16*f**4 - 2*f + 5*f - 6*f to the form u*f + k*f**4 + a*f**2 + g + i*f**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 304163835?\nAnswer: 304163840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/3*(-6)\/1. Solve 4*m + z = -0*m - 7, 4*m = -2*z - f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*c + 59*c + 6 = 0. Let t(q) = 4*q**2 + 8*q - 10. Let m be t(c). Sort -2, m, 8 in descending order.\nAnswer: 8, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34839 is divided by 37.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5116*j - 439. Is s(71) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 9*t**2 + 10*t - 9. What is h(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 463471 and 136315.\nAnswer: 2317355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5439 + -10439. Round h to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 647 = 3*s, -823 = -5*j - s - 0*s. Let b = j - 61. Find the first derivative of 72 + 14*v**2 + b - 145 wrt v.\nAnswer: 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 5*s - 80, -4*o - 5*s = -8*s - 160. Solve 4*y + 32 = o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 12.2. What is the third biggest value in 3\/8, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18461 - 19581 = 6*f + 22*f for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -311 at least as big as -311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, u: 4, a: 2}. Give prob of picking 2 a.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 181231387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 4*d + 4*d)*((2 - d**3 - 2)*(2*d + 2 - 2) + 2*d**3 - 2*d**3 + d**4 + 8*d**4 + 127 - 127).\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 613, -7, -8, -4 in decreasing order.\nAnswer: 613, -4, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) -1\/3 (c) -4\/17 (d) 1\/2 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 6 + 5*p + 14 + 0*p**3 - 5*p**3 + 6.\nAnswer: -5*p**3 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.6 - -31.4. Is z greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 3. Let o be b(4). Let r be o + 1 + 2*2. Suppose 0 = -q + r + 19. What is the remainder when q is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43650504 is divided by 11490?\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1123 - -880\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 8. Let l(b) = 12 - 10 - 3. Calculate d(j) - 6*l(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1445901 - 2?\nAnswer: -1445903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**4\/24 - d**3\/6 - d**2. Let q be o(4). Suppose 31 = q*c + u + 4*u, -23 = c - 5*u. Solve -2 + 12 = c*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**6)**(-2\/41)*w\/(w\/w**(1\/6)*w)*w*w*w**(-1\/23)*w assuming w is positive.\nAnswer: w**(13393\/5658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**6\/10 + 9*f**5\/10 + f**4\/4 - 12*f**3 + 24*f**2 + 1576*f. Find m such that x(m) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/5 (b) -0.3 (c) 3\/2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103 and 16686?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 2) + (-3 + -1 - 14 - 20)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1 + 5 = 0. Suppose n = w*n. Factor n*b + 0 - 2\/5*b**2 - 6\/5*b**3.\nAnswer: -2*b**2*(3*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2962 - -2961.7. Which is the third biggest value? (a) 409 (b) 0.3 (c) o (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1867816 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1))**(-45)\/(c**(1\/4)\/c**(4\/15)))**44 assuming c is positive.\nAnswer: c**(-59389\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -37*d**7\/7 - 9*d**3 - 3*d**2\/2 + 505*d. Find the second derivative of u(f) wrt f.\nAnswer: -4440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12.5 and -4.7168?\nAnswer: 7.7832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32846031581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 - 93 + 192 - 17*u + 19*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**3 + c**2 - 3*c - 149. Let z(k) = k**3 + 3*k**2 - k - 3. Give p(o) - 3*z(o).\nAnswer: o**3 - 8*o**2 - 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, -5, -2, -25, 2 in increasing order.\nAnswer: -25, -8, -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20322 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (66003\/(-2694))\/(14\/32)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2. Let s(f) be the third derivative of 0*f**3 + 7*f**2 - 1\/60*f**5 + 0*f**4 + 0 + 0*f. Give k(s(w)).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 172358758 - -2?\nAnswer: 172358760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*n - 21. Suppose 19 = 4*c - 7*c - 5*h, 0 = -3*c + h - n. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-3)\/(-9) + 3. Let t = 37.44 + -0.44. Let g = t - 37. Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 202247177*z - 202247177*z - 35*z**2 to y + o*z + v*z**2 and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.49 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.142 - -1.642. Sort 3, -65, u, 0.1 in decreasing order.\nAnswer: 3, u, 0.1, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233129453 to the nearest integer?\nAnswer: 15269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 237224 and 1037855?\nAnswer: 8302840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5886, 44880, 150724, 356844, 696666?\nAnswer: 1203616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 3, -28, -59?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(-2\/3)\/l))\/l)**(-17)\/(l\/(l\/l**(-1)))**38)\/((l**(-2\/3)\/(l*(l\/l**(2\/7))\/l))\/(l*l*l**(1\/4)*l*((l**(-1)\/l*l*l)\/l)\/l)) assuming l is positive.\nAnswer: l**(1033\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 divided by -37840.\nAnswer: 117\/37840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1992619659?\nAnswer: 3, 1549, 428797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/12)\/4*(-45)\/570*-1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -196*c**2\/3 - 53444608*c\/3 - 3643273117696\/3 = 0. Calculate c.\nAnswer: -954368\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 387\/2*y**2 + 54 - 168*y + 45\/2*y**4 - 201\/2*y**3 - 3\/2*y**5 = 0. Calculate y.\nAnswer: 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 37\/7 + 30\/(-105). Suppose 2*o - 4 = -s - s, 16 = g*s + 3*o. Suppose 3*r - 1 - s = -4*m, -8 = 4*r. Solve 4*p - 10 = -4*q - 2, 5*q - m*p = 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -16003970*k**2 - 16003962*k + 8 = 0?\nAnswer: -1, 4\/8001985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2\/3*p + 0 + 5\/3*p**4 - 1\/3*p**3 - 5\/3*p**2 + p**5 = 0?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(44) - sqrt(396)))\/sqrt(4).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 6. Let v be f(-9). Suppose -v*g + 5*g = 8. Factor -j**2 + 11*j**2 + 1 + 5*j**g + 3*j + 2*j + j**5 + 10*j**3.\nAnswer: (j + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1776989 to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 4 + 9 - 14)*(-1473*q**3 + 834*q**3 - 1268*q**3).\nAnswer: -7628*q**4 + 1907*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85391?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 263455*o**2 + 790330*o + 526880.\nAnswer: 5*(o + 1)*(o + 2)*(o + 52688)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 4 = -9*m - 24. Suppose -3*d = -2*d + 69. Let j be d\/153 + (-2)\/(-6). What is the nearest to 2\/7 in -1\/3, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five quarters of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 42 = -0*r. Let w(q) = -q**2 - 7*q + 1. Let i be w(r). Let s(x) = -x**3 + 8*x**2 - 8*x + 9. Let j be s(7). Solve -j = 3*m + i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*n + 5*u, u = -5*n + 6*u + 10. Let o be (-1)\/3*n - -4. Find the second derivative of -8*d**4 + 7*d + o*d + 1 - 1 wrt d.\nAnswer: -96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*(sqrt(132) - sqrt(132)*-2*4)*-4)\/(2*-2*sqrt(1200)*3*2).\nAnswer: -18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197113*c**3 - 3*c**2*i - 49221*c + 6*i wrt c.\nAnswer: -1182678*c - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 10*u + 5. Let r be o(-11). Let s = r + 11. Suppose 4*t - s*m = 22, -5*t + 3*t + 14 = -4*m. Solve 4*f + 35 = 3*w + 2*w, 0 = t*w + f - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**2 + 401216*w + 802416 = 0?\nAnswer: -100302, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 423172271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2508)\/(-342))\/(4\/(-18))*1\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 2. Let z be t(2). Suppose 5*p - 4*l + 9 = 0, z = 2*p - 0*l - 5*l - 10. Let f = -133725 - -133725.7. What is the closest to f in p, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/(1\/((-8)\/(-8)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*v + 14, -m - v = -6*m + 62. Is m not equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-22)\/t*t**8)\/((t*t\/t**(2\/11))\/(t\/t**(-7))) assuming t is positive.\nAnswer: t**(-97\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23327594.\nAnswer: 2, 79, 191, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (380 - 385)*(-1 - 1). Let b = 0 - 1. Let w be 0*(b + 4\/2). Solve 0 = 5*t - w - j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1359.99331 - 1360. What is v rounded to 4 dps?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3690180705.\nAnswer: 3, 5, 246012047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0328 less than -195?\nAnswer: -194.9672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 19*o. Let d(n) = 18*n. Let w(f) = -4*d(f) + 3*l(f). Let z(a) = 291*a - 3*a - 308*a. What is z(w(k))?\nAnswer: 300*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - -155. What is the remainder when c\/9 - 6\/(-27) is divided by 72\/10 + 7\/(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**14*i**4\/i*i*(i*i**19)\/(i*i*i**(-9\/5)))**(4\/15) assuming i is positive.\nAnswer: i**(252\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*1*4 + 1*sqrt(228)*6)\/(-3*(3*sqrt(1728) + sqrt(1728)) + sqrt(1728)).\nAnswer: -5*sqrt(19)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645*c + 649*c = 53468. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12092.6 - 14184. Round w to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*c + 243\/2 + 3\/2*c**2.\nAnswer: 3*(c - 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20122100111 (base 3) in base 7?\nAnswer: 1053121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3) + 17\/(-3). Let b = z - -7. Let i = -37 - -40. Put b, 1, i in ascending order.\nAnswer: 1, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5954\/7 - -854. Calculate the common denominator of q and -21\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**8)**7*a**(-15)\/(a**(-18)*a) assuming a is positive.\nAnswer: a**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.047.\nAnswer: 0.0188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -219764.9 + 219765. Let f = -4 + 7. What is the nearest to l in f, 0.12, -1\/5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8b2 + 1?\nAnswer: 8b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 1\/1150, -0.5, -3, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -36. Suppose 0*l + 4*l - t = 0. Let p be (-26)\/(-12) + ((-170)\/60)\/17. Which is the third smallest value? (a) 0.2 (b) p (c) l (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 22*i**2. Let v(x) = 3*x - 2. Let l(n) = -16*n + 11. Let a(w) = 2*l(w) + 11*v(w). Determine d(a(m)).\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -12*s - 4. Let l(k) = -k. Let v(n) = -i(n) + 3*l(n). Let b(z) = 5*z + 2. What is 11*b(j) - 6*v(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4 = 7*k - k - 16*u, 3*k - 247*u - 4 + 15 = -243*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.084, 58\/7, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 6*v + 13. Let h be (10\/4 + (-78)\/39)*12. Give o(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/352)\/(18\/16)*90\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*o + 4 = 0. Let l = -4 + 13. Let h be ((-3)\/l)\/(2\/(-12)). Solve h*s - b = -o + 3, 13 = 5*s + b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279437147?\nAnswer: 11, 53, 479309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - 178.191041065.\nAnswer: -178.121041065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 352133591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 d, and 1 i when four letters picked without replacement from {d: 2, i: 6, q: 8, n: 3}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 1. Let q(d) = -92*d + 4. Let a(g) = -q(g) - 4*w(g). Let t(c) = 10618 - c + 5*c - 10*c - 10618 + 5*c. Determine a(t(z)).\nAnswer: -96*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -701\/3 (c) 1\/4 (d) 2\/73 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28365 is divided by 83?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -227387, -227418, -227501, -227660, -227919, -228302, -228833, -229536?\nAnswer: -230435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdscpfrcfcpcrcppcscr. Give prob of picking 1 c and 2 p.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -291.9757 + -0.0243. Let f = 291.9 + x. Let t = 0.3 + -0.2. Which is the closest to f? (a) t (b) -0.01 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-405) + 21111960\/959850?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Sort 3, -5, f in decreasing order.\nAnswer: f, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p**2 - p + 364?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1374 + -6871\/5. What is the fourth biggest value in 13\/2, b, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46.359 + 7.359. Which is the smallest value? (a) 12 (b) s (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + 11. Suppose p + 35 = 5*z, -5*p - 36 = 5*z + 79. Let t = r - p. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7)*2\/((-4)\/(-2))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.432 * -964\nAnswer: -416.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from oococ?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7089?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -3\/2 (c) 18 (d) -660 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -134 times -1\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + q - 2. Let t(w) = -8*w**2 + 3*w - 10. Let o(c) = 5*h(c) - t(c). Find the second derivative of o(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 9*p**2\/2 + 1. Suppose 7 - 12 = -t. Let d(x) = 9*x + 0*x - t*x. Determine 5*d(c) - 2*v(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Let d(z) = 4*z**3 - j*z**3 + 7*z + z**3 - 4*z**3 - 3 + 4*z**2. Suppose 4*v - 8 = 12. Give d(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1)*17085\/(-1005)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -0.4 (c) -5 (d) 22 (e) -599\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1263*u - 590*u + 931*u + 360*u in the form k*u + a and give k.\nAnswer: 1964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 33. Let q(x) = -32*x - 13. Let l be q(n). Suppose -5*r + 202 = -l. Calculate the remainder when r is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.098? (a) -0.4 (b) -148 (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (2 - -7) - (7 - 7 - -8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, -49, 5\/4, 23\/5.\nAnswer: -49, 5\/4, 23\/5, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101 + 1001?\nAnswer: 110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 942 - 667. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -3, -194, 51?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24128 and 4032.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3*(sqrt(1584) + 2) - (-2 + sqrt(1584)*-2)))**2*-1.\nAnswer: -14400 - 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 28*n - 7*n + 648 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000412370854 rounded to 6 decimal places?\nAnswer: 0.000412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nanx when four letters picked without replacement from nqaxnxx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -582, 6, -2, 5, -5.\nAnswer: -582, -5, -2, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17487 is divided by 3805?\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45262 - -3?\nAnswer: 45265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a factor of 16214570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8554*j**3 - 98*j**2 - j + 3096626.\nAnswer: -25662*j**2 - 196*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/34, 2.216, 2\/9, -2\/15, 9 in decreasing order.\nAnswer: 9, 2.216, 2\/9, 3\/34, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 570848 and -4?\nAnswer: 570852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 15\/6)*7224\/(-14).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-159579)\/2235 - 558\/(-9)\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/69 and 115\/78.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from vdddvdddvddxddx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**7\/420 - n**6\/300 - 3*n**5\/40 - 23*n**4\/120 - n**3\/6 - 2*n + 45. Let g(l) = 0. Calculate l.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5 + 32*h**4 - 8*h**3 - 64*h**2 + 4*h + 32 = 0. What is h?\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -5*v**2 + 1\/12*v**4 + 0*v + 1\/144*v**6 + 0*v**5 + 0 + 0*v**3. Let q(y) be the second derivative of f(y). Determine q(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -156 - -174. Let v be (-1 + 0 + -18)\/(-1). Suppose 4*l + 2*h - 18 = 0, 1 = 4*l + 4*h - v. What is the remainder when r is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, -18, -33, -46, -57?\n\"Answer: b**2 - 20*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7136 * -185.\nAnswer: -1320160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 17*n**2 + 13*n + 8. Let a be t(-18). Suppose -100*r = -a*r. Solve r = -2*x + 39 - 43 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4856176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*n + 543, 285*n - 531 = 282*n - 3*o. Calculate the highest common factor of n and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 1:18 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11527399.\nAnswer: 13, 499, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34350, -34349, -34348, -34347, -34346?\nAnswer: -34345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 772, 1533, 2292, 3049, 3804, 4557, 5308?\nAnswer: 6057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58109211 is divided by 1042?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 1\/3*l**3 - 1\/3*l + 1\/3*l**2 - 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -692\/79?\nAnswer: -692\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 8) in base 6?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51572 or 0.0231?\nAnswer: -51572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1027\/7 - 147. Suppose 0 = 2*k + 4*k - 30. Which is the second smallest value? (a) p (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**3 + r + 1. Let x be n(-1). Let i(u) be the first derivative of -3*u**2\/2 + 5*u + 1. Give i(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**8\/55440 - f**7\/9240 + f**6\/3960 - 3*f**5\/20 + 6*f**2. Let s(h) be the third derivative of g(h). Factor s(k).\nAnswer: 2*(k - 1)*(2*k - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -95 + 53 - -68?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3 = 6*b. Suppose -5 = -b*l + 4. Solve 0 = -t + l - 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/16807 and 51\/539?\nAnswer: 184877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622261 to the power of 1\/2, to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 406032 by 33836.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8472149 is divided by 7723?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**5\/10 - a**2\/2 + a. Determine c(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s**2 - 49*s + 11. Let g be y(6). Let j(i) = 11*i - 3. Let n be j(2). Solve 4*p + 19 = -3*w, p - n - g = 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55558 divided by -2\nAnswer: 27779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, x: 12, z: 5}. Give prob of picking 2 z and 1 c.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 1. Let a be h(0). Solve o + 3*x - a = 0, -o - 3*x - 7 = -2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -2. Let j(r) = -3*r + 2. Let n(b) = -13*b**2 - 3*b + 1. Let q(i) = 18*i**2 + 5*i - 2. Let x(m) = -7*n(m) - 5*q(m). Give v*x(u) + 3*j(u).\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2862829 divided by -45?\nAnswer: 2862829\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 2:47 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + s. Let o be v(1). Suppose 0 = -2*t - 5*d - 3, o = 4*t - 0*d + 5*d + 1. Suppose m + t = 5. Solve 0 = m*a + 3 + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 10. Let u be n(8). Suppose -3*i - u*y = 3, -5*i + y = 3*y + 9. Sort i, 29, 5 in increasing order.\nAnswer: i, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*-1*(-2 + sqrt(612)*3*-2)*-2 + 5)**2.\nAnswer: 25056*sqrt(17) + 3173449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21491\/39 + -551. Is x at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 120 = -110. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - p**2 + p**2)*(4*p**3 - 6*p**3 + 0*p**3)*(4 + 11 - 4).\nAnswer: -44*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 less than 2816370?\nAnswer: 2816060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -667227\nAnswer: 16\/667227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l = 46 + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1008 and 133\/4176?\nAnswer: 29232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 281756229 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21111110100 (base 3) to base 9\nAnswer: -244410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/4339 + 698573\/26034. Let u = c - 1783\/66. Let h be (-8)\/3 - (-2)\/3. What is the smallest value in -1\/5, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47202*l**3 + 65*l - 9*l - 22*l - 34*l.\nAnswer: -47202*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1749262136 to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 18. Let s be m(12). What are the prime factors of (-12)\/s - 438\/(-14)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34\/111 + 479\/74. Let s be (-2)\/6*(-3)\/(-10390). Let l = -293519\/15585 - s. Find the common denominator of l and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o + 8*o**2 - 12*o + 302*o**3 - 5*o.\nAnswer: 302*o**3 + 8*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*t - 250, -5*t + z + z = -601. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 4. Let j = -5.99925 - f. What is j rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0808202 and -879.\nAnswer: -71.0409558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/9)\/(4\/30). Suppose 0*q - 10 = -j*q. Solve 4*h - 6 = -q*m - 0, -5*m + 3*h - 37 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 1, y: 2, z: 2, s: 1}. What is prob of picking 1 z and 1 y?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0*b**5 + 1\/24*b**4 + 0*b**6 - b**2 + 1\/210*b**7 + 0 + 0*b**3 + 0*b. Find the second derivative of s(g) wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111100111111001 - 101?\nAnswer: 11111100111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -11)*(-3)\/6. Suppose 3*b = 3*w + 48, 13*b - 10*b = -4*w + 48. Let n = 19 - b. Solve 0 = -u*v + n*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3713, -1\/15, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 341 - 5a?\nAnswer: 2d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*n = 11813 - 46265. Calculate the least common multiple of 4 and n.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2. Let a(t) = -3*t + 30813. Calculate a(r(p)).\nAnswer: -6*p**2 + 30813","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 9 = 4*q, -q - 3*p = 2*p - 12. Suppose -r = -2*u + 22, u - r + 1 - 13 = 0. Let s be ((-1)\/(-10))\/(4\/u). Sort -1, s, q in increasing order.\nAnswer: q, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*j - 22 + 28 - 6.\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 2:28 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 - 3*f**3 - 2*f**3 + (-4*f**3 + 2*f**3 + f**3)*(3 - 4 + 3) - 28*f**2 + 327 - 2*f**3 - 327 + 2*f.\nAnswer: -6*f**3 - 28*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 147 (b) -1.46 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t + 2 = 0. Let n(w) = -12*w + 6. Let k(g) = 4*g - 2. Let h(q) = 8*k(q) + 3*n(q). Calculate h(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-228)\/((-2)\/(-2)))\/(297\/22). Let r = u - -769\/45. What is the second smallest value in r, -0.11, -2\/7?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 0.5 (c) -1\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 1. Let d be g(6). Let p(y) = -y**3 + 7*y**2 - 3. Let i be p(d). Let a(n) = -n**3 - 4. Is a(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*c + 11*c + 47 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**4\/12 + 20*p**3\/9 - 7*p**2\/2 + 323. Factor w(z).\nAnswer: z*(z - 1)*(z + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -8*q + 5*q. What is q rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at most as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13*72\/(-1638))\/((-3)\/((-63)\/30)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 21*x**3 + 4*x**2 + 12*x - 3. Does 12 divide k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -54?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uimduddddidmmdmdu. Give prob of picking 2 d.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 649 + -648. Let h be 447\/(-1490) + 1\/(-5)*f. What is the nearest to 0 in 0.02, h, -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:24 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 - 4354*g + 4354*g - 47*g**5 + (-3*g**2 + 0*g**2 + 2*g**2)*(g**3 + 4*g**3 - 4*g**3) - 4*g**2 - 2*g**5 + 4*g**2 + g**5 - 4*g**5 + 2*g**5.\nAnswer: -51*g**5 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 133*i**2 + 2*i + 2. Determine b(-1).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4191247.228 to the nearest 100000.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -1.04, -177, 5 in decreasing order.\nAnswer: 5, -1.04, -57, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 3:29 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 1 + 9. Let r(k) = 9*k**3 - 3*k**2. Let x be r(o). Suppose m + 20 = 2*m - 2*g, 3*m + g - x = 0. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from {x: 1, o: 2, l: 1, h: 2, w: 12, f: 2}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26622 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 72 = 8*x - 4*x, 36 = d + x. Let h = 37 - d. Sort 0, -2, h, -4.\nAnswer: -4, -2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-1.811738\nAnswer: 0.3623476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a decade?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 98382.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (-4)\/(-2)) + 8. Suppose 4*n + 41 + 31 = 4*s, 3*n = -3*s + 42. What is the greatest common divisor of s and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4267*d**2 - 214401*d**2 + 21740*d**2 - 37635*d**2.\nAnswer: -226029*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -170b1 (base 13) to base 10.\nAnswer: -44084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((0 - 0)\/1)\/(-1). Suppose l = 4*i + 2*t + 10, 0 = i - 4*t - 3 - 8. Let m be (-1)\/(2\/4*i). Solve -1 = 3*z - 3*u - 4, -m*z = 5*u - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5475115?\nAnswer: 5, 1095023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 4*f = 439*f + 38*f + 5868 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2)\/(11\/88). Which is the closest to -0.1? (a) -0.07 (b) -5 (c) -2\/11 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -535 = -3*j + 5*v - 0*v, -3*j + 523 = v. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -23\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43074*w**3 - 49184*w**2.\nAnswer: 258444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**2 + 4*r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -3, 2, -2.\nAnswer: -46, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 + 6*j + 6. Let d(z) = z + 1. Let s(v) = 6*d(v) - y(v). Let m be -1 - -3 - (-3 - -5). Let f(g) = g - g - g + m. Calculate f(s(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2101385 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obow when four letters picked without replacement from {u: 5, o: 2, w: 7, b: 5}.\nAnswer: 35\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*j = 2094, 24*a - j - 3677 = 17*a. Calculate the lowest common multiple of a and 105.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from ghynn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-80) - (264\/220 + (-78)\/4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37\/6 - 1\/12. Let k = 2369 - 9507\/4. Calculate the common denominator of k and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b + 102*b**5 + 6 - 154*b**5 + 4 wrt b?\nAnswer: -1040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-nine quarters of a tonne?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 0*f + 0*f**3 + 76 - 7\/5*f**5 + 1\/4*f**4 - 231\/2*f**2. Find the second derivative of h(w) wrt w.\nAnswer: -84*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = 5*t + 7*a, -19*a = 4*t - 20*a + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 3*c + 0*c)*(17*c - 3*c - 7*c + (-2 + 1 + 3)*(0*c + 2*c - 3*c)).\nAnswer: -35*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**4\/6 - 8*j**3\/3 + 12*j**2 + 40*j. Find u, given that b(u) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14640 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from qqqqqgqrrqrqygqyrqg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161290, 161295, 161302, 161311, 161322?\nAnswer: 161335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*y = y + 6, 2*y + 27 = 5*b. Suppose d + 3*d = 0. Let o = b - d. Solve -o = j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dduduudddddddddddud. Give prob of sequence duu.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -w + 88, 5*r + 141 = 3*w - 83. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**18*o)**32)**(11\/5) assuming o is positive.\nAnswer: o**(6688\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1311230, -1311242, -1311268, -1311314, -1311386, -1311490, -1311632?\n\"Answer: -w**3 - w**2 - 2*w - 1311226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.1527515 and -950023.\nAnswer: -950028.1527515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*k + 184, 4*q + 2*k = -3*k + 303. Which is greater: 83 or q?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbgg when four letters picked without replacement from bgbbghbbgbhgghbb?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -727, -728, -729?\n\"Answer: -c - 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 4:12 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*d + 281*d - 10831 = -295*d + 40849 for d.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 149152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 5*p + 1. Let u(s) = 16*s**2 + 30*s + 52. Let q be u(-2). Suppose -3*k - 77 + q = -3*a, -a = 4*k + 18. Calculate i(k).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 + 1.95. Let l = -2.3 - -2.41. Let g = -0.31 + l. What is the smallest value in 5, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*w + 19 = 0, -3*t = -2*t + 5*w - 17. Suppose 3*a = -t*f + 59, -7*f + 2*f = a - 37. Let h(c) = -a + 17 - 2*c. Let r(m) = 3*m. What is h(r(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= -2.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.78 - 13.2. Let u = i - 0.58. What is the second smallest value in u, 0.5, -2\/3, -8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 10. Let p be y(-9). Calculate the smallest common multiple of p\/5 + (-32)\/(-10) and (-10)\/(-6)*168\/70.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 40*j**2 - 10*j + 60. Let d(n) = 41*n**2 - 11*n + 60. What is -8*d(g) + 9*p(g)?\nAnswer: 32*g**2 - 2*g + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-10)*10*9\/(-36). List the prime factors of 30*(o + 0 + 6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w + 23 = -151. Let x(y) = -y**3 + 7*y**2 - 6. Let u be x(6). Calculate the greatest common divisor of w and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 323 - -440420240?\nAnswer: 440421113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yryr when four letters picked without replacement from ryryrrryrryyy?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 216 - 3644. Which is bigger: h or -3427?\nAnswer: -3427","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**5*n**3 + 16*b**5 - 35*b**2*n**3 - 2*b**2 + 2*n**3 wrt b?\nAnswer: 360*b**2*n**3 + 960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/15 - 611\/(-5). Suppose -5*p - n = -t, -p = 2*n - 6*n - 37. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13230032000201 - 11?\nAnswer: -13230032000212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(130) + sqrt(130) + -4*sqrt(130))*4)\/sqrt(10).\nAnswer: -8*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.951927231 to three dps.\nAnswer: 0.952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**3 - 4*r**3 - 2*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4118 take away 0.001595?\nAnswer: -4118.001595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 take away -10263902888?\nAnswer: 10263902898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033453724 to five dps.\nAnswer: 0.00335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 963, 2835, 6477, 12519, 21591?\nAnswer: 34323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:02 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -87, -119, -151, -183?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {z: 1, d: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2924550 and 29.\nAnswer: -2924521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13043240*-0.1.\nAnswer: -1304324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -0.4, -8 in ascending order.\nAnswer: -8, -4, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 + (-52)\/(-133). Suppose l + 5*z + 10 = 0, z - 8 = 5*l + 5*z. What is the closest to 5 in -0.4, l, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 432\/270*2*5\/4. Sort -1\/2, t, 1\/5, 0.5, -2 in ascending order.\nAnswer: -2, -1\/2, 1\/5, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 63*j + 566. What is x(-12)?\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 63 (b) 0.5 (c) -2 (d) -0.05 (e) 43\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 51*c**2 - 2. Let f(z) be the third derivative of -2*z**4\/3 + z**3\/2 + 3*z**2 - 244*z - 1. What is f(v(a))?\nAnswer: -816*a**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50507, -50505, -50503, -50501?\nAnswer: -50499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Suppose 3*w + 7 = h. Let l(m) = 5*m**2 + m. Let j be l(w). What is the greatest common factor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b7 (base 15) to base 6.\nAnswer: 4544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.77422 less than 0.17019845?\nAnswer: 5.94441845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 28 - 67 = 0. Suppose j = -4*p - 21. Let c = -7 - p. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 - 39*k**2 - 11*k - 175. Let m be p(20). Solve v - m = -4*l, 4*l + 19 = 4*v - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17104570415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -8. What is the tens digit of (-3)\/(-6)*(30 - f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pee when three letters picked without replacement from {e: 8, p: 5}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 + 294 = -10*w - 381 + 2 for w.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w**2 + 15*w - 8. Let a(d) = -22*d + 9. What is a(b(y))?\nAnswer: -154*y**2 - 330*y + 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825770882?\nAnswer: 2, 29, 43, 467, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -c + 48. Suppose 37*h - 39*h + 5*t + 47 = 0, -5*h + 3*t = -165. What is the highest common factor of c and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/37720 and -137\/5658.\nAnswer: 113160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i**1)**(3\/46))**(-7))**38)**45 assuming i is positive.\nAnswer: i**(-53865\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 7:25 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*q - 31*q + 139*q)*(-76*q + 76*q + 31*q**2).\nAnswer: 2015*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 160 = 5*y + 6*u, -115 = 5*y - 4*u. Let a be (y\/3)\/3 + 5. Suppose a*k = 6 + 6. What is the lowest common multiple of k and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4 + -6 + -7 - 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2687762 to the power of 1\/2, to the nearest integer?\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.36 + 58.64. Let l = -1807007.71 + 1807067.7100152. Let n = h - l. What is n rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10*((1 - 0) + (-13 - -13)). What is the common denominator of 113\/12 and ((-74)\/20)\/(304\/(-40) - w)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 11 - 41. Find the first derivative of -102 + o*s + 18*s + 109 wrt s.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79148 or 79136?\nAnswer: 79148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53.22 - 53.72. Which is the fourth smallest value? (a) i (b) -2 (c) 0.2 (d) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**11*v*(v*v**(-9)*v)\/v*(v**(2\/5))**1)**(-33) assuming v is positive.\nAnswer: v**(-726\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -23. Let z = 313 + -318. Which is the third biggest value? (a) w (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 1\/8, -13, -3, -28\/39?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273204 is divided by 27285?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -28*d + 27*d + 7, -4*x - 26 = 2*d. Which is the smallest value? (a) -2\/9 (b) d (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 526738*v - 138726460322.\nAnswer: -(v - 526738)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -84 + 3*r**2 + 111 - r**3 - 31 - r. Give b(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 5:48 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*p - 2*k - 8, -p - 4*k + 7 = 0. Let f(c) = -c - 3. Let q be f(p). Suppose a - 8 = -4*o, -2*o - 3*o = -q*a - 10. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 6*p = 30, -14 + 23 = -3*f - p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4459 times 1.33?\nAnswer: -5930.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*m + 58963, 33*i - 5*m = 32*i + 14752. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10963 is divided by 1467?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231121 + 11301?\nAnswer: 303022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j. Let d(b) = -9*b. Let p = 12 - 8. Let h(m) = 2*m - 4*m + 3*m. Let n(f) = p*d(f) + 44*h(f). Give s(n(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3275 (base 13) to base 10\nAnswer: 7025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26046 = 5*u + 4*m, -2*u + 10452 = 350*m - 354*m. Does 237 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbabbabbabbobnnbnnb. What is prob of picking 1 b and 1 c?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 - 31*y**2\/2 - 84*y.\nAnswer: -y*(y + 7)*(y + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3 = 3*h, h + 102908 - 102963 = 5*s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 2:57 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 21*a - 4. What is the lowest common multiple of (-70)\/(-3) - 24\/(-162)*-9 and i(6)?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.34 + 0.340124. Round u to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (0 - 3 - 0). Let s(x) = -16*x**2 - 4*x - 2 + 12*x**2 - 2*x**3 + n. What is the remainder when 54 is divided by s(-3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.6, 0.68, 3\/10, -3, -7\/5 in descending order.\nAnswer: 2, 0.68, 3\/10, -0.6, -7\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 795047897 to the power of 1\/2, to the nearest integer?\nAnswer: 28197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 12) in base 2?\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10242 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000063 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32449, -64807, -97145, -129457, -161737, -193979, -226177?\n\"Answer: k**3 + 4*k**2 - 32377*k - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -14, -21115, 5, -0.5?\nAnswer: -21115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f - 18. Give j(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 1:02 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 285 = 93. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250061333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 755721.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -42*g**5 - 261*g**4 - 195*g**3 + 288*g**2 - 60*g = 0. Calculate g.\nAnswer: -5, -2, 0, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 519 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 92917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 563.\nAnswer: 563.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*f**4*k + 3*f**4 - 46*f**3*g + 33*f**3 + 10077*f**2*g*k - 175*f**2*g wrt f.\nAnswer: 288*f*k + 72*f - 276*g + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + (-10688)\/(-128) + ((-2)\/(-4) - -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 1, a: 1, u: 1, c: 1}. Give prob of picking 1 b and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*v - 33 = 0, 4*b - 2*v + 0*v = 104. Let g = b - 15. What is the remainder when 31 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23172096 + -0.06\nAnswer: 23172095.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432306763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21684258499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**5\/10 - k**3\/6 + 2*k**2 - 22*k. Let h be s(0). Solve -h*d - 8 = -3*z - 37, 0 = 5*z + d + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/5458 and -55\/2764?\nAnswer: 7542956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6.885384137 - -107501\nAnswer: 107507.885384137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.45831 days to nanoseconds.\nAnswer: 3149997984000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0 + 5\/2*h**2 + h - 2\/3*h**3. Let q be 5 + -4 - 6\/(-2). What is o(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1426216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 + 51*x**2 - 38*x + 310. Give w(-19).\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zus when three letters picked without replacement from zuzusuzzzus.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 4*i**2 - 6*i - 1. Let m be a(-5). Suppose 3*u - 36 = 18. Calculate the greatest common factor of u and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 11*g**2 - 3*g + 23. Let m be k(11). What are the prime factors of 10128\/60 - (-8)\/m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 103654782 and 3141054?\nAnswer: 103654782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**7\/735 - m**5\/210 - 34*m**2. Suppose w(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 10.4. Let w be 228\/513 - (1 + 38\/(-90)). Which is the third biggest value? (a) -2\/5 (b) u (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-11) + 7\/77. Suppose -5*k - 6*b + 2*b - 4 = d, 3*k - 2*b = 2. Which is greater: k or 1\/27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -773 from 18671460958.\nAnswer: 18671461731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 71145353005968?\nAnswer: -71145353005967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.005 - -0.005. Let r = -2.211 - -0.231. Let d = -0.02 + r. What is the closest to -1 in 0.03, k, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h + 16. Let o be j(10). Does 13 divide o\/6 - 3776\/(-48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/35, -5, 2, 1.681 in ascending order.\nAnswer: -5, 2\/35, 1.681, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 5:58 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 4:25 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1716 - 1712. Sort 1, 84, w in descending order.\nAnswer: 84, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llfuuullyuuuluuulul. Give prob of sequence ylll.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144176 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -9072*s**2 - 72*s. Let f(b) = b**2 + b. Let u(t) = 72*f(t) + j(t). Let y be u(-2). What is y rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2343\/41 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/27 in -5\/7, -3\/5, 2, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -421.39596\nAnswer: 842.79192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 7*u + 6*u. What is the remainder when 52 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 2*k - k)*(-k**2 + 3*k**2 + 0*k**2) + (-2*k + k**2 + 2*k)*(-3*k + 3*k + k) + k**3 + 7*k**3 + k**3.\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7566 is divided by 379?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*l = 7, 3*b - 3*l + 0*l = 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 64\/(-20))*85\/68?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10793605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 7*g**2. Let d(r) = 2*r**3 + 6*r**2. Let j(y) = 5*d(y) - 4*p(y). Find the third derivative of j(a) wrt a.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 4*b**2 + 6*b - 1. Let w be a(5). Suppose m = -3*f - 3 + 23, 5*m + 52 = w*f. Let k = -5 + f. Let u(h) = -h**2 + 5*h + 2. Calculate u(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -395 - -383. What is the nearest to -2 in a, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1899471719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m - 47. Let j(t) = -3*t + 16. Let w(s) = 6*a(s) + 17*j(s). Is w(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-28)*-4*(-3)\/21?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxllllllllllllxlllll. What is prob of sequence xlx?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16417443 - -0.4292.\nAnswer: 16417443.4292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10076 by -22.\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 96 and 95 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/3, -4.51, -2434?\nAnswer: -4.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -92 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-48) - (-56)\/(-448).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 46 = -3*v - 8, -2*z + 2*v + 96 = 0. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.728 and -0.464.\nAnswer: 5.441792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((5 - 10) + (0 - -12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 152*j - 1 - 124*j - 29*j**2 + j**3 + 19. What is the lowest common multiple of z(28) and 42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116741.733 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-13)\/(t**13\/t) assuming t is positive.\nAnswer: t**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5320*i + 28510 = 282844 + 258404 - 140338 for i.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101097, -202179, -303247, -404295, -505317, -606307, -707259?\nAnswer: -808167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (82 - 83) + (-1 + 1 - 7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -21 + 0 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17045, -33986, -50893, -67748, -84533?\n\"Answer: 3*t**3 - t**2 - 16959*t - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, c: 7, m: 1, l: 1, o: 3}. What is prob of sequence comk?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.4 + -5. Let h(j) = -3*j + 31. Let v be h(13). Let o be (-10)\/v - 0 - (-11)\/(-11). What is the third biggest value in n, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25235 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 16*w**3 + 264*w**2 + 28*w. Let a(p) = -3*p**3 - 48*p**2 - 5*p. Calculate 28*a(q) + 5*b(q).\nAnswer: -4*q**3 - 24*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.38 in -2\/13, 3, -5, 2\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89982845611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 998081*v - 1932 = 998173*v for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdi when three letters picked without replacement from drdrrirrrrirdhriird.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 510235 - 5?\nAnswer: 510230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*x + 4*n, 3*n + 0 = 2*x - 12. Suppose -z - 2 + 5 = x. Find the third derivative of 0*b**2 + 5*b**2 - 11*b**z + 16*b**3 wrt b.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53493?\nAnswer: 3, 11, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s - 3. Let p be ((-6)\/(-174))\/(5\/(-2)). Let m = p - -153\/580. Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 6*p**2 - 3*p - 6. Let z be d(6). Let j = 85\/769 + 1627\/6152. What is the second smallest value in -1\/2, z, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468)*-1 + 2 + (sqrt(7488) + 1)*3 + sqrt(7488))*-4)**2 + 1)*-2.\nAnswer: -3370402 - 28800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 17 - 5*y**2 + 334*y + y**4 + 3*y**2 - 6*y**3 - 2*y**3 + 6*y**3 to the form o*y**4 + c*y**3 + z + a*y + i*y**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2253*j + 2713*j**2 - 2253*j.\nAnswer: 2713*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -8*q**2 + 0 - 3 + 13*q**2 - q. Is h(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sevenths of a week in minutes?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99315924 is divided by 199.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/4 and (3\/45)\/(16\/(-254))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Suppose -i*b + 3*d = -3, 0*b + b = -5*d + 1. Suppose 2*c = -3*h + 4 + 5, h + 14 = 5*c. What is the remainder when b is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/15)*o)\/o*o*o\/(o*o\/(o*(o**(-6\/13)\/o)\/o)))\/(o\/((o*o\/(o*o*o**(-4)))\/o*o)*(o\/o**(-12))\/o) assuming o is positive.\nAnswer: o**(-2014\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -148 + -7?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 369\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 - 4*u**4 + 3*u**4 + 0*u**2 - u**4 + 0*u**2 + (0*u**3 + 4*u**3 - 5*u**3)*(-31 + 31 + 4*u) - 3*u**4 + 3*u**4 + 2*u**4.\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3194394?\nAnswer: 2, 3, 7, 19, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhn when three letters picked without replacement from {k: 1, h: 5, r: 4, y: 1, j: 3, n: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -5*f**3\/3 - 6390*f**2 - 8166420*f + 5692. Factor t(b).\nAnswer: -5*(b + 1278)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 10*g**2 - 40*g + 90. Let o be u(6). Let i(q) = -8*q**2 + 3*q - 1. Let y(r) = 13*r**2 + 0 + 4*r**2 - 7*r + 2. What is o*y(c) - 13*i(c)?\nAnswer: 2*c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a millennium in centuries?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544644571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 6. Let g = -177 + 189.1. Let f = g + x. What is the nearest to -1 in 2\/13, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1729437?\nAnswer: 3, 19, 30341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111922 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-6)*2\/5*(-8)\/7.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(51)*1)\/sqrt(3).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-11) + (-210)\/(-66). Let y be 6 + (6 - t - 5). Solve 0 = 6*i - y*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/14)\/((132\/11)\/(-84)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -9. Suppose -5*c + 948 = -c - u*x, -5*c - x = -1185. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((1*sqrt(504) - sqrt(504)) + sqrt(504) - sqrt(14) - sqrt(14)))\/(-6*(sqrt(7) - (sqrt(7) + 1*sqrt(7)))*1).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z - 10. Suppose 0 = z*s, -3*t - 2*t + 5*s + 10 = 0. Find the third derivative of f**t - f**2 - 2*f**4 + 0*f**4 + 5*f**2 wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 0.3 (c) -5 (d) -1 (e) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-1*6\/(-15)). Suppose 31 = 3*u + w - 2, 3*u + s*w = 33. Let n = u - 8. Solve 0 = -2*b + 4*k - 24, 5*b - n*k + 6 = -26 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z**3 - 3*z**2. Let r = 1394 + -915. Let s(m) = -1434*m**3 + 4*m**2 + 476*m**3 + r*m**3 + 471*m**3. Determine -4*n(b) - 3*s(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (40\/50)\/(4\/710) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 4*l - 31, -k + 2*k = -3*l + 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2364 + 2363.9999994738. What is m rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 19 = -3*v, 4*k - 17 = k - v. Suppose 3*x = 2*n - 96 - 92, 394 = k*n + 3*x. What is the remainder when n is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 917860 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 5*x + 5\/6*x**3 + 0*x**5 + 0 + 1\/6*x**6 + 0*x**2 + 0*x**4. Find the second derivative of w(n) wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 55*q - 60*q - 7 = 0, 4*y + q = 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3358 - 20195\/6. Let f(k) = -k**2 + 14*k + 9. Let u be f(12). What is the common denominator of u\/114 - (3 + -4) and i?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, j: 6, u: 4}. What is prob of sequence uj?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 + 117. Which is the nearest to j? (a) -0.1 (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.77 rounded to zero dps?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1592 or 1593?\nAnswer: 1592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 2*n**2 - 41*n + 52. Give t(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 312, 344, 400, 486, 608, 772?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q + 133*q + 517 - 255 + 52 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (77\/(-7))\/11 - -10*1. Suppose -n + 8 = p, 3*p = 4*p + 2*n - 11. Solve 0 = i - 2*b + 4*b - x, p*i = -b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18199, 18120, 18035, 17944, 17847?\nAnswer: 17744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 229 - 29. Is 50 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*v + 27*v**2 + v + 2*v + 5*v to r + o*v + y*v**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 234555343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22770 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g\/(g**(-1)*g))\/g)\/g))**(-39)*(g\/(g*g\/g**(-4))*g)\/((g\/(g*g\/(g*(g\/(g\/(g\/g**(1\/10)*g)))\/g)*g))\/g) assuming g is positive.\nAnswer: g**(-809\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 2424?\nAnswer: -2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 35*g + 5. Suppose -r + 62 = 28. Let o be (-8)\/4*(-3)\/12*r. What is the remainder when u(o) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-22)\/99)\/(1\/(-9)). Let h(p) = 50*p**j + 41*p**2 - 88*p**2. Let o(n) be the second derivative of n**3\/3 + 2*n. What is h(o(d))?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 - 9*x**2 - 5*x - 47. Let m be z(-9). Suppose 0 = -4*c - n + 890, -3*c + 3*n + m = 52. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5769\/173070 - (1855\/450)\/7.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 79*v + 294. Determine o(74).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.09 (b) 2\/243 (c) -5 (d) 297\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 1 - (134 - 93 - (6 + 0)) - 0\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7221, -55388, -186133, -440748, -860525, -1486756, -2360733, -3523748?\nAnswer: -5017093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2257163 times 118?\nAnswer: 26.6345234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10620*f = -10618*f + 5*q - 18, -4*f - 5*q = -16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -1 - (105 + -18 - 58)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81697 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2. Suppose 4*o - 104 = -8. Suppose 7 - 1 = -b - 2*z, 4*b = 4*z + o. Let r(f) = -3*f**2 + 3*f**2 + f**2 + b*f**2. What is t(r(c))?\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**2 - 397*i**3 - 43 - 6*i**2 - 19 + 0*i**2 + 128 wrt i.\nAnswer: -2382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1914 less than -1912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 7. Let y = 6 + d. Suppose y*i + 25 = 4*i. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 965 = -149. Let m = 101 - u. Calculate the smallest common multiple of m and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 - 4?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 - 2 - (5 - 5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/736 and -107\/8556.\nAnswer: 68448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 728 - 550 + 741 + 392 - 2*d + 1041 to the form g*d + a and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - -44) + (3 - 5 - 5) + (45 - -2).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(20)\/sqrt(5)))\/sqrt(5).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-259 - -233) + (2 - -18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -1973587248296?\nAnswer: 1973587248296.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71964 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 5*m + 14, 4*a = -4*m + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 375*p + 23000.\nAnswer: -5*(p - 40)*(p + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5*n - 28, 2*v + 5*n - 45 = -14. Which is smaller: v or 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 548124?\nAnswer: 548125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 v when four letters picked without replacement from vvwvvwvw?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.56\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -11010110100011011011?\nAnswer: -11010110100011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 5 + 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 6 - 852*k**2 - k + 850*k**2 to g*k**2 + b + w*k and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.05326*0.06\nAnswer: 0.0031956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/14 - 465\/630. Let i be 1*-2 + 9\/4. Put -0.1, i, j in descending order.\nAnswer: i, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 + (-92)\/(-69)*-3*1 + 46 and 1344.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (4 - -5) + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 239058 by -6.\nAnswer: -39843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2673\/2 or 1336?\nAnswer: 2673\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 188*r - 186*r + 1008, 5*d - 1015 = -5*r. Is d at most 210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3 + 0*i + 0*i + 9*i**3 wrt i?\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1446, 5785, 13016, 23139, 36154, 52061, 70860?\n\"Answer: 1446*o**2 + o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82497.7191 rounded to the nearest one thousand?\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5\/5 - 10104*v**4\/5 + 717729*v**3\/5 - 14594778*v**2\/5 + 69282432*v\/5 - 95053824\/5 = 0. Calculate v.\nAnswer: -3438, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*v - 597*v + 360*v - 951*v - 429*v.\nAnswer: -2111*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 234997\nAnswer: 704991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 518 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-543246.\nAnswer: -7605444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 7*z**2 - 5*z - 2. Let u be o(-3). Find the second derivative of -4*k - 2*k**u + 23*k + 2*k - k**2 wrt k.\nAnswer: -24*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 351.\nAnswer: -40\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 6, 8, 8, 6, 2, -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2 - 6. Suppose -o*t - t + 12 = 0. Put 3, t, 5 in increasing order.\nAnswer: 3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 28*m**2 - 88*m + 14. List the prime factors of s(5).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40249.\nAnswer: 11, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**4\/3 + 21*l**3\/2 - 6*l**2 - 6*l. Is g(-23) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/25789 and 20\/391?\nAnswer: 593147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 3. Let k be (35\/(-70))\/(14\/(-8)). What is the closest to 0.1 in q, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 2141600.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/6 + (-8)\/96*6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14596*k + 7296*k + 7302*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**5\/15 - m**2 - 1. Let p(d) be the second derivative of b(d). Let q(w) = w. Give q(p(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2*l*o*y - 143*d**2*o**3*y - 9*d**2*o**2*y + 2*d*l*y - 2*d*o**3*y + l*o**3 + 2*l*o**2*y - 2*l*o**2 wrt o?\nAnswer: -858*d**2*y - 12*d*y + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*l**2*w**2 - 16123*l**2 - 34*l*w**2 + 2*l + 20*w**2 - 2*w + 5 wrt w.\nAnswer: -50*l**2*w - 68*l*w + 40*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 0)*3*(-3)\/9. Let y(f) = 3*f**3 + 5*f**2 + 0 - 2 - t*f**3 + 10*f - 18*f. Determine y(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = g + 8, 3*g - 3*t + 34 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 6:06 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f + 184 = 5*c, -f - 5*c + 46 = 0. Find the first derivative of 228*l - 74 - 85*l - f*l wrt l.\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1327\/21 - -253\/4. Calculate the common denominator of l and 59\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 = 0, -2*x + 0 + 3 = n. Suppose 0 = n*w - w - 8. Solve -3 = 2*r - 5*r - 4*i, w*r = 5*i + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68854 by -22.\nAnswer: 34427\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**3\/3 - o**2\/2 - 34. Determine s(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6766 + -3651. Let r = -84 + u. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 13 = o - 2*o, 3*x + 5*o = 14. Suppose -x*h = 2814116 + 11585884. Round h to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -571.\nAnswer: 4\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7236, -7233, -7228, -7221?\n\"Answer: i**2 - 7237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 342191987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 75280.2t?\nAnswer: 75280200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -7.96. Let o = s - -0.44. What is the second smallest value in -1, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111014 and 564.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r - 10 - 36 + 9 + r**2 - 75 - 14. Let j be c(-9). Sort 1\/3, 74, j, 0.4.\nAnswer: j, 1\/3, 0.4, 74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93983*f + 1128 = 93936*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1612 (base 12) to base 13\nAnswer: -1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3)\/(j\/j**(-1\/17)) assuming j is positive.\nAnswer: j**(-69\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 3750.\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -148, -145, -140, -133, -124, -113?\n\"Answer: u**2 - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, x: 3, w: 1, c: 2}. What is prob of picking 1 g and 1 w?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 1033 + 121 = 0. Calculate the least common multiple of w and 10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 168 = -22*z - 33 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/48)\/((-6)\/9)*-6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7149 by -1.\nAnswer: -7149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlddlltldtlfflddlll. What is prob of sequence td?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (4 + 11) - (-414)\/60?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**4\/60 + d**3\/30 + 2*d. Suppose k(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(4\/5)*y*y\/(y*y**2))\/(y\/y**1)**(-43)*((y**1\/y)**6)**(-26\/7) assuming y is positive.\nAnswer: y**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 = -2*h, -3 + 18 = 3*r. Solve 5 = -u, h = -5*p + 7*p - 3*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 7*b + 2. Let o be s(7). Suppose -o*p - 54 = -4*m, -4*p = m - 2*p - 6. What is the remainder when 46 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 2. Let g be m(-8). Let k = g + -127\/7. What is the second biggest value in 0.1, k, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**3\/6 - p**2\/2 - 21*p. Suppose 0 = -11*j - 65 - 45. Let n(h) = -12*h - 4*h - 6 - 4. Give j*y(b) + n(b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7159 < 6510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4) + 62\/(-24). Let h = 230 - 194. Let y = 35.8 - h. Which is smaller: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 206794036*g**5 - 464*g**2 + 666*g - 6 wrt g.\nAnswer: 12407642160*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-6 - -4) + 11 + 2 + -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - -26. Let u = 1399783 + -1399738. Calculate the remainder when u is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 14*m + 188. Let v(u) = -2*u - 1. What is l(a) + 6*v(a)?\nAnswer: 2*a + 182","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/414 + 1261\/4140. Calculate the common denominator of x and 127\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(1\/26)*r)\/r**(-2\/55))**(-34) assuming r is positive.\nAnswer: r**(-72879\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**3\/2 + 879345*z**2\/2 + 96656173464*z + 96655733792 = 0.\nAnswer: -439672, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -133627.85 and -3.\nAnswer: 400883.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 491 - 486. What is x in -3*x**3 + 3*x**2 - 3*x**4 - 8125*x**5 + 8127*x**t - x**2 = 0?\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 6:51 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 104. Let c = w - 62. Which is smaller: c or 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 44 = 5*q + 3*j, 53 - 131 = -j - 76 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 - -5 - (3 + -7). Let g(f) = -3*f**3 - f**2 - f - 4. Let y(j) = 4*j**3 + j**2 + j + 4. Let q(z) = -3*g(z) - 2*y(z). Calculate q(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m - 17. Let i(v) = 18*v - 33. Let x(d) = 4*i(d) - 7*u(d). Let s(k) = -16*k + 25. Let p(c) = 4*s(c) + 7*x(c). Give p(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 13*q - 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 36004\nAnswer: -1080.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/96 and 103\/30264.\nAnswer: 121056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 18*o**2 - 35*o - 13. Calculate x(15).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*i + 316400 = -71*i. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -186483255.\nAnswer: -186483254.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145521?\nAnswer: 3, 19, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 8*w**2 + 480*w + 968. Let i(r) = 15*r**2 + 964*r + 1938. Let a(x) = -4*i(x) + 7*k(x). Factor a(m).\nAnswer: -4*(m + 2)*(m + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l - 3*l**2 + l)*(-2 - 1 + 1) + 5*l**2 - 6*l**2 - l**2.\nAnswer: 4*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 37713 (b) 1 (c) 5 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 57874139 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5298494 and 672197?\nAnswer: 90074398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + f = -10*k - 5, 4*k = 4*f + 4. Which is greater: 13\/33 or k?\nAnswer: 13\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -356696 (b) -1\/18 (c) 0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.60507 to three dps.\nAnswer: -2.605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.007013048 - 0.007. What is i rounded to seven decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217 and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -48. Let o(w) = 2*w + 14. What is the remainder when d is divided by o(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m = -46*m + 144 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 394\nAnswer: 5\/394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z**2 + 80*z + 15. Give u(12).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22005198 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*r + 122*r - 52*r - 14*r**3.\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(152))\/sqrt(8) + 2*sqrt(1539).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-44)*-10*(-1)\/18?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8641 + 117*u + 8641 to h*u + g and give h.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -19813267\nAnswer: -19813266.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(19)*-4 - sqrt(19) - -2*sqrt(2299))**2 + (-4 + (sqrt(19) + sqrt(1539) - sqrt(19) - sqrt(19)) - (sqrt(152)\/sqrt(200))**2))*5.\nAnswer: 40*sqrt(19) + 517156\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y = -650*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 5. Is l\/(-7) + (-3940)\/(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*f**3\/4 + 16*f**2 - 61*f\/4 + 3 = 0. What is f?\nAnswer: 4\/15, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5800.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y - 33. Let j be s(-3). Let d be (j\/12)\/(-3 - (-746)\/248). Let w = d + 95. What is the second smallest value in 0.5, -1, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 8*h**2 - h + 11. Let q be g(8). Let w = 10 + 30. Suppose q*i = -i + w. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-36)\/(-28260))\/(140\/(-1850)) and -1\/628?\nAnswer: 4396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/512972 and 101\/998.\nAnswer: 512972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2903328 to the nearest 1000.\nAnswer: -2903000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6*(-6723)\/11205?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 697 - 575. Let v be (-16)\/9 - (-2)\/(-9). Is (-9)\/6 + v\/(-4) + p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 217 and 117425799.\nAnswer: 821980593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 2*j - 2 - 17*j**3 + 14*j**4 - 16*j**4 - 13*j**3 to the form p*j**4 + o*j + x + w*j**2 + i*j**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 754 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -44.\nAnswer: -13\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j**5 - 46*j**4 + 30441*j**3 - 12939*j**2 - 196*j wrt j.\nAnswer: 300*j**2 - 1104*j + 182646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 10*p + 13. Let q be h(9). Suppose -26 = -q*o + 2*v, -5*o - 4*v = -0*o - 52. Let b(f) = -f + 7. Let y be b(o). Is y at least as big as -2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysa when three letters picked without replacement from {y: 2, s: 1, a: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/17 (b) -0.3 (c) -1936 (d) 28\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, -375 in ascending order.\nAnswer: -375, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/16*0)\/(-1). Suppose s = 2*s - 2. Solve d = 4*m - s*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -677\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 32*w + 100. Determine t(-26).\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 15 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33680 - 15223. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 + j - 11*j**4 + 0*j**2 - 4*j**2 + 5*j**2 + 8*j**4 as t + x*j + v*j**2 + d*j**4 + k*j**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2 - 6044516*l + 4567021709282 = 0.\nAnswer: 1511129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048207047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.0008 to 1 dp.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 729302.7 litres to millilitres.\nAnswer: 729302700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41351 - 41351.50219. Let h = 9434.5 - 9435. Let p = h - j. Round p to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230802*-0.4.\nAnswer: -92320.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1188, -2027, -2866, -3705, -4544?\nAnswer: -5383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -928*i**2 + 125*i - 10. Let v(f) = -2*f**2 + 8*f - 1. Let c(x) = -r(x) + 6*v(x). What is the second derivative of c(l) wrt l?\nAnswer: 1832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + 21212102?\nAnswer: 21212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 64\/3, 0, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00054504268 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*p - 6*p - p)*((6 + 0 - 4)*((1 + 2 - 2)*(-1 + 3 - 1) - 3 - 2 + 4 - 5 - 2 + 5) - 1 - 2 + 2) to v*p + k and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6263149 is divided by 5272.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.6 and -5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 179391 = 4*h, v - 16479 = 5*h - 160. List the prime factors of v.\nAnswer: 47, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2494 + -299312?\nAnswer: -301806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6223 is divided by 523.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -11*f + 120. Suppose f*j + 4*j - 2904 = 0. What is the highest common factor of 66 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 14124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, -20, -164, -438, -884, -1544, -2460, -3674?\nAnswer: -5228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**2)**(-15)*(y\/y**(1\/3))**(-2\/17) assuming y is positive.\nAnswer: y**(-4\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**3\/3 + h**2\/2 + 4*h - 1. Let y be 5\/((-90)\/12) + (-23)\/(-3). Suppose -2*d = y*d. What is r(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26288, -52577, -78866, -105155, -131444?\n\"Answer: -26289*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g*g*g\/g**0)\/g)\/g**0)**(-1\/17))**(-47) assuming g is positive.\nAnswer: g**(141\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(8\/((-24)\/3))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2256 and 2538?\nAnswer: 20304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -14 - 4) + (-2 - 5) + -8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 18. Let d be m(12). Let j be (78\/5)\/(d*(-6)\/(-240)). What is the highest common factor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4512 is divided by 1096?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -429, -436, -443, -450, -457, -464?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 23*q - 21. Is c(15) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 507885 divided by 5\nAnswer: 101577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 45 = -5*d, 15*d = -z + 20*d + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24447 is divided by 569?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/18942 and -89\/1968.\nAnswer: 151536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (52\/18)\/2 + 1. Let x be (0 - -86)*1387\/(-146). Let h = x - -819. Is h less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnllttttklktjtlltlnt. What is prob of picking 2 l?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/148625 and 24\/1595?\nAnswer: 1634875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 226752727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -676, -677, -678, -679, -680, -681?\n\"Answer: -h - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-9) - (-8)\/(-18). Let q = 269 + -239. Let f = -179\/6 + q. Which is the third smallest value? (a) f (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 417533.8174 and -0.94543.\nAnswer: 417532.87197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 12 - 8. Suppose -55 - 5 = -p*w. Does 29 divide 627\/w - 2*(-1)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**3 + 9770*p**2 + 396800*p + 3988000 = 0.\nAnswer: -20, 1994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 12*l - 7. Suppose -5*g + 360 = -g. Suppose -5*s - 35 = -g. Let z be b(s). Do -0.4 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*t + 32, -3*k + 3*t - 2*t + 19 = 0. What is the remainder when 1021 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 5:40 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -468, -1049, -1858, -2901, -4184, -5713?\nAnswer: -7494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*w**3 - w**2*y**3 + 11*w*y**3 - 3*y**3 + y - 24 wrt w?\nAnswer: -72*w**2 - 2*w*y**3 + 11*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2260 - 1135 + 362*p - 1125 + 2357*p.\nAnswer: 2719*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*g**5 - 648*g**4 - 513*g**3 + 2994*g**2 - 2460*g + 600.\nAnswer: -3*(g + 5)**2*(3*g - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 26*n - 88. Let q be c(4). Solve g = 5, 4*p + 3*g - 7 = -q*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13789 or 68951\/5?\nAnswer: 68951\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.24 + 1.24. Let t = -2 - -1. Which is bigger: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159.4 + -2544?\nAnswer: -2703.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 2*j**3\/3 - 23*j + 1. Let y(d) = -44*d**2. Determine y(b(x)).\nAnswer: -704*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6)*120\/8. Suppose -4*n + 4*r + 16 = 0, r = t*n + 4*r - 44. Let i be 317\/5 + (-2)\/5. Calculate the greatest common factor of i and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c**2 - 3*c - 7. Let v(z) = -6*z**2 - 3*z - 6. Determine 4*j(p) - 5*v(p).\nAnswer: 10*p**2 + 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 19 = 4*l + 35, 0 = -4*j - 4*l + 36. Let x(v) = 5 + j*v - 3 + 7. Is x(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 50 + 239. What is the highest common factor of m and 560?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5524\/7 + -1815\/14. Let x = -672 + j. Find the common denominator of x and -117\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + p - 4, 134 = 10*a + 4*p + 118 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*c - 16*c + 194*c - 194 = 314 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l. Suppose 9*q - 10*q + 3 = l. Differentiate -4*p**3 - q + 2*p**3 - 6*p**3 with respect to p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 30651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -167, -621, -1359, -2375, -3663, -5217?\n\"Answer: k**3 - 148*k**2 - 17*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 163.3 (b) -1.63 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6111 divided by -63\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1287 and 14\/195.\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1 (c) -0.3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 128 + -136 + 83?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2. Let d(x) = 4*x**2 + 8*x - 7. Let o(q) = q**3 + 4*q**2 + 5*q + 4. Let y be o(-2). Let p(l) = y*d(l) + 10*t(l). Suppose p(s) = 0. What is s?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 37, 16, -1, -14, -23?\n\"Answer: 2*j**2 - 27*j + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4\/6 - 40633*q**3\/3 - 1150358*q**2 - 71560127*q\/3 + 150103669\/6 = 0 for q.\nAnswer: -81181, -43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6 = 3*y, -3*y - r + 10 = 2*y. Let f = 6 - y. Suppose 2*z = f*z - 10, -3*m + 26 = z. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 14239106?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 288*z**2 - z**4 + z + 39 - 1166*z**2 + 287*z**2 + 292*z**2 + 290*z**2 in the form a*z**4 + p*z**3 + b + d*z**2 + i*z and give b.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkksskkksk. What is prob of sequence kks?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 - 4*x**2 - 4. Let k be t(3). Suppose -4*w - a + 6*a + k = 0, -2*w + 6 = -3*a. Suppose -w - 6 = -3*d. Solve -2*p = -0*p - d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39671, -80216, -120761?\nAnswer: -161306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 5*d - d)*(-3113 + 3113 + 70*d)*(2 + 2 + 4).\nAnswer: -1680*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**5\/20 + 5*c**4\/12 + 5*c**3\/6 + 3*c**2\/2 + 42*c. What are the prime factors of y(-4)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 370 - 330. Calculate the remainder when k is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o - 10. Suppose -j - 3*j = -5*z - 43, -63 = -5*j - 3*z. Calculate the remainder when r(j) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119.648488 - 84.64843. Let q = 35 - x. What is q rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1484928 and 108.\nAnswer: 4454784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.146100359 to three decimal places.\nAnswer: 0.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/9548424 and 49\/3580659?\nAnswer: 28645272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 64*d**2 + d - 1. Let s be v(-1). Suppose -s = -9*k + 73. What is the remainder when 89 is divided by (-2 + -38 - -1)*(-5)\/k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 227615 divided by -45523\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41232*d**4 + 10136 wrt d?\nAnswer: 164928*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/117 + 20 + 170144\/(-4056)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u. Let d(p) = 12*p**2 + 3*p - 77. Give d(v(j)).\nAnswer: 588*j**2 + 21*j - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -395\/3 - -133. Let o = 193 + -840.2. Let r = 647 + o. Which is the third biggest value? (a) r (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-6)*(-3)\/30. Let y = -0.7 - 0.3. What is the closest to -1\/3 in y, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1752 and 12.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {q: 4, j: 1, b: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 69 - 134 + 14*c + 67)*(c + 1 - 1).\nAnswer: -4*c**3 + 14*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60076606 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 0)*(-4)\/20. What is the nearest to j in -2, -2\/7, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 7*a + 1. Let s be w(-7). Let b be (-3*s)\/(2 - 3). Sort 5, 14, b.\nAnswer: b, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*p = 15903 + 84212, -3*y + 150200 = -2*p. Suppose 0 = 2*t + 8*t - y. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 8. Let p(d) = d**2 - 4*d - 3. Let n be p(-5). Let t = -28 + n. What is the remainder when t is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -r + 14, -4*w + 11*r = 9*r - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p + 0*p)*(0 - 2*p + 0 - 6) - 2*p**2 + 0 + 0.\nAnswer: -4*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Let t = 3 - a. Is 4 a factor of 15\/((-2)\/(-4) + t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/113 and -29\/9.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uueenuueueeeneeuuu. What is prob of sequence unn?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 5\/15*(-18 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c + 6. What are the prime factors of (-5)\/3*(c + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1539)\/162 + (-20)\/(-2). Let s = 8 - 1. Let y = 884 + -879. Which is the second smallest value? (a) y (b) d (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(15\/(-9)))\/((-2)\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from kzdzf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Suppose u*s + 2*s = 20. Solve 0 = -4*k + b - 4, -b + 0*b = 5*k - s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15096145?\nAnswer: 5, 3019229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, 4, 1, -5, -15 in increasing order.\nAnswer: -15, -5, -2, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 0*s - 22\/3*s**3 - s**2 + 90 - 157\/4*s**4. Find the third derivative of h(j) wrt j.\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9074744 by 2.\nAnswer: -4537372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*v - 54*v - 12. Solve -j - 3*j + 7 = -v*b, -3*b - 15 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178303373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/5 - 11214396*r\/5 + 11214394\/5 = 0. Calculate r.\nAnswer: 1, 5607197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfbf when four letters picked without replacement from fffbb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -790?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1246\/1780*2*(-2)\/56)\/(-1).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21906058 to the nearest integer?\nAnswer: 4680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-984)\/(-2583))\/((-48)\/612).\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18230740 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39170 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 533550 and 1689575?\nAnswer: 10137450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) + (-51)\/(-7). Suppose -3*m - f = m - l, 4*m + 5*f = 3. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 - (-1)\/2. Let c = k + 1. Suppose -5*v = c*a - 145, -5*a = -5*v + 42 + 68. Solve 4*f + 2 = 10, -f = -5*j - v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10081 is divided by 416?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83119 and 1462?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2. Suppose 0 = -5*u - 5*o + 25, 0*o + 6 = 4*u - 3*o. Let r(p) be the third derivative of -1\/8*p**4 + u*p**2 + 0*p**3 + 0*p + 0. Give r(z(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1.793875kg?\nAnswer: 1793875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -923*s + 8309. Determine t(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0 = 3. Suppose 10 = t - l. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*w - 14, -4*l - 4*w = -2*w - 18. Let i(q) = 5*q + 24. What is the tens digit of i(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g - 1131 + 316 + 517 to the form b*g + i and give i.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - h - 1. Let k(g) = 42*g**2 - 35*g - 35. Suppose 17*n = 13*n - 4, 1116 = 2*r + 4*n. Suppose 0 = 7*l + 9*l - r. Calculate l*j(d) - k(d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -b - 45, -4*x - 3406 = -5*b - 3370 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 238 + -274. Is 4\/(n\/(-1173)) - 2\/6 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.4, 5\/6, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 785286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-8) + 690706\/(-520). Let z = x - -1328. Do z and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*i - 359 = -4*p, -i = -4*p + 363. Calculate the common denominator of (-4)\/6*186\/12 and 4 + -4 + (-2)\/(-60)*p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -15693.4 (b) 0.5 (c) 2\/3 (d) -0.2 (e) -4 (f) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -237?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23932, -47958, -72086, -96316, -120648?\n\"Answer: -51*s**2 - 23873*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 6*l**2 - l + 1. Let t = 9 + -15. Let s be z(t). Solve 4*v - 4*y + s = -25, 0 = -v + 3*y - 14 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.077, 3, 0.3, 2\/93 in decreasing order.\nAnswer: 3, 0.3, 2\/93, -0.077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(192)\/(6*sqrt(768)))\/(-4*4*sqrt(56)\/(sqrt(56)\/sqrt(8))).\nAnswer: -sqrt(2)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12 = -0*z. Suppose 10 = z*y + 2. Solve 5*u - 4*u = y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, c: 1, q: 1, r: 1, w: 1}. Give prob of picking 1 w and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4\/7, -3, 4\/97 in increasing order.\nAnswer: -3, -4\/7, 0, 4\/97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19830 is divided by 19822.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3. Let f(g) = -g - 5. Let q be f(-6). Let k(j) = -j**3 - j**2. Let n(i) = q*p(i) - 4*k(i). What is the third derivative of n(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 = 4*n. Suppose -x = 4*q - 4, n*x = 2*q - q - 10. Is q\/(-4)*-13*2 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = 1. Suppose -3*n + 5*n = -5*p + 36, -21 = -p - 5*n. Let c be o - (-1 + p + -4). Put 0, c, 5\/6 in ascending order.\nAnswer: 0, 5\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912023?\nAnswer: 7, 113, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-6)*h*h*h\/(h**4\/h)*(h\/h**0*h)**22)\/(h**(-6)\/(h*h*h**(5\/6))*h\/(h*h\/h**(1\/13))*h**(-7\/5)) assuming h is positive.\nAnswer: h**(24241\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, 3, -1 in descending order.\nAnswer: 3, -0.3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 749833919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + 3. Let z(f) = -f**3 - 3*f**2 - 2*f - 1. Let w be z(-1). Let p(i) be the first derivative of i**2\/2 - i - 2. What is w*b(j) - 2*p(j)?\nAnswer: -2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t**2 + 35*t - 4. Let u be d(-9). Solve 3*j = 2 - u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, q: 4}. Give prob of picking 1 q and 1 v.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q**2 - 4*q + 8*q - 4*q + 15*q**2 - 2 to the form w*q + o*q**2 + n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 15*r**2 + 64*r - 24. Let d be l(18). What is the least common multiple of 6 and d + -1*(6 + 2 - 2)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -958, -960, -962, -964, -966, -968?\n\"Answer: -2*v - 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1 = -f - 2, 4*b = 20. Suppose -4*t + f = -t. Solve -4*z - 3*q + 6*q = 31, 0 = t*z + 2*q + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) - 1224\/(-108). Suppose -v = -3*b + 2*v + 1275, 3*v = g. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-6))\/v**(-1)*v**(5\/2)*v*v**5)**36 assuming v is positive.\nAnswer: v**630","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-60)*((-3)\/2 + 0). Let q = -0.3 - 0.2. Let x be (-7)\/(-4) + 8\/(-32). Put x, m, q, -3 in increasing order.\nAnswer: -3, q, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 50033 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, m: 4, z: 1, e: 2, s: 2}. What is prob of sequence sea?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mccnmgmggggcmmmni. What is prob of sequence nm?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekkekkkgkk. What is prob of sequence eg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 p when three letters picked without replacement from {g: 3, l: 11, p: 4}?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 4:02 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from gbggmmgggyyigigmgib?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2591749 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -51. What is the second biggest value in p, -4, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/11 + 128*p**4\/11 + 127*p**3\/11 = 0. What is p?\nAnswer: -127, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k = 35*k - 12. Let c be (-8)\/(-3)*k*(-15)\/(-10). Solve -3*n - 2 + c = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18492 + -3.\nAnswer: -18495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microsecond in nanoseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/((-8)\/84*18\/48)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d = -14*d - 228 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51089789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -42?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 5 = 10*f. Suppose f*c - 6*c = 2*c. Let w(u) = u**3 + u**2 - 3. What is w(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -1. Let w be -7*2*b\/(-2). Suppose 4*a + w = 27. Solve p = -3*p + a*u - 24, -u = p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1127*y**2 + 6 + 560*y**2 + y - 3 - 6*y**4 + 7*y**3 + 559*y**2 to the form f*y**3 + m*y + w*y**4 + s*y**2 + t and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4\/4 - 93*d**3\/4 + 765*d**2\/4 - 675*d\/4 = 0. Calculate d.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 13, 11, -2, -3, -0.4, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -31. Let m = q + -22. What is the units digit of 38 + m*(-3 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 40 = -19*b. Sort b, -2, 6, 1\/4.\nAnswer: -2, 1\/4, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6808 + -6806. Which is the closest to 3? (a) -3\/2 (b) -0.2 (c) g (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1940154?\nAnswer: 2, 3, 323359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*r**4 + 714*r**3 - 5973*r**2 + 7224*r - 1980 = 0. What is r?\nAnswer: -55, 2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b9661c1 - 4?\nAnswer: 3b9661ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140\/(-8)*(-120)\/14?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155 + -159. Which is smaller: -7 or u?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 5\/4, -462?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149139179 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 606941 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6669 a factor of 382440474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-2)*((-121)\/11)\/(-77). Which is smaller: q or -0.101?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (sqrt(7) + -1 + sqrt(1008)) - (4 + (-1 + sqrt(7))**2).\nAnswer: -10*sqrt(7) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h*o**2*s**2*w**3 + 2*h*o**2*s*w**2 + 43*h*s**2*w**2 + 4*h*w + 68953*o**2*s*w**3 - 26*o**2*w**2 wrt w.\nAnswer: -6*h*o**2*s**2 + 413718*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254175 divided by -50835.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 0. Suppose -5*d + t = -4. Let j(v) = 7*v**2 + 4. What is the tens digit of j(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -5\/76, -2\/3, 35, -0.3, -2\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*d + u, -2*d = -0*d - u + 4. Differentiate -3 + 4 + 15*q + d - 5 with respect to q.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 46, -0.7332, 2\/13, 4?\nAnswer: -0.7332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**4\/26 - 4*g**3\/39 - 4*g**2\/13 + 16*g\/13 - 10. Determine r, given that j(r) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17531 less than or equal to 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2\/r)\/(r*r\/(r*r**4\/r)))**49\/(r**(-1\/8)*r*r*r*(r\/(r**(-3\/11)\/r))\/r*r)**(-1\/52) assuming r is positive.\nAnswer: r**(673125\/4576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 + 26*n\/3 - 8.\nAnswer: -2*(n - 3)*(n - 1)*(n + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 46.87393um?\nAnswer: 0.04687393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.773 + -1.227. What is the biggest value in -19, c, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 14. Factor -2 + 2 - 10*x**4 + c*x**3 + x**3 - 14*x**5.\nAnswer: -2*x**3*(x + 1)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. Let o = 7 - 3. Let u = -3 - -3. Which is the second biggest value? (a) g (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doddodoooayyyud. Give prob of picking 1 u, 1 a, 1 o, and 1 d.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h - 22. Let w be f(-3). Suppose 121 + 13 = 5*l - n, w*l - n = 56. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64035 - 38693. List the prime factors of b.\nAnswer: 2, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m**3 - 6*m**2 - 9*m + 32. What are the prime factors of a(5)?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1041 + 225?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -58, -0.052, -0.5, 0.3, 0 in decreasing order.\nAnswer: 0.3, 0, -0.052, -0.5, -10, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(405) + 1 + sqrt(405))*4 - (sqrt(405) - (0 + sqrt(405))*-1)))**2 + (sqrt(220)\/(sqrt(22)\/sqrt(2)))\/(-3*sqrt(16))*5.\nAnswer: 64795*sqrt(5)\/6 + 364900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6358238 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1044077?\nAnswer: 137, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l - 1. Let k be r(-3). Let p be 1 + k\/(-1 - -2). Suppose -2*j + 85 = 5*i, -2*j - p = -i + 8. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*l - 874086 = 480706. List the prime factors of l.\nAnswer: 2, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**2 + 4*c - 4798. What is f(35)?\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -207 + 577. What are the prime factors of h?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*i**2 + 11 + 20 - 31 + 970*i**2.\nAnswer: 748*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.661978 minutes in weeks?\nAnswer: 0.0088950375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/((-108)\/(-32)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 242*l**2 - 268*l - 3219. Give o(-120).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -928*c**4*o - 20*c**4 + 2*c**3*o + c**3 - 81*c**2*o - 3225*c*o wrt c.\nAnswer: -22272*c*o - 480*c + 12*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.016125 and 1.\nAnswer: 1.016125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeee when four letters picked without replacement from {q: 5, e: 7}?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**5\/20 - 17*t**4\/24 - 34*t**2 + 2*t + 9. Let n(l) = 6*l**2. Calculate v(n(c)).\nAnswer: 108*c**4 - 102*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010000001100111010101 - -10?\nAnswer: 1110010000001100111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*u. Let k be (-3)\/1*(-1 - u). Is 14 a factor of 1*78\/k - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*b - 2129850 - 543069 - 791049. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 548\/(-8)*(18796\/(-629) - (-2)\/(-17)). What is the greatest common factor of 548 and j?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3704440 at least as big as -3704439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14785, -59142, -133069, -236566, -369633?\nAnswer: -532270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**2 - q + 15. Let b(m) = 4*m**2 - 8. Let x(g) = -5*b(g) - 3*y(g). Let p be x(-5). Solve -3*l + 4 = -p*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 616, 2, 4, -223.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -5. Let r be (m + 2 + -3)*20\/(-8). Solve r*y**2 + 4*y - 2*y - 6*y - 8*y + 12*y**3 = 0 for y.\nAnswer: -4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + (5 - (9 + -6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 660454 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 785550 (base 10) in base 8?\nAnswer: 2776216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -65, -159, -293, -467, -681, -935?\nAnswer: -1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 153*i**2 + 20*i + 11. Let t(u) = -51*u**2 - 7*u - 4. Let q(w) = -6*j(w) - 17*t(w). Let f be q(1). Round f to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.998 (b) 2 (c) 1\/11 (d) -182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1)*g)**(3\/4)*g\/(g\/(g\/(g\/g**(-4))))*g*g*g\/g**3*g)\/((g**1)**(5\/2)*(((g**6*g*g*g)\/g)\/g)\/(g\/g**3)) assuming g is positive.\nAnswer: g**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16120 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a**2 - 3*a**2 - 5*a**2)*(-55*a + 55*a + 32*a**2) + 0 + 0 - a**4 in the form b*a**2 + j*a**4 + l + o*a + y*a**3 and give j.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**3 + 3*l + 1. Let g be i(-1). Suppose 2*o - 6 = 0, -2*d = -g*d - 2*o - 101. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -3a?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220598385?\nAnswer: 3, 5, 7, 43, 48859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 + 4*h**2 - 6*h. Suppose 2*x = -0*x + 2. Let j(l) = l**3 + l**2 - l. Give x*a(n) - 4*j(n).\nAnswer: -2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 856, 1653, 2452, 3253, 4056?\nAnswer: 4861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 13.56. Let p = 4.56 - a. What is the biggest value in -1\/2, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38264754 a multiple of 3058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1933143153.613 - 0.56?\nAnswer: -1933143154.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2281675454?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1555917 divided by 56\nAnswer: -1555917\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from twttttggdgxtdtggt?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-9)\/6*(-56648)\/(-292))\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2)*((-2 + 4 + 0)*(2 + 0 - 3) + 4 - 3 - 2 + (2 - 5 + 1)*(-1 - 3 + 2) - 3 + 4 - 3 + 2 + 2 - 3 + 2 + 0 + 0)*(-3*y + y - 2*y).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g - 16*g - 207 = 513 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002089828618 to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*j - 6 = -59*j. Suppose 3*f - 66 = -0. Let z = -27 + f. Put j, z, -3 in descending order.\nAnswer: j, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*q - 86*q + 35532 = 0. Is -986 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**3 + a**2 - a + 3. Let r(h) = 18*h**3 + 46*h**2 - 7*h + 14. Calculate -r(z) + 5*s(z).\nAnswer: 2*z**3 - 41*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 391 * 125.21.\nAnswer: 48957.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-18) + (-48)\/(-27). Suppose -o*t = -0*t. Solve -u - 8*m = -3*m + 3, 5*m = t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 1816926.\nAnswer: 3633852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2)*(k\/(k**3*k))\/k)**(1\/11))**(1\/12) assuming k is positive.\nAnswer: k**(-3\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11*964\/19 + 14\/(-133)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = a - 90. Let y(q) = 2*q + 1. Let v be y(1). Solve 5*f + v = 4*h + 15, 2*f + h - a = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1756 = -4*w, 4*w - 451 + 32 = -h. What are the prime factors of h?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + -4*-6*(sqrt(3) + 0).\nAnswer: 9 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 5:39 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1303 - -1306. Solve 3\/2*q**2 + 3\/2*q - 3\/2*q**u - 3\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-43)\/(-9) - (-8)\/36. Let v(l) = l. Let f be v(3). Suppose 0*w = -3*t - f*w + 12, i*t - 2*w - 27 = 0. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 7*a**2 + 9*a. Calculate the least common multiple of 9 and n(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 72078.\nAnswer: 72078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 0.1. Let l be ((-9)\/(-42))\/((-3)\/4). Put 0.5, c, l in decreasing order.\nAnswer: 0.5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 9:52 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7392.257 litres to millilitres.\nAnswer: 7392257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, 83.2, 111, -1, -2\/15.\nAnswer: -1, -2\/15, 0.3, 2, 83.2, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34\/1383 + 114517\/11064. Calculate the common denominator of m and (-2)\/(-5) - 94\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 5. Let u(q) = q - 9. Let g(d) = 5*p(d) + 2*u(d). Let i(x) = 10*x - 22. Let t = -40 + 45. What is t*i(j) + 16*g(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 21*g + 13. Let d be o(4). Let b be -4 + d - 3 - -1. Suppose -79 - b = -5*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*w**2 + 0*w - 405*w**2 + 0*w.\nAnswer: -670*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c = -2*q - 15, -3*c = -9. Let m be -3*((-416)\/q)\/4. What is the common denominator of 59\/18 and (42\/4)\/((-6)\/m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1614 divided by -156\nAnswer: 269\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u. Suppose 0 = 3*r - 6*r + 6. Let c(w) = 17*w**2 - 4*w**2 + 36*w**2 + 6*w**r. What is m(c(k))?\nAnswer: 110*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**4 - 56*t**3\/3.\nAnswer: 2*t**3*(9*t - 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*m**2 - 40*m**2 - 2*m**3 + 4*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*v = -75, 0 = 5*y + 7*v - 3*v + 95. Let r(w) = -w**3 - 15*w**2 - 4*w + 18. Is 2 a factor of r(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = 13*x - 2610. Suppose -74*r = -x*r + 112. Solve 4 = -2*w + 2*d, -3*w - 2*d + r*d - 6 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 4 + 2*y + 0)*(2*y - 2*y + 4*y**3 - y**3 + 5*y**3 + y**3 + (0 + 2*y**2 + 0)*(-3*y + 0*y + 4*y)).\nAnswer: 33*y**4 + 44*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.5. Let x be (-5)\/18 - (-1 + (-66)\/(-54)). Let b = -14 - -10. Put x, b, s in ascending order.\nAnswer: b, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 7. Let y be ((-11)\/3)\/((-6)\/(-18)). Let t(r) = -7*r - 13. What is y*a(u) + 6*t(u)?\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-242*j**4 - 4357*j**2 + 4357*j**2)*(0 - 3 - 4).\nAnswer: 1694*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from kkkkkkkkrrrkrkkkrrr?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 191*b - 1296. What are the prime factors of h(41)?\nAnswer: 5, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 10:23 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.76 + -2.65. Let j = 0.11 - y. What is the third smallest value in j, -0.1, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -4001?\nAnswer: -4010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -10.99.\nAnswer: 6.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*w**5 - 3*w**4 + 161*w**3 + 30*w**2 + 2030 wrt w.\nAnswer: 3480*w**2 - 72*w + 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**6\/720 - s**5\/30 - s**4\/12 - 19*s**2. Let c(b) be the second derivative of x(b). Let m(v) = 1. Give c(p) + 3*m(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*z - 10 = -3*q, -5*q = -5*z - 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(3)*2)**2 + sqrt(48) + 0 - (0 + -3 + (-1 + sqrt(300))**2).\nAnswer: -277 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3415.3192 at most 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 0 + 216\/6. Let j be ((-5384)\/h)\/(1\/(-4)). Let s = j - 4703\/7. Which is bigger: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477 + 477 + 953342*j**2.\nAnswer: 953342*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v - 3. Let m(r) = r**2 + 5*r - 3. Let n(p) = 2*m(p) - 3*z(p). Is 9 a factor of n(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 57, 139, 251, 375, 493, 587?\n\"Answer: -3*n**3 + 33*n**2 + 4*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 6*l - 4. Let x be t(5). Let r be (4\/(-3))\/(-2)*-3. Let k = -20350 - -20358. What is the nearest to x in r, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 8. Let c(t) = -t**2 + 8*t - 9. Let x be c(6). Suppose 2*o = 13 + x. Calculate the least common multiple of n(6) and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2010396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2601090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-135)\/(-12) + 24\/32. Suppose -r*m + 1500 = -2*m. Suppose -m = -3*x - 2*x. Calculate the highest common factor of x and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042181.\nAnswer: 7, 21269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0. Let y = -3.8344 + -0.1656. Let t = -0.9 - -0.5. Sort t, l, y in descending order.\nAnswer: l, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/48*(-15)\/10*24\/40.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-456)*(1976\/(-39))\/19.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 2*w - 2. Let l be (7 - 6) + 3\/(-1). Let j(f) = -7 + f + 4 + 4. Let h(p) = l*j(p) - k(p). Let m(t) = t. Give h(m(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 794987.181 and 0.2?\nAnswer: 794986.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 25\/2 of a millisecond?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((6*(-3*sqrt(220) + sqrt(220)))\/(sqrt(5) - (sqrt(245)*6 - sqrt(5))) + -1)*1)**2.\nAnswer: -30*sqrt(11) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 10:06 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*z = -64, -4*f = -3*z + 22 - 105. Let o be 200\/6*(-24)\/(-10). What is the highest common divisor of f and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -556045 (base 8) in base 9?\nAnswer: -315084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77135 + -5399277\/70. Let u = -29\/14 + b. Factor 1\/5*o**2 - 1\/5*o**3 + 0 + u*o.\nAnswer: -o*(o - 2)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 553, 1619, 3195, 5281, 7877?\nAnswer: 10983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b + 4*b + 0*b. Suppose 9*j - 6 = 6*j. Let m(c) = -c - c - j*c - c. What is t(m(p))?\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*y - 88654 = -1668*y + 34352 for y.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**5\/4 - 15*z**4\/2 + 5*z + 195. Find t, given that k(t) = 0.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 152, 586, 1316, 2348, 3688, 5342?\n\"Answer: p**3 + 142*p**2 + p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/60*-4)\/((-26)\/65)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 12:15 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-1))\/(1400\/1120).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8\/9, 2\/7, -0.1, -0.4, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((77\/2079)\/(2\/(-9)))\/(1\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*370.51\nAnswer: -148.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**4 + 0*y**4 - 4*y**4 + 2*y**3 - 2*y**4 - 2*y**3 + (-2 + 2 + 5*y)*(-22*y**3 + 25*y**3 + 7*y**3).\nAnswer: 39*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -190, -482, -994, -1786, -2918, -4450?\nAnswer: -6442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from zzzy.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 9*b**2 + 6*b + 2. Suppose -3 = -3*u, -5*y - 41 + 1 = -5*u. Give r(y).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1247423 (base 9) to base 12.\nAnswer: 28a293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3)\/(v\/(v**(4\/21)\/v)))\/(v**18\/v**(-12)))**(-23) assuming v is positive.\nAnswer: v**(15686\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16494 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 14. Let j = 3 - f. Solve 2\/7*h**2 + j + 4\/7*h = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5\/2 + 1799*k**4\/2 + 402274*k**3 - 2066482*k**2 - 14644872*k = 0. What is k?\nAnswer: -902, -4, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*m**2 - 8\/5 - 6\/5*m.\nAnswer: 2*(m - 4)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/(8 - 190\/20).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 4*i**2 + 4*i - 7. Let b be l(-5). Let n be (b - -1)\/1 - -3. Suppose -o - 2*o - 9 = 3*s, n = -2*s. Let g(v) = -v**3 - v**2 - 2. Give g(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2. Let q(o) be the second derivative of -11*o**3\/6 + 34*o. Calculate b(q(d)).\nAnswer: 484*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (11 + 30\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 122189269, 244378540, 366567811, 488757082, 610946353, 733135624?\n\"Answer: 122189271*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*n + 292*n - 876*n + 293*n + 2*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 172\/30*22\/1012 and -43\/18.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253 + 2781\/11. Let m be ((-6)\/(-20))\/(3\/(-4)). What is the nearest to 1\/2 in 0.3, y, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 121 = z + z, z - h = 50. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109905 divided by -6.\nAnswer: 36635\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*a - 6*a. Suppose -3*m = 2*p - 19, 0*p + 2*m - a = -p. Solve -4 = -d - 2*d - 2*v, -3 = -p*d - v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a hour in seconds?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*m**4 + 2*m**2 + 2014 wrt m.\nAnswer: -188*m**3 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -13 - (-34 + 24).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117 + -386. Let c = d + 412. What are the prime factors of c?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*t**2 - 4\/5*t + 0.\nAnswer: -2*t*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1525 = 66*q + 865 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.2 (b) -1.8 (c) -0.13 (d) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.9 + -11.9. Let q = -8.1 - -8. Let f be 2\/(-8)*(-16)\/14. What is the second biggest value in i, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 161147.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 5*l**2 - 9*l + 32. Let s be t(6). Solve q + 3*x = 16, -4*q = 3*x - 14 - s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.8139 - 16.542778. Let a = -0.271 + d. What is a rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-146)\/50 + 3 - 2313773\/(-25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z + 83*z + 8*z in the form v + c*z and give c.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((1065\/(-116440))\/(9\/(-40)))\/(60\/72)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(40)\/(((sqrt(168)\/sqrt(3) - sqrt(56)) + sqrt(56) + sqrt(56) - sqrt(56))\/sqrt(7)) + -4 + 0 + sqrt(5) + 3 + -5).\nAnswer: -6 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8748 and 5988816.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 7*t + 2. Let d be k(7). Let s(z) = 0*z + 3*z - d*z + 1 - 2*z. Calculate s(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07292 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/203 - 8712\/(-174). Calculate the highest common divisor of 120 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/259433 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w - 14. Let g(b) = -3*b - 13. What is -5*f(o) + 6*g(o)?\nAnswer: -3*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -41983288 * 1\nAnswer: -41983288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271768, -272840, -273912?\nAnswer: -274984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 10 = 3*t, f = 5*t + 2*f - 22. Let r(b) = 28*b**2 - b - 1. Is r(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52259, -34, 4 in increasing order.\nAnswer: -34, 4, 52259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165056 and 612?\nAnswer: 25253568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 2*o**2 - 2*o + 2. Let n be s(0). Factor n - 10 - 3186*v - 4*v**2 + 3198*v.\nAnswer: -4*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i = 30*i - 20. Which is the biggest value? (a) 0.5 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - -18. Let l = -64 + t. Suppose -30*q - l = -31*q. Find the common denominator of 8\/9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -212.0201723 - 3.0284577. Let d = 0.05137 - m. Let r = -203 + d. What is r rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(16*s**2 - 18*s**2 + 3*s**2 + 99).\nAnswer: -2*s**2 - 198","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001065323 rounded to 6 dps?\nAnswer: 0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31064*s**2 + 153001*s**2 - 58642*s**2 + 90604*s**2.\nAnswer: 216027*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7717 is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*v - 3*v + 18 = 0, 0 = 4*j - 3*v - 46. Suppose -1 = 3*r - 7. Solve r*t + 2*s - 7*s = 14, j = -5*s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -250\/27? (a) 5 (b) 0.4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12597 divided by 969\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2*f + f + 7 = 0, 4*f - 18 = 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -19132.52 not equal to 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*y - 6*y + 411 - 4*y - 38 + 159 - 14*y**2 wrt y?\nAnswer: -28*y - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6)*(3*a**2 - 3*a**2 - 2*a**5 + (a**3 + a**3 - 4*a**3)*(-96*a + 3*a**2 + 96*a)).\nAnswer: -16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 1:33 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**3 - 2*c**2 + 2*c - 1. Let u be l(1). Suppose u*q - 71 = 59. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11300240 + -131?\nAnswer: 11300104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65846 + -65255.58. Let p = 605 - k. What is p rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4623 and 319056?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3927 divided by 561?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 + 4 - 36*t**4 + 109*t**4 - 3 - 225 wrt t.\nAnswer: 292*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**3\/3 - s**2\/2 - s. Suppose 0 = 4453*b - 4455*b - 4. Determine j(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*b - 121 - 680, -165 = -b + 5*l. Suppose b = d + 3*d. Suppose -h - d = -6*i + 2*i, -3*h = 0. Calculate the greatest common divisor of i and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 7:57 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9049 (base 16) to base 4.\nAnswer: 21001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*m - 2 + 43*m + 1 - 7.\nAnswer: -3*m - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 14*h + 280. What is c(15)?\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14279, -5, 2, -705.\nAnswer: -14279, -705, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 2. Let s be c(3). Let x = s - -19. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (3 - (-1 - -4)) - (106 + -112)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4\/17 + 32696*m**3\/17 - 182815500*m**2\/17 + 373568350904*m\/17 - 134211056800898\/17 = 0?\nAnswer: 451, 5299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 1\/9 (c) -64090\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -2*h**3\/3 + 7*h**2\/2 - 26*h + 917. Calculate m(5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 equal to 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.70531 meters to micrometers.\nAnswer: 57705310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1749059409?\nAnswer: 3, 137, 4255619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2, -4, -0.3, -1\/3, 8, -0.02973?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 133 = 149. Suppose -y - 3 = 0, -5*q - y - 32 + 129 = 0. What is the greatest common factor of p and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/13)\/((0 + 5)*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 4*r**2 + 3*r - 17. What is z(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 2\/7 (c) 1\/33 (d) 1\/4 (e) 2580\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 4:02 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935291.\nAnswer: 7, 53, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 + 794 = -3*m + r, 5*r - 25 = 0. Let q be 3\/12 + m\/(-12). Let v = -5 + q. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 924 + -928. Let x = -8 + 10. Is h less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -65\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**5\/5 - 5*r**3\/3 + 10. Find the third derivative of i(b) wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 57, 92, 131, 174, 221?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7182 is divided by 2393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 10:02 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -13*p. Let b(w) = -3*w + 3. What is b(t(k))?\nAnswer: 39*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**3 - q - 2. Determine b(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 4*g + 18, 4*s - 39 = g - 15 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 11*v**2 + 13*v + 15. Let u be h(-12). Suppose -4*j + u*z + 2*z + 26 = 0, 2*j - 4 = -2*z. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.04726 days to minutes.\nAnswer: 59108.0544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9591*s - 143848. Calculate z(15).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 2:23 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90*o**3*y**4 + o**3*y**2 + 4*o**3*y - 107494*o*y**4 - 3927*o*y**2 - 3*y**2 + 2*y wrt y?\nAnswer: 2160*o**3*y - 2579856*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3))**16)**8\/((f*f*f**(-2\/11)*f*f)\/(f\/(f*f**(3\/4))))**(-39) assuming f is positive.\nAnswer: f**(17885\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*q + 46, 2*q = -3*d + 7*d - 98. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**3 - s**2 + s + 2. Let f(a) = -a**3 + a**2 - 9*a - 2. Let w(p) = f(p) + r(p). Let h(v) = -v**3 + v. What is 6*h(c) + w(c)?\nAnswer: -2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4173?\nAnswer: 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3498*k + 187 = -3295*k - 219 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 890 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h + 8*h**3 + 7*h - 2*h wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 253*n**2 + 223*n**2 - 4*n + 0*n**3 + 3*n**3 - 478*n**2 - 2*n**3 - 71 in the form s + k*n**3 + m*n**2 + r*n and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 2*c**7\/21 + 7*c**6\/30 - 3*c**5\/20 - c**4\/3 - 109*c**3\/6 + 351*c + 10. What is the third derivative of u(z) wrt z?\nAnswer: 240*z**2 + 168*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1631*g**2. Let x(d) = 2860*d. Give x(r(v)).\nAnswer: -4664660*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.904 + -10. Let z = w - -0.0529. Let a = z + 0.041. Round a to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w*x**4 + 2943*w*x**3 - 146*w*x - 3*w + 16*x**3 - 19*x**2 wrt x?\nAnswer: -24*w*x + 17658*w + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 332449912 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5628782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0697 - -0.069383. Round k to 5 decimal places.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**5 - 84*u**4 + 196*u**3 + 244*u**2 - 720*u + 368 = 0.\nAnswer: -23, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -413 + h**2 - 3*h**2 + 51 + h + 121 in the form a*h**2 + f + l*h and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 34*c + 71. Suppose 0 = 4*d - 3*t - 63, 4*t - 3*t = -5. Calculate the remainder when d is divided by r(32).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -48340374?\nAnswer: 48340369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(108)\/sqrt(9)))\/(-2*sqrt(28)\/sqrt(7)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -135.1 (b) 0.1 (c) 6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2361, -968, -4295, -7620?\n\"Answer: i**2 - 3332*i + 5692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-4)\/8) - -2. Suppose 2*t - 153 = -7*w + 2*w, -5*t - 4*w + 408 = p. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 9 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 1. Let g(z) = z**3 + 5*z**2 - 3*z - 4. Let w be g(-5). Let n be (-2)\/11 + 2\/w. Are x and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzxylpf. Give prob of sequence zy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -262843117*u**2 + 361*u + 470051 wrt u?\nAnswer: -525686234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*t - 5*b, 5*b = 15*t - 18*t + 10. Let y(g) be the third derivative of 0 - 4\/3*g**3 - 40*g**2 - 1\/60*g**5 + t*g + 5\/12*g**4. Determine y(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 4*n = 3*k + 647, -637 = -3*k + 2*n. Suppose -2*s - 116 = -2*c, c - s = -4*c + 294. Suppose c = -5*u + k. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 58 = -8*g. Let k(x) = -g*x**2 + 23*x**2 - 3*x + x**3 + 5*x. Is k(6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -156, -313, -496, -717, -988?\n\"Answer: -2*o**3 - o**2 - 140*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7163388 less than -7163387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from rrmmammar?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 3 + 4)*(1 - 2 + 3)*(-3*k - 3*k + 3*k)*(3 - 6 + 0).\nAnswer: -126*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(99)*-3).\nAnswer: -sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 5*s + 2*s)*(-11 + 1 - 13)*(11*s + 21 - 21) in the form h + k*s + m*s**2 and give m.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-9 - (-21 - (-5 - -9 - 2)) - 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/7)\/r**6*(r*r**1)**(-41))**15 assuming r is positive.\nAnswer: r**(-9195\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11358715 divided by -24?\nAnswer: -11358715\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -38.64929 and -489540.6?\nAnswer: 489501.95071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22\/19, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 54\/(-162) + (-32)\/30 + 2. Let t = 91 + -62. Put 1\/6, t, z, -0.4 in descending order.\nAnswer: t, z, 1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.277556 to 2 dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 12*g + 40 = 0. Suppose 4*z - n - 94 = -g, 2*n = -4*z + 92. What is the remainder when 64 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*q - 8, n = -2*n + q + 2. Let j = -0.354 + -0.046. What is the nearest to n in -6\/5, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.05554.\nAnswer: 0.011108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + ((-708)\/96 - -5).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 3*z - z)*(328*z + 2*z**3 - 328*z).\nAnswer: -14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 15, 1 in increasing order.\nAnswer: -2, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 1*sqrt(243) + -1)**2 - ((sqrt(243) + 0)**2 + 5)) + ((sqrt(243) - (3 + sqrt(243)*1)) + sqrt(243) + sqrt(243)*-1 + 1 + sqrt(243))**2 + -5.\nAnswer: -72*sqrt(3) + 967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 161 = i, 0 = -3*i - 6 + 9. Does 32 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021308706 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**2 + 38*g - 18. Determine t(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -187, -737, -1649, -2917, -4535?\n\"Answer: j**3 - 187*j**2 + 4*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(605))**2 + 3.\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -20002?\nAnswer: -20000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by (-61845)\/(-1045) - (-4)\/(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(33)\/sqrt(3))*4)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 10:08 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 141*x - 1453. Calculate m(11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13 - ((16 + -4 - 46) + 1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 8\/5*z**4 + 2\/5*z**5 + 8\/5*z**2 + 2\/5*z + 12\/5*z**3.\nAnswer: 2*z*(z + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 78*l - 152. Let v be c(-6). Let u = v + 624. Solve -u*x + 2*b = 28, -5*x - 3*b + 4 - 17 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 513 = -4*l, 0 = o + 2*l + 2*l - 179. Let m = o + -113. Calculate the greatest common factor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 151 or 8242\/55?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v - 4*t + 80 = -41*v, t = -14*v - 205 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 6:33 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/165 and 24 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.7216 - -3.0216. What is the closest to 1 in j, -0.006, 4, -35?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 405, 785, 1165, 1545, 1925?\nAnswer: 2305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2622846.\nAnswer: 2, 3, 437141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8789.\nAnswer: 11, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1777697790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -49, 0.16584, 0.133, 5?\nAnswer: 0.16584","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7759 + 7764. Let p(a) be the first derivative of 0*a + 0*a**3 - 14 + 0*a**4 + 27\/2*a**2 - 14\/5*a**t. What is the second derivative of p(i) wrt i?\nAnswer: -168*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 197196 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 - 27 = 13*t. Let z(f) = f**3 + 7*f**2 - 8*f - 5. Give z(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 3:50 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 28. Solve z = -6*g + g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 459, 5, 14, -1, -1364.\nAnswer: -1364, -1, 5, 14, 459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 + -60.1. Let u = 0.3 - 0.1. Which is the biggest value? (a) y (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71396, -71393, -71384, -71369?\nAnswer: -71348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2092670 to the nearest ten thousand.\nAnswer: -2090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**7)**30\/((d*d\/d**(-13)*d)\/(d*(d*d**(-3))\/d*d*d*d)))**(-4\/27) assuming d is positive.\nAnswer: d**(-260\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -20*v**3 + 222*v**2 - 2*v + 9. Let n(x) = -31*x**3 + 331*x**2 - 3*x + 14. What is 11*b(y) - 7*n(y)?\nAnswer: -3*y**3 + 125*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 437025671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24065, -24236, -24409, -24584, -24761?\n\"Answer: -d**2 - 168*d - 23896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h = -214*h - 2480 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p**2 + 5*p - 10. What is the units digit of f(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21284577 is divided by 238?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8939054 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44547 and 225.\nAnswer: 3341025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001186 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.93 + 0.07. Let y = -94 + 105. Suppose 19*l = -y*l + 60. Sort q, -23\/4, -1, l in descending order.\nAnswer: q, l, -1, -23\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461490808?\nAnswer: 2, 57686351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056434998.\nAnswer: 2, 19, 27800921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -23. Let c be (2*(-6)\/16)\/(35\/20). What is the closest to h in c, -0.2, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 6*i**2 + 5*i - 1. Let y be x(5). Let s = y - -4. Solve -9 = -s*q + 3*v, -3*v + 2*v - 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/5 and -276583984 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 85*p**2 - 126*p + 9805. Determine q(-82).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*s - 393*s - 295*s + 58020 - 170*s.\nAnswer: -666*s + 58020","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2427, 2426, 2425, 2424, 2423?\nAnswer: 2422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6)\/(231\/26334)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0 = 3*f - 12, 16 = 4*z + f. Suppose -g = -2*b - 13, 9*g = 5*g - z*b + 4. Put g, 0.4, 6\/7, 2\/3 in decreasing order.\nAnswer: g, 6\/7, 2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**2\/2 + 141693*t\/2 - 134460375 = 0. What is t?\nAnswer: 1981, 45250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 4) in base 10?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 plus -493443.4157?\nAnswer: -493433.4157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 + 948?\nAnswer: 947.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 2) + -8 - (4 - (2 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 520 (b) 5 (c) 15 (d) 0.2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (sqrt(112) - (sqrt(112)*1*-4 + sqrt(112))))\/((sqrt(72) - 1*sqrt(72))\/sqrt(9) - sqrt(8)))\/(-4*sqrt(2)*3 - 4*(sqrt(2) + sqrt(14)\/sqrt(7))).\nAnswer: -3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b9963b (base 12) to base 4.\nAnswer: -112212311033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 478 + m**2 - 478.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6383\/78)\/(1\/6). Let d = o + -329. What is the remainder when d is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 4)*(-3 + 5 - 4) - 2 + 1 + 2)*(3*y**3 + 1979*y**2 - 983*y**2 - 988*y**2).\nAnswer: 9*y**3 + 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -287 + 369. Let u = 90 - w. Solve 6 = h + u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -7*j + 9*j. Is 1692\/45 - 6\/j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 4. Let l be 3 + 5 - -3 - ((24 - 13) + -1). Which is the closest to l? (a) -1\/6 (b) 0.34 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Suppose -34 = -5*g + f*c, 0 = 4*g - 3*c - 2*c - 34. Find the second derivative of -7*z + g*z + z**5 - z wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 3*o**2 + o + 3. Let f(w) = -2*w**2 + 5*w + 7. Let i be f(5). Let z = -15 - i. Calculate k(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/265 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8*y**2 + 20*y + 7. Determine t(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f - 7. Let p(b) be the second derivative of -5\/6*b**3 + 17*b + 0 + 3*b**2. Let d(w) = 7*p(w) + 6*z(w). Let q(s) = s. Determine d(q(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (25 - 3 - (14 - 0))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1070 = 7*x + 64. Is x greater than -164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 6)*(25*r - 7*r - 8*r)*(r + 0*r - 6*r) to f + l*r**2 + b*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -692114.53 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -1 - (-34)\/(-1). Let q = -249157 + 249157.1. Which is smaller: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**3\/6 - 3*s**2\/2 + 2*s + 10158. Let b(g) = g - 1. Let r be b(2). Determine h(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 3 + 7, 5*f = -u - 57. Let g be ((-156)\/(-40))\/((-2706)\/9020). Which is smaller: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:34 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2352154 (base 8) to base 15.\nAnswer: cad1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17709, 17707, 17705, 17703, 17701, 17699?\nAnswer: 17697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(54)\/sqrt(3))\/(sqrt(96) + sqrt(96)*1*6).\nAnswer: -4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -15*a**2 + 6 + 280*a + a**3 - 289*a + 18*a**2. Let n be y(2). Calculate the highest common factor of 384 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/40)\/(2 + (-26)\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-8 - -47) + -15 + 60 + 1?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2719990, 2719740, 2719492, 2719246?\n\"Answer: r**2 - 253*r + 2720242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20049808.\nAnswer: 2, 31, 40423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**3 + 698980*k**2 + 24397167545*k - 2201410462050 = 0.\nAnswer: -69943, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1895, 2113, 1165, -1531, -6557, -14495?\nAnswer: -25927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 9 - 7*n**2 - 4 + 1 - 17 + 12*n. What is the hundreds digit of i(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 11:45 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/2674127 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00448 * -3.\nAnswer: -0.01344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1883452 is divided by 470863?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 14 - 1 = 0. Let r(f) be the third derivative of -f**5\/10 + f**3\/2 - 3*f**2. Let a(l) = 11*l**2 - 5. Determine q*r(o) + 3*a(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -17*x - 64. Give q(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8971286, -8971291, -8971300, -8971313, -8971330, -8971351, -8971376?\nAnswer: -8971405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 213\/1102 - 20161\/115710. Let r(j) = -j**2 - 6*j - 5. Let a be r(-5). Which is smaller: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -18 + 18 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/20*-3*4\/(-36).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**4\/(i*i**(-4\/9)*i))\/(i**2)**(-2\/3))\/((i\/(i**(2\/19)*i)*i)\/i*i**(-1\/11)*i*i*i**(8\/3)\/i*i**(-8)*i*i*i) assuming i is positive.\nAnswer: i**(9983\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - -259516 - 4\/(((-20)\/6)\/5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3433 is divided by 251?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, e: 2}. Give prob of sequence dee.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -569cd?\nAnswer: 569cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 205*d + 17005. Give j(-83).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**5\/120 + t**4\/3 - t**3\/3 - 2*t**2. Let w(j) be the first derivative of n(j). Suppose m + 15*m = 8*m. What is w(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9148800 to the nearest 100000.\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let g(i) = 2*i**2 + 4*i. Let t(y) = -g(y) + 4*j(y). Let w(k) = 20*k. Calculate t(w(f)).\nAnswer: -800*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3588200 rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, -7012, -1.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.58 - 1.48. Which is smaller: z or 27?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4\/15 - 14228*c**3\/15 + 8850328*c**2\/5 - 4382659952*c\/15 + 17106734144\/15 = 0. Calculate c.\nAnswer: 4, 178, 3466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -18*s + 21*s. Let a(t) = 3*t + 13. Let p(v) = 10*v + 38. Let f(b) = s*a(b) - 4*p(b). Let k(r) = 10*r + 13. What is -7*f(q) - 5*k(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 67 + 4*g - 2*g - 4*g**3 - 63 - g**2. Calculate the remainder when 33 is divided by a(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -1 + -3 + 2. Suppose 3*v - 23 - 13 = x. Suppose -68 - 42 = -5*c. What is the remainder when c is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2. Let m(h) = -8*h + 72. Let v be m(9). Let q(y) be the third derivative of 5*y**2 + 0 - 1\/24*y**4 + v*y**3 + 0*y. What is q(i(t))?\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 519 or 521?\nAnswer: 519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (8 - (1 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*b**3 - 11*b + 1 - 2*b**3.\nAnswer: -6*b**3 - 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**6\/40 + 3*p**5\/80 - p**4\/8 + 49*p. Factor d(q).\nAnswer: 3*q**2*(q - 1)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a8 (base 11) to base 2\nAnswer: 101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36 - 84*p - 81 + 43 + (-3*p + 3*p + 18*p)*(-1 + 3 - 4).\nAnswer: -120*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -2. Suppose 0 = 4*u - x*s + 1782, 5*u + 2218 = -0*s - s. Is 6\/(-39) + u\/(-13) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m + 3. Let o(t) = 46*t - 1872. Give d(o(b)).\nAnswer: 184*b - 7485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/41, -2\/3, 1.\nAnswer: -2\/3, -2\/41, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1160 = -7*n + 5*n. Suppose 0 = -4*s - 2*x + n, -6*x = -5*s - x + 695. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/27 + 4\/675. Sort -3\/5, 3, b.\nAnswer: -3\/5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, -0.3, 17, -0.4, 3, 376, 96\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145554.\nAnswer: 2, 3, 17, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 71389, -2, 0, -163, 1\/6, 2 in descending order.\nAnswer: 71389, 4, 2, 1\/6, 0, -2, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10110111111100100 (base 2) to base 9\nAnswer: -153164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/2 equal to 176468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 88638 and -1?\nAnswer: -88638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*p**2 + 168 + 61*p + 129*p**2 - 295*p - 246*p - 165.\nAnswer: -p**2 - 480*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6849.3 * 18799\nAnswer: -128759990.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30702 is divided by 7653?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9458 - 14481. Let z = -1860 - u. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 108 = 30. Let j(a) = -a + 1. Let o be j(1). Suppose o = f*i + n - 77, -5*i + 0*n - 3*n + 127 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.27 (b) 21.7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*c + 40 - 282, -240 = -2*c - 5*n. Let t = -137 + 156. Let q = t + 6. Calculate the highest common factor of q and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-108))\/((-33)\/(-891))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22c9a + -4?\nAnswer: 22c96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/3 - 272*h**2 + 3316*h\/3 - 832.\nAnswer: -4*(h - 3)*(h - 1)*(h + 208)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**3 + 19*x**2 - 21*x - 21. Let h(c) = 6*c**3 + 18*c**2 - 20*c - 21. Let d(n) = -4*h(n) + 5*i(n). Let g be d(-24). Solve 4*a = g*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.247213 - -55.2472666. Let g = x + -52. What is g rounded to 6 dps?\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76*2422\/(-5936) - 279\/9?\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -30709.\nAnswer: -30709.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3635771 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*g = -q + 25, g = -2*q + 22. Let y be (-2)\/(-4) + 18\/(-4). Let l = y + q. What is the remainder when 25 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -34685.7226?\nAnswer: 34685.6226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0*2235\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 733858 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 6) + -26 + 74 + -42.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2294 - 11644 = -925*c + 75*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 9. Let p be i(-11). Let b = 0.05 + 1.95. Let y be (-30)\/(-8)*2*(-5)\/50. What is the closest to p in y, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10231300233 + 23?\nAnswer: 10231300322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9370514, 3 in ascending order.\nAnswer: -1, 3, 9370514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvouhhhhhvvov. What is prob of sequence uouv?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142 + 159. Factor -23*o**3 + v*o**3 - 8*o**2 + 18*o**3 - 4*o**4.\nAnswer: -4*o**2*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1199*r + 19*r - 2244*r - 651*r.\nAnswer: -4075*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4140.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3 = -667. List the prime factors of y.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**5\/20 - d**4\/2 - d**3\/6 + 5*d**2\/2 - 6*d + 5. Let k(o) = 2*o**3 + 13*o**2 + 2*o - 11. Give 13*b(n) + 6*k(n).\nAnswer: -n**3 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35b71 (base 15) to base 9.\nAnswer: 281017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1978*y + 2178*y - 2000 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 56*p**2 + 3*p + 1. Let g be d(3). Suppose -q = -3*q + g. Suppose q = -7*l + 635. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 363364434*a*x**2 + 34771943*a*x + 2*a wrt x.\nAnswer: 726728868*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*s - 10 = 0. Let l be s\/6*5*-3. Suppose 3*r = l*r - 2, -r + 9 = 2*u. Solve -3*v = b - 2 - u, -3*v + 4*b + 21 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -98, -95, -92?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 6*r + 8. Let x(j) = -j**3 - j**2 + 2*j + 8. Let g(t) = 2*t**2 + 11*t + 5. Let p be g(-5). Let w be x(p). What is i(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -22. Let h(n) = -2*n - 10. Let m be h(-5). Sort m, w, -2 in ascending order.\nAnswer: -2, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22602434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -358512*i**2 + 245*i*v + 26863*v - 161 wrt i?\nAnswer: -717024*i + 245*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 g when four letters picked without replacement from hhhugghggghhh.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - b - 3, 0 = -5*i - 6351*b + 6349*b - 19 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1221, 3963, -1 in descending order.\nAnswer: 3963, 1221, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from lllllflllllll.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20695 is divided by 866?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-161)\/(-2898) + (-7)\/(-9)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. What is the second derivative of -h*f**2 - 3*f**2 + f + f wrt f?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**3*u\/u**7*(u**(2\/9)\/u)**(-7) assuming u is positive.\nAnswer: u**(-23\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1785, -16189, -55277, -131391, -256873, -444065?\nAnswer: -705309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/6)\/(2\/4) - -1. Suppose -21*m = -5*m - 64. Solve -7*q + 30 = -5*v - d*q, -15 = v - m*q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 657 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1439, 1410, 1371, 1316, 1239, 1134, 995, 816?\n\"Answer: -y**3 + y**2 - 25*y + 1464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = t + 72203, v + 6*t - 3*t = 18054. Let s = v - 6254. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 802596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21287\/14186 + -4\/7093. What is r in 1\/6*r**4 - 1\/3*r + 4\/3 - t*r**2 + 1\/3*r**3 = 0?\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - 3*y + y)*(-2 + 3131*y - 4029*y - 6758*y) to l*y**2 + o + t*y and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - -95. What is the greatest common divisor of d and 156?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3 + 2 + 2*r**2 - 293*r**3 + 294*r**3 - 4*r. Suppose -z - 15 = 4*z. Let u be b(z). Solve 0 = u*s - 4, 4*t + 9 = -s + 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 471834996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43310 = -448*n + 189*n + 94*n - 445*n for n.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93.00000785 + 93. What is j rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006027506 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106633 (base 7) to base 15.\nAnswer: 5a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193813, -1550963, -5234645, -12408121, -24234653?\nAnswer: -41877503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**6*k)*k*k\/k**(1\/10))\/(k\/k**(-3)*k\/(k*k*(k\/((k**(-9)\/k)\/k))\/k)))\/((k**0*k**(-1\/4)\/k)\/(k**0)**(-3\/19)) assuming k is positive.\nAnswer: k**(103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 218164 + 1148457 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-2)*g)*g**(-2\/3)*g*g*g)\/(g\/g**(5\/4)*g\/(g\/g**1*g)) assuming g is positive.\nAnswer: g**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 12 - (1 - 2 - -12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - d = 5, -4 = 2*s + 4*d - d. Let f = 3 - 3. Let l = s - f. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (3 + -3)\/3. What is the first derivative of u*s**2 - 15*s + 15*s + 3 wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 322956 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -5 (c) 6 (d) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1991000 rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10165)\/107 + 64 + 3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1379937 and 574041?\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2 - 2. Differentiate -t**4 - 3*t**w - 2*t**4 + 7 with respect to t.\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {s: 5, c: 6, j: 1, f: 1, l: 1}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 33*x**4 - 47373*x**3\/5 - 90204*x**2\/5 + 10404*x\/5 = 0.\nAnswer: -2, 0, 6\/55, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -25. Let y be (-2)\/(m\/3 - 3). Let g be (6\/(-2) - y)\/2. Solve -4*w + 0*w - 4 = g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10550 = -4224*f + 4646*f for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1057 and 166201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39766 is divided by 1293.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2187 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*a + 64 + 9, -r - 17 = -a. Let x be (6\/(-3) + r)*2\/(-6). Solve s + x = 5*c - 16, 2*c - 7 = -s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - 7 - (9 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*d + 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 4*k**2 - k + 1. Let v(f) = -147*f**3 + 150*f**2 - 2*f. Let b(x) = -2*m(x) + v(x). Find the third derivative of b(o) wrt o.\nAnswer: -894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -99*f**2 + 50*f**2 + 48*f**2. Let x(u) = -10*u**2. Calculate x(d(m)).\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 8 = 9*h. Let x(m) = -m**2 - 12*m + 4. Let y be x(-12). Let v be (-2 + y + -3)*3. What is the closest to h in v, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 + 16 + 2*u**2 + 15 + 18 - 50 + 3*u - 6*u**2 to c*u**3 + n*u**2 + o*u + r and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -368, -382, -382, -362, -316, -238, -122, 38?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3053, 102, -2\/7, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*b - 568 + 187 = -588*b + 5*t, 0 = -2*t - 154 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**5 - 108415*q**4 - 17241400*q**3 - 494309000*q**2 + 15492510000*q - 87168150000 = 0.\nAnswer: -21523, -90, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-30)*(-36)\/(-48). Let f = -0.4 + 0.3. Which is the closest to f? (a) 4\/3 (b) 6\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1467?\nAnswer: -4\/1467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 128 or 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 15*h**2 + 15*h + 1. Let a be q(14). What is the common denominator of (-3)\/a - (-2058)\/(-60) and 95\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19\/3? (a) 1\/10 (b) 0.3 (c) 0 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2)*-8*((-357)\/(-34) - 11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**2 - 45*z + 8. Let d be b(9). List the prime factors of 62\/((-6)\/(-312)*d).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-221)\/(-52) + -2*2*1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/500 and -167\/39600?\nAnswer: 198000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5344?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 519245088 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + ((sqrt(132) + (sqrt(132) - 5*(sqrt(132) - 2*sqrt(132))))\/sqrt(11) + 2 + sqrt(12) + sqrt(1452) + 0)**2).\nAnswer: 912*sqrt(3) + 26022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 2*h + 1. Let o be l(-3). Let j(x) = -x**3 + 6*x**2 - 7*x + 5. Let k be j(5). Sort o, k, -11.\nAnswer: -11, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66009 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -73247, -292985, -659223, -1171967, -1831223?\n\"Answer: -q**3 - 73244*q**2 + q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 8*l + 9. Suppose -4*v - 2*p + 26540 = 0, -13*p = -l*v - 15*p + 19903. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3805 (base 16) to base 9\nAnswer: -21604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 203373 or 203404?\nAnswer: 203373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 11*s - 3. Let g be f(12). Suppose -g*q + 4*q = -20. Solve 0*l = l - q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 10*v - 15. Calculate i(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2094599 is divided by 1047269.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**2\/2 - 9*n + 4. Let x be l(12). Suppose 4*j + 16 = 2*f, -x*f - 2*j = 2*f - 64. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 3\/178, 0.46?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3803526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 8. Suppose 5*b = -38 - 97. Let p = b - -20. What is l(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2433880456887 - -2.\nAnswer: 2.2433880456887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000120891 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {c: 1, p: 19}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3418 or -3425?\nAnswer: -3425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1555 + 2555. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 2:59 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1 + 2 + 0 - 2. Let s(g) = -g - 2. Let n(d) = 2*c(d) - s(d). Let k(v) = v - 98. Calculate k(n(y)).\nAnswer: y - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -1738.\nAnswer: -1738.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/21)\/2)\/(3\/(-3)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 568 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/20, 1149, -1\/250 in ascending order.\nAnswer: -9\/20, -1\/250, 1149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*r + 2429 = 125 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56265 is divided by 56186.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 839 + -452. Let n = q + -207. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l**5 + 305*l**2 - 282*l**2 - 23*l**5 wrt l.\nAnswer: -1140*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 8:43 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (1*-2)\/(-2). Let z(g) = g + 1 - 3*g**3 - 5*g + 3*g - g. Let x be z(u). Let f(c) = -c - 2. What is f(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 4. Suppose z*w + 5*a = -199, -a + 56 - 197 = 3*w. Let f = w + 74. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 + 69 = 7*h. What is the greatest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, s: 1, m: 7, k: 4, j: 2, a: 2}. Give prob of sequence jas.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = o - 22, -2*o = -5 + 1. Let a be -3 + ((-66)\/v)\/(10\/(-75)). Suppose f - 25 = 5*l, -a = -3*f + l + 49. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/440 and 61\/322?\nAnswer: 70840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 435*v + 363*v - 274 - 880*v with respect to v.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 21*w**2 - 20*w + 48. Let v be i(-22). What is the second derivative of -39*z + z**4 + z**v + 4*z wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41989802, -83979618, -125969434, -167959250?\nAnswer: -209949066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-180))\/((-1)\/129)*183. Suppose 4*a = 3*t - n, 4*t - 5*t + 887 = 5*a. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50321219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**4 + 2*t**2 + t + 22839 - 11411 - 11424 - 18*t**3 to the form s*t**2 + w + h*t**4 + c*t**3 + o*t and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6877 less than or equal to 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32928 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3 + 9. Let a(i) = i - 1. Let f(c) = 63*c - 48. Let k(y) = -37*y + 27. Let r(h) = 3*f(h) + 5*k(h). What is z*a(t) - r(t)?\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -30*h**2 + h + 41. Let r(q) = 151*q**2 - 6*q - 194. What is 11*d(y) + 2*r(y)?\nAnswer: -28*y**2 - y + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 9*i**5\/10 + i**4\/24 + 44*i**3 + 6*i**2 + 35. Find the second derivative of p(l) wrt l.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 327495 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 108.6 + -104.6. Let b = -0.1 + -0.1. What is the smallest value in 5, b, k, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531629551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 k when four letters picked without replacement from dkdkdkk?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32432 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h**4\/23 - 240*h**3\/23 + 462*h**2\/23 + 274*h\/23 + 36\/23 = 0. What is h?\nAnswer: -9, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -16416 divided by 1026\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8474?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3207)\/27 + (-2)\/9. Let a be (152\/(-6))\/((-67)\/(-603)). Let z = g - a. List the prime factors of z.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/8)*i**(-5\/4) assuming i is positive.\nAnswer: i**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -1 - (-120)\/40. Solve -10*p + 54 = i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 87*i - 17. Let m be a(19). Let q = 8991 - m. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26934565211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4\/2 + 57*p**3\/2 - 470*p**2 + 1794*p - 1352 = 0. Calculate p.\nAnswer: 1, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 697*t + 5 - 69 - 25.\nAnswer: 697*t - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 + 80 = -5*u + 5*t, 180 = 4*u + 4*t. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 389 + -110981?\nAnswer: -1105a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 0*y**5 + 7\/24*y**4 - 3*y + y**2 + 0 - 233\/6*y**3 + 1\/24*y**6. Differentiate f(z) wrt z.\nAnswer: 15*z**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -d - 0*d. Suppose d = -a - 3*a. Let y be -3 + ((-10)\/a - -1). Which is smaller: y or -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-6)*p))\/(p**(5\/2)\/p))\/(p**(-5)\/(p*p\/p**1*p)) assuming p is positive.\nAnswer: p**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5979679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -37, -4 in descending order.\nAnswer: 2, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -6035*m**5 - 567200*m**4 + 1764645*m**3 - 26190*m**2 = 0?\nAnswer: -97, 0, 18\/1207, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffsmssdfdfxcdff. What is prob of picking 2 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360) - 3*(sqrt(360) - (sqrt(360) + 2*sqrt(360) - sqrt(360))))\/(-3*sqrt(72) + sqrt(72)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7055.2 rounded to the nearest 10?\nAnswer: -7060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(0 - -1)\/(-2) + 23. Let n(t) = 7*t - s + 2*t + 186*t**2 - 182*t**2. Let a(r) = -r**2 - 2*r + 6. What is -9*a(u) - 2*n(u)?\nAnswer: u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/7, 1\/13, 0.2, -11?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48421\/14 - 3456. Calculate the common denominator of i and -23\/58.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**3 - 28*x**2 - 4*x**3 - 5*x**3 - 5 + x**3 + 9*x**2 - 3*x in the form b*x + v*x**2 + a*x**3 + w and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:10 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/62 (b) -3\/8 (c) -690\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16590083?\nAnswer: 523, 31721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2098693 is divided by 749?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3*n**2 + 4*m**3*n*y - 2*m**3*y + m**2*n**2*y**2 - 36*m**2*n**2 + m**2*n*y**2 - 38*m*n*y - 2*m*y**2 wrt n.\nAnswer: 4*m**3 + 2*m**2*y**2 - 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 0*a**2 - 2\/15*a**6 - a + 0 - 1\/4*a**4 + 0*a**5 + 0*a**3. What is the third derivative of j(w) wrt w?\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23007 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.012344 rounded to one dp?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {w: 1, t: 1, y: 2, q: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2168 is divided by 672.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7145 divided by 5?\nAnswer: -1429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 297151390 rounded to the nearest 1000000?\nAnswer: 297000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2741 (b) -55 (c) -0.03 (d) -1\/6 (e) -4 (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 109*j**3 - 39 - 138 + 418*j**3.\nAnswer: 309*j**3 - 252","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 174? (a) -4\/3 (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1721 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 57*o - 26. Give y(25).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12015588 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - ((sqrt(180) - 2*sqrt(180)) + sqrt(180))**2) + sqrt(5) + 1.\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/31 (b) -1\/6 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/18*(-36)\/(-60). Put a, 1\/3, 4\/7, 4 in descending order.\nAnswer: 4, 4\/7, a, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, o: 7}. What is prob of sequence oi?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + 5 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (1*-4*sqrt(2673) + sqrt(2673) + sqrt(2673))\/(-6*(sqrt(1584) - sqrt(1584)*-1))).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(3*sqrt(325)*-1 - (sqrt(325) - (sqrt(325) - (1 + sqrt(325)))*3)) + -2)**2.\nAnswer: 2400*sqrt(13) + 83425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s - 7454 = 0. Let z = s - -74523\/20. Find the common denominator of z and 7\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 0.738, 2 in descending order.\nAnswer: 2, 0.738, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 3*c + c - 2, 11 = -3*h - 4*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-4)\/p)\/(p*p**(2\/5)))**(6\/23)\/(p**(-3)\/p**(-3\/7))**(-21) assuming p is positive.\nAnswer: p**(-6372\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 129. Let s = 50 + n. Let o = s - -26.99999885. What is o rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.13 - 568031237?\nAnswer: -568031402.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 2)*-5)**2*2 + 0 + sqrt(756)\/sqrt(3).\nAnswer: 206*sqrt(7) + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 12:58 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from legleed.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 2*q**2 - 5*q - 2. Let p(b) = -3*b**3 + 6*b**2 + 16*b + 6. Let k(h) = 7*m(h) + 2*p(h). Calculate k(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1362395 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6110 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*a + 136. What is the smallest common multiple of 16 and a?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 623, 2271, 5035, 8939, 14007, 20263, 27731?\n\"Answer: 4*d**3 + 534*d**2 + 18*d + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 10*y**2 + 14*y - 26. What is v(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 51. Suppose -4*b = 3*y - 35, -8 + z = 2*b. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(-2048)\/72*69\/92.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 * -3.471.\nAnswer: 0.62478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 80. Sort n, 0.2, -3\/7 in descending order.\nAnswer: n, 0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1408 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7054*b - 6287 wrt b.\nAnswer: 7054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**2 - 28*i + 41*i - 11*i - 98*i - 180 = 0. Calculate i.\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 m, and 1 y when three letters picked without replacement from pifimymymrmy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/2 + 62349*z.\nAnswer: -3*z*(z - 41566)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-8)*10\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 316d84 (base 16) to base 10\nAnswer: 3239300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okkh when four letters picked without replacement from {o: 1, h: 2, k: 3, z: 4}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*((-2)\/4 - 0). Suppose -28 = -6*x + 2*x - d*k, -4*x = k - 28. Let i(g) = -g**2 + 7*g - 2. Let o be i(x). Which is smaller: o or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -24, -19, 6, 57, 140, 261?\n\"Answer: a**3 + a**2 - 19*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/28*((-6)\/2)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -20) + (1 - 1) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.167 - 0.456. Let q = -70.311 + t. Let j = 82 + q. What is j rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31141\/10860 + 3\/3620. Calculate the common denominator of k and 2\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39.707 * -3.\nAnswer: 119.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -65.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03 and -2593.\nAnswer: -2592.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*s - 5*s + 42*s + (-3*s + s + 3*s)*(-3 - 2 + 3) + 2*s - 2*s - 2*s + 3*s - 3 + 3 - 1 + 1 - s.\nAnswer: 19*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53703 and 338.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.642 and 73892301697.\nAnswer: 73892301696.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 3\/20*x**5 + 8\/3*x**4 + 0*x**6 + 17*x**2 - 1\/70*x**7 + 0*x + 2 + 0*x**3. Find the second derivative of z(m) wrt m.\nAnswer: -36*m**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4549, -8988, -13313, -17524, -21621, -25604?\n\"Answer: 57*l**2 - 4610*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -880*o**3 + 452*o**3 + 442*o**3.\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 + (-891)\/(-2750))\/((54\/(-15))\/3) and 167\/150?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 2*o**3\/3 - 184. Let l(r) = -177*r**2. Give c(l(h)).\nAnswer: 62658*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - c = -25, -2*x - 4*c = -13 - 3. Calculate the remainder when 39 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**3 - 6*x - 4. Let y(d) = -10*d**3 + 11*d + 7. Give 11*r(c) + 6*y(c).\nAnswer: -5*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, l: 2, k: 2, j: 2}. What is prob of picking 1 l, 1 t, and 2 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-161568)\/1287 + 75 - -51\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1140007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10705 + 10705. Let m(k) be the first derivative of l*k**2 - k - 4 + 10\/3*k**3. Calculate m(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241.5751 < -0.69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5*1*(-62)\/155\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97 - 79 + 60 - 46 - 2*g**3 + 0*g**3 to n*g + o + f*g**2 + b*g**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 310332231?\nAnswer: 310332243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 7*t**2 - 4*t - 7. Let n be v(6). Suppose n*k = 5*y + 35, 0*y = 3*y + 3*k + 9. Let z(c) = -4*c - 6. Does 11 divide z(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 24*p + 10 = -2*a, a + 3*p - 2 = 0. Let d(v) = -2*v**3 - v**2 + 2*v - 3. Let l(c) = -2*c**3 - c**2 + 3*c - 4. What is a*d(r) + 3*l(r)?\nAnswer: 2*r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.273, 3 in ascending order.\nAnswer: -8, 0.273, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*z**3 + z**3 + 46*z**3)*(3 - 3 - 1 - 1 + 4 - 1 - 1 + 4 - 4 - 2 - 1 + 1 + (-6 + 5 + 2)*(2 + 4 - 5) + 1 - 1 + 2 - 36 - 93 + 0).\nAnswer: -8832*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 6. Let m be k(-4). Suppose -2 = 4*p + m. Let u = 26.4 - 26. What is the biggest value in u, p, 1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 878, 2799, 6514, 12623, 21726, 34423, 51314?\nAnswer: 72999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12636.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1808, 3686, 5614, 7598, 9644, 11758?\n\"Answer: f**3 + 19*f**2 + 1814*f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97.2 + -97. Sort 3, c, 0 in increasing order.\nAnswer: 0, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*g**4 - 66*g**3 - 21513*g**2 + 14916*g + 6624 = 0. Calculate g.\nAnswer: -23, -4\/13, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by -9?\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -3 - -15 - 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7081582 + 3?\nAnswer: 7081585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -4*o + 5*l, 0*o + 4*o + 5*l = 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0556 - 0.1444. Which is the nearest to -2\/3? (a) 1.6 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 54*s - 57*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 146, 358, 570, 782, 994?\n\"Answer: 212*w - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4512037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**2 - 34*j + 10. What is v(-12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 5:31 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - r + 7. Let n be g(0). Let v(u) = -u**2 + 8*u - 1. List the prime factors of v(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 - k**4 + 4*k**4)*((-4 + 4 + 2)*(-14*k - 16 + 16) + 3*k + 0 + 0 - 4*k - 3*k + 5*k).\nAnswer: -27*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.311244ms in hours?\nAnswer: 0.00000591979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**4 - 7836*h**3 - 23472*h**2 + 16*h + 31296 = 0. Calculate h.\nAnswer: -1956, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 19*h**2 - 131*h + 431. Calculate r(8).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -9.6, -0.1, -0.06, -1 in ascending order.\nAnswer: -9.6, -1, -0.1, -0.06, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b + 33?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by -63364.\nAnswer: -39\/63364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -40. Let d = p - 28. Is (-2)\/d + (-453)\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - (-57 + (134 - 76))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and 0.134.\nAnswer: 0.01206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -278400000 rounded to the nearest 1000000?\nAnswer: -278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 - -16.1. Let r = w + 0.2. Let g = -14.999928 + r. What is g rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 3, t: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 58072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -2\/9, -2955, 3, 8 in decreasing order.\nAnswer: 8, 3, 0.9, -2\/9, -2955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*l = -12, -4*q + 0*l = -2*l + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 48 - 16. Let x be (6 - 8) + 6\/2. Let n = 1 + x. Calculate the highest common divisor of n and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -3114.8?\nAnswer: 3117.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95 - -78. Sort 5, i, -4.\nAnswer: i, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (462\/(-63))\/22*1*-1*1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, w: 3}. What is prob of sequence wkk?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*k + 3*k. Let h be 36\/k*(0 + -1). Find the common denominator of -59\/16 and -3 + (-362)\/(-36) + h.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3335 divided by -273\nAnswer: 3335\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -6 + -2 + (13 - (-4 + 8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**4\/3 + l**2. Let r(d) = 5*d + 3. Let j(t) = -4*t - 2. Let c(i) = -3*j(i) - 2*r(i). What is c(y(v))?\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5\/7 - 194*r**4\/7 + 3768*r**3\/7 + 17336*r**2\/7 + 18080*r\/7 = 0.\nAnswer: -113, -2, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/60*-42*((-2)\/(-6)*-32 - -14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -703 + 702. Which is the second biggest value? (a) 3 (b) -0.2 (c) s (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*x = 75*x + 49500. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-59)\/((-4720)\/120))\/(3\/88*88\/(-110))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22025, 42920, 63813, 84704, 105593?\nAnswer: 126480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 104045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 6*w**2 + w + 1. Let q(l) = 1 + 13*l - 14*l + 1 - 1. Let c(h) = 3*q(h) - r(h). Determine c(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -400, -799, -1198, -1597, -1996, -2395?\n\"Answer: -399*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/6 + 3433*h\/6 - 3439.\nAnswer: (h - 6)*(h + 3439)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-35)\/245 + 870\/2415. Let a = 0.5 - -0.5. What is the biggest value in a, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5124, 5214, 5362, 5568, 5832, 6154, 6534?\nAnswer: 6972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5235 + 684 = 3*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15933, -31868, -47801, -63732, -79661?\n\"Answer: v**2 - 15938*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2650, 2649, 2648, 2647, 2646, 2645?\nAnswer: 2644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from {w: 4, q: 1, h: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54940 + 102747. List the prime factors of s.\nAnswer: 47807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*a - 38. Suppose -a*j - 6 = 0, -3181 - 2413 = -4*z + 3*j. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2659*w - 1383 - 11912 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - r + 96 = 270, -r + 90 = m. Let p be 294\/9*(8 - 7 - -17)\/(-7). Let g = m + p. What is the greatest common divisor of g and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 530 divide 1753901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 279102298*m*r + 7438*m + 4099 wrt r?\nAnswer: 279102298*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 5222641.\nAnswer: 57449051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 + 1095438*l + 11. Let c(h) = h**2. Calculate v(c(u)).\nAnswer: -2*u**4 + 1095438*u**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/11 and -48\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9372708 and 751500?\nAnswer: 6012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265446370?\nAnswer: 2, 5, 7, 3792091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 - 50. Suppose 0 = -25*p + 56 - 256. Let g be p\/12*(-13 - 2). Calculate the highest common divisor of g and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.803 times 652\nAnswer: -19431.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 4*j - 8. Let p = 93 - 99. Let g be d(p). Let b be 9\/2*g\/2. Calculate the greatest common factor of 15 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 - 0.19. Let j = 82.18 + -87. Let k = d + j. Which is the third smallest value? (a) 3 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 373*z + 14485. Calculate t(-40).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/(-6)*15\/2. Suppose 126 = -3*a + 2*r, -3*r = 29 - 29. Is a at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689595791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2337 and 54981?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715 is divided by 238.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + ((-28975)\/456 - -19) + 1\/(-8)?\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 26 - (-17 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 5:26 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 2554 in ascending order.\nAnswer: -3, 3, 2554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 232226191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 9725953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 280 = z. Let f = z - -171. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 82, 110, 164, 250, 374, 542, 760?\n\"Answer: q**3 + 7*q**2 + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-568)\/20 - -3) + 45\/(-75). Which is the closest to -0.1? (a) -1 (b) x (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 = 0, -6*a = 4*o - 3*a - 7701. List the prime factors of o.\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21960 = 22*f - 14*f. Suppose 8*i = f + 2175. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (4\/(-3))\/(8\/(-456))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -49*i. Let k(b) = -9*b. Let r(c) = 28*k(c) - 5*m(c). Let l(y) = -2*y + 3. Let j(x) = -x + 2. Let o(f) = -3*j(f) + 2*l(f). Calculate r(o(s)).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j. Let c(h) = -h**3 + h**2 - h + 43. Let a be c(j). Suppose -4*m + 3*z + a = -0*z, 61 = 4*m + 3*z. Solve q = 4*g - 8, -4*q + m = -g - 0*g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413029189.\nAnswer: 413029189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6501 or 6500?\nAnswer: 6501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.1, 1\/3, -1, 0.35 in decreasing order.\nAnswer: 0.35, 1\/3, 0.1, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x - 348. Let u(f) = -85 + 0*f + x + 4*f. List the prime factors of u(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/108 and -46\/5.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 g when four letters picked without replacement from {g: 2, c: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 366*b**2 - 9*b - 144. What is the hundreds digit of w(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 12:41 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(4\/7)))\/f**(-2\/11)*f\/(f*f**(-7\/6)*f)*f**(1\/14) assuming f is positive.\nAnswer: f**(-5\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 3, -6, -2, 5, 40 in decreasing order.\nAnswer: 40, 26, 5, 3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 17 (b) -13 (c) -50 (d) 2\/9 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 84?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45\/54 - (-50)\/12. Solve -f*g + 2*j = -20, 4*j + 20 = 5*g - j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -31. Suppose 3*a = 9, -4*a + 8 = -d*l + 3*l. Let m(c) = -c**3 - 6*c**2 - 5*c - 2. Calculate m(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136579 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9525?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264310083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1981365 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 293*o**2 + 51*o + 345. What is the hundreds digit of y(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 285.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 858193*p**3 - 984122*p**2.\nAnswer: 5149158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 2*f - 54. Calculate c(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**10*y*y*y*y**(-4)*y)\/(((y\/y**(-3\/11))\/y)\/y**9) assuming y is positive.\nAnswer: y**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*g - 29*g + 208. Let o(f) = 9*f - 17. Let y(h) = 80*h - 152. Let m(a) = g*o(a) - 6*y(a). What is the derivative of m(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -186, 296, 778, 1260, 1742?\n\"Answer: 482*a - 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15117212.\nAnswer: 2, 11, 31, 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1893*f**3 - 3*f**2 - 2 + 2.\nAnswer: 1893*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/5 and 97\/1588.\nAnswer: 7940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79925 is divided by 249?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -7*j - 868. Let m be (-3)\/15 + j\/(-35). Suppose 4*r - 64 = 32. What is the greatest common divisor of m and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -17.988. Let x = 0.088 + u. What is the nearest to x in 5, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1939 or -1921?\nAnswer: -1921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -15. Suppose -v - 2*g = n, g - 1 + 6 = 0. Solve -21 = 4*r + p, -3*r - p - 11 = v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 5:25 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 k when three letters picked without replacement from skllqwqdkddql?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 7*a**2 + 2*a + 6. Suppose -x = 3*x + 2*j - 40, j = 3*x - 40. Suppose x*s = -156 + 72. Calculate y(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 317 + 58985*s - 58983*s + 103 + 594 in the form x + a*s and give x.\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q. Let m be v(-2). Let t(y) = -y**3 + 5*y**2 + 6*y + 5. Let g be t(6). Which is the nearest to -0.11? (a) m (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4408638.6426 plus 1.1?\nAnswer: -4408637.5426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35\/631738 or 1?\nAnswer: 35\/631738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*k - 8*k - 70*k - 95*k + (-1 + 3 - 1)*(-3 + 3 - k) - 5*k + 4*k + 0*k.\nAnswer: -251*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + 2. Let h be (-2)\/(-2) + 1 - d. Let v = 59 - h. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4439, -49, 7\/5 in ascending order.\nAnswer: -4439, -49, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*l + 32 - 19 - 520*l**3 - 14 + 468*l**3 to the form d*l**2 + z + g*l + h*l**3 and give g.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2031 and 83201946?\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -264278.\nAnswer: -6\/132139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 3\/2*j**3 + 3*j - 7\/2*j**2 + 18. Let b(h) = -10*h + 8. What is 5*b(p) + 6*y(p)?\nAnswer: 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -355\/39?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146168 = -168*m + 506360. Calculate the highest common divisor of 737 and m.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -6*i**3 + 38*i**2 - 9725*i. What is r(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(-2*s + s + 2*s) + 0*s - 5*s + 4*s - 2*s - 2 + 2 + 2*s - 4 + 4 + 288*s + 50945 - 50945 - 2*s + 1 - 1.\nAnswer: 284*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 10*g**2 - 13*g + 184. Let b be f(10). Solve 0 = b*u - 59*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4721, -4726, -4733, -4742, -4753, -4766, -4781?\n\"Answer: -d**2 - 2*d - 4718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51459867149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 31. Let s(f) = -f**3 - 8*f**2 + 7*f - 10. Let p be s(-9). Suppose -80 = -0*q - p*q. Calculate the remainder when r is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 762\/78 - 5 - (-4 - -9).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 17. Let b be k(14). Suppose f = -4*z + 8, -b*z + f - 5*f = 7. Suppose -4*v = 8, g + 46 = 6*g - z*v. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + a0669b?\nAnswer: a0669b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3881718 divided by 1940859.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -90*u - 98. Let y be d(-13). Let x = 1998 - y. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*i - 6 + 28, 5*i - 16 = -4*q. Let s(r) = -21*r**3 - 3*r**2 - 3*r - 1. Let f be s(q). What is the greatest common divisor of f and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4921721\/3 or -1640573?\nAnswer: -1640573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*j**2 + 277*j**2 + 367*j**2.\nAnswer: 983*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-4))\/((-2)\/(-1)). Solve 0 = -5*d - g - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -47*b**5\/20 + 185*b**3\/6 + 28*b + 2. What is the second derivative of f(i) wrt i?\nAnswer: -282*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53240678876*n + 53240678876*n + 486*n**3.\nAnswer: 486*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -129*q - 10. List the prime factors of f(-5).\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/4)*r*r**(-2)*r)\/(r\/(r*r\/(r**(2\/11)\/r*r))*r**8))**(6\/17) assuming r is positive.\nAnswer: r**(-849\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87789605?\nAnswer: 5, 17557921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115894 is divided by 38516?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4597 = 7688. Let i be o\/104 - 3\/(-8). Let d(w) = 60*w**2 - w - 1. Let c be d(-1). What is the highest common divisor of c and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -7418 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22656771 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/60 - 278\/(-2085). Factor 0 + 1\/2*d**4 + d + q*d**5 - d**2 - 3\/4*d**3.\nAnswer: d*(d - 1)**2*(d + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - -5*sqrt(204)*-3)\/(sqrt(72)\/sqrt(6)*3) + -3.\nAnswer: -14*sqrt(17)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e37 + 3?\nAnswer: e3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 377158 (b) 4 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 200295207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (sqrt(68) - (-2 + -1*sqrt(68))))**2 - (((sqrt(17) - sqrt(425))**2 + 3 - (-2*sqrt(17) + 5)) + 2).\nAnswer: -1812 - 242*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 - 75*f - 20. Let r be o(-32). What is t in -5*t**4 + 115 + 104 + 113 + 45*t**3 - r - 40*t**2 = 0?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 13. Let n(i) = -i**v + 4*i + 0 - 1 - 3*i. Let a(f) = 3*f**2 + 3*f + 3. Let b(l) = a(l) - 3*n(l). Find the first derivative of b(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from hafaahznvzaaaanf?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6172*y - 2977 = 148 - 27813 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**7\/8820 - f**6\/315 - f**5\/21 - 67*f**4\/3 - 2*f + 205. Let s(v) be the third derivative of w(v). Solve s(a) = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.35 + 17.85. Put -1\/3, -1, l, -50 in decreasing order.\nAnswer: l, -1\/3, -1, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i**4 - 5*i**3 - 5*i**2 - 25. Let u(n) = -11*n**4 + 8*n**3 + 8*n**2 + 38. Let m(b) = 8*d(b) + 5*u(b). Differentiate m(x) wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x + 54. Does 10 divide w(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/3, -1, -13.2, 1, -4.3, 0.06, 2\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200428 is divided by 16649.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 87. Is j\/4 - (-198870)\/(-24)*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*w**3 + 3)*(-4 + 2 + 1)*(-163*w - 1218 + 1218) + 7*w**4 - 3*w**4 - 3*w**4 as u*w**2 + d*w**4 + a + c*w + v*w**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*h + 21*h - 4*n + 8, 4*h = -n + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 16 = s - 4*a, 4*s - 22 = 2*a. Suppose -1204*b + 1206*b - 55 = 5*y, -4*y = -4*b + 56. Solve 11 = -b*k + 3*z + 28, -s*k - 3*z = -23 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 1, v: 2}. Give prob of picking 1 s and 2 v.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**2*h**2*l - 8*c**2*l - c*h**2*l + 2*c*h**2 - 2*h**2*l + 3*l wrt c?\nAnswer: 6*h**2*l - 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -503 - -531. Let g = -26 + 23. Let m = -13\/15 - -6\/5. What is the nearest to m in t, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 148?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**3\/4 + 12255*k**2 - 10683925*k\/4 + 5317455\/2 = 0 for k.\nAnswer: 1, 222, 9581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3821326 rounded to the nearest 10000?\nAnswer: 3820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 17*y**3 - 5*y + y.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -12 - (36\/(-3))\/(-12). Suppose -p - 3*w = -10, 2*p + w = 15 + r. What is the remainder when 32 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126.71 + -134. Let d = m - -7. Let i = d - -4.29. What is the nearest to 0 in i, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/2475 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 10) to base 6\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h + 3*h + h - 3 - h**3 + 4. Let f be g(2). Let j = f - -16. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5*s + 10 - 11*s - 9.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from {q: 5, c: 1, u: 1, l: 4, r: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80.73 + 81. Let g = i + 0.73. Put -0.2, 0.5, g in ascending order.\nAnswer: -0.2, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8663542 is divided by 751?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 3*o**2 - 5*o + 4. Let p be h(4). Suppose 0 = -p*f - 3*f + 288. What is the highest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.31 - 2.5. Suppose 0 = 3*q + 4*l, 3*q - 6*q - l + 9 = 0. What is the third smallest value in h, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 - 12 = -13*v. Calculate the remainder when v is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2695*b + 8 = 2694*b - 2*y, -3*y = -b + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -810 + 812. Put 4, 3, z, -1 in descending order.\nAnswer: 4, 3, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 712016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.047 and -23.03.\nAnswer: -1.08241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 1.1. Let s be (-20)\/(-70) - 94\/(-14). Suppose 3*w - s = -10. What is the closest to w in 0, u, -4\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 0, -5*r - 84 = -l - 289. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ixxjcxjjpipjidd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.12212388\nAnswer: 0.048849552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8312 + -8310. Let b(v) = v**2 - v - 1. Give b(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -2*x - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1040 + 1060. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/3 - 4*f**3\/3 - 16*f**2 + 100*f\/3 - 50\/3.\nAnswer: 2*(f - 5)*(f - 1)**2*(f + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sooo when four letters picked without replacement from {o: 3, z: 1, t: 2, s: 1, j: 4}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102606?\nAnswer: 2, 3, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 212*z - 18515. What is p(66)?\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.664 + -121.336. Let d = f - -241. Do 0.1 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 91285608.\nAnswer: 273856824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/6 - 3281*a\/3 + 63713\/2.\nAnswer: -(a - 29)*(a + 6591)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -738, -728, -704, -660, -590?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -56*s**6\/3 - 73*s**3\/3 - 56. What is the third derivative of h(o) wrt o?\nAnswer: -6720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpwffofpfpu. What is prob of picking 1 p and 1 f?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/32)\/(86\/(-5504))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -2\/15, -7 in increasing order.\nAnswer: -7, -5\/3, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31424 - 24303?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/21531 and -49\/66?\nAnswer: 473682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -160, -235, -310, -385, -460?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -148452*h**2 + 47161 with respect to h.\nAnswer: -296904*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/4135?\nAnswer: 2\/4135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -55. Let g(r) = r**3 - 8*r**2 - 9*r + 2. Let t be g(f). Let z be (-68)\/(-28) + t + (-1 - 4). Sort 1\/2, 2, z in decreasing order.\nAnswer: 2, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*d**3 - 129*d**3 + 47*d**3 + 37*d**3.\nAnswer: 37*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*-2*sqrt(152)*-1*-6)\/(2*((sqrt(392) - sqrt(392)*3*4) + sqrt(392))).\nAnswer: -9*sqrt(19)\/35 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19367 - -32713. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 18 = 14. Suppose -5*x - 8 = 4*p, 0*x - 3*x - 2 = p. Let w be ((-9)\/s - p)*2. Which is the biggest value? (a) 3 (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000086069 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.58 (b) -2\/15 (c) -5.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4466 - 2669. Let t be (-3)\/2 - (-2696)\/s. Let q = t + 11281\/599. Find the common denominator of q and 23\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0 - 9 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + 4.4. Let w = 0 + -0.1. Let o = 3824 + -3823.9. Which is the second smallest value? (a) o (b) w (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzpcz. What is prob of picking 1 p and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/43)\/i**8)\/((i\/i**(2\/9))\/(i**4\/i)) assuming i is positive.\nAnswer: i**(-2254\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s - s**2 - 3*s**2 - 24 + 5*s**2. Let o be t(-8). Suppose o = 4*n - 380 - 268. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22955557 divided by -739.\nAnswer: 31063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1361 divided by -5.\nAnswer: -1361\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 150910 divided by 1\nAnswer: 150910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1438224 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10350*a + 130 = -10337*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)*-1 + sqrt(125) + 5)**2 + (sqrt(5) + -1)*6 + -1)*2*2.\nAnswer: 24*sqrt(5) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f + 5. Let v(x) = -11*x + 24. Let m(t) = -9*g(t) + 2*v(t). Give m(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8487846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5860 + -41018\/7. Solve -4\/7*x**4 - 6\/7*x**2 - j*x + 10\/7*x**3 + 2\/7 = 0 for x.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437.6668 nanograms in tonnes?\nAnswer: 0.0000000000004376668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -212644, -212647, -212652, -212659, -212668, -212679, -212692?\n\"Answer: -t**2 - 212643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j**2 + 8*j**2 - 18*j**2 to g*j + k + r*j**2 and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**4\/6 - 4*p**3\/3 + 3*p**2 - 12. Solve q(w) = 0 for w.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.02 - 3. Let c = 20.68 - 22.7. Let y = c + h. Sort -1, -4, y.\nAnswer: -4, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a week in hours?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 95\/2 of a microsecond?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -u + 5. Suppose s = 3*l + 14, 3*s - 6*s + u*l + 18 = 0. Differentiate -2*q**2 + q**s + 4*q**2 - 2 with respect to q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 782 (b) 1723 (c) -0.4 (d) 1\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o - 35 + 38*o**2 + 2*o + 4*o**2 + 7*o. Let v(t) = -43*t**2 - 7*t + 35. Let j(u) = 7*b(u) + 6*v(u). Differentiate j(p) wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14438 is divided by 321.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:54 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**8\/z)*z*z\/(z\/(z\/z**(-3))))\/(z\/(z*z**(1\/3)*z))**(2\/93) assuming z is positive.\nAnswer: z**(-550\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:54 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3*i + 7438, m + 787 = 3*i + 2654. List the prime factors of m.\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15423964 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 17*g - 12. Let c(t) = -4*t - 3. Calculate 9*c(s) - 2*q(s).\nAnswer: -2*s**3 - 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 11*c + 42. Let o be v(-4). Suppose 0*d - 18 = -6*d. Calculate the common denominator of (-164)\/(-12)*d\/o and 27\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 613367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 + 6*b + 4. Let v be c(-2). Suppose 5*l = 30 - 5. Let t(y) = -2*y**2 - y**2 + 2*y**2 + l + 4*y + y**3 - 5*y**2. Determine t(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 3*y + (-2 + 2 + y)*(5 + 2 - 2) - 3*y - 9 + 9.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -13 + -2 + -17 + 27 - 30\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**4\/24 - r**3\/2 - 2*r**2. Let c(k) = -1. Let m(l) = 10*c(l) - 2*y(l). Find the first derivative of m(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.18 - 9.18. Let w be (-40)\/90 - 5\/90. Which is the nearest to w? (a) -0.3 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 n when three letters picked without replacement from nsddhdssrsss?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121212020 (base 3) in base 15?\nAnswer: 1048c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 9*o**2 - 9*o - 8. Let n = 3 + -11. Let b be a(n). Suppose v + 5*p - 6 = b, 0 = -4*v + p + 11 + 34. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89*o**6 + 9*o**2 + 2.\nAnswer: -10680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730545942 a multiple of 983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 17, c: 1}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 828 * 15.88.\nAnswer: 13148.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1 = 3*k, 10 = 5*p - 3*k - 6. Solve v - p*v = 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 232, -5, -9 in descending order.\nAnswer: 232, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -4, -18, -178, 21, -1 in decreasing order.\nAnswer: 21, -1, -2, -4, -5, -18, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76340*14151.\nAnswer: -1080287340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -2*b - 2*b. Suppose -y - g + 15 = 0, 0*y - 3*g + 25 = y. Calculate the smallest common multiple of y and b*(3 - 2) + 2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 47 + 31)*(0 - 2 + 3)*(2*q - 2*q - 2*q) in the form v + y*q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1111302263 is divided by 3819?\nAnswer: 3815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*v - 122, -18*v + 148 = 3*s - 20*v. Calculate the lowest common multiple of s and 120.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195117 by 6.\nAnswer: 65039\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 463306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n + 6607 = -213. What are the prime factors of n?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302.64014 + 0.05599?\nAnswer: -302.58415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/6 + 5\/(-4). Put i, -3\/8, 1\/3 in increasing order.\nAnswer: i, -3\/8, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 53 - -1?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - (-5*sqrt(224) - sqrt(14)))\/(4*sqrt(14)\/sqrt(7)))**2.\nAnswer: 847\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -5\/4, -0.05, -4 in decreasing order.\nAnswer: -0.05, -1, -5\/4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 12 = 2*a + 4, -20 = 4*a - 4*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3600 = -11*f - 432. Suppose 0*z + 68 = 4*h - 4*z, 4 = 2*h + 4*z. Calculate the highest common divisor of f and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2163, 8654, 19475, 34626, 54107, 77918, 106059?\n\"Answer: 2165*s**2 - 4*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 13 = 21 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 + 62 - 130)*(-34*s - 16*s - 4*s)*(3 - 1 - 1 + 0 + 0 + 1 + (-3 + 1 + 0)*(1 - 2 - 1) - 1 - 2 + 2 - 1 + 3 + 0).\nAnswer: 3402*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8151 + -1815. Suppose -4*x + 21508 - j = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (3 + 11) - -4. Let p(b) = b + 3. Let d be p(6). Put -2, d, j in ascending order.\nAnswer: j, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 + 7*t**3 - t**3 - 5*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-7))\/a**2*a**9\/a*a**(-1\/7))**(3\/8) assuming a is positive.\nAnswer: a**(-3\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*b**2 + 10*b**2 + 3*b**2 + (5 - 5 + 14*b)*(-b + b + b) as o*b**2 + d + f*b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2)\/9*30\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 56 - 3\/((-3)\/2). Let f = c - 24. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 7*z**2 - 34*z - 6. List the prime factors of r(12).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000413518 to 6 dps.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/((r*r*r*r*r**(1\/7))\/r))\/(r*r\/r**0))\/(r*r**(-2\/7))**48 assuming r is positive.\nAnswer: r**(-255\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c**3 + 1 - 1)*(3 - 1 + 0) - 3 + 2*c**3 + 22 + 2 in the form t*c**3 + a + o*c**2 + p*c and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -15*v**2. Let h(f) be the second derivative of -26*f**3\/3 - 1239*f. Determine h(i(m)).\nAnswer: 780*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 16. Let q be y(-6). Calculate the lowest common multiple of (3 + q)*(-4 - 1) and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**4 + 1076*s**3 - 12248*s**2 + 20160*s = 0.\nAnswer: -280, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeoxpspem. Give prob of sequence px.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5552 + 855. Let g = -4693.937 - p. Let f = g + -0.063. Is -0.06 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -26, -1\/6, 2, -4\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 + 83 + 233297*h**3 + 84.\nAnswer: 233297*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/345 - (0 + 0)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0241 + 381.0241. Let j = 381.3 - m. Sort 40, 0.4, 0, j.\nAnswer: 0, j, 0.4, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v = 0. Solve -i - i = v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + 21*w - 1.\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10}. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10750213 by 61.\nAnswer: -176233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -128, -188, -246, -302, -356, -408?\n\"Answer: u**2 - 63*u - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11991067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m + 445. Let v = 30712 - 30689. Calculate the remainder when m is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 0.03 (c) 1453\/3 (d) -1\/8 (e) 4 (f) 1 (g) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1652869 divided by 4\nAnswer: -1652869\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**21\/(p*(p*p**(-3\/19))\/p*p*p))**38 assuming p is positive.\nAnswer: p**690","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 732 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o - o + (-2 + 4 - 1)*(0 + 0 - 2*o))*(172*o + 875*o + 144*o - 3*o - 4*o + 5*o + (-2*o + 0*o + o)*(1 + 1 + 0) + 1 + o - 1).\nAnswer: -3564*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, u: 5, l: 1, n: 1}. What is prob of picking 1 b and 1 l?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 2.1. Suppose 3*x + 13 = 2*d + 5, 0 = 2*d + 4. Which is the nearest to r? (a) -1\/4 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 - 153. Let c be (-3)\/b*3*(-3)\/(-3). Let o be -1*((-7)\/(-3) - 2). What is the closest to c in -1\/8, o, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -13. Let f(m) = m**2 - 78*m + 1452. Let i be f(47). Sort o, -1, -2, i in increasing order.\nAnswer: i, -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, 22, 30, 38, 46, 54?\n\"Answer: 8*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-15)\/g)\/g)\/(g*g\/(g*g*g**17)) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 10) in base 6?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**3 + 1260397*c*l**2 - 2*l**2 - 1464*l + 60 wrt c.\nAnswer: 3*c**2 + 1260397*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.81 + -0.19. Let o = -8 - f. Which is the closest to o? (a) -7\/3 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 18. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjcwwjwwjccjj. What is prob of picking 1 c and 3 j?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 549301, 549311, 549319, 549325, 549329?\nAnswer: 549331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**5\/60 + p**4\/8 - 2*p**3\/3 - 7*p**2. Give o(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152893 is divided by 642.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*n = -14 + 31, 5*s + n = 2. Let w = -5.17 - -0.17. What is the closest to s in w, -0.3, -4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l\/((l\/l**7*l)\/l*l))\/l)\/l)*l**(-4\/11))\/(l*l*(l\/l**9*l)\/l*l*l\/(l*l\/(l**9*l*l))) assuming l is positive.\nAnswer: l**(-92\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30 + (-98143227)\/(-204))*(-4)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 a factor of 12879927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12948\/(-336))\/13 + -24 + 27.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*p = -18, p - 2 = -o + 4. Let g = 8 - -2. Find the first derivative of -g - 127*z**3 + 109*z**o - 2 wrt z.\nAnswer: -54*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 830 - 301. Suppose -f - 720 = -t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 593128164 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + 61 - (3 - 1) - (26 - 16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 377 + (-273)\/429*-11. Factor -24*z**3 + 2\/5*z**5 - 4608\/5 + 32*z**2 + 0*z**4 + p*z.\nAnswer: 2*(z - 4)**3*(z + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-5*(sqrt(1900) + sqrt(1900) + 0 - sqrt(1900)) + 5 - (4 + (sqrt(1900) - (sqrt(1900) - sqrt(1900)*2*5))))*1)**2.\nAnswer: -300*sqrt(19) + 427498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -60.45 and -0.0211745578.\nAnswer: -60.4711745578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 108844.3 * -114\nAnswer: -12408250.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -9*d**2 + d + 2. Let r = -542 - -544. Give w(r).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 497316 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q + 326. Give x(2).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -50538754 divided by 3?\nAnswer: -50538754\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -29. Solve 6 = 21*o - z*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2 - 2)*(3*z**2 - 4*z**2 - 15 + 3*z**2) - 3*z**3 - 3*z**3 + z**3.\nAnswer: -9*z**3 + 30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1472180, -1\/11, -3 in ascending order.\nAnswer: -3, -1\/11, 1472180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-368)\/(-20) + 2\/(-5). Let x = z - 35\/2. What is the third smallest value in -3\/5, x, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 21*c**2 - 23*c + 2. Calculate the remainder when x(-20) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22012 and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, 0.3 in ascending order.\nAnswer: -2, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 17*r**3\/6 - 23*r**2\/2 + 3*r. List the prime factors of y(8).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39000 and 3004125?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhz when three letters picked without replacement from jezzjhedhfheehjehjj?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69052 and 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -7 + (-1)\/(-1)*(-2900)\/(-348)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.4608934 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -12*p. Let w(q) = q. What is y(w(t))?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 11 = u + 2*y, y = -5. Suppose 0 = u*h - 213 + 141. Calculate the highest common divisor of h and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1754 and 20121011?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 4*h**2 - h + 6*h - h + 3*h**2 to the form g*h**2 + b*h + x and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 185643441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011104 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -63226497\nAnswer: -63226498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 103, 1, 289, 16 in descending order.\nAnswer: 289, 103, 16, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.05 (b) -1\/5 (c) 0.2 (d) 0.5 (e) -158\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (7442\/305)\/(2\/(-310)*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 79*d**3 + 10*d**3 - 24*d**3.\nAnswer: -93*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -3423\/58, 2\/3 in descending order.\nAnswer: 3, 2, 2\/3, -3423\/58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.047, -3\/8, 2?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 39 and -6193726?\nAnswer: 6193765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Let m be (-56)\/(-196) + 605\/910*2. Which is greater: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496755 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = w - 4*t + 3*t, -4*w - 15 = -3*t. Which is the third biggest value? (a) -0.5 (b) 2\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/4*(32\/(-8))\/(24\/4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from ttwtwttwtttwtwtttww?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10220222 (base 3) to base 6.\nAnswer: -21125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*v**3 + 455*v**3 - 143*v**3.\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l. Let m be g(-9). Let t(u) = 5*u + 5. What is the remainder when t(m) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3339\/(-2226))\/((-6)\/(-32))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 10) to base 9\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, p: 7}. What is prob of picking 1 h and 2 p?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 424460*m - 25 + 212219*m + 212227*m + m**4 + 2*m**2 as y*m + w*m**2 + h*m**3 + z*m**4 + a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -176 (b) 0.1 (c) -54 (d) -2\/3 (e) -1 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggwhghh. Give prob of sequence whg.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54*-4*2\/(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7145692 is divided by 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-286)\/8) + 2142\/(-2652)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82309?\nAnswer: 53, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -b + 44. Suppose -b = -2*y - 3*s - 7, -2*y = -5*s - 5. Let k = 17 - 12. Calculate the greatest common divisor of y and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/11))\/(p\/(p**(-1\/6)*p))*(p**(-2\/7)*p)\/p**(-4)*(p\/p**0)**(-2\/17)*(p*p\/(p**2*p)*p)\/(p**3*p) assuming p is positive.\nAnswer: p**(9803\/7854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13\/3 + 14\/3. Which is the closest to g? (a) 2 (b) 0.1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:29 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 3. Let n be o(7). Let h = -0.05 + -0.35. Let q = 0.4 + h. Put q, n, -4 in descending order.\nAnswer: n, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Suppose -5*i = 3*t - 19 + 4, -2*i - 4*t + 20 = 0. Suppose 2*v - 24 = c*x, v - 2*v + x + 9 = i. Calculate the highest common divisor of 24 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/4 of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -5*z**3\/3 - 15*z**2\/2 + 50*z - 54. Let j(u) = 0. Calculate u.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*v - 5. Calculate the remainder when -5 - (-12)\/v*-43 is divided by 66.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31616, -31618, -31620, -31622, -31624, -31626?\n\"Answer: -2*f - 31614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 12*u**2 + 29*u - 74. Calculate the remainder when 252 is divided by y(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 7:45 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 122965 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**3 - 15*n**2 + 24*n - 20. Calculate the remainder when o(6) is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10687508 and 26.\nAnswer: 10687508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2464 and 4708.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 7065*k - 147924.\nAnswer: -(k - 7044)*(k - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**8\/6720 + j**7\/630 - j**6\/144 + j**5\/40 + 3*j**4\/8 - 42*j**2. Let h(k) be the second derivative of o(k). Give h(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12498 + -7870. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 at least 4\/5838761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 p, and 1 u when four letters picked without replacement from pppdpppppupudppa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1 + 2*z + 1. Let t(v) = v**3 + 7*v**2 + 2. Let n be t(-7). Let g(l) = 1 - 1 + n*l. Calculate j(g(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240889868.\nAnswer: 2, 3, 37, 103511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.18, 9, 0.1.\nAnswer: -3, -0.18, 0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -11*j + 7*j. Calculate the remainder when 61 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 1 (c) 0 (d) 2.4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4881141.9 rounded to the nearest ten thousand?\nAnswer: 4880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 646749*h**3*m**2 + 208869*h**2*m**2 + h + 2 wrt h.\nAnswer: 3880494*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209539 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - -0.1. Let w = u + -0.4. Let q be 6\/39 - (-1)\/(-13)*2. Which is bigger: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 7:14 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8995*11\nAnswer: -98945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1490 + 6111. List the prime factors of m.\nAnswer: 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + sqrt(2) - (3 + (sqrt(128))**2).\nAnswer: -132 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**39*v**(-1\/12)\/v**(3\/4))\/(v*v**(1\/4)*((v*v**(-1\/9))\/v)\/v*((v**(-2)\/v)\/v)\/v**(5\/2)) assuming v is positive.\nAnswer: v**(-2609\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 449 - 307. Solve -4*t + m - 126 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000465082554 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i - 2*a, i + i = 2*a + 4. Let n = 223 + -208. Sort n, 1, i in descending order.\nAnswer: n, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 - -66b?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1223519103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 20*t**2 - 22*t - 5. Let y be s(-19). Calculate the highest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1741067812 + 0.00407\nAnswer: -0.1700367812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 220151508 a multiple of 886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -25.896. Let f = i - -0.14. Let k = f + -0.0360021. What is k rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -14, -29, -50?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/4 - (-1)\/(-4). Let y = -56.8 - -53.8. Let i = -0.1 + -1.9. What is the closest to q in 0.5, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 6*a. Let l = 7 - 5. Suppose -t - l = -8. What is the lowest common multiple of b(4) and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 - (-680)\/(-7140). Which is smaller: z or 2\/457?\nAnswer: 2\/457","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41.33652 meters?\nAnswer: 41336.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 235, 5, 3, -3, -4 in descending order.\nAnswer: 235, 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 450*o**2 + 20625*o - 250000.\nAnswer: (o - 400)*(o - 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45164861 rounded to two decimal places?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 12:44 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153461 is divided by 73.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2187 - 1.7187. Let c = -0.02 + 4.02. Suppose -y + 6*y + 25 = 0, 0 = -4*f - y + 7. What is the third smallest value in f, 2, c, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(-2\/29)*k)\/k))\/k*k**(3\/4) assuming k is positive.\nAnswer: k**(-37\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*g + 3*y, 2*g - 2*y = 22330 - 22346 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/4 of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(3) + 3 - sqrt(12)\/sqrt(16) - sqrt(96)\/(sqrt(20)\/(sqrt(30)\/sqrt(3))))*3.\nAnswer: -21*sqrt(3)\/2 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4 + 1512*v**3 + 22326*v**2 + 71008*v - 94848 = 0. What is v?\nAnswer: -741, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-64)\/(-5))\/(9\/(-45)). Let o = 80 + b. Suppose a + 12 = r + 3*r, 0 = -4*a + o. Let h(x) = x - 3. Calculate h(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -36267, 4.8, -36 in increasing order.\nAnswer: -36267, -36, 3, 4.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 674 * -5\nAnswer: -3370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 + 5*a**2 + 28*a + 100. What is the least common multiple of z(-6) and 153?\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -1. Let f(a) = 4*a**2 - 2*a - 1. Let d(s) = -11*s**2 + 5*s + 3. Let o(r) = -3*d(r) - 8*f(r). Determine o(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + (-2080)\/(-6))*2\/(2\/381) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -17) + -12 - -41\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 15. Let c be o(6). Let k = -7 + c. What is the highest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -31. Suppose 46 = 3*d - b*r, -3*d - 2*r = 2*d - 87. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -52.04. Let i = -0.14 + m. Let w = i - -1.1000116. What is w rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1305398841?\nAnswer: 3, 61, 101, 70627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6 - (-11)\/3. Suppose -n*m - o + 1 = -3, 4*o = -4*m. Suppose 7*q - m*q = 25. Solve 0*s = -q*s - w - 4, -4*s - 7 = -3*w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*i**3 - 14*i**2 - 10*i**2 - 3*i**4 + 135*i - 87*i**2 + 10356 - 10410.\nAnswer: -3*(i - 6)*(i - 3)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 10*w + 18. Let c be p(-8). Determine o so that -1\/2*o**2 - 3\/2 - c*o = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 32 = 2*v, 10*v - 7*v - 4*r = -37. Let n be (-8)\/(-2) + 42*(-5)\/v. Factor n*b**3 + 0*b + 63\/4*b**4 + 3*b**2 + 0 - 147\/4*b**5.\nAnswer: -3*b**2*(b - 1)*(7*b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from lylslrrcyyrryyy.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -111 and -2.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 14*t**2 + t - 138. Let y(n) = 3*n - 25. Let o be y(4). What is the remainder when 136 is divided by c(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 23*k - 45. Let f(h) = 64*h - 126. Let b(d) = 5*f(d) - 14*g(d). Let c(w) = 3*w - 1215. Determine b(c(o)).\nAnswer: -6*o + 2430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*w**4 - 1)*(-57 + 39 - 69)*(-w + 5*w - 2*w)*(-4 - 2 + 4)*(28 - 7 + 5).\nAnswer: -45240*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -3124974?\nAnswer: -3124970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 71\/3 + (-6)\/9. Suppose -2*u - m = -73. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b6337 (base 14) to base 13\nAnswer: 125184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8118 + 19*t + 8118 - 1 - t + 1 + 0 - 2*t + 0 + (t - t - t)*(-1 + 1 + 2) + 0*t + 0*t - t)*(3*t + 6 - 6) in the form m*t + o*t**2 + j and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9*(-1566)\/(-580)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**4 - 2*t**3 - 17 - 32*t**4 - 3*t**4 - 4*t**4 + 29*t**4 + t + t**2 to o*t**4 + u*t**3 + i + h*t + d*t**2 and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1106 - 0.05.\nAnswer: 0.0606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.8 take away -110.42?\nAnswer: 139.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0. Let r = 0.3 + i. Suppose 12 = -4*l + 8*l. Which is the biggest value? (a) r (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 102725 and -26.48.\nAnswer: -2720158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 1\/3, 0.2, 0.1899?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -27*k + 76. Let u be x(-7). Suppose 20*b = 24*b - 324. Let s = u - b. Is s a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*l**6 - 4*l**5 + 11*l**2 - 23.\nAnswer: 7440*l**3 - 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**2*l*l*l\/((l\/l**9)\/l)*l*l*l)\/(l*l**(-2))**(-16\/9))**29 assuming l is positive.\nAnswer: l**(3190\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/308249?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 12 = -h, k - 2*h + 3 = 0. Let d be 7\/k - 15\/15. Which is the nearest to d? (a) -2\/17 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - i + 3. Let n be m(0). Suppose -19*a + 23*a = -4*j + 100, -j + 109 = 5*a. Calculate the greatest common divisor of a and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646 >= -969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5*w**3 - 2)*(-5 + 2 + 1).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = j - 10, 5*b = -20*j + 18*j - 6. Let u(n) = -n. Let x be u(-1). Let k be 1\/(x\/4)*1. Solve -k = 3*t + j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -17. What is the third smallest value in 2\/35, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85614 and 45?\nAnswer: 1284210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 0.3, 0.4, -12\/55, -3.\nAnswer: -3, -12\/55, 0.3, 0.4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 225*p**2 + 4615*p + 6460 = 0.\nAnswer: -19, -68\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6266249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 280.89 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 1. Let b(y) = 10*y - 4. Let t(d) = -b(d) + 4*q(d). Does 14 divide t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3 = 3*z, 315*f + 8 = 321*f - 2*z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 5*r - 8, -5*r = 5*l - 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -49.\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283453492 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2438619 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 392121197 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.23 from -1838514653877.\nAnswer: -1838514653877.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 1 + (4 - 2 - 1)*(4 - 2 - 1) + 1 - 1 - 2 - 1 + 1 - 2 + (3 - 1 - 3)*(-1 + 1 - 2))*(-23*j**2 - 23*j**2 - 11*j**2).\nAnswer: 456*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226800 divided by -2268.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -462.1373 - 0.5627. Let o = n + 486. What is o rounded to 0 dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383373447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 17*o + 32. Calculate h(18).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/7))**(1\/17))**1*(((f**0*f)\/f*f)\/f)**1\/(f*(f*f**(1\/4)*f)\/f*f)**(-1\/4) assuming f is positive.\nAnswer: f**(1515\/1904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -320 + 52. Suppose 2*x + 9 = u. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23649.64 millilitres to litres.\nAnswer: 23.64964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -4*x + 26 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-2 - -1)*(-1)\/2. Let q be (2\/(12\/(-46)))\/(x\/(-24237)). Suppose u - 527813 + q = 2*g, -8 = 2*u. Round g to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 96*g + 68*g - 59 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = -14*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3827 = -271*w - 304. Solve 3*k + 41 = 5*i, -i + 16*k = 13*k - w for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 325 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvviadd. What is prob of sequence ai?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, -2\/31, -0.2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3162 divided by 17\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 358 + -353. Suppose 4*r + g*o - 10*o = 26, -2*o = 4*r - 12. Solve -2*f - 5*q = -27, -r*f + 4*q - 16 = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -3. Let f be (p - 12\/(-11))*-2. Which is the nearest to f? (a) 1\/2 (b) -1\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-3*p + p + 5*p)*(0 - 6 + 4)*(-p + 2*p + 0*p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5773000 and 100.\nAnswer: 5773000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p\/p**(1\/9)))\/p*(p\/(p*p\/(p**(-8)\/p)))\/p)\/(p**(4\/11)*p**(-5\/7)\/p*p*p))**(-45) assuming p is positive.\nAnswer: p**(39980\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 334*v**2 - 163*v**2 - 151*v**2 + 45 - 38*v - v**3. Let a be c(18). Let l = 7 - 4. What is the greatest common factor of l and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 21, 45, 79?\n\"Answer: 5*c**2 - c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {i: 2, a: 12, v: 3}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10852 + -8569. Which is greater: u or 1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 - 299*f + 294*f + 2 in the form j*f + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276, -556, -840, -1128, -1420?\nAnswer: -1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-260)\/(-8))\/(-13)*(-24)\/(-10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-40)\/(-36) + -7. Let t be 4\/(-18) + (-245)\/(-9). Suppose 0 = -3*v + d - 11, 7 - t = 5*d. Which is smaller: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 1, z: 2, l: 1, t: 1}. Give prob of picking 2 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.062.\nAnswer: 0.0186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-635)\/(-2)*(-48)\/(-60) - -2. Let v(d) = 127*d**3 + 128*d**3 - s*d**3 + d + 4*d**2 - 5. Let n(u) = -u**2 + 1. Give -4*n(x) - v(x).\nAnswer: x**3 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 + 87*s**2\/2 - 355*s\/4 - 132.\nAnswer: (s - 3)*(s + 1)*(s + 176)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**3 + 0*i**2 + 7*i**3 + 0*i**2 - 8.\nAnswer: -i**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -1888889 and -230334.\nAnswer: -2119223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67\/7705*-10)\/((-8)\/(-46)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89079 + 134834. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-33765))\/(7 - 494\/70). Is -1 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - 30)\/(9\/6*(-2)\/4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c + 11500 = -11*c. Let x = c - -724. Calculate the greatest common factor of 24 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/3 - (-2)\/(-4)*4. Let d(c) = -r + 3*c - 10*c - 76*c**2 + 75*c**2. Determine d(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*m + 80 = 3*v, 2*m = -v + 45. Suppose x - v + 20 = 0. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/3 - 31*x**3\/3 + 66*x**2 + 36*x - 792.\nAnswer: (x - 22)*(x - 6)**2*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:59 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 36279097 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66737 + 101986. Is 35 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6101272?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 147?\nAnswer: -4\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 193*n + 1124. Let p be s(-6). Factor 40\/7*g**p + 8 - 132\/7*g.\nAnswer: 4*(2*g - 1)*(5*g - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*u + 40*u + 30*u - 5 - 5 + 42*u.\nAnswer: 12*u - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 - 206160*p\/7 + 5312743200\/7.\nAnswer: 2*(p - 51540)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30 (b) -1.56 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**3 - 54*f**2 - 53*f - 8. Let z(s) = 3*s**3 - 18*s**2 - 18*s - 3. Let b(c) = 3*j(c) - 8*z(c). Suppose b(a) = 0. Calculate a.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 355495570 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 97, -5, 1 in descending order.\nAnswer: 97, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504626412.\nAnswer: 2, 3, 277, 151813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2 - 2502*o + 166659 = 0.\nAnswer: 73, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + j + 9 = d, 5*d = -3*j + 17. What is the second derivative of -13*t**4 + 7*t + 9*t**4 - 5*t**d wrt t?\nAnswer: -108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 8*i + 1. Calculate j(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/30636 and -81\/6808.\nAnswer: 61272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -45?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1.1, -2\/31, 3.\nAnswer: -25, -2\/31, 1.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 3*q = -9, 4*a = 5*a - 5*q + 29 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -334*g**2 + 5*g + 1. Let u be h(-7). Round u to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) 0.5 (b) 4 (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -m - 2*i, -2 = -5*m + 4*i + 16. Suppose 5*z - 25 = 0, m*z - 19550 = -3*n - 2*z. What is n rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-55)\/15*3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -13. Suppose 3*c - 5 = r. Let j be (18\/(-16))\/((-3)\/c). What is the smallest value in 1\/3, 5, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4823489, 4823456, 4823423, 4823390?\nAnswer: 4823357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + z + 2635, 6*a - 5*z = a + 2655. Let x = a - 460. What are the prime factors of x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 9:25 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3128 - -3128. Solve 3*x + 9 = 0, 5*s = -j*x - 2*x + 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 16 = -c, 4*f + 12 = 3*f - 4*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**2 - 21978950*p + 120768560775625 = 0.\nAnswer: 10989475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 209*s + 10229. Give w(-134).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85029 = 10*x - 959771. What is the tens digit of (6\/(-9))\/(6 + x\/(-17412))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3470 - 0?\nAnswer: -3470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -2. Suppose 0 = v*r - 3*r - 24. Suppose -3*t + 5*d + 4 = 0, 3*t + 2*d = 3*d + r. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n**2 - 6*n - 2. Let u(y) = -y**3 + 6*y**2 + 2*y - 8. Let h be u(6). Let r(x) = 4*x**2 + 5*x + 1. Determine h*r(w) + 3*k(w).\nAnswer: w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3782998.\nAnswer: 2, 1891499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3140333 (base 5) to base 6.\nAnswer: -1043253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (-2 + 0)\/(2\/2). Let d(q) = -4*q - 11. Let k be d(a). What is the derivative of 198*p**2 + k - 4 - 208*p**2 wrt p?\nAnswer: -20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24684 or 13.44?\nAnswer: 13.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/7 + 140*y + 982\/7 = 0. Calculate y.\nAnswer: -1, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -3*l. Suppose -4*g - g + 50 = l. Solve o - g = 6*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 478*f**2*j**5 - 2*f**2*j + 3*f**2 + 40*f wrt j?\nAnswer: 9560*f**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(7*l - l - 3*l) + (6*l + 0*l - 4*l)*(-1 - 1 + 0) - 2*l + l + 0*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10123 + 11?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 475 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/6 + 21*l\/2 + 30.\nAnswer: (l + 3)*(l + 60)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134727*v**2\/4 - 8555163*v + 381 = 0.\nAnswer: -254, 2\/44909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -34*u**2 - 24*u - 8. Let o(z) = -34*z**2 - 19*z - 6. Let b(t) = -3*d(t) + 4*o(t). Let w(i) = i**2. Calculate w(b(q)).\nAnswer: 1156*q**4 + 272*q**3 + 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 196792140 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/11 - 17\/33. Which is the closest to f? (a) 0 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.64 + -1.58. Let w be -5 + (2 - (1 + 0)). What is the closest to -1 in w, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5681 + -11359\/2. Let r = 2.7 + -3. Which is the closest to 0? (a) m (b) 1.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 w when four letters picked without replacement from lwlllllwl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 118*f**2 + 1040*f + 35. Is s(-26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 715 + ((-12)\/21 - (-20)\/35). Suppose 19*n + 164 = d. Solve n*p - 24*p = -10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -252466?\nAnswer: 252465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 2412*p - 70794. Determine v(29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3729868 is divided by 699?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1660 + -351488?\nAnswer: -353148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m + 4*m + 22*m.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*35\/(-21)*12\/(-8)*1. What is the nearest to 0 in -4, 1\/18, a?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 + 11*x - 11. Let m be f(-6). Let y = 47 - m. Let o be ((-1)\/(-1))\/(4\/y). Solve -l - o = -1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10*c**2 - 198*c - 30. Determine l(-22).\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3847015077783499\/1898606669844100 - 1794\/14153918815. Let s = x + -3\/35300. What is the common denominator of s and 70\/3?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 1. Suppose -75 - 73 = 196*y + 48. Let r(s) = -1. What is y*l(j) + 2*r(j)?\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + -1554?\nAnswer: -1563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(60) + sqrt(120)\/sqrt(32))\/(6*(sqrt(300) + sqrt(300)*1)*3).\nAnswer: 17*sqrt(5)\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.07 + 0.07. What is the smallest value in 1, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 15, -2, -38, -1\/7, 3\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 17 (c) -2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h + 7*h + 0*h - 7. Let s be r(-3). Let i = s - -15. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9\/y)**(-44) assuming y is positive.\nAnswer: y**(-352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.9 - 310.307.\nAnswer: -316.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2571, 1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38.2 + 7.8. Let j = -45.9946 + d. What is j rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5581937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 3*u + 0*u)*(0*u**2 + 0*u**2 + 2*u**2) + (-3*u**3 + 2*u**3 + 2*u**3)*(3 + 16 - 2) + (3*u - u + 0*u)*(-3 + 3 + u**2) - 2*u**2 + 4*u**3 + 2*u**2.\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 12 + 2\/5*p**5 - p**7 + 0*p**6 + p**3 + 13\/2*p**2 + 0*p + 0*p**4. What is the third derivative of r(j) wrt j?\nAnswer: -840*j**3 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 4*c**2 + 2*c - 6. Let o be s(4). Let z(d) = -d**2 + 101*d - 574. Let h be z(6). Sort -8, o, h in descending order.\nAnswer: o, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 42999512.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*u - 4 = 237, 3*u - 3 = 0. Suppose 2*d - 2*y = -13 + 15, 5*d + 4*y - 5 = 0. Is d greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74540524969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8386 = -187*k - 39*k - 4270 for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1039 + -1049. Sort 3, -2, -5, f.\nAnswer: f, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1418 + 2477. What are the prime factors of d?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0.5, -23797 in descending order.\nAnswer: 4\/7, 0.5, -23797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -347, 0.5 in descending order.\nAnswer: 4, 0.5, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3*d + 45 = -39, -3*w - 90 = 108*d - 111*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 377 and -0.0155538?\nAnswer: -5.8637826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3383, 3647, 3911, 4175, 4439, 4703?\nAnswer: 4967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -319001489 rounded to the nearest ten thousand?\nAnswer: -319000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.399 + 15.101. Let k = a + -15.504. Round k to 4 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4299855 and 5284.\nAnswer: 17199420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r + 0*r - 5*r - 15*r**3. Let j = 51447 + -51446. Give z(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 12*q. Suppose -3*t = q, z - 1061 = 2*t - t. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84150 is divided by 87?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39350139 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50058, 49864, 49672, 49482?\nAnswer: 49294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 118 divided by 256\nAnswer: 59\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -93, -172, -237, -288, -325?\n\"Answer: 7*b**2 - 100*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x + 30 = 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/s**(-3\/4))))**(-46))**35 assuming s is positive.\nAnswer: s**(-5635\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**4 + 1268216*m**3 - 100521970692*m**2 - 201047746048*m - 100524507136 = 0. Calculate m.\nAnswer: -1, 158528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 344583\/476515 + -2\/36655. Let p = 12\/13 - h. Factor 1\/5*m**3 - p*m + 0 + 0*m**2.\nAnswer: m*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 + (0 - 3) + 31*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16126.65ml?\nAnswer: 16.12665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 31*c - 10 = -29*c, -3*c - 12 = 0. Solve 1\/2*n**j + 9\/2 + 3*n = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -p + 155, -2*p - n + 331 + 0 = 0. Solve 0 = -3*o + 160 - p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1358*o**2 - 2*o + 1310*o**2 + 4*o in the form v*o + w*o**2 + s and give w.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35 - 100 - 939*r**3 + 1011*r**3 wrt r?\nAnswer: 216*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 5:18 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 8*f - n - 19658, 5*f + 2*n - 24566 = 0. Suppose 330 = -8*p + f. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-9) + 3)\/(20\/(-60)). Sort -4, b, 1, -5.\nAnswer: b, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 5. Let w be c(5). Suppose -12 = -w*j - 6*j. Suppose 0 = 3*u - j*u - 5. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264277 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*p - 10 = -38, 3*p = 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3476\/3 + 1158. What is the closest to 0 in -0.3, 1.7, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3308, 0, 3, -2, 7, 17 in descending order.\nAnswer: 17, 7, 3, 0, -2, -3308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11090 + 11375. Calculate the least common multiple of 342 and s.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1 - (-6)\/10). Let f(i) = i**2 - 40*i + 378. Let o be f(25). Suppose l*c = o*c + c. Solve c*x + 2 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8017\/10 + 806. What is the common denominator of -79\/8 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (165\/(-45) + 5)\/(-26)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l**2 - 26*l - 7. Determine u(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 663 and 15?\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1876389 - 1894659 = -290*o for o.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -13*m**7\/210 - m**5\/60 + 2*m**2. What is the third derivative of k(h) wrt h?\nAnswer: -312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16664261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0312 and 0.4.\nAnswer: 0.01248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + w**2 + 12. Let d be t(0). Let b = 6 - d. Let s be 2\/b - 13\/(-3). Solve -n + s*n + 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 84 = -3*z, -4*y = 48*z - 50*z + 32. What is the remainder when z is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 2*t**2 - 2*t - 1. Let g(w) = 4*w**3 - 9*w**2 - 7*w - 13. Let m(s) = g(s) - 3*n(s). What are the prime factors of m(10)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3092*h*p**4 - 41*h*p**3 + 4*h*p - 993*h + 9*p**3 - 418 wrt p?\nAnswer: -37104*h*p**2 - 246*h*p + 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10438636\/35 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 282, 25, 2, -1, -2, 1, 196 in increasing order.\nAnswer: -2, -1, 1, 2, 25, 196, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4. Suppose -4*b + 11 = 2*a - 91, -3*b + 3*a + 99 = 0. Suppose 5*i = s - b, 2*s + 4 = -i - i. Solve c = d - 1, -r + 5*d - 1 = s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3770371.6 rounded to the nearest one hundred thousand?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7245, -14492, -21739, -28986, -36233, -43480?\nAnswer: -50727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -21*l**2\/2 - 255*l - 4412. Calculate n(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 6*x**2 - 6*x + 8. Let y(w) = -w**3 - 4*w**2 + 3*w - 3. Let n be y(-5). What is the remainder when 43 is divided by a(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 6*j + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**5 - 35*g**4 + g**3 - 233*g**2 - 2201334*g wrt g.\nAnswer: 40*g**3 - 420*g**2 + 6*g - 466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/661857 and -129\/70.\nAnswer: 6618570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8*z - 42 = 0. Let d(n) = 2*n**3 + 4*n**2 - 13*n - 13. Let r be d(z). Suppose 8*l - 251 = r. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3.4 (b) -0.03 (c) -2\/3 (d) 1 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k - 2154 = -24036. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-640)\/96*1575\/(-750)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15731\/11 + 1427. Let s = 70971581168\/835 + -169991791\/2. Let a = s - 132\/167. What is the common denominator of r and a?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20973, 20720, 20293, 19686, 18893, 17908?\n\"Answer: -t**3 - 81*t**2 - 3*t + 21058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54437*l**2 + 338079 wrt l.\nAnswer: -108874*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46523756?\nAnswer: 2, 23, 505693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -167*m**3 + m**2 - 3*m - 3. Suppose 0 = -z + 3*z + 2. Let s be w(z). Calculate the highest common factor of 21 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 0.404?\nAnswer: -5.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83.9 - -84. What is the nearest to r in 5, -3\/8, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 5*p**2 + p - 2. Determine t(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-120) + ((-5092)\/15)\/(-4). Let k = u - -33. List the prime factors of k.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000199578673 rounded to six decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4117, -8243, -12363, -16471, -20561?\n\"Answer: b**3 - 3*b**2 - 4124*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*g + 50. Suppose 2*v = -4*h - 22, 3*h + 3*v - 4 = -g. Is (-5466)\/(-8) + h\/16 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14*9\/12*28\/6. Let c = -43 + d. Suppose c*s - 78 - 42 = 0. Solve 9*j - 5*k = 4*j - s, 2*j - k = -9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/3 + (96\/36)\/8. Let i(t) = t**2 + 4*t - 29. Determine i(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4 + 9*s**3\/2 - 11*s**2\/2 + 2 = 0. Calculate s.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 8:37 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -186 + 198. Let w be 1 + -1 + (-1 - -2). Suppose 21 = l - w. Calculate the remainder when l is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-1)\/1)*3\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.965 + 11.705. Let j = x + -5.01. Let l = 41.57 + j. Round l to 0 dps.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 7*k**2 - 8*k - 1. Determine i(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-29\/2)\/u**43 assuming u is positive.\nAnswer: u**(-115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*w = 66, -2*y = 2*w - 69 + 3. Let v be y\/2 - 1\/2. Let p = -3 + v. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -0.04 (c) -53 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**6\/180 + 7*w**3\/6 - 19*w. Let r(s) be the second derivative of i(s). Let p(d) = -12*d - 2. Determine p(r(f)).\nAnswer: -24*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -18, -2, -34 in increasing order.\nAnswer: -34, -18, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = k + 2*k + 4*t, 5*k - 3*t - 1 = 0. Suppose -4*l = -l - 39. Let a = l - k. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.21 (b) 19 (c) 3 (d) -0.007\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {x: 2, q: 1, v: 2, l: 1, a: 1, p: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2672989?\nAnswer: 11, 242999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + s - 8, s - 10 = -5*i - s. Let o be 726\/8 + -2 - 15\/20. Suppose -o*y = -93*y + 5. Calculate the remainder when i is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -0.52. Let m = 2.98 + l. Let q = -0.41 + -2.59. Sort m, q, 0.4.\nAnswer: q, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40751 + 1346485*n + 40751.\nAnswer: 1346485*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1750 by -2.\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2098 divided by -2\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 56 = 14*t, -4*c - 4*t - 3194454 = -3194418 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 11*z + 7*z - 27*z - 16 as u + a*z and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/39271 and 35\/942504?\nAnswer: 942504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*f - 29, -f - 16 = -5*c + 3*c. Let j = f + 15. Solve 10*l = j*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (0 + -2)\/2 - 2. Let v be (-9)\/(y\/(-2)*(-2)\/2). Is (155 - v)*(-1)\/((-1)\/1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r + 17. Let q(d) = 4*d. What is v(q(t))?\nAnswer: 28*t + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 - -2. Let r = 2156\/1605 + -158\/107. Let w = -10 - -5. Which is the closest to 10? (a) r (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - 4*sqrt(1250) - ((sqrt(500)*2)\/sqrt(10) + sqrt(50)))\/(-1*sqrt(90) - sqrt(30)\/sqrt(75)).\nAnswer: 55*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 298181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 709813 - 202172. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 a, and 2 g when four letters picked without replacement from gagvvgggmapa.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*p + 9 + 137*p - 9 - 3*p**2.\nAnswer: -3*p**2 + 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 9*g. Let c(n) be the second derivative of n**3\/3 + n + 13. What is q(c(b))?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eexx when four letters picked without replacement from evxxxxvxxvexxxxvxvx.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 + 204\/54. What is the hundreds digit of (-1 - 31\/m)*-100?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - r = -24, -4*w + 6*w + 2*r - 16 = 0. Let m be w*-1 - -1 - -5. Solve 5 - 1 = m*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 4*b + 2. Let y be t(4). Suppose 4*q - 3 = -z, q + 1 = y*z - 5. Calculate the remainder when 7 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -171, -1416, -3801, -7326, -11991, -17796?\n\"Answer: -570*m**2 + 465*m - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**3 - 2281*y**2 + 397*y - 6192. Calculate b(380).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -3) + 3 + (2 - 28)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccm when three letters picked without replacement from cmffmmpmfpmcgfmcpfmg.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -3\/229, 3994 in ascending order.\nAnswer: -0.09, -3\/229, 3994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = 1 - 43. Find the third derivative of -i**2 + 109*i**4 + 9*i**w - 109*i**4 wrt i.\nAnswer: 1080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -105 + 5. Suppose -5*f - 3515 = -2*c, 3*c - 1296 = -2*f + 3986. Suppose 5*g - 13*g = -c. What is the greatest common divisor of h and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(6\/(-556))*3\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76146?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1336 and -0.4?\nAnswer: -534.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 + r + 1. Let g be s(3). Let l be ((-4)\/(-14))\/(9\/g). Suppose 5*a - 15 = 5*c, -5*c + 3*a - 8 = -c. Sort l, -0.5, c in decreasing order.\nAnswer: c, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30*(-6)\/(-120))\/(1\/(-2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/821 (b) -0.1 (c) 4 (d) 129 (e) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, -2\/19, 1.3, 2.4, 17, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14251 is divided by 1027?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1626415603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2872489.9999384 + -2872505. Let p = s - -15. Round p to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/2 - (-2 - 3). Solve -5*o - 35 = 3*d + 2*d, -3*d + 14 = -c*o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 111100000000?\nAnswer: -111100000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(3\/10)*n\/n**1*n**(-1\/23)\/(n\/(n**(1\/14)*n*n*n)))**32 assuming n is positive.\nAnswer: n**(70272\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 34360 in increasing order.\nAnswer: -2, 2, 34360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, a: 2, g: 4, t: 1, w: 3}. Give prob of sequence sg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 67.751469ns?\nAnswer: 0.0000000000188198525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)\/sqrt(9) - sqrt(7) - (6*(sqrt(7) + -1) - sqrt(7))) + (sqrt(63)*-6 - sqrt(84)\/(sqrt(36)\/sqrt(3) + sqrt(12))) + 5)**2.\nAnswer: -473*sqrt(7) + 13427\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8389 + 1.05945. Let w = x - 0.22. Round w to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + s + 11, 0*s - 32 = -4*f + 4*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**5 - 11*i**4 + i**3 + i**2 - 5. Let p(x) = 6*x**4 + 3. Let u(y) = -3*b(y) - 5*p(y). Factor u(k).\nAnswer: 3*k**2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 75. Let w = l - -60. Suppose -i = i - w. Let f(r) = -r**3 + r**2 + 3*r + 4. Calculate f(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1035 and 20700.\nAnswer: 20700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 158 + 295 = 7*j + 159, -5*j + 4*f - 11 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 82447424 and -15.1.\nAnswer: 82447408.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*i**2 + 28*i**2 - 4 + 3)*(-2*i**2 + 0*i**2 + 0*i**2) + 0*i + 4*i**4 + 0*i.\nAnswer: 12*i**4 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -u + 3. Suppose u*o - 28 = o. Suppose 4*h = 4*t + 304, -4*t - 375 = -o*h - h. What are the prime factors of h?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47352*o**2*t**3*x + o**2*t**2*x**2 + 5*o*t**3*x + 2*o*t + t**3*x - 425*t**2*x**2 wrt o.\nAnswer: 94704*t**3*x + 2*t**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-10 + (-135)\/(-18)). Solve n*c + 1 = 4*z - 14, -2*z = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 793, 4133, 12609, 28789, 55241, 94533, 149233?\nAnswer: 221909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 153\/(-5) - 4\/10. Let r = 67 + m. Let c be (-2)\/(-9) + 388\/r. What is the greatest common factor of 121 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 1:19 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 777.0383mg in grams?\nAnswer: 0.7770383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 12:52 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2835655?\nAnswer: 5, 19, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5960514298 to the power of 1\/3, to the nearest integer?\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 636968084 to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6291395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3551)\/7035 - 2\/30?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-2)*1*(-3)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 17*o + 48. Suppose -2*h - 30 = -l - 9, -5*l + 94 = h. What is the lowest common multiple of s(l) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37656906 by 6276151.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 271*a**5 + 436*a**2 wrt a?\nAnswer: 16260*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - w - 1. Let h = 2 - 5. Let c(l) = l**2 - 3*l - 2. Let x(k) = -k**3 + 5*k**2 + k - 13. Let t be x(2). Give h*u(f) + t*c(f).\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-103)\/(257088\/1014))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6084.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let c(l) = 135310128*l**2. What is a(c(x))?\nAnswer: -135310128*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-282)\/(-4) + (-99)\/(-66) is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15262?\nAnswer: 2, 13, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1558 + -1558.08. Which is the second biggest value? (a) 11 (b) u (c) -3\/8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-12))\/(3\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-146)\/4)\/(1\/2). Let l be (0 - 0 - 111)\/((-21)\/(-14)). Let t = l - y. Which is bigger: 1\/117 or t?\nAnswer: 1\/117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.129+-10896\nAnswer: -10895.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 5*q = 6*z - 5, -28 = -2*z - 4*q. Suppose 5*g = z*g + 3. Let j = -39673\/6 + 6612. What is the second biggest value in j, -4, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 66 = -25*d. Solve a = -5*r - 1, 2*r = 3*a - r + d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 468553813 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2091774, 2091769, 2091762, 2091753, 2091742?\nAnswer: 2091729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zse when three letters picked without replacement from rsieyszyz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3600?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + f)*(3 - 3 + 2 - 2 + 0 + 0 + (3 - 2 + 0)*(2 - 1 - 2))*(-52 - 26 - 45) as j*f + r and give j.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 0*x - 878*x**3 + 2*x.\nAnswer: -878*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.3 (b) 1.8 (c) 2 (d) -14 (e) -2\/7 (f) 5 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*m - 920924 = -921494 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1998\/(-243)*(-2259)\/251\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s - s + 3*s + 1)*(202*s + 29*s**3 - 202*s) as h*s**2 + r + f*s + i*s**3 + d*s**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t - 24*t = 12663. Let v = -971 + t. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uguuug. Give prob of picking 4 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 49. Suppose d = -2*v - 4 + 12. Let s(m) = 4*m**2 + 4*m + 2. What is the tens digit of s(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 135*k + 80. Determine g(-1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2247*c**6 + 2*c**5 - c**4 - 89142*c**2?\nAnswer: 269640*c**3 + 120*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - z - 21*z**3 - 3 - 2 to the form y*z + k*z**3 + x + w*z**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*h + 77*h - 12. Let l be 0\/(((-4)\/6)\/(2\/h)). Solve -c = -l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -520, -805, -1564, -3031, -5440, -9025?\nAnswer: -14020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24146189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00924272 * 69.\nAnswer: -0.63774768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 2*n + 3*x, -n + 5*x + 77 = -38. Suppose -59 - n = -2*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**7\/7 + 6*g**5 - 50*g**3\/3 - 2*g - 18. What is the third derivative of b(u) wrt u?\nAnswer: -120*u**3 + 720*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 + 257*m**3 - 1 - 3 - 256*m**3 + 7*m**2.\nAnswer: m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.02, -2.5553, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/39 (b) 5208 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5074*i*n**2*y**2 + i*n**2*y + i*n**2 + i*n*y + 2*i*n - 25*i*y**2 + 21*n**2*y**2 - 19*n**2*y + 131 wrt y?\nAnswer: -10148*i*n**2 - 50*i + 42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10)\/((-50)\/1005) + -5 + -6 is divided by ((-84)\/35)\/((-4)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 2*z. Let p be l(-1). Let x be 4 - ((0 - p) + 2). Suppose -37 = -5*v + x. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 20*a**3\/3 - 95. Let o(t) = -t**2. Give q(o(m)).\nAnswer: 20*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 41.7, 2\/5, -6 in decreasing order.\nAnswer: 41.7, 2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 3\/2194, 3\/4, -27?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54946172 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 9:11 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -22*y - 16. Let z be g(-2). Solve b = -5*j + 2*j + 5, 4*b - 4*j = -z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 51 = 2*b - 141, b = 2*o - 27. Let j = o + -7. Let d be j\/(0 + -3) + 24. Calculate the greatest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, 151, 74, -3?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**2 - 24293*j - 10464.\nAnswer: 2*j - 24293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -13*i. Suppose -8*o = -10*o + 4. Let n(c) = -o*c + 0*c - 4*c + 4*c. Calculate p(n(x)).\nAnswer: 26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2 + 4. What is the units digit of 159\/g*26\/39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11897305 divided by 2\nAnswer: 11897305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6*2\/2)\/(-5). Which is the third smallest value? (a) -2\/9 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 11. Let t be g(-3). Put t, 7, -3 in descending order.\nAnswer: 7, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*(-11)\/11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 12 = -0*s. Suppose -12*o + 177 = 33. Suppose o*j - 99 = j. What is the lowest common multiple of s and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 9*c + 10. Let l be h(9). Let m(r) = -r**2 + 11*r - 12. Let f be m(l). List the prime factors of ((-30)\/12)\/(1\/f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 177219 and 252?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + ((5 - 11 - -3) + 17 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-16))\/((-4)\/(-8)) - 16900\/(-47840).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2 + 2 + 3*v + 0. Suppose -6*w + 48 = -9*w. Let g = w - -13. Give p(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 2379.\nAnswer: -19\/2379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.28 - 1.28. Which is the nearest to z? (a) 1 (b) 1\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 - 2*o**5 - o**5 + (51*o**4 - 6 + 13 - 52*o**4)*(0*o - 3*o + 2*o)*(3 + 2 + 0).\nAnswer: 3*o**5 - 35*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -524*d**4 + 161*d - 175 + 68 - 548*d**4 + 1122*d**4. Differentiate n(a) with respect to a.\nAnswer: 600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 8, -4 in decreasing order.\nAnswer: 8, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-54)\/(-6))\/9*(-1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, 4, 3, 0.3, -10, -1062\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - -13a91?\nAnswer: 13a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 13*p + 10 = 0. Solve -p*b + 5 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461765441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7023*m**4 + 2*m**2 - 117*m + 15?\nAnswer: 168552*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 + 4*p**2 - 5*p**2)*(-p + p + 2*p**2) - 19*p + 7*p - 3*p - p**4 to i*p**2 + a*p + v*p**4 + f*p**3 + l and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2010986507.\nAnswer: 379, 5306033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**5\/60 - y**4\/24 - y**3\/3 + 5*y**2. Find h, given that s(h) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 113, 112, 105, 92, 73, 48?\n\"Answer: -3*g**2 + 8*g + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3378830507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*b - 2730 = 351*b - 258*b for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4264929847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6693 - 5913. What is the lowest common multiple of a and 2652?\nAnswer: 13260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89689.3704 rounded to the nearest one hundred?\nAnswer: 89700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1711*l**2 - 3*l + 0*l - 174 + 3*l.\nAnswer: 1711*l**2 - 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63800010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 4631264?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f**3 + f**2 + 2*f + 1. Suppose 4*s + 198*c - 14 = 201*c, 10 = 3*s - 2*c. What is the remainder when x(-1) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 11. Suppose 12 = -0*l + 2*l. Let g(z) = -7 - z + 1 + 6 + 5. What is l*p(x) - 13*g(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 p, and 1 y when three letters picked without replacement from fpfffpyfspfpspyybpyp?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 1. Let t be m(1). Suppose 14 = -2*w + 2*y, t = -4*w - 0*w + 5*y - 33. What is the common denominator of w\/11 - 786\/(-88) and -115\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/27 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.022 (b) -0.2 (c) 17\/95 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68313 rounded to 3 dps?\nAnswer: 0.683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6915*i**2 - 3*i**3 + 4*i - 13822*i**2 - 4*i + 6907*i**2.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1227, 1, -12 in descending order.\nAnswer: 1, -12, -1227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 421.\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1010412 (base 7) to base 13\nAnswer: 42975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 + 0*d**2 - 4*d**2 + (2*d + 0 + 2 - d)*(-4*d + 5*d - 5*d).\nAnswer: -6*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3*723\/(-2). Let m = i - 162. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 60?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:05 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228\/(-8) - 40\/480*30.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 104.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -4*i + 31, -36*i = a - 33*i - 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 648*t - 633*t + 1.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33.5 and -3788.616539?\nAnswer: 3755.116539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*u**2 + 0*u + 0 - 4\/7*u**3.\nAnswer: -4*u**2*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**6\/180 - o**3\/3 + o**2. Let b(t) be the first derivative of m(t). Let f(a) = 3*a. Calculate b(f(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 4. Let q(x) = -7*x - 3. Let i be q(g). Suppose -5*y + y + 3 = -3*b, 2*y = -4*b + i. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 29, 2, -1\/4, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Suppose -379 = -a*j - 9. Let h = j + -3147\/17. Is h greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -54 (b) 28 (c) 0 (d) 1 (e) 0.1 (f) -13\/6 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 12*m**2 - 7*m - 47. Suppose 0 = -n - 5*p - 4, -2*p - 39 = 4*n - 7*n. What is h(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392498 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: What is the common denominator of -73\/320 and -57\/44?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 548730 a multiple of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1472 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/7))**(5\/7) assuming i is positive.\nAnswer: i**(-5\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*w - 13611 = -158375 + 3476. What is the remainder when w is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 56, 103, 176, 281, 424, 611?\n\"Answer: k**3 + 4*k**2 + 8*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 1. Let z(s) = -5*s**2 - 12*s - 6. Let y be z(-9). Let f = y + 308. Calculate l(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -11, -0.5, -1.027, -0.7, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -548.1 take away 359656064?\nAnswer: -359656612.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Suppose -2*b + 22 = 3*p, -11 = p - 0*p - w*b. Let i be 2\/((p - 3)*-2). Which is smaller: i or -2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66969811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -9. Put -7, 3, l in decreasing order.\nAnswer: 3, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20155 - -20186. Calculate the remainder when 41 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-seven fifths of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 0 + 1\/5*w**2 - 1\/30*w**4 - 2*w - 7\/30*w**3 + 7\/100*w**5. Find q, given that l(q) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 9*m - 8*m - 42, -3*m = -2*q + 50. Calculate the remainder when (12\/(-8))\/(6\/(-344)) is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from hhnvzfvhvchh.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*(1 + sqrt(68)*-2 + 1 + sqrt(68) + -3)*-6 + -5 + 4)**2.\nAnswer: 82368*sqrt(17) + 1430497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-16)\/400)\/(((-24)\/6)\/36)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -17\/2. Let f = -16 - -79\/5. What is the second biggest value in 2\/5, f, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 18*u + 46. Which is bigger: u or -17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 864095.44 from 1258.\nAnswer: -862837.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + 5. Suppose 4*c = -239 + 1579. Let x = 337 - c. What is w(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {s: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 11:28 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4756*v**2 - 42804*v + 1. What is q(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-10\/11)*g**(-9)*(g**(8\/5)\/g)\/((g**24*g*g)\/g*g) assuming g is positive.\nAnswer: g**(-1942\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7353 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147036984 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 158397125 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/25 of a millisecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3130798938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -209\/6. Suppose 3*i = 8*i - 4*d - 7, -3*d + 18 = 4*i. What is the nearest to 3 in -5, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsp when three letters picked without replacement from sjsesussjusp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Suppose z*p + 3*h = 34, 2 + 6 = 4*h. Suppose p = 3*o - 4*k, o - 2 = 2*k + 2. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5022 and 22506.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3333770287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert fce19 (base 16) to base 7.\nAnswer: 11542554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325046 (base 14) to base 5.\nAnswer: 414012321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439087.\nAnswer: 11, 179, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*q + 2)*(38*q - 11*q + 39*q)*(-3*q + 3*q + 1 + 4*q**2).\nAnswer: 792*q**4 + 198*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -5738.\nAnswer: -21\/5738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 128625 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/4)\/(4890\/2608))\/((-2)\/(-63))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x**2 + 6 - x**3 - 2 + 5 + 4*x. Let t be p(-10). Let h = t - 121. Is h a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6241 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*q + 7149 = 5*w + 48*q, q - 7146 = -5*w. Solve w - 1427 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 1144 = 10*v. Let y = 372 - v. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/1*(6 - 1). Let g = -44 + 49. Solve 0 = r - w*r - g*n - 16, 1 = 5*r + n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by (3016\/(-208))\/((-1)\/4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.935 + 0.065. Let m = 123 + -864\/7. What is the closest to 0 in 3, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-99)\/(-774558)) - (-3 - 248\/(-88))?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-7)\/35)*1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44893618 and 44893618?\nAnswer: 44893618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -162 * 5\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p\/(p*p\/p**(-1\/6)))*p)\/p)*p*p\/(p\/((p*p**(-3\/7))\/p)))\/(p**(1\/5)*p*p*p)**(2\/3) assuming p is positive.\nAnswer: p**(-191\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8297, 5858, 44289, 119134, 242531, 426618?\n\"Answer: 2023*a**3 - 6*a - 10314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -6)*16\/(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.18 + -88.68. Let p = g - -62. Let d = p - -23. What is the nearest to -0.01 in d, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 19) + (0 - -3) - -29?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epy when three letters picked without replacement from eypp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/26)\/(-3) + 2332\/(-52). Let j = 48 + z. Suppose -5*d + 3*c = -21, c - 5 = -d + 2*c. Calculate the least common multiple of d and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1196144 is divided by 596.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + -40115?\nAnswer: -40106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x - 6. Let v(u) = -13*u + 11. Suppose 0 = -2*s - 15 + 11. Let q = 15 + s. Let c = -24 + q. What is c*n(p) - 6*v(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12444 (base 8) to base 4\nAnswer: 1110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -504.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from vvybbyvbymtvbt?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 5, 3, -2645, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, d: 1, e: 1}. Give prob of picking 3 z and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/90)\/((-332)\/(-830)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*n + 45*n + 60 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 552.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1177, 1007, 549, -341, -1807?\n\"Answer: -24*o**3 - 2*o + 1203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y - 17. Let t be s(5). Suppose 10*g - 8 = t*g. Solve -g*z - 1 - 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 - -23. Let i = q - 31. Is (-4)\/8*i\/(-2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -498 - -1528. Suppose w + 270 = -v. What is w rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -604815 divided by 15.\nAnswer: -40321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10530 + -1?\nAnswer: -10531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9\/41 (b) -778 (c) 0.2 (d) 4\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 6328. Let l(g) = -8*g - 12663. Give 7*f(a) - 3*l(a).\nAnswer: 3*a - 6307","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/(5\/(-70)). Let t(h) = -h**3 - 8*h**2 - 10*h - 6. Let d be t(s). Suppose -5*n - d = -5*u, -u + 6*u - 2*n = 15. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(170)*-5 - sqrt(170)))\/(sqrt(40)\/sqrt(4)*-5 + -3*sqrt(30)\/sqrt(3)).\nAnswer: -15*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -7) + (-1 - -11 - (-599 - -613)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 35, 0, 28 in ascending order.\nAnswer: -21, 0, 28, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000625 rounded to five dps?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p = -11*p - 91*p - 252 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/390 and -41\/1871298.\nAnswer: 9356490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1424808 - 543808. Round c to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 356 - 354. Suppose -841 + 867 - h**j - 24*h - h**2 = 0. Calculate h.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -9, 118, 245, 372, 499?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 1\/16, -27, -2, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 0 - 1200*u**2 + 8 - 2*u - u**3 + 1206*u**2. Let i be 5 + (2 - 2\/1). What is the units digit of y(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + b**2 + 8 + 3*b**3 + 0*b**2 - 4*b**2 + 0*b**2 + 2*b as o*b**2 + z*b + l*b**3 + p and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138 + -156. Let z be (y + 13 - 22\/(-4))*64. Solve z = m + 7*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, z: 2, n: 1, u: 1}. What is prob of picking 1 n and 1 x?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108616673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -5. Let m = l + -1.5. Let o = 5.2 + -4.8. Sort o, -1, m in descending order.\nAnswer: o, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2301246 years?\nAnswer: 2.7614952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-35 + 17 + 6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - j**2 - 5*j**2 + (-6*j + 20 - 7 - 15)*(2 - 2 + j) + 3*j**2 - j - j**2 - 4*j**2.\nAnswer: -13*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 8, 4, -13, 6, 30.\nAnswer: -13, -4, 3, 4, 6, 8, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 + 104*u + 332. Calculate g(-31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3)*s)\/s**(-1)*s*s*s**7\/s*s*s*s\/(((s**0\/s)\/s)\/s*s) assuming s is positive.\nAnswer: s**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5328501001?\nAnswer: 191, 27897911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-6*1*sqrt(77) + sqrt(77))*2)\/(sqrt(49)\/(sqrt(7)*-2 + sqrt(7)) + 6*sqrt(343)).\nAnswer: -40*sqrt(11)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*o + 1 = 0, 5*p + 2*o + 61 = -2*o. What is the units digit of 839 - (0 + p - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/sqrt(4)*-2 - (5*(sqrt(2) + 1))**2) + (-3 + 0 + sqrt(2) + sqrt(2))**2 + 5)*-4.\nAnswer: 212 + 256*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(0*a**2 + 6*a**2 - 3*a**2).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 9:19 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4197 - 3682 = -184*v + 4280 + 7091 for v.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/400*10\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 2682 = 16*r + 8172. What is the remainder when r is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*m + 547 = 0, 4*t = -2*m + 2202 + 36. What is the second derivative of -46*i - 562*i**4 + 55*i**5 + t*i**4 wrt i?\nAnswer: 1100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 4*m + 30 + 31.\nAnswer: 4*m + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 28 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and -0.01.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70333142 or 70333144?\nAnswer: 70333144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 76, 153, 230, 307, 384?\n\"Answer: 77*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-26)\/(-8) + 1551\/4. Suppose -4*b + n = 6*i - 2*i, 4*b - 16 = 0. Let g = i - -6. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3*(sqrt(312)\/(sqrt(6)*-2) - sqrt(52)))\/((-1*sqrt(256) - sqrt(4))*-1))**2.\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -947 or -946?\nAnswer: -946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2374948 = 180*v - 2388988 for v.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6 = -16. Let r = 2 + 0. Let z = 0 + r. Calculate the remainder when m is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 56) + 105 + 13.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1851450*u**3 - 1106854*u**2 wrt u?\nAnswer: -11108700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/((-21)\/(-14)). Which is the second smallest value? (a) 0.7 (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 + 0.6. Let s = -111 - -110.9. What is the nearest to 2\/9 in 5, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -71615 + 71615 + 1657*o as p*o + g and give p.\nAnswer: 1657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-20)\/(-204)*3))\/(119\/85)?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -98*r + 81 + 8\/3*r**3 + 5\/2*r**2. Differentiate i(u) wrt u.\nAnswer: 16*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525009.\nAnswer: 3, 175003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 77*p**2 - 328*p - 95. Calculate t(81).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/36 and -5\/13419128?\nAnswer: 120772152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*m**2 - 2 - 15*m**3 - 20*m**2 + 13*m**3 - 20*m + 39*m**2 to x*m + i + j*m**2 + n*m**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 1:13 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 53.8 (b) -0.1 (c) 0 (d) -1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 12 - (-1 + -5 - (10 - 12))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6665 + 1127 = -192*j + 4719 - 2385 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**3 + 3*u**2 + 5*u - 4. Let k(c) = -c**3 - c**2 - c + 1. Let l(f) = -4*k(f) - o(f). Calculate the remainder when l(-3) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -12.1. Let u = 1.2 + t. Round u to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5117848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9169 and 6401.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqtxm. What is prob of sequence mt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 154549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-8 - (2 + -4 + 0)). Suppose -8 = g*q - 608. Calculate the remainder when q is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431850059?\nAnswer: 431850059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 26 = 5*k + 3*z, 0 = -5*z + 20. What is the third derivative of k*q**2 + 6*q**4 + 42*q**3 - 42*q**3 wrt q?\nAnswer: 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26960 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 5, b: 1, s: 4, f: 1, k: 3}. Give prob of picking 3 n and 1 m.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (-1)\/((-4)\/4) - 3. Find the third derivative of 39*g**2 - 31*g**m - 18*g**6 + 25*g**2 wrt g.\nAnswer: -2160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-85)\/816*-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 4. Suppose -6*c + d*c = -215000. What is c rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24420\/(-26418) - (-6)\/17?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -130033 (base 4) to base 14\nAnswer: -931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - j**2 + 4*j - 2. What are the prime factors of r(4)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198669132?\nAnswer: 2, 3, 37, 83, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8556?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**2 + 4*w**2 + 5*w**2)*(43 + 213 - 118) - w**2 + 3 - 3 + (-w + 2 - 2)*(w - w + w) to a + s*w**2 + c*w and give s.\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000045971 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1434 and 1488014?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -122.81 and -331.\nAnswer: 40650.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {a: 6, m: 2, l: 1, e: 3, n: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 53 - 839. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -30111033130303?\nAnswer: -30111033130301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -4*b**2 + 3\/20*b**5 + 12 + 0*b + 11\/24*b**4 - 1\/6*b**3 - 1\/120*b**6. What is v(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 18 = 17. Let a be (-21)\/p - 11\/(-15). Find n such that -a*n - 4\/3 - 1\/3*n**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2 - 2*v + 5 + 3*v - v - v + (-5 + 1 + 2)*(v + 2*v - 2*v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8417 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = -2*r. Let h be -3 - (r - 2)*-5. Solve 4*x + 2 + h = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-1\/4)*(p\/(p\/p**7*p))\/p*p**(-7)\/p*p**(-2\/7)\/p*(p\/(((p\/(p*p*p**0\/p))\/p*p)\/p))**(3\/7)*(p\/(p**(3\/2)\/p*p))\/p**3 assuming p is positive.\nAnswer: p**(-159\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, m: 1, q: 3, d: 3, i: 8}. What is prob of picking 1 d, 1 i, and 1 q?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32267\/20 - 1965\/4. Let s = r - -2048. Let j = -57 - s. Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.698 and -1.24?\nAnswer: 8.30552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**2 + 2*n + 1. Let y = 84 - 136. Let k = 51 + y. Give l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*p - 8, 4*i = 3*p - 3 + 14. Let y be 1\/(1\/110*i). Calculate the greatest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l - 5*d + 15, 0 = d - 1. Let o(p) be the first derivative of -3*p**2\/2 + p - 1. What is o(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (5 - (6 - (8 + 1)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -28*j**3 - 11*j + 27. Let z(v) = -10*v**3 - 4*v + 9. What is 4*d(i) - 11*z(i)?\nAnswer: -2*i**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -774573926, -1549147855, -2323721784, -3098295713, -3872869642?\n\"Answer: -774573929*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -26*h + 548. What is the smallest common multiple of k(16) and 120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23326*b*k**3 - 4385*b*k**2 + 8*b*k - 19*k**3 wrt k?\nAnswer: 139956*b - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*v**3 - 190*v**3 - 190*v**3 + 2*v - 2*v.\nAnswer: -599*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18\/31, -2, -5 in decreasing order.\nAnswer: -18\/31, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87db (base 16) to base 13.\nAnswer: 12aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v - 4 = 0. Suppose -4*k - 7 = -15. Let c = v + k. Solve 11 = 4*x - 3*f, 4 + c = -f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6254*0.18.\nAnswer: -1125.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -9*r + 1. Let q be (-6)\/(-4) + 2 + 46\/92. Let x(i) = 10*i - 1. Give q*j(z) + 3*x(z).\nAnswer: -6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**(-2)\/b))**39)**39 assuming b is positive.\nAnswer: b**7605","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -322 - 230 - 43 - 564 + 2155*y**2 wrt y.\nAnswer: 4310*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 2 + sqrt(5))**2 - sqrt(5)) + 5*sqrt(10)\/sqrt(2) + -2.\nAnswer: 19 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, -3, -25 in increasing order.\nAnswer: -25, -3, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.25 - -3.75. Sort -4, 0.4, u.\nAnswer: -4, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 7*w + 8. Suppose 3 = 3*o - 5*f - 26, 1 = -f. Let m be j(o). Solve -5*c + 4*g = -0*g - 11, 3*c + 2*g + 11 = m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q*q*(q*q*q**(2\/13)*q*q)\/q*q)**(2\/21)\/((q**(-5)\/q**(-2))\/(q*q**1*q*q)**(-3\/10)) assuming q is positive.\nAnswer: q**(2867\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a2 (base 11) to base 16.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f - 3*b = -2067, f - 26*b + 87 = -32*b for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -12. Let b = 11 + c. Let p(d) = -9*d**3 - 2*d**2 - 2*d - 1. What is p(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46731.701 - -47225.4. Let l = w + -493. Round l to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*p - 28*p - 9. Solve 3*t = -5*s - 7, 0*s - s + 2*t = -p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.2 + 3. Let g be (-2)\/((-8)\/3 - -2). Sort g, l, -5.\nAnswer: -5, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4 + 1460826*m**3 + 8765109*m**2 - 21912684*m + 11686752 = 0.\nAnswer: -8, 1, 486948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5\/(-2)*((-82)\/10 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115 - -122. Let q be (s + -9)*204\/2*1. What is the units digit of 5 + -6 + (4\/2 - q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 + r**4 - r**4)*(0 + 2*r + 0) + r**5 + 7*r**5 + 5*r**5 - r**5 - r**5 + 2*r**3 + 601*r**4 - 595*r**4.\nAnswer: 9*r**5 + 6*r**4 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 862?\nAnswer: 2586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54208 - 5*o + 54208.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 517, 1031, 1545, 2059?\nAnswer: 2573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 970 (c) 1\/4 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100801772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425935044?\nAnswer: 2, 3, 3943843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 5*b - 14 - 31, -3*z - 3*b = 9. Let o(k) be the second derivative of 1\/20*k**5 + 5\/12*k**4 - 7\/6*k**3 - 7 + 6*k + 0*k**2. What is o(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*l**3 - 26804*l**2 + 2694340*l - 71765100.\nAnswer: 4*(l - 55)**2*(7*l - 5931)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 260208 - 101538 = 0. Let q = t - 25603. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.2817675 microseconds?\nAnswer: 0.0002817675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 123463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16102306 is divided by 2683717.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 5) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3064.661 - 3063. Let p = -2.34 - -0.6. Let m = p + k. Round m to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 80562953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4522337.7 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020021212210 - 0?\nAnswer: 2020021212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 0)*(-1 + f + 1)*((2 - 3 + 4)*(1 - 2*f - 1) + (-6 + 7 + 6)*(8*f + 2*f - 4*f)) in the form z*f + o*f**2 + g and give o.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*o**3 - 15868*o**4 + 15878*o**4 - 137 + 134 + o to the form t*o**2 + l*o**3 + s + y*o**4 + u*o and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 8. Determine x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*v**2 + 318*v**2 + 11 - 11 - 150*v**2.\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -145216*u + 376*u**4 - 754*u**4 + 1412*u**3 + 374*u**4 - 123900*u**2 + 19900*u.\nAnswer: -4*u*(u - 177)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -41 - (111 + 1 - 100).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36138821647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25405 (base 6) to base 13\nAnswer: 197c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = d - 13, -15*d - 21506 = 2*n - 21669 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 5*f**2 - 2*f - 2. Determine g(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9478 is divided by 4721?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-627)\/90)\/(-11) + (-162)\/1215.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1358147 (base 10) to base 14.\nAnswer: 274d47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 508, 503, 494, 481?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -6)\/1 - (-2)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 4*b - 2*m, 5*m + 116 = 3*b - 0*b. Let c(h) = 3*h - 3. Let j be c(-4). Let x = 36 + j. Calculate the greatest common divisor of b and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 60 - 36 = 0. Let m be o\/(-56) + 4\/14. Suppose -1 + 16 = 5*j. Solve -j*f = 4 + m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 3*g - 30, 63*x - 62*x + 2 = g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24642.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27.678 in -0.3, -0.06, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in 0.06, -0.5, -3, -2, -69?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -70, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88301243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-15))\/(275\/375).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1212 - 703 + 23*s - 2*s**2 - 24*s - 434 - 2*s**4 + s**4 to the form v*s + y*s**4 + c + x*s**3 + o*s**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 478852, -4?\nAnswer: 478852","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -29.5. Let i = -6.28 - k. Let h = -0.2175 + i. What is h rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 2:15 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38150 is divided by 18168?\nAnswer: 1814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73 + 27360?\nAnswer: 27265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*(-1)\/2)\/((-12)\/(-2676)). Let p = 225 + v. Sort -3, p, 4 in ascending order.\nAnswer: -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 1553b?\nAnswer: 15535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, h: 2, w: 2, y: 8}. What is prob of picking 1 h, 1 u, and 1 w?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 29*s - 244. Let i be x(-36). Solve 3*q - n - i = -5, -2*n + 10 = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/((-20520)\/300))\/((-5)\/120)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 6*w + (51 - 82 + 41)*(3*w - 6*w + 2*w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17316, -17323, -17334, -17349, -17368, -17391?\nAnswer: -17418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 6*i - 2*i + 0*i**2 + 4*i in the form f + b*i + t*i**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*(y\/(y\/y**8))\/y)*y**(-7))\/((y*y**(4\/9)*y)\/(y\/(y**(-1\/13)*y))) assuming y is positive.\nAnswer: y**(-2032\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3)\/((-4)\/24). Suppose s + 26 = 2*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = 4*q + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -264.0115822 rounded to two decimal places?\nAnswer: -264.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 12*m**2 - 17*m - 143. Calculate j(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyz when three letters picked without replacement from {z: 2, t: 1, y: 2, s: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + sqrt(99) + -1*sqrt(99)*2 - sqrt(99)*2*-5)\/((sqrt(3087)*-1)\/sqrt(7)).\nAnswer: -10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-10)*((-38)\/(-1) - 3). Let f be 9\/q - (-16715)\/35. Suppose 0*a + 2*u + f = 4*a, -5*a + 601 = u. Is a a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/4, -2\/51, 1?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 27*o**2 - o - 14*o - 8*o - 14*o**2 - 49. Is u(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 85, -2, 3, -35, -3.\nAnswer: -35, -4, -3, -2, 3, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 6:23 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 21*f**5\/100 + f**4\/10 - 7*f**3\/10 - 3*f**2\/5 - 16*f. Find s such that u(s) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**7\/945 - n**6\/270 + 11*n**2\/2 + 5. Let i(t) be the second derivative of k(t). Suppose i(l) = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1568 = -71*w + 2411 - 145. Calculate the remainder when (1 + 131\/(-2))*-4 is divided by w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 77*u**2 + 58. Let g(m) = -51*m**2 - 39. Let z(h) = -5*b(h) - 8*g(h). What is the first derivative of z(t) wrt t?\nAnswer: 46*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 4*a**3 + 0*a**3 - 2*a**5 + 2*a - 2*a - 12. What is the third derivative of w(p) wrt p?\nAnswer: -240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090244.\nAnswer: 2, 17, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*i - 6734*i**2 - 105*i - 99*i + 307*i.\nAnswer: -6734*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a = -32*a - 55. Let x(m) = -2*m - 16 - 18*m**3 + 48*m**3 - 29*m**3 + 11*m**2. Give x(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-9 + 87\/18*3)*-12.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 335 divided by 305066\nAnswer: 335\/305066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 9. Let w be (b\/6)\/((-3)\/28). What is the greatest common factor of 126 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(12)\/(sqrt(12)\/sqrt(2)) - (sqrt(4)\/sqrt(2) + 0))**2 + sqrt(24)\/(sqrt(1728) - -3*sqrt(1728)))*2.\nAnswer: -5 + sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25498 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -766 - n**3 + 470 + n + 302 + 4*n**2. Determine f(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 10 - 12)*(0*r - 2*r**5 - 2*r + r**5).\nAnswer: 6*r**5 + 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + z + 8, 3*z + 21 = 112*f - 108*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0047022 centuries to decades.\nAnswer: 0.047022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-570))\/((2\/(-24))\/((-50)\/(-375))).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - ((sqrt(448)*2 - sqrt(448) - sqrt(448)) + 5))**2 + 4)*-2 - sqrt(567)\/((sqrt(45)\/sqrt(5) + sqrt(9))*-1 + sqrt(9))*-5.\nAnswer: -954 + 145*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-14) - (-6)\/21. Sort -72, v, 1\/4, 0.4 in descending order.\nAnswer: 0.4, 1\/4, v, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*1*5\/5. Let t = k + 3. Let p = -30 - -27. Put p, 4, t in ascending order.\nAnswer: p, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 8:06 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**2*w**4 + 2*m**2*w**2 - 111*m**2 - 91*m*w**3 wrt w.\nAnswer: 48*m**2*w - 546*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 529651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1110 and -67\/10?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) -0.4 (b) -104\/421 (c) -1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 11 + 13. Suppose -237 - k = -3*q. Let i = -57 + q. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33\/20 - 3\/20. Let b = 2.9 + -2.5. What is the third biggest value in b, -1\/3, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 + -1. Let w = -0.43 + 0.93. Which is the nearest to w? (a) z (b) -1\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 115745*r**2 - 5*r**3 - 7*r**3 - 115815*r**2 + (-r + 4*r - r)*(32*r - 30*r**2 - 32*r).\nAnswer: -72*r**3 - 70*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-20)\/(-8))\/5)\/(2\/8). Suppose 5*s - f*s - 6 = 0. Solve y - 5*y - 2 = -s*m, -y - m = 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 51454468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 191?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 11*f**2 + 20*f - 36. Let h be v(-8). Let y = 21 - 20.9. Which is the closest to y? (a) h (b) 35 (c) 1\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231572 is divided by 115?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((4 - (7 + -3)) + (25 - 17))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/15767208 and 83\/468.\nAnswer: 204973704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 576 and 1926?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (-8)\/(-2)*(-5)\/20. What is the units digit of 1*334\/r - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*o = -79 + 1039 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 729161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 - (4 - 8 - -8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*v - 42, 0 = 3*v + c - 18 - 47. What is the remainder when 307 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 85.58605ml?\nAnswer: 0.08558605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 3:02 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c + 7. Let a(r) = r. Let s(n) be the first derivative of -n**2 + 77 - 3*n + 0*n - 72. Let w(o) = -4*a(o) - s(o). Give 3*l(g) - 7*w(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.066 - -0.436. Let x = a - 5.37. Let g = -0.2 + 0.1. What is the third biggest value in 0.5, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90375505967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30073)\/427 - -70) + -51*4\/14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 6:57 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1014 and 62673?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.3 - 69?\nAnswer: -94.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17916*b - 17829*b - 4437 = 0 for b.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-1*(-9)\/6). Let q = g + -2. Suppose 0*c - 4*c = -32. Solve c + q = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 122*d - 117*d - 15. Suppose 0*f - 251 = -5*f - d*u, -3*f - 2*u + 151 = 0. Calculate the least common multiple of f and 5.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**24)**(-4\/41))**(-5\/3) assuming n is positive.\nAnswer: n**(160\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 - 4*f + 7. Let s(w) = 88*w + 1674. Let r be s(-19). Calculate a(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 89*b**2 + 96*b + 879. Give d(-88).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 - 173.5. Which is the biggest value? (a) h (b) -4 (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 34 (b) 2\/21 (c) 0.6 (d) 4 (e) 0.2 (f) 1 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.016074288 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o\/o**4)\/o)\/(o*o*o**(-6))*o*o**8*o*o\/(o**(1\/8)*o))**16)**(-9\/8) assuming o is positive.\nAnswer: o**(-783\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614973372?\nAnswer: 2, 3, 13, 3942137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 180 - 121. Let u be (32 - 31)*14\/d. Is 1 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 14. Suppose w*z + 29 = n + 6, 2*n - 58 = 2*z. Calculate the remainder when ((-22)\/(-44))\/(2 + (-718)\/360) is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 595*f**2*s**3 - 2*f*s**3 - 1433*f wrt f.\nAnswer: 1190*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times 34.22972?\nAnswer: 1061.12132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3423 is divided by 1639?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 17\/2 of a millisecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96919\/22 + -4407. Calculate the common denominator of -41\/74 and r.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/2480 and 115\/4774.\nAnswer: 190960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5495\/6 - -916. Which is the biggest value? (a) 694 (b) 0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.08 (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.069, -3\/4448, -4, 2\/21, -6 in decreasing order.\nAnswer: 2\/21, 0.069, -3\/4448, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*d + 6, -3*d = -5*j + 1 - 11. What is the closest to 0.1 in -2, 12, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1610, 2257, 3336, 4847?\n\"Answer: 216*n**2 - n + 1395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74810.156 rounded to the nearest ten?\nAnswer: 74810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 9:37 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 20. What is the lowest common multiple of 8 and t(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**3 - c**2 + 1. Let a(v) = 3*v**2 - 17*v - 20. Let p be a(-5). Let u = p + -139. Determine h(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2*w + 32, 7*m - 2*m = 2*w + 40. What is the least common multiple of m and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 7*a**2 - 7*a - 6. Let k be y(-6). Let i be 9\/6*2 + -2. Let u be k\/(0 - (i - 2)). Solve u = 4*t - 4, -4*t + 28 - 4 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 12:43 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1941\/((-32)\/(-24)*3 + (-274)\/70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -223773 + 6?\nAnswer: -223766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 4, -1247, 21, 2 in ascending order.\nAnswer: -1247, 2, 4, 21, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1558 in -0.62, 4, -2\/11?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*f)*(-296 - 292 - 265 + 1165 - 272 + 606*f).\nAnswer: -1212*f**2 - 80*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-2)\/9)\/(1160\/(-29580)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 1. Let i(t) = -7*t**2 - 8*t + 8. Let b(o) = i(o) + 6*w(o). Let y be b(-8). What is the derivative of -2 - d**2 + 0*d + y*d - 2*d wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3774741 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*l = -373187 + 409223 for l.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -135*l - 6. Let r(x) = -158*x - 7. Let o(g) = -7*h(g) + 6*r(g). Let d(a) = 3*a**2 + 88*a. Determine o(d(u)).\nAnswer: -9*u**2 - 264*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 1655812 = 15963188. What is w rounded to the nearest 10000?\nAnswer: 1170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 7:49 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*n - p - 5 = 97*n, 14*n - 2*p = -34 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 + c**2 - 4*c + 4. Let k be q(3). Let a(y) = 2*y - 16. Let l(i) be the third derivative of i**3\/6 - 13*i**2 + 17*i. What is k*l(s) - 5*a(s)?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45206.3 rounded to the nearest one hundred?\nAnswer: 45200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/12, 0.15, 1\/5.\nAnswer: -13\/12, 0.15, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*d - 121. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + (sqrt(684) - (-4*sqrt(684) - sqrt(684))) + sqrt(684) - sqrt(684)) + 2 + 1 + sqrt(684)*-4 + sqrt(684))**2 + 4.\nAnswer: 144*sqrt(19) + 10957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 11*y**3 + 6*y**3 + 6*y**3 - y**2 + 2*y**3 - 3*y**3 + 2*y**3 - 2*y + y**3 + 2*y + (y + 0*y - 3*y)*(5*y**2 + 0*y**2 - 6*y**2) + y**3 + 0*y**3 + y**3.\nAnswer: 7*y**3 - y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 v when three letters picked without replacement from bcrcvnbcbrcnv.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4*r - 36 = 0, 0 = 4*r - 2*r - 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 148860458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 513 + -466. Solve -b*g = -52*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5166000 to the nearest 100000.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -247, -243, -235, -223?\n\"Answer: 2*x**2 - 2*x - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-145)\/(-3) - 23) + (-41 - -15).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 1, e: 2, u: 1, c: 2, j: 1}. Give prob of sequence egj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 892\/10 + 206 + 46966\/(-230).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11245, 79, 0, 3.\nAnswer: 0, 3, 79, 11245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-63997)\/(-5) + ((-16)\/120)\/(6\/(-27))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*g + 1, t + g - 2 = 2*g. Let m = t + 13. Suppose -3*d = -5*p - 1 + 10, -4*d = -5*p + m. Sort -0.3, p, 0.3.\nAnswer: -0.3, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -226 - -228. Suppose f + 0*g + 3*g - 14 = 0, -5*f + g = -22. Suppose 0 = -f*p + 17 - 2. Solve -p*o + o = -5*z - 4, v*o - 4 = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**4 + 5*o**2 - 5*o**2)*(8 - 6 + 5) + (0*o**4 + 0*o**4 + 2*o**4)*(4 - 3 + 1) + 3*o**2 - 2*o**4 - 3*o**2 + (o - 3*o + o)*(-o**3 + o**3 - o**3).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p = 5*j + 209, 0 = -p + 2*j + 103. Let w = p + -97. Suppose -g + 103 + 92 = w. List the prime factors of g.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 699656*i**3\/3 + 10728059*i**2 + 123372690*i + 529\/3.\nAnswer: (i + 23)**2*(699656*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 0*v - 14*v + 4*v - 8*v. Let o = 69 + -64. Let n(p) = 18*p - o*p - 11*p. Calculate n(x(f)).\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*p - 11 = i + 1185*p - 595*p, 0 = 2*p - 4 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 323*o + 36 + 16 - 18 + 29.\nAnswer: 323*o + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53136039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294 = 10*v - 214 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*m - 232 - 1100. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 13*g**8\/3360 + g**7\/2520 + 11*g**6\/720 + 3*g**5\/20 - 10*g**2. Let n(h) be the third derivative of s(h). Is n(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1375 = -5*g - t, g - 3*t = 5*g + 1089. Let x be g\/(-10) + 6\/15. Let i = x - 5. What is the remainder when i is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -13*v - 198. Let i(n) = -8*n - 132. Let c(f) = -8*i(f) + 5*m(f). Is c(24) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51461 and 1472.\nAnswer: 75750592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 3*h)*(1036*h - 517*h - 521*h - 171*h**2).\nAnswer: -513*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -118*y + 1427. Let g be w(12). Solve 128 = 5*k + 103, -k = 2*t - g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -18 + 18 + 51*a**2. Let n(o) = -o**2. Give y(n(i)).\nAnswer: 51*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 96*j + 18381. Calculate i(-172).\nAnswer: 1869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000370064 to 6 decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-194)\/(-8) + 1\/(-4). Let c = 146 - 74. Calculate the greatest common factor of c and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.3 - -11. Which is the nearest to -1? (a) z (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/((-12)\/16 + 1\/4). What is the biggest value in 1, 2\/9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(660\/108 + (-1)\/9 - 4). Suppose 0*g - g = -2. Differentiate -2*m + t*m - 1 - 3*m - g*m with respect to m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, c: 5, l: 1, n: 4}. Give prob of sequence cclc.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 342, 344, 346, 348, 350?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*i = 9740, -w + 4880 = 17*i - 16*i. Calculate the remainder when w is divided by 108.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 8:35 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-2)\/(-4)*-1). Suppose -2*z - h = -6. Suppose z = -5*c + 12. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10543)\/(-811)*3\/6.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.21. Let b = -7.49 + m. Let x = b + 7. Sort -5, x, 3.\nAnswer: -5, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 18*x + 20. Let b be d(-1). Solve -s = -i + 2, 2*i + s = 5*i + b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1789, -2042, -821, 1874, 6043, 11686?\n\"Answer: 737*n**2 - 2464*n - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2637 = -67*z - 43*z - 10453. Is -3 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o + 2. Let u(s) = 12*s + 9. Let c be 5 + (-10 - 24\/(-8)). Give c*u(h) + 9*w(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42500 or -60206?\nAnswer: -42500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 1, -4 in decreasing order.\nAnswer: 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 51*h = 52*h + 16, -4*h - 10 = -w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1732.007718ms to weeks.\nAnswer: 0.000002863769375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a = 4*d + 96, -9*a + 26*a + 4 = 13*a + 5*d - 0*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 739 + -77594\/105. Let v(w) be the third derivative of 0*w**6 + 0*w**5 + 0*w**4 - 3*w**2 + q*w**7 + 1\/6*w**3 + 0 + 0*w. Differentiate v(h) wrt h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203210123021 + 1?\nAnswer: -203210123020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 202\/(-2) + 998570\/9822.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v**3 + 3*v**2 + 4*v + 3. Suppose 0*r = 4*r + 8. Let u be t(r). Suppose -7*o + u = -2*o. Calculate the remainder when 32 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**6 + 2318*w**5 - 5*w**3 + 691224*w**2.\nAnswer: -240*w**3 + 139080*w**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/108 and 55\/2489997.\nAnswer: 89639892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2095.\nAnswer: 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0, -0.04, -73, -96 in decreasing order.\nAnswer: 0, -0.04, -0.1, -73, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 2*sqrt(425))*-3 + 3)**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by -45.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 67428 - 33675 - 33720 = 2*g, 5*g - 140 = 5*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -3. Let r = 31 + -31. Let s be 2\/(-1) + 22\/10. What is the nearest to r in -0.5, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 1. Suppose 0*d - 8 = p + 5*d, 9 = -4*p + 3*d. Which is the closest to r? (a) p (b) -2\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 7*w - 820. Suppose 0*l + 266 = 5*b + l, 3*b + 5*l = w. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1600016 - 1.16. Round f to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12080 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 199722*z**3 - z**2 + 49043*z - 7 wrt z.\nAnswer: 1198332*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 5915571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/17)*t**(-9\/4)*t**28*t*t*t**(-1\/5) assuming t is positive.\nAnswer: t**(9407\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 165\/4 + -41. Determine i so that 0*i + 0 - 1\/4*i**2 + q*i**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 2*w - 2*w)*(1 + 1 + 1 + (3 - 3 + 1)*(3 - 4 + 0) + 2 - 1 + 2)*(-w + 0*w + 2*w).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 1778055542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/21)*(n*n\/((n*n*n*n\/n**(-6\/11))\/n))\/n*(((n*n\/n**35)\/n)\/n)\/n**(-1\/19) assuming n is positive.\nAnswer: n**(-164347\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.64 - -0.34. Let o = 4 - 3.5. Let r = -0.3 + o. What is the closest to 2\/5 in 0.1, r, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 15*b**2 - 13*b. Let h = 81 + -13. What is the remainder when h is divided by z(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 30*j**2 + 63*j + 20. Is a(31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10988340 and 2640?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**16*(q**(14\/9)\/q)\/q*q assuming q is positive.\nAnswer: q**(149\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 17 - 3. Suppose u*t + 12 = 10*t. Solve t*d = -5*x - 9, 0 = -0*x + 2*x + 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 + (-6 - -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -401 * 0.8.\nAnswer: -320.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {b: 7, q: 1, a: 3, c: 5}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20880 and 928.\nAnswer: 41760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93*0.9318.\nAnswer: 86.6574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -23*b + 5. Let h(r) = -576*r + 126. Suppose -4*p - 10 = -2*p. Let x(l) = p*h(l) + 126*w(l). Calculate the remainder when x(-3) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 9*p = -8. Sort -5, -3, -4, p.\nAnswer: -5, -4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*a = -140, -2*a - 43 = 4*s - 323. Suppose 33 = 2*r + 5. What is the greatest common factor of r and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -150, 0.3, 0.2, -14 in increasing order.\nAnswer: -150, -14, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 13, i: 6}. What is prob of sequence titt?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1540 and 221540?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12202, -48820, -109858, -195322, -305218?\nAnswer: -439552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 13938 and -14.01549.\nAnswer: 13923.98451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a meter in millimeters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8778933 and 1719?\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(720) + (0 + sqrt(720))*3 + 2 + (sqrt(60) - sqrt(240))\/sqrt(12)).\nAnswer: 4 + 94*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 7. Factor 13*d**g + 2 - 11*d**2 - 3*d - d.\nAnswer: 2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b + 3. Let p(z) = -318*z - 150. Let l(n) = -2*j(n) - p(n). Find the first derivative of l(i) wrt i.\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2751 + 55019\/20. Which is the fifth smallest value? (a) m (b) 12 (c) -2\/3 (d) -4 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d. Let o(i) = i**2 + 29654114. Give o(l(p)).\nAnswer: 4*p**2 + 29654114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9889 + 11384. Is 1496 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*d + 49*d - 28. What is the lowest common multiple of 111 + -56 + d*-3 and 6?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b**3 - 27*b**2 - 31. Let l(j) = 4*j**3 - 13*j**2 - 15. Let v(q) = -2*f(q) + 5*l(q). Let t(h) = h**3 - 5*h**2 - 6. Calculate -13*t(m) + 6*v(m).\nAnswer: -m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256372 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20 + -15 + 2803\/(-1498). Let i = t + 3\/214. Find the common denominator of i and 29\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(24) - (sqrt(264)*-3)\/sqrt(11))\/(sqrt(96)\/(sqrt(84)\/sqrt(7)))*-2*1 + -1.\nAnswer: -8*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -99? (a) 107 (b) 0 (c) -0.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*141\/(-255)*5.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**3 + 5*v**2 + v + 1. Let s be b(-4). Let d(t) = 52*t + 178. Let u be d(3). Let o = u + s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.14, -2, 1, -10849\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 10*z - 12 = 0, 0*z = 31*u - 28*u - 5*z + 3*z - 47 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 450 - 24234043?\nAnswer: -24233153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 p when four letters picked without replacement from ukrfkukupunpnpuprkf.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - m - 6 = -5*m, -2*t - 4*m = -16. Let j(q) = q**2 - 2*q + 2. Let b be j(t). Let s(d) = 13 + 5 - 18 + b*d. Let a(p) = 16*p. What is s(a(z))?\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2)*(-8)\/(-6). Let r be ((-2)\/30)\/(t\/12). Are 2\/11 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/1575 and -167\/150.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 958835 - -6.\nAnswer: 958841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -14 + (-8722)\/(-588).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (122\/18)\/(3\/(-3)) and (-58)\/(-8) + 1 + 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 - -195. Suppose -b = 0, -2*q - 3*q = b - k. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 7) to base 8.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 140 (c) -0.17 (d) -1.757\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -n + 7, -7 = -5*h + 10*h - 3*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*8\/(-84)*(4998\/63)\/34*39.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*n, 0*y = 3*y - 4*n - 57. Suppose -125 = 14*z - y*z - 3*b, -z - 2*b = -126. What is the highest common factor of z and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -507*z**3 - 11*z**2 - 5*z + 30. Let c(j) = 760*j**3 + 17*j**2 + 8*j - 45. Let y(f) = -5*c(f) - 8*l(f). Find the third derivative of y(g) wrt g.\nAnswer: 1536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 17*o + 49. Suppose 2*j = 5*j - 63. Let k be u(j). Let z = k - -53. What is the remainder when 53 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opk when three letters picked without replacement from {p: 1, r: 1, k: 1, o: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/5*a**3 - 12\/5*a + 0 - 46\/5*a**2.\nAnswer: -2*a*(a + 3)*(7*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 248*n**3 + 14*n**2 - 169*n. Let h(w) = -83*w**3 - 5*w**2 + 56*w. Let y(k) = -11*h(k) - 4*l(k). Find the third derivative of y(p) wrt p.\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.5, -8, 30, 0.1, -0.09?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 - 111. List the prime factors of w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, g: 7, b: 1, i: 2, j: 1}. Give prob of picking 2 g and 1 b.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 561 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i + 602 = -308. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*o + 111*o + 208 = 0. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/20 + (-24)\/(-10). Let h(c) = c**k + 3*c**2 - c**2. Let b(j) = j**2 - 6*j**2 + 3*j**2 + 0*j**2. Calculate h(b(o)).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = 43 - 63 + 62 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -9*r - 1. Let u be j(-1). Let y be 2\/u + (-526)\/(-8). Suppose 5*v - y = -4*c - 13, v = 3*c - 16. Calculate the greatest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 288*w - 560.\nAnswer: -4*(w + 2)*(w + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 - w**2 + 1. Let x(p) = 49*p**3 + 3*p**2 + 6*p - 3. What is 2*m(d) + x(d)?\nAnswer: 53*d**3 + d**2 + 6*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-2*(-28)\/(-42)*(-3)\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36750 and 490?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -676b (base 14) to base 10.\nAnswer: -17931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11394320 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 899298?\nAnswer: 2, 3, 47, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**3 - a**2 + a - 1. Let k be (3 - 4)\/(-1 + 0). Let m be g(k). Suppose 18 = m*l - 12. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/(3 - (4 + -2)). Let i be 9\/3 - (-3 - 61). Let f = i + v. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u + 5. Let i = -3 - -10. Let z be x(i). What is the highest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k - 25 = -91 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 322*q**2 - 568*q - 501471. Determine x(-325).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3253234.0156 minus 15?\nAnswer: 3253219.0156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/20 - 6\/(-4). What is the second derivative of -6*a**5 + c*a + 0*a**5 - 2*a - a wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - 9*f**2 - 8*f**2 - 12*f**2 + 36*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6304, 6317, 6330, 6337, 6332, 6309, 6262, 6185?\nAnswer: 6072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45160*t + 45150*t = -190 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 420255 (base 6) to base 2\nAnswer: 1000010000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18360 and -1?\nAnswer: 18360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -784 = -170*r + 79*r - 105*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g**3 - 5*g**2 + 6*g - 7. What are the prime factors of t(4)?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32219 (base 10) in base 16?\nAnswer: 7ddb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 23. Let q be y(-10). Let u = q + 19. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21098257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 2:35 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 3, t: 4, l: 1, g: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7\/8, 5 in increasing order.\nAnswer: -4, 7\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*a**2 + 46*a + 255*a**2 + 96*a - 8 + 8.\nAnswer: a**2 + 142*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-31777263)\/(-1260) + (-1)\/20?\nAnswer: 2, 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two thirds of a week in minutes?\nAnswer: 6720","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 100051633 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*d - k + 1, 5*k - 31 = 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (54\/63)\/(12\/(-21) + 0). Let o = 0.01 + 0. Let l = o + 1.99. Which is the third smallest value? (a) l (b) y (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001111101 + 10010011?\nAnswer: -111111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4488.276 millennia in months?\nAnswer: 53859312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.02, -0.2, 7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76953 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2075 (base 10) to base 2.\nAnswer: -100000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.003545 micrometers?\nAnswer: 2003.545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 12:37 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -5*l - 35. Suppose -33 + 13 = -l*x. Solve -x = -k + 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 9 = -c. Let h(w) = -13*w + 2*w + 5*w - 4. Let f be h(c). What is the greatest common divisor of f and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**6\/60 - 5*q**5\/4 - 191*q**4\/8 + 325*q**3\/3 - 169*q**2 + 104*q - 5. Let g(d) = 0. What is d?\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(3 + -6 + 4). Let z be (16 - 14) + l\/1. Let s be ((-11)\/(-22))\/(z\/2). Which is the smallest value? (a) 3 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1132\/(-6))\/(1\/(-6)). Let p = h - 390. Does 41 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - (4*1 + ((-12814)\/(-14) - 0)). Is b smaller than -925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -12\/11 (b) 2 (c) -14.4 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 5 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or 0.144?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 4:20 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 231725999 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 5*v + 104. Calculate the highest common factor of v and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**3 - 2*w**2 - w - 2. Let z(b) = -13*b**3 + 7*b**2 + 3*b + 7. Suppose 0 = -14*t - 2*t - 32. Determine t*z(a) - 7*r(a).\nAnswer: -2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10\/33 + 16\/33. Let j(s) = 3*s - 15. Let z be j(11). Let y = 18 - z. Sort y, v, -2 in descending order.\nAnswer: v, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d*d**(-3)*d*d*(d\/(d\/(d*d**(-6\/7)*d*d)))\/(d\/(d**(-1\/30)\/d)))**(-37) assuming d is positive.\nAnswer: d**(-31931\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i = 4*z - 25, 5*z + i - 31 = 0. Let p be 4\/z - 10\/30. Let r = 73 + -74. What is the second smallest value in r, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1811323*v**5 - 27533*v - 4 wrt v.\nAnswer: -36226460*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m - 24. Let o(x) = 25 - 15 - 9 + x. Let s(f) = n(f) + 5*o(f). What is the first derivative of s(y) wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 33. Let a = 87 - q. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4169774 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -917488 and -917472 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvxxvvvv. What is prob of sequence vvx?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -12, 65, 91, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + 4.9. Let a = s - 4.5. Sort 4, 1\/3, a in descending order.\nAnswer: 4, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, 0.05, -0.5, 1.3, 13261?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90070 - -90102. Suppose 0 = -3*c - 16 + 1. Put 4, n, -4, c in decreasing order.\nAnswer: n, 4, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2. Let a(u) be the first derivative of -71*u**5\/15 + u**2 + 9*u + 23. Let j(b) be the second derivative of a(b). What is j(v(h))?\nAnswer: -1136*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4801350 is divided by 1022.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 10:42 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2\/4 + 5*l = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvkkdp. Give prob of sequence pvk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 5356.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 512358059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*p - 218*p - 514 - p**2 + 660 wrt p.\nAnswer: -2*p - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (3 + 29272*1). Is 4\/14 + h\/(-98) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74a (base 13) to base 15\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q + 10. Let a(u) = u + 7. Let w be a(-3). Solve w*v + 31 = -q*f, 5*v = 2*f + 5 - 19 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9.5 from -154829.\nAnswer: -154819.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2197?\nAnswer: 3\/2197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 71, 318, 745, 1352, 2139, 3106?\n\"Answer: 90*a**2 - 23*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2756 + -2836. Let r = 205.5 + -123. Let v = r + z. Sort 2, -4, 0.4, v.\nAnswer: -4, 0.4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:56 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*g = f + 93*g + 65, -4*f - 26*g - 338 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1459 - 913 = 91*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/7)\/x*x)\/(x*x**(-1\/2)))\/(x*x*x\/(x**(3\/2)*x))**(-4\/27) assuming x is positive.\nAnswer: x**(-107\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (11 - (-21 + 23)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -393 - -395. Let i(o) = -3 + 3 + 16*o**x - 22*o**2 + 15*o**2. Let k(l) = l + 2*l + 3*l. What is k(i(y))?\nAnswer: 54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (8 - 8) - 8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -34*n**3\/3 + 1315*n**2\/3 + 7817*n\/3 + 2156 = 0. Calculate n.\nAnswer: -147\/34, -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2. Suppose 0 = -f - 2*f + 6. Let x(z) = 2*z**f + 2*z**2 - 2*z**2. Give o(x(a)).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkojjjjjjoojoojjj. What is prob of picking 1 j, 2 o, and 1 k?\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 227628 and 5.\nAnswer: 1138140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 3. Let k(z) = -z**3 + 4*z**2 - 2*z + 16. What is the smallest common multiple of 1\/4 + 6\/b and k(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2211629, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1437*s - 86670 = -294*s - 22623 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)\/(x\/x**3*x)*x\/(x*x**(-3\/5))*(x\/x**(2\/29))\/x assuming x is positive.\nAnswer: x**(-503\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -157042.35 rounded to the nearest ten?\nAnswer: -157040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*s**4 + 26*s**4 - 9288 + 2596)*(-5*s + 3*s + 0*s).\nAnswer: -8*s**5 + 13384*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1398 = -2*d - 2*z, 0 = -213*d + 214*d + 4*z - 690. Does 54 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 124 (b) -3 (c) -50 (d) -2\/17 (e) -2\/7 (f) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 783381659 to the nearest integer?\nAnswer: 27989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3174*b**3 + b**2 + 2607 wrt b?\nAnswer: 9522*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 18819341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 15) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - c - 4 + (0 - 3 + 8)*(-1 - 3 + 0)*(3*c - 2*c - 3*c - 2*c + c + 2*c + (0 - 2 + 4)*(3*c - c - c) + 1 - 1 + 3*c + (-3*c + 5*c - 3*c)*(4 - 3 + 0)).\nAnswer: -61*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.948 + 0.848. Which is the closest to s? (a) -1\/4 (b) -1\/6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00783222 to 5 dps.\nAnswer: -0.00783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 638*v + 9304. Determine b(-15).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*j - 2787203 - 2807716 = -487*j. List the prime factors of j.\nAnswer: 15413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2149423\/22 <= -97702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 3376 - 3167. What is the highest common divisor of b and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45491?\nAnswer: 45491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*d + 180*d = -16624. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -124\nAnswer: 5\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 159375106*p**3 - 33*p**2 + 2*p - 84220.\nAnswer: 956250636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/425 + 23\/2550. Let l(h) be the second derivative of w*h**6 + 0*h**2 + 0*h**4 - 3*h + 1\/100*h**5 + 0*h**3 + 0. Solve l(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 2143*d**6\/30 + 907*d**2\/2 + 1012*d. What is the derivative of x(b) wrt b?\nAnswer: 8572*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akvvovxvavavv. Give prob of sequence vko.\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 10*d**2 + 12*d - 5. Suppose -t - 7 = 2. Let r(f) = -2*f - 7. Let i be r(t). Let v be w(i). What is the highest common factor of 9 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5191580 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -1 + 2 - -6. Let u = -5 + j. Suppose 3*r - 2 = 5*b - 8, -3*r - u = -4*b. Solve 2*g = -5*o + 3 + 4, -3*o = r*g - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from kfffffffffffkkffffk.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a**5 - 2*a**5 + 3*a**5)*(-12 - 4 - 7).\nAnswer: 161*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(14\/5)\/y))\/(y\/(y*y**(-3\/20))) assuming y is positive.\nAnswer: y**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*f**4*j**2 - 40*f**2*j**2 - 8562*j**2 wrt f.\nAnswer: -96*f**3*j**2 - 80*f*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 627.166, 24, 1\/3 in descending order.\nAnswer: 627.166, 24, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -10.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*-2 + sqrt(363) + 1 + (sqrt(363)*1 - sqrt(363))*-5)*-1 + 1)**2.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from {h: 1, t: 1, a: 1, u: 2, p: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, 6, 31, 66, 111?\n\"Answer: 5*g**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000774 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2386929376 to the power of 1\/3, to the nearest integer?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -131*h - 2. Let g(j) = 2*j. What is d(g(t))?\nAnswer: -262*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 5:08 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2.6 (b) 9 (c) 27 (d) -15.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 37 and 178\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 2*d + 2. Let p be k(-3). Suppose 466 = 4*y - 3*z, y + 0*y + 3*z - 124 = 0. Let l(t) = -p*t**2 + y - 118. Let x(m) = 10*m. Determine x(l(c)).\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -210111?\nAnswer: 210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - a. Let z be d(-1). List the prime factors of -1 - ((-12)\/1)\/z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w = 6. Let z be (-62)\/(w*(-3 - -4)). Let l = 77 + z. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + -1)\/(-6 - -4). Suppose -v*d - 17 = -45. What is the units digit of 80\/d - (-10)\/35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10524, 11819, 13726, 16239, 19352, 23059?\nAnswer: 27354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j + 24. Give a(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 5936.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59.9909 - 60.03989733. Let o = 0.049 + n. What is o rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22.91 and 0.1033669.\nAnswer: 23.0133669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5891 + -5891. Solve g = 2*o - 17 + 5 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 270?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4288323 and 15\/32877143.\nAnswer: 98631429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*j + 1425. Suppose -2*w + j = -5*w. Let i = -7 - w. What is the greatest common divisor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24, 46, -1, 2 in increasing order.\nAnswer: -24, -3, -1, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 - 53. Suppose 8 = r - 4*x + j, -3*x - 71 = -5*r. Suppose -3*k + 340 = r. Calculate the remainder when k is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 292*t + 1. Is p(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067726774?\nAnswer: 2, 19, 83, 338531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*m + 2 - 3*m**2 + 2*m**3 - 8*m - 3*m as j*m + v + f*m**3 + l*m**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130 + -231. Let w = -58 - m. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 1749.\nAnswer: 13992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, t: 2, j: 3, g: 1, c: 2}. What is prob of sequence cc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**5 + 1208*b**3 - 3*b**4 + 2*b**5 + 50*b**2 - 1208*b**3 wrt b?\nAnswer: 300*b**2 - 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.19 - -94.31. Let z = 71 - g. Let s = z + 28. Round s to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5568 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-6\/11)*a)\/a**(-1\/16)*((a\/a**(2\/13)*a)\/a)**50 assuming a is positive.\nAnswer: a**(102767\/2288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 16600?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -606535 = -12*m + 13*m. Let c = 263465 - m. What is c rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15240\/16891)\/(20\/112)*(-1)\/(-4).\nAnswer: 24\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -6\/13, 0 in decreasing order.\nAnswer: 0.04, 0, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.31 - 0.01. Let a = 0.02 + j. Put a, -5, 0.3 in descending order.\nAnswer: 0.3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 16*b + 119077 - 59522 - 59541 - 3*b**2 + 2*b**2. Determine a(16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 v when three letters picked without replacement from {v: 1, t: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 75.88562?\nAnswer: -7.588562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -211760 by -26470.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 30791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 0 (c) -2\/5 (d) -1595\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 588*w + 501*w - 1102*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqs when three letters picked without replacement from {s: 2, n: 3, q: 2, c: 5, x: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3\/3 - 7778*v**2\/3 + 7650814*v\/3 - 171878494\/3 = 0. Calculate v.\nAnswer: 23, 1933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 1. Let j(u) = u - 1. Let k(d) = d - 1. Let o(x) = -j(x) + 2*k(x). Let t(w) = -o(w) - r(w). Let i(s) = -2*s. Calculate i(t(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + x + 69 = k, -3*x - 69 = k. What are the prime factors of ((-56)\/21)\/((-2)\/k*-1)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*n + 7*n - 14 = 0, -14 = -3*r - 2*n. Let k be 0 + (4\/6 - 0). Factor r*f + 0 + 2\/3*f**2 - k*f**3.\nAnswer: -2*f**2*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7506660 divided by 35746?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12570)\/136175)\/(12\/(-429)))\/((-2)\/(8\/2))?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 31, 58, 75, 70, 31, -54?\n\"Answer: -2*s**3 + 13*s**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = k - 1164. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -17, 0, 4, -3, 303, 8 in descending order.\nAnswer: 303, 9, 8, 4, 0, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 32301 = 4333. What are the prime factors of y?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 295 in increasing order.\nAnswer: 2, 3, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 9\/(-3))*1. Let g = -4 - u. Let y = 6 + g. Solve 4*k + 0 + 8 = 2*n, 4*k = -y*n + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12461 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -199 - -202. Let w be 0 - (y + -4)*3. Solve -w = 3*a + c - 3*c, -3*c = -a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 - 52. What is the second biggest value in b, 2\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 7. Let p be l(9). Let q(k) = -2 - 3*k + 6*k + 2*k**2 + 0*k**2. List the prime factors of q(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s - 28. Let w(h) = 6*h + s - h - 37. Let g(a) = -a + 6. Let u(p) = -11*g(p) - 2*w(p). Determine u(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29, 26, 11, -22, -79, -166, -289?\n\"Answer: -n**3 + 4*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 + -165 + -2 + (1 - (30 - 1)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 20.693?\nAnswer: -21.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218086 + -1537980.\nAnswer: -1319894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -245, -243, -241, -239?\n\"Answer: 2*d - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57447)\/(-1473))\/((-12)\/20)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/((-4)\/(-30)*-2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o - 2*o)*(-o**3 + 4*o**3 - o**4 - 9*o**3).\nAnswer: o**5 + 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 2*o**2 + 0 + 0*o**3 - 2*o + 3\/10*o**5 + 1\/4*o**4. Let w(d) = 7*d**3 + 4*d**2 + 5. Calculate -5*j(g) + 4*w(g).\nAnswer: -2*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 2 = 4*w + 28*l, -2*w + 6*l + 10 = -2*w + l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 144 = -a. Let v be 224\/a*(-15 - 0). Calculate the highest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -3 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/7))**(-4\/27)\/(k**4\/k**(-1)) assuming k is positive.\nAnswer: k**(-965\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*f - 2 + 39 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 1496758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 284995072?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - 30\/4)*80. Solve 774*y - 782*y - j = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 175734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -3*u**3\/2 + 5*u**2 + 3*u. Let j(n) = -6*n + 7. Let o(q) = 5*d(q) - 7*j(q). What is the first derivative of o(y) wrt y?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 930512 and 2312?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, t: 2, w: 4, o: 1, g: 2, y: 3}. What is prob of sequence og?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 518.92\nAnswer: -518.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -411*u + 35. Let d(x) = -139*x + 10. Let l(b) = 14*d(b) - 4*y(b). Let c(v) = -15*v. Calculate c(l(t)).\nAnswer: 4530*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512\/5*d + 0 - 2\/5*d**4 - 576\/5*d**2 - 66\/5*d**3 = 0 for d.\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by -1290.\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*d - 17, -21 = -5*b + 2*b - d. Suppose 0*o = -o + 40. What is the highest common divisor of o and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2628584*y - 8359. Let b(n) = 1887*n - 6. Calculate 8359*b(m) - 6*r(m).\nAnswer: 1929*m","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8917662*d*v - 170088779*v wrt d.\nAnswer: -8917662*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/(-2))\/(-30))\/((-5)\/315*3)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -475, -3585, -12033, -28489, -55623, -96105?\n\"Answer: -445*n**3 + n**2 + 2*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1308929, 1309647, 1310363, 1311077, 1311789?\n\"Answer: -f**2 + 721*f + 1308209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13341 - -0.0675515.\nAnswer: 0.2009615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 0.2. Suppose 1 = m - 2*g, 106*g - 93*g = -3*m + 22. Which is the second biggest value? (a) 0.09 (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*(117\/8)\/(-13)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, d: 2, g: 9, i: 4}. What is prob of picking 2 g and 1 z?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 2\/3 (b) 11 (c) 68\/105 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-185)\/8*(-6)\/45. Let m = -11\/4 + p. What is the nearest to 2\/5 in 2\/9, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1056141999 to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72521.88 years in decades?\nAnswer: 7252.188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12366 divided by -6?\nAnswer: -2061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -1, 7, -5 in ascending order.\nAnswer: -5, -1, 5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -36499?\nAnswer: 36485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 2:55 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 17*c**2 + 10*c - 8. Let r be j(8). Suppose 20 + r = 7*p. Solve -2*w + 4*w = m + 7, p*w + 11 = -3*m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 + -64 - -36) + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -10?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 594*m + 2. Let h be n(-2). Let s = -506 - h. What is s rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5 - 147*u**4 + 1216*u**3 - 3688*u**2 + 4944*u - 2480.\nAnswer: -(u - 2)**4*(u + 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 47312233.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 133*m - 122*m = 117 - 649, -3*u - 2*u - 4*m - 202 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 716776, 129 in ascending order.\nAnswer: 4, 129, 716776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -11. Suppose -2 = -2*p, 3*p - 21 = z*s + 2*p. Suppose u + 0 = 4*y - 4, 0 = -y - 3*u + 1. Sort y, 4, s in increasing order.\nAnswer: s, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4 - 1)*56\/(-21). Let q be 2*2\/a*310. Suppose b = 3*t - 0*b - q, -t - 5*b = -130. List the prime factors of t.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 + 48*m + 1327. Is f(-26) a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 (base 10) in base 7?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.09, 31\/2, -9775, -1\/4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 216? (a) -0.6 (b) -0.2 (c) 155 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 5. Suppose -3*i = -8*i + n. Suppose -13 = -3*p - i. Which is the closest to 0.1? (a) p (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -569862 from -993.4.\nAnswer: 568868.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-9))\/(30\/9)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29859.\nAnswer: 3, 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p. Let y(i) = -5*i - 7. Suppose -4*u = f + 3*f - 24, -3*u + 16 = 5*f. Let j(s) = 3 - 2*s + 2 - 8. Let w(h) = u*j(h) - 3*y(h). Determine w(m(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -9, -13, -11, 3?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69437968, 138875938, 208313908?\nAnswer: 277751878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 - 113*q - 4. Let g(h) = -2*h**2 + 57*h + 2. Calculate 5*g(j) + 3*x(j).\nAnswer: -j**2 - 54*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 - -149. Suppose 0 = -6*u + 362 - i. Suppose 3*b + 3*m - u = 0, -b + 7 + 5 = -m. Calculate the smallest common multiple of 16 and b.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*a + 39 - 133, 0 = -5*l + 5*a + 570. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40887628 to the nearest integer?\nAnswer: 6394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-2856))\/(4\/(-14)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(6\/1)*9. Let w be (3 + -3)\/(1 + -2). Let y(o) = w*o**2 - 5*o + 2*o**2 - 3*o**2 + s. Give y(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1024*c - 230403. What is v(225)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34\/195 + 1\/39. What is the closest to -2 in -2\/9, -43, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*l + l - 730, 0 = -4*o + 5*l + 978. Let b(i) = -128*i - 106. Let q be b(-1). What is the greatest common divisor of o and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 7203.\nAnswer: 57624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 - 96*s + 150*s)*(3*s - 2*s - 2*s)*(-s - 3*s + 2*s) as x*s**2 + i*s**3 + k + j*s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 627056721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t + 733. Let u(m) = m - 21. What is u(q(d))?\nAnswer: 6*d + 712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/52 - 7\/13. Let s = 6.4 - 6. Which is the third smallest value? (a) -3 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**5\/60 + l**4\/8 + 2*l**3\/3 - 10*l**2. Let m be (-3 - (-2 + -2))*5. Determine w(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1506 is divided by 84.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = p + 4*r - 8, -51 = -3*p - 3*r. Suppose 6*z - 20 = z - s, -p = 3*s. Let f(y) = 1194*y**2 - 1188*y**2 - 4 - z*y + 0*y**3 - y**3. Determine f(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -46. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 30*x**2. Let q(a) be the third derivative of -3*a + 2*a**2 + 0 + 0*a**3 + 1\/24*a**4. Calculate t(q(m)).\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/7783 and -31\/35114.\nAnswer: 1509902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2*g + 2*v = 15, -v + 20 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.7724117 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4219 = -581*n + 100*n + 11173 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -95*j**3*w**2 - 3*j**3 + 1267*j**2 + 3301*j*w - 163*j + w**2 - 1 wrt w?\nAnswer: -190*j**3*w + 3301*j + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 490255*y**3 + 7*y**2 - 7*y - 490256*y**3 + 2*y + 3*y - 3*y. Determine h(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 14, g: 5}. Give prob of picking 1 g and 2 x.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -19\nAnswer: 48\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -0.5, 0.2, -0.861, -16.3, -1\/4?\nAnswer: -0.861","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.976 + 98.024. Is -24 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 185 = j, -4*l - 81 = -5*j + 286. Suppose a + 46 = -47. Let d = l - a. Solve d*y = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and 18?\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -60, -276, -636, -1140?\n\"Answer: -72*o**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 453124782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3*-8.04.\nAnswer: -18.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -4. Let u(d) = -d - 5. Let y(f) = 2*f + 11. Let l(x) = a*y(x) - 7*u(x). Let s be l(-2). Solve t = -s + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8509 + 78022. Let w = 127487 + i. Suppose 5*t + w = 4*t. What is t rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 5\/10*0. Suppose s*h = -0*h - 3*h. Let m(r) be the second derivative of -r**5\/20 - r**4\/12 + r**3\/6 - 6*r**2 - 2*r. Calculate m(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 2*y + 32, 139*m + 34*y = 279*m - 136*m + 352 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -6, 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5331439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 3*i - 1. Suppose -4*l + 1 = -3. Calculate the least common multiple of l and v(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1367, -5615, -12691, -22595, -35327?\nAnswer: -50887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017939 to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/9*-6*(-4)\/16. What is the third biggest value in c, 0.6, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37\/5 of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 = -3*t - 77. Let v = t - 38. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5702302828.82 + -5702303499.820000918. Let f = 671 + t. Round f to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.47 + -8.884511\nAnswer: -11.354511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -17 + 26 - n**2 - 10*n + 15. Let j be o(-12). Solve -3*q - 2*q + 25 = j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 174225568 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 15*k**2 - 305*k - 315.\nAnswer: 5*(k - 7)*(k + 1)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9396 and 85918590?\nAnswer: 515511540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111410461 to the nearest integer?\nAnswer: 10555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 39 - 1 = 0. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1407 is divided by 116?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*y**3 + 490*y**3 - 370*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7835.2745727 - -62\nAnswer: -7773.2745727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2) + -1 + 9 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7143833 and 269.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*f**3 - 79588*f**2 - f - 39182390 wrt f.\nAnswer: -129*f**2 - 159176*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10*w**2 + 376*w - 486. Give t(-39).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26784.47606 rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -356, -439, -522, -605?\n\"Answer: -83*s - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2\/3, 4, 1\/6, -4\/9 in decreasing order.\nAnswer: 4, 2\/3, 1\/6, -2\/5, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**3 + 5*l**2 - 6*l - 210. Let j(y) = 2*y**3 + 2*y**2 - 3*y - 104. Give 2*i(t) - 5*j(t).\nAnswer: -2*t**3 + 3*t + 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 107, -5353 in ascending order.\nAnswer: -5353, -16, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1493 = -122*k + 459. Solve p - m = -2*p - 5, -4*p = m + k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1652 and 6357368?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 3*x**2 + 8*x + 4. What is the remainder when c(6) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2\/5 - 37825*v + 126082\/5 = 0. What is v?\nAnswer: 2\/3, 63041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30, 73, 120, 171, 226, 285?\n\"Answer: 2*s**2 + 37*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.6489993502 + -7.649. What is g rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/17 (b) 0.05 (c) 0 (d) 1\/5 (e) 17561\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/5*(-50)\/(-15). Suppose 0 = -2*o - 2*d - 2*d - 194, 3*d = -4*o - 373. Is o\/g - (-5)\/20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1238417354 and 12178.\nAnswer: 12178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + (11 - -6) + -1 + -1 + 2?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 0*(-4)\/16. Let p(i) = 2*i**3 - 3*i - 2. Let c(o) = 1. Let s(m) = 5*c(m) + p(m). Let u(r) = r**3 - 4*r + 4. Determine b*s(j) + 3*u(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, z: 4, k: 2}. What is prob of sequence kk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from vaelslvda?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*d + 28 = -235*d. Put -4, d, -3, 8 in increasing order.\nAnswer: -4, -3, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 3*a - 1. Let v = -23 + 27. Let u be o(v). Sort u, -5, -2.\nAnswer: -5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 u, and 1 z when three letters picked without replacement from uzuagalxaallzl?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 11. Let r be f(11). Solve r = 7*l - 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 4:08 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-5))\/(2 + -1)*-317. Suppose -2*m - 1317 - v = 0. What is the units digit of m\/(-9) - (-30)\/135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:26 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 2*k**3\/9 + 2*k**2 - 32*k\/3 + 21. Suppose x(q) = 0. Calculate q.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*t + 85 = -139*t - h, 0 = -5*t + 8*h + 240 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12 = 20. Let k = -23986 + 24014. What is the remainder when k is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -741, -828, -1033, -1416, -2037, -2956, -4233?\nAnswer: -5928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Suppose s - 2*s + 2 = x*z, 5*z + 13 = 2*s. What is the smallest common multiple of 20 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999 is divided by 923.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -909*b**3 + 359*b**3 - 1369*b**3 + 68*b**3.\nAnswer: -1851*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*v + 172 - 274 - 306 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:23 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/14 and 27\/662.\nAnswer: 4634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 10:36 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -224360 divided by -56090?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000 + 10110000101010?\nAnswer: 10101110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 10 = 90. Let k = -19 + m. Let n = -0.1 + 0.3. What is the nearest to -1 in n, k, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/4 - -5\/4. Let t(x) be the second derivative of -x - 1\/12*x**4 - 1\/6*x**3 + 0 + d*x**2 + 1\/20*x**5. Factor t(a).\nAnswer: (a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 14*a + 14. Solve a*x = 3*c + 2, -x = 3*c + 4*x - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**3 + y**2 - 3*y**3 - y - 3 + 0 + 5*y**2. Let n be b(-6). Solve -n*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2136893 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -42. Let z(c) = c**2 - 16*c - 15. Let i be z(n). Let m be i*(12\/5 - 3). Solve -f = 6*k - 3*k + 7, -5*k - m = 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150176506.\nAnswer: 2, 75088253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -760*f**2 - 81 - 48 + 761*f**2 to the form r*f**2 + p + s*f and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/630810 and -1\/10320.\nAnswer: 5046480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15969*j**5 - 12114*j**2 wrt j?\nAnswer: -958140*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -70063\/31 and -2259 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 76073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 899360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 900 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 less than -30529?\nAnswer: -30801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -792, -1996, -3636, -5712, -8224?\nAnswer: -11172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-20))\/(1\/10))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*h + 122*h**2 + 115*h**2 + 116*h**2 - 351*h**2 to d + p*h**2 + g*h and give g.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -472 - -495. Solve -o*c - 20 = -27*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-30))\/(3247\/194820).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6)*(-9)\/2. Let o(a) = 2*a**2 + 34*a + 38. Let b be o(-16). Let x be (-16 + 10)*(-4)\/b. Sort v, x, -2, 2 in decreasing order.\nAnswer: x, v, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.25*0.997.\nAnswer: 22.18325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1098 and 13503?\nAnswer: 4942098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24798 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11536832 and 16.\nAnswer: 11536832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -60, 5, 38, 6, -5 in increasing order.\nAnswer: -60, -5, 4, 5, 6, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(50\/(-12)) - 1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -13, -3, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/3)\/((-14)\/(-24339)*19). What is the highest common factor of 244 and u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*f = 911 + 1239 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2978 is divided by 83.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11446 and 51618.\nAnswer: 590819628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 30*l + 29*l + 80, 84 = -4*o + 2*l. Which is the nearest to -5? (a) o (b) -1\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.44 - -1.34. Let t = 6 - 5.96. Let y = t - 0.44. Which is the second smallest value? (a) y (b) q (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-133)\/19551)\/(3\/(-90)))\/(((-75)\/126)\/(-5))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -1)*26\/(-65)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -49498*s - 11335037. What is v(-229)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 8*z + 32 = 0, -5*z - 8 = 147*x - 148*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 30. What is the third derivative of 5*u**6 + 11*u**2 + 14*u**o - u**2 + 0*u**2 wrt u?\nAnswer: 2280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537347879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s = -193 - 77 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -11, -17, -31, -59, -107, -181?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63370 and 800?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 282*q - 107. Let j(t) = -2. Let g(o) = 279*o - 102. Let f(d) = -g(d) - 3*j(d). Let b(i) = -3*f(i) - 2*x(i). Differentiate b(p) with respect to p.\nAnswer: 273","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/30*2\/30*5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x + 0*x**2 + 4*x**2 - x**3 - 3 - 10*x**2. Let f be 0 + 1 - (2 - -6). Let q be y(f). Which is bigger: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -387 and -17.302.\nAnswer: 6695.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = v - 68. Let t = -230 - v. Calculate the highest common divisor of t and 102.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + 7)*5*3. Solve 5 = -5*a - d, -4*m - 4*a = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82271 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + y**2)*(4060212*y**2 - 4060044*y**2 + 2 + y + 3*y).\nAnswer: 168*y**4 + 4*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -47*m**2 - 2637*m - 2597. Give q(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*((1 + sqrt(612))**2 + -3).\nAnswer: -10980 - 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -1 (c) -2.551\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 257 = -r + 1685, -10 = 5*r. Let l = s - 983. List the prime factors of l.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 669892 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 17430938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 430 and 6538010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1042 - -4?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 14*k. Let f(a) = -5*a. Let g(y) = 17*f(y) + 6*q(y). Let x(b) = -2*b - 8. What is x(g(s))?\nAnswer: 2*s - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -4 (c) 366 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -11*u - 26. Let t(f) = -f**2 - 3*f + 12. Let m be t(u). Solve 2 = -x, 4*s - m - 10 = 4*x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*4\/(60\/(-5))*4\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 5*z**2 + 2*z**2 - 2 - 5*z**2. Let x = -3 - -5. Let t be q(x). Solve -3*u = -u - t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 943*a - 948*a + 89 - 353 = 29*q - 32*q, 0 = -6*q + 7*a + 519 for q.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -10. Let z(n) = n + 1. Let c(v) = 7*v**2 - 1 + 2 - 9*v**2 - 4*v - 6. Let u(r) = p*z(r) - 3*c(r). Find the first derivative of u(l) wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (sqrt(176) - (-1*sqrt(176) + sqrt(176))*-5 - (sqrt(176) + (sqrt(176) + 0 + -2 - sqrt(176)) + sqrt(176))) + 4*(2 + 3*sqrt(176)))**2.\nAnswer: -64035 - 1848*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 - 31*s**2 - 79*s + 41. Calculate f(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6329 is divided by 204.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -9. Let a be h\/(-4) - (-261)\/36. What is the greatest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(16\/6)*(-172)\/(-23650)*-55\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**5 - 64*u**4 - 4344*u**3 - 12608*u**2 - 12460*u - 4128 = 0.\nAnswer: -24, -1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/19 smaller than 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7622.4 + 8346. What is u rounded to the nearest 10?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -71. Suppose -14*r**4 + 139*r**5 + 4*r + 0 - 124*r**5 + 0 - t*r**3 = 0. What is r?\nAnswer: -1, -2\/5, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.9988 - -19. Round o to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -119785\/12 + 9989. Find the common denominator of 194\/10*(-5)\/(-6) and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4675.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (5 + -7 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + (sqrt(637) - (sqrt(637) + sqrt(637)*1))*1 - ((2*sqrt(637) - sqrt(637)) + -5)*-4)**2*-5.\nAnswer: -28980*sqrt(13) + 187860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -176618 greater than -176621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n + 0*n)*(6 - 3 + 1)*(-175 - 251 + 76).\nAnswer: -2800*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 + 122676*s**2 + 11741148*s + 34119468.\nAnswer: 4*(s + 3)*(s + 93)*(s + 30573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 87296126561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**2*f*s*y**2 - 348*b**2*f + b**2*y**2 - 2*b*f*s*y + 3*b*f*y**2 + 20*b*s*y**2 + 2*s*y wrt b?\nAnswer: 6*f*s*y**2 - 696*f + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-858)\/56) - 6\/(-33)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13 from -0.454661.\nAnswer: 12.545339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*sqrt(320)*3 + (sqrt(320)*-1 + -2 - (1 + sqrt(320) + 3)) + -3)**2.\nAnswer: -4896*sqrt(5) + 370001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642*n + 139*n + 171*n.\nAnswer: 952*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 + 12)\/(126\/128 - 1). Let k = z + 240. What is the highest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(9*z + 8 - 8)*(2 - 6 + 2) in the form s + f*z and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1bb + 1?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -32, -33, -34, -35, -36?\n\"Answer: -t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -342*d + 0 - 18 + 177*d + 161*d. Determine f(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 91509236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*q**2 + 10*q**2 - 6*q**2 - 9*q**5 + q**6 - 8*q**2 wrt q?\nAnswer: 120*q**3 - 540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10, -2\/13, 2\/144805, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -22*m + 1570*m**2 + 30*m - 8*m - 317*m**2. Let x(i) = -2*i**2. What is y(x(d))?\nAnswer: 5012*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -560 - -3901\/7. Do -3 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + v**4 - v**3)*(-2*v - 2*v + 2*v) - 5345*v**5 + 22*v**4 + 7*v**4 - 35*v**4 + 6*v**4.\nAnswer: -5347*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.67497 decades to centuries.\nAnswer: 0.667497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 381 + -350 - (-6 + -6 - -154)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2677*g + 235 - 531 + 296)*(1 - g - 1 + 2*g - 2 + 2 + (1 + 0 - 2)*(-g - 2*g + g) - 3 + 2*g + 3).\nAnswer: 13385*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1419*f - 1145*f - 548 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -29 - (303 + -373)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -14 (b) 7 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (44677\/(-5195))\/(2\/10)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 minutes before 1:41 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2\/5, 1695, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 529391 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 4:47 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3113439*o*r**3 + 39*r**3 + 3362*r wrt o?\nAnswer: -3113439*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 506309 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) + (sqrt(96) + -2*sqrt(96))*5)\/(sqrt(12)\/(2*sqrt(144))*-3).\nAnswer: 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 - 4*a**2 + 4*a + 10. Calculate f(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*p + 352 + 476 = 0, -3*r + 825 = 5*p. Calculate the remainder when r is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Suppose 4*a + 3*r = 110, -a + 3*r + l*r + 16 = 0. Suppose -k = -0*k - a. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hghg when four letters picked without replacement from ghghgmgw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 22266, 23, 1, 3 in descending order.\nAnswer: 22266, 23, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3895 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 26334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.5 (c) -1\/49 (d) 10 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 16 - 8. Solve -5*k + 17 = 2*b + 2*b, x*b + 8 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -4. Solve 5 + 11 = -m*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 2)\/((-1)\/1). Let x be (-1)\/(3\/l) - -28. Calculate the highest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:44 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 3. Suppose -30 = -231*p + 226*p. Give i(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and -2?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77752204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/810 and -106\/2835?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -418068, -418067, -418064, -418059, -418052?\n\"Answer: h**2 - 2*h - 418067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-5))\/4)\/(((-11214)\/9765)\/89)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*s - 5*c - 6 = 0, 0 = -3*s - 3*c. Which is bigger: s or -2\/15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(4 - (-259)\/(-65)). Let a = j + -33. Suppose -220 = -4*y + a. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*a + l - 3*l, 5*a = -2*l + 80. Let z(k) = -3*k - 5. What is the remainder when z(-12) is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + 32 + -35 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) 0.3 (c) -8 (d) -2057 (e) 1\/2 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -523 + 548. Calculate the smallest common multiple of m and 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + t - t + t**2)*(t**2 + t**2 - 8*t**2)*(14 + 22 - 29).\nAnswer: -42*t**4 - 84*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -21*f**2 - 9*f - 4. What is s(-2)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a factor of 24944580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*b + 2 + 3 + 14*b)*(b + 3*b + 0*b).\nAnswer: -12*b**2 + 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -3074?\nAnswer: 3071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 + 3*y. Suppose -5*i + 944 = 169. Let x(d) = -14*d + 131*d**2 - i*d**2 + 0*d. What is 14*h(l) + 3*x(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 563 - 395. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsnntsezzzttnztzznnt. Give prob of picking 1 z, 1 s, and 1 d.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2536575.\nAnswer: 3, 5, 31, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.5, 29\/5, 5, -0.25, -205 in ascending order.\nAnswer: -205, -5.5, -0.25, 5, 29\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -17050bc?\nAnswer: -17050c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -1991*h**4\/72 + 332*h**3\/3 - h**2\/3 + 163*h + 23. Determine d, given that f(d) = 0.\nAnswer: 2\/1991, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 42. Let o = 439\/11 + -40. Put v, o, 5 in increasing order.\nAnswer: v, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 + 3*h**3 - 6*h**3 - 2*h**3 - 7*h - 4*h + h + (-3*h**2 - 1 + 1)*(-h + 3*h + 0*h).\nAnswer: -10*h**3 - 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116*c**3*i**4 - 111*c**3*i**2 - 8*c**2*i**5 - 3*c**2*i**2 wrt i?\nAnswer: -2784*c**3*i - 480*c**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 4. Let d be 2\/(((-1)\/(-1))\/6). Let f = a + d. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87 + 84. Let s = -0.4 - -3.4. Let j = -3271 - -3215. Sort m, s, j.\nAnswer: j, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*u)*(-35*u**3 + 18*u**3 - 23*u**3)*(-2 - 1 - 1) to the form k*u**2 + o + h*u**3 + g*u + w*u**4 and give w.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-9)*c)**(-3\/10) assuming c is positive.\nAnswer: c**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*f + 19*f + 2394. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11140 + 1013313?\nAnswer: 1030003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.4\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(66\/(-45))\/11.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788726968.\nAnswer: 2, 17, 563, 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 + 114. Let i = 8 + -2. Let l = -4 + i. Which is the smallest value? (a) 0 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 13 - 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53230570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) + 2\/6. Let x = 2 - r. Solve 5*y = 4*m + 3 + 3, -x*y + 3 = -m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.09 (b) -158 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42645 + 211761\/5. Let m = y + 293. Put -1, m, 22 in descending order.\nAnswer: 22, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + 0*y**3 - 1 - 4)*(-18*y - 39*y + 104*y).\nAnswer: -47*y**4 - 235*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6)*w**(-7)*w**7*w**1 assuming w is positive.\nAnswer: w**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**3 + 6*c**2 - 60*c - 72. Let p(s) = -5*s**3 - 3*s**2 + 59*s + 72. Let q(i) = -3*o(i) - 2*p(i). Factor q(w).\nAnswer: -2*(w - 4)*(w + 1)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-264)\/90)\/(14 + 621\/(-45)) + (-5)\/(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + 0 + sqrt(7) + (sqrt(28)*1)**2 - (5 + (sqrt(7) - (sqrt(21)\/sqrt(3) + sqrt(7))**2)*-2).\nAnswer: -33 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**5 + 28*o**4 + 52*o**3 - 12*o**2 - 72*o = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2296.1 - -2296. Let t be 3*2\/3 + 8. Let k be (8\/14)\/(t\/7). What is the fourth smallest value in -1\/7, b, -11\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.84 + -12. Let b = z - 0.14. Let u = -5.3 - b. What is the smallest value in u, 2\/13, -4\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9580.37m to nanometers.\nAnswer: 9580370000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/(-15) - (-4)\/(-20). Solve 0 = x*b - b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 4:06 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 730 - 730.004968. Let v = 0.03259 - 0.03759. Let d = v - u. What is d rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 9:30 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5289 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 5?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9342 divided by -346.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/84874 and -75\/44.\nAnswer: 1867228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(8\/9))**(1\/9) assuming s is positive.\nAnswer: s**(8\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -345 + 322. Calculate the common denominator of n\/(-18) - (473\/(-44) + 11) and -149\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2723463 (base 8) to base 6.\nAnswer: -24211351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4561 + 4563. Let l(v) be the third derivative of 0 - 14*v**x + 0*v**4 + 0*v - 1\/210*v**5 - 1\/210*v**6 - 1\/735*v**7 + 0*v**3. Factor l(p).\nAnswer: -2*p**2*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 317? (a) 2 (b) 8 (c) -3\/4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85 by -5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*d - 56. Sort -1, 5, d, 2.\nAnswer: -1, 2, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, m: 1, s: 1, p: 2, l: 1}. Give prob of picking 1 s, 1 t, and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -753?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1570 - 1525. Calculate the lowest common multiple of z and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -664, -644, -590, -484, -308?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.89 and -3?\nAnswer: -8.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20527 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/453105 and 43\/1711730.\nAnswer: 15405570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 64367644156 - 64367644156.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550587 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(0 - (2 - 2)). Suppose o*k = -4*k + 280. Find the common denominator of (k\/15)\/(4\/7) and 119\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*x + 7*x - 3*x)*(0*x**2 - x**2 - x**2) - 8*x + 8*x + 6*x**3)*(-1 + 2 - 3).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*h + 5*u, h - 4 + 2 = -4*u. Let g = -3 + 4. What is the remainder when h is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8659.52 millilitres?\nAnswer: 8.65952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111000000010 (base 2) in base 16?\nAnswer: 2e02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1512*q + 12683 = -14750 - 5332 - 6547 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 17977*f - 251690. Give s(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - (-248)\/(-155))*(-12049 - 1)?\nAnswer: 2, 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3023 - 170?\nAnswer: 2963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6154\/(-90) - 2\/9. Let n = -69 - d. Let b = 1 + 1. Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -351*x**2 - 1270*x + 20251. Give j(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171)*-1 + sqrt(171) - (sqrt(171)*2*-3 - sqrt(171)))\/(sqrt(36)\/(sqrt(4) - (sqrt(4) - sqrt(16))*3)).\nAnswer: 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 1 + 13 + (0 - 3 + 5)*(1 + 0 - 3))*(s**4 + 4*s - 4*s) - 4*s**4 + 3*s**4 - s**4.\nAnswer: 30*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, c: 5, g: 1, f: 4, u: 1}. Give prob of sequence ffq.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5\/7 - 324*r**4 + 67786*r**3\/7 + 386388*r**2\/7 + 316336*r\/7 = 0 for r.\nAnswer: -1163, -4, -1, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -98.1 (c) -0.1 (d) -15 (e) 0 (f) -2\/15 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2878817, 2878839, 2878873, 2878919, 2878977, 2879047, 2879129?\nAnswer: 2879223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -3832\/15 and -254 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**3\/6 - 9*i**2\/2 - i. Let a(c) = -17*c - 12. Let n be a(-2). Suppose n*k - 124 = -9*k. What is m(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/2)\/((-2)\/4). Let c = 16321 - 16312. What is the greatest common factor of c and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = -5*i + 1809. List the prime factors of i.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -170 times 792\nAnswer: -134640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 3950.\nAnswer: 3950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59991.78 tonnes in micrograms?\nAnswer: 59991780000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7242 or -18248?\nAnswer: -18248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - x + 1. Suppose 10 = 5*r, 0 = -2*t - r + 1 - 7. Let h be a(t). What is the highest common factor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.3 or -324214?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3982385 and 31405.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 7. Let k = 43 - 41. Suppose 52 = 22*w - 9*w. Suppose 4*g = t + 27, k*g - w*t + 1 - 25 = 0. Determine l(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.025?\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*m - 232, 3*m - 194 = -5*c + 156. Let d = -158 + m. What is d rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 - 123*x + 57. Give w(61).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (160\/(-3))\/(30\/1513125). What is f rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1772 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: Let v(o) be the second derivative of 15*o**4\/2 + 206*o. Let w(d) = 7*d**2. Determine w(v(k)).\nAnswer: 56700*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4406933 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 5*h + 67, -8*o + 58*h - 57*h + 13 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, 172, 0.3, 12, 149\/2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*w - 48631, 8*w = m + 12*w - 12172. What is m rounded to the nearest one hundred?\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, 8, 74, 208, 434, 776, 1258?\n\"Answer: 4*l**3 - 2*l**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12363643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 5*v - 7. Let r be (-1 + 3 + 15\/(-6))*10. Does 4 divide d(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 10:26 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2199688*c**6 + 3*c**2 - 203*c - 284 wrt c?\nAnswer: 263962560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) - (-156)\/(-42). Sort 5, g, -5 in ascending order.\nAnswer: -5, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r - 6. Suppose 5*h - 3*h = r. Suppose 0 = -h*u + 7 + 26. Let b(f) = -f**2 + 3*f + 4. Let a(o) = -5*o**2 + 16*o + 21. Determine u*b(y) - 2*a(y).\nAnswer: -y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/5 + 858*o**2\/5 - 2556*o\/5 = 0.\nAnswer: 0, 3, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58133972*w**3 - w - 105066128.\nAnswer: -174401916*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2. Let k(f) = 4*f**2 + 0*f**2 - 6*f**2 - 4*f**2. Determine i(k(t)).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9*m - 10 + 4*m - 2*m + 11*m - 3*m. Let h(t) = -1. Give 4*h(a) + l(a).\nAnswer: a - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*v - 10120 = -296*v + 284*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1153*f**5 + 2378*f**2.\nAnswer: 69180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1093 divided by -13737\nAnswer: 1093\/13737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 659 divided by -107.\nAnswer: -659\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97 + 103. What is the remainder when (b\/4)\/(((-10)\/164)\/(-5)) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57784 (base 11) to base 3\nAnswer: -11020111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 730 and 600?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563087 is divided by 5413?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8 + -3.2. Let g = 28 + -27.1. Which is the biggest value? (a) k (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8160 to the nearest 100.\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**6\/120 + 7*b**3\/3 - 4. Let a(w) be the third derivative of r(w). Factor a(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2\/9 + 128*o\/9 + 125\/3 = 0.\nAnswer: -125, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/b*b*b**(6\/11))\/(b*b**9*b**(1\/7))*(b**(-3\/4)*b*(b\/(b\/(b**8\/b)))\/b)\/(b**8*b**(-5)) assuming b is positive.\nAnswer: b**(-415\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*u - 902 = 973 + 369 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4003.555 hours?\nAnswer: 240213.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**11*f**(-8) assuming f is positive.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 62*-78.2\nAnswer: -4848.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310710*q + 315372*q = 545454 for q.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -2 (b) -1\/5 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4302371, 4302372, 4302383, 4302410, 4302459, 4302536, 4302647?\n\"Answer: f**3 - f**2 - 3*f + 4302374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 3.41, -3, 0.2, 0.3, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 16, o: 4}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/29997 and 40\/891.\nAnswer: 89991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 75, 1.3, -0.3, -0.03, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 7 - 8 + 3*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-579*r**2 - 74*r**2 - 20*r**2)*(18*r + 8*r - 2*r) + (1 + 0 + 0)*(6 - 3 + 3*r**3 - 1).\nAnswer: -16149*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4458236642?\nAnswer: 2, 29, 173, 643, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.045384601 from 83.\nAnswer: 81.954615399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 2*z + 12, o + 4*o + 3*z = 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1 - s + 4*s - 2*s - s**2. Let h(r) be the first derivative of 2*r**3\/3 - r**2\/2 + 3*r - 24. Determine f(o) + h(o).\nAnswer: o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -1101?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4332316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 4*y**2 - 1\/240*y**6 + 17\/40*y**5 - 13*y**4 + 0*y + 7 - 169\/3*y**3. Determine o so that u(o) = 0.\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + s - s + (-4 + 3 + 3)*(s**4 + 5*s**4 - 4*s**4) + 0*s**4 + s**4 + s**4 + s**4 - 4*s**3 + 4*s**3 + (2*s**4 - s**3 + s**3)*(-26 - 21 - 14).\nAnswer: -117*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, p: 2}. What is prob of picking 2 j and 2 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s + 4. Let l(c) = c**3 - 85*c**2 + 165*c + 85. Let q be l(83). Determine t(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4122292245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1188, -4345, -9606, -16971, -26440?\n\"Answer: -1052*h**2 - h - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 11 + 47. Find the common denominator of 26\/(-66) + 4\/v and -30\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a2 + 249?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 5) to base 7\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-18) + 13\/(-3). Let t = 6 + i. What is the second derivative of 3*b**2 - 2*b**t - b + 2*b**2 - 5*b**2 wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2974 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 lowest common multiple of 371544 and 1130?\nAnswer: 1857720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1, -2\/555?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 4*q + 8. Let y(u) = 5*u - 1. Let s be y(1). Let a(t) = -5*t + 14. Let i be a(s). What are the prime factors of l(i)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*s**2 + 5596*s**3 - 27*s**2 - 29*s**2 + 4*s**2 + 89*s**2.\nAnswer: 5596*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140034139?\nAnswer: 7, 137, 146021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6162729 divided by -86?\nAnswer: 6162729\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(204)*-1)\/sqrt(12)*-3)**2 + (sqrt(204)\/sqrt(4))\/sqrt(3)*1)*-6.\nAnswer: 18*sqrt(17) + 2754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1476, 1254, 634, -588, -2616, -5654, -9906, -15576?\nAnswer: -22868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14*-2626\nAnswer: 36764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 + -148. Let q = d + 223. Let j = 1179\/14 - 169\/2. Is j at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**3 - 3*y + 3*y)*(8*y - 3*y + 0*y + (-3*y - 2*y + 2*y)*(-4 + 14 + 1))*(3 - 4 + 3).\nAnswer: 280*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -530*t - 541*t + 310 + 1075*t to the form g + l*t and give g.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*-1)\/((-45)\/90).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 41*p + 5*p + 23*p + 5 + 0*p + 6*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20678061*k**4 + 76930*k + 73 wrt k.\nAnswer: 248136732*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*h = -64, y + 367 = -h + 733 - 391 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence naaj when four letters picked without replacement from {j: 5, a: 5, k: 4, y: 3, n: 1}?\nAnswer: 5\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + g + 3. Determine u(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 96?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 146389386917778.2599943 + -146389400686255. Let f = -13768476 - k. Let i = f - 0.74. What is i rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*q - 120*q = -6*t + 58, -4*t = q + 20 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - p = 3*m - 3, 2*p = 5*m - 12. Suppose -m*r - 17 = -127. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567521901 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5475\/(-50) + 110)\/((-62)\/(-4))?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (339169\/(-113059) - -3)*(-340148)\/(-9). Let x = i - 1965\/677. Let t = x - -1\/167. Does -2 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7 - 3 = 0. Suppose 364 = r + z*f, 2*r - 5*f + 42 = 734. Suppose 0 = 2*m - 6*m + r. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-56)\/(-20) + -3)\/(4\/(-10)). Factor 0 + 1\/2*g + d*g**2.\nAnswer: g*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 371, 375, 381, 389, 399?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148003 and 187765?\nAnswer: 2209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 394003329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**4 - 2545*b**3 - 322565*b**2 + 330225*b + 650250 = 0. What is b?\nAnswer: -255, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 12. Let a be l(-7). Suppose -3*i + 16 = x, 7*x - 12 = a*x - i. Solve -2*u = -x*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2295875, -2295856, -2295837, -2295818?\nAnswer: -2295799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -250.19 and -24.\nAnswer: 6004.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/27 in -1\/72, -0.064, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -932792*a**3 - a + 373190 wrt a?\nAnswer: -5596752*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392, -1860, -4404, -8024, -12720?\nAnswer: -18492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05536 plus 10689?\nAnswer: 10689.05536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eega when four letters picked without replacement from {e: 5, h: 10, g: 1, a: 1}?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303309 is divided by 9648?\nAnswer: 4221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duofuufodu. What is prob of picking 1 u and 1 o?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-88)\/(((-6)\/4)\/3). Suppose 2*v - p = -2*w - 3*w, -3*v + 251 = w. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79196738 to the power of 1\/2, to the nearest integer?\nAnswer: 8899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 7:07 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 6*b**2 + b + 7. What is the remainder when k(-7) is divided by (125\/(-15))\/(16\/(-12) - -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 2:37 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Suppose -4*p + 10 + 10 = 0. Suppose -2*a + 0*l + p*l = -7, -s*a + 5*l = -8. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) -51725 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66909 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -81 divided by 6599\nAnswer: -81\/6599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1355*u + 672*u - 6 + 682*u + u**2. Let w = -16 - -24. Suppose -4*o = -3*g - w*o + 20, -4*o + 20 = -g. Determine i(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37178 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: Which is the closest to 1? (a) 0.078 (b) 5 (c) 4\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4323 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39265930, -78531860, -117797792, -157063726, -196329662?\nAnswer: -235595600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w + 14. Let n(t) be the third derivative of t**4\/4 + 29*t**3\/6 - 8*t**2. Let p(s) = 13*b(s) - 6*n(s). What is the tens digit of p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.29 + 0.29. Suppose 6*r + 512 = 530. What is the closest to o in r, 4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 75\/2 + (-2)\/4. Let w = n + -33. Solve -5*a + 9 = -2*a - 2*y, w*y = -3*a - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4*g - 2 - 16*g**3 - 2*g**2 + 0 + 38*g**3 in the form p*g**3 + i*g + j + t*g**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 0 + 18\/5*h**3 - 14\/5*h**4 - 4\/5*h**2 + 0*h = 0?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r. Let b(g) = 3*g. Suppose -16*p = -6*p + 60. Let k(u) = p*b(u) + 3*s(u). Let x(v) = 17*v. Let i = 15 - 9. What is i*x(q) - 11*k(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 794.79558ms to hours.\nAnswer: 0.00022077655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14 + ((-36)\/(-6))\/6. Suppose 4*w - 16 + 0 = 0. Suppose a = -w*a - m. Put -2, a, 4 in ascending order.\nAnswer: a, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16799 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 993*x**3 - 12 + 39 - 8 to the form l + j*x**3 + b*x**2 + g*x and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128 + 134. Let w be (a\/45)\/((-70)\/(-25)). Suppose 3*u = -2*u. Is u less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 342\/608*8\/6. Suppose 0 + m*a - 3\/2*a**2 = 0. What is a?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 29*a**2 + 3*a - 4. Let u be m(-4). Let b = -291 + u. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f43 + -12d1?\nAnswer: -4214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 4380264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -7. Let t(p) = 7*p**2 - p + 1. Is t(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-107)\/(-5) + 72\/45 + -2. Let z be (y\/14)\/((-18)\/(-16))*72. What is the greatest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = -286 + 316 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/7 + (-4)\/(-2). Suppose 12 = -2*z - 3*h + 2*h, -2*z + 3*h - 12 = p. List the prime factors of z\/21 - (-405)\/21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4, -3*k + 17 = r + 4. What is the remainder when r is divided by 0\/1 + (-15)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*j + 1, -2 = -j + 2*j. Solve n + h = 0, -3*n - 14 = 2*r + 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**6\/540 - f**5\/15 + 25*f**3\/3 + 109*f**2. Let w(i) be the first derivative of y(i). Factor w(k).\nAnswer: -2*k*(k + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d98 (base 14) in base 13?\nAnswer: b29c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.103 * -3.\nAnswer: 0.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + z - 2 = 0, 3*z = 3*k - k + 6. Let x(l) = -5 - 4*l + 4 + k*l - 12. Let t(b) = -b - 3. Let i = 28 + -26. Give i*x(y) - 9*t(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*r - 16, 6*r = v + r + 18. Let o(i) = i**v + 0*i + 0*i. Let q(n) = 4*n**2. What is o(q(k))?\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*o + 7315 + 3143 = 0 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.63 + 13.93. Let f be 7\/14*(-4)\/54. What is the biggest value in l, -4, f, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1112 - -1?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.13 + 0.87. Which is the second biggest value? (a) g (b) 4 (c) -0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 1353.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/42 + 104\/91 - 75\/6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from qrhhrqhqvqhhhqqqr?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 13*l + 6*l + 120 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -6. Let a(t) = -t + t - t + l. Let p(f) = -4*f. What is a(p(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**5 - 10*c**4 - 2*c**3 - 6*c**2 - 8*c. Let l(s) = 0*s**3 + 0*s**3 + s**2 + s + s**4. Let j(i) = -8*l(i) - t(i). Factor j(g).\nAnswer: -2*g**2*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, q: 1}. Give prob of sequence qee.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0511 - -0.0011. Sort -0.5, 0.1, f.\nAnswer: -0.5, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 597066 and 42201?\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4743708 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v**2 + 6*v - 5. Let f(x) = -x**2 - x + 1. Determine d(h) + 6*f(h).\nAnswer: 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 8:24 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u - 3*u - 2*u + 0 - 2. Let o be f(6). Suppose -5*x = 10, 0 = -2*n + 5*x + o + 10. What is the lowest common multiple of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 101*w**2 - 3634*w - 70. Let z be a(36). Suppose 5\/3*d + z - 1\/3*d**4 - 5\/3*d**2 - 5\/3*d**3 = 0. What is d?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -851 = -7*r + 220. Suppose -5*a + 317 = -r. Let c = 160 - a. What is the remainder when c is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10351 + 1)*(-4 - -144). Round o to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6b - -1a67?\nAnswer: 1ad2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve -804*b - 26 = -803*b - 3*m, -62 = -3*b - 5*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpdd when four letters picked without replacement from ridddpddrrrmim.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6128 - 0.4128. What is the smallest value in 1\/20, -126, l?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nennne. Give prob of sequence nnn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 28 - 20)*(d + 2*d - 2*d) as x*d + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32169791 or -1\/28?\nAnswer: 32169791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**7)**15\/(x**(4\/13)\/(x\/(x\/(x**(-1\/24)\/x)))) assuming x is positive.\nAnswer: x**(-28501\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 203 - 82 = -5*a, 5*v - a - 475 = 0. Suppose 0*k = k + p - v, 461 = 5*k - 2*p. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96968108.\nAnswer: 2, 71, 107, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.294 - -0.17. Let z = m - -0.024. Which is the closest to 1? (a) -0.2 (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3\/(-9) - (10 + (-88660)\/39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -s + 8, 3*p + 3 = 4*p. Solve -3*w + 15 = s*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3256)\/(-30960) + 1\/2. Let k = -2\/387 + d. Factor -3\/5*v + k*v**2 + 0.\nAnswer: 3*v*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 335280?\nAnswer: -335284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 23*b**2 + 10*b - 40. What is the units digit of d(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 4 + 13 - 11*l**2 - 17 + 10*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70485 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - -9.09. Let y = -6 + o. Which is the smallest value? (a) 0.1 (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1\/18, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2814906978 to the power of 1\/2, to the nearest integer?\nAnswer: 53056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/12*(-317)\/(-634)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w + 0*w)*(-7*w**3 - 2*w**3 + 12*w**3).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 6:38 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/5 + 940213*n\/5 + 125362.\nAnswer: -(n - 313405)*(3*n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13.7 (b) 1\/7 (c) 12\/11 (d) 3\/290\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (90*r + 306 - 306)*(-3*r + r + 3*r)*(-22*r - 35*r - 14*r) + 2*r**3 + 0 - 5*r**3 + 0 as o + i*r**2 + x*r + l*r**3 and give l.\nAnswer: -6393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -180643715*d. Let z(k) = k. What is z(u(n))?\nAnswer: -180643715*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-66032)\/12)\/((2\/18)\/((-1)\/2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 3.\nAnswer: -3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 70801366 and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(4 - 1690\/425). Suppose 2*m = 8*n - 3*n - l, 4*n + 3*m = 45. Suppose -2*g + 176 = 5*t, g = 5*t + n - 197. 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: List the prime factors of 4048126545.\nAnswer: 3, 5, 269875103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.514926 tonnes to micrograms.\nAnswer: 3514926000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22231028877.4 take away -51?\nAnswer: -22231028826.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -125612, -125614, -125616, -125618, -125620, -125622?\n\"Answer: -2*z - 125610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -219*n**2 + 599 wrt n.\nAnswer: -438*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*54\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 1 + 1)*(0*w - 3*w + 6*w) - 78 + 78 + 111*w**3.\nAnswer: 108*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*y + 6, -p + 5*y = -2*p - 12. Suppose p + 10 = 3*z - c, 5*c - 15 = -z. Solve 2*a + 6 = 2*q, -z*q + 10 = -2*a + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1176)*-2 + sqrt(1176) + sqrt(1176) - sqrt(2904)*-1)\/(-2*sqrt(800)*-3 + sqrt(800))*-2.\nAnswer: -11*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 610635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4)*(-4 + 3 + 0)*(6*r - r**2 - 6*r) - 2*r**2 + r**2 + 3*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**3 + n**3 - 4*n**3)*(-26 + 2 - 115)*(4 - 5 + 0)*(0 + 0 - 2).\nAnswer: -278*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (226 - 47 - 35)*(-2*h - h + 4*h) to k + a*h and give a.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 366*v - 373*v - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -717335, -717333, -717329, -717323?\n\"Answer: d**2 - d - 717335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1 - a**2 + 3*a + 6 - 8*a. Let z be q(-6). Let p = 2 - z. Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -110*j - 92. Give b(2).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.003028 + -0.003. What is c rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -44*w. Let v(o) = -2*o**2 - 37*o - 11. Let y be v(-18). Let r(n) = -2*n**2 + y + 7 - 14. Determine c(r(m)).\nAnswer: 88*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*k - 8*k**2 - 3*k**2 + 10*k to the form d + f*k + p*k**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d\/(d**0*d*d))\/d)*d*d*d)*d**19)\/(d**(2\/19)\/d**(-1\/12)) assuming d is positive.\nAnswer: d**(3149\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1302\/(-1488))\/(-5*7\/2520)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91096 and 251576?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2308 - 2305. Solve -21 = -p*b - 6, -41 = 4*i - 5*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 11*h**2 + 51*h + 53. What is the least common multiple of u(13) and 1386?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-226)\/23165)\/(1*10\/900)*(-2)\/6.\nAnswer: 12\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 358*o - 36*o - 36524 for o.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -v + 3258, 0 = 3*v - 2*v - 5*f - 3242. Suppose -197 = 5*n - v. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 10. Let h be x(10). Let u be 9*(-3)\/3 - h. Let o = 9 + u. Solve n + o*n + 5 = 0, 5*n + 35 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1083168742 to the nearest integer?\nAnswer: 32912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**5 + 5*s**4 + 696*s**3 + 55110*s wrt s.\nAnswer: -20*s**3 + 60*s**2 + 4176*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciiitti. What is prob of sequence tici?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 36. Suppose 4*r - 117 = -c. List the prime factors of r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/10 and -39\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -202815*t**5 + 102552*t**5 + 102481*t**5 + (0 + 3 - 5)*(-3 + 2*t**5 + 3) + 5*t**3 + 3*t**5 - 5*t**3.\nAnswer: 2217*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 296201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1173894?\nAnswer: 2, 3, 97, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 3. Suppose 6*b + z + 25 = b, -4*b - 21 = z. Let n(t) = -3*t + 1. Let i(l) = -9*l + 4. Let u(q) = -3*i(q) + 8*n(q). Calculate b*y(c) - 3*u(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171 is divided by 79?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12492?\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 11. Let b(v) = -v + 2. Let z be b(s). Let o be (z + -4)*(-20 - 0). Calculate the highest common factor of 48 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 114\/13 (c) -3 (d) -2\/5 (e) 21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117 by -57.\nAnswer: 39\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -140 - -8d?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 9*n - 8 = -4*h, -n - 8 = -4*h. Let t(b) = 2*b**2 + 3*b + 2. Let g(o) = -2*o**2 - 4*o - 2. What is h*g(s) + 3*t(s)?\nAnswer: 2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 2*a + 36 = 0. Solve 1 = -a*h + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*c + 10 = 0, 38*c + 9 = -3*s + 37*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 5*y - 3. Let g be n(-6). Suppose -3*b = 3*k + 336, -4*k + g*b - 16 = 432. Round k to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 4. Let z be (18 + (-8 - 6))\/2. What is the nearest to q in -0.2, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3282 divided by -3282.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17031474 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - p**2 + 6*p + 12. Is s(-6) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*i - 5*m - 3, 2*i - 5*m = -5. Suppose -3*k + i = -4. Suppose 0 = -3*x - c + 25, 0 = -2*x - 0*x + c + 20. Solve -4*j - x - k = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-62)\/(-310) - (-1)\/(-5). Solve -2*a - 10 = -a + 4*c, r = -2*a - 4*c - 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2803*p - 5592. Give l(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-20) - 3\/(-15). Let p**2 - 5*p**4 - 7*p**q + 2*p**2 - 6*p**2 + 15*p**3 = 0. Calculate p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 2*c - 1. Suppose 6*k + 4*k + 40 = 0. Calculate w(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*4 + -3 + sqrt(80).\nAnswer: -3 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 z when three letters picked without replacement from {h: 9, z: 5}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15839684 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120 - -132. Solve -5*i + w = 4*u, -5*u + i = 11 + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2507 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 44*y - 168. Give n(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 15*y - 140 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538 = 5*s - 1177. Suppose -2*u + r = -659, -2*u - 4*r + s = -u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 566537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10411 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10}. What is prob of sequence xx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5480482 (base 9) in base 4?\nAnswer: 23033103233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ere when three letters picked without replacement from {v: 1, e: 3, r: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 37323.\nAnswer: -1\/37323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83743764 divided by -391326.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -6.7 (c) 1.732\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12, -4\/5, 8 in increasing order.\nAnswer: -12, -1, -4\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**2 - n**3 - n**4 - 8*n**2 + n + 4*n**2 - 4 in the form u*n + c*n**4 + m*n**3 + i + r*n**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuhuuohuuxuhww. What is prob of sequence ox?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2988.54 times 0.699\nAnswer: -2088.98946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 126\/49 + (-76)\/(-14). Let q(s) = s**3 - 12*s**2 - 11*s + 7. Let a(u) = 3*u**3 - 42*u**2 - 39*u + 24. Let o(j) = v*a(j) - 18*q(j). Factor o(p).\nAnswer: -3*(p - 2)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*s + 67*s - 88 = 807 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5274, 5350, 5440, 5550, 5686, 5854?\nAnswer: 6060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1138*-2.\nAnswer: -2276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -59. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -728*u + 332750. Calculate a(459).\nAnswer: -1402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -678 by -6.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5666*d**3 + 2828*d**3 + 2833*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 126130 - -21?\nAnswer: 126151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10001011101010101101?\nAnswer: -10001011101010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 2. Let i = 15 - 10.7. Let f = i + -4. Which is the smallest value? (a) -3 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -56 - (13 + (28 - 14)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21230 + -133110?\nAnswer: -221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 0 - (-1 - -43)) + (-59 - -57).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 - -8 - (-34 + (-130)\/(-13)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 443*l + 448*l - 3 - 903*l + 4*l**4 + 4 to a*l + x*l**4 + u*l**2 + p + d*l**3 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 12 = -4*t, -15*t = -18*t - 6. Solve 2*r = f*g + 26, 3*g + 21 + 1 = 2*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 z when three letters picked without replacement from jznjxnnxzxxy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21119561977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 13 - 76658*g - 2.\nAnswer: -76658*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 + 0*h**2 + 5*h**2 + h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3949 - 1412. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 54?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2251044 + 19058 = -3*d + v, 2*v - 4 = 0. Round d to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.38 - 2.26. Let i = -4.24 - g. What is the nearest to -2.5 in 4\/5, i, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 3*y = 18. Let r(q) be the third derivative of 0*q**y - 1\/12*q**4 + 0 + 2*q**2 - 1\/60*q**5 + 0*q. Find the second derivative of r(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611626259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 - 13186*b - 132164. What is o(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-27.\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 1:58 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**9\/252 + 15*u**8\/56 - u**5\/12 - 7*u**3\/6 + 1875*u**2. Find the third derivative of d(a) wrt a.\nAnswer: 240*a**3 + 5400*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 34152?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**5\/60 + x**4\/2 - 5*x**3\/6 - 7*x**2. Let k(b) be the first derivative of z(b). Differentiate k(c) with respect to c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 a factor of 804154302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyyyfffyyyyyf. Give prob of sequence fyf.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3 - 116\/(-6). Let t be v + (-4)\/(-24) + 17\/6. Suppose -2*r + t = 16. Solve -3*d + 6 = -r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1460\/(-816) + 938\/23919 + -1\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**4\/2 - w**3\/3 - w**2\/2 + 7*w - 135. Let m be z(0). Solve 0 = -2*d - m + 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 + -69. Solve -14 + o = -5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 7:17 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/119, 1, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 + 448*f + 1454. Suppose 4*m = 71 + 25. What is the remainder when h(227) is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.5 - -13. Suppose 0*n + 36 = 4*n. What is the second smallest value in n, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 6\/1747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -166*f**2 + 11*f - 677. Let o(k) = 113*k**2 - 7*k + 452. Let c(d) = 5*n(d) + 7*o(d). Differentiate c(m) wrt m.\nAnswer: -78*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -21?\nAnswer: 13\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008240270 to the power of 1\/2, to the nearest integer?\nAnswer: 31753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, e: 15}. What is prob of sequence eexx?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 2304?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6491 is divided by 171?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -504, 3, -2, 0 in descending order.\nAnswer: 3, 0, -2, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1505, -3, 1, -6293 in descending order.\nAnswer: 1, -3, -1505, -6293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -23 (c) 0.01 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -35 - ((-12 - -25) + -33)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xll when three letters picked without replacement from ltltxxxllxxx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -165 * 0.02.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/27 and ((-627)\/(-297))\/(0 - (1 - 3)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 4:16 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b + 29. Let h be q(-12). Suppose 0 = -2*j + h + 23. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 42 + 42)*(-q + q**2 + q) + 3*q**3 - 2*q**3 - 3*q**3 + (-2*q + 2*q + 3*q**2)*(q + 10*q - 4*q) + 5*q**3 - 4*q**3 + 0*q**3.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 9 + (0 - 1). Suppose u + m = -u. Which is smaller: -7 or u?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26197 - -26195 - (-2 - (0 + -12 + -1))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -5. Let v = 5 - a. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/7, -0.17, 8278, -3\/4 in descending order.\nAnswer: 8278, 0, -1\/7, -0.17, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 - 238*z - 6415. Give i(-103).\nAnswer: -3119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 1. Let p be 20\/(-6) + i\/6. Let a be 7\/(-4) + (-3)\/p. Which is smaller: a or 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16418453 and 7209?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -2*w**3\/3 - 8*w. Let c(i) = 8*i. Give m(c(r)).\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5529931477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 + 0)*(0 + 4 - 2) - 1 + 1 + 1 + (2 + 3 - 3)*(5 + 10 - 4))*(2*k - k + k) to the form h*k + l and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 32\/144*14*3*618\/9373\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37520 = 41*m - 3152. What is the remainder when m is divided by 142?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -15*j. Let u(s) = 43*s + 4. Determine u(z(h)).\nAnswer: -645*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4 + 1. Let k be (-5)\/11 - (-3)\/15*o. Which is the nearest to 0? (a) k (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413134230 (base 5) in base 9?\nAnswer: 3160403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120352 (base 7) in base 15?\nAnswer: 2b4b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 14*y - 36 = 0. Let f(t) = -t**3 - 54*t**2 - 51*t + 110. Let u be f(-53). Solve y = -h + 3*c, 3*h - c = -u*c + 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + -35. Let n = d - 29. Let t = -39 - -39.3. What is the nearest to -5 in t, n, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:04 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) -25 (b) 0.2 (c) 3\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022130195 rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 342 divided by 114\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 - (-14 + 1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 31. Let q be 15\/(-3)*(h + 3). Let b be (-6)\/8 - q\/20. Solve b = 2*a - 5*l + 7, 2*a + 3*l + 2 - 3 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*b*y**2 - b*y - 1029*b - y**2 + 13*y - 278 wrt b.\nAnswer: 11*y**2 - y - 1029","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.60053 millennia in years?\nAnswer: 85600.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 18*i**2 + 4*i - 77. What is q(18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 230 + -223. Let k(f) = 22*f - 43. Is k(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23\/156 + 1\/52. Let u = -28 - -29. Which is the biggest value? (a) v (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*160789796.\nAnswer: 48236938.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/5 of a century?\nAnswer: 5520","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert 234240 (base 5) to base 10.\nAnswer: 8695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.719, 125, -0.02?\nAnswer: 0.719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**4 + 87021*i**3 - 1131648*i**2 + 3830544*i - 2785920 = 0.\nAnswer: -29020, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 28 - 49 + 25*a + 2*a**2 + 22 in the form g*a**2 + n*a + k and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4868571, 9737144, 14605717?\nAnswer: 19474290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(325) + 5)**2 + -1*(1 + sqrt(325)).\nAnswer: 45*sqrt(13) + 349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1630574027.\nAnswer: 367, 2039, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 35 = 2*j + 5*v, -5*j + 40 = 5*v. What is the second derivative of p - 2*p**5 - 6*p**j + 7*p**5 wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6962, 5, 2, -4 in descending order.\nAnswer: 6962, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 3*s = 13*u - 637, 0 = -2*u + 5*s + 270. Suppose 18*y - 43*y = -u. Solve y*r = 1 + 24 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -977, -955, -931, -905?\n\"Answer: y**2 + 19*y - 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -27.5. What is the third biggest value in -2\/15, n, 8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*k = -22, 10 = -2*r + 3*r + k. What is the greatest common factor of r and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2*o = -108, 380405*o - 286 = w + 380400*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1\/4 (c) -11 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574992341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -21. Suppose p - u = 3, -2 = 2*p + 4*u - h. Suppose 0 = -p*z - 6, -3*z - 59 = -3*t + z. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -25*v - 527. List the prime factors of y(-61).\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 1\/5, -2\/11 in increasing order.\nAnswer: -2, -2\/11, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 9. Let z = g + 13. Solve 2*s**2 - 24*s**4 - 7*s**z + s**2 - 15*s**5 + 3*s**2 + 4*s**3 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -2, -2\/11, -3, -1.343?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 150 from -5.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 3:56 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -544 + 543.999206. What is u rounded to five dps?\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4218292 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, q: 10}. Give prob of picking 1 q and 1 z.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-574)\/10 - 42\/(-105). Let o = 22\/7 + -1649\/28. Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -s + 2*s, 0 = -s - 3*w + 9. Suppose s = d - 16 + 11. Is (-106)\/(12\/4 - d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*w**2 + 2 - 22*w**2 + 11*w + 7*w**2 to the form g*w + z*w**2 + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002126581 rounded to 6 decimal places?\nAnswer: -0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**4\/f)**38)**(-24) assuming f is positive.\nAnswer: f**(-2736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*z + 21 - 8, -4*j = -4*z - 8. Let l be 6\/(-9) - (-31)\/42. Which is the smallest value? (a) l (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10535428529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 4*t + 161. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59504 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -107600 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -555*b**3*z**2 - 1796*b**3 + 1339*b**2*z**2 + 348*z wrt b.\nAnswer: -3330*z**2 - 10776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 + 4671.1?\nAnswer: 4383.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4922973 is divided by 230?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 8*q**2 + 7*q + 3. Let n be d(7). Solve -n*p = -p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104145 and 5710485?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410410 and 9240.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33231113 - -10?\nAnswer: -33231103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4236?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4 + 1.35. Which is the nearest to 0.1? (a) s (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*z = 75*z - 40. Let m(h) = 4 + 18 + 0 + 27*h. Is 14 a factor of m(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8 + -17176.503?\nAnswer: -17184.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1233491.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*a**4 + 6*a**4 - 2*a**4 + 8 + 5 wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 5*m**2 - 10*m - 12. Is 20 a factor of c(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*k - 744 = 0, -732 = 4*l - 3*k + 8*k. Let f = -184 - l. Solve 2*c - 6 = -f*m, 3*c = -c + 5*m - 40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77 - 13*j + 7*j - 17*j + 31*j to the form c*j + x and give x.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*k + 4*o, -4*k + o + 1850 = 1883 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 4:44 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42462.\nAnswer: 2, 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 10. Let n be 10\/(-4) + (-2)\/4. What are the prime factors of (2 - p)\/(6\/n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 213 - -1522. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**4 - 410*b**3 + 34200*b**2 - 718390*b + 4767005 = 0.\nAnswer: -139, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q + 12 = 144 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 212520640063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2271 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/45 and 61\/139050.\nAnswer: 139050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39729 divided by -95.\nAnswer: -2091\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d**3 - 15*d + 19*d**3 - 35*d**3 to f*d**2 + s + m*d**3 + u*d and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 278531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -5, -1, -0.1, -4 in ascending order.\nAnswer: -6, -5, -4, -1, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 2*o - 3. Let a be z(-3). Suppose -x - 3*x - 32 = a. Let q = 37 + x. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1511651.281 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -1, -1\/7, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/((-17625)\/(-180)))\/((-3)\/(-65)*1).\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 639*i - 634*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -9 + 0*x**2 + 0*x + 1\/3*x**3. Let g(s) = 11*s**2. Determine g(t(n)).\nAnswer: 11*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2105, -2094, -2075, -2048, -2013, -1970, -1919?\n\"Answer: 4*b**2 - b - 2108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -663430, -1326862, -1990294, -2653726, -3317158, -3980590?\nAnswer: -4644022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + ((-2*sqrt(136) + sqrt(136))*3)\/sqrt(8)))**2.\nAnswer: -648*sqrt(17) + 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2\/4 + 189*v\/2 + 11907\/4 = 0. Calculate v.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2529.9998859 + -2530. What is f rounded to 6 dps?\nAnswer: -0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141 + 145. Let z be (2 + (1 - c))\/((-1)\/2). Factor 0*x - 1\/3*x**z + 0 - 1\/3*x**4 + 2\/3*x**3.\nAnswer: -x**2*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000549 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5)\/(((-82)\/(-574))\/(10\/21))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61562206 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(288)*-2 + 5)**2 + (sqrt(288) + (sqrt(288) - 2*sqrt(288)) + sqrt(288) + -2)**2 + 3 + 5).\nAnswer: -1728*sqrt(2) + 8862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 2:57 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(19050\/(-889))*5\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8 + 276933\/(-36). Let y = -7672 - n. Find the common denominator of (-6)\/(-10) + 2325\/250 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u**3 - 22*u**2 + 70*u - 440468?\nAnswer: 6*u**2 - 44*u + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 5.141538\nAnswer: 0.5141538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.74 take away 81017304503?\nAnswer: -81017304503.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29135\/186849 - -7\/3194. Find the common denominator of n and 31\/156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 1 + 7 = 4*q, 2*c - 4*q = -12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**5\/60 + 7*b**4\/24 + 31*b**3\/6 - 140*b**2 + 3*b. Give u(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48818 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 42*s + 413. Let x be u(12). Calculate the greatest common divisor of x and 3537.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 525720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2925663*u - 8776981. Determine z(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.127422 millennia to months.\nAnswer: 97529.064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -239, -467, -699, -935?\nAnswer: -1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 - d)*(22 + 19 - 6) + d - d + 8*d)*(-d + 4*d - d) as p*d + n + u*d**2 and give u.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 8 = -2*c + 2, -4*c = -3*x + 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 11*n + 6. Let f be i(-11). Solve y - 25 = f*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18459.561 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 24*p**3 - 8*p**2 - 31*p - 8. Let d(m) = 16*m**3 - 5*m**2 - 20*m - 5. Give -8*d(f) + 5*g(f).\nAnswer: -8*f**3 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4676989 - 89970 - 619099 = 132*x. What are the prime factors of x?\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 750 + -745. Solve l*r + 8 = 13*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58465*g*j**3*o**2 - 4*g*j**2*o - 93*j**3 - 30*j**2*o wrt o.\nAnswer: 116930*g*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + 2*o**4 + 3*o**4 + (-4*o - o**3 + 4*o)*(-7*o + 4*o + 2*o) + (-13 + 221*o - 221*o + 2*o**2)*(-o + 2*o**2 + o).\nAnswer: 7*o**4 - 26*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 80.2603nm?\nAnswer: 0.00000802603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 60\/(-616)*18\/(-45). Sort 4\/3, 10, x in decreasing order.\nAnswer: 10, 4\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.4125895 to 3 dps.\nAnswer: 6.413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -78*l. Let r(p) = p - 57. Determine f(r(h)).\nAnswer: -78*h + 4446","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*j**2 - 177*j**2 - 182*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f + 2. Let s(j) be the first derivative of -1\/4*j**4 + 5\/3*j**3 - 13 - 3*j**2 + 3*j. Let l be s(3). What is x(l)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30312918359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15694715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 309588 divided by -2?\nAnswer: -154794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -336*-21416\nAnswer: 7195776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63505919, -127011846, -190517783, -254023736, -317529711, -381035714, -444541751?\nAnswer: -508047828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.191609 centimeters to millimeters.\nAnswer: 1.91609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = 8. Suppose -4*q - 21 = 2*f - 3*f, 2*q + g*f + 7 = 0. Suppose 0 = -3*m + 3*b - 24, 0 = 5*m + 5*b - 2*b + 16. Is m greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**3 - 7*m + 1. Let r(z) = -3*z**3 - 6*z**2 + 5*z - 1. Let v(i) = -i**2. Let c(w) = r(w) - 6*v(w). Let l be 0 + 1 + 4\/1. Give l*j(q) + 7*c(q).\nAnswer: -q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*(0 + -1*sqrt(19) - (-2*sqrt(19) + -3)))**2.\nAnswer: 24*sqrt(19) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 15*j - 30. Let u be o(17). Suppose -5*z + 5478 = u*s, 3*s + 0 - 6 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**2 + 5*h**2 - h**2 + (2*h + 4*h - 3*h)*(7*h - 9*h + 34*h) - 2*h**2 - 2*h**2 + 0*h**2.\nAnswer: 91*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 7, 3, -6\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8190 and 30030?\nAnswer: 90090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 149274 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5b5a2 + -bf?\nAnswer: 5b4e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55381 is divided by 7910?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 616 and 836?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 + 0.73.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 460365 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h + 51. Let q be p(11). Suppose 9*i = q + 254. Calculate the remainder when i is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2103 - 3?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*f, -f + 2*f - 7 = -4*n. Calculate the remainder when n is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**6\/720 - t**5\/120 + t**4\/72 - 12*t**2. Factor d(m).\nAnswer: m*(m - 2)*(m - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3426, 3521, 3614, 3705, 3794, 3881, 3966?\n\"Answer: -l**2 + 98*l + 3329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.71, 2, 32, 17.\nAnswer: -0.5, 0.71, 2, 17, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*r + 14*r - 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 13. Suppose -50 = 124*x - 134*x. Let 12*v**3 + v**5 - 24*v + 28*v**2 - 12*v**4 + 2*v**x - p*v**5 + 6*v**5 = 0. What is v?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -1.1. Let o = -0.22 - 0.08. Let l = o + n. What is the closest to 0 in -5\/4, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 373*c**2*r**2*s + 61*c**2*r*s**2 + 29*c*r**2 + 11*c*r*s + 9*r**2*s**2 - r*s**2 wrt c?\nAnswer: 746*r**2*s + 122*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -48 and 437?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:29 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/3018 + -10231\/10060. Calculate the common denominator of 8\/27 and n.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*f - 2*k, -f + k + 4 + 5 = 0. Solve -s = f*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1*46\/(-23). What is the second smallest value in -2\/5, z, -2\/67?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1. Let w(i) = -13*i - 2. Let a(s) = -s**2 + 11*s - 2. Let j be a(0). Calculate j*w(b) + 4*r(b).\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebnsk. Give prob of picking 1 n and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + j - 27, j + 23 = -5*q. Let d be ((-2960)\/25)\/(-8)*q. Is -73 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510.3832 millennia in decades?\nAnswer: 51038.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**3\/3 + 1. Let f = -115 - -117. Let a(z) = 65*z**2 + 58*z**f - 133*z**2. Determine o(a(g)).\nAnswer: 100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 165812431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 >= 634.4389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 180 in 5, 0.4, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33341 - -53525. What are the prime factors of f?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 2*u + 0*u)*(1 + 6 + 2 + (2 - 2 + 2)*(4 + 2 - 4)) to the form b*u + l and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 19431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20397062141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23.89468 and 0.\nAnswer: -23.89468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.43 (b) -1.1 (c) 241 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8705 + -2716. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/54 and 68\/243.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 41. Let g(i) = 33282*i. Give q(g(d)).\nAnswer: 66564*d + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 316*4\/96 - 1\/6. Suppose -o*i + i + 60 = 0. Solve 0 = -3*n - 3*q + 6, -4 = -5*n + i*q + 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**2 + 1589670*m + 126352535445 = 0.\nAnswer: -158967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {u: 4, x: 5, b: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - k = 2*c - 8, -5*c - 4*k = -26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1126*n - 986 = 1125*n. What are the prime factors of n?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 330348973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32225227493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004627388 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-140)\/(-45))\/(4\/18). Suppose -9*r + m*r = 10. Solve r*b = b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1064 = -12*z. Suppose 5*f + 2*n = -495 - 263, 2*f = 3*n - 288. Which is bigger: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 24. Let y be u(10). Let d be -1 + 4 + 1 - (-4)\/y. Suppose 0 = -a + 47 - 17. What is the greatest common divisor of a and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 15 + 0 = 0. Suppose g + 2*l + 4 = -2, -l = -x*g - 8. Let k = g - -4. Are 3\/2 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83179913 times -8?\nAnswer: 665439304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 12:59 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 66\/(-15) + -1 + (-18)\/30. Let v be -1 - (2 + -1)\/(2\/h). Let l(p) = -694 + v*p + 694. Let c(m) = -m. Give l(c(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + k + 1. Let h(u) = -4*u**2 - 6*u - 6. Let m(a) = -h(a) - 6*s(a). Let n(b) = 40*b**2. Give n(m(v)).\nAnswer: 160*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.953 - 1.053. Which is the closest to 3? (a) -4 (b) 24 (c) -0.5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggt when three letters picked without replacement from {t: 3, g: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**7))\/b)**36\/(b\/b**(-1\/8))**(-35) assuming b is positive.\nAnswer: b**(-1989\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 16 - (-19551)\/7 - 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4520*c**3 - 2548*c**2 + 2*c + 2. Let p(j) = j**3 + 29*j**2 + j + 1. Let y(q) = -2*p(q) + r(q). What is the third derivative of y(s) wrt s?\nAnswer: -27132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408*l**3 - 828*l**3 + 417*l**3 + 3*l.\nAnswer: -3*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 584\/(6\/3) + 16\/(-8). Suppose -f - 110 = -8*q. What is the remainder when q is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3276 by -2.\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/116)\/((-2)\/(-36)*3)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 34, 52, 68?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4452585*v**4 - 142*v**3 + 702*v**2 - 340*v + 4452593*v**4 + 578 + 16 - 902*v = 0. Calculate v.\nAnswer: 3\/4, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 11:27 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-3\/8))\/b**(1\/4))**(-11\/8))**(-1\/19) assuming b is positive.\nAnswer: b**(33\/1216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -4. What is the highest common divisor of k and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*a - 27 = 0, -5*q + 45 = 7*a - 2*a. Let m be (-5)\/(-2 + 2 + -1). Suppose -m*j = -2*j - 39. Solve q + j = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 660 and 2508.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + -1090954?\nAnswer: -1090937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210) - (sqrt(210) - (1*-1*sqrt(210) + sqrt(210)))) + sqrt(210) + sqrt(210))\/sqrt(6))\/(-6*(sqrt(80)*2 - sqrt(80)) + sqrt(80)).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2.04. Let y = -0.16 - -0.02. Let v = f + y. What is the biggest value in 4, v, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/32? (a) 10 (b) -11\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 5494.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t = -5*g - 20, 5*t + 16 = -g. Let b(r) = r + 2. Give b(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1455\/812 - 9\/116. Let m = -282047\/12918 + 2\/6459. What is the common denominator of m and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -116)\/(-4) - (-5 - -1). Find the common denominator of (-55)\/4*6\/t and 29\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-6 - 13 - 6)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(0 - -1)*8\/(-6). Which is the second smallest value? (a) -0.3 (b) 10 (c) 0.2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 q when four letters picked without replacement from {q: 12, y: 3}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000111083 rounded to 6 decimal places?\nAnswer: -0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 149 + 8 + 3\/(-1). What is the highest common factor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 6038*h\/5 - 1208.\nAnswer: 2*(h - 3020)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3897*x = -3683*x + 3852 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1929 - 1928. Which is the nearest to 1? (a) 5 (b) m (c) -0.65 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 1351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2039609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -3. Let i(t) = 5 - 2*t - 1 + d*t. Is i(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 746 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n. Let h(b) = 31*b + 1. Let v(l) = 16*l + 1. Let k(s) = 6*h(s) - 11*v(s). Let z(g) = 1 - 3*g + g + g. Let c(w) = k(w) + 5*z(w). Give j(c(p)).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -64.8 times -25\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h - 6137685 = 21*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 121*w**2 - 1. Let m(x) = -x**2. Calculate m(d(i)).\nAnswer: -14641*i**4 + 242*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -667*u**4*w - 3*u**3*w + 164*w wrt u?\nAnswer: -2668*u**3*w - 9*u**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*r - 680*r**3 + 166*r.\nAnswer: -680*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19172179 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2)*q**(-5)*(q**1)**(3\/2)*(q**(2\/17)*q*q*q*q*q\/(q*(q*q**(4\/7)\/q)\/q*q*q))\/((q**(-1\/5)*q)\/q**(4\/3)) assuming q is positive.\nAnswer: q**(-8641\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*g + 1329701 - 315617. What are the prime factors of g?\nAnswer: 2, 17, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18621\/8 - -2324. Find the common denominator of 53\/3 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(15\/2)*(x**38*x)\/x assuming x is positive.\nAnswer: x**(91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.22 to 0 dps.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 8*w**2 - 2*w - 12. Let m be y(-8). Let k(a) = -a**3 + 6*a**2 - 5*a. Let p be k(m). Suppose 0 = -3*b + p + 60. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2547, -19842, -66435, -156864, -305667, -527382?\nAnswer: -836547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1, -1, -1.2, -1\/3, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 14056*d - 14053*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 3559?\nAnswer: 3552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 301259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a + 1397 = 619 + 658 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908 is divided by 175?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 9 - -6 - (2 + -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 168*v**2 + 2535*v - 189. Determine r(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*k = 5*s - 28, 3*k = -12. Let r(j) = -s*j + 1 + 2 + 0*j - 2. Is r(-3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 174.5115l?\nAnswer: 174511.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*w + 53*w - 10*w**2 + 7*w - 16*w**2 + 0*w**2 + 48*w + 2.\nAnswer: -26*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -23*m + 1. Let n be q(-1). Suppose 5*t - 30 = -5*d, -t = -6*d + d + n. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.164 in 4, 778, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 17*v**4 - 2*v + (v**4 + v**4 - 5*v**4)*(-43 + 132 - 44) + v**4 - 5*v**4 + 2*v**4.\nAnswer: -120*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.24 + -11.76. Let q = n - -9. Sort q, 4\/3, -5 in descending order.\nAnswer: 4\/3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12573 + -7555. Find the first derivative of 23*n**2 + 27*n**2 - o - 20*n**2 + 4910 wrt n.\nAnswer: 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-264)\/1650)\/((-1)\/((-10)\/12)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22721140 to the power of 1\/2, to the nearest integer?\nAnswer: 4767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 760614925 + -539641808. Let l = j - 220972957.000111. Let w = l + -160. What is w rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*o - 2, 5*j = -2*o + 96. Suppose -4*p - 4*x + j = 0, -2*x + 6*x = 12. Let k = 113.5 - 113. What is the third smallest value in 0.4, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.108385 rounded to three decimal places?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7040704 is divided by 782300?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3380.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 280 = 8*s. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 226098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**7\/630 + k**6\/360 - k**5\/30 - 28*k**2. Suppose f(y) = 0. Calculate y.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 4*d - 4*w + 135900, 2*d - w - 67956 = 0. What are the prime factors of d?\nAnswer: 61, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181.08 to the nearest integer.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 7*d - 11. Let p be f(9). Suppose -9 = 4*c + p. Put -5, 2, c in decreasing order.\nAnswer: 2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:20 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 - -150. Let f = -1211 - -1228. What is the remainder when s is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 + 439 = -6*y. Let p(c) = -16*c + 58. What are the prime factors of p(y)?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -8 - (6 - 1)) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3.9 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.983 - -0.017. Let q = 4.97 + 0.03. Which is the closest to o? (a) 4 (b) -0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -11*o**2 - 23*o - 20. Let i be d(-10). Let y = 6262\/7 + i. Calculate the common denominator of y and -20\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + y**2 - y + 1. Let u be j(2). Suppose -2*t = -2, 17 = 2*v - t - 4*t. Let o = -6 + v. Sort u, o, 0 in increasing order.\nAnswer: u, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2 + 50753784*z - 160996661894916 = 0. What is z?\nAnswer: 6344223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 597.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 - 0 - (-2 + 19). Let h(y) be the second derivative of y**3\/2 - 3*y**2 - 4*y. Let c(r) = 2*r - 3. What is j*h(n) + 5*c(n)?\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 9*f**3 + 8*f**2 + 19*f + 10. Let q(c) = -5*c**3 - 4*c**2 - 10*c - 6. Let h(d) = 6*m(d) + 11*q(d). Give h(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47161*k**2*x + 6*k**2 + 627*k + 1 wrt x?\nAnswer: 47161*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 7*g - 6 + 5 - 26*g to the form p*g + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 4:21 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + h = 4*f + 553989, -4*f = -4*h - 2215972. Suppose 0 = -3*o + 2*l + 830994, 2*o + 5*l = 8*l + f. What is o rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -38*s + 21*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 46168?\nAnswer: -46168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -v - 4*y - 13, -15 = 5*y. Let n be (-3 - 2*v)*-1. Let x = 0 - 0. Is x >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a gram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + 4)\/(10\/2875). Let j = -146 - u. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261722.78 rounded to the nearest 100?\nAnswer: 1261700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u. Let g(d) = -193*d + 4. Give g(t(y)).\nAnswer: -965*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/4)\/(-1)*-4. Suppose d*k = -2*n - 0*k + 11, 4*k = 2*n - 4. Suppose 86 + 22 = n*u. Solve -3*l + 12 = u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/2277 and 121\/30.\nAnswer: 22770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -21 - -16 - (-5 - -17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/320*84\/(-63). Let x(q) be the third derivative of 4*q**2 + m*q**6 + 0*q**3 + 0 - 3\/40*q**5 + 0*q - 5\/8*q**4. Factor x(c).\nAnswer: 3*c*(c - 5)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 2. Let j(s) = -s + 3 + 0*s - 1 - 3. Calculate -3*j(g) + v(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29304 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -0.1521, 53 in increasing order.\nAnswer: -0.1521, -0.07, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 10856323 + 12723633 = -12748967. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*d + 10 - 4 - 6.\nAnswer: 31*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 2*y**2 + y. Suppose 4*i - 5 = -13. Let q be d(i). What is the closest to -0.1 in q, -2\/5, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(490))\/sqrt(10))\/(2*sqrt(448) + sqrt(448) - sqrt(448)) - (-4 + (sqrt(112) - sqrt(112)*-2 - sqrt(112)) + 2 + sqrt(7)*-1))**2.\nAnswer: -111*sqrt(7)\/4 + 87271\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 11:43 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1602*i**5 + 32897*i**4 - 429710085*i**2.\nAnswer: 96120*i**2 + 789528*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-30)*(2445\/326)\/((-18)\/28).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 332*g + 700. Does 188 divide s(33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -299517\/580 + -1333\/116. Suppose -4*q = -12, -2*q - 1554 = -3*u + 2*q. Let i = u + c. Find the common denominator of -55\/8 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74005584 rounded to the nearest 10000?\nAnswer: 74010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - ((sqrt(84) - -2*sqrt(84))*6 - sqrt(84)))\/(sqrt(12) + 1*sqrt(300)).\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 0, 145 = 5*b - b + 5*t. Let r(p) = -3*p**2 + 2*p**2 + 8*p**2 + b - 26 - 4*p - p**3. What is the units digit of r(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/260750 and -6\/1225?\nAnswer: 1825250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12\/715 + 59489\/8580. What is the common denominator of 151\/102 and x?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/9)\/((p**(3\/5)*p)\/p*p)*p**(-6)\/(p\/p**(1\/3))*((p\/p**(3\/7))**47)**(-5\/9) assuming p is positive.\nAnswer: p**(-7234\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1998*j - 2419 = -1025*j - 1014*j for j.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -34, -20, 0, 26, 58?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202749.\nAnswer: 3, 19, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*t + 6 = 2*i, -9 = -3*t. Suppose 5*m + 8*j = 4*j + 9, -j - 29 = -5*m. Solve -u - u = -m*r - 28, i*u = -r + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/98)\/((-40506)\/(-2408) + -17)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8*j**2 + 1)*((3*j - 4*j + 3*j)*(4 + 5 - 6) + 0 + 0 + j + 2*j + 4*j - 4*j).\nAnswer: 72*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 27 = 2*d, -2*c = 3*c + 3*d + 22. What is the units digit of (-396)\/(-30) + 1\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 124 + 117 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2608528 is divided by 49217?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6095 = 13*s - 6255. Suppose 10*w = s + 470. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 0 - (1\/8 - 4251\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5853*t - 5268*t - 585*t + 41*t**2.\nAnswer: 41*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1306, -2475, -3478, -4321, -5010, -5551, -5950, -6213?\n\"Answer: -p**3 + 89*p**2 - 1429*p + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 204292518202 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -1924173\nAnswer: -34\/1924173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23865, 88106, 195173, 345066?\n\"Answer: 21413*r**2 + 2*r + 2450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-1 - (1 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -3*k**4\/8 + 6*k**2. Let f(y) = -1 + 1 - y**2 + 0. Give a(f(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 482 = -2*x, -5*s + x - 198 = -1013. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r + 5. Let n(v) = -2*v + 2. Let l(a) = 5*n(a) - 3*u(a). Calculate l(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 15*n + 13. Let w be c(-18). What is the greatest common divisor of 737 and w?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 1 - 6 = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(57\/114)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-54))\/(140\/540)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-183)\/(-3255) - 6\/10. Let b be 24\/((-102)\/(-22) + 1). Let t = o + b. What is the common denominator of -61\/8 and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614218 to the power of 1\/2, to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25795 - 12750. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -8033258\nAnswer: -3\/8033258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3023\/68 + -175\/4. Let z = -2\/51 + l. Let g = 2 - 3. Is z smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079393 is divided by 39976?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12927\/8 + -1620. Suppose -3*s + 3*t = t + 76, -5*t + 106 = -4*s. Calculate the common denominator of s\/(-60) - 241\/(-60) and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + sqrt(768))\/sqrt(3)*3)\/(sqrt(80)\/(sqrt(10)*2 - sqrt(10)) + (sqrt(8)*-2 + sqrt(8))*4).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -156660 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - z - 18, 1030 - 996 = -r - 3*z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, o: 7, b: 5}. Give prob of picking 1 b, 2 e, and 1 o.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + sqrt(176))**2.\nAnswer: -64*sqrt(11) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -440 - -dd6?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 12, 37, 72?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 782 - 781. Which is the closest to 0.2? (a) 4 (b) u (c) 0 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 4*w - 3. Let y be g(-3). Suppose 0 = 2*v + c - 4, 5*v + c = -y*v + 16. Suppose 288 = v*q + 52. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, q: 7, z: 5}. What is prob of picking 2 q?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32288506 bigger than 32288501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 134750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 6 - 37 + 3. Let g = -7752 - -7767. Let l be s(g). Solve -2*n - n + l*f - 6 = 0, n = f - 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17742 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 0*v + 42. Let m(o) = o**2 + 2276*o + 78547. Let l be m(-35). What is the highest common factor of v and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 308 - 1032445?\nAnswer: -1032136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a + 5. Let n be h(8). Let g be (-7)\/(2 + n\/12). Suppose -2*d - 64 = -4*z - 6*d, z - 5*d = g. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 15, 5, -17 in descending order.\nAnswer: 60, 15, 5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, q: 4, x: 2, d: 9}. Give prob of picking 2 d and 1 x.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(4 + -5) - (-6)\/2. What is the third smallest value in 2\/11, -3\/5, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -14\/3, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 26, 3, -31.\nAnswer: -31, -1, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66795 by 15.\nAnswer: -4453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336742, 673486, 1010230, 1346974?\nAnswer: 1683718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eex when three letters picked without replacement from {e: 2, x: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 at least -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 980308861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i - 25*i + 143 = -481 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0262273796 to three decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**3 + y**2 - 1. Let g be d(1). Let i be g\/(-21) + 48\/(-119). Let z be 2\/(-4)*0\/(-5). Is i greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 823*k + 120. Let i(l) = 846867*l + 123450. What is 4*i(q) - 4115*p(q)?\nAnswer: 823*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1012700? (a) 10 (b) -2 (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12131.9 rounded to the nearest 100?\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1248, 1947, 2284, 2259, 1872, 1123?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/5, 0.192, -3, 1, -7, -61?\nAnswer: 0.192","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Suppose -y - 23 = -m*f, f = 5*y + 5*f - 5. Let w be (-6)\/y - 2\/3. What is the second smallest value in 1\/4, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*o + 54053 = 63125 for o.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 17. Suppose -o*m - 25 = 5*u, u + 3*u + 15 = -3*m. Let i be (2\/(-4))\/((-2)\/(-4)). Which is greater: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 13*z - 739. Let m be (-1 - 1) + 66 + -6 + -1. Calculate w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -1103094?\nAnswer: 2\/183849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0078929123 to five decimal places.\nAnswer: 0.00789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3955 + -3939. What is the smallest common multiple of l and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -171610\/3 or -57203?\nAnswer: -171610\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 141*r - 950. Let j be s(7). Let a(l) = l**3 + 10*l**2 - 31*l - 88. Determine a(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 14*h**2 + 18430*h - 2433. Calculate p(-143).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5404450.\nAnswer: 2, 5, 108089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9109335us in nanoseconds?\nAnswer: 910.9335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2 + 6. Let f = p + -1. Put 5, f, -4 in descending order.\nAnswer: 5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.229*-2.\nAnswer: -0.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -822*k - 709*k - 685*k**5 - 29*k wrt k?\nAnswer: -13700*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002002222 (base 3) in base 2?\nAnswer: -101001011100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27579843, -27579853, -27579869, -27579891, -27579919, -27579953?\nAnswer: -27579993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21224 - 63683\/3. Which is the nearest to -2? (a) -2\/5 (b) -2 (c) y (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2070 - 8311 = 191*m + 3118 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 300*h - 2461. Calculate v(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 355 + -357. Let v = -0.06 + -2.94. What is the second biggest value in 2, q, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 28*j - 494. What is o(18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence robr when four letters picked without replacement from {t: 1, q: 1, b: 4, j: 1, o: 3, r: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -9 (c) 20741 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 2*n**3 + n**2 + 2*n.\nAnswer: -n*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -562283 or -562282?\nAnswer: -562282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4810 + 8300 = 23*w. What is the smallest common multiple of 24 and w?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -69815 and 4.\nAnswer: -69811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19051, 19060, 19081, 19120, 19183, 19276, 19405, 19576?\nAnswer: 19795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (82 - 14*f - 82)*(-42*f**2 + 2*f + 43*f**2 + 5*f**3 - 4*f**3) to u + k*f**3 + q*f + j*f**4 + h*f**2 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35\/3? (a) 4\/7 (b) -0.2 (c) -101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2611901434?\nAnswer: 2, 1305950717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7812701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 260*v**4 - 21*v**3 - 1 + v + 2*v + 258*v**4 + 2*v in the form u*v + h*v**2 + d + m*v**3 + a*v**4 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-306))\/(78\/351*((-30)\/8)\/5)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 11. Let a be s(-14). Let z be (-2)\/(((-72)\/6)\/6). Solve -5 = -4*j - 3*f + a, 4*f + z = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -16. Solve 0 = -i*u + 5*u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-13)\/((-273)\/102).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 244 - 19. What is the highest common factor of 100 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*h - i - 66, -4*i = h + 22. Let d(o) = 9*o**2 - 1. Let r(a) be the first derivative of a**3\/3 - 13. Determine h*r(l) + 2*d(l).\nAnswer: -4*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -5*z + 260, -14727*a + 14730*a - 3*z = -174 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43\/2? (a) 5 (b) -0.01 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0, 19525, 1\/6, -5 in ascending order.\nAnswer: -5, -1\/5, 0, 1\/6, 19525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1913 in -1, 0.5, -5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 215*o**2 - 19*o - 59. Is l(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*x + 3 = -9, -35 = 5*t - 4*x. Suppose -6*u = -23 + 5. Let z be -1*(5 + (-12)\/u). Put 4, t, z in ascending order.\nAnswer: t, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 - 31*a + 62. Let z be u(-7). Solve z*g + 70 = 436*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 37, 133, 297, 547, 901, 1377, 1993?\nAnswer: 2767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 711*v**2 - 56169*v + 1479117.\nAnswer: -3*(v - 79)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 42 - 2 - (-4 - -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12207 + -51?\nAnswer: 12136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - ((231 - 255) + -1 + -35).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1099, -5216, -12069, -21652, -33959, -48984?\n\"Answer: j**3 - 1374*j**2 - 2*j + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 9. Let k be q(0). Let i(z) = -8*z + 21 + 0 + 7*z. Let a be i(k). Calculate the highest common factor of 84 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 727164552 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 349139767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(98)) + -2 + sqrt(98) + -3)**2 + -5.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114013332051 + 5?\nAnswer: -114013332042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 897 and 167183484.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001100001010000001111 (base 2) in base 16?\nAnswer: -a6140f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 - p**4 + p**4 - p**5 + 4 - 4 + (p - p + 3*p**5)*(5 - 1 - 6).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, z: 2, s: 6, h: 3, p: 1, n: 2}. What is prob of picking 1 g, 1 s, and 1 n?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/20*((11 - 11) + -2)*0. Are u and -2\/23021 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 2 (b) 301 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.5 take away 95?\nAnswer: -82.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(198) + (sqrt(198) - sqrt(198)*-1))\/sqrt(9))\/sqrt(11))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 48\/5 of a decade?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(5) + sqrt(45))**2 + -4 - (1 + sqrt(80))**2) + -4 - (0 + (sqrt(5)*3*-5)**2 + 1).\nAnswer: -1090 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2082165?\nAnswer: 3, 5, 127, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -16*x - 6. Let p(t) = 517*t + 6200. Let c be p(-12). Let v(m) = -17*m - 5. Determine c*v(a) + 3*g(a).\nAnswer: 20*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-4)\/(-1))*0\/(-49)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.339 + 49.98768178?\nAnswer: 49.64868178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -25*m**3 + 2*m**2 - 1. Let g be x(-1). Suppose 4*a - 62 = -g. What is the smallest common multiple of 7 and a?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 3. Determine r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*g - 118736 = 48*g - 406*g. What is the remainder when g is divided by 116\/3 - 2\/3?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**2 + 1. Let x(r) = -9*r**2 + r - 2. What is 3*x(p) + 5*y(p)?\nAnswer: -2*p**2 + 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 8*x - 2*x)*(-159 + 16 - 177 + (-3 + 0 + 1)*(2 - 4 + 1)) + (x + 3 + 3 - 4)*(3 - 2 + 0) to i*x + w and give i.\nAnswer: -1589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f - 3382*f**2 + 3*f + 4682*f**2 to z*f + t + b*f**2 and give b.\nAnswer: 1300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (231\/9)\/((-5302)\/(-10122))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*a - 3*a + 4*r, r + 1 = 0. Let m = 0 - a. Let c be 2 + -4 - (-4)\/m. Solve -2*u + u = c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-48) + (-146)\/(-16). Let y(r) = 5*r**2 - 1. Let d be y(1). Suppose -w = -5*c + d*p, 3*c - c + 2*p = 0. Solve -2*g = -g + c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let y(r) = -2*r. Let c(t) = x(t) + y(t). Suppose -9*l - 13*l + 616 = 0. Let p(q) = 0*q + l*q**2 - 5*q**2 + 0*q. Calculate p(c(n)).\nAnswer: 23*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38 - (4 + 6 + -20). What is the greatest common divisor of f and 9168?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(1 + 18\/(-21)). Suppose 2*b - 4*a + 10 = z*b, a - 4 = -2*b. Solve -o - b = 4*l - 3, -5*l + 11 = -2*o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838824303.\nAnswer: 3, 279608101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1\/3, -555, -14.16, 0.3 in decreasing order.\nAnswer: 1\/2, 1\/3, 0.3, -14.16, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 546052 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 41\/2 of a minute?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i**2 - 2*i**2 + 4*i**2)*(-2 + 2 - 2) - 4391*i + 4391*i - 9032*i**2 as b*i + j*i**2 + u and give j.\nAnswer: -9034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107914787 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p**2 - 46527*p + 326007. Determine u(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23932831?\nAnswer: 13, 73, 25219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1\/10 (c) -16172 (d) 2\/13 (e) -2\/45 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -53. Let k = 49 - 29. Suppose -r*q + k = -0*q. What is the remainder when 37 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53 + k + 12 - 2 to g + h*k and give g.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3257 (base 8) to base 2.\nAnswer: -11010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 18*y + 149. Let q be u(-24). Let g(i) = 22*i**3 + 6*i**2 - 7*i + 6. Let p(d) = -15*d**3 - 4*d**2 + 5*d - 4. What is q*g(s) + 7*p(s)?\nAnswer: 5*s**3 + 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*w = 4, -3*w - 2 + 1 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77 or 55639\/8?\nAnswer: 55639\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60488168.\nAnswer: 2, 13, 581617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6103 is divided by 204?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 297673797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-20)*(-10)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {g: 1, d: 4, i: 2, j: 1, u: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 161 = 4*c, -2*c - 3*y = -0*y - 83. Suppose 2*n - 5*d = -1 + c, -n = 5*d + 18. What is the remainder when 95 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + 0*6\/(-30). Suppose -6576033 - 20063967 = z*g. What is g rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**3\/2 - 255*j**2\/2 + 125*j = 0. What is j?\nAnswer: 0, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6095433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 53320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -71041970 + -0.29159?\nAnswer: -71041970.29159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 52*h + 150 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 656346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*6\/39)\/(17\/(204\/24)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1.27, 2\/23, 4\/7, 0.1?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1585923.13 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y - 3. Let w(p) = 2*p + 4. Let m(o) = -3*g(o) - 4*w(o). Let h = -6 + 21. Suppose 6*x - h = 3*x. Calculate m(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - g - 4)*(4 + 3*g**2 - 4)*(-1073*g + 2 - 1103*g + 2194*g).\nAnswer: -54*g**4 - 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 37.2?\nAnswer: -14.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.4 + 23.4. What is the closest to 2\/3 in -3, o, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101010111100001111 (base 2) to base 9.\nAnswer: 3254746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.3 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -1\/4, -2\/7, 103?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*((o**(-4\/17)\/o)\/o)\/o))\/o*o*o)\/o)\/o*o*o*o**(-21) assuming o is positive.\nAnswer: o**(-285\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -10) + (-3300)\/418.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13948)\/484 + (-1600)\/(-880)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 40 - 313. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.38 - -1.62. What is the nearest to 1 in 3\/7, u, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/11 (b) -874 (c) 117.4 (d) -1.3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 2:59 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -45*v**2 + 49*v**2 + 0 - v**3 - 3 - 4*v + 5*v. Calculate i(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*v - 12. Suppose -4*x + 4 = -v. Solve -8 + 0 = -x*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v - v + 2*v + (v - 2*v + 3*v)*(-1 - 3 + 5) + 0*v - 2*v + v + 14*v - 29*v + 42*v.\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84115 is divided by 55.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45411321 (base 8) to base 12.\nAnswer: 3363815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/3*6*(-2)\/(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 988714727 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3799 + 3801. Let g = 0 + -0.1. Which is the third biggest value? (a) -3 (b) 6 (c) w (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 568705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21911 + 21912. Let i(w) = 20*w**2 - w + 2. Give i(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123 * -2.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10643.7 + -10644. What is the third biggest value in w, 23, 11\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 29. Let q be j(19). Suppose 262 = -q*g - 350. Let i = g + 76. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-13))**(-4\/13))**45)**(-33))**(2\/19) assuming q is positive.\nAnswer: q**(-142560\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 17*a**3 + 12*a**4 + 6*a**5 + 11*a**3 - 2*a**5 + 20*a**4 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -33, 1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259921915 a multiple of 3330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**3 - 5246*d + 126*d - 256*d**2 + 59185818 - 59218586 = 0.\nAnswer: -32, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 11\/6, 3, 0.3, 0.06, 2.8?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*sqrt(12)*2)\/(-1*sqrt(24)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**2 + 3*m - 52*m**2 + 67*m**2 - m**2 as q + p*m**2 + b*m and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24803381 is divided by 326.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1560668535 to the power of 1\/2, to the nearest integer?\nAnswer: 39505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - -0.02. Let d = 0.01 - k. Let b = -0.51 + d. Do 0 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665437529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13689097 is divided by 386?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**3 - 2*t**3 + t**3)*(-4 + 4 + t) + (t - t + 3*t**4)*(1 - 1 - 2) + 4*t - 4*t - 3*t**4.\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 14035?\nAnswer: 14035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006989194 rounded to 6 dps?\nAnswer: 0.000699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 395812 = 395951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:07 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-291*d**5 + 289*d**5 - d**2 - 3*d**2)*(2 - 6 + 1) + (2 + d - 2)*(2*d - 7*d**4 - 2*d) + 0*d**5 - 3*d**5 + d**5.\nAnswer: -3*d**5 + 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/32 and 37\/2048.\nAnswer: 2048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -q - 107, 0 = -3*f + 31007*q - 31009*q - 67 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 16) in base 4?\nAnswer: -1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -831199 and -6.9?\nAnswer: 5735273.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (810 + 761 - 1538 + 8*j)*(-j**2 + j - j).\nAnswer: -8*j**3 - 33*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*k + 167*k + 5 = 79*k. Which is the closest to -0.17? (a) -1\/5 (b) 2 (c) -0.05 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -208, 0.6, 4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1516821040?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 3*b + w, -107*w = -2*b - 111*w - 34 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x - 255 = -73*x. Let w be 55\/(-22)*((-7)\/5 + -1). Calculate the greatest common factor of x and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4 + 6. Let i = 456 + -456. Solve i = m*v + 3*v + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 2*m - 6. Let f be x(-6). Let o be 20\/(-8)*f\/25. Let s be (0 + o + -3)*1. Solve 8 = -4*h - s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j = w - 2, w = 2*j + 2. Put -0.4, j, 5, -4 in ascending order.\nAnswer: -4, -0.4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - m = 7, 0 = 5*m - 12 - 13. Let n be (-9)\/(-60) - 9\/h. Let t be ((-12)\/(-15) - 1)*2. What is the nearest to -2 in 1, t, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9845.7 greater than or equal to 448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11018 divided by -1747\nAnswer: 11018\/1747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - s**2. Let f be k(1). Suppose 11*x - 6*x = f. Let r = -201\/250 + 1\/250. Which is greater: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence beb when three letters picked without replacement from {b: 2, e: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390050 and 54?\nAnswer: 10531350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 8*d**2 - 31*d - 11. Let r be b(11). Suppose r*m - 124 = 9*m. What is the remainder when m is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20739 + -10070. Does 45 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/(-52)*12\/(-10))\/(-2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3452.05185 + -0.05185. Let i = l - 3436.63. What is i rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -472 and -477 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 22*g = -56 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4401*p**2 - 2227*p**2 - 2935*p**2 - 857*p wrt p?\nAnswer: -1522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -3\/10 (b) -0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 24 + 453*m + 47 in the form t*m + f and give t.\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 669 divide 221699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n = -2*z + 170, 4*n + 195 = 3*z - 22 for z.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i*i**(1\/6))*i))\/i)\/i*i)\/(i*i**(-9))*(i**(-3)*i)\/i*i**(6\/7) assuming i is positive.\nAnswer: i**(211\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-48)\/(-10))\/(17\/((-255)\/(-6))). Solve -4*v = -5*o + d, 5*o - 5*v - 15 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -5*f + 222. List the prime factors of f.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from {b: 1, e: 1, r: 1, p: 8, x: 6}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w - 83 = 2381. Solve 0 = 33*a - 76 - w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - y**2 + y + 2. Let q be o(-2). Suppose -n + 3 = 2*m - q*m, -m - 4*n = 6. Suppose 153*v = 159*v - 6. Sort -5, v, m.\nAnswer: -5, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 9*w**2 + 15*w - 1. What is f(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 6. Let m be a(-5). Suppose 2*p + 3*q - 15 - m = 0, p = -2*q + 10. Is 23*4 - (-1 + p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 7:15 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 63*c = 207759. Let s = c + -2129. Does 49 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a second in milliseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 506 or 512?\nAnswer: 506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -157*c**6\/120 + c**4\/24 - 3*c**2. Let r be t(-1). Suppose 2*n = 5*n - r. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.78 + -8.78. What is the closest to p in 3, -2, 19\/2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i - 2. Let g be 2\/(1 + -3) + -2. Suppose 3*n = -4*x - 0*n + 3, -x = 5*n - 5. Let w = g + x. Calculate j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 4*w**2 - 2*w - 6. Let t be r(-4). Suppose 4 = 14*f - 38. Which is the second smallest value? (a) -4 (b) f (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 22*x + 53. Suppose 0 = -103*i + 1268 - 3225. What is b(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-244)\/((-3)\/((-66)\/(-4))). Calculate the highest common divisor of c and 488.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 101*c**3. Let i(z) = 99*z**3 + 1. Calculate -2*b(v) + 3*i(v).\nAnswer: 95*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2634 = -3*x, 726 = 2*x + b - 1025. Let l = -615 + x. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1003627 (base 13) to base 4\nAnswer: 102130102033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4115116 minus -0.42?\nAnswer: 4115116.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + -1. Let n be -3 + (-3)\/(-6)*s. Calculate the remainder when 31 is divided by ((-17)\/4)\/(n\/20).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 434780240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.31 and -1\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0756841 centuries in millennia?\nAnswer: 0.00756841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1911 - 1909. Solve 25*z + 102 = a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7034 + 46*g - 3521 - 3513 - 29*g.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 61.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 317 = -65. Let c = 96 - p. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.93 + -17. Let q = i + -0.33. Suppose 0 = -8*z + 4*z + 4. Which is the closest to z? (a) q (b) -4\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1391510 and -71.\nAnswer: 1391439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -607\/4 + 1913\/12. Let a = b + -31\/6. Factor 1\/2*o**2 - a*o + 3.\nAnswer: (o - 3)*(o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -2)\/(1\/(-6)). Let g = q - 12. Let i be ((-8)\/(-20))\/(g\/10). Which is the third smallest value? (a) i (b) 2\/7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 8*p. Suppose 2*u - n + 19 = 0, -47 = -0*u + 4*u - 5*n. Let w be f(u). Suppose -5*k = -x + 3*x - 17, -x + 7 = 2*k. Which is smaller: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001273 rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 166?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002293713 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 1658\/10)*-5. Suppose p + 5*p = s. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -823761.\nAnswer: 2\/823761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eae when three letters picked without replacement from eeeeaaeeeeeaeee?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (73 + 249 + 95)*(2*x - 5*x + 2*x)*(3 + 0 - 4) as p*x + s and give p.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4490371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.08934 + 0.08934. Which is the biggest value? (a) -19 (b) -3\/2 (c) 2\/15 (d) -5 (e) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((-13 - (-1 - 11)) + -3 + -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2. Let u(d) = 116*d. Calculate u(m(n)).\nAnswer: 348*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 13. Let z(w) = w + 14. Let t(a) = -4*i(a) + 3*z(a). Let b be t(8). Solve 3*l - q - q = 2, -b = l + 3*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7636446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*w = -176*w - 72. Let g(x) = -x**3 - 5*x**2 + 3*x - 1. Calculate g(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -61?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 - 36 - 24 + 184*f**2 in the form q*f**2 + v*f + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1556 or 174?\nAnswer: 0.1556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(0 + -2279994 - 2). Suppose r - 3*r = 4, -4*r = 4*p - i. What is p rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36, 78, 144, 246, 396, 606?\n\"Answer: 2*z**3 + 28*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99)*1 + sqrt(99) - sqrt(99)) - sqrt(99))*3 + sqrt(99))\/(sqrt(1296)*3))**2 + 1.\nAnswer: 335\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*a**3 - 31672*a**2 - 31354*a - 228 = 0.\nAnswer: -57, -1, -2\/273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 1:24 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*z - 29*z - 26*z**3 + 61*z**3 - 30*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = t + 21, 2*h - 6 = 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 9. Let t be b(-4). Let g(l) = 2*l - 5. Determine g(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myc when three letters picked without replacement from {k: 5, i: 1, m: 4, q: 3, c: 1, y: 4}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggmgmgggmg. What is prob of sequence mm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1\/(a\/(((a**(2\/29)*a)\/a)\/a*a)))**2)**(-28))**(-36) assuming a is positive.\nAnswer: a**(4032\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 43, 5, 4 in ascending order.\nAnswer: -4, 4, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**6\/180 - m**5\/80 + m**4\/48 + m**3\/3 + 4*m. Let q(t) be the second derivative of a(t). Factor q(f).\nAnswer: -(f + 1)*(4*f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -430.18 - -430.17999943169. What is n rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/959 - 1944\/12467. Which is the fourth biggest value? (a) -3 (b) -0.08 (c) i (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 762 and 58.\nAnswer: 22098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5 - 8 = -5*y, -r + 24 = 4*y. Let c be 444\/(3\/(-1))*-1. Let o = c + -1777\/12. What is the third biggest value in o, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4, -0.07, -2\/7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 0*g - 3*g + 2*g - 1. Let r = 115 + -107. Let u(z) = 0*z**2 + 8 + 8*z + z**2 - 2*z**2 + 3*z**2. Calculate r*s(n) + u(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -9 - 3)\/(1\/65). Let i = -62 + l. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 409566*m**2 - 20979297072*m - 1152622734560.\nAnswer: -2*(m + 55)*(m + 102364)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -152*c. Let q(f) = -6*f. Give s(q(x)).\nAnswer: 912*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -0.053?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-14)\/(-2))\/(-2). Let k = c - -3. Suppose 0 = -3*p - 2*u + 40, 4*u - u + 18 = 2*p. Calculate the greatest common factor of k and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n**3 - 10*n**2 - 10*n + 7. Let w(g) = 6*g**3 + 7*g**2 + 7*g - 5. What is -5*r(i) - 7*w(i)?\nAnswer: 3*i**3 + i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-127)\/(39116\/264))\/(1050\/(-98))*2\/(-4).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + -2 + ((sqrt(11) + -1)*-2 - ((sqrt(165)\/sqrt(5))\/sqrt(3))**2) + 3 + 5.\nAnswer: -2*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -596 = -5*y - 4*u, -4*y + 477 = 4*u - u. Suppose -11*m + y + 1 = 0. Is 10 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (0 - -1)) + (-6 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 5, -2, -0.3, 0.48?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsdhdhhhtoohhsshhsh. Give prob of sequence tso.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-128 - (106 - 205)) + (0 - -26)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z - 53. Let j be m(-5). Which is the closest to -10? (a) 5\/2 (b) j (c) -0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-23)\/(-6) + (-6)\/(-36). Let c be (-2)\/a - (2 + -1). Which is greater: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 15 = 0, 4 = -3*t + 4*x + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**5 + 70*h**4 - 114*h**3 - 630*h**2 + 1188*h = 0?\nAnswer: -3, 0, 2, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 h when three letters picked without replacement from rzhr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1451 is divided by 232.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1136 rounded to 3 dps?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 220\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 16 = 0, 0 = -2*q + 3*y - 5*y + 18. Let n be (q*3)\/((-8 - -7)*-1). Solve -3*f = l - 4*l + n, 5*l - 2*f = 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-2\/31)*n**1 assuming n is positive.\nAnswer: n**(60\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - 0 - ((133 - 37) + -105).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/4))\/(l*l\/(((l\/l**(-11))\/l)\/l)*l)*(l\/(l*l*l*l*l*(l\/l**15*l)\/l*l*l))\/(l*l**(-19)) assuming l is positive.\nAnswer: l**(137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/434 and 133\/186.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-12 - -4) - -3 - 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432b (base 16) to base 13.\nAnswer: 7a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.23938 millennia in decades?\nAnswer: 5923.938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 923, 920, 917, 914, 911?\n\"Answer: -3*d + 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 98 + 28. Are 23 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/6 and 18\/(-6) - 89\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {r: 3, k: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 473.4 - 268. Let i = -186 + z. Let j = 24 - i. What is j rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37\/12 - 17\/6. Let a(w) be the second derivative of j*w**4 - 5*w - 3\/20*w**5 + 0 + 0*w**2 + 0*w**3. Find q such that a(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y + 739920. Let p = -304980 + y. What is p rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 551*z = 556*z. Sort 4, z, 2, 0.03 in decreasing order.\nAnswer: 4, 2, 0.03, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -226481.\nAnswer: 14\/226481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -21\/5*q - 18 + 3\/5*q**2 = 0.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 437*f**2*g**4 - 917*f**2 with respect to g.\nAnswer: 1748*f**2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-350)\/(-55)) + 1446\/3615\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2 + 143\/(-26) + 10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -5*o + 2 + 9\/2*o**2. Is q(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 411*h + 408*h - 6, 0 = -10*v + 3*h - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09990966964 rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from taatjjjaajeatja?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 46. Let a(k) = -k**2 + 6*k + 24. Let t be a(h). Suppose 2*n - 20 - t = 0. What is the least common multiple of 22 and n?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7639*n**4 - n**2 - 51*n - 107*n + 3*n**2 + 835*n**4 wrt n?\nAnswer: -81648*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from yttty?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 divided by -149?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -584, -3, 6, -2, 5, -5 in decreasing order.\nAnswer: 6, 5, -2, -3, -5, -584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (14\/6)\/(2\/12) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196584085 by -70435.\nAnswer: 2791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -411.806 - -411. Let k = t - -0.406. Sort 0.1, k, -0.1 in increasing order.\nAnswer: k, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c = -647 + 49 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, x: 2}. Give prob of picking 1 x and 2 g.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1908 = -139*p + 121*p. Suppose -3*z + 0*f + 222 = f, -5*f = 2*z - 135. Let c = p - z. Solve -5*n = -c + 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5\/6 - 179*w**4\/6 + 8611*w**3\/6 - 53669*w**2\/6 + 41108*w\/3 - 18490\/3 = 0 for w.\nAnswer: 1, 5, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*((0*l + l + l)*(l - 2*l + 3*l) - 2*l**2 + 5 - 6 - 2) + 2*l**2 + 0 + 0.\nAnswer: -4*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (87*j - 43*j - 24 - 43*j)*(2 - 60*j**2 + 9*j**2 - 2*j - 43*j**2) as m*j**3 + b*j + o + g*j**2 and give g.\nAnswer: 2254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 2. Let w(r) = -r**2 + 4*r + 8. Let q(g) = -w(g) + 4*y(g). Let h = -5 - -9. Let n(s) = -4*s**2 + s**2 + h*s**2. What is q(n(x))?\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 283 + 283 + 5*y**3 to the form t + m*y**2 + q*y**3 + k*y and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 324 + -320. Put 0, -4, -2\/13, a in decreasing order.\nAnswer: a, 0, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3340600 and 4593325.\nAnswer: 36746600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 15*k + 26. Calculate d(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 22718937.\nAnswer: 1\/7572979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h = -33. Let r(s) = -15*s**2 + h*s**2 - 12*s**2. Let w(x) = 10*x. Let t(p) = p. Let b(l) = 22*t(l) - 2*w(l). Determine r(b(f)).\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2555918, 5111918, 7667918?\n\"Answer: 2556000*d - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 18 = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2*n - 4 = 0, -4 = -v + n - 6*n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 695 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-4\/3))\/u)**(-41)*u*u**32*u*u**11\/u)**(1\/2) assuming u is positive.\nAnswer: u**(148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32438 take away -32577.1?\nAnswer: 65015.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.15?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 44.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/45*81\/72?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -11*d**7\/105 + 7*d**5\/30 + 2*d**2. What is the third derivative of a(l) wrt l?\nAnswer: -528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 29*n**2 - 47*n - 73. Is x(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - -57 - -5 - 49?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5136*g + 5145. Calculate p(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 7*s - 2. Let t(r) = -r + 4. Suppose -9 + 17 = -4*g. Let x be t(g). What is n(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10258178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*v**4 - 23*v + 2 - 34*v - 16*v**4 - 39*v**2 + 16*v**2 + v**3 + 20*v**2 to p*v**3 + o*v**2 + b + c*v**4 + k*v and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -8 - 2, -5*t + 20600 = -5*r. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 6*c**5\/7 + 45*c**4\/7 - 363*c**3\/7 + 801*c**2\/7 - 723*c\/7 + 234\/7 = 0.\nAnswer: -13, 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 12*l**2 - 26*l - 119. What is the tens digit of g(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 26*q - 1. Give s(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2200450, 4400912, 6601372, 8801830, 11002286, 13202740?\n\"Answer: -i**2 + 2200465*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3149276.02999993 + 3149276. Let b = -0.5 - -0.53. Let v = s + b. Round v to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, d: 6, p: 4}. What is prob of sequence pppd?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021914 rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 6*m - 11. Let j be v(8). Suppose 2*t - 62 = -2*k, 2*t - t = -j*k + 135. Let w = k - 7. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53243887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d**(-20)\/d)\/d)\/d*d*d**16*d)\/(d*d**(-8))**(10\/7) assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 674661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 74 = 2*i - j, 5*i = 3*j + 147. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rano when four letters picked without replacement from ronaaan?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 - 7*j**2 + 2*j + 1. Let a(q) = -q**3 + 3*q**2 - q - 1. Let v(z) = 11*a(z) + 6*n(z). Let c be v(9). Solve 3*d - c = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 11*n - 40. Let z be (-3)\/(-6)*(2 - 10)*(-957)\/(-348). Calculate d(z).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z**2 - 277*z - 43. Let t be l(-46). Solve -4*w + r = 3, 3*r + 26 = -t*w - r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**2*d*j**4 + b**2 + b*d - 6*d*j - 50*j**5 - 3*j wrt j.\nAnswer: -36*b**2*d*j**2 - 1000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11311.7 rounded to the nearest 10?\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4322*d + 4288*d - 8584*d.\nAnswer: 26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 11*i**2 + 28*i + 26. Let a be u(-13). Let s = -7 + 4. Let t = 0 - s. Solve a = 4*h - 15 + t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 6*v**2 + 7*v - 3. What is the lowest common multiple of 8 and b(5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Let t = -1139 - -170849\/150. Let y = t - 71\/600. Do i and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/1)\/(-2))\/((-2)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*3 - 1*-1. Let n = -27 + 69. Calculate the greatest common divisor of n and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.9 to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -7 + (-4 - -13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 0*i + 25\/6*i**3 + 0 - 166*i**2 - 247\/24*i**4. Differentiate d(x) wrt x.\nAnswer: -247","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3776 + -2204. List the prime factors of x.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -48*g. Let d(n) = 2*n - 179. Give i(d(h)).\nAnswer: -96*h + 8592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Suppose -f*o = 2*o. Suppose o = -u + m - 1, -2*u + 3*m - 8 + 1 = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 8. Let b be z(-5). Which is smaller: b or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 56\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2859 + -1682. Calculate the greatest common divisor of s and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**7\/2520 - p**6\/240 + p**5\/24 - p**4\/4 + 5*p**2. Let v(c) be the second derivative of z(c). Determine v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.047 + -0.043. Let r = d - 0.01. What is the closest to -0.1 in r, 1, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 s when three letters picked without replacement from {s: 3, x: 9}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 644.858\nAnswer: 3869.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1983*z**4 + 6*z**2 - 10*z + 5?\nAnswer: 47592*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 4*p + 1. Let s(w) = 4*w**3 - 8*w**2 - 20*w + 8. Let d(f) = -4*j(f) - s(f). Let d(x) = 0. Calculate x.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*s = -380 + 12 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(-s**4 + 0*s**4 - s**4) - 2*s**4 + 0*s**4 + s**4 + (-2*s**3 + s**3 + 2*s**3)*(-4*s + 0*s + 2*s) - 3*s**4 + 4*s**4 + s**4.\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13496947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 10:34 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11959581.\nAnswer: 3, 113, 35279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 7. Let w be s(-3). Suppose 18 = u + 5*r, 0 = -u + w*r - 9. Suppose x - 8 = -u. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1913 is divided by 101?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 11:00 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 23*f + 56. Does 14 divide t(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/15*(-4)\/10\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1567, -3131, -4705, -6295, -7907, -9547, -11221, -12935?\n\"Answer: -r**3 + r**2 - 1560*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(25803\/18)\/(-47))\/(-1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + i**2 + 2*i - 2. Suppose -4*j = -0*a - 2*a, 5*a = 5*j + 10. Let u be c(j). What are the prime factors of (-4)\/u + (-149)\/(-7)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3, 6, -132, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.92247 rounded to two dps?\nAnswer: -7.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -1474 + 5586. List the prime factors of a.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**3 - 48*f**2 + 4*f**3 + 891137 - 891131 in the form s + n*f**3 + y*f + b*f**2 and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244999 and 49202?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.97902t in kilograms?\nAnswer: 31979.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 20 = c. Let d be ((-3)\/c)\/((-1)\/4). Solve 0 = d*g - 1 - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1555, -2142, -2729, -3316?\nAnswer: -3903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 4. What is the remainder when 63 is divided by b(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10874132 + 5.\nAnswer: -10874127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 236, 493, 852, 1277, 1732, 2181, 2588?\n\"Answer: -6*x**3 + 87*x**2 + 38*x + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2517 - 2506. Solve 6*v - 9*v + i = -4*c, 5*c - v + 11 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*o + 30, -6*h + 5*o + 65 = -2*h. Sort 2, h, 4, -4 in descending order.\nAnswer: h, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 - -0.0867169064171?\nAnswer: 77.0867169064171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1742*y**2. Let q(c) = -370*c**2 - 1. Calculate q(z(p)).\nAnswer: -1122788680*p**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 6 = -3*z. Suppose -4 - z = -3*u + 3*o, 0 = -5*u - 2*o + 24. Let v(n) = -n**3 - 4*n**2 + 4*n - 2. Let q be v(-5). Solve -u*k - q = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33029.13063 to the nearest one thousand.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 2*w**2 + 2*w**4)*(576 - 576 + 178*w).\nAnswer: 356*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -174 - -510. Suppose -4*h - 60 = -y. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 25*a**2 - 102*a + 102. Let c be n(1). Solve 29*s - c*s = 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7\/67?\nAnswer: 7\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259, 518, 765, 994, 1199, 1374, 1513, 1610?\nAnswer: 1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 10*i**2 + 144*i + 372. Determine x(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -154 - -454. Let t = -165 + b. Calculate the highest common factor of t and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -1 - (2 - 0). Let l = -2\/393 + -248\/2751. What is the smallest value in 2\/5, c, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -10 + 4. Let s be -8 - -25 - t\/((-1)\/(-1)). Suppose z = 149 + s. Calculate the greatest common divisor of z and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 54. Let q(m) = -12 + m + 4 - 1 + n*m. Let l(g) = 1. Let s(z) = -2*z + 4. Let h(d) = -l(d) - s(d). Determine 7*h(p) - 4*q(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -2\/5 (c) 28 (d) 0.68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -9, 20 in descending order.\nAnswer: 20, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 0, 0*y - 410 = -2*y + 2*q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p. Let y(t) = -2*t + 2. Let z be y(3). Let g be k(z). Factor -5*u**2 - 7\/3*u**g + 2\/3 + 19\/3*u**3 + 1\/3*u.\nAnswer: -(u - 1)**3*(7*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*u + 6. Let i be (8\/u)\/((-8)\/132). Let w be (12 - -42) + (1 - 0). What is the greatest common factor of w and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 - 5*l**2 + 4*l + 4. Let h(s) = 3 + 15*s**2 + 3*s - 19*s**2 + 0*s**3 - s**3. What is 4*h(j) - 3*y(j)?\nAnswer: 2*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2176)\/2880*(-3)\/(48\/20)*-3?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1191 - -2900. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/10)\/6*1\/(-20)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s - 165. What is p(16)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1280 - -1421. Calculate the remainder when q is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000007506 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 1:02 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/11, -0.9, -3, 144 in ascending order.\nAnswer: -3, -14\/11, -0.9, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*j - 26*j - 33*j - 31*j + 114*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -19*f**3 - 761*f**2 - 35*f + 213. What is q(-40)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329 - 1036 = -25*v - 257 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17505313400 rounded to the nearest 1000000?\nAnswer: -17505000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(-138) + 2\/4\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.01 - 0.01. Let u = 5 - g. Let p = 0.38 + 0.02. Put p, u, 4 in descending order.\nAnswer: 4, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*q = 0. Suppose 2 = u - 2. Suppose q = u*i + 5*t - 0*t - 116, -4*i = 4*t - 112. Calculate the highest common factor of i and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14469 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**2 - 1. Let k be b(2). Let f = k - 5. Let g = -3 + 11. Calculate the least common multiple of f and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywrwybu. What is prob of picking 1 b, 1 y, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 3) + (2 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1372.72 tonnes?\nAnswer: 1372720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, w: 1, d: 4, j: 2, y: 7}. What is prob of picking 1 e, 1 w, and 2 d?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9480 and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/18*(-333)\/(-1369)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.6, 271328, 3, -1\/9 in decreasing order.\nAnswer: 271328, 3.6, 3, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 128 = 4*q. Solve -2*l - q = 9*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -4, -2 in descending order.\nAnswer: -2, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72178 + 18629 = -8*m + 13579. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -867825, -867880, -867935, -867990?\n\"Answer: -55*n - 867770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.1 + -5. Which is the smallest value? (a) 2 (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2*q + 372, 3*j - 4*j = -3*q - 100. Suppose -j = -31*i + 61. Solve i*o = -5*d + d - 10, 4*d + 4*o = -12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 572 + -532. Calculate the remainder when 62 is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 58 + 26)*(0 - 3 + 1)*(2*d - 3*d + 5*d)*(1 + d**2 - 1).\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19215\/(-4575)*360\/308?\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 7 (b) -3 (c) -344\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.00358 and -3551690269.\nAnswer: -3551690268.99642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59992.\nAnswer: 2, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + q**3 + 7*q**3)*(102*q + 1 - 223*q + 102*q).\nAnswer: -95*q**4 + 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmkmkmkmkmmm. What is prob of picking 3 m and 1 k?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1675 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6759*i**2 - i - 2. Let a(k) = 4*k. Give b(a(s)).\nAnswer: 108144*s**2 - 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 122623751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78768 + 141926. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-3)*(-5)\/10. Suppose 2*j - 2*x - 6 = -q*x, 3 = -j + 4*x. Suppose -3*z = -j*z + 58. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from msmssmmmssmmsmmssms.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 55 - -4 - 4 - 4. Find the second derivative of -w*j + 20*j**5 + 14*j**4 + 22*j**5 - 40*j**5 wrt j.\nAnswer: 40*j**3 + 168*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1367684 or -2735369\/2?\nAnswer: -2735369\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*q - 233*q - 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 2:28 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**3 - 4 + 3 + 12 - 4*u**3 + 2*u**2. Let s be 6\/9 + 2\/(-3). Is w(s) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 201 = 675. Does 44 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 13*c**2 - 14*c**2. Let i(l) = -8*l**2. What is i(m(h))?\nAnswer: -72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-b + 4*b + b)*(-4 - 1 + 3) - 5*b + b + 2*b + (-3 + 1 + 0)*(2*b + 3 - 3))*(0 + 1 + 1) as f*b + x and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -20513 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbpb when four letters picked without replacement from {r: 2, b: 2, e: 2, l: 1, g: 4, p: 3}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -144 - -221. Suppose 32 = 5*y + w. Let u(m) = m**3 + 8*m**2 - 11*m - 9. Let l be u(y). Solve 5*t + l = -1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110 + -102 - (0 + 4)) + 2 + -28?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -40, -32, 0.046, 0.1, 1\/6, -0.2?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 10*n**2 - 3*n + 7. Suppose 10*w = 9*w - 7. Let q(r) = -3*r**2 + r - 2. What is w*q(a) - 2*o(a)?\nAnswer: a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.39 and -30452071?\nAnswer: 30452070.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -0.1 (b) 0 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1\/14 (b) -3 (c) -799 (d) 3 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71387 is divided by 151?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -0.9. Let j = 22 - 460\/21. What is the nearest to -0.1 in j, 0.1, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3934151.43 rounded to the nearest one hundred?\nAnswer: -3934200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5249873 to the nearest integer?\nAnswer: 2291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1 + 12 = -3*u, 0 = -w + u + 5. Suppose -2*g = 3*a - 12, -w*g + 2*a = 6*a - 8. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12478245 and 225615.\nAnswer: 162217185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 427614148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c. Let r = c - -3. Suppose -4*t = -r*t - 18. 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: Simplify -2 + (-3*(2 + sqrt(1152) - sqrt(1152)) + 3)**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 470091 and 178767?\nAnswer: 12692457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 - 3 - 2 + 42*v**2 + 7.\nAnswer: 4*v**3 + 42*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 77?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -8.03. Let z be (3 - 2)*(-2)\/(-10). What is the smallest value in -1\/3, p, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 + 55 = 6*m. Let z = -2 - -3. Suppose -o = 2*t - 74 - 35, 0 = t + z. Calculate the remainder when o is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 4*q**2 + 73*q + 129. What is d(12)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8270186, -8270188, -8270190, -8270192, -8270194?\n\"Answer: -2*a - 8270184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209 - -208. Let q = 1.9 - 0.9. Let i = q + -2. Which is the nearest to i? (a) -2\/3 (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24 - (-3)\/9*-6. Is y\/(-55) + (-1791)\/(-15) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**3 - 2*x**3 + 3*x**3)*(2 + 2 - 6) - 23*x**3 - 36 + 36 to the form o + c*x + j*x**2 + p*x**3 and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30042.26 kilometers in millimeters?\nAnswer: 30042260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -939.8083 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 31*t - 5341 + 5242, 5*p = t + 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*u + 97, 0 = 4*h + 5*u + 43 - 182. Let l = 43 - h. Let a(z) = z**2 - 6*z**2 + 2*z**l + 2*z**2. Let p(b) = -5*b. Give a(p(q)).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -29293?\nAnswer: -29295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -1\/3*j**3 - 1\/2*j**2 - 2*j - 7 + 1\/4*j**4. What is n(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**2 - 5 + 54*m + 428*m**3 + 7 - 427*m**3 + (m**3 + 0*m**3 + 0*m**3)*(2 - 2 + 1) - 4 + 4 + m**3.\nAnswer: 3*m**3 - 5*m**2 + 54*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 + 30*y + 8. Is 5 a factor of a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 - 8.560318836237\nAnswer: -9.360318836237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 - 10*r**2 - 7*r - 16. What is the remainder when 36 is divided by p(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 165, 174, 189, 210, 237, 270, 309?\n\"Answer: 3*d**2 + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -471, -372, -183, 96, 465, 924, 1473?\n\"Answer: 45*j**2 - 36*j - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7864.433l to millilitres.\nAnswer: 7864433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10449 - -10446.2. What is the closest to m in 0.2, -3, -43?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 11*i + 120. Let l be d(-11). Let n(j) = 26*j + 1. Calculate n(l).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/7 + 4143*t\/7 + 592 = 0.\nAnswer: -1, 4144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -506.\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -619.\nAnswer: 15\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/429333 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -226912 not equal to -226911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 138034327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1968 and 88?\nAnswer: 21648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 9*z + 45 = 0, -16*x - 25*x = -42*x - 5*z + 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 3*t + 0 + 1\/6*t**3 + 0*t**2. Let y(i) = -7*i. Determine k(y(q)).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1, 3, 4, -46, -5 in ascending order.\nAnswer: -46, -5, -1, 3, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -3, -15, -35, -63, -99?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/7)\/(h**(-4)\/h))**(-1\/59)*(((h\/h**(-4))\/h)\/h*h*h**(-3))**(-1\/15) assuming h is positive.\nAnswer: h**(-998\/6195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 26400586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2575?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*f + 3609988 - 31392388. What is f rounded to the nearest ten thousand?\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsdy when four letters picked without replacement from {y: 1, i: 1, t: 1, d: 1, s: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 2:26 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z - 79 + 235. Let p(x) = 307*x**2 - 13*x - 17. Let w(o) = -77*o**2 + 3*o + 4. Let y(c) = z*w(c) + 6*p(c). Let j(l) = -2*l. What is j(y(i))?\nAnswer: 320*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6 = -n - c, 0 = -n + 5*c - 9. Suppose -a - 2 + n = 0. What are the prime factors of 18 - -4*a\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/494779230 and 101\/300.\nAnswer: 4947792300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10070*j**3 + 18913*j**3 + 13247*j**3.\nAnswer: 42230*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*b + 107 - 35*b - 107.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -24829?\nAnswer: -10\/24829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b + 330. Let l(w) = w + 89. Let q(n) = -4*h(n) + 14*l(n). Determine q(7).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2 - 2*j - 7. Let r(y) = 6 - 7*y**2 + 5*y**2 + 4*y**2 - y + 2*y - 5*y**2. Determine -4*g(z) - 5*r(z).\nAnswer: -z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/227 in 2, 0.2, -5, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -84*q + 49*q - 1 + 3. Suppose 4*y + 1 = b - 6, -4*b - 2*y = 8. Is t(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (208\/(-39))\/(-10*13\/(-390)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 679.4255 years?\nAnswer: 0.6794255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -12 - -10 - 27 - -16\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 663*j - 1293. Is 47 a factor of r(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1 - 41 = 0. What is the units digit of (-7)\/(i\/(-216)) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/4*(1 + 3). Suppose -o + l*d - 7 = 0, -4*o + 30 = 4*d - 14. Suppose s + o*s - 27 = 0. Solve -3*g - 9 = s*p, 2*p + 15 = -2*g - 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfn when three letters picked without replacement from nfnffrfffrllrffrrfn?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/4 (b) -2\/3 (c) -2.932 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20336 + 45332. List the prime factors of y.\nAnswer: 2, 3, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/23419440 and -29\/532260?\nAnswer: 23419440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k**2 - 4618*k**3 + 17*k**2 - 2888*k**3.\nAnswer: -7506*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4203, 5 in descending order.\nAnswer: 7, 5, -4203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-124)\/(48112\/970))\/(3\/((-6)\/215)).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**7\/105 - w**5\/6 - 7*w**2. Find the third derivative of i(g) wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2666.0000004784 - -2666. What is w rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 72\/(-81)*-3*1\/2. Find b such that -8\/9*b**3 - 2\/9 - 2*b**2 - v*b = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47054?\nAnswer: 2, 7, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 8*x + 0)*(37 - 22 - 4340*x - 3974*x - 15 - 535*x) to h + k*x**2 + u*x and give k.\nAnswer: -70792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.5, 220, -26, 5.\nAnswer: -26, 5, 7.5, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1342, -1361, -1380, -1399?\nAnswer: -1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 5*h**2 - 2*h - 7. Let o be z(5). Suppose u + 5*x + 6 = 0, -1967*u - 9 = -1966*u + 4*x. Which is bigger: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176665240.\nAnswer: 2, 5, 751, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 24*y + 27. Let s be n(25). Suppose 6*w = s*w - 2*b + 4, 0 = -w - 2*b + 4. Let v(a) = -3*a + 2. Determine v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, r: 2, g: 4, z: 2}. Give prob of picking 4 g.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {z: 13, k: 5}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*u = -639*u + 323*u + 312 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00026213 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(112\/12))\/((-6)\/24). What is n in 3*n - 9\/7 + f*n**3 - 15\/7*n**2 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 18*v + 89. Let h be o(22). Suppose -4*q + 0 = -20. Solve 9 = q*u - h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbibbbbib. What is prob of picking 3 b?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**2 - 4*k**2 - 3*k**2)*(432 - 39*k - 432).\nAnswer: 39*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 78?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 8*x - x - 3*x + 5*x - 4*x + x + x - x + (0 + 0 - 1)*(-x + 0*x - x))*(x + 2*x + 0*x).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j**3 + 47*j**2 + 442*j - 2828. What is g(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 53*k + 40. Calculate x(52).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + z - 4*z)*(-32 + 32 + 16*z) + 78*z**2 + 2*z**2 + 46*z**2 as g + l*z**2 + m*z and give l.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (-14 + 5 - -7)) + -3 + -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 d when four letters picked without replacement from idiiidii?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20114500 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-18))\/(-2)*(-1)\/(-11). Is 1 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0297 and 3.\nAnswer: -0.0891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/5 + (-18)\/45. Suppose q = -t + 2*v, 2*t - 2*v - 32 = -7*v. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + 2*o**3)*(2*o**2 + o**2 - 4*o**2) - 27*o**2 - 9*o**5 + 27*o**2 + o + 0*o**5 - 2*o**5 + 9*o**5.\nAnswer: -4*o**5 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-490)\/20)\/(((-4)\/4)\/(-14)). Let p = y - -506. Sort p, -3, 2, -4.\nAnswer: -4, -3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 6*u + 59 - 33)*(23 - 4 - 2) to b*u + q and give q.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -7*i - 7*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 89*u - 3710. Determine h(40).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12705 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14*v**3 - 5*v**2 + 5. Let l(p) = 7*p**3 - 3*p**2 + 3. Determine 3*d(x) - 5*l(x).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 1 - 16. Solve -r = -6*r - u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2. Let t(d) = -d**2 - 8027 + 16110 - 8029. Determine s(t(h)).\nAnswer: -5*h**4 + 540*h**2 - 14580","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -289*z**5 - 5463*z**4 + 483*z - 438?\nAnswer: -5780*z**3 - 65556*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m - 16. Let o be l(-9). Suppose -o*y + 216 = -u, -4*u + 2*u + 531 = 5*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 10 - (-17 + 15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 5:50 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (sqrt(300) + -2 - sqrt(300)) + sqrt(300) + sqrt(300)*2*-4 + 2*(-3*sqrt(300)*-1 + 0))**2.\nAnswer: -1854 - 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 4*f + 55, 625*c + 623*c = 4*f + 1247*c + 53 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 29) + -4 + 5 + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335 = -16*k - 511 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.061?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48467063105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 5*o + 4*o)*(2 + o - 2) - o**2 + o**2 + 2*o**2 + (0*o - o + 8*o)*(-1 + 1 - 4*o) - 8*o**2 + 9*o**2 - 2*o**2 - o + 5*o**2 + o.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -167066, -334054, -501000, -667904, -834766, -1001586?\n\"Answer: 21*a**2 - 167051*a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13251755 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 16*y**2 - 11*y + 28. Is 24 a factor of f(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f**2 + 1981*f - 1. Let p be z(283). Let q = 0.02 + 0.38. Let i = q + 0.1. What is the third biggest value in i, p, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 8*i - 10. Let d be t(-6). Suppose d*a = -2*o + 574, 3*o - 126 = a + 735. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26410.42 seconds to microseconds.\nAnswer: 26410420000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + sqrt(19) + sqrt(19) + sqrt(209)\/(sqrt(11)*2 - sqrt(11)) + -3)**2.\nAnswer: -18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, v: 5}. What is prob of sequence fffv?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70120 and 50.\nAnswer: 350600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2532.83112?\nAnswer: -2536.83112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*m**4 - 6*m**3 + 269*m**2 + 7*m - 2 wrt m.\nAnswer: -1632*m - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124 - 95. Calculate the remainder when c is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 3. Let n be c(4). Let w be n\/3 + (-120)\/(-9). Factor 8*z**3 + w*z**3 + 2 - 24*z**2 + 11*z**3.\nAnswer: 2*(2*z - 1)**2*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -65. Calculate the highest common divisor of h and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/((1 - 126\/33) + 3). Let v be (-14)\/x - (-101)\/11. Let z be (-2 + 0 - -2) + 9. Solve -2*j - 5*h + v + z = 0, 4*h - 14 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/14))\/i*(i\/i**(-1\/9))\/i*(i*i\/(i**(-2\/3)\/i))**23*((i**(2\/9)*i)\/(i**(-3\/5)\/i))\/((i**(-3\/5)*i)\/i*i\/(i**(-1\/5)\/i)) assuming i is positive.\nAnswer: i**(3595\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 1. Let m be (-32)\/20*10\/(-4). Suppose 0*q = -m*q - 8. Let v be b(q). Let h(x) = 5*x - 1. What is h(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 83 - 48 + 61 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110007 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54875207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 262876043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2430, 2\/15, -0.197, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6.7904 * -0.07\nAnswer: -0.475328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/212, 0.5, -232 in decreasing order.\nAnswer: 0.5, 3\/212, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 0) + 2*44. Let h = d + -41. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 335175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 206\/(-11021) - 546480\/(-7383)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j + 144 = -9*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*o**3 + 43*o**3 - 92*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49? (a) 0 (b) 4\/9 (c) -0.3 (d) 2\/7 (e) -3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 16*l**2. Let n(w) = -17*w**2. Let h(z) = 6*b(z) + 5*n(z). Let t(c) be the second derivative of 2*c**3\/3 - 31*c. Determine h(t(o)).\nAnswer: 176*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(3\/20)\/v*v*v**(-18\/5))\/(v**3*v**(-43)) assuming v is positive.\nAnswer: v**(771\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/32 - 3\/12. Which is the fourth biggest value? (a) -0.07 (b) -2\/3 (c) x (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 - 371 = -24*r. Calculate the remainder when 99 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*r - 4*r + 3*r as t + h*r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l. Let c(n) = 5308627*n - 8. Give c(d(m)).\nAnswer: -42469016*m - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s = 290032 - 290560 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10335358 is divided by 191?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1)*(-136)\/(-272). Let s be (8\/12)\/(2\/6). Solve l = 2*c + s*c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 2*y**2 + 2*y + 1036. Does 74 divide v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 1. Let w(c) = 5*c**2 - 2*c + 3. Let t(g) = -2*d(g) + w(g). Let h be t(3). Let a(p) = -7 - 2*p**2 + 3*p**2 + h*p - 30*p. What is a(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 248807.7 + 52.3733\nAnswer: 248860.0733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k = 5*d - 20, 3*k + d = 4. Suppose -39*j + 35*j + 84 = k. Let z be (-14223)\/9 - (-7)\/j. Round z to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 7*v. Let q = -760 + 755. Let n(c) = -c**2 + 5*c. Let m(z) = -z - 1. Let b be m(6). Determine b*n(g) + q*r(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 3*z - 2*z + 5, -4*c + 5*z = -9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5\/4 (b) -0.2 (c) 141 (d) -18 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 3 + (23 - 99) - -24?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -346460 and -0.12.\nAnswer: 41575.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 46965?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 2 + 3*a + 2 - 7*a in the form x + y*a**2 + c*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -116, -449, -1010, -1805, -2840, -4121, -5654?\n\"Answer: -r**3 - 108*r**2 - 2*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - k + 18. Calculate r(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1707185 and 0.02534.\nAnswer: 1707185.02534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 68*a + 186. What is g(-13)?\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 217215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 57 - 12*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 208\/32 - 1\/2. Is f at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22973319 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49.84 + 50. Let i be ((-1)\/15)\/((-3)\/(-6)). What is the third biggest value in i, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*y**5 - 2422*y**2 - 2*y**5 + 3*y**5 + 4452*y**2 - 3*y**5 - 2681*y**3 wrt y?\nAnswer: 120*y**2 - 16086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -4, -2\/5, 4, 3\/8, 2\/4863?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.014, 11\/2, 2, 1, 0.2 in decreasing order.\nAnswer: 11\/2, 4, 2, 1, 0.2, -0.014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1883265386 - -14.\nAnswer: 1883265400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.029 - 1.971. Let x = -6.1 + 6. Which is the nearest to -1? (a) -1 (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + q - 2. Suppose -18 = 5*l - 2*t - 3, 3*l + 5*t + 9 = 0. Let w(p) = -3*p**2 - 2*p + 4. Calculate l*w(s) - 5*y(s).\nAnswer: -s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 13*w**2 + 18*w - 10. Let x be (4 - 5)*-6*2. Is 31 a factor of l(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 5 + 5)*(-8*a - 4*a - 3*a)*(-2*a + 1 - 1)*(2 - 3 + 2).\nAnswer: 600*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1265670 divided by -147.\nAnswer: 8610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0458764 and -2.1.\nAnswer: -0.09634044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*l**4\/5 + 156*l**3 - 168*l**2 + 52*l - 24\/5 = 0. What is l?\nAnswer: 2\/11, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3993 - -3992.8. Put 598, -3\/5, c, -0.3, 0.4 in descending order.\nAnswer: 598, 0.4, c, -0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6910 = 1030. List the prime factors of f.\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2516932375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 8 = -6*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -10*n + 21. Solve 0 = 7*z - n*z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -13. Let m(g) = 3*g**2 - 7*g - 7. Let r(j) = -2*j**2 + 4*j + 4. Calculate k*r(s) + 3*m(s).\nAnswer: -s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -85.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 2. Suppose j*r - 3*r = 0. Solve z - 1 + 2 = r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -146*b**3 + b**2 - 12. Let y(j) = -145*j**3 + j**2 + j - 9. Give 3*g(i) - 4*y(i).\nAnswer: 142*i**3 - i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 546?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 45 = v, -2*v - 51 = -4*r - 21. What is the third derivative of -29*h**2 - r*h**2 + 1314*h**6 + 22*h**3 - 1315*h**6 wrt h?\nAnswer: -120*h**3 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ae8bf5 (base 16) in base 5?\nAnswer: -10412022333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4806 and 1180674?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80941 - -489523\/6. Let l = d - 645. Which is bigger: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 2. Let f be m(5). Let k = f - -29. Suppose -g = -29 - k. Is g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2480555?\nAnswer: 5, 7, 11, 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -444 + 579?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 528 and 8217?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12937\/4 - -3209. Let f = 10457\/2 - 3524159\/674. Let z = f + 19137\/8762. What is the common denominator of t and z?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 4*l - 3*o, -o = -3*o - 4. What is the highest common factor of 70 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6 - -3533649425.\nAnswer: 3533649426.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 18612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfseffefyfesfnfsfy. What is prob of sequence syss?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -16129.28001387 and 3.\nAnswer: -16126.28001387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13704 + -5.\nAnswer: 13699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1268*i + 213. Give z(-1).\nAnswer: -1055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h. Let c(i) = -4604 + 2307 + 4544*i**2 + 2297 + 3*i. What is z(c(f))?\nAnswer: 9088*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -896*v**2 + 3445*v**3 + 17459 - 17460 - 253*v**2 wrt v?\nAnswer: 20670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14222918 divided by -25?\nAnswer: 14222918\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 6. Let a(v) = v**2 + 7*v - 30. Let r(k) = a(k) - 3*j(k). Factor r(u).\nAnswer: (u - 2)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 35 = 5*j, 475*g - 5 = 3*j + 473*g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 - 1148*r\/5 - 2288\/5.\nAnswer: -2*(r + 2)*(r + 572)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-18)*(-10053)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2420.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13593 + -13593. Solve -23*l + 64*l - 41 = j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a hour in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*f - 7. Sort 37, f, -5 in descending order.\nAnswer: 37, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*x**5 - 5066*x**3 + 3043636*x wrt x.\nAnswer: -300*x**3 - 30396*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-3 - -4) + 5\/1. Suppose u*m - 4 = -1, -3*l + 2*m = -2935. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -21*n - 93. What is f(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.9 or -0.884?\nAnswer: -0.884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -13 - 7. Let u be (2\/(-3))\/(3\/9). Sort u, v, -3 in ascending order.\nAnswer: v, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2748*w - 3655*w + 8768*w to c + p*w and give p.\nAnswer: 2365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -7, 29, 2, 4.\nAnswer: -13, -7, 2, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4671 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-64))\/(21 - 3306\/152)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9174308?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -233*q - 24. Let c(x) = 79*x + 6. Give -9*c(g) - 2*p(g).\nAnswer: -245*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9))**23*u**(7\/4)*u**10 assuming u is positive.\nAnswer: u**(-781\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1508 - -1658. What is the remainder when g is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apaaaqppqappaaopr. Give prob of sequence ra.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -260.29 - -262.29. Put -0.4, 74, -4, a in decreasing order.\nAnswer: 74, a, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4 = 2*a. Let k be 199 - (0 + a\/(-1)). Suppose -5*y - i + 335 = 0, y - k = -2*y + i. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -555, -517, -481, -453, -439, -445, -477, -541?\n\"Answer: -d**3 + 5*d**2 + 30*d - 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228\/10*(-800)\/(-320) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 278 + -252. Suppose -4*o = k + k - 2, 0 = -5*k + 5*o + 20. Suppose -k*w + 22 = -y. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -548\/215 + -9241\/258. Let i = u + 116\/3. Are i and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**4\/12 + q**3\/3 - 22*q**2. Let p(z) = -3*z - 3. Let y = -41 + 49. Calculate y*k(h) + 5*p(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 27*m + 8. Let p be a(-14). Calculate the remainder when 14 is divided by (-4)\/p + (-228)\/(-44).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 2)*(2*j - 3*j + 3*j) - 1333*j + 636*j + 590*j)*(-j**2 + 0*j + 0*j).\nAnswer: 103*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1111 - 2?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*x - 3 = 53*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 23. Suppose 24*j - 25*j - q = 0. Let a be 80\/(-30)*(-39)\/j. What is a rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 9*c + 56. Let n be x(-13). Factor -20*o - 4*o**2 - 4*o + n*o + 9*o**2.\nAnswer: 5*o*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (588\/(-245))\/((-3282)\/(-3300) - 1) and 935?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 218 + -206. Is 2\/(-8) + 25839\/w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 431921, 431928, 431939, 431954, 431973?\nAnswer: 431996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3180 and 57107500?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110110110100011 + -111101110?\nAnswer: 10110101110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/201728131 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b - 30*b + 4*b)*(-81*b**2 - 141*b**4 + 81*b**2) + 0*b**5 - 4*b**5 + 5*b**5.\nAnswer: 4654*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 83?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*l = 42, -3*b + 5*l + 17 = -5*b. Let m(c) = -17*c**2 + 14*c - 6. Let g(j) = 6*j**2 - 5*j + 2. Give b*g(d) - 4*m(d).\nAnswer: 2*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 a factor of 6661746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 23. Suppose -2*f - 88 = 5*j, -f = -5*j - 60 - 31. Is (-447)\/j*c*(4 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, 4 in ascending order.\nAnswer: -2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((sqrt(88)*-1 - sqrt(88))*-4)\/(sqrt(8) + (sqrt(512) - (1*sqrt(512) - sqrt(512)))) + 0))**2.\nAnswer: 2816\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2) - sqrt(2)) + -4 + sqrt(2) - (sqrt(2) - (sqrt(2)*2 + 3 - sqrt(2)))**2.\nAnswer: -14 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-12) - ((-216)\/(-162) - (-8)\/12)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3668212 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 2*o - 35 = 0, 0 = -5*d + d - 5*o + 45 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-12))\/(-1 - (-278)\/282). Let h = -25 - o. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 110.789 and 257406.7.\nAnswer: 257517.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 44\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-12))\/((-4)\/(-6)). Let z be l\/1 + 2 + 0. Let -2\/5*y - 2\/5*y**2 + z = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 3:19 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 333 and 7881?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 10:01 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1901*r**2 + 590*r.\nAnswer: -3802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.14, 35, 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2793.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3698833.6 and 834464.\nAnswer: -2864369.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*r - 16, -1 + 5 = -3*d - r. Suppose d = -4*g - g + 135. Solve -4*x + 11 - g = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 38*g + 77. Let m be p(37). Let r be 1\/(-15) + -1 + m\/60. Which is smaller: -3\/65 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 18*v - 115. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/18677 and -3\/38?\nAnswer: 37354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 21*c**2 - 107*c - 1161. Calculate b(-19).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 852 - 0?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4760\/(-119)*(2\/(-40))\/(28\/(-350)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -81567*i**2 - 17092 wrt i?\nAnswer: -163134*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 i when three letters picked without replacement from {r: 2, t: 2, i: 11, a: 1}?\nAnswer: 11\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 + -139. Let g be (28\/(-8) + 2)*i. Is (9742 + g + 0)*(-5 - -6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 5*a**2 - 1. Let q be g(-5). Calculate the least common multiple of ((-24)\/(-32))\/(-1*6\/(-8)) and 1\/2*(q + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8738 + 20*t - 9539 + 18276.\nAnswer: 20*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15842612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -34*j**5\/9 - 134*j**4\/9 - 94*j**3\/9 + 2*j**2\/3 = 0.\nAnswer: -3, -1, 0, 1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -249837 divided by 249837\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1001000000?\nAnswer: 1000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1410*y - 10143 = -1417*y. Calculate the least common multiple of 99 and y.\nAnswer: 15939","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*y + 4, -3*y - 1 = -5*q + 6*q. Let x be 1*(-1 - -2)*q. Suppose -88*m + 94*m = -30. What is the closest to x in 1, -2\/17, m?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12512718, -25025432, -37538140, -50050842?\n\"Answer: 3*y**2 - 12512723*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 - 5. Let a(t) = 2*t**2 - 3. Let l(r) = -5*a(r) + 3*y(r). Let o(c) = 28*c**2. Calculate o(l(g)).\nAnswer: 112*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -330*f**4 + 4*f**3 + 4*f**2 - 4*f + 137. Let d(w) = 333*w**4 - 3*w**3 - 3*w**2 + 3*w - 138. Let i(r) = -3*b(r) - 4*d(r). Differentiate i(y) wrt y.\nAnswer: -1368*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 - (-65)\/1)*1. Let a be 152\/2 + (11 - 13). Is a smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -256 - -1209. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 0*g - g)*(4*g - 4*g - 2*g**3) - 17*g**3 + 17*g**3 - 2755*g**4 - 403*g**4 to the form y*g**4 + m*g**2 + f + a*g + x*g**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60223390*t**2 - 2 + 60222365*t**2 + 2.\nAnswer: -1025*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1469 + -1451. Calculate the remainder when 231 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 19856676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 650\/(-9) - (-44)\/198. Let n = -135 - g. Let f = -49 - n. What is the remainder when 68 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - l - 1. Let y be j(2). Suppose 0 = -3*v - 3*r + 18, y = -v - 4*r - 4. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104 or 726\/7?\nAnswer: 726\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**8\/6720 - r**7\/420 + r**6\/180 + r**5\/20 + r**4\/8 - r**2. Let f(j) be the second derivative of l(j). Does 27 divide f(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 337 + (56 - 206)?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -4*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17272632 divided by -7221\nAnswer: 2392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 49\/63 - (-14)\/144. Sort x, 0.5, 3, -2\/9 in decreasing order.\nAnswer: 3, 0.5, x, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 0.022?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 291, -336, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2619.434mg?\nAnswer: 2619434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 109411 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 100 = 2*w - 154, w + 3*i - 120 = 0. What is the lowest common multiple of 8 and w?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**2 + 4*m + 7. Give u(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - l**3 - l**3)*((3*l + 0*l - l)*(-2*l + 3 - 3) - 537*l**2 - 171*l**2 - 53*l**2).\nAnswer: 1530*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2878 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 16*f**2 - 614*f - 423. Let d = -765 - -775. Let i(s) = 5*s**2 - 205*s - 141. Let m(r) = d*i(r) - 3*p(r). Differentiate m(q) wrt q.\nAnswer: 4*q - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 1:14 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 6 - c)*(-4*c**2 + 2*c**3 + 4*c**2).\nAnswer: -2*c**4 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a*a\/((a**(-2)*a*a)\/a)*a)\/a)\/(a**(-1\/6)\/a)*a\/a**(-1\/2)*(a\/(a\/a**(4\/7)))\/a assuming a is positive.\nAnswer: a**(152\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 = -17. Is (14\/x - 1)\/(2\/(-80)) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 5 - 5)*(0*q + 0*q - q) + q + 2*q**2 - q + q**2 + 2718 + q**2 - 2708 as p*q**2 + x*q + h and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2648338 less than -5?\nAnswer: -2648343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -71. Let l be 7 + (-1 - (2 - 0)). Suppose 0 = l*j - 5 - 3. Solve 5*g - 5*d = i, -5*g - j*d + 10 = 3*d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:48 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**2)\/((o*(o**(-1)\/o)\/o*o)\/o*o*o)*(o\/(o**(1\/2)*o))**(-29\/5))\/(o*o\/(o\/(o**0*o))*o*o**(-7))**(-2\/5) assuming o is positive.\nAnswer: o**(43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 18, 4\/9, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(3) + 3).\nAnswer: 4*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 15*u**2 - 19*u - 11. Suppose -y + 0*r = -r + 13, y + 5*r = -19. Is k(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155 + 175. Let q be (u\/(-4) - -4)*-2. Solve 0 = 3*k - k + q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 997071 is divided by 71219.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22977 + 23129. What is the highest common divisor of 2337 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + (sqrt(1053) + sqrt(1053)*-5)*-1 + 0)**2 + 4.\nAnswer: 144*sqrt(13) + 16856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5\/(((w\/(w**(2\/9)\/w))\/w)\/w))\/((w\/(w\/w**1))\/(w*w\/(w**(-1)*w))) assuming w is positive.\nAnswer: w**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/28*((-345)\/6)\/(-23)*4968\/1035\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*m - 18*m + 1539 = -117*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/4 + 695*w + 483025 = 0. Calculate w.\nAnswer: -1390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4 + 0.4. Let k = u + 8. Let x = k - 6. Which is the nearest to -1? (a) 4 (b) x (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2642, 5290, 7942, 10598, 13258, 15922?\nAnswer: 18590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i**3\/19 + 640*i**2\/19 + 446*i\/19 - 180\/19 = 0 for i.\nAnswer: -45, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s + 1. Let g(x) = -7*x + 2. Let d(u) = -u**2 - 6*u - 7. Let h be d(-6). Let y be h\/(-4)*(1 - -7). Let c be -7*(-12)\/y*1. Give c*g(a) - 11*q(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*j - 57*j - 43*j + 3*j + 2*j + 0*j - j + (6*j - 2*j - 2*j)*(-2 - 2 + 3) + 2*j + 0 + 0 - 4 + 6*j + 4.\nAnswer: -116*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10.65 and -73192043.\nAnswer: -73192053.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsgsegss. Give prob of sequence ss.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6088435 litres?\nAnswer: 608.8435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**3*m)*m*m\/m**(-2))\/((m\/(m**(2\/5)*m))\/m**(-5)) assuming m is positive.\nAnswer: m**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 912 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1122531635 to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1069 + -294. Calculate the common denominator of 83\/26 and (h\/(-12))\/5 + 1.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1007 (base 9) to base 7.\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 3*j + 3 = 8, -2*j = -6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3315111948.\nAnswer: 2, 3, 967, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7) + (-216)\/315. Which is the nearest to -2\/5? (a) 0.2 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*t**4 + 649100*t - 3847241 wrt t.\nAnswer: 12*t**3 + 649100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 214 + -212. Solve -2*i = -f, 3*o - 4*i - 2 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 17*j. Let k(u) = 4*u. Let s be k(1). Solve h + s = -j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74216019 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 81547847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 9*o - 18. Let g be l(-6). Determine t so that 0 - 1\/2*t**5 + 1\/2*t**2 + 1\/2*t**3 - 1\/2*t**4 + g*t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 417*n**2*y**2 + 34317938*n**2 + 8*n*y**2 + 322*n*y wrt y.\nAnswer: 834*n**2*y + 16*n*y + 322*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/201 and -95\/20559.\nAnswer: 1377453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18603055 rounded to 4 decimal places?\nAnswer: 0.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1442 + -1441.9998605. Round f to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from ppsppppsssssssppsp?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -81974100 rounded to the nearest 100000?\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*a - 1759 = -6079. Solve 0 = -9*h + h + a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c - 5*a = -69, -87 = -c + a. Let j = -22 + c. Suppose z - 6*z + j = 4*g, -3*z + 66 = 4*g. Calculate the remainder when 69 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*o + 36*o + 17*o - 203*o + 4758 = 0 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/57)\/(1\/(-2))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9587.709 litres to millilitres.\nAnswer: 9587709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48978 * 0.095.\nAnswer: 4652.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177 + -0.079204.\nAnswer: -177.079204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269, -550, -869, -1226, -1621?\nAnswer: -2054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*i = 2*i - 20*h + 180, -i + h - 8212 = -8198 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*r - 55, 5*t + 0 = r + 31. Suppose t*a - 715 + 92 = 0. Let x = 194 - a. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - q - 20, 5*q - 3*q = 3*r - 57. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26732.6 and -1.\nAnswer: -26732.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13*a**2 - 35*a - 61. Calculate the remainder when m(-2) is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.392 - -0.41. Let t = 0.418 - g. Which is the closest to 1\/4? (a) -2 (b) -14\/9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*-3*-5 + 1.\nAnswer: 1 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 4460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k + 4 = 0. Suppose 70*p - 35 = 63*p. Put 1, p, k in descending order.\nAnswer: p, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 193*w - 91*w + 4*w**2 - 102*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4 - 288834*m**3 - 18493698*m**2 + 18782530*m = 0. Calculate m.\nAnswer: -65, 0, 1, 144481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1617397\/187 + (72\/66)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 take away 142177999877?\nAnswer: -142177999877.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2\/4 - 660*i + 145200 = 0 for i.\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/424, -10572, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a decade in months?\nAnswer: 2460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11615, -6, -10 in increasing order.\nAnswer: -10, -6, 11615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -5, -2064 in decreasing order.\nAnswer: 12, -5, -2064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = -273 - 256 + 503. Let j = -8.19 - -0.19. Let w = -4 + 9. What is the third smallest value in f, w, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64923.\nAnswer: 3, 17, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-13))\/(137\/5343). Suppose 0 = 4*n - n. Sort l, n, -2 in descending order.\nAnswer: l, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w. Let h be i(1). Suppose -118 = -h*d + 47. Calculate the highest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6472?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 109*j**2 + 2 - 208*j - 9 + 201*j + 5.\nAnswer: 109*j**2 - 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3972 + 3972 - 2*l + l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -50817403 + 54.5135\nAnswer: -50817348.4865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 44, 374, -8, -12.\nAnswer: -12, -8, -5, 44, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-4) - 6\/(-1). Let i = 27 - 25. Let u(v) = v - i*v - h*v. Let l(g) = 2*g. Calculate l(u(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3))**(23\/5)\/(f**(-2\/3))**(-2\/25)*(f*f**(-3)\/f*f*f*f\/f**(-3\/8))\/(f*f**(1\/3))**(19\/5) assuming f is positive.\nAnswer: f**(-1927\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13600\/600)\/(8\/(-6)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = s - 5, 0 = -3*x + 4*x - 1. Let y(g) be the first derivative of 5\/2*g**2 - 7\/3*g**s - g + 3\/4*g**4 - 2. Determine u, given that y(u) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 675852877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 672*s - 1328.\nAnswer: -4*(s - 166)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.21 (b) 2\/15 (c) 1535\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*i**2*r + 6*a*i**2 + 10*a*i - 2*a*r - a + 2 wrt i?\nAnswer: -2*a*r + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 9 = 3. Let k(y) = -4*y - 1. What is the remainder when k(o) is divided by 2 - 5\/(15\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -7) + -12 + 1 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141820 divided by 20.\nAnswer: 7091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = -2*i. Let o(n) = -n**3 - 2*n**2 - 4*n - 3. Let h be o(i). Suppose 3*u - h = 27. What is the remainder when u is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1718 and -8885.\nAnswer: 1526.443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/w**4))\/w**6)\/(w\/(w*w*(w*w**0\/w)\/w*w))**(-6\/13) assuming w is positive.\nAnswer: w**(-45\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408998582 plus 0.917?\nAnswer: 1408998582.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1972 - -75cb?\nAnswer: 5a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8 + 5*j - 4*j**2 - 12 + 0*j**3 + 0*j + 2*j**3. Suppose g + t = 8, -6*g - t = -g - 20. What are the prime factors of m(g)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227860977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93040*w - 93061*w = 486 - 129 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 63*j**2 + 36*j + 36. Let y(m) = -9*m**2 - 5*m + 1. Let q(b) = 9*b**2 + 5*b. Let f(c) = -6*q(c) - 5*y(c). Calculate 36*f(u) + 5*p(u).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*v - 102 = 0, -3*l + 0*v + 102 = -5*v. Let j = l + -19. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -2\/9, -3\/2, -1\/9, 2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*y + 4 + 2, -2*n = 2*y - 20. Let v be (11 - 8)\/(1\/(-1)). Let r = n + v. What is the greatest common divisor of r and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -18 + 16 + -35 - 61?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5 = -10. Let y = 97\/5 - 761\/40. What is the second smallest value in w, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*w + 38 = -3, 2*w = 2*t - 18. Let v be 24\/3 + 1 + 1. Calculate the least common multiple of t and ((-1)\/2)\/((-1)\/v).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 319232*g.\nAnswer: -4*g*(g - 79808)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) 13\/2 (b) 76 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*(-32)\/(-20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 652113 - 7173245\/11. Let x be 317\/9 + 6\/(-27). Which is the second smallest value? (a) 1 (b) 0 (c) x (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1800.883 plus 63?\nAnswer: -1737.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95397*w**4 - 12*w**3 - 564599*w**2 + w wrt w.\nAnswer: 2289528*w - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*w + 622 = -848 - 194 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 19. Suppose -4*y - j + 16 = -3*y, 0 = -5*y + j + 74. Solve -10*z + f*z = -y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 5\/15*(-1 + 16). Factor o + 2\/5*w**2 - 4\/5*w.\nAnswer: 2*w*(w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*k - 36. What is the least common multiple of k and 244?\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-8 - 4) + 20 + -16\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -54*o - 4. Let c be w(-2). Calculate the highest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1321 divided by -2848?\nAnswer: 1321\/2848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -27021 (b) 171 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = a + j, -3*a + 6*a - 5*j - 22 = 0. Suppose 10*p + a*p - 19 = 0. Which is smaller: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 13*s + 22. Let o be c(9). Suppose 0*n + 2*n - o = 2*w, 3*n = 5*w + 97. Suppose -n - 56 = -4*p. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 24 = -364. Suppose 308 = -z - m. Is 22 a factor of z\/(-12) - (-6)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -0*n + 5*n. Let r = 9\/44 + -101\/924. Let i = -1998.4 + 1998. Which is the third smallest value? (a) 1\/9 (b) n (c) r (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 4\/9, 521 in increasing order.\nAnswer: -3, 4\/9, 1, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2840, -2832, -2810, -2768, -2700?\nAnswer: -2600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 10*f - 19. Let u be l(-12). Suppose -p - 4 - 5 = -4*h, 2*p = -u*h - 5. Solve 3*w + h = 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2057 is divided by 678.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 8530?\nAnswer: 85300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36054.\nAnswer: 2, 3, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccjc. What is prob of sequence jc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/12)\/(35\/15*1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i - 3. Let c(u) = 9*u - 4. Let r(v) = -3*c(v) + 4*j(v). Let b(k) be the first derivative of 4*k**2 - 292. Calculate b(r(s)).\nAnswer: 40*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d - d + 3*d)*(-2 + 3 - 2)*(87 - d**2 + 2*d**2 - 98) in the form h*d + c*d**3 + l*d**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 43.6. What is w rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + 5*p**4 - 2*p**4)*(-2 - p + 2) + (-66*p**3 - 47*p**3 + 7*p**3)*(5*p**2 - 2*p**2 - 5*p**2).\nAnswer: 208*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 24*y**3 - y**2 + 8*y**3 - 7*y + 6*y. Let k be f(-1). Let v be (-18)\/(-24) - (-3)\/12. Does k = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {g: 1, w: 3, f: 2, r: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9433977\/176 - 53602. What is the common denominator of m and -71\/480?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(2\/3))\/(o**(-2)*o))\/(o**(-8)*o\/(o**0*o)))**(12\/5) assuming o is positive.\nAnswer: o**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -44264146 divided by 4?\nAnswer: -22132073\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 - 0.61. Let v = -2.59 - i. Let d = 2 + -3. Which is the biggest value? (a) 5 (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 289673 + -289388.367. Let j = 284.83300075 - s. Let d = j + -0.2. What is d rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 5*d**9\/3024 - d**6\/120 + 7*d**3\/3 + 7. Let w(z) be the third derivative of j(z). What is the third derivative of w(k) wrt k?\nAnswer: 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -163364?\nAnswer: 5\/163364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 1. Let b(r) = -8*r - 6. Let y(h) = b(h) - 6*t(h). Let j(w) be the first derivative of -11\/2*w**2 + 0*w + 4. Determine j(y(o)).\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 5070.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-2 + 11 + -13) - -20?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -432, -434, -438, -444?\n\"Answer: -o**2 + o - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 12. Let k(s) = -s**3 - 3*s**2 + 6*s + 2. Let z be k(-4). Let g be b(z). Is 26 a factor of (-308)\/g - 14\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u + 11. Let s be v(8). Suppose -2*p = -7*p + s. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 2:27 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7182 - -7182.21. What is the fourth biggest value in -4, 2, q, 1\/2, 1\/27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 7 - 8*12\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -279 + 156. Let i be (1 - z\/(-9))*-3. Suppose 7*x - 9*x = -i. Calculate the highest common divisor of x and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuymymynuuymmmy. What is prob of sequence yu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 1160042?\nAnswer: 1160053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -82576 and -340.5.\nAnswer: 28117128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(190)*-1)\/((sqrt(10) + sqrt(250))*5))**2*2.\nAnswer: 38\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1128 and 49270758.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37503 and 471334?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/5)*y\/y**(-7))**(2\/131) assuming y is positive.\nAnswer: y**(88\/655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10850 and 563080?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -4, -1, 183 in increasing order.\nAnswer: -4, -2, -1, 5, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2. Let q(s) be the second derivative of s**3\/6 - 5*s. What is q(d(f))?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 3, 3, 1, -3?\n\"Answer: -w**2 + 5*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 1830*p**2 + 21672*p.\nAnswer: 2*p*(p - 903)*(p - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-8) + (-1)\/2. Let c be (-15)\/(-6) - l\/2. Suppose -b - 1 = 0, b - 1 = c*t + 2*b. Is 2\/3 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 10*v + 1 - 3)*(4 + 0 - 1)*(v - 6*v + 3*v).\nAnswer: 48*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**2 - 1069752*o - 1069749 = 0?\nAnswer: -356583, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 - 50708*w - 31955840\/9.\nAnswer: 2*(w - 228256)*(w + 70)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 + 40 = -35*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31132 and 91948?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -8, 6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -52677705 divided by 15?\nAnswer: -3511847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*d - 595*d + 2227 = -2784*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -5758.\nAnswer: -5757.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b + 2997 - 909. Is 3 a factor of (-6)\/1*(-4205)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9838 - 9182. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 370447, 740912, 1111375, 1481836, 1852295, 2222752, 2593207?\n\"Answer: -m**2 + 370468*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -a07316 (base 14) to base 8\nAnswer: -24457050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3*i + 18 + 5 = 0, 5*i - 23 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 21 = 6*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1037 = 8*f - 1005. Put -6, 0, f in decreasing order.\nAnswer: 0, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14987931 and 0.06?\nAnswer: -899275.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g. Let u(m) be the first derivative of -m**5\/120 - 11*m**4\/24 + 36*m**3 - 90. Let c(x) be the third derivative of u(x). Calculate y(c(l)).\nAnswer: -l - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1 - 52) + 3848 + -3839.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -0.4 (b) -0.8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.89 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 275860 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-48)\/10)\/((-21)\/140)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241.47833 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.111 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 15733760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 6*t + 6. Let n be s(-5). Let o be n*(3 + -6 + -2). Sort -3, o, -1 in decreasing order.\nAnswer: -1, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 6*x**2 - 6*x - 5. Let s be t(-5). Let o be -2 + 0\/2 + s. Let n be (-2)\/(-4) - (-6)\/(-4). Put 2, o, n in increasing order.\nAnswer: o, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/22 - 5043\/5412. What is the smallest value in 1\/28, 0, j, 2, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2450739, -9802956, -22056651, -39211824?\n\"Answer: -2450739*c**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 930 - -88. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 218 + -206. Suppose -v*b + 24*b = 6660. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-63) + (-10947)\/4340 + 3. Let h = j - -1\/124. What is the second smallest value in 0, -0.4, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 4\/3, -1, 1\/36, 224 in increasing order.\nAnswer: -1, 1\/36, 1\/4, 4\/3, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*z**2 - 2380\/3*z + 708050\/3 = 0 for z.\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 321 and 77361?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {z: 1, g: 5, j: 2, d: 1, r: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -148, -229, -396, -679?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**49*v**(-16\/3) assuming v is positive.\nAnswer: v**(131\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000729864 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1448077 divided by 162\nAnswer: -1448077\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1\/(-5)*(-20)\/(-48)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4374334634 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**5 - 4*o**5 + 3*o**5 - 2*o**5 - 3*o**4 + 3*o**4 + (2 - 2*o**4 - 2)*(3*o - 2*o + o) + 2*o**4 - 2*o**4 + 2*o**5 + 4*o**5 + 3*o**5 + 12*o**5.\nAnswer: 17*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2 + 3. Suppose -z + a + 3*a = -12, 0 = 2*z + h*a - 50. Let u(i) = i**2 - 4*i - 4. Let j be u(6). What is the greatest common divisor of z and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*r = -37*r - 3325. What is the second derivative of o + 633*o**5 - r*o**5 - 28 + 3 wrt o?\nAnswer: -640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20746991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 53, -4, 248, 50, -3.\nAnswer: -5, -4, -3, 1, 50, 53, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399438984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45947647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 20*w. Solve w = -232*m + 237*m + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(130\/(-56)) - -2. Let i be (-96)\/14 + -4 + 11. What is the second biggest value in w, i, -5\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4766 + (-70)\/10*1.\nAnswer: 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-7\/5)*r)\/r*r*r)\/(r\/r**(-2)))\/(r*r**(-1\/5)*r*r**(-3)))**(-50) assuming r is positive.\nAnswer: r**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.21 - -0.21. Which is the nearest to 0? (a) m (b) 2\/9 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 972291 to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, a: 2}. Give prob of picking 1 a and 2 l.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u - 4*u + 0*u + 6*u + 14. Calculate l(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 2*c - 38 = 0, 0 = 2*g - 4*c - 1303 + 1227 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 21759*d + 3991198. Calculate p(185).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 160 = 8*g. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1296 is divided by 645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 153 = 29. Calculate the highest common factor of u and 273.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 10, y: 1, k: 6, s: 2}. What is prob of sequence ny?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3, w = z + 3*z - 5. Let o be 18\/(-4)*24\/(-9). Solve -z*c = 2*t + 6, 7*t + 3*c = 3*t - o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-12) + 22\/(-8). Let u(x) = -x**3 - x**2 + 5*x + 3. Let b be u(l). Suppose 12*y - 10*y = 12. Calculate the greatest common factor of y and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208493.\nAnswer: 208493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {j: 3, p: 2, c: 1, a: 1, k: 1, m: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5718\/41932*(-946)\/(-3)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8*15\/(-2)*24\/(-120). Calculate the greatest common factor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 8 = -4. Let i(v) = 8*v - 2. Suppose 1060 = 17*r + 1094. Let f(u) = -9*u + 2. What is a*i(s) + r*f(s)?\nAnswer: -6*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 385?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8627.336 micrometers in centimeters?\nAnswer: 0.8627336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 2:32 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + h**3 - 2*h**3 + (0*h + 7*h + 8*h)*(0*h**2 + 0*h**2 - 3*h**2).\nAnswer: -47*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, m: 1, f: 3, z: 1, y: 1, g: 2}. What is prob of sequence fy?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26986 - -73837. Suppose -9*r + x = -225048. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s = -20. Solve -2*u - s = 0, q - 4*u = 16 - 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -436 in decreasing order.\nAnswer: 1, -2, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8659\/1256 + 3\/157. What is the common denominator of 115\/18 and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/12465098 and 69\/452102.\nAnswer: 87255686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Let r(h) = -h**2 - 4. Let z be r(0). Let b be (2 - (z - -5)) + 3. Solve 0 = f*p - 0*p - t + 11, -24 = 2*p - b*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**5 + 760125*n**4 - 12351299*n**3 + 61565329*n**2 - 89117133*n + 18621470 = 0. Calculate n.\nAnswer: 1\/4, 2, 7, 190015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.084 + -1.084. Put 1\/4, 0.2, i in descending order.\nAnswer: 1\/4, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -17*m**2 + 9*m + 3. Let s(f) = -9*f**2 + 5*f + 2. Calculate 7*s(i) - 4*u(i).\nAnswer: 5*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 6*t - 1. Let w be i(-6). Let r(n) = -95*n + 2. Is r(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16, -2\/9, 1\/4, 2, 292908 in descending order.\nAnswer: 292908, 2, 1\/4, 0, -2\/9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 9*i + 4*p + 37, 75 = 3*i - 3*p. Suppose -3*n - s = -5*n + i, 2*s + 51 = 5*n. Calculate the remainder when 33 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18086 - 18086.4. Which is the smallest value? (a) 3\/28 (b) 3 (c) 0.3 (d) -5 (e) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.932 - 3.852. What is the smallest value in k, -0.1, 25\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(7) + (sqrt(192)*-4)**2)*-5.\nAnswer: -15360 - 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, f: 5, i: 2, b: 3, q: 2}. Give prob of picking 2 n and 1 q.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14898484 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10636*x**5 - x**4 + x**3 - 8*x**2 - 9*x + 185 wrt x?\nAnswer: 638160*x**2 - 24*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*v - 13. Let y = v - -10. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m + r = 67 - 69, 5*r = 9*m + 94 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -13. Let t = -2527 - -2530. Solve t*y = 2*s - 10, s - 2*y + 4 = -v*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117 or -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -4\/5 (b) -4 (c) -5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 14) to base 16\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6 + 2 + 0 + 2*g - 3 - g**2. Give t(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyaaaaya.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 286532132 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**3 - 3*h**3 - 1 - 3*h**3 to l*h + b + p*h**3 + j*h**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -55680 divided by 15?\nAnswer: -3712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeeffeuuewxxee. Give prob of picking 3 e.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b - 10. Let x = 192 - 190. Let t be z(x). Solve -t*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p**3 + 12*p**3 - 99*p**3 - 89*p**3.\nAnswer: -160*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 9 - (-6 + (-6 - -7)) - 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3, -2, 0 in ascending order.\nAnswer: -13, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/50)\/(1*39\/(-26))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 846606.4 kilograms to grams.\nAnswer: 846606400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 39*w - 193 = 8*w, 467*w = -5*a + 466*w + 47 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 191860*c - 192173*c + 7 - 4 as t*c + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 0.0633\nAnswer: 0.5633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 103*y**2 - 99*y**2 - 4.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olppppopoppopzop. Give prob of sequence pl.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -5267.43104?\nAnswer: -5265.43104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n**0*n)\/n)*((n\/n**(1\/4))\/n*n)\/n*(n**(-6)\/n)\/(n\/n**(-2\/7))*(n**0*n**(1\/6))\/(n**(3\/8)*n\/(n*n**4*n*n)) assuming n is positive.\nAnswer: n**(-293\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*b**3*h**2*j - 2*b**3*h - b**3*j - 48*b**2*j**2 + b**2 - 10*b*h**2*j**2 - 2*h**3 wrt h?\nAnswer: -16*b**3*j - 20*b*j**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6)*(-33)\/(-44). What is the biggest value in -1, -3\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 544824420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.075? (a) 0.1 (b) -2\/3 (c) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2 + 0 - 2*k - 1 + 0*k. Let a be c(-3). Suppose -w + 0 + a = 0. Solve 2 = -w*x - 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69789 and 2451.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {s: 2, h: 9, w: 2}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 12:10 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.064 - 0.264. Let u = v + 0.19266. What is u rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= 6942654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 + 94 = 3*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9 - 492\/(-9). Suppose 3*r - 49 = c, 2*c + r + m + 30 = 0. Let z = c + 60. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-2 - -4) - (-2 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g = 43*g - 24 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w\/w**(-2))\/w))\/w)**(-17\/4)*(w\/(w**0*w))**(3\/23) assuming w is positive.\nAnswer: w**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - u - 3. Let a(j) = -j**3 + 2*j**2 - j - 1. Suppose 0 = p - f + 1 + 1, 5*f = 20. Let h be a(p). Determine y(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49827 is divided by 330?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c**2 + 5*c. Let a(p) = 9*p**2 + 4*p. Let t(i) = -4*a(i) + 3*h(i). Let j(k) = -5*k**2 - 2*k - 1. Let x(n) = -5*j(n) + 4*t(n). Factor x(y).\nAnswer: (y + 1)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 10*q - 103. List the prime factors of y(-20).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -6. Suppose -2*z - 3*f + 21 = 0, 2*z - 2*f - f = 3. Suppose -6*k = -m*k - z. Solve 2*t = k*w + 2, 2*t + 5*w + 26 = w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r + 4. Suppose 0 = -5*w - 3*i - 11, -4*w - 2*i - 8 = -0*w. Let y be 20\/8*(-18)\/15. Let u(t) = -1. Calculate w*b(v) + y*u(v).\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**3 + 12*g**2 + 345*g + 1050 = 0.\nAnswer: -5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*d + 10, -3*m + 4 = -2*d + m. Let u(i) = i**3 + 4*i**2 + 4*i + 3. Give u(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546017 is divided by 303.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19\/12, -81, 4?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 275\/25*(28\/(7\/(-1)))\/2\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3808259 to the nearest integer?\nAnswer: 1951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3142 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010667 rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 73*i + 479. Calculate x(-8).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*m - 30 = -60*m + 5*f, -3*m + f = 10. Sort m, -31, 7 in ascending order.\nAnswer: -31, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3207858 * 0.04.\nAnswer: -128314.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3852 + -3831. Solve 0 = h*r - 13*r + 48 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -155 - -17?\nAnswer: -13d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 15*r + 41. Give c(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 15*c - 1. Let y(m) = 640*m + 623*m - 1258*m. Calculate y(t(s)).\nAnswer: 75*s - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17257, 34465, 51617, 68713, 85753, 102737?\nAnswer: 119665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -290, 1, 1\/2, 6\/61, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/42 - 219\/(-21). Suppose -v = -l*v + 110. Solve 4*i - i = -5*x + 11, 5*i + x = v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3259764*-2.5.\nAnswer: -0.814941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 192236795 to the nearest one million.\nAnswer: 192000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -28. What is the second biggest value in b, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*x - 97710 = -93644 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*g + 1249, -3*r + 4312 = -g + 565. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 660 and 780?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o - 4. Suppose -3*b + 15 = -0*b, 0 = -q - b + 9. Let u be d(q). What is the tens digit of 18 - (-2)\/u*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 71*h**2 - 72*h + 3. Let w be q(1). Suppose 0 - 6\/5*y - 3\/5*y**w = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4351, 4225, 4099?\n\"Answer: -126*d + 4477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 179091 and 276777?\nAnswer: 3044547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 16*f = 27. Suppose -q = f*n - 18, -q + 0*q + 53 = -4*n. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(114)*6)\/(sqrt(42)\/sqrt(63)).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 97, 148, 223, 322?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 527186.7l to millilitres.\nAnswer: 527186700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28934 or -29134?\nAnswer: -29134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15 + 1)*15\/20. Suppose -16*x = -m*x - 80. Solve 0 = -4*h + 5*t + x, 4 = h + 3*t - 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2*(-1)\/(-2)). Suppose n = z + z - 226. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a + 4 = 0. Suppose 5*m = -5*x - 79190, -3*x - a*x - m = 79178. Let h = -284903\/18 - x. What is the common denominator of h and 9\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2724854, -5449787, -8174720, -10899653, -13624586?\n\"Answer: -2724933*k + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25877087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 - 2*f**2 + 4*f - 3. Let s be o(2). Suppose 5*r - 38 = -s. Let w(t) be the first derivative of t**4\/4 - 4*t**3\/3 - 2*t**2 + 1. Give w(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -451\/108 + -47\/27. What is the common denominator of o and ((-534)\/112)\/(6\/8)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, -13, -14, -13, -10, -5?\n\"Answer: n**2 - 6*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/1)\/(1 + 0). Let v be ((-1)\/j)\/(2 - (-27)\/(-15)). Let s(p) = -p**3 - 2*p**2 + p + 9. What are the prime factors of s(v)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - t**2 + 3*t**3)*((4 - 3 + 0)*(-30 - 14*t + 30) - 2*t - 3*t + 3*t).\nAnswer: -48*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2)*1)**2 - (sqrt(6)\/sqrt(3) + -4).\nAnswer: 3*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*h*j**2 - h*j + 12*h + 79*j**2 - 6*j wrt j.\nAnswer: 164*h + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -456 + 461. What is the least common multiple of n and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2721882 times -19?\nAnswer: -51715758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 + 15*n - 8. What is f(9)?\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*49 - 10*(-36)\/360. Put w, -2\/13, -0.3 in decreasing order.\nAnswer: w, -2\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*b - 396*b + 4*j = -73, -b - 5*j - 8 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.8 + -5.71. Which is the second smallest value? (a) t (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5491 (base 11) to base 5\nAnswer: 212424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8722941mm?\nAnswer: 872294.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 17*r + 876. Suppose -6*j + 51 = -r. Suppose 0 = -35*p + 30*p + j. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 387010 and 8783982?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o. Let k(z) = 29139*z**2 + 1124*z. Determine k(u(v)).\nAnswer: 728475*v**2 - 5620*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -878949 by -91.\nAnswer: 878949\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.4, 2\/9, -197, -7\/9?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*r = -301*r - i + 21, -3*r - 3*i + 52 = 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -4.2?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.595, 0.4, -8, -3?\nAnswer: 0.595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8\/6*(22 + -27 + 4388)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(102\/(-578)*-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - 2 + 2. Let f(q) be the first derivative of q**5\/40 - q**3 - 1. Let g(s) be the third derivative of f(s). Determine c(g(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4\/17 - 50\/17*j + 4*j**2 - 22\/17*j**3 = 0.\nAnswer: 1\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12873, 12833, 12791, 12753, 12725?\n\"Answer: x**3 - 7*x**2 - 26*x + 12905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 9*y**3 + 8*y**2 - 8*y + 6. Let s = -6838 - -6844. Suppose 2*b - 20 = -2*b. Let d(c) = -8*c**3 - 7*c**2 + 7*c - 5. Give b*u(p) + s*d(p).\nAnswer: -3*p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tftt when four letters picked without replacement from {f: 1, t: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.8 - 4.800037. Round j to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1822825782 rounded to 5 decimal places?\nAnswer: -1.18228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, u: 9}. What is prob of picking 1 u and 1 s?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s. Let o be c(-12). Let x be (-9)\/(o\/(-128)) - -3. Let k be (-18)\/(-10) - (-7)\/x. Solve -3*z + 8*z = -25, -z - k = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13272 and 1738?\nAnswer: 145992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 25*z - 21*z + 9 - 3.\nAnswer: 4*z - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-2)\/(-40)*2))\/((-39277)\/(-471324))\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1 - (2 - 1) - (861 - 738)) + -1?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*n - 29*n = -125 + 557 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/7 + 264*v**4\/7 + 7802*v**3\/7 - 43116*v**2\/7 - 890560*v\/7 - 2558400\/7 = 0. What is v?\nAnswer: -82, -52, -5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvv when three letters picked without replacement from jvamavavamqammqja.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 33. Let h be (3\/p)\/((-2)\/(-22)). Suppose -h*b + 2*b = 0. Solve 0 = -5*z - f - b*f - 9, 15 = z - 4*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 + 68 - 51 = -100*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*a + 4*v, 2*a - 5*v = -2*a + 61. Let b = 2068 + -1984. Find the second derivative of -105*d**3 + 31*d + b*d**3 - a*d wrt d.\nAnswer: -126*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504060?\nAnswer: 2, 3, 5, 31, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 1454?\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 229, 147, -113, -653, -1575?\n\"Answer: -17*t**3 + 13*t**2 - 2*t + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16820 and 800.\nAnswer: 672800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjlsjlajlsl. Give prob of picking 1 s and 1 a.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21063032141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380*b + 407*b = 174474. Does 46 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h - 124*h = -34*h - 288. Let w(b) = 7*b + 5. Let x(c) = -7*c - 4. Give h*x(s) + 5*w(s).\nAnswer: -7*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -10\/43, -4\/7, -4, 1 in decreasing order.\nAnswer: 1, -10\/43, -3\/7, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*1*(-3 + (-4*(0 + sqrt(171)) + (sqrt(171)*1 - sqrt(171)) + -4)**2).\nAnswer: -10996 - 384*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 409, 812, 1209, 1600?\n\"Answer: -3*o**2 + 412*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539*r + 126 = 525*r - 1067*r, i - 46 = r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*(sqrt(102) - (sqrt(102)*-1 + sqrt(102) - sqrt(102))))\/(sqrt(54)\/(-1*sqrt(9) - sqrt(9))).\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 901*n**3 - 17 + 18 + 1009*n**3.\nAnswer: 1910*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 + 7 + -14 - -1777. What is the highest common divisor of d and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 3*s + s)*(-25 - 15 - 31 - 112) in the form u*s + n and give u.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5 + 31*g + 2*g**3 + 5*g**3 - 6*g**2 - 6*g - 20*g. Let j = -24 + 29. Let m(s) = 6*s**3 - 5*s**2 + 4*s - 4. Calculate j*m(b) - 4*h(b).\nAnswer: 2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (176\/704)\/(2\/(-20*1)). Let q be 864\/195 + (-36)\/9. Let r = q - 2\/65. What is the third biggest value in z, 0.5, r, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50985 and 30.\nAnswer: 101970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*s - 3*i + 1240, 5*s = 4*i + 1240. Let x = s + -122. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-2)*(7 + (-176)\/24). Let c = -71 - -41. Let g = -31 - c. Put g, y, -0.5, 4 in ascending order.\nAnswer: g, -0.5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-3 + (-2 - -4). Let k = 2.93 + -0.13. Let o = -1.8 + k. What is the closest to o in -2\/3, -1\/6, b?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 219, 332, 445, 558, 671?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3414?\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 28 + -20 + -27?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -47, -89, -169, -299, -491, -757, -1109?\nAnswer: -1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -3 (c) -1 (d) -3\/2 (e) -2.562 (f) -54\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4)*(-8)\/12*-1. Which is smaller: 1\/154 or k?\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1215 - 1116. What is the remainder when 105 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p = 40*p - 40 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -1\/20*n**5 + 2*n**2 - n + 1\/6*n**3 - 1\/3*n**4 + 0. What is w(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 639438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 2*a**3\/3 - 37. Let k(m) be the second derivative of -m**4\/6 - m. What is l(k(h))?\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from {s: 2, k: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 25 = -5. Suppose 3*u = m*u - 2019000. What is u rounded to the nearest ten thousand?\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 25. Let g be m(13). Let r(j) = 2*j**2 + g*j + 0*j**2 + 3 + 11 + 15. Is r(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 16 = -4*c + 5*l, 4*c + 4 = -4*l. Let v be 52\/c - 4\/24*2. Solve 4*a - 5*r - v = 0, 4*r = 5*a - a - 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cygguugcgy. Give prob of sequence gcu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459698 is divided by 209.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158207, 316512, 474817, 633122, 791427, 949732?\nAnswer: 1108037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 0, -21, -91, 4 in descending order.\nAnswer: 4, 0, -21, -64, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 2646?\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}